id	sid	tid	token	lemma	pos
iogr-1185	1	1	copyright	copyright	NOUN
iogr-1185	1	2	©	©	ADP
iogr-1185	1	3	the	the	DET
iogr-1185	1	4	author(s	author(s	NOUN
iogr-1185	1	5	)	)	PUNCT
iogr-1185	1	6	.	.	PUNCT
iogr-1185	2	1	this	this	DET
iogr-1185	2	2	work	work	NOUN
iogr-1185	2	3	is	be	AUX
iogr-1185	2	4	licensed	license	VERB
iogr-1185	2	5	under	under	ADP
iogr-1185	2	6	a	a	DET
iogr-1185	2	7	creative	creative	ADJ
iogr-1185	2	8	commons	common	NOUN
iogr-1185	2	9	attribution	attribution	NOUN
iogr-1185	2	10	4.0	4.0	NUM
iogr-1185	2	11	international	international	ADJ
iogr-1185	2	12	license	license	NOUN
iogr-1185	2	13	.	.	PUNCT
iogr-1185	3	1	doi	doi	NOUN
iogr-1185	3	2	:	:	PUNCT
iogr-1185	3	3	10.14800	10.14800	NUM
iogr-1185	3	4	/	/	SYM
iogr-1185	3	5	iogr.1185	iogr.1185	PROPN
iogr-1185	3	6	received	receive	VERB
iogr-1185	3	7	february	february	PROPN
iogr-1185	3	8	23	23	NUM
iogr-1185	3	9	,	,	PUNCT
iogr-1185	3	10	2021	2021	NUM
iogr-1185	3	11	;	;	PUNCT
iogr-1185	3	12	revised	revise	VERB
iogr-1185	3	13	march	march	PROPN
iogr-1185	3	14	15	15	NUM
iogr-1185	3	15	,	,	PUNCT
iogr-1185	3	16	2021	2021	NUM
iogr-1185	3	17	;	;	PUNCT
iogr-1185	3	18	accepted	accept	VERB
iogr-1185	3	19	april	april	PROPN
iogr-1185	3	20	6	6	NUM
iogr-1185	3	21	,	,	PUNCT
iogr-1185	3	22	2021	2021	NUM
iogr-1185	3	23	.	.	PUNCT
iogr-1185	4	1	*	*	PUNCT
iogr-1185	4	2	corresponding	correspond	VERB
iogr-1185	4	3	author	author	NOUN
iogr-1185	4	4	:	:	PUNCT
iogr-1185	4	5	dongzhenzhen1120@hotmail.com	dongzhenzhen1120@hotmail.com	PROPN
iogr-1185	4	6	1	1	NUM
iogr-1185	4	7	optimization	optimization	NOUN
iogr-1185	4	8	of	of	ADP
iogr-1185	4	9	flowback	flowback	NOUN
iogr-1185	4	10	operations	operation	NOUN
iogr-1185	4	11	for	for	ADP
iogr-1185	4	12	shale	shale	NOUN
iogr-1185	4	13	gas	gas	NOUN
iogr-1185	4	14	wells	wells	PROPN
iogr-1185	4	15	cheng	cheng	PROPN
iogr-1185	4	16	dai	dai	PROPN
iogr-1185	4	17	,	,	PUNCT
iogr-1185	4	18	research	research	PROPN
iogr-1185	4	19	institute	institute	PROPN
iogr-1185	4	20	of	of	ADP
iogr-1185	4	21	petroleum	petroleum	NOUN
iogr-1185	4	22	exploration	exploration	NOUN
iogr-1185	4	23	and	and	CCONJ
iogr-1185	4	24	development	development	NOUN
iogr-1185	4	25	,	,	PUNCT
iogr-1185	4	26	sinopec	sinopec	PROPN
iogr-1185	4	27	group	group	PROPN
iogr-1185	4	28	,	,	PUNCT
iogr-1185	4	29	beijing	beijing	PROPN
iogr-1185	4	30	,	,	PUNCT
iogr-1185	4	31	china	china	PROPN
iogr-1185	4	32	;	;	PUNCT
iogr-1185	4	33	zhenzhen	zhenzhen	PROPN
iogr-1185	4	34	dong	dong	PROPN
iogr-1185	4	35	*	*	PROPN
iogr-1185	4	36	,	,	PUNCT
iogr-1185	4	37	xi’an	xi’an	PROPN
iogr-1185	4	38	shiyou	shiyou	PROPN
iogr-1185	4	39	university	university	PROPN
iogr-1185	4	40	,	,	PUNCT
iogr-1185	4	41	xi’an	xi’an	PROPN
iogr-1185	4	42	,	,	PUNCT
iogr-1185	4	43	china	china	PROPN
iogr-1185	4	44	;	;	PUNCT
iogr-1185	4	45	xiang	xiang	PROPN
iogr-1185	4	46	li	li	PROPN
iogr-1185	4	47	,	,	PUNCT
iogr-1185	4	48	ennosoft	ennosoft	PROPN
iogr-1185	4	49	ltd	ltd	PROPN
iogr-1185	4	50	,	,	PUNCT
iogr-1185	4	51	beijing	beijing	PROPN
iogr-1185	4	52	,	,	PUNCT
iogr-1185	4	53	china	china	PROPN
iogr-1185	4	54	;	;	PUNCT
iogr-1185	4	55	weidong	weidong	PROPN
iogr-1185	4	56	tian	tian	PROPN
iogr-1185	4	57	,	,	PUNCT
iogr-1185	4	58	xi’an	xi’an	PROPN
iogr-1185	4	59	shiyou	shiyou	PROPN
iogr-1185	4	60	university	university	PROPN
iogr-1185	4	61	,	,	PUNCT
iogr-1185	4	62	xi’an	xi’an	PROPN
iogr-1185	4	63	,	,	PUNCT
iogr-1185	4	64	china	china	PROPN
iogr-1185	4	65	abstract	abstract	PROPN
iogr-1185	4	66	hydraulic	hydraulic	PROPN
iogr-1185	4	67	fracturing	fracturing	NOUN
iogr-1185	4	68	has	have	AUX
iogr-1185	4	69	become	become	VERB
iogr-1185	4	70	one	one	NUM
iogr-1185	4	71	of	of	ADP
iogr-1185	4	72	the	the	DET
iogr-1185	4	73	most	most	ADV
iogr-1185	4	74	important	important	ADJ
iogr-1185	4	75	aspects	aspect	NOUN
iogr-1185	4	76	of	of	ADP
iogr-1185	4	77	well	well	ADJ
iogr-1185	4	78	completion	completion	NOUN
iogr-1185	4	79	because	because	SCONJ
iogr-1185	4	80	of	of	ADP
iogr-1185	4	81	the	the	DET
iogr-1185	4	82	everincreasing	everincrease	VERB
iogr-1185	4	83	development	development	NOUN
iogr-1185	4	84	of	of	ADP
iogr-1185	4	85	unconventional	unconventional	ADJ
iogr-1185	4	86	oil	oil	NOUN
iogr-1185	4	87	and	and	CCONJ
iogr-1185	4	88	gas	gas	NOUN
iogr-1185	4	89	reservoirs	reservoir	NOUN
iogr-1185	4	90	.	.	PUNCT
iogr-1185	5	1	uncontrolled	uncontrolled	ADJ
iogr-1185	5	2	fluid	fluid	ADJ
iogr-1185	5	3	flowback	flowback	NOUN
iogr-1185	5	4	after	after	SCONJ
iogr-1185	5	5	the	the	DET
iogr-1185	5	6	fracture	fracture	NOUN
iogr-1185	5	7	treatment	treatment	NOUN
iogr-1185	5	8	has	have	VERB
iogr-1185	5	9	the	the	DET
iogr-1185	5	10	potential	potential	NOUN
iogr-1185	5	11	to	to	PART
iogr-1185	5	12	impact	impact	VERB
iogr-1185	5	13	well	well	ADJ
iogr-1185	5	14	productivity	productivity	NOUN
iogr-1185	5	15	and	and	CCONJ
iogr-1185	5	16	profitability	profitability	NOUN
iogr-1185	5	17	,	,	PUNCT
iogr-1185	5	18	as	as	SCONJ
iogr-1185	5	19	aggressive	aggressive	ADJ
iogr-1185	5	20	flowback	flowback	NOUN
iogr-1185	5	21	strategies	strategy	NOUN
iogr-1185	5	22	can	can	AUX
iogr-1185	5	23	damage	damage	VERB
iogr-1185	5	24	a	a	DET
iogr-1185	5	25	well	well	NOUN
iogr-1185	5	26	’s	’s	PART
iogr-1185	5	27	completion	completion	NOUN
iogr-1185	5	28	while	while	SCONJ
iogr-1185	5	29	conservative	conservative	ADJ
iogr-1185	5	30	flowback	flowback	NOUN
iogr-1185	5	31	procedures	procedure	NOUN
iogr-1185	5	32	may	may	AUX
iogr-1185	5	33	hinder	hinder	VERB
iogr-1185	5	34	near	near	ADJ
iogr-1185	5	35	-	-	PUNCT
iogr-1185	5	36	term	term	NOUN
iogr-1185	5	37	economic	economic	ADJ
iogr-1185	5	38	performance	performance	NOUN
iogr-1185	5	39	.	.	PUNCT
iogr-1185	6	1	the	the	DET
iogr-1185	6	2	goal	goal	NOUN
iogr-1185	6	3	of	of	ADP
iogr-1185	6	4	this	this	DET
iogr-1185	6	5	study	study	NOUN
iogr-1185	6	6	was	be	AUX
iogr-1185	6	7	to	to	PART
iogr-1185	6	8	develop	develop	VERB
iogr-1185	6	9	an	an	DET
iogr-1185	6	10	integrated	integrate	VERB
iogr-1185	6	11	flowback	flowback	NOUN
iogr-1185	6	12	model	model	NOUN
iogr-1185	6	13	of	of	ADP
iogr-1185	6	14	fracturing	fracture	VERB
iogr-1185	6	15	fluid	fluid	NOUN
iogr-1185	6	16	that	that	PRON
iogr-1185	6	17	can	can	AUX
iogr-1185	6	18	accelerate	accelerate	VERB
iogr-1185	6	19	production	production	NOUN
iogr-1185	6	20	while	while	SCONJ
iogr-1185	6	21	minimizing	minimize	VERB
iogr-1185	6	22	the	the	DET
iogr-1185	6	23	risk	risk	NOUN
iogr-1185	6	24	of	of	ADP
iogr-1185	6	25	a	a	DET
iogr-1185	6	26	decrease	decrease	NOUN
iogr-1185	6	27	in	in	ADP
iogr-1185	6	28	the	the	DET
iogr-1185	6	29	estimated	estimate	VERB
iogr-1185	6	30	ultimate	ultimate	ADJ
iogr-1185	6	31	recovery	recovery	NOUN
iogr-1185	6	32	or	or	CCONJ
iogr-1185	6	33	a	a	DET
iogr-1185	6	34	damage	damage	NOUN
iogr-1185	6	35	to	to	ADP
iogr-1185	6	36	the	the	DET
iogr-1185	6	37	productivity	productivity	NOUN
iogr-1185	6	38	of	of	ADP
iogr-1185	6	39	the	the	DET
iogr-1185	6	40	well	well	NOUN
iogr-1185	6	41	.	.	PUNCT
iogr-1185	7	1	first	first	ADV
iogr-1185	7	2	,	,	PUNCT
iogr-1185	7	3	by	by	ADP
iogr-1185	7	4	considering	consider	VERB
iogr-1185	7	5	the	the	DET
iogr-1185	7	6	complex	complex	ADJ
iogr-1185	7	7	situations	situation	NOUN
iogr-1185	7	8	occurring	occur	VERB
iogr-1185	7	9	during	during	ADP
iogr-1185	7	10	fracturing	fracture	VERB
iogr-1185	7	11	fluid	fluid	NOUN
iogr-1185	7	12	flowback	flowback	NOUN
iogr-1185	7	13	,	,	PUNCT
iogr-1185	7	14	a	a	DET
iogr-1185	7	15	fluid	fluid	NOUN
iogr-1185	7	16	-	-	PUNCT
iogr-1185	7	17	solid	solid	ADJ
iogr-1185	7	18	coupling	couple	VERB
iogr-1185	7	19	numerical	numerical	PROPN
iogr-1185	7	20	model	model	PROPN
iogr-1185	7	21	corresponding	correspond	VERB
iogr-1185	7	22	to	to	ADP
iogr-1185	7	23	fracture	fracture	NOUN
iogr-1185	7	24	closure	closure	NOUN
iogr-1185	7	25	was	be	AUX
iogr-1185	7	26	established	establish	VERB
iogr-1185	7	27	and	and	CCONJ
iogr-1185	7	28	solved	solve	VERB
iogr-1185	7	29	with	with	ADP
iogr-1185	7	30	the	the	DET
iogr-1185	7	31	finite	finite	ADJ
iogr-1185	7	32	-	-	ADJ
iogr-1185	7	33	element	element	ADJ
iogr-1185	7	34	method	method	NOUN
iogr-1185	7	35	.	.	PUNCT
iogr-1185	8	1	a	a	DET
iogr-1185	8	2	proppant	proppant	ADJ
iogr-1185	8	3	transport	transport	NOUN
iogr-1185	8	4	model	model	NOUN
iogr-1185	8	5	was	be	AUX
iogr-1185	8	6	established	establish	VERB
iogr-1185	8	7	to	to	PART
iogr-1185	8	8	investigate	investigate	VERB
iogr-1185	8	9	the	the	DET
iogr-1185	8	10	time	time	NOUN
iogr-1185	8	11	and	and	CCONJ
iogr-1185	8	12	displacement	displacement	NOUN
iogr-1185	8	13	of	of	ADP
iogr-1185	8	14	proppant	proppant	NOUN
iogr-1185	8	15	migration	migration	NOUN
iogr-1185	8	16	within	within	ADP
iogr-1185	8	17	the	the	DET
iogr-1185	8	18	fracture	fracture	NOUN
iogr-1185	8	19	.	.	PUNCT
iogr-1185	9	1	fluid	fluid	ADJ
iogr-1185	9	2	velocity	velocity	NOUN
iogr-1185	9	3	in	in	ADP
iogr-1185	9	4	the	the	DET
iogr-1185	9	5	fracture	fracture	NOUN
iogr-1185	9	6	created	create	VERB
iogr-1185	9	7	as	as	ADP
iogr-1185	9	8	a	a	DET
iogr-1185	9	9	result	result	NOUN
iogr-1185	9	10	of	of	ADP
iogr-1185	9	11	flowback	flowback	NOUN
iogr-1185	9	12	was	be	AUX
iogr-1185	9	13	considered	consider	VERB
iogr-1185	9	14	,	,	PUNCT
iogr-1185	9	15	along	along	ADP
iogr-1185	9	16	with	with	ADP
iogr-1185	9	17	its	its	PRON
iogr-1185	9	18	effects	effect	NOUN
iogr-1185	9	19	on	on	ADP
iogr-1185	9	20	proppant	proppant	NOUN
iogr-1185	9	21	movement	movement	NOUN
iogr-1185	9	22	and	and	CCONJ
iogr-1185	9	23	localized	localized	ADJ
iogr-1185	9	24	fracture	fracture	NOUN
iogr-1185	9	25	closure	closure	NOUN
iogr-1185	9	26	.	.	PUNCT
iogr-1185	10	1	finally	finally	ADV
iogr-1185	10	2	,	,	PUNCT
iogr-1185	10	3	by	by	ADP
iogr-1185	10	4	integrating	integrate	VERB
iogr-1185	10	5	the	the	DET
iogr-1185	10	6	two	two	NUM
iogr-1185	10	7	-	-	PUNCT
iogr-1185	10	8	phase	phase	NOUN
iogr-1185	10	9	tubing	tubing	NOUN
iogr-1185	10	10	flow	flow	NOUN
iogr-1185	10	11	model	model	NOUN
iogr-1185	10	12	,	,	PUNCT
iogr-1185	10	13	the	the	DET
iogr-1185	10	14	proppant	proppant	NOUN
iogr-1185	10	15	transport	transport	NOUN
iogr-1185	10	16	model	model	NOUN
iogr-1185	10	17	,	,	PUNCT
iogr-1185	10	18	and	and	CCONJ
iogr-1185	10	19	the	the	DET
iogr-1185	10	20	fluid	fluid	NOUN
iogr-1185	10	21	-	-	PUNCT
iogr-1185	10	22	solid	solid	ADJ
iogr-1185	10	23	coupling	coupling	NOUN
iogr-1185	10	24	model	model	NOUN
iogr-1185	10	25	,	,	PUNCT
iogr-1185	10	26	an	an	DET
iogr-1185	10	27	integrated	integrate	VERB
iogr-1185	10	28	reservoir	reservoir	NOUN
iogr-1185	10	29	-	-	PUNCT
iogr-1185	10	30	fracture	fracture	NOUN
iogr-1185	10	31	-	-	PUNCT
iogr-1185	10	32	wellhead	wellhead	NOUN
iogr-1185	10	33	model	model	NOUN
iogr-1185	10	34	was	be	AUX
iogr-1185	10	35	established	establish	VERB
iogr-1185	10	36	,	,	PUNCT
iogr-1185	10	37	and	and	CCONJ
iogr-1185	10	38	the	the	DET
iogr-1185	10	39	principles	principle	NOUN
iogr-1185	10	40	and	and	CCONJ
iogr-1185	10	41	methods	method	NOUN
iogr-1185	10	42	for	for	ADP
iogr-1185	10	43	designing	design	VERB
iogr-1185	10	44	the	the	DET
iogr-1185	10	45	flowback	flowback	NOUN
iogr-1185	10	46	scheme	scheme	NOUN
iogr-1185	10	47	were	be	AUX
iogr-1185	10	48	determined	determine	VERB
iogr-1185	10	49	.	.	PUNCT
iogr-1185	11	1	the	the	DET
iogr-1185	11	2	work	work	NOUN
iogr-1185	11	3	considered	consider	VERB
iogr-1185	11	4	actual	actual	ADJ
iogr-1185	11	5	data	datum	NOUN
iogr-1185	11	6	and	and	CCONJ
iogr-1185	11	7	information	information	NOUN
iogr-1185	11	8	on	on	ADP
iogr-1185	11	9	flowback	flowback	NOUN
iogr-1185	11	10	in	in	ADP
iogr-1185	11	11	shale	shale	NOUN
iogr-1185	11	12	gas	gas	NOUN
iogr-1185	11	13	wells	well	NOUN
iogr-1185	11	14	from	from	ADP
iogr-1185	11	15	the	the	DET
iogr-1185	11	16	available	available	ADJ
iogr-1185	11	17	literature	literature	NOUN
iogr-1185	11	18	,	,	PUNCT
iogr-1185	11	19	as	as	ADV
iogr-1185	11	20	well	well	ADV
iogr-1185	11	21	as	as	ADP
iogr-1185	11	22	our	our	PRON
iogr-1185	11	23	own	own	ADJ
iogr-1185	11	24	experiences	experience	NOUN
iogr-1185	11	25	.	.	PUNCT
iogr-1185	12	1	the	the	DET
iogr-1185	12	2	results	result	NOUN
iogr-1185	12	3	reveal	reveal	VERB
iogr-1185	12	4	how	how	SCONJ
iogr-1185	12	5	choke	choke	VERB
iogr-1185	12	6	management	management	NOUN
iogr-1185	12	7	,	,	PUNCT
iogr-1185	12	8	or	or	CCONJ
iogr-1185	12	9	flowback	flowback	NOUN
iogr-1185	12	10	strategies	strategy	NOUN
iogr-1185	12	11	,	,	PUNCT
iogr-1185	12	12	can	can	AUX
iogr-1185	12	13	impact	impact	VERB
iogr-1185	12	14	potential	potential	ADJ
iogr-1185	12	15	damage	damage	NOUN
iogr-1185	12	16	mechanisms	mechanism	NOUN
iogr-1185	12	17	in	in	ADP
iogr-1185	12	18	the	the	DET
iogr-1185	12	19	reservoir	reservoir	NOUN
iogr-1185	12	20	,	,	PUNCT
iogr-1185	12	21	completion	completion	NOUN
iogr-1185	12	22	,	,	PUNCT
iogr-1185	12	23	and	and	CCONJ
iogr-1185	12	24	wellbore	wellbore	NOUN
iogr-1185	12	25	.	.	PUNCT
iogr-1185	13	1	the	the	DET
iogr-1185	13	2	proposed	propose	VERB
iogr-1185	13	3	model	model	NOUN
iogr-1185	13	4	can	can	AUX
iogr-1185	13	5	provide	provide	VERB
iogr-1185	13	6	optimum	optimum	ADJ
iogr-1185	13	7	flowback	flowback	NOUN
iogr-1185	13	8	design	design	NOUN
iogr-1185	13	9	and	and	CCONJ
iogr-1185	13	10	therefore	therefore	ADV
iogr-1185	13	11	lead	lead	VERB
iogr-1185	13	12	to	to	ADP
iogr-1185	13	13	maximized	maximize	VERB
iogr-1185	13	14	near	near	ADJ
iogr-1185	13	15	-	-	PUNCT
iogr-1185	13	16	wellbore	wellbore	NOUN
iogr-1185	13	17	fracture	fracture	NOUN
iogr-1185	13	18	conductivity	conductivity	NOUN
iogr-1185	13	19	and	and	CCONJ
iogr-1185	13	20	maximum	maximum	ADJ
iogr-1185	13	21	-	-	ADJ
iogr-1185	13	22	attainable	attainable	ADJ
iogr-1185	13	23	conductive	conductive	ADJ
iogr-1185	13	24	length	length	NOUN
iogr-1185	13	25	in	in	ADP
iogr-1185	13	26	communication	communication	NOUN
iogr-1185	13	27	with	with	ADP
iogr-1185	13	28	the	the	DET
iogr-1185	13	29	wellbore	wellbore	NOUN
iogr-1185	13	30	.	.	PUNCT
iogr-1185	14	1	introduction	introduction	NOUN
iogr-1185	14	2	multistage	multistage	NOUN
iogr-1185	14	3	fracturing	fracturing	NOUN
iogr-1185	14	4	technology	technology	NOUN
iogr-1185	14	5	for	for	ADP
iogr-1185	14	6	horizontal	horizontal	ADJ
iogr-1185	14	7	wells	well	NOUN
iogr-1185	14	8	has	have	AUX
iogr-1185	14	9	been	be	AUX
iogr-1185	14	10	applied	apply	VERB
iogr-1185	14	11	to	to	ADP
iogr-1185	14	12	shale	shale	NOUN
iogr-1185	14	13	gas	gas	NOUN
iogr-1185	14	14	development	development	NOUN
iogr-1185	14	15	for	for	ADP
iogr-1185	14	16	many	many	ADJ
iogr-1185	14	17	years	year	NOUN
iogr-1185	14	18	and	and	CCONJ
iogr-1185	14	19	has	have	AUX
iogr-1185	14	20	achieved	achieve	VERB
iogr-1185	14	21	great	great	ADJ
iogr-1185	14	22	success	success	NOUN
iogr-1185	14	23	within	within	ADP
iogr-1185	14	24	the	the	DET
iogr-1185	14	25	history	history	NOUN
iogr-1185	14	26	of	of	ADP
iogr-1185	14	27	the	the	DET
iogr-1185	14	28	oil	oil	NOUN
iogr-1185	14	29	and	and	CCONJ
iogr-1185	14	30	gas	gas	NOUN
iogr-1185	14	31	industry	industry	NOUN
iogr-1185	14	32	.	.	PUNCT
iogr-1185	15	1	to	to	PART
iogr-1185	15	2	create	create	VERB
iogr-1185	15	3	hydraulic	hydraulic	ADJ
iogr-1185	15	4	fractures	fracture	NOUN
iogr-1185	15	5	in	in	ADP
iogr-1185	15	6	horizontal	horizontal	ADJ
iogr-1185	15	7	wells	well	NOUN
iogr-1185	15	8	,	,	PUNCT
iogr-1185	15	9	a	a	DET
iogr-1185	15	10	high	high	ADJ
iogr-1185	15	11	volume	volume	NOUN
iogr-1185	15	12	of	of	ADP
iogr-1185	15	13	fracturing	fracture	VERB
iogr-1185	15	14	fluid	fluid	NOUN
iogr-1185	15	15	,	,	PUNCT
iogr-1185	15	16	potentially	potentially	ADV
iogr-1185	15	17	including	include	VERB
iogr-1185	15	18	slick	slick	ADJ
iogr-1185	15	19	water	water	NOUN
iogr-1185	15	20	and	and	CCONJ
iogr-1185	15	21	various	various	ADJ
iogr-1185	15	22	additives	additive	NOUN
iogr-1185	15	23	,	,	PUNCT
iogr-1185	15	24	is	be	AUX
iogr-1185	15	25	injected	inject	VERB
iogr-1185	15	26	into	into	ADP
iogr-1185	15	27	the	the	DET
iogr-1185	15	28	shale	shale	NOUN
iogr-1185	15	29	formation	formation	NOUN
iogr-1185	15	30	,	,	PUNCT
iogr-1185	15	31	along	along	ADP
iogr-1185	15	32	with	with	ADP
iogr-1185	15	33	proppant	proppant	NOUN
iogr-1185	15	34	.	.	PUNCT
iogr-1185	16	1	the	the	DET
iogr-1185	16	2	oil	oil	NOUN
iogr-1185	16	3	industry	industry	NOUN
iogr-1185	16	4	has	have	AUX
iogr-1185	16	5	developed	develop	VERB
iogr-1185	16	6	a	a	DET
iogr-1185	16	7	suite	suite	NOUN
iogr-1185	16	8	of	of	ADP
iogr-1185	16	9	tools	tool	NOUN
iogr-1185	16	10	or	or	CCONJ
iogr-1185	16	11	models	model	NOUN
iogr-1185	16	12	to	to	PART
iogr-1185	16	13	mitigate	mitigate	VERB
iogr-1185	16	14	proppant	proppant	NOUN
iogr-1185	16	15	flowback	flowback	NOUN
iogr-1185	16	16	,	,	PUNCT
iogr-1185	16	17	including	include	VERB
iogr-1185	16	18	forced	force	VERB
iogr-1185	16	19	closure	closure	NOUN
iogr-1185	16	20	,	,	PUNCT
iogr-1185	16	21	resin	resin	NOUN
iogr-1185	16	22	-	-	PUNCT
iogr-1185	16	23	coated	coat	VERB
iogr-1185	16	24	sands	sand	NOUN
iogr-1185	16	25	,	,	PUNCT
iogr-1185	16	26	deformable	deformable	ADJ
iogr-1185	16	27	proppants	proppant	NOUN
iogr-1185	16	28	,	,	PUNCT
iogr-1185	16	29	mechanical	mechanical	ADJ
iogr-1185	16	30	screens	screen	NOUN
iogr-1185	16	31	,	,	PUNCT
iogr-1185	16	32	fracture	fracture	NOUN
iogr-1185	16	33	packs	pack	NOUN
iogr-1185	16	34	,	,	PUNCT
iogr-1185	16	35	resin	resin	NOUN
iogr-1185	16	36	injection	injection	NOUN
iogr-1185	16	37	,	,	PUNCT
iogr-1185	16	38	and	and	CCONJ
iogr-1185	16	39	surface	surface	NOUN
iogr-1185	16	40	modification	modification	NOUN
iogr-1185	16	41	agents	agent	NOUN
iogr-1185	16	42	(	(	PUNCT
iogr-1185	16	43	shor	shor	NOUN
iogr-1185	16	44	and	and	CCONJ
iogr-1185	16	45	sharma	sharma	PROPN
iogr-1185	16	46	2014	2014	NUM
iogr-1185	16	47	)	)	PUNCT
iogr-1185	16	48	.	.	PUNCT
iogr-1185	17	1	however	however	ADV
iogr-1185	17	2	,	,	PUNCT
iogr-1185	17	3	there	there	PRON
iogr-1185	17	4	are	be	VERB
iogr-1185	17	5	no	no	DET
iogr-1185	17	6	standard	standard	ADJ
iogr-1185	17	7	industry	industry	NOUN
iogr-1185	17	8	practices	practice	NOUN
iogr-1185	17	9	or	or	CCONJ
iogr-1185	17	10	recommendations	recommendation	NOUN
iogr-1185	17	11	for	for	ADP
iogr-1185	17	12	well	well	ADJ
iogr-1185	17	13	flowback	flowback	NOUN
iogr-1185	17	14	to	to	PART
iogr-1185	17	15	maximize	maximize	VERB
iogr-1185	17	16	well	well	ADJ
iogr-1185	17	17	productivity	productivity	NOUN
iogr-1185	17	18	and	and	CCONJ
iogr-1185	17	19	minimize	minimize	VERB
iogr-1185	17	20	proppant	proppant	NOUN
iogr-1185	17	21	flowback	flowback	NOUN
iogr-1185	17	22	.	.	PUNCT
iogr-1185	18	1	current	current	ADJ
iogr-1185	18	2	practices	practice	NOUN
iogr-1185	18	3	for	for	ADP
iogr-1185	18	4	flowback	flowback	NOUN
iogr-1185	18	5	operations	operation	NOUN
iogr-1185	18	6	are	be	AUX
iogr-1185	18	7	,	,	PUNCT
iogr-1185	18	8	in	in	ADP
iogr-1185	18	9	general	general	ADJ
iogr-1185	18	10	,	,	PUNCT
iogr-1185	18	11	based	base	VERB
iogr-1185	18	12	on	on	ADP
iogr-1185	18	13	rules	rule	NOUN
iogr-1185	18	14	-	-	PUNCT
iogr-1185	18	15	of	of	ADP
iogr-1185	18	16	-	-	PUNCT
iogr-1185	18	17	thumb	thumb	NOUN
iogr-1185	18	18	and	and	CCONJ
iogr-1185	18	19	are	be	AUX
iogr-1185	18	20	embodied	embody	VERB
iogr-1185	18	21	in	in	ADP
iogr-1185	18	22	mailto:dongzhenzhen1120@hotmail.com	mailto:dongzhenzhen1120@hotmail.com	PROPN
iogr-1185	18	23	2	2	NUM
iogr-1185	18	24	the	the	DET
iogr-1185	18	25	confidential	confidential	ADJ
iogr-1185	18	26	flowback	flowback	NOUN
iogr-1185	18	27	operational	operational	ADJ
iogr-1185	18	28	procedures	procedure	NOUN
iogr-1185	18	29	of	of	ADP
iogr-1185	18	30	various	various	ADJ
iogr-1185	18	31	well	well	ADJ
iogr-1185	18	32	operators	operator	NOUN
iogr-1185	18	33	.	.	PUNCT
iogr-1185	19	1	such	such	ADJ
iogr-1185	19	2	rule	rule	NOUN
iogr-1185	19	3	-	-	PUNCT
iogr-1185	19	4	of	of	ADP
iogr-1185	19	5	-	-	PUNCT
iogr-1185	19	6	thumb	thumb	NOUN
iogr-1185	19	7	flowback	flowback	NOUN
iogr-1185	19	8	practices	practice	NOUN
iogr-1185	19	9	can	can	AUX
iogr-1185	19	10	cause	cause	VERB
iogr-1185	19	11	extensive	extensive	ADJ
iogr-1185	19	12	tensile	tensile	NOUN
iogr-1185	19	13	rock	rock	NOUN
iogr-1185	19	14	failure	failure	NOUN
iogr-1185	19	15	,	,	PUNCT
iogr-1185	19	16	excessive	excessive	ADJ
iogr-1185	19	17	proppant	proppant	NOUN
iogr-1185	19	18	flowback	flowback	NOUN
iogr-1185	19	19	,	,	PUNCT
iogr-1185	19	20	fines	fine	NOUN
iogr-1185	19	21	migration	migration	NOUN
iogr-1185	19	22	,	,	PUNCT
iogr-1185	19	23	and	and	CCONJ
iogr-1185	19	24	scale	scale	NOUN
iogr-1185	19	25	formation	formation	NOUN
iogr-1185	19	26	(	(	PUNCT
iogr-1185	19	27	barree	barree	NOUN
iogr-1185	19	28	and	and	CCONJ
iogr-1185	19	29	mukherjee1995	mukherjee1995	PROPN
iogr-1185	19	30	)	)	PUNCT
iogr-1185	19	31	.	.	PUNCT
iogr-1185	20	1	in	in	ADP
iogr-1185	20	2	tight	tight	ADJ
iogr-1185	20	3	sandstone	sandstone	NOUN
iogr-1185	20	4	gas	gas	NOUN
iogr-1185	20	5	reservoirs	reservoir	NOUN
iogr-1185	20	6	usually	usually	ADV
iogr-1185	20	7	produced	produce	VERB
iogr-1185	20	8	by	by	ADP
iogr-1185	20	9	single	single	ADJ
iogr-1185	20	10	-	-	PUNCT
iogr-1185	20	11	wing	wing	NOUN
iogr-1185	20	12	hydraulically	hydraulically	ADV
iogr-1185	20	13	induced	induce	VERB
iogr-1185	20	14	fractured	fractured	ADJ
iogr-1185	20	15	wells	well	NOUN
iogr-1185	20	16	,	,	PUNCT
iogr-1185	20	17	the	the	DET
iogr-1185	20	18	forced	force	VERB
iogr-1185	20	19	closure	closure	NOUN
iogr-1185	20	20	flowback	flowback	NOUN
iogr-1185	20	21	process	process	NOUN
iogr-1185	20	22	is	be	AUX
iogr-1185	20	23	used	use	VERB
iogr-1185	20	24	for	for	ADP
iogr-1185	20	25	fracturing	fracture	VERB
iogr-1185	20	26	fluid	fluid	ADJ
iogr-1185	20	27	flowback	flowback	NOUN
iogr-1185	20	28	within	within	ADP
iogr-1185	20	29	20	20	NUM
iogr-1185	20	30	to	to	PART
iogr-1185	20	31	30	30	NUM
iogr-1185	20	32	minutes	minute	NOUN
iogr-1185	20	33	after	after	ADP
iogr-1185	20	34	the	the	DET
iogr-1185	20	35	treatment	treatment	NOUN
iogr-1185	20	36	of	of	ADP
iogr-1185	20	37	the	the	DET
iogr-1185	20	38	fracturing	fracturing	NOUN
iogr-1185	20	39	pump	pump	NOUN
iogr-1185	20	40	(	(	PUNCT
iogr-1185	20	41	canon	canon	NOUN
iogr-1185	20	42	et	et	NOUN
iogr-1185	20	43	al	al	PROPN
iogr-1185	20	44	.	.	PROPN
iogr-1185	20	45	2003	2003	NUM
iogr-1185	20	46	)	)	PUNCT
iogr-1185	20	47	.	.	PUNCT
iogr-1185	21	1	while	while	SCONJ
iogr-1185	21	2	for	for	ADP
iogr-1185	21	3	shale	shale	NOUN
iogr-1185	21	4	gas	gas	NOUN
iogr-1185	21	5	wells	well	NOUN
iogr-1185	21	6	,	,	PUNCT
iogr-1185	21	7	most	most	ADJ
iogr-1185	21	8	multistage	multistage	NOUN
iogr-1185	21	9	fracturing	fracture	VERB
iogr-1185	21	10	horizontal	horizontal	ADJ
iogr-1185	21	11	wells	well	NOUN
iogr-1185	21	12	undergo	undergo	VERB
iogr-1185	21	13	more	more	ADJ
iogr-1185	21	14	than	than	ADP
iogr-1185	21	15	3	3	NUM
iogr-1185	21	16	days	day	NOUN
iogr-1185	21	17	of	of	ADP
iogr-1185	21	18	soaking	soaking	NOUN
iogr-1185	21	19	,	,	PUNCT
iogr-1185	21	20	coiled	coil	VERB
iogr-1185	21	21	tubing	tubing	NOUN
iogr-1185	21	22	is	be	AUX
iogr-1185	21	23	used	use	VERB
iogr-1185	21	24	to	to	PART
iogr-1185	21	25	drill	drill	VERB
iogr-1185	21	26	and	and	CCONJ
iogr-1185	21	27	grind	grind	VERB
iogr-1185	21	28	the	the	DET
iogr-1185	21	29	bridge	bridge	NOUN
iogr-1185	21	30	plug	plug	NOUN
iogr-1185	21	31	of	of	ADP
iogr-1185	21	32	the	the	DET
iogr-1185	21	33	wellbore	wellbore	NOUN
iogr-1185	21	34	,	,	PUNCT
iogr-1185	21	35	and	and	CCONJ
iogr-1185	21	36	then	then	ADV
iogr-1185	21	37	multistage	multistage	VERB
iogr-1185	21	38	mixed	mixed	ADJ
iogr-1185	21	39	flowback	flowback	NOUN
iogr-1185	21	40	testing	testing	NOUN
iogr-1185	21	41	is	be	AUX
iogr-1185	21	42	carried	carry	VERB
iogr-1185	21	43	out	out	ADP
iogr-1185	21	44	.	.	PUNCT
iogr-1185	22	1	fracturing	fracture	VERB
iogr-1185	22	2	fluid	fluid	ADJ
iogr-1185	22	3	loss	loss	NOUN
iogr-1185	22	4	,	,	PUNCT
iogr-1185	22	5	microfracture	microfracture	ADJ
iogr-1185	22	6	communication	communication	NOUN
iogr-1185	22	7	,	,	PUNCT
iogr-1185	22	8	and	and	CCONJ
iogr-1185	22	9	shale	shale	NOUN
iogr-1185	22	10	immersion	immersion	NOUN
iogr-1185	22	11	in	in	ADP
iogr-1185	22	12	artificial	artificial	ADJ
iogr-1185	22	13	fractures	fracture	NOUN
iogr-1185	22	14	during	during	ADP
iogr-1185	22	15	soak	soak	NOUN
iogr-1185	22	16	affect	affect	VERB
iogr-1185	22	17	reservoir	reservoir	NOUN
iogr-1185	22	18	properties	property	NOUN
iogr-1185	22	19	near	near	ADP
iogr-1185	22	20	the	the	DET
iogr-1185	22	21	wellbore	wellbore	NOUN
iogr-1185	22	22	and	and	CCONJ
iogr-1185	22	23	then	then	ADV
iogr-1185	22	24	affect	affect	VERB
iogr-1185	22	25	gas	gas	NOUN
iogr-1185	22	26	well	well	NOUN
iogr-1185	22	27	productivity	productivity	NOUN
iogr-1185	22	28	.	.	PUNCT
iogr-1185	23	1	according	accord	VERB
iogr-1185	23	2	to	to	ADP
iogr-1185	23	3	the	the	DET
iogr-1185	23	4	fracturing	fracturing	NOUN
iogr-1185	23	5	technology	technology	NOUN
iogr-1185	23	6	,	,	PUNCT
iogr-1185	23	7	string	string	NOUN
iogr-1185	23	8	characteristics	characteristic	NOUN
iogr-1185	23	9	and	and	CCONJ
iogr-1185	23	10	formation	formation	NOUN
iogr-1185	23	11	,	,	PUNCT
iogr-1185	23	12	the	the	DET
iogr-1185	23	13	flowback	flowback	NOUN
iogr-1185	23	14	process	process	NOUN
iogr-1185	23	15	of	of	ADP
iogr-1185	23	16	shale	shale	NOUN
iogr-1185	23	17	gas	gas	NOUN
iogr-1185	23	18	wells	well	NOUN
iogr-1185	23	19	usually	usually	ADV
iogr-1185	23	20	goes	go	VERB
iogr-1185	23	21	through	through	ADP
iogr-1185	23	22	three	three	NUM
iogr-1185	23	23	stages	stage	NOUN
iogr-1185	23	24	:	:	PUNCT
iogr-1185	23	25	closed	closed	ADJ
iogr-1185	23	26	control	control	NOUN
iogr-1185	23	27	,	,	PUNCT
iogr-1185	23	28	maximum	maximum	ADJ
iogr-1185	23	29	production	production	NOUN
iogr-1185	23	30	,	,	PUNCT
iogr-1185	23	31	and	and	CCONJ
iogr-1185	23	32	stable	stable	ADJ
iogr-1185	23	33	production	production	NOUN
iogr-1185	23	34	.	.	PUNCT
iogr-1185	24	1	according	accord	VERB
iogr-1185	24	2	to	to	ADP
iogr-1185	24	3	our	our	PRON
iogr-1185	24	4	experience	experience	NOUN
iogr-1185	24	5	,	,	PUNCT
iogr-1185	24	6	the	the	DET
iogr-1185	24	7	whole	whole	ADJ
iogr-1185	24	8	flowback	flowback	NOUN
iogr-1185	24	9	period	period	NOUN
iogr-1185	24	10	lasts	last	VERB
iogr-1185	24	11	around	around	ADP
iogr-1185	24	12	2	2	NUM
iogr-1185	24	13	weeks	week	NOUN
iogr-1185	24	14	,	,	PUNCT
iogr-1185	24	15	and	and	CCONJ
iogr-1185	24	16	flowback	flowback	NOUN
iogr-1185	24	17	rate	rate	NOUN
iogr-1185	24	18	could	could	AUX
iogr-1185	24	19	be	be	AUX
iogr-1185	24	20	up	up	ADV
iogr-1185	24	21	to	to	PART
iogr-1185	24	22	30	30	NUM
iogr-1185	24	23	%	%	NOUN
iogr-1185	24	24	to	to	PART
iogr-1185	24	25	40	40	NUM
iogr-1185	24	26	%	%	NOUN
iogr-1185	24	27	.	.	PUNCT
iogr-1185	25	1	thus	thus	ADV
iogr-1185	25	2	,	,	PUNCT
iogr-1185	25	3	unlike	unlike	ADP
iogr-1185	25	4	tight	tight	ADJ
iogr-1185	25	5	gas	gas	NOUN
iogr-1185	25	6	wells	well	NOUN
iogr-1185	25	7	,	,	PUNCT
iogr-1185	25	8	procedure	procedure	NOUN
iogr-1185	25	9	and	and	CCONJ
iogr-1185	25	10	time	time	NOUN
iogr-1185	25	11	for	for	ADP
iogr-1185	25	12	flowback	flowback	NOUN
iogr-1185	25	13	operations	operation	NOUN
iogr-1185	25	14	are	be	AUX
iogr-1185	25	15	dictated	dictate	VERB
iogr-1185	25	16	by	by	ADP
iogr-1185	25	17	economic	economic	ADJ
iogr-1185	25	18	considerations	consideration	NOUN
iogr-1185	25	19	and	and	CCONJ
iogr-1185	25	20	reservoir	reservoir	NOUN
iogr-1185	25	21	properties	property	NOUN
iogr-1185	25	22	for	for	ADP
iogr-1185	25	23	shale	shale	NOUN
iogr-1185	25	24	gas	gas	NOUN
iogr-1185	25	25	wells	well	NOUN
iogr-1185	25	26	.	.	PUNCT
iogr-1185	26	1	sometimes	sometimes	ADV
iogr-1185	26	2	,	,	PUNCT
iogr-1185	26	3	it	it	PRON
iogr-1185	26	4	is	be	AUX
iogr-1185	26	5	desirable	desirable	ADJ
iogr-1185	26	6	to	to	PART
iogr-1185	26	7	conduct	conduct	VERB
iogr-1185	26	8	flowback	flowback	NOUN
iogr-1185	26	9	operations	operation	NOUN
iogr-1185	26	10	immediately	immediately	ADV
iogr-1185	26	11	after	after	ADP
iogr-1185	26	12	the	the	DET
iogr-1185	26	13	fracturing	fracturing	NOUN
iogr-1185	26	14	treatment	treatment	NOUN
iogr-1185	26	15	so	so	SCONJ
iogr-1185	26	16	that	that	SCONJ
iogr-1185	26	17	the	the	DET
iogr-1185	26	18	well	well	NOUN
iogr-1185	26	19	can	can	AUX
iogr-1185	26	20	benefit	benefit	VERB
iogr-1185	26	21	from	from	ADP
iogr-1185	26	22	nondissipated	nondissipate	VERB
iogr-1185	26	23	reservoir	reservoir	NOUN
iogr-1185	26	24	pressure	pressure	NOUN
iogr-1185	26	25	.	.	PUNCT
iogr-1185	27	1	there	there	PRON
iogr-1185	27	2	are	be	VERB
iogr-1185	27	3	also	also	ADV
iogr-1185	27	4	reservoirs	reservoir	NOUN
iogr-1185	27	5	where	where	SCONJ
iogr-1185	27	6	wells	well	NOUN
iogr-1185	27	7	show	show	VERB
iogr-1185	27	8	better	well	ADJ
iogr-1185	27	9	production	production	NOUN
iogr-1185	27	10	performance	performance	NOUN
iogr-1185	27	11	after	after	ADP
iogr-1185	27	12	“	"	PUNCT
iogr-1185	27	13	seasoning	season	VERB
iogr-1185	27	14	,	,	PUNCT
iogr-1185	27	15	”	"	PUNCT
iogr-1185	27	16	when	when	SCONJ
iogr-1185	27	17	fracturing	fracturing	NOUN
iogr-1185	27	18	fluid	fluid	NOUN
iogr-1185	27	19	is	be	AUX
iogr-1185	27	20	allowed	allow	VERB
iogr-1185	27	21	to	to	PART
iogr-1185	27	22	dissipate	dissipate	VERB
iogr-1185	27	23	in	in	ADP
iogr-1185	27	24	the	the	DET
iogr-1185	27	25	formation	formation	NOUN
iogr-1185	27	26	for	for	ADP
iogr-1185	27	27	several	several	ADJ
iogr-1185	27	28	weeks	week	NOUN
iogr-1185	27	29	before	before	ADP
iogr-1185	27	30	initiating	initiate	VERB
iogr-1185	27	31	flowback	flowback	NOUN
iogr-1185	27	32	procedures	procedure	NOUN
iogr-1185	27	33	.	.	PUNCT
iogr-1185	28	1	in	in	ADP
iogr-1185	28	2	all	all	DET
iogr-1185	28	3	cases	case	NOUN
iogr-1185	28	4	after	after	SCONJ
iogr-1185	28	5	the	the	DET
iogr-1185	28	6	flowback	flowback	NOUN
iogr-1185	28	7	is	be	AUX
iogr-1185	28	8	initiated	initiate	VERB
iogr-1185	28	9	,	,	PUNCT
iogr-1185	28	10	it	it	PRON
iogr-1185	28	11	is	be	AUX
iogr-1185	28	12	desirable	desirable	ADJ
iogr-1185	28	13	to	to	PART
iogr-1185	28	14	flow	flow	VERB
iogr-1185	28	15	the	the	DET
iogr-1185	28	16	well	well	NOUN
iogr-1185	28	17	back	back	ADV
iogr-1185	28	18	at	at	ADP
iogr-1185	28	19	the	the	DET
iogr-1185	28	20	maximum	maximum	ADJ
iogr-1185	28	21	technically	technically	ADV
iogr-1185	28	22	and	and	CCONJ
iogr-1185	28	23	operationally	operationally	ADV
iogr-1185	28	24	allowable	allowable	ADJ
iogr-1185	28	25	rate	rate	NOUN
iogr-1185	28	26	so	so	SCONJ
iogr-1185	28	27	that	that	SCONJ
iogr-1185	28	28	the	the	DET
iogr-1185	28	29	well	well	NOUN
iogr-1185	28	30	can	can	AUX
iogr-1185	28	31	be	be	AUX
iogr-1185	28	32	put	put	VERB
iogr-1185	28	33	into	into	ADP
iogr-1185	28	34	production	production	NOUN
iogr-1185	28	35	quickly	quickly	ADV
iogr-1185	28	36	.	.	PUNCT
iogr-1185	29	1	at	at	ADP
iogr-1185	29	2	the	the	DET
iogr-1185	29	3	same	same	ADJ
iogr-1185	29	4	time	time	NOUN
iogr-1185	29	5	,	,	PUNCT
iogr-1185	29	6	the	the	DET
iogr-1185	29	7	flowback	flowback	NOUN
iogr-1185	29	8	rate	rate	NOUN
iogr-1185	29	9	should	should	AUX
iogr-1185	29	10	not	not	PART
iogr-1185	29	11	exceed	exceed	VERB
iogr-1185	29	12	certain	certain	ADJ
iogr-1185	29	13	limits	limit	NOUN
iogr-1185	29	14	defined	define	VERB
iogr-1185	29	15	by	by	ADP
iogr-1185	29	16	the	the	DET
iogr-1185	29	17	formation	formation	NOUN
iogr-1185	29	18	and	and	CCONJ
iogr-1185	29	19	type	type	NOUN
iogr-1185	29	20	of	of	ADP
iogr-1185	29	21	injected	inject	VERB
iogr-1185	29	22	materials	material	NOUN
iogr-1185	29	23	,	,	PUNCT
iogr-1185	29	24	as	as	SCONJ
iogr-1185	29	25	exceeding	exceed	VERB
iogr-1185	29	26	these	these	DET
iogr-1185	29	27	limits	limit	NOUN
iogr-1185	29	28	may	may	AUX
iogr-1185	29	29	result	result	VERB
iogr-1185	29	30	in	in	ADP
iogr-1185	29	31	excessive	excessive	ADJ
iogr-1185	29	32	flowback	flowback	NOUN
iogr-1185	29	33	of	of	ADP
iogr-1185	29	34	propping	prop	VERB
iogr-1185	29	35	material	material	NOUN
iogr-1185	29	36	,	,	PUNCT
iogr-1185	29	37	formation	formation	NOUN
iogr-1185	29	38	destabilization	destabilization	NOUN
iogr-1185	29	39	,	,	PUNCT
iogr-1185	29	40	and	and	CCONJ
iogr-1185	29	41	,	,	PUNCT
iogr-1185	29	42	as	as	ADP
iogr-1185	29	43	a	a	DET
iogr-1185	29	44	result	result	NOUN
iogr-1185	29	45	,	,	PUNCT
iogr-1185	29	46	poorer	poorer	ADV
iogr-1185	29	47	well	well	ADJ
iogr-1185	29	48	production	production	NOUN
iogr-1185	29	49	performance	performance	NOUN
iogr-1185	29	50	.	.	PUNCT
iogr-1185	30	1	thus	thus	ADV
iogr-1185	30	2	,	,	PUNCT
iogr-1185	30	3	the	the	DET
iogr-1185	30	4	optimization	optimization	NOUN
iogr-1185	30	5	of	of	ADP
iogr-1185	30	6	fracturing	fracture	VERB
iogr-1185	30	7	fluid	fluid	NOUN
iogr-1185	30	8	flowback	flowback	NOUN
iogr-1185	30	9	strategy	strategy	NOUN
iogr-1185	30	10	is	be	AUX
iogr-1185	30	11	mainly	mainly	ADV
iogr-1185	30	12	embodied	embody	VERB
iogr-1185	30	13	in	in	ADP
iogr-1185	30	14	optimizing	optimize	VERB
iogr-1185	30	15	flowback	flowback	NOUN
iogr-1185	30	16	timing	timing	NOUN
iogr-1185	30	17	and	and	CCONJ
iogr-1185	30	18	flowback	flowback	NOUN
iogr-1185	30	19	rate	rate	NOUN
iogr-1185	30	20	.	.	PUNCT
iogr-1185	31	1	early	early	ADJ
iogr-1185	31	2	modeling	modeling	NOUN
iogr-1185	31	3	work	work	NOUN
iogr-1185	31	4	to	to	PART
iogr-1185	31	5	understand	understand	VERB
iogr-1185	31	6	proppant	proppant	NOUN
iogr-1185	31	7	transport	transport	NOUN
iogr-1185	31	8	behavior	behavior	NOUN
iogr-1185	31	9	was	be	AUX
iogr-1185	31	10	based	base	VERB
iogr-1185	31	11	on	on	ADP
iogr-1185	31	12	fluid	fluid	ADJ
iogr-1185	31	13	flow	flow	NOUN
iogr-1185	31	14	velocity	velocity	NOUN
iogr-1185	31	15	,	,	PUNCT
iogr-1185	31	16	proppant	proppant	NOUN
iogr-1185	31	17	transport	transport	NOUN
iogr-1185	31	18	,	,	PUNCT
iogr-1185	31	19	and	and	CCONJ
iogr-1185	31	20	settling	settle	VERB
iogr-1185	31	21	velocity	velocity	NOUN
iogr-1185	31	22	predicted	predict	VERB
iogr-1185	31	23	by	by	ADP
iogr-1185	31	24	broad	broad	ADJ
iogr-1185	31	25	correlations	correlation	NOUN
iogr-1185	31	26	(	(	PUNCT
iogr-1185	31	27	bratli	bratli	NOUN
iogr-1185	31	28	and	and	CCONJ
iogr-1185	31	29	risnes	risne	NOUN
iogr-1185	31	30	1981	1981	NUM
iogr-1185	31	31	)	)	PUNCT
iogr-1185	31	32	.	.	PUNCT
iogr-1185	32	1	later	later	ADV
iogr-1185	32	2	work	work	NOUN
iogr-1185	32	3	(	(	PUNCT
iogr-1185	32	4	robinson	robinson	PROPN
iogr-1185	32	5	et	et	PROPN
iogr-1185	32	6	al	al	PROPN
iogr-1185	32	7	.	.	PROPN
iogr-1185	32	8	1988	1988	NUM
iogr-1185	32	9	;	;	PUNCT
iogr-1185	32	10	ely	ely	ADV
iogr-1185	32	11	et	et	PROPN
iogr-1185	32	12	al	al	PROPN
iogr-1185	32	13	.	.	PROPN
iogr-1185	32	14	1990	1990	NUM
iogr-1185	32	15	;	;	PUNCT
iogr-1185	32	16	biezen	biezen	NOUN
iogr-1185	32	17	et	et	PROPN
iogr-1185	32	18	al	al	PROPN
iogr-1185	32	19	.	.	PROPN
iogr-1185	32	20	1994	1994	NUM
iogr-1185	32	21	)	)	PUNCT
iogr-1185	32	22	used	use	VERB
iogr-1185	32	23	probabilistic	probabilistic	ADJ
iogr-1185	32	24	methods	method	NOUN
iogr-1185	32	25	to	to	PART
iogr-1185	32	26	calculate	calculate	VERB
iogr-1185	32	27	two	two	NUM
iogr-1185	32	28	-	-	PUNCT
iogr-1185	32	29	dimensional	dimensional	ADJ
iogr-1185	32	30	(	(	PUNCT
iogr-1185	32	31	2d	2d	NOUN
iogr-1185	32	32	)	)	PUNCT
iogr-1185	32	33	grid	grid	NOUN
iogr-1185	32	34	block	block	NOUN
iogr-1185	32	35	failure	failure	NOUN
iogr-1185	32	36	of	of	ADP
iogr-1185	32	37	fracture	fracture	ADJ
iogr-1185	32	38	proppant	proppant	NOUN
iogr-1185	32	39	packs	pack	NOUN
iogr-1185	32	40	.	.	PUNCT
iogr-1185	33	1	a	a	DET
iogr-1185	33	2	critical	critical	ADJ
iogr-1185	33	3	flow	flow	NOUN
iogr-1185	33	4	rate	rate	NOUN
iogr-1185	33	5	depended	depend	VERB
iogr-1185	33	6	on	on	ADP
iogr-1185	33	7	proppant	proppant	ADJ
iogr-1185	33	8	size	size	NOUN
iogr-1185	33	9	,	,	PUNCT
iogr-1185	33	10	and	and	CCONJ
iogr-1185	33	11	closure	closure	NOUN
iogr-1185	33	12	stress	stress	NOUN
iogr-1185	33	13	was	be	AUX
iogr-1185	33	14	the	the	DET
iogr-1185	33	15	key	key	ADJ
iogr-1185	33	16	cause	cause	NOUN
iogr-1185	33	17	of	of	ADP
iogr-1185	33	18	catastrophic	catastrophic	ADJ
iogr-1185	33	19	pack	pack	NOUN
iogr-1185	33	20	failure	failure	NOUN
iogr-1185	33	21	.	.	PUNCT
iogr-1185	34	1	shortly	shortly	ADV
iogr-1185	34	2	after	after	ADV
iogr-1185	34	3	,	,	PUNCT
iogr-1185	34	4	a	a	DET
iogr-1185	34	5	different	different	ADJ
iogr-1185	34	6	approach	approach	NOUN
iogr-1185	34	7	based	base	VERB
iogr-1185	34	8	on	on	ADP
iogr-1185	34	9	novotny	novotny	PROPN
iogr-1185	34	10	’s	’s	PART
iogr-1185	34	11	work	work	NOUN
iogr-1185	34	12	was	be	AUX
iogr-1185	34	13	introduced	introduce	VERB
iogr-1185	34	14	that	that	PRON
iogr-1185	34	15	described	describe	VERB
iogr-1185	34	16	the	the	DET
iogr-1185	34	17	movement	movement	NOUN
iogr-1185	34	18	of	of	ADP
iogr-1185	34	19	individual	individual	ADJ
iogr-1185	34	20	proppant	proppant	NOUN
iogr-1185	34	21	grains	grain	NOUN
iogr-1185	34	22	.	.	PUNCT
iogr-1185	35	1	rather	rather	ADV
iogr-1185	35	2	than	than	ADP
iogr-1185	35	3	directly	directly	ADV
iogr-1185	35	4	modeling	model	VERB
iogr-1185	35	5	the	the	DET
iogr-1185	35	6	effects	effect	NOUN
iogr-1185	35	7	of	of	ADP
iogr-1185	35	8	fluid	fluid	NOUN
iogr-1185	35	9	,	,	PUNCT
iogr-1185	35	10	these	these	DET
iogr-1185	35	11	studies	study	NOUN
iogr-1185	35	12	(	(	PUNCT
iogr-1185	35	13	asgian	asgian	PROPN
iogr-1185	35	14	et	et	PROPN
iogr-1185	35	15	al	al	PROPN
iogr-1185	35	16	.	.	PROPN
iogr-1185	35	17	1995	1995	NUM
iogr-1185	35	18	;	;	PUNCT
iogr-1185	35	19	gidley	gidley	NOUN
iogr-1185	35	20	et	et	PROPN
iogr-1185	35	21	al	al	PROPN
iogr-1185	35	22	.	.	PROPN
iogr-1185	35	23	1995	1995	NUM
iogr-1185	35	24	;	;	PUNCT
iogr-1185	35	25	andrew	andrew	PROPN
iogr-1185	35	26	and	and	CCONJ
iogr-1185	35	27	kjorholt	kjorholt	PROPN
iogr-1185	35	28	1998	1998	NUM
iogr-1185	35	29	;	;	PUNCT
iogr-1185	35	30	parker	parker	PROPN
iogr-1185	35	31	et	et	PROPN
iogr-1185	35	32	al	al	PROPN
iogr-1185	35	33	.	.	PROPN
iogr-1185	35	34	1999	1999	NUM
iogr-1185	35	35	;	;	PUNCT
iogr-1185	35	36	crafton	crafton	PROPN
iogr-1185	35	37	2010	2010	NUM
iogr-1185	35	38	;	;	PUNCT
iogr-1185	35	39	wang	wang	PROPN
iogr-1185	35	40	et	et	PROPN
iogr-1185	35	41	al	al	PROPN
iogr-1185	35	42	.	.	PROPN
iogr-1185	35	43	2020	2020	NUM
iogr-1185	35	44	)	)	PUNCT
iogr-1185	35	45	added	add	VERB
iogr-1185	35	46	point	point	NOUN
iogr-1185	35	47	-	-	PUNCT
iogr-1185	35	48	drag	drag	NOUN
iogr-1185	35	49	forces	force	NOUN
iogr-1185	35	50	to	to	ADP
iogr-1185	35	51	grains	grain	NOUN
iogr-1185	35	52	to	to	PART
iogr-1185	35	53	calculate	calculate	VERB
iogr-1185	35	54	the	the	DET
iogr-1185	35	55	viscous	viscous	ADJ
iogr-1185	35	56	effect	effect	NOUN
iogr-1185	35	57	of	of	ADP
iogr-1185	35	58	fluid	fluid	NOUN
iogr-1185	35	59	.	.	PUNCT
iogr-1185	36	1	now	now	ADV
iogr-1185	36	2	,	,	PUNCT
iogr-1185	36	3	a	a	DET
iogr-1185	36	4	fluid	fluid	NOUN
iogr-1185	36	5	-	-	PUNCT
iogr-1185	36	6	solid	solid	ADJ
iogr-1185	36	7	coupling	couple	VERB
iogr-1185	36	8	numerical	numerical	PROPN
iogr-1185	36	9	model	model	PROPN
iogr-1185	36	10	corresponding	correspond	VERB
iogr-1185	36	11	to	to	ADP
iogr-1185	36	12	fracture	fracture	NOUN
iogr-1185	36	13	closure	closure	NOUN
iogr-1185	36	14	has	have	AUX
iogr-1185	36	15	been	be	AUX
iogr-1185	36	16	established	establish	VERB
iogr-1185	36	17	and	and	CCONJ
iogr-1185	36	18	solved	solve	VERB
iogr-1185	36	19	with	with	ADP
iogr-1185	36	20	the	the	DET
iogr-1185	36	21	finite	finite	ADJ
iogr-1185	36	22	-	-	ADJ
iogr-1185	36	23	element	element	ADJ
iogr-1185	36	24	method	method	NOUN
iogr-1185	36	25	(	(	PUNCT
iogr-1185	36	26	fem	fem	PROPN
iogr-1185	36	27	)	)	PUNCT
iogr-1185	36	28	.	.	PUNCT
iogr-1185	37	1	this	this	DET
iogr-1185	37	2	paper	paper	NOUN
iogr-1185	37	3	presents	present	VERB
iogr-1185	37	4	this	this	DET
iogr-1185	37	5	model	model	NOUN
iogr-1185	37	6	,	,	PUNCT
iogr-1185	37	7	along	along	ADP
iogr-1185	37	8	with	with	ADP
iogr-1185	37	9	a	a	DET
iogr-1185	37	10	coupled	couple	VERB
iogr-1185	37	11	proppant	proppant	NOUN
iogr-1185	37	12	transport	transport	NOUN
iogr-1185	37	13	model	model	NOUN
iogr-1185	37	14	to	to	PART
iogr-1185	37	15	investigate	investigate	VERB
iogr-1185	37	16	the	the	DET
iogr-1185	37	17	stability	stability	NOUN
iogr-1185	37	18	of	of	ADP
iogr-1185	37	19	proppant	proppant	NOUN
iogr-1185	37	20	packs	pack	NOUN
iogr-1185	37	21	,	,	PUNCT
iogr-1185	37	22	and	and	CCONJ
iogr-1185	37	23	makes	make	VERB
iogr-1185	37	24	recommendations	recommendation	NOUN
iogr-1185	37	25	on	on	ADP
iogr-1185	37	26	flowback	flowback	NOUN
iogr-1185	37	27	procedures	procedure	NOUN
iogr-1185	37	28	.	.	PUNCT
iogr-1185	38	1	flowback	flowback	NOUN
iogr-1185	38	2	mechanism	mechanism	NOUN
iogr-1185	38	3	model	model	NOUN
iogr-1185	38	4	the	the	DET
iogr-1185	38	5	flowback	flowback	NOUN
iogr-1185	38	6	model	model	NOUN
iogr-1185	38	7	is	be	AUX
iogr-1185	38	8	a	a	DET
iogr-1185	38	9	system	system	NOUN
iogr-1185	38	10	of	of	ADP
iogr-1185	38	11	mathematical	mathematical	ADJ
iogr-1185	38	12	equations	equation	NOUN
iogr-1185	38	13	that	that	PRON
iogr-1185	38	14	characterize	characterize	VERB
iogr-1185	38	15	the	the	DET
iogr-1185	38	16	pressure	pressure	NOUN
iogr-1185	38	17	distributions	distribution	NOUN
iogr-1185	38	18	and	and	CCONJ
iogr-1185	38	19	fluid	fluid	ADJ
iogr-1185	38	20	flow	flow	NOUN
iogr-1185	38	21	in	in	ADP
iogr-1185	38	22	hydraulically	hydraulically	ADV
iogr-1185	38	23	fractured	fractured	ADJ
iogr-1185	38	24	reservoir	reservoir	NOUN
iogr-1185	38	25	rock	rock	NOUN
iogr-1185	38	26	and	and	CCONJ
iogr-1185	38	27	well	well	ADV
iogr-1185	38	28	piping	piping	NOUN
iogr-1185	38	29	over	over	ADP
iogr-1185	38	30	time	time	NOUN
iogr-1185	38	31	as	as	ADP
iogr-1185	38	32	a	a	DET
iogr-1185	38	33	function	function	NOUN
iogr-1185	38	34	of	of	ADP
iogr-1185	38	35	wellhead	wellhead	NOUN
iogr-1185	38	36	pressure	pressure	NOUN
iogr-1185	38	37	or	or	CCONJ
iogr-1185	38	38	choke	choke	VERB
iogr-1185	38	39	size	size	NOUN
iogr-1185	38	40	.	.	PUNCT
iogr-1185	39	1	the	the	DET
iogr-1185	39	2	mathematical	mathematical	ADJ
iogr-1185	39	3	model	model	NOUN
iogr-1185	39	4	of	of	ADP
iogr-1185	39	5	reservoir	reservoir	NOUN
iogr-1185	39	6	fluid	fluid	NOUN
iogr-1185	39	7	flow	flow	NOUN
iogr-1185	39	8	showing	show	VERB
iogr-1185	39	9	fracturing	fracturing	NOUN
iogr-1185	39	10	fluid	fluid	NOUN
iogr-1185	39	11	flowback	flowback	NOUN
iogr-1185	39	12	is	be	AUX
iogr-1185	39	13	the	the	DET
iogr-1185	39	14	same	same	ADJ
iogr-1185	39	15	as	as	ADP
iogr-1185	39	16	the	the	DET
iogr-1185	39	17	model	model	NOUN
iogr-1185	39	18	showing	show	VERB
iogr-1185	39	19	fracturing	fracture	VERB
iogr-1185	39	20	fluid	fluid	ADJ
iogr-1185	39	21	injection	injection	NOUN
iogr-1185	39	22	.	.	PUNCT
iogr-1185	40	1	the	the	DET
iogr-1185	40	2	proppant	proppant	ADJ
iogr-1185	40	3	particles	particle	NOUN
iogr-1185	40	4	suspended	suspend	VERB
iogr-1185	40	5	in	in	ADP
iogr-1185	40	6	the	the	DET
iogr-1185	40	7	fracturing	fracturing	NOUN
iogr-1185	40	8	fluid	fluid	NOUN
iogr-1185	40	9	enter	enter	VERB
iogr-1185	40	10	the	the	DET
iogr-1185	40	11	hydraulic	hydraulic	ADJ
iogr-1185	40	12	fracture	fracture	NOUN
iogr-1185	40	13	system	system	NOUN
iogr-1185	40	14	during	during	ADP
iogr-1185	40	15	the	the	DET
iogr-1185	40	16	course	course	NOUN
iogr-1185	40	17	of	of	ADP
iogr-1185	40	18	fracturing	fracture	VERB
iogr-1185	40	19	fluid	fluid	ADJ
iogr-1185	40	20	injection	injection	NOUN
iogr-1185	40	21	,	,	PUNCT
iogr-1185	40	22	but	but	CCONJ
iogr-1185	40	23	they	they	PRON
iogr-1185	40	24	can	can	AUX
iogr-1185	40	25	not	not	PART
iogr-1185	40	26	enter	enter	VERB
iogr-1185	40	27	the	the	DET
iogr-1185	40	28	matrix	matrix	NOUN
iogr-1185	40	29	pore	pore	NOUN
iogr-1185	40	30	given	give	VERB
iogr-1185	40	31	the	the	DET
iogr-1185	40	32	size	size	NOUN
iogr-1185	40	33	scale	scale	NOUN
iogr-1185	40	34	(	(	PUNCT
iogr-1185	40	35	nanoscale	nanoscale	NOUN
iogr-1185	40	36	matrix	matrix	NOUN
iogr-1185	40	37	pore	pore	NOUN
iogr-1185	40	38	versus	versus	ADP
iogr-1185	40	39	millimeter	millimeter	NOUN
iogr-1185	40	40	diameter	diameter	NOUN
iogr-1185	40	41	proppant	proppant	NOUN
iogr-1185	40	42	)	)	PUNCT
iogr-1185	40	43	.	.	PUNCT
iogr-1185	41	1	during	during	ADP
iogr-1185	41	2	flowback	flowback	NOUN
iogr-1185	41	3	,	,	PUNCT
iogr-1185	41	4	proppant	proppant	NOUN
iogr-1185	41	5	particles	particle	NOUN
iogr-1185	41	6	in	in	ADP
iogr-1185	41	7	the	the	DET
iogr-1185	41	8	hydraulic	hydraulic	ADJ
iogr-1185	41	9	fracture	fracture	NOUN
iogr-1185	41	10	system	system	NOUN
iogr-1185	41	11	flow	flow	NOUN
iogr-1185	41	12	under	under	ADP
iogr-1185	41	13	natural	natural	ADJ
iogr-1185	41	14	3	3	NUM
iogr-1185	41	15	convection	convection	NOUN
iogr-1185	41	16	,	,	PUNCT
iogr-1185	41	17	as	as	SCONJ
iogr-1185	41	18	does	do	AUX
iogr-1185	41	19	the	the	DET
iogr-1185	41	20	fluid	fluid	NOUN
iogr-1185	41	21	.	.	PUNCT
iogr-1185	42	1	if	if	SCONJ
iogr-1185	42	2	reservoir	reservoir	NOUN
iogr-1185	42	3	pressure	pressure	NOUN
iogr-1185	42	4	drops	drop	VERB
iogr-1185	42	5	,	,	PUNCT
iogr-1185	42	6	the	the	DET
iogr-1185	42	7	fluid	fluid	NOUN
iogr-1185	42	8	leaked	leak	VERB
iogr-1185	42	9	into	into	ADP
iogr-1185	42	10	the	the	DET
iogr-1185	42	11	matrix	matrix	NOUN
iogr-1185	42	12	during	during	ADP
iogr-1185	42	13	the	the	DET
iogr-1185	42	14	fracturing	fracturing	NOUN
iogr-1185	42	15	fluid	fluid	NOUN
iogr-1185	42	16	injection	injection	NOUN
iogr-1185	42	17	period	period	NOUN
iogr-1185	42	18	may	may	AUX
iogr-1185	42	19	gradually	gradually	ADV
iogr-1185	42	20	release	release	VERB
iogr-1185	42	21	into	into	ADP
iogr-1185	42	22	the	the	DET
iogr-1185	42	23	fracture	fracture	NOUN
iogr-1185	42	24	during	during	ADP
iogr-1185	42	25	the	the	DET
iogr-1185	42	26	flowback	flowback	NOUN
iogr-1185	42	27	period	period	NOUN
iogr-1185	42	28	.	.	PUNCT
iogr-1185	43	1	the	the	DET
iogr-1185	43	2	flow	flow	NOUN
iogr-1185	43	3	of	of	ADP
iogr-1185	43	4	fluid	fluid	NOUN
iogr-1185	43	5	through	through	ADP
iogr-1185	43	6	the	the	DET
iogr-1185	43	7	fracture	fracture	NOUN
iogr-1185	43	8	system	system	NOUN
iogr-1185	43	9	is	be	AUX
iogr-1185	43	10	driven	drive	VERB
iogr-1185	43	11	by	by	ADP
iogr-1185	43	12	viscous	viscous	ADJ
iogr-1185	43	13	and	and	CCONJ
iogr-1185	43	14	gravity	gravity	NOUN
iogr-1185	43	15	forces	force	NOUN
iogr-1185	43	16	,	,	PUNCT
iogr-1185	43	17	simultaneously	simultaneously	ADV
iogr-1185	43	18	carrying	carry	VERB
iogr-1185	43	19	suspended	suspend	VERB
iogr-1185	43	20	proppant	proppant	ADJ
iogr-1185	43	21	particles	particle	NOUN
iogr-1185	43	22	.	.	PUNCT
iogr-1185	44	1	proppant	proppant	NOUN
iogr-1185	44	2	particle	particle	NOUN
iogr-1185	44	3	flow	flow	NOUN
iogr-1185	44	4	is	be	AUX
iogr-1185	44	5	propelled	propel	VERB
iogr-1185	44	6	by	by	ADP
iogr-1185	44	7	both	both	DET
iogr-1185	44	8	vertical	vertical	ADJ
iogr-1185	44	9	forces	force	NOUN
iogr-1185	44	10	,	,	PUNCT
iogr-1185	44	11	such	such	ADJ
iogr-1185	44	12	as	as	ADP
iogr-1185	44	13	gravity	gravity	NOUN
iogr-1185	44	14	and	and	CCONJ
iogr-1185	44	15	buoyancy	buoyancy	NOUN
iogr-1185	44	16	,	,	PUNCT
iogr-1185	44	17	and	and	CCONJ
iogr-1185	44	18	horizontal	horizontal	ADJ
iogr-1185	44	19	forces	force	NOUN
iogr-1185	44	20	,	,	PUNCT
iogr-1185	44	21	such	such	ADJ
iogr-1185	44	22	as	as	ADP
iogr-1185	44	23	drag	drag	NOUN
iogr-1185	44	24	,	,	PUNCT
iogr-1185	44	25	inertia	inertia	NOUN
iogr-1185	44	26	,	,	PUNCT
iogr-1185	44	27	and	and	CCONJ
iogr-1185	44	28	collision	collision	NOUN
iogr-1185	44	29	.	.	PUNCT
iogr-1185	45	1	fluid	fluid	ADJ
iogr-1185	45	2	flow	flow	NOUN
iogr-1185	45	3	in	in	ADP
iogr-1185	45	4	the	the	DET
iogr-1185	45	5	matrix	matrix	NOUN
iogr-1185	45	6	is	be	AUX
iogr-1185	45	7	propelled	propel	VERB
iogr-1185	45	8	by	by	ADP
iogr-1185	45	9	viscous	viscous	ADJ
iogr-1185	45	10	and	and	CCONJ
iogr-1185	45	11	gravity	gravity	NOUN
iogr-1185	45	12	forces	force	NOUN
iogr-1185	45	13	,	,	PUNCT
iogr-1185	45	14	and	and	CCONJ
iogr-1185	45	15	does	do	AUX
iogr-1185	45	16	not	not	PART
iogr-1185	45	17	carry	carry	VERB
iogr-1185	45	18	proppant	proppant	NOUN
iogr-1185	45	19	particles	particle	NOUN
iogr-1185	45	20	.	.	PUNCT
iogr-1185	46	1	during	during	ADP
iogr-1185	46	2	the	the	DET
iogr-1185	46	3	flowback	flowback	NOUN
iogr-1185	46	4	of	of	ADP
iogr-1185	46	5	the	the	DET
iogr-1185	46	6	fracture	fracture	NOUN
iogr-1185	46	7	fluid	fluid	NOUN
iogr-1185	46	8	,	,	PUNCT
iogr-1185	46	9	the	the	DET
iogr-1185	46	10	fluid	fluid	NOUN
iogr-1185	46	11	first	first	ADV
iogr-1185	46	12	flows	flow	NOUN
iogr-1185	46	13	to	to	ADP
iogr-1185	46	14	the	the	DET
iogr-1185	46	15	fracture	fracture	NOUN
iogr-1185	46	16	,	,	PUNCT
iogr-1185	46	17	flows	flow	VERB
iogr-1185	46	18	next	next	ADV
iogr-1185	46	19	to	to	ADP
iogr-1185	46	20	the	the	DET
iogr-1185	46	21	horizontal	horizontal	ADJ
iogr-1185	46	22	wellbore	wellbore	NOUN
iogr-1185	46	23	along	along	ADP
iogr-1185	46	24	the	the	DET
iogr-1185	46	25	fracture	fracture	NOUN
iogr-1185	46	26	,	,	PUNCT
iogr-1185	46	27	and	and	CCONJ
iogr-1185	46	28	then	then	ADV
iogr-1185	46	29	arrives	arrive	VERB
iogr-1185	46	30	at	at	ADP
iogr-1185	46	31	the	the	DET
iogr-1185	46	32	wellhead	wellhead	NOUN
iogr-1185	46	33	along	along	ADP
iogr-1185	46	34	the	the	DET
iogr-1185	46	35	wellbore	wellbore	NOUN
iogr-1185	46	36	(	(	PUNCT
iogr-1185	46	37	horizontally	horizontally	ADV
iogr-1185	46	38	and	and	CCONJ
iogr-1185	46	39	vertically	vertically	ADV
iogr-1185	46	40	)	)	PUNCT
iogr-1185	46	41	.	.	PUNCT
iogr-1185	47	1	thus	thus	ADV
iogr-1185	47	2	,	,	PUNCT
iogr-1185	47	3	to	to	PART
iogr-1185	47	4	simulate	simulate	VERB
iogr-1185	47	5	the	the	DET
iogr-1185	47	6	whole	whole	ADJ
iogr-1185	47	7	process	process	NOUN
iogr-1185	47	8	of	of	ADP
iogr-1185	47	9	fracturing	fracture	VERB
iogr-1185	47	10	fluid	fluid	NOUN
iogr-1185	47	11	flowback	flowback	NOUN
iogr-1185	47	12	,	,	PUNCT
iogr-1185	47	13	one	one	PRON
iogr-1185	47	14	should	should	AUX
iogr-1185	47	15	simulate	simulate	VERB
iogr-1185	47	16	the	the	DET
iogr-1185	47	17	flow	flow	NOUN
iogr-1185	47	18	in	in	ADP
iogr-1185	47	19	the	the	DET
iogr-1185	47	20	well	well	NOUN
iogr-1185	47	21	,	,	PUNCT
iogr-1185	47	22	as	as	ADV
iogr-1185	47	23	well	well	ADV
iogr-1185	47	24	as	as	ADP
iogr-1185	47	25	through	through	ADP
iogr-1185	47	26	the	the	DET
iogr-1185	47	27	reservoir	reservoir	NOUN
iogr-1185	47	28	and/or	and/or	CCONJ
iogr-1185	47	29	along	along	ADP
iogr-1185	47	30	the	the	DET
iogr-1185	47	31	hydraulic	hydraulic	ADJ
iogr-1185	47	32	fracture	fracture	NOUN
iogr-1185	47	33	.	.	PUNCT
iogr-1185	48	1	figure	figure	NOUN
iogr-1185	48	2	1	1	NUM
iogr-1185	48	3	illustrates	illustrate	VERB
iogr-1185	48	4	an	an	DET
iogr-1185	48	5	embodiment	embodiment	NOUN
iogr-1185	48	6	of	of	ADP
iogr-1185	48	7	the	the	DET
iogr-1185	48	8	flowback	flowback	NOUN
iogr-1185	48	9	model	model	NOUN
iogr-1185	48	10	including	include	VERB
iogr-1185	48	11	submodels	submodel	NOUN
iogr-1185	48	12	.	.	PUNCT
iogr-1185	49	1	it	it	PRON
iogr-1185	49	2	incorporates	incorporate	VERB
iogr-1185	49	3	a	a	DET
iogr-1185	49	4	horizontal	horizontal	ADJ
iogr-1185	49	5	well	well	NOUN
iogr-1185	49	6	model	model	NOUN
iogr-1185	49	7	,	,	PUNCT
iogr-1185	49	8	reservoir	reservoir	NOUN
iogr-1185	49	9	model	model	NOUN
iogr-1185	49	10	,	,	PUNCT
iogr-1185	49	11	and	and	CCONJ
iogr-1185	49	12	fracture	fracture	NOUN
iogr-1185	49	13	flow	flow	NOUN
iogr-1185	49	14	model	model	NOUN
iogr-1185	49	15	.	.	PUNCT
iogr-1185	50	1	1	1	NUM
iogr-1185	50	2	)	)	PUNCT
iogr-1185	50	3	the	the	DET
iogr-1185	50	4	horizontal	horizontal	ADJ
iogr-1185	50	5	well	well	ADJ
iogr-1185	50	6	model	model	NOUN
iogr-1185	50	7	is	be	AUX
iogr-1185	50	8	a	a	DET
iogr-1185	50	9	two	two	NUM
iogr-1185	50	10	-	-	PUNCT
iogr-1185	50	11	phase	phase	NOUN
iogr-1185	50	12	pressure	pressure	NOUN
iogr-1185	50	13	loss	loss	NOUN
iogr-1185	50	14	correlation	correlation	NOUN
iogr-1185	50	15	that	that	PRON
iogr-1185	50	16	calculates	calculate	VERB
iogr-1185	50	17	the	the	DET
iogr-1185	50	18	fracturing	fracturing	NOUN
iogr-1185	50	19	fluid	fluid	NOUN
iogr-1185	50	20	and	and	CCONJ
iogr-1185	50	21	gas	gas	NOUN
iogr-1185	50	22	flow	flow	NOUN
iogr-1185	50	23	rates	rate	NOUN
iogr-1185	50	24	in	in	ADP
iogr-1185	50	25	the	the	DET
iogr-1185	50	26	well	well	NOUN
iogr-1185	50	27	over	over	ADP
iogr-1185	50	28	time	time	NOUN
iogr-1185	50	29	as	as	ADP
iogr-1185	50	30	a	a	DET
iogr-1185	50	31	function	function	NOUN
iogr-1185	50	32	of	of	ADP
iogr-1185	50	33	the	the	DET
iogr-1185	50	34	wellhead	wellhead	NOUN
iogr-1185	50	35	pressure	pressure	NOUN
iogr-1185	50	36	.	.	PUNCT
iogr-1185	51	1	the	the	DET
iogr-1185	51	2	horizontal	horizontal	ADJ
iogr-1185	51	3	well	well	PROPN
iogr-1185	51	4	model	model	NOUN
iogr-1185	51	5	receives	receive	VERB
iogr-1185	51	6	input	input	NOUN
iogr-1185	51	7	(	(	PUNCT
iogr-1185	51	8	bottomhole	bottomhole	NOUN
iogr-1185	51	9	pressure	pressure	NOUN
iogr-1185	51	10	and	and	CCONJ
iogr-1185	51	11	fluid	fluid	ADJ
iogr-1185	51	12	velocity	velocity	NOUN
iogr-1185	51	13	)	)	PUNCT
iogr-1185	51	14	from	from	ADP
iogr-1185	51	15	a	a	DET
iogr-1185	51	16	proppant	proppant	ADJ
iogr-1185	51	17	transport	transport	NOUN
iogr-1185	51	18	model	model	NOUN
iogr-1185	51	19	and	and	CCONJ
iogr-1185	51	20	a	a	DET
iogr-1185	51	21	fluid	fluid	NOUN
iogr-1185	51	22	-	-	PUNCT
iogr-1185	51	23	solid	solid	ADJ
iogr-1185	51	24	coupling	coupling	NOUN
iogr-1185	51	25	flow	flow	NOUN
iogr-1185	51	26	model	model	NOUN
iogr-1185	51	27	.	.	PUNCT
iogr-1185	52	1	2	2	NUM
iogr-1185	52	2	)	)	PUNCT
iogr-1185	52	3	the	the	DET
iogr-1185	52	4	proppant	proppant	NOUN
iogr-1185	52	5	transport	transport	NOUN
iogr-1185	52	6	model	model	NOUN
iogr-1185	52	7	simulates	simulate	VERB
iogr-1185	52	8	the	the	DET
iogr-1185	52	9	movement	movement	NOUN
iogr-1185	52	10	of	of	ADP
iogr-1185	52	11	particles	particle	NOUN
iogr-1185	52	12	along	along	ADP
iogr-1185	52	13	the	the	DET
iogr-1185	52	14	fracture	fracture	NOUN
iogr-1185	52	15	.	.	PUNCT
iogr-1185	53	1	3	3	X
iogr-1185	53	2	)	)	PUNCT
iogr-1185	53	3	the	the	DET
iogr-1185	53	4	fluid	fluid	NOUN
iogr-1185	53	5	-	-	PUNCT
iogr-1185	53	6	solid	solid	ADJ
iogr-1185	53	7	coupling	coupling	NOUN
iogr-1185	53	8	flow	flow	NOUN
iogr-1185	53	9	model	model	NOUN
iogr-1185	53	10	incorporates	incorporate	VERB
iogr-1185	53	11	the	the	DET
iogr-1185	53	12	output	output	NOUN
iogr-1185	53	13	of	of	ADP
iogr-1185	53	14	a	a	DET
iogr-1185	53	15	fluid	fluid	ADJ
iogr-1185	53	16	-	-	PUNCT
iogr-1185	53	17	fluid	fluid	NOUN
iogr-1185	53	18	displacement	displacement	NOUN
iogr-1185	53	19	model	model	NOUN
iogr-1185	53	20	within	within	ADP
iogr-1185	53	21	the	the	DET
iogr-1185	53	22	fractures	fracture	NOUN
iogr-1185	53	23	,	,	PUNCT
iogr-1185	53	24	a	a	DET
iogr-1185	53	25	model	model	NOUN
iogr-1185	53	26	of	of	ADP
iogr-1185	53	27	the	the	DET
iogr-1185	53	28	geomechanical	geomechanical	ADJ
iogr-1185	53	29	behavior	behavior	NOUN
iogr-1185	53	30	of	of	ADP
iogr-1185	53	31	the	the	DET
iogr-1185	53	32	formation	formation	NOUN
iogr-1185	53	33	rock	rock	NOUN
iogr-1185	53	34	,	,	PUNCT
iogr-1185	53	35	and	and	CCONJ
iogr-1185	53	36	a	a	DET
iogr-1185	53	37	reservoir	reservoir	NOUN
iogr-1185	53	38	model	model	NOUN
iogr-1185	53	39	that	that	PRON
iogr-1185	53	40	models	model	VERB
iogr-1185	53	41	the	the	DET
iogr-1185	53	42	inflow	inflow	NOUN
iogr-1185	53	43	of	of	ADP
iogr-1185	53	44	fluid	fluid	NOUN
iogr-1185	53	45	from	from	ADP
iogr-1185	53	46	the	the	DET
iogr-1185	53	47	reservoir	reservoir	NOUN
iogr-1185	53	48	into	into	ADP
iogr-1185	53	49	the	the	DET
iogr-1185	53	50	fractures	fracture	NOUN
iogr-1185	53	51	.	.	PUNCT
iogr-1185	54	1			VERB
iogr-1185	54	2	the	the	DET
iogr-1185	54	3	geomechanical	geomechanical	ADJ
iogr-1185	54	4	model	model	NOUN
iogr-1185	54	5	models	model	VERB
iogr-1185	54	6	the	the	DET
iogr-1185	54	7	interaction	interaction	NOUN
iogr-1185	54	8	among	among	ADP
iogr-1185	54	9	the	the	DET
iogr-1185	54	10	stresses	stress	NOUN
iogr-1185	54	11	,	,	PUNCT
iogr-1185	54	12	pressures	pressure	NOUN
iogr-1185	54	13	,	,	PUNCT
iogr-1185	54	14	and	and	CCONJ
iogr-1185	54	15	temperatures	temperature	NOUN
iogr-1185	54	16	in	in	ADP
iogr-1185	54	17	the	the	DET
iogr-1185	54	18	reservoir	reservoir	NOUN
iogr-1185	54	19	rock	rock	NOUN
iogr-1185	54	20	and	and	CCONJ
iogr-1185	54	21	the	the	DET
iogr-1185	54	22	hydraulic	hydraulic	ADJ
iogr-1185	54	23	fracture	fracture	NOUN
iogr-1185	54	24	.	.	PUNCT
iogr-1185	55	1			VERB
iogr-1185	55	2	the	the	DET
iogr-1185	55	3	fluid	fluid	ADJ
iogr-1185	55	4	-	-	PUNCT
iogr-1185	55	5	fluid	fluid	NOUN
iogr-1185	55	6	displacement	displacement	NOUN
iogr-1185	55	7	model	model	NOUN
iogr-1185	55	8	models	model	VERB
iogr-1185	55	9	the	the	DET
iogr-1185	55	10	displacement	displacement	NOUN
iogr-1185	55	11	of	of	ADP
iogr-1185	55	12	gas	gas	NOUN
iogr-1185	55	13	by	by	ADP
iogr-1185	55	14	hydraulic	hydraulic	ADJ
iogr-1185	55	15	fracturing	fracturing	NOUN
iogr-1185	55	16	fluid	fluid	NOUN
iogr-1185	55	17	in	in	ADP
iogr-1185	55	18	the	the	DET
iogr-1185	55	19	reservoir	reservoir	NOUN
iogr-1185	55	20	rock	rock	NOUN
iogr-1185	55	21	and	and	CCONJ
iogr-1185	55	22	also	also	ADV
iogr-1185	55	23	the	the	DET
iogr-1185	55	24	displacement	displacement	NOUN
iogr-1185	55	25	of	of	ADP
iogr-1185	55	26	the	the	DET
iogr-1185	55	27	hydraulic	hydraulic	ADJ
iogr-1185	55	28	fracturing	fracturing	NOUN
iogr-1185	55	29	fluid	fluid	NOUN
iogr-1185	55	30	by	by	ADP
iogr-1185	55	31	the	the	DET
iogr-1185	55	32	resident	resident	ADJ
iogr-1185	55	33	reservoir	reservoir	NOUN
iogr-1185	55	34	fluids	fluid	NOUN
iogr-1185	55	35	.	.	PUNCT
iogr-1185	56	1			NOUN
iogr-1185	56	2	the	the	DET
iogr-1185	56	3	reservoir	reservoir	PROPN
iogr-1185	56	4	model	model	NOUN
iogr-1185	56	5	models	model	VERB
iogr-1185	56	6	the	the	DET
iogr-1185	56	7	physical	physical	ADJ
iogr-1185	56	8	space	space	NOUN
iogr-1185	56	9	of	of	ADP
iogr-1185	56	10	the	the	DET
iogr-1185	56	11	reservoir	reservoir	NOUN
iogr-1185	56	12	by	by	ADP
iogr-1185	56	13	an	an	DET
iogr-1185	56	14	array	array	NOUN
iogr-1185	56	15	of	of	ADP
iogr-1185	56	16	discrete	discrete	ADJ
iogr-1185	56	17	cells	cell	NOUN
iogr-1185	56	18	delineated	delineate	VERB
iogr-1185	56	19	by	by	ADP
iogr-1185	56	20	an	an	DET
iogr-1185	56	21	irregular	irregular	ADJ
iogr-1185	56	22	grid	grid	NOUN
iogr-1185	56	23	.	.	PUNCT
iogr-1185	57	1	due	due	ADP
iogr-1185	57	2	to	to	ADP
iogr-1185	57	3	the	the	DET
iogr-1185	57	4	high	high	ADJ
iogr-1185	57	5	conductivity	conductivity	NOUN
iogr-1185	57	6	of	of	ADP
iogr-1185	57	7	hydraulic	hydraulic	ADJ
iogr-1185	57	8	fractures	fracture	NOUN
iogr-1185	57	9	,	,	PUNCT
iogr-1185	57	10	the	the	DET
iogr-1185	57	11	flow	flow	NOUN
iogr-1185	57	12	of	of	ADP
iogr-1185	57	13	the	the	DET
iogr-1185	57	14	fracturing	fracturing	NOUN
iogr-1185	57	15	fluid	fluid	NOUN
iogr-1185	57	16	can	can	AUX
iogr-1185	57	17	be	be	AUX
iogr-1185	57	18	considered	consider	VERB
iogr-1185	57	19	darcy	darcy	PROPN
iogr-1185	57	20	’s	’s	PART
iogr-1185	57	21	flow	flow	NOUN
iogr-1185	57	22	.	.	PUNCT
iogr-1185	58	1	the	the	DET
iogr-1185	58	2	interaction	interaction	NOUN
iogr-1185	58	3	of	of	ADP
iogr-1185	58	4	the	the	DET
iogr-1185	58	5	fracturing	fracturing	NOUN
iogr-1185	58	6	fluid	fluid	NOUN
iogr-1185	58	7	and	and	CCONJ
iogr-1185	58	8	the	the	DET
iogr-1185	58	9	proppant	proppant	NOUN
iogr-1185	58	10	flow	flow	NOUN
iogr-1185	58	11	is	be	AUX
iogr-1185	58	12	coupled	couple	VERB
iogr-1185	58	13	by	by	ADP
iogr-1185	58	14	the	the	DET
iogr-1185	58	15	equivalent	equivalent	ADJ
iogr-1185	58	16	viscosity	viscosity	NOUN
iogr-1185	58	17	.	.	PUNCT
iogr-1185	59	1	figure	figure	NOUN
iogr-1185	59	2	1	1	NUM
iogr-1185	59	3	—	—	PUNCT
iogr-1185	59	4	schematic	schematic	ADJ
iogr-1185	59	5	representation	representation	NOUN
iogr-1185	59	6	of	of	ADP
iogr-1185	59	7	the	the	DET
iogr-1185	59	8	component	component	NOUN
iogr-1185	59	9	parts	part	NOUN
iogr-1185	59	10	of	of	ADP
iogr-1185	59	11	a	a	DET
iogr-1185	59	12	flowback	flowback	NOUN
iogr-1185	59	13	model	model	NOUN
iogr-1185	59	14	.	.	PUNCT
iogr-1185	60	1	mathematical	mathematical	ADJ
iogr-1185	60	2	model	model	NOUN
iogr-1185	60	3	and	and	CCONJ
iogr-1185	60	4	discretization	discretization	NOUN
iogr-1185	60	5	assumptions	assumption	NOUN
iogr-1185	60	6	.	.	PUNCT
iogr-1185	61	1	the	the	DET
iogr-1185	61	2	following	follow	VERB
iogr-1185	61	3	assumptions	assumption	NOUN
iogr-1185	61	4	were	be	AUX
iogr-1185	61	5	made	make	VERB
iogr-1185	61	6	:	:	PUNCT
iogr-1185	61	7	(	(	PUNCT
iogr-1185	61	8	1	1	X
iogr-1185	61	9	)	)	PUNCT
iogr-1185	61	10	the	the	DET
iogr-1185	61	11	flowback	flowback	NOUN
iogr-1185	61	12	model	model	NOUN
iogr-1185	61	13	comprises	comprise	VERB
iogr-1185	61	14	four	four	NUM
iogr-1185	61	15	interconnected	interconnected	ADJ
iogr-1185	61	16	domains	domain	NOUN
iogr-1185	61	17	,	,	PUNCT
iogr-1185	61	18	including	include	VERB
iogr-1185	61	19	wellhead	wellhead	NOUN
iogr-1185	61	20	,	,	PUNCT
iogr-1185	61	21	horizontal	horizontal	ADJ
iogr-1185	61	22	well	well	ADV
iogr-1185	61	23	,	,	PUNCT
iogr-1185	61	24	proppant	proppant	NOUN
iogr-1185	61	25	transport	transport	NOUN
iogr-1185	61	26	model	model	PROPN
iogr-1185	61	27	horizontal	horizontal	PROPN
iogr-1185	61	28	well	well	PROPN
iogr-1185	61	29	model	model	NOUN
iogr-1185	61	30	fluid	fluid	NOUN
iogr-1185	61	31	-	-	PUNCT
iogr-1185	61	32	solid	solid	ADJ
iogr-1185	61	33	coupling	coupling	NOUN
iogr-1185	61	34	flow	flow	NOUN
iogr-1185	61	35	model	model	NOUN
iogr-1185	61	36	geomechanical	geomechanical	ADJ
iogr-1185	61	37	model	model	NOUN
iogr-1185	61	38	fluid	fluid	ADJ
iogr-1185	61	39	-	-	PUNCT
iogr-1185	61	40	fluid	fluid	NOUN
iogr-1185	61	41	displacement	displacement	NOUN
iogr-1185	61	42	model	model	NOUN
iogr-1185	61	43	reservoir	reservoir	PROPN
iogr-1185	61	44	model	model	NOUN
iogr-1185	62	1	c	c	PROPN
iogr-1185	62	2	o	o	NOUN
iogr-1185	62	3	u	u	NOUN
iogr-1185	62	4	p	p	PROPN
iogr-1185	62	5	li	li	PROPN
iogr-1185	62	6	n	n	ADP
iogr-1185	62	7	g	g	PROPN
iogr-1185	62	8	4	4	NUM
iogr-1185	62	9	fractures	fracture	NOUN
iogr-1185	62	10	,	,	PUNCT
iogr-1185	62	11	and	and	CCONJ
iogr-1185	62	12	matrix	matrix	NOUN
iogr-1185	62	13	.	.	PUNCT
iogr-1185	63	1	(	(	PUNCT
iogr-1185	63	2	2	2	X
iogr-1185	63	3	)	)	PUNCT
iogr-1185	63	4	a	a	DET
iogr-1185	63	5	set	set	NOUN
iogr-1185	63	6	of	of	ADP
iogr-1185	63	7	fine	fine	ADJ
iogr-1185	63	8	grids	grid	NOUN
iogr-1185	63	9	with	with	ADP
iogr-1185	63	10	high	high	ADJ
iogr-1185	63	11	permeability	permeability	NOUN
iogr-1185	63	12	was	be	AUX
iogr-1185	63	13	used	use	VERB
iogr-1185	63	14	to	to	PART
iogr-1185	63	15	characterize	characterize	VERB
iogr-1185	63	16	the	the	DET
iogr-1185	63	17	primary	primary	ADJ
iogr-1185	63	18	fracture	fracture	NOUN
iogr-1185	63	19	,	,	PUNCT
iogr-1185	63	20	which	which	PRON
iogr-1185	63	21	has	have	VERB
iogr-1185	63	22	a	a	DET
iogr-1185	63	23	half	half	ADJ
iogr-1185	63	24	-	-	PUNCT
iogr-1185	63	25	length	length	NOUN
iogr-1185	63	26	(	(	PUNCT
iogr-1185	63	27	lf	lf	NOUN
iogr-1185	63	28	)	)	PUNCT
iogr-1185	63	29	,	,	PUNCT
iogr-1185	63	30	width	width	NOUN
iogr-1185	63	31	(	(	PUNCT
iogr-1185	63	32	wf	wf	PROPN
iogr-1185	63	33	)	)	PUNCT
iogr-1185	63	34	,	,	PUNCT
iogr-1185	63	35	and	and	CCONJ
iogr-1185	63	36	height	height	NOUN
iogr-1185	63	37	(	(	PUNCT
iogr-1185	63	38	hf	hf	NOUN
iogr-1185	63	39	)	)	PUNCT
iogr-1185	63	40	.	.	PUNCT
iogr-1185	64	1	(	(	PUNCT
iogr-1185	64	2	3	3	X
iogr-1185	64	3	)	)	PUNCT
iogr-1185	64	4	proppant	proppant	NOUN
iogr-1185	64	5	transport	transport	NOUN
iogr-1185	64	6	includes	include	VERB
iogr-1185	64	7	the	the	DET
iogr-1185	64	8	drag	drag	NOUN
iogr-1185	64	9	force	force	NOUN
iogr-1185	64	10	,	,	PUNCT
iogr-1185	64	11	inertia	inertia	NOUN
iogr-1185	64	12	force	force	NOUN
iogr-1185	64	13	,	,	PUNCT
iogr-1185	64	14	and	and	CCONJ
iogr-1185	64	15	collision	collision	NOUN
iogr-1185	64	16	force	force	NOUN
iogr-1185	64	17	.	.	PUNCT
iogr-1185	65	1	(	(	PUNCT
iogr-1185	65	2	4	4	X
iogr-1185	65	3	)	)	PUNCT
iogr-1185	65	4	the	the	DET
iogr-1185	65	5	proppant	proppant	ADJ
iogr-1185	65	6	settlement	settlement	NOUN
iogr-1185	65	7	and	and	CCONJ
iogr-1185	65	8	the	the	DET
iogr-1185	65	9	change	change	NOUN
iogr-1185	65	10	in	in	ADP
iogr-1185	65	11	proppant	proppant	ADJ
iogr-1185	65	12	bed	bed	NOUN
iogr-1185	65	13	height	height	NOUN
iogr-1185	65	14	occur	occur	VERB
iogr-1185	65	15	due	due	ADP
iogr-1185	65	16	to	to	ADP
iogr-1185	65	17	hydraulic	hydraulic	ADJ
iogr-1185	65	18	fracture	fracture	NOUN
iogr-1185	65	19	closure	closure	NOUN
iogr-1185	65	20	.	.	PUNCT
iogr-1185	66	1	horizontal	horizontal	ADJ
iogr-1185	66	2	well	well	ADJ
iogr-1185	66	3	flow	flow	NOUN
iogr-1185	66	4	model	model	NOUN
iogr-1185	66	5	.	.	PUNCT
iogr-1185	67	1	fluid	fluid	NOUN
iogr-1185	67	2	flowing	flow	VERB
iogr-1185	67	3	in	in	ADP
iogr-1185	67	4	a	a	DET
iogr-1185	67	5	wellbore	wellbore	NOUN
iogr-1185	67	6	will	will	AUX
iogr-1185	67	7	experience	experience	VERB
iogr-1185	67	8	pressure	pressure	NOUN
iogr-1185	67	9	loss	loss	NOUN
iogr-1185	67	10	.	.	PUNCT
iogr-1185	68	1	pressure	pressure	NOUN
iogr-1185	68	2	loss	loss	NOUN
iogr-1185	68	3	can	can	AUX
iogr-1185	68	4	be	be	AUX
iogr-1185	68	5	categorized	categorize	VERB
iogr-1185	68	6	as	as	ADP
iogr-1185	68	7	hydrostatic	hydrostatic	ADJ
iogr-1185	68	8	,	,	PUNCT
iogr-1185	68	9	frictional	frictional	ADJ
iogr-1185	68	10	,	,	PUNCT
iogr-1185	68	11	or	or	CCONJ
iogr-1185	68	12	kinetic	kinetic	NOUN
iogr-1185	68	13	.	.	PUNCT
iogr-1185	69	1	for	for	ADP
iogr-1185	69	2	wellbores	wellbore	NOUN
iogr-1185	69	3	,	,	PUNCT
iogr-1185	69	4	kinetic	kinetic	ADJ
iogr-1185	69	5	loss	loss	NOUN
iogr-1185	69	6	is	be	AUX
iogr-1185	69	7	often	often	ADV
iogr-1185	69	8	minimal	minimal	ADJ
iogr-1185	69	9	and	and	CCONJ
iogr-1185	69	10	can	can	AUX
iogr-1185	69	11	be	be	AUX
iogr-1185	69	12	ignored	ignore	VERB
iogr-1185	69	13	.	.	PUNCT
iogr-1185	70	1	many	many	ADJ
iogr-1185	70	2	fluid	fluid	ADJ
iogr-1185	70	3	correlations	correlation	NOUN
iogr-1185	70	4	can	can	AUX
iogr-1185	70	5	be	be	AUX
iogr-1185	70	6	derived	derive	VERB
iogr-1185	70	7	empirically	empirically	ADV
iogr-1185	70	8	that	that	PRON
iogr-1185	70	9	account	account	VERB
iogr-1185	70	10	for	for	ADP
iogr-1185	70	11	hydrostatic	hydrostatic	ADJ
iogr-1185	70	12	and	and	CCONJ
iogr-1185	70	13	frictional	frictional	ADJ
iogr-1185	70	14	fluid	fluid	NOUN
iogr-1185	70	15	losses	loss	NOUN
iogr-1185	70	16	in	in	ADP
iogr-1185	70	17	a	a	DET
iogr-1185	70	18	wellbore	wellbore	NOUN
iogr-1185	70	19	under	under	ADP
iogr-1185	70	20	various	various	ADJ
iogr-1185	70	21	flow	flow	NOUN
iogr-1185	70	22	conditions	condition	NOUN
iogr-1185	70	23	,	,	PUNCT
iogr-1185	70	24	including	include	VERB
iogr-1185	70	25	modified	modify	VERB
iogr-1185	70	26	beggs	beggs	PROPN
iogr-1185	70	27	and	and	CCONJ
iogr-1185	70	28	brill	brill	PROPN
iogr-1185	70	29	,	,	PUNCT
iogr-1185	70	30	petalas	petala	NOUN
iogr-1185	70	31	and	and	CCONJ
iogr-1185	70	32	aziz	aziz	PROPN
iogr-1185	70	33	,	,	PUNCT
iogr-1185	70	34	flanigan	flanigan	NOUN
iogr-1185	70	35	,	,	PUNCT
iogr-1185	70	36	and	and	CCONJ
iogr-1185	70	37	modified	modify	VERB
iogr-1185	70	38	flanigan	flanigan	NOUN
iogr-1185	70	39	.	.	PUNCT
iogr-1185	71	1	in	in	ADP
iogr-1185	71	2	this	this	DET
iogr-1185	71	3	study	study	NOUN
iogr-1185	71	4	,	,	PUNCT
iogr-1185	71	5	the	the	DET
iogr-1185	71	6	modified	modify	VERB
iogr-1185	71	7	beggs	beggs	PROPN
iogr-1185	71	8	and	and	CCONJ
iogr-1185	71	9	brill	brill	PROPN
iogr-1185	71	10	method	method	NOUN
iogr-1185	71	11	was	be	AUX
iogr-1185	71	12	used	use	VERB
iogr-1185	71	13	to	to	PART
iogr-1185	71	14	calculate	calculate	VERB
iogr-1185	71	15	the	the	DET
iogr-1185	71	16	pressure	pressure	NOUN
iogr-1185	71	17	loss	loss	NOUN
iogr-1185	71	18	along	along	ADP
iogr-1185	71	19	the	the	DET
iogr-1185	71	20	wellbore	wellbore	NOUN
iogr-1185	71	21	.	.	PUNCT
iogr-1185	72	1	fluid	fluid	ADJ
iogr-1185	72	2	-	-	PUNCT
iogr-1185	72	3	solid	solid	ADJ
iogr-1185	72	4	coupling	coupling	NOUN
iogr-1185	72	5	model	model	NOUN
iogr-1185	72	6	.	.	PUNCT
iogr-1185	73	1	geomechanical	geomechanical	ADJ
iogr-1185	73	2	governing	governing	NOUN
iogr-1185	73	3	equation	equation	NOUN
iogr-1185	73	4	.	.	PUNCT
iogr-1185	74	1	we	we	PRON
iogr-1185	74	2	treated	treat	VERB
iogr-1185	74	3	the	the	DET
iogr-1185	74	4	porous	porous	ADJ
iogr-1185	74	5	medium	medium	NOUN
iogr-1185	74	6	as	as	ADP
iogr-1185	74	7	the	the	DET
iogr-1185	74	8	superimposition	superimposition	NOUN
iogr-1185	74	9	of	of	ADP
iogr-1185	74	10	two	two	NUM
iogr-1185	74	11	continua	continuum	NOUN
iogr-1185	74	12	:	:	PUNCT
iogr-1185	74	13	skeleton	skeleton	NOUN
iogr-1185	74	14	and	and	CCONJ
iogr-1185	74	15	fluid	fluid	ADJ
iogr-1185	74	16	.	.	PUNCT
iogr-1185	75	1	the	the	DET
iogr-1185	75	2	physical	physical	ADJ
iogr-1185	75	3	model	model	NOUN
iogr-1185	75	4	was	be	AUX
iogr-1185	75	5	based	base	VERB
iogr-1185	75	6	on	on	ADP
iogr-1185	75	7	the	the	DET
iogr-1185	75	8	governing	govern	VERB
iogr-1185	75	9	equations	equation	NOUN
iogr-1185	75	10	of	of	ADP
iogr-1185	75	11	quasistatic	quasistatic	ADJ
iogr-1185	75	12	poroelasticity	poroelasticity	NOUN
iogr-1185	75	13	(	(	PUNCT
iogr-1185	75	14	biot	biot	NOUN
iogr-1185	75	15	1941	1941	NUM
iogr-1185	75	16	,	,	PUNCT
iogr-1185	75	17	1956	1956	NUM
iogr-1185	75	18	;	;	PUNCT
iogr-1185	75	19	rice	rice	NOUN
iogr-1185	75	20	and	and	CCONJ
iogr-1185	75	21	cleary	cleary	PROPN
iogr-1185	75	22	1994	1994	NUM
iogr-1185	75	23	)	)	PUNCT
iogr-1185	75	24	.	.	PUNCT
iogr-1185	76	1	we	we	PRON
iogr-1185	76	2	assumed	assume	VERB
iogr-1185	76	3	the	the	DET
iogr-1185	76	4	porous	porous	ADJ
iogr-1185	76	5	medium	medium	NOUN
iogr-1185	76	6	to	to	PART
iogr-1185	76	7	be	be	AUX
iogr-1185	76	8	of	of	ADP
iogr-1185	76	9	isotropy	isotropy	NOUN
iogr-1185	76	10	and	and	CCONJ
iogr-1185	76	11	of	of	ADP
iogr-1185	76	12	infinitesimal	infinitesimal	ADJ
iogr-1185	76	13	transformation	transformation	NOUN
iogr-1185	76	14	and	and	CCONJ
iogr-1185	76	15	the	the	DET
iogr-1185	76	16	fluid	fluid	NOUN
iogr-1185	76	17	in	in	ADP
iogr-1185	76	18	the	the	DET
iogr-1185	76	19	porous	porous	ADJ
iogr-1185	76	20	medium	medium	NOUN
iogr-1185	76	21	to	to	PART
iogr-1185	76	22	be	be	AUX
iogr-1185	76	23	isothermal	isothermal	ADJ
iogr-1185	76	24	,	,	PUNCT
iogr-1185	76	25	single	single	ADJ
iogr-1185	76	26	-	-	PUNCT
iogr-1185	76	27	phase	phase	NOUN
iogr-1185	76	28	,	,	PUNCT
iogr-1185	76	29	and	and	CCONJ
iogr-1185	76	30	compressible	compressible	ADJ
iogr-1185	76	31	.	.	PUNCT
iogr-1185	77	1	the	the	DET
iogr-1185	77	2	governing	govern	VERB
iogr-1185	77	3	equations	equation	NOUN
iogr-1185	77	4	for	for	ADP
iogr-1185	77	5	fluid	fluid	ADJ
iogr-1185	77	6	flow	flow	NOUN
iogr-1185	77	7	and	and	CCONJ
iogr-1185	77	8	mechanics	mechanic	NOUN
iogr-1185	77	9	were	be	AUX
iogr-1185	77	10	taken	take	VERB
iogr-1185	77	11	from	from	ADP
iogr-1185	77	12	mass	mass	ADJ
iogr-1185	77	13	and	and	CCONJ
iogr-1185	77	14	linear	linear	ADJ
iogr-1185	77	15	-	-	PUNCT
iogr-1185	77	16	momentum	momentum	NOUN
iogr-1185	77	17	balance	balance	NOUN
iogr-1185	77	18	,	,	PUNCT
iogr-1185	77	19	respectively	respectively	ADV
iogr-1185	77	20	.	.	PUNCT
iogr-1185	78	1	constitutive	constitutive	ADJ
iogr-1185	78	2	relationship	relationship	NOUN
iogr-1185	78	3	for	for	ADP
iogr-1185	78	4	solid	solid	ADJ
iogr-1185	78	5	rock	rock	NOUN
iogr-1185	78	6	can	can	AUX
iogr-1185	78	7	be	be	AUX
iogr-1185	78	8	written	write	VERB
iogr-1185	78	9	as	as	ADP
iogr-1185	78	10	(	(	PUNCT
iogr-1185	78	11	cook	cook	VERB
iogr-1185	78	12	et	et	PROPN
iogr-1185	78	13	al	al	PROPN
iogr-1185	78	14	.	.	PROPN
iogr-1185	78	15	1974	1974	NUM
iogr-1185	78	16	):	):	PUNCT
iogr-1185	78	17	(	(	PUNCT
iogr-1185	78	18	𝜎	𝜎	NOUN
iogr-1185	78	19	−	−	PROPN
iogr-1185	78	20	𝜎0	𝜎0	NOUN
iogr-1185	78	21	)	)	PUNCT
iogr-1185	78	22	+	+	CCONJ
iogr-1185	78	23	b(𝑝−	b(𝑝−	X
iogr-1185	78	24	𝑝0)𝑰	𝑝0)𝑰	NOUN
iogr-1185	78	25	=	=	SYM
iogr-1185	78	26	𝑫휀̃,	𝑫휀̃,	PROPN
iogr-1185	78	27	…	…	SYM
iogr-1185	78	28	…	…	PUNCT
iogr-1185	78	29	…	…	PUNCT
iogr-1185	78	30	…	…	PUNCT
iogr-1185	78	31	…	…	PUNCT
iogr-1185	78	32	…	…	PUNCT
iogr-1185	78	33	…	…	PUNCT
iogr-1185	78	34	…	…	PUNCT
iogr-1185	78	35	…	…	PUNCT
iogr-1185	78	36	…	…	PUNCT
iogr-1185	78	37	…	…	PUNCT
iogr-1185	78	38	…	…	PUNCT
iogr-1185	78	39	…	…	PUNCT
iogr-1185	78	40	…	…	PUNCT
iogr-1185	78	41	…	…	PUNCT
iogr-1185	78	42	…	…	PUNCT
iogr-1185	78	43	…	…	PUNCT
iogr-1185	78	44	…	…	PUNCT
iogr-1185	78	45	…	…	PUNCT
iogr-1185	78	46	…	…	PUNCT
iogr-1185	78	47	…	…	PUNCT
iogr-1185	78	48	…	…	PUNCT
iogr-1185	78	49	…	…	PUNCT
iogr-1185	78	50	…	…	PUNCT
iogr-1185	78	51	…	…	PUNCT
iogr-1185	78	52	…	…	PUNCT
iogr-1185	78	53	…	…	PUNCT
iogr-1185	78	54	…	…	PUNCT
iogr-1185	78	55	…	…	SYM
iogr-1185	78	56	.	.	PUNCT
iogr-1185	78	57	…	…	PUNCT
iogr-1185	78	58	.(1	.(1	NUM
iogr-1185	78	59	)	)	PUNCT
iogr-1185	78	60	where	where	SCONJ
iogr-1185	78	61	σ	σ	PROPN
iogr-1185	78	62	is	be	AUX
iogr-1185	78	63	the	the	DET
iogr-1185	78	64	cauchy	cauchy	ADJ
iogr-1185	78	65	total	total	ADJ
iogr-1185	78	66	stress	stress	NOUN
iogr-1185	78	67	tensor	tensor	NOUN
iogr-1185	78	68	;	;	PUNCT
iogr-1185	78	69	b	b	X
iogr-1185	78	70	is	be	AUX
iogr-1185	78	71	the	the	DET
iogr-1185	78	72	biot	biot	NOUN
iogr-1185	78	73	’s	’s	PART
iogr-1185	78	74	coefficient	coefficient	NOUN
iogr-1185	78	75	;	;	PUNCT
iogr-1185	78	76	p	p	PRON
iogr-1185	78	77	is	be	AUX
iogr-1185	78	78	the	the	DET
iogr-1185	78	79	pore	pore	ADJ
iogr-1185	78	80	fluid	fluid	NOUN
iogr-1185	78	81	pressure	pressure	NOUN
iogr-1185	78	82	;	;	PUNCT
iogr-1185	78	83	i	i	PRON
iogr-1185	78	84	is	be	AUX
iogr-1185	78	85	thee	thee	NOUN
iogr-1185	78	86	unit	unit	NOUN
iogr-1185	78	87	matrix	matrix	NOUN
iogr-1185	78	88	,	,	PUNCT
iogr-1185	78	89	i	i	PRON
iogr-1185	78	90	=	=	PUNCT
iogr-1185	79	1	[	[	X
iogr-1185	79	2	1	1	NUM
iogr-1185	79	3	1	1	NUM
iogr-1185	79	4	1	1	NUM
iogr-1185	79	5	0	0	NUM
iogr-1185	79	6	0	0	NUM
iogr-1185	79	7	0]𝑇	0]𝑇	NOUN
iogr-1185	79	8	;	;	PUNCT
iogr-1185	79	9	d	d	X
iogr-1185	79	10	is	be	AUX
iogr-1185	79	11	the	the	DET
iogr-1185	79	12	elastic	elastic	ADJ
iogr-1185	79	13	tensor	tensor	NOUN
iogr-1185	79	14	matrix	matrix	NOUN
iogr-1185	79	15	;	;	PUNCT
iogr-1185	79	16	and	and	CCONJ
iogr-1185	79	17	휀̃	휀̃	PROPN
iogr-1185	79	18	is	be	AUX
iogr-1185	79	19	the	the	DET
iogr-1185	79	20	linearized	linearize	VERB
iogr-1185	79	21	strain	strain	NOUN
iogr-1185	79	22	tensor	tensor	NOUN
iogr-1185	79	23	under	under	ADP
iogr-1185	79	24	the	the	DET
iogr-1185	79	25	assumption	assumption	NOUN
iogr-1185	79	26	of	of	ADP
iogr-1185	79	27	infinitesimal	infinitesimal	ADJ
iogr-1185	79	28	transformation	transformation	NOUN
iogr-1185	79	29	.	.	PUNCT
iogr-1185	80	1	the	the	DET
iogr-1185	80	2	strain	strain	NOUN
iogr-1185	80	3	tensor	tensor	NOUN
iogr-1185	80	4	,	,	PUNCT
iogr-1185	80	5	휀̃	휀̃	PROPN
iogr-1185	80	6	,	,	PUNCT
iogr-1185	80	7	is	be	AUX
iogr-1185	80	8	related	relate	VERB
iogr-1185	80	9	to	to	ADP
iogr-1185	80	10	the	the	DET
iogr-1185	80	11	displacement	displacement	ADJ
iogr-1185	80	12	vector	vector	NOUN
iogr-1185	80	13	,	,	PUNCT
iogr-1185	80	14	�	�	PROPN
iogr-1185	80	15	̃	̃	PROPN
iogr-1185	80	16	�	�	PROPN
iogr-1185	80	17	,	,	PUNCT
iogr-1185	80	18	via	via	ADP
iogr-1185	80	19	the	the	DET
iogr-1185	80	20	kinematic	kinematic	ADJ
iogr-1185	80	21	compatibility	compatibility	NOUN
iogr-1185	80	22	relations	relation	NOUN
iogr-1185	80	23	as	as	SCONJ
iogr-1185	80	24	follows	follow	VERB
iogr-1185	80	25	:	:	PUNCT
iogr-1185	80	26	휀̃	휀̃	PROPN
iogr-1185	80	27	=	=	SYM
iogr-1185	80	28	1	1	NUM
iogr-1185	80	29	2	2	NUM
iogr-1185	80	30	(	(	PUNCT
iogr-1185	80	31	∇	∇	X
iogr-1185	80	32	�	�	PROPN
iogr-1185	80	33	̃	̃	PROPN
iogr-1185	80	34	�	�	PROPN
iogr-1185	80	35	+	+	CCONJ
iogr-1185	80	36	(	(	PUNCT
iogr-1185	80	37	∇	∇	PROPN
iogr-1185	80	38	�	�	PROPN
iogr-1185	80	39	̃	̃	PROPN
iogr-1185	80	40	�	�	PROPN
iogr-1185	80	41	)𝑇),	)𝑇),	PROPN
iogr-1185	80	42	…	…	SYM
iogr-1185	80	43	…	…	PUNCT
iogr-1185	80	44	…	…	PUNCT
iogr-1185	80	45	…	…	PUNCT
iogr-1185	80	46	…	…	PUNCT
iogr-1185	80	47	…	…	PUNCT
iogr-1185	80	48	…	…	PUNCT
iogr-1185	80	49	…	…	PUNCT
iogr-1185	80	50	…	…	PUNCT
iogr-1185	80	51	…	…	PUNCT
iogr-1185	80	52	…	…	PUNCT
iogr-1185	80	53	…	…	PUNCT
iogr-1185	80	54	…	…	PUNCT
iogr-1185	80	55	…	…	PUNCT
iogr-1185	80	56	…	…	PUNCT
iogr-1185	80	57	…	…	PUNCT
iogr-1185	80	58	…	…	PUNCT
iogr-1185	80	59	…	…	PUNCT
iogr-1185	80	60	…	…	PUNCT
iogr-1185	80	61	…	…	PUNCT
iogr-1185	80	62	…	…	PUNCT
iogr-1185	80	63	…	…	PUNCT
iogr-1185	80	64	…	…	PUNCT
iogr-1185	80	65	…	…	PUNCT
iogr-1185	80	66	…	…	PUNCT
iogr-1185	80	67	…	…	PUNCT
iogr-1185	80	68	…	…	PUNCT
iogr-1185	80	69	…	…	PUNCT
iogr-1185	80	70	…	…	PUNCT
iogr-1185	80	71	…	…	PUNCT
iogr-1185	80	72	…	…	PUNCT
iogr-1185	80	73	…	…	PUNCT
iogr-1185	80	74	(2	(2	NUM
iogr-1185	80	75	)	)	PUNCT
iogr-1185	80	76	the	the	DET
iogr-1185	80	77	governing	govern	VERB
iogr-1185	80	78	equation	equation	NOUN
iogr-1185	80	79	for	for	ADP
iogr-1185	80	80	mechanical	mechanical	ADJ
iogr-1185	80	81	deformation	deformation	NOUN
iogr-1185	80	82	of	of	ADP
iogr-1185	80	83	the	the	DET
iogr-1185	80	84	rock	rock	NOUN
iogr-1185	80	85	mass	mass	NOUN
iogr-1185	80	86	can	can	AUX
iogr-1185	80	87	be	be	AUX
iogr-1185	80	88	written	write	VERB
iogr-1185	80	89	as	as	SCONJ
iogr-1185	80	90	follows	follow	VERB
iogr-1185	80	91	.	.	PUNCT
iogr-1185	81	1	∇𝛔	∇𝛔	PROPN
iogr-1185	81	2	+	+	CCONJ
iogr-1185	81	3	𝜌𝑏𝒈	𝜌𝑏𝒈	NOUN
iogr-1185	81	4	=	=	SYM
iogr-1185	81	5	0,	0,	NUM
iogr-1185	81	6	…	…	SYM
iogr-1185	81	7	…	…	PUNCT
iogr-1185	81	8	…	…	PUNCT
iogr-1185	81	9	…	…	PUNCT
iogr-1185	81	10	…	…	PUNCT
iogr-1185	81	11	…	…	PUNCT
iogr-1185	81	12	…	…	PUNCT
iogr-1185	81	13	…	…	PUNCT
iogr-1185	81	14	…	…	PUNCT
iogr-1185	81	15	…	…	PUNCT
iogr-1185	81	16	…	…	PUNCT
iogr-1185	81	17	…	…	PUNCT
iogr-1185	81	18	…	…	PUNCT
iogr-1185	81	19	…	…	PUNCT
iogr-1185	81	20	…	…	PUNCT
iogr-1185	81	21	…	…	PUNCT
iogr-1185	81	22	…	…	PUNCT
iogr-1185	81	23	…	…	PUNCT
iogr-1185	81	24	…	…	PUNCT
iogr-1185	81	25	…	…	PUNCT
iogr-1185	81	26	…	…	PUNCT
iogr-1185	81	27	…	…	PUNCT
iogr-1185	81	28	…	…	PUNCT
iogr-1185	81	29	…	…	PUNCT
iogr-1185	81	30	…	…	PUNCT
iogr-1185	81	31	…	…	PUNCT
iogr-1185	81	32	…	…	PUNCT
iogr-1185	81	33	…	…	PUNCT
iogr-1185	81	34	…	…	PUNCT
iogr-1185	81	35	…	…	PUNCT
iogr-1185	81	36	…	…	PUNCT
iogr-1185	81	37	…	…	PUNCT
iogr-1185	81	38	…	…	PUNCT
iogr-1185	81	39	…	…	PUNCT
iogr-1185	81	40	.(3	.(3	NOUN
iogr-1185	81	41	)	)	PUNCT
iogr-1185	81	42	where	where	SCONJ
iogr-1185	81	43	g	g	PROPN
iogr-1185	81	44	is	be	AUX
iogr-1185	81	45	the	the	DET
iogr-1185	81	46	gravity	gravity	NOUN
iogr-1185	81	47	vector	vector	NOUN
iogr-1185	81	48	;	;	PUNCT
iogr-1185	81	49	𝜌𝑏	𝜌𝑏	NOUN
iogr-1185	81	50	=	=	NOUN
iogr-1185	81	51	𝜙𝜌𝑓	𝜙𝜌𝑓	PROPN
iogr-1185	81	52	+	+	CCONJ
iogr-1185	81	53	(	(	PUNCT
iogr-1185	81	54	1	1	NUM
iogr-1185	81	55	−	−	NOUN
iogr-1185	81	56	𝜙)𝜌𝑠	𝜙)𝜌𝑠	PROPN
iogr-1185	81	57	is	be	AUX
iogr-1185	81	58	the	the	DET
iogr-1185	81	59	bulk	bulk	ADJ
iogr-1185	81	60	density	density	NOUN
iogr-1185	81	61	;	;	PUNCT
iogr-1185	81	62	𝜌𝑓	𝜌𝑓	NUM
iogr-1185	81	63	is	be	AUX
iogr-1185	81	64	the	the	DET
iogr-1185	81	65	fluid	fluid	ADJ
iogr-1185	81	66	density	density	NOUN
iogr-1185	81	67	;	;	PUNCT
iogr-1185	81	68	𝜌𝑠	𝜌𝑠	NOUN
iogr-1185	81	69	is	be	AUX
iogr-1185	81	70	the	the	DET
iogr-1185	81	71	solid	solid	ADJ
iogr-1185	81	72	density	density	NOUN
iogr-1185	81	73	;	;	PUNCT
iogr-1185	81	74	and	and	CCONJ
iogr-1185	81	75	𝜙	𝜙	PRON
iogr-1185	81	76	is	be	AUX
iogr-1185	81	77	the	the	DET
iogr-1185	81	78	true	true	ADJ
iogr-1185	81	79	porosity	porosity	NOUN
iogr-1185	81	80	.	.	PUNCT
iogr-1185	82	1	true	true	ADJ
iogr-1185	82	2	porosity	porosity	NOUN
iogr-1185	82	3	is	be	AUX
iogr-1185	82	4	defined	define	VERB
iogr-1185	82	5	as	as	ADP
iogr-1185	82	6	the	the	DET
iogr-1185	82	7	ratio	ratio	NOUN
iogr-1185	82	8	between	between	ADP
iogr-1185	82	9	current	current	ADJ
iogr-1185	82	10	void	void	ADJ
iogr-1185	82	11	volume	volume	NOUN
iogr-1185	82	12	and	and	CCONJ
iogr-1185	82	13	current	current	ADJ
iogr-1185	82	14	bulk	bulk	ADJ
iogr-1185	82	15	volume	volume	NOUN
iogr-1185	82	16	.	.	PUNCT
iogr-1185	83	1	substituting	substitute	VERB
iogr-1185	83	2	eqs	eqs	PROPN
iogr-1185	83	3	.	.	PROPN
iogr-1185	83	4	1	1	NUM
iogr-1185	83	5	and	and	CCONJ
iogr-1185	83	6	2	2	NUM
iogr-1185	83	7	in	in	ADP
iogr-1185	83	8	eq	eq	ADP
iogr-1185	83	9	.	.	PROPN
iogr-1185	83	10	3	3	NUM
iogr-1185	83	11	,	,	PUNCT
iogr-1185	83	12	the	the	DET
iogr-1185	83	13	governing	govern	VERB
iogr-1185	83	14	equation	equation	NOUN
iogr-1185	83	15	for	for	ADP
iogr-1185	83	16	rock	rock	NOUN
iogr-1185	83	17	can	can	AUX
iogr-1185	83	18	be	be	AUX
iogr-1185	83	19	expressed	express	VERB
iogr-1185	83	20	as	as	ADP
iogr-1185	83	21	:	:	PUNCT
iogr-1185	83	22	∇	∇	X
iogr-1185	83	23	[	[	PUNCT
iogr-1185	83	24	1	1	NUM
iogr-1185	83	25	2	2	NUM
iogr-1185	83	26	𝐷(∇	𝐷(∇	NOUN
iogr-1185	83	27	�	�	PROPN
iogr-1185	83	28	̃	̃	PROPN
iogr-1185	83	29	�	�	PROPN
iogr-1185	83	30	+	+	CCONJ
iogr-1185	83	31	(	(	PUNCT
iogr-1185	83	32	∇	∇	PROPN
iogr-1185	83	33	�	�	PROPN
iogr-1185	83	34	̃	̃	PROPN
iogr-1185	83	35	�	�	NOUN
iogr-1185	83	36	)𝑇	)𝑇	X
iogr-1185	83	37	)	)	PUNCT
iogr-1185	84	1	+	+	NUM
iogr-1185	84	2	𝜎0	𝜎0	NOUN
iogr-1185	84	3	−	−	PROPN
iogr-1185	85	1	b(𝑝	b(𝑝	PROPN
iogr-1185	85	2	−	−	PROPN
iogr-1185	85	3	𝑝0)𝑰	𝑝0)𝑰	NOUN
iogr-1185	85	4	]	]	X
iogr-1185	85	5	+	+	PUNCT
iogr-1185	85	6	𝜌𝑏𝒈	𝜌𝑏𝒈	NOUN
iogr-1185	85	7	=	=	SYM
iogr-1185	85	8	0	0	NUM
iogr-1185	85	9	…	…	SYM
iogr-1185	85	10	…	…	PUNCT
iogr-1185	85	11	…	…	PUNCT
iogr-1185	85	12	…	…	PUNCT
iogr-1185	85	13	…	…	PUNCT
iogr-1185	85	14	…	…	PUNCT
iogr-1185	85	15	…	…	PUNCT
iogr-1185	85	16	…	…	PUNCT
iogr-1185	85	17	…	…	PUNCT
iogr-1185	85	18	…	…	PUNCT
iogr-1185	85	19	…	…	SYM
iogr-1185	85	20	.	.	NUM
iogr-1185	85	21	…	…	PUNCT
iogr-1185	85	22	…	…	PUNCT
iogr-1185	85	23	…	…	PUNCT
iogr-1185	85	24	…	…	PUNCT
iogr-1185	85	25	…	…	PUNCT
iogr-1185	85	26	…	…	PUNCT
iogr-1185	85	27	…	…	PUNCT
iogr-1185	85	28	...	...	PUNCT
iogr-1185	85	29	(4	(4	NOUN
iogr-1185	85	30	)	)	PUNCT
iogr-1185	85	31	fluid	fluid	ADJ
iogr-1185	85	32	flow	flow	NOUN
iogr-1185	85	33	governing	govern	VERB
iogr-1185	85	34	equation	equation	NOUN
iogr-1185	85	35	.	.	PUNCT
iogr-1185	86	1	fluid	fluid	ADJ
iogr-1185	86	2	flow	flow	NOUN
iogr-1185	86	3	in	in	ADP
iogr-1185	86	4	the	the	DET
iogr-1185	86	5	fractured	fractured	ADJ
iogr-1185	86	6	porous	porous	ADJ
iogr-1185	86	7	medium	medium	NOUN
iogr-1185	86	8	during	during	ADP
iogr-1185	86	9	the	the	DET
iogr-1185	86	10	flowback	flowback	NOUN
iogr-1185	86	11	period	period	NOUN
iogr-1185	86	12	experiences	experience	VERB
iogr-1185	86	13	three	three	NUM
iogr-1185	86	14	stages	stage	NOUN
iogr-1185	86	15	:	:	PUNCT
iogr-1185	86	16	flow	flow	NOUN
iogr-1185	86	17	in	in	ADP
iogr-1185	86	18	the	the	DET
iogr-1185	86	19	porous	porous	ADJ
iogr-1185	86	20	matrix	matrix	NOUN
iogr-1185	86	21	,	,	PUNCT
iogr-1185	86	22	flow	flow	NOUN
iogr-1185	86	23	in	in	ADP
iogr-1185	86	24	the	the	DET
iogr-1185	86	25	fracture	fracture	NOUN
iogr-1185	86	26	,	,	PUNCT
iogr-1185	86	27	and	and	CCONJ
iogr-1185	86	28	cross	cross	NOUN
iogr-1185	86	29	-	-	NOUN
iogr-1185	86	30	flow	flow	NOUN
iogr-1185	86	31	between	between	ADP
iogr-1185	86	32	the	the	DET
iogr-1185	86	33	matrix	matrix	NOUN
iogr-1185	86	34	and	and	CCONJ
iogr-1185	86	35	fracture	fracture	NOUN
iogr-1185	86	36	.	.	PUNCT
iogr-1185	87	1	the	the	DET
iogr-1185	87	2	governing	govern	VERB
iogr-1185	87	3	equations	equation	NOUN
iogr-1185	87	4	for	for	ADP
iogr-1185	87	5	the	the	DET
iogr-1185	87	6	three	three	NUM
iogr-1185	87	7	stages	stage	NOUN
iogr-1185	87	8	of	of	ADP
iogr-1185	87	9	fluid	fluid	ADJ
iogr-1185	87	10	flow	flow	NOUN
iogr-1185	87	11	are	be	AUX
iogr-1185	87	12	described	describe	VERB
iogr-1185	87	13	in	in	ADP
iogr-1185	87	14	the	the	DET
iogr-1185	87	15	following	follow	VERB
iogr-1185	87	16	paragraphs	paragraph	NOUN
iogr-1185	87	17	.	.	PUNCT
iogr-1185	88	1	the	the	DET
iogr-1185	88	2	fluid	fluid	ADJ
iogr-1185	88	3	flow	flow	NOUN
iogr-1185	88	4	constitutive	constitutive	ADJ
iogr-1185	88	5	equation	equation	NOUN
iogr-1185	88	6	can	can	AUX
iogr-1185	88	7	be	be	AUX
iogr-1185	88	8	expressed	express	VERB
iogr-1185	88	9	as	as	ADP
iogr-1185	88	10	:	:	PUNCT
iogr-1185	88	11	𝜕(𝜌𝑓𝑉𝑝	𝜕(𝜌𝑓𝑉𝑝	PROPN
iogr-1185	88	12	)	)	PUNCT
iogr-1185	88	13	𝑉𝑏𝜕𝑡	𝑉𝑏𝜕𝑡	NOUN
iogr-1185	88	14	+	+	CCONJ
iogr-1185	88	15	∇(𝜌𝑓𝒗𝑓	∇(𝜌𝑓𝒗𝑓	NOUN
iogr-1185	88	16	)	)	PUNCT
iogr-1185	88	17	=	=	PRON
iogr-1185	88	18	𝑞	𝑞	PROPN
iogr-1185	88	19	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	88	20	,	,	PUNCT
iogr-1185	88	21	…	…	PUNCT
iogr-1185	88	22	…	…	PUNCT
iogr-1185	88	23	…	…	PUNCT
iogr-1185	88	24	…	…	PUNCT
iogr-1185	88	25	…	…	PUNCT
iogr-1185	88	26	…	…	PUNCT
iogr-1185	88	27	…	…	PUNCT
iogr-1185	88	28	…	…	PUNCT
iogr-1185	88	29	…	…	PUNCT
iogr-1185	88	30	…	…	PUNCT
iogr-1185	88	31	…	…	PUNCT
iogr-1185	88	32	…	…	PUNCT
iogr-1185	88	33	…	…	PUNCT
iogr-1185	88	34	…	…	PUNCT
iogr-1185	88	35	…	…	PUNCT
iogr-1185	88	36	…	…	PUNCT
iogr-1185	88	37	…	…	PUNCT
iogr-1185	88	38	…	…	PUNCT
iogr-1185	88	39	…	…	PUNCT
iogr-1185	88	40	…	…	PUNCT
iogr-1185	88	41	…	…	PUNCT
iogr-1185	88	42	…	…	PUNCT
iogr-1185	88	43	…	…	PUNCT
iogr-1185	88	44	…	…	PUNCT
iogr-1185	88	45	…	…	PUNCT
iogr-1185	88	46	…	…	PUNCT
iogr-1185	88	47	…	…	PUNCT
iogr-1185	88	48	…	…	PUNCT
iogr-1185	88	49	…	…	PUNCT
iogr-1185	88	50	…	…	PUNCT
iogr-1185	88	51	..	..	PUNCT
iogr-1185	88	52	(	(	PUNCT
iogr-1185	88	53	5	5	NUM
iogr-1185	88	54	)	)	PUNCT
iogr-1185	88	55	where	where	SCONJ
iogr-1185	88	56	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	88	57	is	be	AUX
iogr-1185	88	58	the	the	DET
iogr-1185	88	59	pore	pore	ADJ
iogr-1185	88	60	volume	volume	NOUN
iogr-1185	88	61	;	;	PUNCT
iogr-1185	88	62	𝑉𝑏is	𝑉𝑏is	PROPN
iogr-1185	88	63	the	the	DET
iogr-1185	88	64	bulk	bulk	ADJ
iogr-1185	88	65	volume	volume	NOUN
iogr-1185	88	66	;	;	PUNCT
iogr-1185	88	67	𝜌𝑓	𝜌𝑓	NUM
iogr-1185	88	68	is	be	AUX
iogr-1185	88	69	the	the	DET
iogr-1185	88	70	fluid	fluid	ADJ
iogr-1185	88	71	density	density	NOUN
iogr-1185	88	72	;	;	PUNCT
iogr-1185	88	73	q	q	X
iogr-1185	88	74	is	be	AUX
iogr-1185	88	75	a	a	DET
iogr-1185	88	76	sink	sink	NOUN
iogr-1185	88	77	/	/	SYM
iogr-1185	88	78	source	source	NOUN
iogr-1185	88	79	term	term	NOUN
iogr-1185	88	80	for	for	ADP
iogr-1185	88	81	5	5	NUM
iogr-1185	88	82	fluid	fluid	NOUN
iogr-1185	88	83	;	;	PUNCT
iogr-1185	88	84	and	and	CCONJ
iogr-1185	88	85	𝒗𝑓is	𝒗𝑓i	VERB
iogr-1185	88	86	the	the	DET
iogr-1185	88	87	fluid	fluid	ADJ
iogr-1185	88	88	velocity	velocity	NOUN
iogr-1185	88	89	vector	vector	NOUN
iogr-1185	88	90	,	,	PUNCT
iogr-1185	88	91	which	which	PRON
iogr-1185	88	92	can	can	AUX
iogr-1185	88	93	be	be	AUX
iogr-1185	88	94	expressed	express	VERB
iogr-1185	88	95	by	by	ADP
iogr-1185	88	96	darcy	darcy	PROPN
iogr-1185	88	97	’s	’s	PROPN
iogr-1185	88	98	law	law	NOUN
iogr-1185	88	99	:	:	PUNCT
iogr-1185	88	100	𝒗𝑓	𝒗𝑓	NOUN
iogr-1185	88	101	=	=	SYM
iogr-1185	88	102	−	−	PROPN
iogr-1185	88	103	𝐾	𝐾	PROPN
iogr-1185	88	104	𝜇	𝜇	X
iogr-1185	88	105	(	(	PUNCT
iogr-1185	88	106	∇𝐩	∇𝐩	VERB
iogr-1185	88	107	−	−	PROPN
iogr-1185	88	108	𝜌𝑓𝒈),	𝜌𝑓𝒈),	NOUN
iogr-1185	88	109	…	…	PUNCT
iogr-1185	88	110	…	…	PUNCT
iogr-1185	88	111	…	…	PUNCT
iogr-1185	88	112	…	…	PUNCT
iogr-1185	88	113	…	…	PUNCT
iogr-1185	88	114	…	…	PUNCT
iogr-1185	88	115	…	…	PUNCT
iogr-1185	88	116	…	…	PUNCT
iogr-1185	88	117	…	…	PUNCT
iogr-1185	88	118	…	…	PUNCT
iogr-1185	88	119	…	…	PUNCT
iogr-1185	88	120	…	…	PUNCT
iogr-1185	88	121	…	…	PUNCT
iogr-1185	88	122	…	…	PUNCT
iogr-1185	88	123	…	…	PUNCT
iogr-1185	88	124	…	…	PUNCT
iogr-1185	88	125	…	…	PUNCT
iogr-1185	88	126	…	…	PUNCT
iogr-1185	88	127	…	…	PUNCT
iogr-1185	88	128	…	…	PUNCT
iogr-1185	88	129	…	…	PUNCT
iogr-1185	88	130	…	…	PUNCT
iogr-1185	88	131	…	…	PUNCT
iogr-1185	88	132	…	…	PUNCT
iogr-1185	88	133	…	…	PUNCT
iogr-1185	88	134	…	…	PUNCT
iogr-1185	88	135	…	…	PUNCT
iogr-1185	88	136	…	…	PUNCT
iogr-1185	88	137	…	…	PUNCT
iogr-1185	88	138	…	…	PUNCT
iogr-1185	88	139	…	…	SYM
iogr-1185	88	140	.(6	.(6	NOUN
iogr-1185	88	141	)	)	PUNCT
iogr-1185	88	142	where	where	SCONJ
iogr-1185	88	143	𝜇	𝜇	ADV
iogr-1185	88	144	is	be	AUX
iogr-1185	88	145	the	the	DET
iogr-1185	88	146	fluid	fluid	ADJ
iogr-1185	88	147	dynamic	dynamic	ADJ
iogr-1185	88	148	viscosity	viscosity	NOUN
iogr-1185	88	149	;	;	PUNCT
iogr-1185	88	150	k	k	X
iogr-1185	88	151	is	be	AUX
iogr-1185	88	152	the	the	DET
iogr-1185	88	153	permeability	permeability	NOUN
iogr-1185	88	154	vector	vector	NOUN
iogr-1185	88	155	;	;	PUNCT
iogr-1185	88	156	and	and	CCONJ
iogr-1185	88	157	p	p	NOUN
iogr-1185	88	158	is	be	AUX
iogr-1185	88	159	the	the	DET
iogr-1185	88	160	pressure	pressure	NOUN
iogr-1185	88	161	.	.	PUNCT
iogr-1185	89	1	based	base	VERB
iogr-1185	89	2	on	on	ADP
iogr-1185	89	3	poroelastic	poroelastic	ADJ
iogr-1185	89	4	theory	theory	NOUN
iogr-1185	89	5	and	and	CCONJ
iogr-1185	89	6	darcy	darcy	PROPN
iogr-1185	89	7	’s	’s	PART
iogr-1185	89	8	law	law	NOUN
iogr-1185	89	9	,	,	PUNCT
iogr-1185	89	10	the	the	DET
iogr-1185	89	11	governing	govern	VERB
iogr-1185	89	12	equation	equation	NOUN
iogr-1185	89	13	for	for	ADP
iogr-1185	89	14	single	single	ADJ
iogr-1185	89	15	-	-	PUNCT
iogr-1185	89	16	phase	phase	NOUN
iogr-1185	89	17	fluid	fluid	NOUN
iogr-1185	89	18	flow	flow	NOUN
iogr-1185	89	19	(	(	PUNCT
iogr-1185	89	20	eq	eq	NOUN
iogr-1185	89	21	.	.	NOUN
iogr-1185	89	22	5	5	NUM
iogr-1185	89	23	)	)	PUNCT
iogr-1185	89	24	in	in	ADP
iogr-1185	89	25	porous	porous	ADJ
iogr-1185	89	26	media	medium	NOUN
iogr-1185	89	27	can	can	AUX
iogr-1185	89	28	be	be	AUX
iogr-1185	89	29	derived	derive	VERB
iogr-1185	89	30	as	as	ADP
iogr-1185	89	31	(	(	PUNCT
iogr-1185	89	32	see	see	VERB
iogr-1185	89	33	derivative	derivative	ADJ
iogr-1185	89	34	details	detail	NOUN
iogr-1185	89	35	in	in	ADP
iogr-1185	89	36	attachment	attachment	NOUN
iogr-1185	89	37	1	1	NUM
iogr-1185	89	38	):	):	PUNCT
iogr-1185	89	39	𝑏	𝑏	PROPN
iogr-1185	89	40	𝜕𝜀𝑏	𝜕𝜀𝑏	X
iogr-1185	89	41	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	89	42	+	+	NOUN
iogr-1185	89	43	1	1	NUM
iogr-1185	89	44	𝑀	𝑀	PROPN
iogr-1185	89	45	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	90	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	91	1	=	=	NOUN
iogr-1185	91	2	𝑞	𝑞	X
iogr-1185	91	3	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	NOUN
iogr-1185	91	4	+	+	CCONJ
iogr-1185	91	5	∇	∇	X
iogr-1185	91	6	[	[	PUNCT
iogr-1185	91	7	𝐾	𝐾	PROPN
iogr-1185	91	8	𝜇	𝜇	X
iogr-1185	91	9	(	(	PUNCT
iogr-1185	91	10	∇𝐩	∇𝐩	PROPN
iogr-1185	91	11	−	−	NOUN
iogr-1185	91	12	𝜌𝑓𝒈)],	𝜌𝑓𝒈)],	NOUN
iogr-1185	91	13	…	…	SYM
iogr-1185	91	14	…	…	PUNCT
iogr-1185	91	15	…	…	PUNCT
iogr-1185	91	16	…	…	PUNCT
iogr-1185	91	17	…	…	PUNCT
iogr-1185	91	18	…	…	PUNCT
iogr-1185	91	19	…	…	PUNCT
iogr-1185	91	20	…	…	PUNCT
iogr-1185	91	21	…	…	PUNCT
iogr-1185	91	22	…	…	PUNCT
iogr-1185	91	23	…	…	PUNCT
iogr-1185	91	24	…	…	PUNCT
iogr-1185	91	25	…	…	PUNCT
iogr-1185	91	26	…	…	PUNCT
iogr-1185	91	27	…	…	PUNCT
iogr-1185	91	28	…	…	PUNCT
iogr-1185	91	29	…	…	PUNCT
iogr-1185	91	30	…	…	PUNCT
iogr-1185	91	31	…	…	PUNCT
iogr-1185	91	32	…	…	PUNCT
iogr-1185	91	33	…	…	PUNCT
iogr-1185	91	34	…	…	PUNCT
iogr-1185	91	35	…	…	PUNCT
iogr-1185	91	36	…	…	PUNCT
iogr-1185	91	37	(7	(7	NOUN
iogr-1185	91	38	)	)	PUNCT
iogr-1185	91	39	where	where	SCONJ
iogr-1185	91	40	휀𝑏is	휀𝑏i	VERB
iogr-1185	91	41	the	the	DET
iogr-1185	91	42	bulk	bulk	ADJ
iogr-1185	91	43	stress	stress	NOUN
iogr-1185	91	44	tensor	tensor	NOUN
iogr-1185	91	45	;	;	PUNCT
iogr-1185	91	46	m	m	VERB
iogr-1185	91	47	is	be	AUX
iogr-1185	91	48	biot	biot	PROPN
iogr-1185	91	49	’s	’s	PART
iogr-1185	91	50	modulus	modulus	NOUN
iogr-1185	91	51	,	,	PUNCT
iogr-1185	91	52	1	1	NUM
iogr-1185	91	53	𝑀	𝑀	NOUN
iogr-1185	91	54	=	=	PUNCT
iogr-1185	91	55	ϕ𝑐𝑓	ϕ𝑐𝑓	NOUN
iogr-1185	92	1	+	+	CCONJ
iogr-1185	92	2	𝑏−𝜙	𝑏−𝜙	NOUN
iogr-1185	92	3	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	92	4	;	;	PUNCT
iogr-1185	92	5	𝑐𝑓	𝑐𝑓	INTJ
iogr-1185	92	6	is	be	AUX
iogr-1185	92	7	the	the	DET
iogr-1185	92	8	fluid	fluid	ADJ
iogr-1185	92	9	compressibility	compressibility	NOUN
iogr-1185	92	10	;	;	PUNCT
iogr-1185	92	11	k	k	X
iogr-1185	92	12	is	be	AUX
iogr-1185	92	13	the	the	DET
iogr-1185	92	14	skeleton	skeleton	NOUN
iogr-1185	92	15	modulus	modulus	NOUN
iogr-1185	92	16	;	;	PUNCT
iogr-1185	92	17	and	and	CCONJ
iogr-1185	92	18	𝑏	𝑏	NOUN
iogr-1185	92	19	=	=	SYM
iogr-1185	92	20	1	1	NUM
iogr-1185	92	21	−	−	PROPN
iogr-1185	92	22	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	92	23	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	92	24	.	.	PUNCT
iogr-1185	93	1	eqs	eqs	PROPN
iogr-1185	93	2	.	.	PROPN
iogr-1185	93	3	4	4	NUM
iogr-1185	93	4	and	and	CCONJ
iogr-1185	93	5	7	7	NUM
iogr-1185	93	6	constitute	constitute	VERB
iogr-1185	93	7	the	the	DET
iogr-1185	93	8	governing	govern	VERB
iogr-1185	93	9	equations	equation	NOUN
iogr-1185	93	10	for	for	ADP
iogr-1185	93	11	the	the	DET
iogr-1185	93	12	rock	rock	NOUN
iogr-1185	93	13	and	and	CCONJ
iogr-1185	93	14	fluid	fluid	NOUN
iogr-1185	93	15	,	,	PUNCT
iogr-1185	93	16	respectively	respectively	ADV
iogr-1185	93	17	.	.	PUNCT
iogr-1185	94	1	after	after	ADP
iogr-1185	94	2	discretizing	discretize	VERB
iogr-1185	94	3	the	the	DET
iogr-1185	94	4	equations	equation	NOUN
iogr-1185	94	5	,	,	PUNCT
iogr-1185	94	6	the	the	DET
iogr-1185	94	7	pressure	pressure	NOUN
iogr-1185	94	8	and	and	CCONJ
iogr-1185	94	9	displacement	displacement	ADJ
iogr-1185	94	10	fields	field	NOUN
iogr-1185	94	11	of	of	ADP
iogr-1185	94	12	the	the	DET
iogr-1185	94	13	model	model	NOUN
iogr-1185	94	14	could	could	AUX
iogr-1185	94	15	be	be	AUX
iogr-1185	94	16	determined	determine	VERB
iogr-1185	94	17	.	.	PUNCT
iogr-1185	95	1	numerical	numerical	ADJ
iogr-1185	95	2	discretization	discretization	PROPN
iogr-1185	95	3	.	.	PUNCT
iogr-1185	96	1	time	time	NOUN
iogr-1185	96	2	discretization	discretization	NOUN
iogr-1185	96	3	was	be	AUX
iogr-1185	96	4	applied	apply	VERB
iogr-1185	96	5	using	use	VERB
iogr-1185	96	6	a	a	DET
iogr-1185	96	7	backward	backward	ADJ
iogr-1185	96	8	first	first	ADJ
iogr-1185	96	9	-	-	PUNCT
iogr-1185	96	10	order	order	NOUN
iogr-1185	96	11	and	and	CCONJ
iogr-1185	96	12	a	a	DET
iogr-1185	96	13	fully	fully	ADV
iogr-1185	96	14	implicit	implicit	ADJ
iogr-1185	96	15	finite	finite	ADJ
iogr-1185	96	16	-	-	ADJ
iogr-1185	96	17	difference	difference	NOUN
iogr-1185	96	18	scheme	scheme	NOUN
iogr-1185	96	19	.	.	PUNCT
iogr-1185	97	1	we	we	PRON
iogr-1185	97	2	adopted	adopt	VERB
iogr-1185	97	3	fem	fem	NOUN
iogr-1185	97	4	to	to	PART
iogr-1185	97	5	discretize	discretize	VERB
iogr-1185	97	6	the	the	DET
iogr-1185	97	7	objective	objective	ADJ
iogr-1185	97	8	domain	domain	NOUN
iogr-1185	97	9	,	,	PUNCT
iogr-1185	97	10	both	both	PRON
iogr-1185	97	11	for	for	ADP
iogr-1185	97	12	fluid	fluid	ADJ
iogr-1185	97	13	flow	flow	NOUN
iogr-1185	97	14	and	and	CCONJ
iogr-1185	97	15	geomechanics	geomechanic	NOUN
iogr-1185	97	16	(	(	PUNCT
iogr-1185	97	17	nassir	nassir	NOUN
iogr-1185	97	18	2013	2013	NUM
iogr-1185	97	19	)	)	PUNCT
iogr-1185	97	20	.	.	PUNCT
iogr-1185	98	1	the	the	DET
iogr-1185	98	2	benefit	benefit	NOUN
iogr-1185	98	3	of	of	ADP
iogr-1185	98	4	adopting	adopt	VERB
iogr-1185	98	5	the	the	DET
iogr-1185	98	6	same	same	ADJ
iogr-1185	98	7	method	method	NOUN
iogr-1185	98	8	is	be	AUX
iogr-1185	98	9	that	that	SCONJ
iogr-1185	98	10	fem	fem	NOUN
iogr-1185	98	11	can	can	AUX
iogr-1185	98	12	easily	easily	ADV
iogr-1185	98	13	handle	handle	VERB
iogr-1185	98	14	general	general	ADJ
iogr-1185	98	15	boundary	boundary	ADJ
iogr-1185	98	16	conditions	condition	NOUN
iogr-1185	98	17	,	,	PUNCT
iogr-1185	98	18	complex	complex	ADJ
iogr-1185	98	19	geometry	geometry	NOUN
iogr-1185	98	20	,	,	PUNCT
iogr-1185	98	21	and	and	CCONJ
iogr-1185	98	22	variable	variable	ADJ
iogr-1185	98	23	material	material	NOUN
iogr-1185	98	24	properties	property	NOUN
iogr-1185	98	25	.	.	PUNCT
iogr-1185	99	1	for	for	ADP
iogr-1185	99	2	most	most	ADV
iogr-1185	99	3	heterogeneous	heterogeneous	ADJ
iogr-1185	99	4	grid	grid	NOUN
iogr-1185	99	5	blocks	block	NOUN
iogr-1185	99	6	,	,	PUNCT
iogr-1185	99	7	permeability	permeability	NOUN
iogr-1185	99	8	is	be	AUX
iogr-1185	99	9	understood	understand	VERB
iogr-1185	99	10	to	to	PART
iogr-1185	99	11	be	be	AUX
iogr-1185	99	12	a	a	DET
iogr-1185	99	13	3×3	3×3	NUM
iogr-1185	99	14	second	second	ADJ
iogr-1185	99	15	-	-	PUNCT
iogr-1185	99	16	order	order	NOUN
iogr-1185	99	17	tensor	tensor	NOUN
iogr-1185	99	18	with	with	ADP
iogr-1185	99	19	stress	stress	NOUN
iogr-1185	99	20	-	-	PUNCT
iogr-1185	99	21	dependent	dependent	ADJ
iogr-1185	99	22	elements	element	NOUN
iogr-1185	99	23	.	.	PUNCT
iogr-1185	100	1	because	because	SCONJ
iogr-1185	100	2	in	in	ADP
iogr-1185	100	3	fem	fem	PROPN
iogr-1185	100	4	,	,	PUNCT
iogr-1185	100	5	the	the	DET
iogr-1185	100	6	governing	govern	VERB
iogr-1185	100	7	differential	differential	ADJ
iogr-1185	100	8	equation	equation	NOUN
iogr-1185	100	9	for	for	ADP
iogr-1185	100	10	flow	flow	NOUN
iogr-1185	100	11	is	be	AUX
iogr-1185	100	12	integrated	integrate	VERB
iogr-1185	100	13	over	over	ADP
iogr-1185	100	14	each	each	DET
iogr-1185	100	15	discretized	discretized	ADJ
iogr-1185	100	16	domain	domain	NOUN
iogr-1185	100	17	,	,	PUNCT
iogr-1185	100	18	permeability	permeability	NOUN
iogr-1185	100	19	can	can	AUX
iogr-1185	100	20	be	be	AUX
iogr-1185	100	21	considered	consider	VERB
iogr-1185	100	22	in	in	ADP
iogr-1185	100	23	its	its	PRON
iogr-1185	100	24	full	full	ADJ
iogr-1185	100	25	tensor	tensor	NOUN
iogr-1185	100	26	form	form	NOUN
iogr-1185	100	27	.	.	PUNCT
iogr-1185	101	1	in	in	ADP
iogr-1185	101	2	fem	fem	PROPN
iogr-1185	101	3	,	,	PUNCT
iogr-1185	101	4	we	we	PRON
iogr-1185	101	5	rewrote	rewrote	VERB
iogr-1185	101	6	eqs	eqs	PROPN
iogr-1185	101	7	.	.	PROPN
iogr-1185	101	8	4	4	NUM
iogr-1185	101	9	and	and	CCONJ
iogr-1185	101	10	7	7	NUM
iogr-1185	101	11	in	in	ADP
iogr-1185	101	12	an	an	DET
iogr-1185	101	13	equivalent	equivalent	ADJ
iogr-1185	101	14	weak	weak	ADJ
iogr-1185	101	15	variation	variation	NOUN
iogr-1185	101	16	form	form	NOUN
iogr-1185	101	17	.	.	PUNCT
iogr-1185	102	1	we	we	PRON
iogr-1185	102	2	partitioned	partition	VERB
iogr-1185	102	3	the	the	DET
iogr-1185	102	4	domain	domain	NOUN
iogr-1185	102	5	into	into	ADP
iogr-1185	102	6	nonoverlapping	nonoverlapping	ADJ
iogr-1185	102	7	elements	element	NOUN
iogr-1185	102	8	,	,	PUNCT
iogr-1185	102	9	ω	ω	NOUN
iogr-1185	102	10	=	=	SYM
iogr-1185	102	11	𝑈𝑗=1	𝑈𝑗=1	ADP
iogr-1185	102	12	𝑛𝑒𝑙𝑒𝑚ω𝑗,	𝑛𝑒𝑙𝑒𝑚ω𝑗,	NOUN
iogr-1185	102	13	…	…	SYM
iogr-1185	102	14	…	…	X
iogr-1185	102	15	…	…	PUNCT
iogr-1185	102	16	…	…	PUNCT
iogr-1185	102	17	…	…	PUNCT
iogr-1185	102	18	…	…	PUNCT
iogr-1185	102	19	…	…	PUNCT
iogr-1185	102	20	…	…	PUNCT
iogr-1185	102	21	…	…	PUNCT
iogr-1185	102	22	…	…	PUNCT
iogr-1185	102	23	…	…	PUNCT
iogr-1185	102	24	…	…	PUNCT
iogr-1185	102	25	…	…	PUNCT
iogr-1185	102	26	…	…	PUNCT
iogr-1185	102	27	…	…	PUNCT
iogr-1185	102	28	…	…	PUNCT
iogr-1185	102	29	…	…	PUNCT
iogr-1185	102	30	…	…	PUNCT
iogr-1185	102	31	…	…	PUNCT
iogr-1185	102	32	…	…	PUNCT
iogr-1185	102	33	…	…	PUNCT
iogr-1185	102	34	…	…	PUNCT
iogr-1185	102	35	…	…	PUNCT
iogr-1185	102	36	…	…	PUNCT
iogr-1185	102	37	…	…	PUNCT
iogr-1185	102	38	…	…	PUNCT
iogr-1185	102	39	…	…	PUNCT
iogr-1185	102	40	…	…	PUNCT
iogr-1185	102	41	…	…	PUNCT
iogr-1185	102	42	…	…	PUNCT
iogr-1185	102	43	…	…	PUNCT
iogr-1185	102	44	…	…	PUNCT
iogr-1185	102	45	…	…	PUNCT
iogr-1185	102	46	…	…	PUNCT
iogr-1185	102	47	..	..	PUNCT
iogr-1185	102	48	(8	(8	NUM
iogr-1185	102	49	)	)	PUNCT
iogr-1185	102	50	where	where	SCONJ
iogr-1185	102	51	nelem	nelem	NOUN
iogr-1185	102	52	is	be	AUX
iogr-1185	102	53	the	the	DET
iogr-1185	102	54	number	number	NOUN
iogr-1185	102	55	of	of	ADP
iogr-1185	102	56	elements	element	NOUN
iogr-1185	102	57	.	.	PUNCT
iogr-1185	103	1	a	a	DET
iogr-1185	103	2	linear	linear	ADJ
iogr-1185	103	3	space	space	NOUN
iogr-1185	103	4	was	be	AUX
iogr-1185	103	5	defined	define	VERB
iogr-1185	103	6	as	as	ADP
iogr-1185	103	7	v={functions	v={function	NOUN
iogr-1185	103	8	v	v	NOUN
iogr-1185	103	9	:	:	PUNCT
iogr-1185	103	10	v	v	NOUN
iogr-1185	103	11	is	be	AUX
iogr-1185	103	12	a	a	DET
iogr-1185	103	13	continuous	continuous	ADJ
iogr-1185	103	14	function	function	NOUN
iogr-1185	103	15	in	in	ADP
iogr-1185	103	16	the	the	DET
iogr-1185	103	17	domain	domain	NOUN
iogr-1185	103	18	ω	ω	NOUN
iogr-1185	103	19	and	and	CCONJ
iogr-1185	103	20	has	have	VERB
iogr-1185	103	21	a	a	DET
iogr-1185	103	22	piecewise	piecewise	NOUN
iogr-1185	103	23	continuous	continuous	ADJ
iogr-1185	103	24	and	and	CCONJ
iogr-1185	103	25	bounded	bound	VERB
iogr-1185	103	26	first	first	ADJ
iogr-1185	103	27	partial	partial	ADJ
iogr-1185	103	28	derivatives	derivative	NOUN
iogr-1185	103	29	in	in	ADP
iogr-1185	103	30	ω	ω	NUM
iogr-1185	103	31	,	,	PUNCT
iogr-1185	103	32	and	and	CCONJ
iogr-1185	103	33	ν(γ	ν(γ	X
iogr-1185	103	34	)	)	PUNCT
iogr-1185	104	1	=	=	SYM
iogr-1185	104	2	0	0	X
iogr-1185	104	3	}	}	PUNCT
iogr-1185	104	4	the	the	DET
iogr-1185	104	5	discrete	discrete	ADJ
iogr-1185	104	6	approximation	approximation	NOUN
iogr-1185	104	7	of	of	ADP
iogr-1185	104	8	the	the	DET
iogr-1185	104	9	continuum	continuum	ADJ
iogr-1185	104	10	problem	problem	NOUN
iogr-1185	104	11	of	of	ADP
iogr-1185	104	12	eqs	eqs	PROPN
iogr-1185	104	13	.	.	PROPN
iogr-1185	104	14	4	4	NUM
iogr-1185	104	15	and	and	CCONJ
iogr-1185	104	16	7	7	NUM
iogr-1185	104	17	could	could	AUX
iogr-1185	104	18	then	then	ADV
iogr-1185	104	19	be	be	AUX
iogr-1185	104	20	given	give	VERB
iogr-1185	104	21	as	as	ADP
iogr-1185	104	22	:	:	PUNCT
iogr-1185	104	23	∫	∫	PROPN
iogr-1185	104	24	∇𝑁𝑢	∇𝑁𝑢	NUM
iogr-1185	104	25	:	:	PUNCT
iogr-1185	104	26	𝜎𝑑ω	𝜎𝑑ω	NOUN
iogr-1185	104	27	=	=	SYM
iogr-1185	104	28	∫	∫	PROPN
iogr-1185	104	29	𝑁𝑢𝜌𝑏𝑔𝑑ω	𝑁𝑢𝜌𝑏𝑔𝑑ω	PROPN
iogr-1185	104	30	+	+	CCONJ
iogr-1185	104	31	∫	∫	PROPN
iogr-1185	104	32	𝑁𝑢𝑡̅𝑑γ	𝑁𝑢𝑡̅𝑑γ	PROPN
iogr-1185	104	33	γωω	γωω	NOUN
iogr-1185	104	34	,	,	PUNCT
iogr-1185	104	35	…	…	PUNCT
iogr-1185	104	36	…	…	PUNCT
iogr-1185	104	37	…	…	PUNCT
iogr-1185	104	38	…	…	PUNCT
iogr-1185	104	39	…	…	PUNCT
iogr-1185	104	40	…	…	PUNCT
iogr-1185	104	41	…	…	PUNCT
iogr-1185	104	42	…	…	PUNCT
iogr-1185	104	43	…	…	PUNCT
iogr-1185	104	44	…	…	PUNCT
iogr-1185	104	45	…	…	PUNCT
iogr-1185	104	46	…	…	PUNCT
iogr-1185	104	47	…	…	PUNCT
iogr-1185	104	48	…	…	PUNCT
iogr-1185	104	49	…	…	PUNCT
iogr-1185	104	50	…	…	PUNCT
iogr-1185	104	51	…	…	PUNCT
iogr-1185	104	52	…	…	PUNCT
iogr-1185	104	53	…	…	PUNCT
iogr-1185	104	54	…	…	PUNCT
iogr-1185	104	55	…	…	PUNCT
iogr-1185	104	56	…	…	PUNCT
iogr-1185	104	57	..	..	PUNCT
iogr-1185	104	58	(	(	PUNCT
iogr-1185	104	59	9	9	X
iogr-1185	104	60	)	)	PUNCT
iogr-1185	104	61	∫	∫	PROPN
iogr-1185	105	1	𝑁𝑝	𝑁𝑝	PROPN
iogr-1185	105	2	𝜕	𝜕	PROPN
iogr-1185	105	3	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	105	4	(	(	PUNCT
iogr-1185	105	5	𝑝	𝑝	PROPN
iogr-1185	105	6	𝑀	𝑀	PROPN
iogr-1185	105	7	+	+	CCONJ
iogr-1185	105	8	𝑏휀𝑏)𝑑ω	𝑏휀𝑏)𝑑ω	ADJ
iogr-1185	105	9	+	+	CCONJ
iogr-1185	105	10	∫	∫	PROPN
iogr-1185	105	11	𝑁𝑝∇𝒗𝑓𝑑ω	𝑁𝑝∇𝒗𝑓𝑑ω	NUM
iogr-1185	105	12	=	=	SYM
iogr-1185	105	13	∫	∫	PROPN
iogr-1185	106	1	𝑁𝑝	𝑁𝑝	NOUN
iogr-1185	106	2	�	�	PROPN
iogr-1185	106	3	̅	̅	NOUN
iogr-1185	106	4	�	�	NOUN
iogr-1185	106	5	𝑑γ	𝑑γ	NOUN
iogr-1185	106	6	.	.	PUNCT
iogr-1185	106	7	γωω	γωω	PROPN
iogr-1185	106	8	..	..	PUNCT
iogr-1185	106	9	…	…	PUNCT
iogr-1185	106	10	…	…	PUNCT
iogr-1185	106	11	…	…	PUNCT
iogr-1185	106	12	…	…	PUNCT
iogr-1185	106	13	…	…	PUNCT
iogr-1185	106	14	…	…	PUNCT
iogr-1185	106	15	…	…	PUNCT
iogr-1185	106	16	…	…	PUNCT
iogr-1185	106	17	…	…	PUNCT
iogr-1185	106	18	…	…	PUNCT
iogr-1185	106	19	…	…	PUNCT
iogr-1185	106	20	…	…	PUNCT
iogr-1185	106	21	…	…	PUNCT
iogr-1185	106	22	…	…	PUNCT
iogr-1185	106	23	…	…	PUNCT
iogr-1185	106	24	…	…	PUNCT
iogr-1185	106	25	…	…	PUNCT
iogr-1185	106	26	.(10	.(10	NUM
iogr-1185	106	27	)	)	PUNCT
iogr-1185	107	1	when	when	SCONJ
iogr-1185	107	2	the	the	DET
iogr-1185	107	3	weight	weight	NOUN
iogr-1185	107	4	coefficients	coefficient	NOUN
iogr-1185	107	5	of	of	ADP
iogr-1185	107	6	solid	solid	ADJ
iogr-1185	107	7	and	and	CCONJ
iogr-1185	107	8	fluid	fluid	NOUN
iogr-1185	107	9	were	be	AUX
iogr-1185	107	10	discretized	discretize	VERB
iogr-1185	107	11	by	by	ADP
iogr-1185	107	12	fem	fem	PROPN
iogr-1185	107	13	,	,	PUNCT
iogr-1185	107	14	the	the	DET
iogr-1185	107	15	variables	variable	NOUN
iogr-1185	107	16	of	of	ADP
iogr-1185	107	17	displacement	displacement	ADJ
iogr-1185	107	18	field	field	NOUN
iogr-1185	107	19	and	and	CCONJ
iogr-1185	107	20	pressure	pressure	NOUN
iogr-1185	107	21	field	field	NOUN
iogr-1185	107	22	were	be	AUX
iogr-1185	107	23	placed	place	VERB
iogr-1185	107	24	on	on	ADP
iogr-1185	107	25	the	the	DET
iogr-1185	107	26	element	element	NOUN
iogr-1185	107	27	vertex	vertex	NOUN
iogr-1185	107	28	.	.	PUNCT
iogr-1185	108	1	the	the	DET
iogr-1185	108	2	form	form	NOUN
iogr-1185	108	3	of	of	ADP
iogr-1185	108	4	the	the	DET
iogr-1185	108	5	coefficient	coefficient	NOUN
iogr-1185	108	6	matrix	matrix	NOUN
iogr-1185	108	7	is	be	AUX
iogr-1185	108	8	shown	show	VERB
iogr-1185	108	9	in	in	ADP
iogr-1185	108	10	figure	figure	NOUN
iogr-1185	108	11	2	2	NUM
iogr-1185	108	12	.	.	PUNCT
iogr-1185	109	1	it	it	PRON
iogr-1185	109	2	can	can	AUX
iogr-1185	109	3	be	be	AUX
iogr-1185	109	4	concluded	conclude	VERB
iogr-1185	109	5	that	that	SCONJ
iogr-1185	109	6	the	the	DET
iogr-1185	109	7	dimension	dimension	NOUN
iogr-1185	109	8	of	of	ADP
iogr-1185	109	9	coefficient	coefficient	NOUN
iogr-1185	109	10	matrix	matrix	NOUN
iogr-1185	109	11	for	for	ADP
iogr-1185	109	12	a	a	DET
iogr-1185	109	13	model	model	NOUN
iogr-1185	109	14	with	with	ADP
iogr-1185	109	15	n	n	PROPN
iogr-1185	109	16	nodes	node	NOUN
iogr-1185	109	17	is	be	AUX
iogr-1185	109	18	4n×4n	4n×4n	NUM
iogr-1185	109	19	,	,	PUNCT
iogr-1185	109	20	with	with	ADP
iogr-1185	109	21	the	the	DET
iogr-1185	109	22	coefficient	coefficient	NOUN
iogr-1185	109	23	matrix	matrix	NOUN
iogr-1185	109	24	being	be	AUX
iogr-1185	109	25	a	a	DET
iogr-1185	109	26	sparse	sparse	ADJ
iogr-1185	109	27	matrix	matrix	NOUN
iogr-1185	109	28	.	.	PUNCT
iogr-1185	110	1	to	to	PART
iogr-1185	110	2	reduce	reduce	VERB
iogr-1185	110	3	the	the	DET
iogr-1185	110	4	storage	storage	NOUN
iogr-1185	110	5	space	space	NOUN
iogr-1185	110	6	,	,	PUNCT
iogr-1185	110	7	the	the	DET
iogr-1185	110	8	coefficient	coefficient	NOUN
iogr-1185	110	9	matrix	matrix	NOUN
iogr-1185	110	10	was	be	AUX
iogr-1185	110	11	stored	store	VERB
iogr-1185	110	12	in	in	ADP
iogr-1185	110	13	compressed	compress	VERB
iogr-1185	110	14	sparse	sparse	ADJ
iogr-1185	110	15	row	row	NOUN
iogr-1185	110	16	(	(	PUNCT
iogr-1185	110	17	csr	csr	NOUN
iogr-1185	110	18	)	)	PUNCT
iogr-1185	110	19	format	format	NOUN
iogr-1185	110	20	.	.	PUNCT
iogr-1185	111	1	the	the	DET
iogr-1185	111	2	calculation	calculation	NOUN
iogr-1185	111	3	unit	unit	NOUN
iogr-1185	111	4	used	use	VERB
iogr-1185	111	5	in	in	ADP
iogr-1185	111	6	this	this	DET
iogr-1185	111	7	study	study	NOUN
iogr-1185	111	8	was	be	AUX
iogr-1185	111	9	hexahedron	hexahedron	NOUN
iogr-1185	111	10	element	element	NOUN
iogr-1185	111	11	,	,	PUNCT
iogr-1185	111	12	as	as	SCONJ
iogr-1185	111	13	shown	show	VERB
iogr-1185	111	14	in	in	ADP
iogr-1185	111	15	figure	figure	NOUN
iogr-1185	111	16	2	2	NUM
iogr-1185	111	17	.	.	NOUN
iogr-1185	111	18	6	6	NUM
iogr-1185	111	19	figure	figure	NOUN
iogr-1185	111	20	2	2	NUM
iogr-1185	111	21	—	—	PUNCT
iogr-1185	111	22	stiffness	stiffness	ADJ
iogr-1185	111	23	matrix	matrix	NOUN
iogr-1185	111	24	form	form	NOUN
iogr-1185	111	25	for	for	ADP
iogr-1185	111	26	fem	fem	PROPN
iogr-1185	111	27	.	.	PROPN
iogr-1185	111	28	proppant	proppant	PROPN
iogr-1185	111	29	transport	transport	NOUN
iogr-1185	111	30	model	model	PROPN
iogr-1185	111	31	.	.	PUNCT
iogr-1185	112	1	proppant	proppant	NOUN
iogr-1185	112	2	transport	transport	NOUN
iogr-1185	112	3	grid	grid	NOUN
iogr-1185	112	4	.	.	PUNCT
iogr-1185	113	1	in	in	ADP
iogr-1185	113	2	a	a	DET
iogr-1185	113	3	quasicontinuous	quasicontinuous	ADJ
iogr-1185	113	4	medium	medium	NOUN
iogr-1185	113	5	,	,	PUNCT
iogr-1185	113	6	the	the	DET
iogr-1185	113	7	flow	flow	NOUN
iogr-1185	113	8	passage	passage	NOUN
iogr-1185	113	9	of	of	ADP
iogr-1185	113	10	proppant	proppant	NOUN
iogr-1185	113	11	does	do	AUX
iogr-1185	113	12	not	not	PART
iogr-1185	113	13	really	really	ADV
iogr-1185	113	14	exist	exist	VERB
iogr-1185	113	15	.	.	PUNCT
iogr-1185	114	1	to	to	PART
iogr-1185	114	2	visualize	visualize	VERB
iogr-1185	114	3	the	the	DET
iogr-1185	114	4	flow	flow	NOUN
iogr-1185	114	5	passage	passage	NOUN
iogr-1185	114	6	of	of	ADP
iogr-1185	114	7	proppant	proppant	NOUN
iogr-1185	114	8	,	,	PUNCT
iogr-1185	114	9	a	a	DET
iogr-1185	114	10	flow	flow	NOUN
iogr-1185	114	11	passage	passage	NOUN
iogr-1185	114	12	of	of	ADP
iogr-1185	114	13	proppant	proppant	NOUN
iogr-1185	114	14	was	be	AUX
iogr-1185	114	15	made	make	VERB
iogr-1185	114	16	equivalent	equivalent	ADJ
iogr-1185	114	17	to	to	ADP
iogr-1185	114	18	the	the	DET
iogr-1185	114	19	fracture	fracture	PROPN
iogr-1185	114	20	element	element	NOUN
iogr-1185	114	21	generated	generate	VERB
iogr-1185	114	22	by	by	ADP
iogr-1185	114	23	the	the	DET
iogr-1185	114	24	above	above	ADJ
iogr-1185	114	25	algorithm	algorithm	NOUN
iogr-1185	114	26	,	,	PUNCT
iogr-1185	114	27	and	and	CCONJ
iogr-1185	114	28	the	the	DET
iogr-1185	114	29	topological	topological	ADJ
iogr-1185	114	30	relationship	relationship	NOUN
iogr-1185	114	31	between	between	ADP
iogr-1185	114	32	these	these	DET
iogr-1185	114	33	flow	flow	NOUN
iogr-1185	114	34	passages	passage	NOUN
iogr-1185	114	35	was	be	AUX
iogr-1185	114	36	established	establish	VERB
iogr-1185	114	37	,	,	PUNCT
iogr-1185	114	38	as	as	SCONJ
iogr-1185	114	39	shown	show	VERB
iogr-1185	114	40	in	in	ADP
iogr-1185	114	41	figure	figure	NOUN
iogr-1185	114	42	3	3	NUM
iogr-1185	114	43	.	.	PUNCT
iogr-1185	114	44	figure	figure	NOUN
iogr-1185	114	45	3	3	NUM
iogr-1185	114	46	—	—	PUNCT
iogr-1185	114	47	a	a	DET
iogr-1185	114	48	schematic	schematic	ADJ
iogr-1185	114	49	illustration	illustration	NOUN
iogr-1185	114	50	of	of	ADP
iogr-1185	114	51	the	the	DET
iogr-1185	114	52	topological	topological	ADJ
iogr-1185	114	53	structure	structure	NOUN
iogr-1185	114	54	of	of	ADP
iogr-1185	114	55	proppant	proppant	NOUN
iogr-1185	114	56	.	.	PUNCT
iogr-1185	115	1	proppant	proppant	NOUN
iogr-1185	115	2	-	-	PUNCT
iogr-1185	115	3	governing	govern	VERB
iogr-1185	115	4	equation	equation	NOUN
iogr-1185	115	5	.	.	PUNCT
iogr-1185	116	1	in	in	ADP
iogr-1185	116	2	the	the	DET
iogr-1185	116	3	framework	framework	NOUN
iogr-1185	116	4	of	of	ADP
iogr-1185	116	5	a	a	DET
iogr-1185	116	6	quasicontinuous	quasicontinuous	ADJ
iogr-1185	116	7	medium	medium	NOUN
iogr-1185	116	8	,	,	PUNCT
iogr-1185	116	9	the	the	DET
iogr-1185	116	10	proppant	proppant	NOUN
iogr-1185	116	11	transport	transport	NOUN
iogr-1185	116	12	process	process	NOUN
iogr-1185	116	13	satisfies	satisfy	VERB
iogr-1185	116	14	the	the	DET
iogr-1185	116	15	mass	mass	ADJ
iogr-1185	116	16	conservation	conservation	NOUN
iogr-1185	116	17	equation	equation	NOUN
iogr-1185	116	18	(	(	PUNCT
iogr-1185	116	19	boronin	boronin	NOUN
iogr-1185	116	20	and	and	CCONJ
iogr-1185	116	21	osiptsov	osiptsov	NOUN
iogr-1185	116	22	2014	2014	NUM
iogr-1185	116	23	):	):	PUNCT
iogr-1185	116	24	𝜕(𝐶𝜙𝐹	𝜕(𝐶𝜙𝐹	PROPN
iogr-1185	116	25	)	)	PUNCT
iogr-1185	117	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	117	2	+	+	NOUN
iogr-1185	117	3	∇(𝐶𝜙𝐹	∇(𝐶𝜙𝐹	NUM
iogr-1185	117	4	�	�	NOUN
iogr-1185	117	5	⃗	⃗	NOUN
iogr-1185	117	6	�	�	PROPN
iogr-1185	117	7	𝑝	𝑝	NOUN
iogr-1185	117	8	)	)	PUNCT
iogr-1185	117	9	=	=	SYM
iogr-1185	117	10	𝑞𝑖𝑛𝑗,	𝑞𝑖𝑛𝑗,	PROPN
iogr-1185	117	11	…	…	X
iogr-1185	117	12	…	…	PUNCT
iogr-1185	117	13	…	…	PUNCT
iogr-1185	117	14	…	…	PUNCT
iogr-1185	117	15	…	…	PUNCT
iogr-1185	117	16	..	..	PUNCT
iogr-1185	117	17	…	…	PUNCT
iogr-1185	117	18	…	…	SYM
iogr-1185	117	19	.	.	NUM
iogr-1185	117	20	…	…	PUNCT
iogr-1185	117	21	…	…	PUNCT
iogr-1185	117	22	…	…	PUNCT
iogr-1185	117	23	…	…	PUNCT
iogr-1185	117	24	…	…	PUNCT
iogr-1185	117	25	…	…	PUNCT
iogr-1185	117	26	…	…	PUNCT
iogr-1185	117	27	…	…	PUNCT
iogr-1185	117	28	…	…	PUNCT
iogr-1185	117	29	…	…	PUNCT
iogr-1185	117	30	…	…	PUNCT
iogr-1185	117	31	…	…	PUNCT
iogr-1185	117	32	…	…	PUNCT
iogr-1185	117	33	…	…	PUNCT
iogr-1185	117	34	…	…	PUNCT
iogr-1185	117	35	…	…	PUNCT
iogr-1185	117	36	…	…	PUNCT
iogr-1185	117	37	…	…	PUNCT
iogr-1185	117	38	…	…	PUNCT
iogr-1185	117	39	…	…	PUNCT
iogr-1185	117	40	…	…	PUNCT
iogr-1185	117	41	(11	(11	X
iogr-1185	117	42	)	)	PUNCT
iogr-1185	117	43	where	where	SCONJ
iogr-1185	117	44	c	c	NOUN
iogr-1185	117	45	is	be	AUX
iogr-1185	117	46	the	the	DET
iogr-1185	117	47	concentration	concentration	NOUN
iogr-1185	117	48	of	of	ADP
iogr-1185	117	49	proppant	proppant	NOUN
iogr-1185	117	50	in	in	ADP
iogr-1185	117	51	the	the	DET
iogr-1185	117	52	fracturing	fracturing	NOUN
iogr-1185	117	53	fluid	fluid	NOUN
iogr-1185	117	54	,	,	PUNCT
iogr-1185	117	55	cm3	cm3	NOUN
iogr-1185	117	56	/	/	SYM
iogr-1185	117	57	cm3	cm3	NOUN
iogr-1185	117	58	;	;	PUNCT
iogr-1185	117	59	∅𝐹	∅𝐹	NOUN
iogr-1185	117	60	is	be	AUX
iogr-1185	117	61	the	the	DET
iogr-1185	117	62	fracture	fracture	ADJ
iogr-1185	117	63	porosity	porosity	NOUN
iogr-1185	117	64	(	(	PUNCT
iogr-1185	117	65	percentage	percentage	NOUN
iogr-1185	117	66	of	of	ADP
iogr-1185	117	67	the	the	DET
iogr-1185	117	68	fracture	fracture	NOUN
iogr-1185	117	69	volume	volume	NOUN
iogr-1185	117	70	in	in	ADP
iogr-1185	117	71	the	the	DET
iogr-1185	117	72	grid	grid	NOUN
iogr-1185	117	73	)	)	PUNCT
iogr-1185	117	74	;	;	PUNCT
iogr-1185	117	75	�	�	PROPN
iogr-1185	117	76	̅	̅	NOUN
iogr-1185	117	77	�	�	NOUN
iogr-1185	117	78	𝑝	𝑝	NOUN
iogr-1185	117	79	is	be	AUX
iogr-1185	117	80	the	the	DET
iogr-1185	117	81	proppant	proppant	ADJ
iogr-1185	117	82	migration	migration	NOUN
iogr-1185	117	83	velocity	velocity	NOUN
iogr-1185	117	84	,	,	PUNCT
iogr-1185	117	85	cm	cm	NOUN
iogr-1185	117	86	/	/	SYM
iogr-1185	117	87	s	s	PROPN
iogr-1185	117	88	;	;	PUNCT
iogr-1185	117	89	and	and	CCONJ
iogr-1185	117	90	𝑞𝑖𝑛𝑗	𝑞𝑖𝑛𝑗	NOUN
iogr-1185	117	91	is	be	AUX
iogr-1185	117	92	the	the	DET
iogr-1185	117	93	proppant	proppant	ADJ
iogr-1185	117	94	injection	injection	NOUN
iogr-1185	117	95	rate	rate	NOUN
iogr-1185	117	96	,	,	PUNCT
iogr-1185	117	97	cm3	cm3	PROPN
iogr-1185	117	98	.	.	PROPN
iogr-1185	117	99	proppant	proppant	NOUN
iogr-1185	117	100	migration	migration	NOUN
iogr-1185	117	101	velocity	velocity	NOUN
iogr-1185	117	102	in	in	ADP
iogr-1185	117	103	a	a	DET
iogr-1185	117	104	fracture	fracture	NOUN
iogr-1185	117	105	is	be	AUX
iogr-1185	117	106	determined	determine	VERB
iogr-1185	117	107	by	by	ADP
iogr-1185	117	108	fracturing	fracture	VERB
iogr-1185	117	109	fluid	fluid	ADJ
iogr-1185	117	110	flowback	flowback	NOUN
iogr-1185	117	111	velocity	velocity	NOUN
iogr-1185	117	112	(	(	PUNCT
iogr-1185	117	113	blyton	blyton	PROPN
iogr-1185	117	114	et	et	PROPN
iogr-1185	117	115	al	al	PROPN
iogr-1185	117	116	.	.	PROPN
iogr-1185	117	117	2015	2015	NUM
iogr-1185	117	118	):	):	PUNCT
iogr-1185	117	119	7	7	NUM
iogr-1185	117	120	�	�	NOUN
iogr-1185	117	121	̅	̅	NOUN
iogr-1185	117	122	�	�	NOUN
iogr-1185	117	123	𝑝	𝑝	NOUN
iogr-1185	117	124	=	=	PUNCT
iogr-1185	117	125	𝑘𝑟𝑒𝑡	𝑘𝑟𝑒𝑡	NOUN
iogr-1185	117	126	�	�	PROPN
iogr-1185	117	127	̅	̅	NOUN
iogr-1185	117	128	�	�	NOUN
iogr-1185	117	129	𝑓	𝑓	PRON
iogr-1185	117	130	,	,	PUNCT
iogr-1185	117	131	...	...	PUNCT
iogr-1185	117	132	…	…	PUNCT
iogr-1185	117	133	…	…	PUNCT
iogr-1185	117	134	…	…	PUNCT
iogr-1185	117	135	…	…	PUNCT
iogr-1185	117	136	…	…	PUNCT
iogr-1185	117	137	…	…	PUNCT
iogr-1185	117	138	…	…	PUNCT
iogr-1185	117	139	…	…	PUNCT
iogr-1185	117	140	…	…	PUNCT
iogr-1185	117	141	…	…	PUNCT
iogr-1185	117	142	…	…	PUNCT
iogr-1185	117	143	…	…	PUNCT
iogr-1185	117	144	…	…	PUNCT
iogr-1185	117	145	…	…	PUNCT
iogr-1185	117	146	…	…	PUNCT
iogr-1185	117	147	…	…	PUNCT
iogr-1185	117	148	…	…	PUNCT
iogr-1185	117	149	…	…	PUNCT
iogr-1185	117	150	…	…	PUNCT
iogr-1185	117	151	…	…	PUNCT
iogr-1185	117	152	…	…	PUNCT
iogr-1185	117	153	…	…	PUNCT
iogr-1185	117	154	…	…	PUNCT
iogr-1185	117	155	…	…	PUNCT
iogr-1185	117	156	…	…	PUNCT
iogr-1185	117	157	…	…	PUNCT
iogr-1185	117	158	…	…	PUNCT
iogr-1185	117	159	…	…	PUNCT
iogr-1185	117	160	…	…	PUNCT
iogr-1185	117	161	…	…	PUNCT
iogr-1185	117	162	…	…	PUNCT
iogr-1185	117	163	…	…	PUNCT
iogr-1185	117	164	…	…	PUNCT
iogr-1185	117	165	…	…	PUNCT
iogr-1185	117	166	(	(	PUNCT
iogr-1185	117	167	12	12	NUM
iogr-1185	117	168	)	)	PUNCT
iogr-1185	117	169	where	where	SCONJ
iogr-1185	117	170	𝑘𝑟𝑒𝑡	𝑘𝑟𝑒𝑡	NOUN
iogr-1185	117	171	is	be	AUX
iogr-1185	117	172	the	the	DET
iogr-1185	117	173	retardation	retardation	NOUN
iogr-1185	117	174	factor	factor	NOUN
iogr-1185	117	175	derived	derive	VERB
iogr-1185	117	176	from	from	ADP
iogr-1185	117	177	an	an	DET
iogr-1185	117	178	experiment	experiment	NOUN
iogr-1185	117	179	of	of	ADP
iogr-1185	117	180	fluid	fluid	ADJ
iogr-1185	117	181	-	-	PUNCT
iogr-1185	117	182	particle	particle	NOUN
iogr-1185	117	183	flow	flow	NOUN
iogr-1185	117	184	considering	consider	VERB
iogr-1185	117	185	the	the	DET
iogr-1185	117	186	drag	drag	NOUN
iogr-1185	117	187	force	force	NOUN
iogr-1185	117	188	,	,	PUNCT
iogr-1185	117	189	inertia	inertia	NOUN
iogr-1185	117	190	force	force	NOUN
iogr-1185	117	191	,	,	PUNCT
iogr-1185	117	192	and	and	CCONJ
iogr-1185	117	193	particle	particle	NOUN
iogr-1185	117	194	-	-	PUNCT
iogr-1185	117	195	to	to	ADP
iogr-1185	117	196	-	-	PUNCT
iogr-1185	117	197	particle	particle	NOUN
iogr-1185	117	198	and	and	CCONJ
iogr-1185	117	199	particle	particle	NOUN
iogr-1185	117	200	-	-	PUNCT
iogr-1185	117	201	to	to	ADP
iogr-1185	117	202	-	-	PUNCT
iogr-1185	117	203	wall	wall	NOUN
iogr-1185	117	204	collision	collision	NOUN
iogr-1185	117	205	forces	force	NOUN
iogr-1185	117	206	.	.	PUNCT
iogr-1185	118	1	𝑘𝑟𝑒𝑡	𝑘𝑟𝑒𝑡	NOUN
iogr-1185	118	2	=	=	NOUN
iogr-1185	118	3	1	1	NUM
iogr-1185	118	4	+	+	CCONJ
iogr-1185	118	5	(	(	PUNCT
iogr-1185	118	6	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	118	7	𝑤𝑒	𝑤𝑒	NOUN
iogr-1185	118	8	)	)	PUNCT
iogr-1185	118	9	−	−	PROPN
iogr-1185	119	1	2.02	2.02	NUM
iogr-1185	119	2	(	(	PUNCT
iogr-1185	119	3	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	119	4	𝑤𝑒	𝑤𝑒	NOUN
iogr-1185	119	5	)	)	PUNCT
iogr-1185	119	6	2	2	NUM
iogr-1185	119	7	,	,	PUNCT
iogr-1185	119	8	…	…	PUNCT
iogr-1185	119	9	…	…	PUNCT
iogr-1185	119	10	…	…	PUNCT
iogr-1185	119	11	…	…	PUNCT
iogr-1185	119	12	..	..	PUNCT
iogr-1185	119	13	…	…	PUNCT
iogr-1185	119	14	…	…	PUNCT
iogr-1185	119	15	…	…	PUNCT
iogr-1185	119	16	…	…	PUNCT
iogr-1185	119	17	…	…	PUNCT
iogr-1185	119	18	…	…	PUNCT
iogr-1185	119	19	…	…	PUNCT
iogr-1185	119	20	…	…	PUNCT
iogr-1185	119	21	…	…	PUNCT
iogr-1185	119	22	…	…	PUNCT
iogr-1185	119	23	…	…	PUNCT
iogr-1185	119	24	…	…	PUNCT
iogr-1185	119	25	…	…	PUNCT
iogr-1185	119	26	…	…	PUNCT
iogr-1185	119	27	…	…	PUNCT
iogr-1185	119	28	…	…	PUNCT
iogr-1185	119	29	…	…	PUNCT
iogr-1185	119	30	…	…	PUNCT
iogr-1185	119	31	…	…	PUNCT
iogr-1185	119	32	…	…	PUNCT
iogr-1185	119	33	…	…	PUNCT
iogr-1185	119	34	…	…	PUNCT
iogr-1185	119	35	..	..	PUNCT
iogr-1185	119	36	(	(	PUNCT
iogr-1185	119	37	13	13	NUM
iogr-1185	119	38	)	)	PUNCT
iogr-1185	119	39	where	where	SCONJ
iogr-1185	119	40	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	119	41	is	be	AUX
iogr-1185	119	42	the	the	DET
iogr-1185	119	43	diameter	diameter	NOUN
iogr-1185	119	44	of	of	ADP
iogr-1185	119	45	proppant	proppant	NOUN
iogr-1185	119	46	,	,	PUNCT
iogr-1185	119	47	cm	cm	NOUN
iogr-1185	119	48	;	;	PUNCT
iogr-1185	119	49	and	and	CCONJ
iogr-1185	119	50	we	we	PRON
iogr-1185	119	51	is	be	AUX
iogr-1185	119	52	the	the	DET
iogr-1185	119	53	effective	effective	ADJ
iogr-1185	119	54	fracture	fracture	NOUN
iogr-1185	119	55	width	width	NOUN
iogr-1185	119	56	,	,	PUNCT
iogr-1185	119	57	cm	cm	PROPN
iogr-1185	119	58	,	,	PUNCT
iogr-1185	119	59	which	which	PRON
iogr-1185	119	60	is	be	AUX
iogr-1185	119	61	related	relate	VERB
iogr-1185	119	62	to	to	ADP
iogr-1185	119	63	the	the	DET
iogr-1185	119	64	proppant	proppant	ADJ
iogr-1185	119	65	diameter	diameter	NOUN
iogr-1185	119	66	and	and	CCONJ
iogr-1185	119	67	the	the	DET
iogr-1185	119	68	concentration	concentration	NOUN
iogr-1185	119	69	.	.	PUNCT
iogr-1185	120	1	1	1	NUM
iogr-1185	120	2	𝑤𝑒	𝑤𝑒	NOUN
iogr-1185	120	3	2	2	NUM
iogr-1185	120	4	=	=	SYM
iogr-1185	120	5	1.411	1.411	NUM
iogr-1185	120	6	(	(	PUNCT
iogr-1185	120	7	1	1	NUM
iogr-1185	120	8	𝑑𝑝	𝑑𝑝	NUM
iogr-1185	120	9	2	2	NUM
iogr-1185	120	10	−	−	NUM
iogr-1185	120	11	1	1	NUM
iogr-1185	120	12	𝑤2	𝑤2	NOUN
iogr-1185	120	13	)	)	PUNCT
iogr-1185	120	14	𝐶0.8,	𝐶0.8,	PROPN
iogr-1185	120	15	…	…	PUNCT
iogr-1185	120	16	…	…	PUNCT
iogr-1185	120	17	…	…	PUNCT
iogr-1185	120	18	…	…	PUNCT
iogr-1185	120	19	…	…	PUNCT
iogr-1185	120	20	…	…	PUNCT
iogr-1185	120	21	…	…	SYM
iogr-1185	120	22	.	.	NUM
iogr-1185	120	23	…	…	PUNCT
iogr-1185	120	24	…	…	PUNCT
iogr-1185	120	25	…	…	PUNCT
iogr-1185	120	26	…	…	PUNCT
iogr-1185	120	27	…	…	PUNCT
iogr-1185	120	28	…	…	PUNCT
iogr-1185	120	29	…	…	PUNCT
iogr-1185	120	30	…	…	PUNCT
iogr-1185	120	31	…	…	PUNCT
iogr-1185	120	32	…	…	PUNCT
iogr-1185	120	33	…	…	PUNCT
iogr-1185	120	34	…	…	PUNCT
iogr-1185	120	35	…	…	PUNCT
iogr-1185	120	36	…	…	PUNCT
iogr-1185	120	37	…	…	PUNCT
iogr-1185	120	38	…	…	PUNCT
iogr-1185	120	39	…	…	PUNCT
iogr-1185	120	40	…	…	PUNCT
iogr-1185	120	41	…	…	PUNCT
iogr-1185	120	42	…	…	PUNCT
iogr-1185	120	43	......	......	PUNCT
iogr-1185	120	44	(14	(14	X
iogr-1185	120	45	)	)	PUNCT
iogr-1185	120	46	where	where	SCONJ
iogr-1185	120	47	w	w	NOUN
iogr-1185	120	48	is	be	AUX
iogr-1185	120	49	the	the	DET
iogr-1185	120	50	fracture	fracture	ADJ
iogr-1185	120	51	width	width	NOUN
iogr-1185	120	52	,	,	PUNCT
iogr-1185	120	53	cm	cm	NOUN
iogr-1185	120	54	.	.	PUNCT
iogr-1185	121	1	there	there	PRON
iogr-1185	121	2	is	be	VERB
iogr-1185	121	3	an	an	DET
iogr-1185	121	4	additional	additional	ADJ
iogr-1185	121	5	settling	settling	NOUN
iogr-1185	121	6	velocity	velocity	NOUN
iogr-1185	121	7	of	of	ADP
iogr-1185	121	8	the	the	DET
iogr-1185	121	9	proppant	proppant	NOUN
iogr-1185	121	10	in	in	ADP
iogr-1185	121	11	the	the	DET
iogr-1185	121	12	vertical	vertical	ADJ
iogr-1185	121	13	direction	direction	NOUN
iogr-1185	121	14	:	:	PUNCT
iogr-1185	121	15	{	{	PUNCT
iogr-1185	121	16	𝑢𝑝,𝑥	𝑢𝑝,𝑥	PUNCT
iogr-1185	121	17	=	=	SYM
iogr-1185	121	18	𝑘𝑟𝑒𝑡𝑢𝑓,𝑥	𝑘𝑟𝑒𝑡𝑢𝑓,𝑥	NOUN
iogr-1185	121	19	𝑢𝑝,𝑦	𝑢𝑝,𝑦	NOUN
iogr-1185	121	20	=	=	SYM
iogr-1185	121	21	𝑘𝑟𝑒𝑡𝑢𝑓,𝑦	𝑘𝑟𝑒𝑡𝑢𝑓,𝑦	PROPN
iogr-1185	121	22	𝑢𝑝,𝑧	𝑢𝑝,𝑧	X
iogr-1185	121	23	=	=	X
iogr-1185	121	24	𝑘𝑟𝑒𝑡𝑢𝑓,𝑧	𝑘𝑟𝑒𝑡𝑢𝑓,𝑧	PROPN
iogr-1185	121	25	+	+	CCONJ
iogr-1185	121	26	𝑢𝑠	𝑢𝑠	PROPN
iogr-1185	121	27	,	,	PUNCT
iogr-1185	121	28	.	.	PUNCT
iogr-1185	122	1	…	…	PUNCT
iogr-1185	122	2	…	…	PUNCT
iogr-1185	122	3	…	…	SYM
iogr-1185	122	4	.	.	NUM
iogr-1185	123	1	…	…	PUNCT
iogr-1185	123	2	…	…	PUNCT
iogr-1185	123	3	…	…	PUNCT
iogr-1185	123	4	…	…	PUNCT
iogr-1185	123	5	…	…	PUNCT
iogr-1185	123	6	…	…	PUNCT
iogr-1185	123	7	…	…	PUNCT
iogr-1185	123	8	…	…	PUNCT
iogr-1185	123	9	…	…	PUNCT
iogr-1185	123	10	…	…	PUNCT
iogr-1185	123	11	…	…	PUNCT
iogr-1185	123	12	…	…	PUNCT
iogr-1185	123	13	…	…	PUNCT
iogr-1185	123	14	…	…	PUNCT
iogr-1185	123	15	…	…	PUNCT
iogr-1185	123	16	…	…	PUNCT
iogr-1185	123	17	…	…	PUNCT
iogr-1185	123	18	…	…	PUNCT
iogr-1185	123	19	…	…	PUNCT
iogr-1185	123	20	…	…	PUNCT
iogr-1185	123	21	…	…	PUNCT
iogr-1185	123	22	…	…	PUNCT
iogr-1185	123	23	…	…	PUNCT
iogr-1185	123	24	…	…	PUNCT
iogr-1185	123	25	…	…	PUNCT
iogr-1185	123	26	…	…	PUNCT
iogr-1185	123	27	…	…	PUNCT
iogr-1185	123	28	(15	(15	X
iogr-1185	123	29	)	)	PUNCT
iogr-1185	123	30	where	where	SCONJ
iogr-1185	123	31	𝑢𝑠	𝑢𝑠	PROPN
iogr-1185	123	32	is	be	AUX
iogr-1185	123	33	the	the	DET
iogr-1185	123	34	proppant	proppant	NOUN
iogr-1185	123	35	-	-	PUNCT
iogr-1185	123	36	settling	settle	VERB
iogr-1185	123	37	velocity	velocity	NOUN
iogr-1185	123	38	,	,	PUNCT
iogr-1185	123	39	cm	cm	NOUN
iogr-1185	123	40	/	/	SYM
iogr-1185	123	41	s	s	PROPN
iogr-1185	123	42	,	,	PUNCT
iogr-1185	123	43	which	which	PRON
iogr-1185	123	44	is	be	AUX
iogr-1185	123	45	generally	generally	ADV
iogr-1185	123	46	used	use	VERB
iogr-1185	123	47	as	as	ADP
iogr-1185	123	48	the	the	DET
iogr-1185	123	49	corrected	correct	VERB
iogr-1185	123	50	velocity	velocity	NOUN
iogr-1185	123	51	based	base	VERB
iogr-1185	123	52	on	on	ADP
iogr-1185	123	53	stokes	stokes	PROPN
iogr-1185	123	54	’	'	PUNCT
iogr-1185	123	55	law	law	NOUN
iogr-1185	123	56	:	:	PUNCT
iogr-1185	123	57	𝑢𝑠	𝑢𝑠	PROPN
iogr-1185	123	58	=	=	SYM
iogr-1185	123	59	𝑢𝑠𝑡𝑜𝑘𝑒𝑠𝑓(𝑅𝑒𝑝	𝑢𝑠𝑡𝑜𝑘𝑒𝑠𝑓(𝑅𝑒𝑝	PROPN
iogr-1185	123	60	,	,	PUNCT
iogr-1185	123	61	𝐶	𝐶	PROPN
iogr-1185	123	62	)	)	PUNCT
iogr-1185	124	1	=	=	PROPN
iogr-1185	124	2	𝑔𝐷𝑝	𝑔𝐷𝑝	PROPN
iogr-1185	124	3	2(𝜌𝑝−𝜌𝑓	2(𝜌𝑝−𝜌𝑓	NUM
iogr-1185	124	4	)	)	PUNCT
iogr-1185	124	5	18𝜂𝑓	18𝜂𝑓	PROPN
iogr-1185	124	6	𝑓(𝑅𝑒𝑝	𝑓(𝑅𝑒𝑝	PROPN
iogr-1185	124	7	,	,	PUNCT
iogr-1185	124	8	𝐶	𝐶	PROPN
iogr-1185	124	9	,	,	PUNCT
iogr-1185	124	10	𝑤𝐹),	𝑤𝐹),	PROPN
iogr-1185	124	11	…	…	PUNCT
iogr-1185	124	12	…	…	PUNCT
iogr-1185	124	13	…	…	SYM
iogr-1185	124	14	.	.	NUM
iogr-1185	124	15	…	…	PUNCT
iogr-1185	124	16	…	…	PUNCT
iogr-1185	124	17	…	…	PUNCT
iogr-1185	124	18	…	…	PUNCT
iogr-1185	124	19	…	…	PUNCT
iogr-1185	124	20	…	…	PUNCT
iogr-1185	124	21	…	…	PUNCT
iogr-1185	124	22	…	…	PUNCT
iogr-1185	124	23	…	…	PUNCT
iogr-1185	124	24	…	…	PUNCT
iogr-1185	124	25	…	…	PUNCT
iogr-1185	124	26	…	…	PUNCT
iogr-1185	124	27	…	…	PUNCT
iogr-1185	124	28	…	…	PUNCT
iogr-1185	124	29	…	…	PUNCT
iogr-1185	124	30	.(16	.(16	NUM
iogr-1185	124	31	)	)	PUNCT
iogr-1185	124	32	where	where	SCONJ
iogr-1185	124	33	dp	dp	NOUN
iogr-1185	124	34	is	be	AUX
iogr-1185	124	35	the	the	DET
iogr-1185	124	36	proppant	proppant	ADJ
iogr-1185	124	37	diameter	diameter	NOUN
iogr-1185	124	38	,	,	PUNCT
iogr-1185	124	39	cm	cm	NOUN
iogr-1185	124	40	;	;	PUNCT
iogr-1185	124	41	𝜌𝑝	𝜌𝑝	NUM
iogr-1185	124	42	and	and	CCONJ
iogr-1185	124	43	𝜌𝑓	𝜌𝑓	PRON
iogr-1185	124	44	are	be	AUX
iogr-1185	124	45	the	the	DET
iogr-1185	124	46	particle	particle	NOUN
iogr-1185	124	47	and	and	CCONJ
iogr-1185	124	48	fluid	fluid	ADJ
iogr-1185	124	49	densities	density	NOUN
iogr-1185	124	50	,	,	PUNCT
iogr-1185	124	51	g	g	NOUN
iogr-1185	124	52	/	/	SYM
iogr-1185	124	53	cm3	cm3	NOUN
iogr-1185	124	54	,	,	PUNCT
iogr-1185	124	55	respectively	respectively	ADV
iogr-1185	124	56	;	;	PUNCT
iogr-1185	124	57	𝜂𝑓is	𝜂𝑓is	PROPN
iogr-1185	124	58	the	the	DET
iogr-1185	124	59	hydrodynamic	hydrodynamic	ADJ
iogr-1185	124	60	viscosity	viscosity	NOUN
iogr-1185	124	61	,	,	PUNCT
iogr-1185	124	62	mpa.s	mpa.s	PROPN
iogr-1185	124	63	;	;	PUNCT
iogr-1185	124	64	and	and	CCONJ
iogr-1185	124	65	𝑓(𝑅𝑒𝑝	𝑓(𝑅𝑒𝑝	PROPN
iogr-1185	124	66	,	,	PUNCT
iogr-1185	124	67	𝐶	𝐶	PROPN
iogr-1185	124	68	,	,	PUNCT
iogr-1185	124	69	𝑤𝐹	𝑤𝐹	NOUN
iogr-1185	124	70	)	)	PUNCT
iogr-1185	124	71	is	be	AUX
iogr-1185	124	72	the	the	DET
iogr-1185	124	73	correction	correction	NOUN
iogr-1185	124	74	factor	factor	NOUN
iogr-1185	124	75	,	,	PUNCT
iogr-1185	124	76	which	which	PRON
iogr-1185	124	77	is	be	AUX
iogr-1185	124	78	related	relate	VERB
iogr-1185	124	79	to	to	ADP
iogr-1185	124	80	the	the	DET
iogr-1185	124	81	particle	particle	NOUN
iogr-1185	124	82	reynolds	reynolds	PROPN
iogr-1185	124	83	number	number	PROPN
iogr-1185	124	84	,	,	PUNCT
iogr-1185	124	85	concentration	concentration	NOUN
iogr-1185	124	86	,	,	PUNCT
iogr-1185	124	87	and	and	CCONJ
iogr-1185	124	88	fracture	fracture	NOUN
iogr-1185	124	89	width	width	NOUN
iogr-1185	124	90	.	.	PUNCT
iogr-1185	125	1	it	it	PRON
iogr-1185	125	2	is	be	AUX
iogr-1185	125	3	commonly	commonly	ADV
iogr-1185	125	4	believed	believe	VERB
iogr-1185	125	5	that	that	SCONJ
iogr-1185	125	6	the	the	DET
iogr-1185	125	7	reynolds	reynolds	PROPN
iogr-1185	125	8	number	number	NOUN
iogr-1185	125	9	,	,	PUNCT
iogr-1185	125	10	particle	particle	NOUN
iogr-1185	125	11	concentration	concentration	NOUN
iogr-1185	125	12	,	,	PUNCT
iogr-1185	125	13	and	and	CCONJ
iogr-1185	125	14	fracture	fracture	NOUN
iogr-1185	125	15	width	width	NOUN
iogr-1185	125	16	are	be	AUX
iogr-1185	125	17	independent	independent	ADJ
iogr-1185	125	18	,	,	PUNCT
iogr-1185	125	19	so	so	ADV
iogr-1185	125	20	𝑓(𝑅𝑒𝑝	𝑓(𝑅𝑒𝑝	PROPN
iogr-1185	125	21	,	,	PUNCT
iogr-1185	125	22	𝐶	𝐶	PROPN
iogr-1185	125	23	,	,	PUNCT
iogr-1185	125	24	𝑤𝑓	𝑤𝑓	ADJ
iogr-1185	125	25	)	)	PUNCT
iogr-1185	125	26	can	can	AUX
iogr-1185	125	27	be	be	AUX
iogr-1185	125	28	expressed	express	VERB
iogr-1185	125	29	as	as	ADP
iogr-1185	125	30	:	:	PUNCT
iogr-1185	125	31	𝑓(𝑅𝑒𝑝	𝑓(𝑅𝑒𝑝	PROPN
iogr-1185	125	32	,	,	PUNCT
iogr-1185	125	33	𝐶	𝐶	PROPN
iogr-1185	125	34	,	,	PUNCT
iogr-1185	125	35	𝑤𝑓	𝑤𝑓	ADJ
iogr-1185	125	36	)	)	PUNCT
iogr-1185	125	37	=	=	SYM
iogr-1185	125	38	𝑓1(𝑅𝑒𝑝)𝑓2(𝐶)𝑓3(𝑤𝑓),	𝑓1(𝑅𝑒𝑝)𝑓2(𝐶)𝑓3(𝑤𝑓),	VERB
iogr-1185	125	39	…	…	SYM
iogr-1185	125	40	…	…	PUNCT
iogr-1185	125	41	…	…	PUNCT
iogr-1185	125	42	…	…	PUNCT
iogr-1185	125	43	…	…	PUNCT
iogr-1185	125	44	…	…	PUNCT
iogr-1185	125	45	…	…	PUNCT
iogr-1185	125	46	…	…	PUNCT
iogr-1185	125	47	…	…	PUNCT
iogr-1185	125	48	…	…	PUNCT
iogr-1185	125	49	…	…	PUNCT
iogr-1185	125	50	…	…	PUNCT
iogr-1185	125	51	…	…	PUNCT
iogr-1185	125	52	…	…	PUNCT
iogr-1185	125	53	…	…	PUNCT
iogr-1185	125	54	…	…	PUNCT
iogr-1185	125	55	…	…	PUNCT
iogr-1185	125	56	…	…	PUNCT
iogr-1185	125	57	…	…	PUNCT
iogr-1185	125	58	…	…	PUNCT
iogr-1185	125	59	…	…	PUNCT
iogr-1185	125	60	…	…	PUNCT
iogr-1185	125	61	…	…	PUNCT
iogr-1185	125	62	…	…	PUNCT
iogr-1185	125	63	(17	(17	ADJ
iogr-1185	125	64	)	)	PUNCT
iogr-1185	125	65	𝑓2(𝐶	𝑓2(𝐶	NOUN
iogr-1185	125	66	)	)	PUNCT
iogr-1185	125	67	=	=	SYM
iogr-1185	125	68	𝑒−5.9𝑐,	𝑒−5.9𝑐,	PROPN
iogr-1185	125	69	…	…	SYM
iogr-1185	125	70	…	…	PUNCT
iogr-1185	125	71	…	…	PUNCT
iogr-1185	125	72	…	…	PUNCT
iogr-1185	125	73	…	…	PUNCT
iogr-1185	125	74	…	…	PUNCT
iogr-1185	125	75	…	…	PUNCT
iogr-1185	125	76	…	…	PUNCT
iogr-1185	125	77	…	…	PUNCT
iogr-1185	125	78	…	…	PUNCT
iogr-1185	125	79	…	…	PUNCT
iogr-1185	125	80	…	…	PUNCT
iogr-1185	125	81	…	…	PUNCT
iogr-1185	125	82	…	…	PUNCT
iogr-1185	125	83	…	…	PUNCT
iogr-1185	125	84	…	…	PUNCT
iogr-1185	125	85	…	…	PUNCT
iogr-1185	125	86	…	…	PUNCT
iogr-1185	125	87	…	…	PUNCT
iogr-1185	125	88	…	…	PUNCT
iogr-1185	125	89	…	…	PUNCT
iogr-1185	125	90	…	…	PUNCT
iogr-1185	125	91	…	…	PUNCT
iogr-1185	125	92	…	…	PUNCT
iogr-1185	125	93	…	…	PUNCT
iogr-1185	125	94	…	…	PUNCT
iogr-1185	125	95	…	…	PUNCT
iogr-1185	125	96	…	…	PUNCT
iogr-1185	125	97	…	…	PUNCT
iogr-1185	125	98	…	…	PUNCT
iogr-1185	125	99	…	…	PUNCT
iogr-1185	125	100	…	…	PUNCT
iogr-1185	125	101	…	…	SYM
iogr-1185	125	102	.(18	.(18	NUM
iogr-1185	125	103	)	)	PUNCT
iogr-1185	125	104	𝑓3(𝑤𝑓	𝑓3(𝑤𝑓	PROPN
iogr-1185	125	105	)	)	PUNCT
iogr-1185	125	106	=	=	SYM
iogr-1185	125	107	∑	∑	PUNCT
iogr-1185	125	108	𝑅𝑖	𝑅𝑖	PROPN
iogr-1185	125	109	(	(	PUNCT
iogr-1185	125	110	𝐷𝑝	𝐷𝑝	PROPN
iogr-1185	125	111	𝑤𝑓	𝑤𝑓	PROPN
iogr-1185	125	112	)	)	PUNCT
iogr-1185	125	113	𝑖	𝑖	SYM
iogr-1185	125	114	𝑛	𝑛	DET
iogr-1185	125	115	𝑖=0	𝑖=0	PROPN
iogr-1185	125	116	,	,	PUNCT
iogr-1185	125	117	…	…	PUNCT
iogr-1185	125	118	…	…	PUNCT
iogr-1185	125	119	…	…	PUNCT
iogr-1185	125	120	…	…	PUNCT
iogr-1185	125	121	…	…	PUNCT
iogr-1185	125	122	…	…	PUNCT
iogr-1185	125	123	…	…	PUNCT
iogr-1185	125	124	…	…	PUNCT
iogr-1185	125	125	…	…	PUNCT
iogr-1185	125	126	…	…	PUNCT
iogr-1185	125	127	…	…	PUNCT
iogr-1185	125	128	…	…	PUNCT
iogr-1185	125	129	…	…	PUNCT
iogr-1185	125	130	…	…	PUNCT
iogr-1185	125	131	…	…	PUNCT
iogr-1185	125	132	…	…	PUNCT
iogr-1185	125	133	…	…	PUNCT
iogr-1185	125	134	…	…	PUNCT
iogr-1185	125	135	…	…	PUNCT
iogr-1185	125	136	…	…	PUNCT
iogr-1185	125	137	…	…	PUNCT
iogr-1185	125	138	…	…	PUNCT
iogr-1185	125	139	…	…	PUNCT
iogr-1185	125	140	…	…	PUNCT
iogr-1185	125	141	…	…	PUNCT
iogr-1185	125	142	…	…	PUNCT
iogr-1185	125	143	…	…	PUNCT
iogr-1185	125	144	…	…	PUNCT
iogr-1185	125	145	…	…	PUNCT
iogr-1185	125	146	..	..	PUNCT
iogr-1185	125	147	(	(	PUNCT
iogr-1185	125	148	19	19	NUM
iogr-1185	125	149	)	)	PUNCT
iogr-1185	125	150	where	where	SCONJ
iogr-1185	125	151	ri	ri	PROPN
iogr-1185	125	152	is	be	AUX
iogr-1185	125	153	a	a	DET
iogr-1185	125	154	calibrating	calibrate	VERB
iogr-1185	125	155	model	model	NOUN
iogr-1185	125	156	parameter	parameter	NOUN
iogr-1185	125	157	.	.	PUNCT
iogr-1185	126	1	𝑓1(𝑅𝑒𝑝	𝑓1(𝑅𝑒𝑝	ADJ
iogr-1185	126	2	)	)	PUNCT
iogr-1185	126	3	has	have	VERB
iogr-1185	126	4	no	no	DET
iogr-1185	126	5	implicit	implicit	ADJ
iogr-1185	126	6	expression	expression	NOUN
iogr-1185	126	7	.	.	PUNCT
iogr-1185	127	1	it	it	PRON
iogr-1185	127	2	is	be	AUX
iogr-1185	127	3	usually	usually	ADV
iogr-1185	127	4	calculated	calculate	VERB
iogr-1185	127	5	iteratively	iteratively	ADV
iogr-1185	127	6	based	base	VERB
iogr-1185	127	7	on	on	ADP
iogr-1185	127	8	the	the	DET
iogr-1185	127	9	traction	traction	NOUN
iogr-1185	127	10	model	model	NOUN
iogr-1185	127	11	and	and	CCONJ
iogr-1185	127	12	gravity	gravity	NOUN
iogr-1185	127	13	balance	balance	NOUN
iogr-1185	127	14	as	as	ADP
iogr-1185	127	15	:	:	PUNCT
iogr-1185	127	16	𝑑	𝑑	PROPN
iogr-1185	127	17	�	�	PROPN
iogr-1185	127	18	⃗⃗	⃗⃗	PROPN
iogr-1185	127	19	�	�	PROPN
iogr-1185	127	20	𝑝	𝑝	PROPN
iogr-1185	127	21	𝑑𝑡	𝑑𝑡	ADP
iogr-1185	127	22	=	=	PUNCT
iogr-1185	127	23	𝐷𝑝(	𝐷𝑝(	PROPN
iogr-1185	127	24	�	�	PROPN
iogr-1185	127	25	⃗	⃗	NOUN
iogr-1185	127	26	�	�	PROPN
iogr-1185	127	27	𝑓	𝑓	DET
iogr-1185	127	28	−	−	PROPN
iogr-1185	127	29	�	�	PROPN
iogr-1185	127	30	⃗	⃗	NOUN
iogr-1185	127	31	�	�	PROPN
iogr-1185	127	32	𝑝	𝑝	PROPN
iogr-1185	127	33	)	)	PUNCT
iogr-1185	127	34	+	+	CCONJ
iogr-1185	127	35	(	(	PUNCT
iogr-1185	127	36	1	1	NUM
iogr-1185	127	37	+	+	NUM
iogr-1185	127	38	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	127	39	𝜌𝑝	𝜌𝑝	NOUN
iogr-1185	127	40	)	)	PUNCT
iogr-1185	127	41	𝑔	𝑔	PROPN
iogr-1185	127	42	=	=	PUNCT
iogr-1185	127	43	0,	0,	NUM
iogr-1185	127	44	…	…	SYM
iogr-1185	127	45	…	…	PUNCT
iogr-1185	127	46	…	…	PUNCT
iogr-1185	127	47	…	…	PUNCT
iogr-1185	127	48	…	…	PUNCT
iogr-1185	127	49	…	…	PUNCT
iogr-1185	127	50	…	…	PUNCT
iogr-1185	127	51	…	…	PUNCT
iogr-1185	127	52	…	…	PUNCT
iogr-1185	127	53	…	…	PUNCT
iogr-1185	127	54	…	…	PUNCT
iogr-1185	127	55	…	…	PUNCT
iogr-1185	127	56	…	…	PUNCT
iogr-1185	127	57	…	…	PUNCT
iogr-1185	127	58	…	…	PUNCT
iogr-1185	127	59	…	…	PUNCT
iogr-1185	127	60	…	…	PUNCT
iogr-1185	127	61	…	…	PUNCT
iogr-1185	127	62	…	…	PUNCT
iogr-1185	127	63	…	…	PUNCT
iogr-1185	127	64	…	…	PUNCT
iogr-1185	127	65	…	…	PUNCT
iogr-1185	127	66	…	…	PUNCT
iogr-1185	127	67	…	…	PUNCT
iogr-1185	127	68	(20	(20	NUM
iogr-1185	127	69	)	)	PUNCT
iogr-1185	128	1	where	where	SCONJ
iogr-1185	128	2	:	:	PUNCT
iogr-1185	129	1	𝐷𝑝	𝐷𝑝	NOUN
iogr-1185	129	2	=	=	PUNCT
iogr-1185	129	3	3𝜌𝑓	3𝜌𝑓	PROPN
iogr-1185	129	4	8𝜌𝑝	8𝜌𝑝	NOUN
iogr-1185	129	5	𝐶𝑑	𝐶𝑑	PROPN
iogr-1185	129	6	|	|	NOUN
iogr-1185	129	7	�	�	PROPN
iogr-1185	129	8	⃗⃗	⃗⃗	PROPN
iogr-1185	129	9	�	�	PROPN
iogr-1185	129	10	𝑓−	𝑓−	PROPN
iogr-1185	129	11	�	�	PROPN
iogr-1185	129	12	⃗⃗	⃗⃗	PROPN
iogr-1185	129	13	�	�	PROPN
iogr-1185	129	14	𝑝|	𝑝|	PROPN
iogr-1185	129	15	𝑟	𝑟	X
iogr-1185	129	16	,	,	PUNCT
iogr-1185	129	17	…	…	PUNCT
iogr-1185	129	18	…	…	PUNCT
iogr-1185	129	19	…	…	PUNCT
iogr-1185	129	20	…	…	PUNCT
iogr-1185	129	21	…	…	PUNCT
iogr-1185	129	22	…	…	PUNCT
iogr-1185	129	23	…	…	PUNCT
iogr-1185	129	24	…	…	PUNCT
iogr-1185	129	25	…	…	PUNCT
iogr-1185	129	26	…	…	PUNCT
iogr-1185	129	27	…	…	PUNCT
iogr-1185	129	28	…	…	PUNCT
iogr-1185	129	29	…	…	PUNCT
iogr-1185	129	30	…	…	PUNCT
iogr-1185	129	31	…	…	PUNCT
iogr-1185	129	32	…	…	PUNCT
iogr-1185	129	33	…	…	PUNCT
iogr-1185	129	34	…	…	PUNCT
iogr-1185	129	35	…	…	PUNCT
iogr-1185	129	36	…	…	PUNCT
iogr-1185	129	37	…	…	PUNCT
iogr-1185	129	38	…	…	PUNCT
iogr-1185	129	39	…	…	PUNCT
iogr-1185	129	40	…	…	PUNCT
iogr-1185	129	41	…	…	PUNCT
iogr-1185	129	42	…	…	PUNCT
iogr-1185	129	43	…	…	PUNCT
iogr-1185	129	44	…	…	PUNCT
iogr-1185	129	45	…	…	PUNCT
iogr-1185	129	46	…	…	PUNCT
iogr-1185	129	47	…	…	PUNCT
iogr-1185	129	48	..	..	PUNCT
iogr-1185	129	49	(	(	PUNCT
iogr-1185	129	50	21	21	NUM
iogr-1185	129	51	)	)	PUNCT
iogr-1185	130	1	𝐶𝑑	𝐶𝑑	PROPN
iogr-1185	130	2	=	=	PUNCT
iogr-1185	130	3	{	{	PUNCT
iogr-1185	130	4	24	24	NUM
iogr-1185	130	5	𝑅𝑒𝑝	𝑅𝑒𝑝	PROPN
iogr-1185	130	6	(	(	PUNCT
iogr-1185	130	7	1	1	NUM
iogr-1185	130	8	+	+	NUM
iogr-1185	130	9	1	1	NUM
iogr-1185	130	10	6	6	NUM
iogr-1185	130	11	𝑅𝑒𝑝	𝑅𝑒𝑝	PROPN
iogr-1185	130	12	2/3	2/3	NUM
iogr-1185	130	13	)	)	PUNCT
iogr-1185	131	1	𝑅𝑒𝑝	𝑅𝑒𝑝	PRON
iogr-1185	131	2	<	<	X
iogr-1185	131	3	103	103	NUM
iogr-1185	131	4	,	,	PUNCT
iogr-1185	131	5	0.44	0.44	NUM
iogr-1185	131	6	103	103	NUM
iogr-1185	131	7	≤	≤	NOUN
iogr-1185	131	8	𝑅𝑒𝑝	𝑅𝑒𝑝	PROPN
iogr-1185	131	9	≤	≤	NUM
iogr-1185	131	10	3	3	NUM
iogr-1185	131	11	×	×	NOUN
iogr-1185	131	12	105	105	NUM
iogr-1185	131	13	.	.	PUNCT
iogr-1185	131	14	,	,	PUNCT
iogr-1185	131	15	…	…	PUNCT
iogr-1185	131	16	…	…	PUNCT
iogr-1185	131	17	…	…	PUNCT
iogr-1185	131	18	…	…	PUNCT
iogr-1185	131	19	…	…	PUNCT
iogr-1185	131	20	…	…	PUNCT
iogr-1185	131	21	…	…	PUNCT
iogr-1185	131	22	…	…	PUNCT
iogr-1185	131	23	…	…	PUNCT
iogr-1185	131	24	…	…	PUNCT
iogr-1185	131	25	…	…	PUNCT
iogr-1185	131	26	…	…	SYM
iogr-1185	131	27	.	.	NUM
iogr-1185	131	28	…	…	PUNCT
iogr-1185	131	29	…	…	PUNCT
iogr-1185	131	30	…	…	PUNCT
iogr-1185	131	31	…	…	PUNCT
iogr-1185	131	32	…	…	PUNCT
iogr-1185	131	33	…	…	PUNCT
iogr-1185	131	34	.(22	.(22	PUNCT
iogr-1185	131	35	)	)	PUNCT
iogr-1185	131	36	thus	thus	ADV
iogr-1185	131	37	,	,	PUNCT
iogr-1185	131	38	by	by	ADP
iogr-1185	131	39	combining	combine	VERB
iogr-1185	131	40	eq	eq	ADP
iogr-1185	131	41	.	.	PROPN
iogr-1185	131	42	20	20	NUM
iogr-1185	131	43	with	with	ADP
iogr-1185	131	44	eqs	eqs	PROPN
iogr-1185	131	45	.	.	PROPN
iogr-1185	131	46	18	18	NUM
iogr-1185	131	47	and	and	CCONJ
iogr-1185	131	48	19	19	NUM
iogr-1185	131	49	,	,	PUNCT
iogr-1185	131	50	the	the	DET
iogr-1185	131	51	particle	particle	NOUN
iogr-1185	131	52	settlement	settlement	NOUN
iogr-1185	131	53	velocity	velocity	NOUN
iogr-1185	131	54	due	due	ADP
iogr-1185	131	55	to	to	ADP
iogr-1185	131	56	inertial	inertial	ADJ
iogr-1185	131	57	effects	effect	NOUN
iogr-1185	131	58	can	can	AUX
iogr-1185	131	59	be	be	AUX
iogr-1185	131	60	calculated	calculate	VERB
iogr-1185	131	61	by	by	ADP
iogr-1185	131	62	eq	eq	PROPN
iogr-1185	131	63	.	.	PROPN
iogr-1185	131	64	16	16	NUM
iogr-1185	131	65	.	.	PUNCT
iogr-1185	132	1	numerical	numerical	ADJ
iogr-1185	132	2	discretization	discretization	NOUN
iogr-1185	132	3	.	.	PUNCT
iogr-1185	133	1	we	we	PRON
iogr-1185	133	2	applied	apply	VERB
iogr-1185	133	3	finite	finite	ADJ
iogr-1185	133	4	volume	volume	NOUN
iogr-1185	133	5	methodology	methodology	NOUN
iogr-1185	133	6	to	to	PART
iogr-1185	133	7	discretize	discretize	VERB
iogr-1185	133	8	proppant	proppant	NOUN
iogr-1185	133	9	-	-	PUNCT
iogr-1185	133	10	governing	govern	VERB
iogr-1185	133	11	8	8	NUM
iogr-1185	133	12	equation	equation	NOUN
iogr-1185	133	13	eq	eq	NOUN
iogr-1185	133	14	.	.	PROPN
iogr-1185	133	15	11	11	NUM
iogr-1185	133	16	.	.	PUNCT
iogr-1185	134	1	before	before	ADP
iogr-1185	134	2	presenting	present	VERB
iogr-1185	134	3	the	the	DET
iogr-1185	134	4	discretization	discretization	NOUN
iogr-1185	134	5	of	of	ADP
iogr-1185	134	6	eq	eq	NOUN
iogr-1185	134	7	.	.	PROPN
iogr-1185	134	8	11	11	NUM
iogr-1185	134	9	,	,	PUNCT
iogr-1185	134	10	we	we	PRON
iogr-1185	134	11	present	present	VERB
iogr-1185	134	12	a	a	DET
iogr-1185	134	13	discussion	discussion	NOUN
iogr-1185	134	14	here	here	ADV
iogr-1185	134	15	.	.	PUNCT
iogr-1185	135	1	note	note	VERB
iogr-1185	135	2	that	that	SCONJ
iogr-1185	135	3	in	in	ADP
iogr-1185	135	4	the	the	DET
iogr-1185	135	5	quasicontinuous	quasicontinuous	ADJ
iogr-1185	135	6	medium	medium	ADJ
iogr-1185	135	7	method	method	NOUN
iogr-1185	135	8	,	,	PUNCT
iogr-1185	135	9	the	the	DET
iogr-1185	135	10	real	real	ADJ
iogr-1185	135	11	fracture	fracture	NOUN
iogr-1185	135	12	structure	structure	NOUN
iogr-1185	135	13	is	be	AUX
iogr-1185	135	14	not	not	PART
iogr-1185	135	15	analyzed	analyze	VERB
iogr-1185	135	16	.	.	PUNCT
iogr-1185	136	1	the	the	DET
iogr-1185	136	2	existence	existence	NOUN
iogr-1185	136	3	of	of	ADP
iogr-1185	136	4	the	the	DET
iogr-1185	136	5	fracture	fracture	NOUN
iogr-1185	136	6	in	in	ADP
iogr-1185	136	7	the	the	DET
iogr-1185	136	8	mesh	mesh	NOUN
iogr-1185	136	9	and	and	CCONJ
iogr-1185	136	10	the	the	DET
iogr-1185	136	11	direction	direction	NOUN
iogr-1185	136	12	of	of	ADP
iogr-1185	136	13	fracture	fracture	NOUN
iogr-1185	136	14	propagation	propagation	NOUN
iogr-1185	136	15	are	be	AUX
iogr-1185	136	16	determined	determine	VERB
iogr-1185	136	17	by	by	ADP
iogr-1185	136	18	current	current	ADJ
iogr-1185	136	19	stress	stress	NOUN
iogr-1185	136	20	conditions	condition	NOUN
iogr-1185	136	21	.	.	PUNCT
iogr-1185	137	1	correspondingly	correspondingly	ADV
iogr-1185	137	2	,	,	PUNCT
iogr-1185	137	3	when	when	SCONJ
iogr-1185	137	4	calculating	calculate	VERB
iogr-1185	137	5	proppant	proppant	NOUN
iogr-1185	137	6	migration	migration	NOUN
iogr-1185	137	7	,	,	PUNCT
iogr-1185	137	8	the	the	DET
iogr-1185	137	9	macroscopic	macroscopic	ADJ
iogr-1185	137	10	migration	migration	NOUN
iogr-1185	137	11	behavior	behavior	NOUN
iogr-1185	137	12	should	should	AUX
iogr-1185	137	13	be	be	AUX
iogr-1185	137	14	considered	consider	VERB
iogr-1185	137	15	with	with	ADP
iogr-1185	137	16	the	the	DET
iogr-1185	137	17	grid	grid	NOUN
iogr-1185	137	18	as	as	ADP
iogr-1185	137	19	the	the	DET
iogr-1185	137	20	basic	basic	ADJ
iogr-1185	137	21	control	control	NOUN
iogr-1185	137	22	body	body	NOUN
iogr-1185	137	23	,	,	PUNCT
iogr-1185	137	24	and	and	CCONJ
iogr-1185	137	25	the	the	DET
iogr-1185	137	26	proppant	proppant	NOUN
iogr-1185	137	27	flow	flow	NOUN
iogr-1185	137	28	between	between	ADP
iogr-1185	137	29	the	the	DET
iogr-1185	137	30	grids	grid	NOUN
iogr-1185	137	31	depends	depend	VERB
iogr-1185	137	32	on	on	ADP
iogr-1185	137	33	the	the	DET
iogr-1185	137	34	fluid	fluid	ADJ
iogr-1185	137	35	flow	flow	NOUN
iogr-1185	137	36	in	in	ADP
iogr-1185	137	37	the	the	DET
iogr-1185	137	38	fracture	fracture	NOUN
iogr-1185	137	39	.	.	PUNCT
iogr-1185	138	1	no	no	ADV
iogr-1185	138	2	matter	matter	ADV
iogr-1185	138	3	how	how	SCONJ
iogr-1185	138	4	complex	complex	ADJ
iogr-1185	138	5	the	the	DET
iogr-1185	138	6	fracture	fracture	NOUN
iogr-1185	138	7	network	network	NOUN
iogr-1185	138	8	is	be	AUX
iogr-1185	138	9	,	,	PUNCT
iogr-1185	138	10	the	the	DET
iogr-1185	138	11	change	change	NOUN
iogr-1185	138	12	in	in	ADP
iogr-1185	138	13	proppant	proppant	ADJ
iogr-1185	138	14	concentration	concentration	NOUN
iogr-1185	138	15	can	can	AUX
iogr-1185	138	16	be	be	AUX
iogr-1185	138	17	calculated	calculate	VERB
iogr-1185	138	18	by	by	ADP
iogr-1185	138	19	calculating	calculate	VERB
iogr-1185	138	20	the	the	DET
iogr-1185	138	21	interposition	interposition	NOUN
iogr-1185	138	22	equation	equation	NOUN
iogr-1185	138	23	of	of	ADP
iogr-1185	138	24	the	the	DET
iogr-1185	138	25	channeling	channel	VERB
iogr-1185	138	26	flow	flow	NOUN
iogr-1185	138	27	in	in	ADP
iogr-1185	138	28	the	the	DET
iogr-1185	138	29	fracture	fracture	NOUN
iogr-1185	138	30	between	between	ADP
iogr-1185	138	31	different	different	ADJ
iogr-1185	138	32	grids	grid	NOUN
iogr-1185	138	33	.	.	PUNCT
iogr-1185	139	1	in	in	ADP
iogr-1185	139	2	the	the	DET
iogr-1185	139	3	framework	framework	NOUN
iogr-1185	139	4	of	of	ADP
iogr-1185	139	5	a	a	DET
iogr-1185	139	6	quasicontinuous	quasicontinuous	ADJ
iogr-1185	139	7	medium	medium	NOUN
iogr-1185	139	8	,	,	PUNCT
iogr-1185	139	9	the	the	DET
iogr-1185	139	10	total	total	ADJ
iogr-1185	139	11	flow	flow	NOUN
iogr-1185	139	12	between	between	ADP
iogr-1185	139	13	grids	grid	NOUN
iogr-1185	139	14	can	can	AUX
iogr-1185	139	15	be	be	AUX
iogr-1185	139	16	obtained	obtain	VERB
iogr-1185	139	17	by	by	ADP
iogr-1185	139	18	darcy	darcy	PROPN
iogr-1185	139	19	's	's	PART
iogr-1185	139	20	law	law	NOUN
iogr-1185	139	21	,	,	PUNCT
iogr-1185	139	22	and	and	CCONJ
iogr-1185	139	23	the	the	DET
iogr-1185	139	24	flow	flow	NOUN
iogr-1185	139	25	through	through	ADP
iogr-1185	139	26	the	the	DET
iogr-1185	139	27	fracture	fracture	NOUN
iogr-1185	139	28	can	can	AUX
iogr-1185	139	29	be	be	AUX
iogr-1185	139	30	separated	separate	VERB
iogr-1185	139	31	by	by	ADP
iogr-1185	139	32	the	the	DET
iogr-1185	139	33	average	average	ADJ
iogr-1185	139	34	permeability	permeability	NOUN
iogr-1185	139	35	law	law	NOUN
iogr-1185	139	36	.	.	PUNCT
iogr-1185	140	1	if	if	SCONJ
iogr-1185	140	2	using	use	VERB
iogr-1185	140	3	the	the	DET
iogr-1185	140	4	explicit	explicit	ADJ
iogr-1185	140	5	central	central	ADJ
iogr-1185	140	6	second	second	ADJ
iogr-1185	140	7	-	-	PUNCT
iogr-1185	140	8	order	order	NOUN
iogr-1185	140	9	scheme	scheme	NOUN
iogr-1185	140	10	to	to	PART
iogr-1185	140	11	discretize	discretize	VERB
iogr-1185	140	12	the	the	DET
iogr-1185	140	13	flow	flow	NOUN
iogr-1185	140	14	term	term	NOUN
iogr-1185	140	15	in	in	ADP
iogr-1185	140	16	the	the	DET
iogr-1185	140	17	proppant	proppant	NOUN
iogr-1185	140	18	-	-	PUNCT
iogr-1185	140	19	governing	govern	VERB
iogr-1185	140	20	equation	equation	NOUN
iogr-1185	140	21	,	,	PUNCT
iogr-1185	140	22	the	the	DET
iogr-1185	140	23	discrete	discrete	ADJ
iogr-1185	140	24	form	form	NOUN
iogr-1185	140	25	can	can	AUX
iogr-1185	140	26	be	be	AUX
iogr-1185	140	27	written	write	VERB
iogr-1185	140	28	as	as	SCONJ
iogr-1185	140	29	follows	follow	VERB
iogr-1185	140	30	(	(	PUNCT
iogr-1185	140	31	li	li	PROPN
iogr-1185	140	32	et	et	PROPN
iogr-1185	140	33	al	al	PROPN
iogr-1185	140	34	.	.	PROPN
iogr-1185	140	35	2016	2016	NUM
iogr-1185	140	36	):	):	PUNCT
iogr-1185	140	37	(	(	PUNCT
iogr-1185	140	38	𝐶𝜙𝐹)𝐶	𝐶𝜙𝐹)𝐶	PUNCT
iogr-1185	140	39	𝑛+1−(𝐶𝜙𝐹)𝐶	𝑛+1−(𝐶𝜙𝐹)𝐶	PROPN
iogr-1185	140	40	𝑛	𝑛	PRON
iogr-1185	140	41	δ𝑡	δ𝑡	X
iogr-1185	140	42	δ𝑉	δ𝑉	PROPN
iogr-1185	141	1	+	+	PROPN
iogr-1185	141	2	∑	∑	PROPN
iogr-1185	141	3	[	[	X
iogr-1185	141	4	𝑤𝑐(𝐶𝜙𝐹)𝐶	𝑤𝑐(𝐶𝜙𝐹)𝐶	NOUN
iogr-1185	141	5	𝑛	𝑛	ADP
iogr-1185	141	6	+	+	X
iogr-1185	141	7	𝑤𝑛(𝐶𝜙𝐹)𝑁	𝑤𝑛(𝐶𝜙𝐹)𝑁	ADJ
iogr-1185	141	8	𝑛	𝑛	X
iogr-1185	141	9	]	]	X
iogr-1185	141	10	(	(	PUNCT
iogr-1185	141	11	�	�	NOUN
iogr-1185	141	12	⃗	⃗	NOUN
iogr-1185	141	13	�	�	PROPN
iogr-1185	141	14	𝑝,𝐼	𝑝,𝐼	PROPN
iogr-1185	141	15	𝑛+1	𝑛+1	PROPN
iogr-1185	141	16	�	�	NOUN
iogr-1185	141	17	⃗	⃗	NOUN
iogr-1185	141	18	�	�	PROPN
iogr-1185	141	19	δ𝑆)𝑠	δ𝑆)𝑠	PROPN
iogr-1185	141	20	=	=	X
iogr-1185	141	21	𝑞𝑖𝑛𝑗,𝐶δ𝑉,	𝑞𝑖𝑛𝑗,𝐶δ𝑉,	PROPN
iogr-1185	141	22	…	…	PUNCT
iogr-1185	141	23	…	…	PUNCT
iogr-1185	141	24	…	…	SYM
iogr-1185	141	25	....	....	PUNCT
iogr-1185	141	26	…	…	PUNCT
iogr-1185	141	27	…	…	PUNCT
iogr-1185	141	28	…	…	PUNCT
iogr-1185	141	29	…	…	PUNCT
iogr-1185	141	30	…	…	PUNCT
iogr-1185	141	31	..	..	PUNCT
iogr-1185	141	32	(23	(23	NOUN
iogr-1185	141	33	)	)	PUNCT
iogr-1185	141	34	where	where	SCONJ
iogr-1185	141	35	subscriptions	subscription	NOUN
iogr-1185	141	36	c	c	PROPN
iogr-1185	141	37	and	and	CCONJ
iogr-1185	141	38	n	n	PROPN
iogr-1185	141	39	are	be	AUX
iogr-1185	141	40	the	the	DET
iogr-1185	141	41	current	current	ADJ
iogr-1185	141	42	grid	grid	NOUN
iogr-1185	141	43	and	and	CCONJ
iogr-1185	141	44	neighboring	neighboring	NOUN
iogr-1185	141	45	grid	grid	NOUN
iogr-1185	141	46	,	,	PUNCT
iogr-1185	141	47	respectively	respectively	ADV
iogr-1185	141	48	;	;	PUNCT
iogr-1185	141	49	�	�	PROPN
iogr-1185	141	50	⃗	⃗	NOUN
iogr-1185	141	51	�	�	PROPN
iogr-1185	141	52	𝑝,𝐼	𝑝,𝐼	PROPN
iogr-1185	141	53	𝑛+1	𝑛+1	PROPN
iogr-1185	141	54	is	be	AUX
iogr-1185	141	55	the	the	DET
iogr-1185	141	56	particle	particle	NOUN
iogr-1185	141	57	transport	transport	NOUN
iogr-1185	141	58	velocity	velocity	NOUN
iogr-1185	141	59	at	at	ADP
iogr-1185	141	60	the	the	DET
iogr-1185	141	61	interface	interface	NOUN
iogr-1185	141	62	in	in	ADP
iogr-1185	141	63	time	time	NOUN
iogr-1185	141	64	step	step	NOUN
iogr-1185	141	65	n+1	n+1	PROPN
iogr-1185	141	66	,	,	PUNCT
iogr-1185	141	67	which	which	PRON
iogr-1185	141	68	is	be	AUX
iogr-1185	141	69	precalculated	precalculate	VERB
iogr-1185	141	70	;	;	PUNCT
iogr-1185	141	71	and	and	CCONJ
iogr-1185	141	72	𝑤𝑐	𝑤𝑐	PROPN
iogr-1185	141	73	and	and	CCONJ
iogr-1185	141	74	𝑤𝑛	𝑤𝑛	NOUN
iogr-1185	141	75	are	be	AUX
iogr-1185	141	76	the	the	DET
iogr-1185	141	77	weights	weight	NOUN
iogr-1185	141	78	of	of	ADP
iogr-1185	141	79	the	the	DET
iogr-1185	141	80	first	first	ADJ
iogr-1185	141	81	-	-	PUNCT
iogr-1185	141	82	order	order	NOUN
iogr-1185	141	83	approximation	approximation	NOUN
iogr-1185	141	84	at	at	ADP
iogr-1185	141	85	the	the	DET
iogr-1185	141	86	interface	interface	NOUN
iogr-1185	141	87	between	between	ADP
iogr-1185	141	88	the	the	DET
iogr-1185	141	89	current	current	ADJ
iogr-1185	141	90	grid	grid	NOUN
iogr-1185	141	91	and	and	CCONJ
iogr-1185	141	92	the	the	DET
iogr-1185	141	93	adjacent	adjacent	ADJ
iogr-1185	141	94	grid	grid	NOUN
iogr-1185	141	95	.	.	PUNCT
iogr-1185	142	1	the	the	DET
iogr-1185	142	2	explicit	explicit	ADJ
iogr-1185	142	3	discretization	discretization	NOUN
iogr-1185	142	4	mentioned	mention	VERB
iogr-1185	142	5	above	above	ADV
iogr-1185	142	6	is	be	AUX
iogr-1185	142	7	obviously	obviously	ADV
iogr-1185	142	8	unstable	unstable	ADJ
iogr-1185	142	9	(	(	PUNCT
iogr-1185	142	10	referring	refer	VERB
iogr-1185	142	11	to	to	ADP
iogr-1185	142	12	the	the	DET
iogr-1185	142	13	explicit	explicit	ADJ
iogr-1185	142	14	second	second	ADJ
iogr-1185	142	15	-	-	PUNCT
iogr-1185	142	16	order	order	NOUN
iogr-1185	142	17	central	central	ADJ
iogr-1185	142	18	difference	difference	NOUN
iogr-1185	142	19	scheme	scheme	NOUN
iogr-1185	142	20	)	)	PUNCT
iogr-1185	142	21	.	.	PUNCT
iogr-1185	143	1	in	in	ADP
iogr-1185	143	2	order	order	NOUN
iogr-1185	143	3	to	to	PART
iogr-1185	143	4	ensure	ensure	VERB
iogr-1185	143	5	accuracy	accuracy	NOUN
iogr-1185	143	6	,	,	PUNCT
iogr-1185	143	7	some	some	DET
iogr-1185	143	8	variables	variable	NOUN
iogr-1185	143	9	must	must	AUX
iogr-1185	143	10	be	be	AUX
iogr-1185	143	11	treated	treat	VERB
iogr-1185	143	12	implicitly	implicitly	ADV
iogr-1185	143	13	,	,	PUNCT
iogr-1185	143	14	and	and	CCONJ
iogr-1185	143	15	a	a	DET
iogr-1185	143	16	set	set	NOUN
iogr-1185	143	17	of	of	ADP
iogr-1185	143	18	linear	linear	ADJ
iogr-1185	143	19	equations	equation	NOUN
iogr-1185	143	20	must	must	AUX
iogr-1185	143	21	be	be	AUX
iogr-1185	143	22	constructed	construct	VERB
iogr-1185	143	23	to	to	PART
iogr-1185	143	24	solve	solve	VERB
iogr-1185	143	25	them	they	PRON
iogr-1185	143	26	.	.	PUNCT
iogr-1185	144	1	the	the	DET
iogr-1185	144	2	first	first	ADJ
iogr-1185	144	3	-	-	PUNCT
iogr-1185	144	4	order	order	NOUN
iogr-1185	144	5	upwind	upwind	NOUN
iogr-1185	144	6	scheme	scheme	NOUN
iogr-1185	144	7	is	be	AUX
iogr-1185	144	8	absolutely	absolutely	ADV
iogr-1185	144	9	stable	stable	ADJ
iogr-1185	144	10	,	,	PUNCT
iogr-1185	144	11	but	but	CCONJ
iogr-1185	144	12	its	its	PRON
iogr-1185	144	13	accuracy	accuracy	NOUN
iogr-1185	144	14	is	be	AUX
iogr-1185	144	15	low	low	ADJ
iogr-1185	144	16	.	.	PUNCT
iogr-1185	145	1	combining	combine	VERB
iogr-1185	145	2	the	the	DET
iogr-1185	145	3	advantages	advantage	NOUN
iogr-1185	145	4	and	and	CCONJ
iogr-1185	145	5	disadvantages	disadvantage	NOUN
iogr-1185	145	6	of	of	ADP
iogr-1185	145	7	the	the	DET
iogr-1185	145	8	two	two	NUM
iogr-1185	145	9	schemes	scheme	NOUN
iogr-1185	145	10	,	,	PUNCT
iogr-1185	145	11	we	we	PRON
iogr-1185	145	12	implicitly	implicitly	ADV
iogr-1185	145	13	dealt	deal	VERB
iogr-1185	145	14	with	with	ADP
iogr-1185	145	15	the	the	DET
iogr-1185	145	16	convective	convective	ADJ
iogr-1185	145	17	upwind	upwind	NOUN
iogr-1185	145	18	scheme	scheme	NOUN
iogr-1185	145	19	and	and	CCONJ
iogr-1185	145	20	modified	modify	VERB
iogr-1185	145	21	the	the	DET
iogr-1185	145	22	right	right	ADJ
iogr-1185	145	23	hand	hand	NOUN
iogr-1185	145	24	of	of	ADP
iogr-1185	145	25	equation	equation	NOUN
iogr-1185	145	26	(	(	PUNCT
iogr-1185	145	27	rhe	rhe	NOUN
iogr-1185	145	28	)	)	PUNCT
iogr-1185	145	29	by	by	ADP
iogr-1185	145	30	using	use	VERB
iogr-1185	145	31	the	the	DET
iogr-1185	145	32	second	second	ADJ
iogr-1185	145	33	-	-	PUNCT
iogr-1185	145	34	order	order	NOUN
iogr-1185	145	35	margin	margin	NOUN
iogr-1185	145	36	.	.	PUNCT
iogr-1185	146	1	thus	thus	ADV
iogr-1185	146	2	,	,	PUNCT
iogr-1185	146	3	eq	eq	NOUN
iogr-1185	146	4	.	.	PROPN
iogr-1185	146	5	23	23	NUM
iogr-1185	146	6	can	can	AUX
iogr-1185	146	7	be	be	AUX
iogr-1185	146	8	discretized	discretize	VERB
iogr-1185	146	9	as	as	ADP
iogr-1185	146	10	:	:	PUNCT
iogr-1185	146	11	(	(	PUNCT
iogr-1185	146	12	𝐶𝜙𝐹)𝐶	𝐶𝜙𝐹)𝐶	PUNCT
iogr-1185	146	13	𝑛+1−(𝐶𝜙𝐹)𝐶	𝑛+1−(𝐶𝜙𝐹)𝐶	PROPN
iogr-1185	146	14	𝑛	𝑛	PRON
iogr-1185	146	15	δ𝑡	δ𝑡	X
iogr-1185	146	16	δ𝑉	δ𝑉	PROPN
iogr-1185	146	17	+	+	PROPN
iogr-1185	146	18	∑	∑	PROPN
iogr-1185	146	19	[	[	X
iogr-1185	146	20	𝑤𝑐(𝐶𝜙𝐹)𝐶	𝑤𝑐(𝐶𝜙𝐹)𝐶	DET
iogr-1185	146	21	𝑛+1	𝑛+1	ADP
iogr-1185	146	22	+	+	CCONJ
iogr-1185	146	23	𝑤𝑛(𝐶𝜙𝐹)𝑁	𝑤𝑛(𝐶𝜙𝐹)𝑁	PROPN
iogr-1185	146	24	𝑛+1](	𝑛+1](	NUM
iogr-1185	146	25	�	�	NOUN
iogr-1185	146	26	⃗	⃗	NOUN
iogr-1185	146	27	�	�	PROPN
iogr-1185	146	28	𝑝,𝐼	𝑝,𝐼	PROPN
iogr-1185	146	29	𝑛+1	𝑛+1	PROPN
iogr-1185	146	30	�	�	NOUN
iogr-1185	146	31	⃗	⃗	NOUN
iogr-1185	146	32	�	�	PROPN
iogr-1185	146	33	δ𝑆)𝑠	δ𝑆)𝑠	PROPN
iogr-1185	146	34	=	=	PUNCT
iogr-1185	146	35	∑	∑	PUNCT
iogr-1185	146	36	[	[	X
iogr-1185	146	37	𝑤𝐷(𝐶𝜙𝐹)𝑢	𝑤𝐷(𝐶𝜙𝐹)𝑢	NOUN
iogr-1185	146	38	𝑛	𝑛	ADJ
iogr-1185	146	39	+	+	NOUN
iogr-1185	146	40	𝑤𝑛(𝐶𝜙𝐹)𝑁	𝑤𝑛(𝐶𝜙𝐹)𝑁	ADJ
iogr-1185	146	41	𝑛	𝑛	X
iogr-1185	146	42	]	]	X
iogr-1185	146	43	(	(	PUNCT
iogr-1185	146	44	�	�	NOUN
iogr-1185	146	45	⃗	⃗	NOUN
iogr-1185	146	46	�	�	PROPN
iogr-1185	146	47	𝑝,𝐼	𝑝,𝐼	PROPN
iogr-1185	146	48	𝑛+1	𝑛+1	PROPN
iogr-1185	146	49	�	�	NOUN
iogr-1185	146	50	⃗	⃗	NOUN
iogr-1185	146	51	�	�	PROPN
iogr-1185	146	52	δ𝑆)𝑠	δ𝑆)𝑠	PROPN
iogr-1185	146	53	+	+	CCONJ
iogr-1185	146	54	𝑞𝑖𝑛𝑗,𝐶δ𝑉	𝑞𝑖𝑛𝑗,𝐶δ𝑉	PROPN
iogr-1185	146	55	…	…	SYM
iogr-1185	146	56	…	…	PUNCT
iogr-1185	146	57	…	…	PUNCT
iogr-1185	146	58	…	…	PUNCT
iogr-1185	146	59	…	…	PUNCT
iogr-1185	146	60	…	…	PUNCT
iogr-1185	146	61	…	…	PUNCT
iogr-1185	146	62	…	…	PUNCT
iogr-1185	146	63	(24	(24	X
iogr-1185	146	64	)	)	PUNCT
iogr-1185	146	65	the	the	DET
iogr-1185	146	66	relationship	relationship	NOUN
iogr-1185	146	67	among	among	ADP
iogr-1185	146	68	the	the	DET
iogr-1185	146	69	upwind	upwind	NOUN
iogr-1185	146	70	grid	grid	NOUN
iogr-1185	146	71	,	,	PUNCT
iogr-1185	146	72	dead	dead	ADJ
iogr-1185	146	73	-	-	PUNCT
iogr-1185	146	74	wind	wind	NOUN
iogr-1185	146	75	grid	grid	NOUN
iogr-1185	146	76	,	,	PUNCT
iogr-1185	146	77	current	current	ADJ
iogr-1185	146	78	grid	grid	NOUN
iogr-1185	146	79	,	,	PUNCT
iogr-1185	146	80	and	and	CCONJ
iogr-1185	146	81	adjacent	adjacent	ADJ
iogr-1185	146	82	grid	grid	NOUN
iogr-1185	146	83	should	should	AUX
iogr-1185	146	84	be	be	AUX
iogr-1185	146	85	determined	determine	VERB
iogr-1185	146	86	according	accord	VERB
iogr-1185	146	87	to	to	ADP
iogr-1185	146	88	the	the	DET
iogr-1185	146	89	flow	flow	NOUN
iogr-1185	146	90	velocity	velocity	NOUN
iogr-1185	146	91	.	.	PUNCT
iogr-1185	147	1	the	the	DET
iogr-1185	147	2	above	above	ADJ
iogr-1185	147	3	analysis	analysis	NOUN
iogr-1185	147	4	is	be	AUX
iogr-1185	147	5	based	base	VERB
iogr-1185	147	6	on	on	ADP
iogr-1185	147	7	the	the	DET
iogr-1185	147	8	suspending	suspend	VERB
iogr-1185	147	9	region	region	NOUN
iogr-1185	147	10	.	.	PUNCT
iogr-1185	148	1	if	if	SCONJ
iogr-1185	148	2	the	the	DET
iogr-1185	148	3	case	case	NOUN
iogr-1185	148	4	of	of	ADP
iogr-1185	148	5	sand	sand	NOUN
iogr-1185	148	6	heap	heap	NOUN
iogr-1185	148	7	is	be	AUX
iogr-1185	148	8	considered	consider	VERB
iogr-1185	148	9	,	,	PUNCT
iogr-1185	148	10	the	the	DET
iogr-1185	148	11	firstorder	firstorder	NOUN
iogr-1185	148	12	dead	dead	ADJ
iogr-1185	148	13	scheme	scheme	NOUN
iogr-1185	148	14	must	must	AUX
iogr-1185	148	15	be	be	AUX
iogr-1185	148	16	adopted	adopt	VERB
iogr-1185	148	17	;	;	PUNCT
iogr-1185	148	18	otherwise	otherwise	ADV
iogr-1185	148	19	,	,	PUNCT
iogr-1185	148	20	the	the	DET
iogr-1185	148	21	result	result	NOUN
iogr-1185	148	22	will	will	AUX
iogr-1185	148	23	be	be	AUX
iogr-1185	148	24	nonphysical	nonphysical	ADJ
iogr-1185	148	25	.	.	PUNCT
iogr-1185	149	1	for	for	ADP
iogr-1185	149	2	this	this	DET
iogr-1185	149	3	reason	reason	NOUN
iogr-1185	149	4	,	,	PUNCT
iogr-1185	149	5	when	when	SCONJ
iogr-1185	149	6	the	the	DET
iogr-1185	149	7	concentration	concentration	NOUN
iogr-1185	149	8	of	of	ADP
iogr-1185	149	9	the	the	DET
iogr-1185	149	10	upwind	upwind	NOUN
iogr-1185	149	11	grid	grid	NOUN
iogr-1185	149	12	in	in	ADP
iogr-1185	149	13	the	the	DET
iogr-1185	149	14	direction	direction	NOUN
iogr-1185	149	15	of	of	ADP
iogr-1185	149	16	particle	particle	NOUN
iogr-1185	149	17	settlement	settlement	NOUN
iogr-1185	149	18	approaches	approach	VERB
iogr-1185	149	19	the	the	DET
iogr-1185	149	20	limit	limit	NOUN
iogr-1185	149	21	accumulation	accumulation	NOUN
iogr-1185	149	22	concentration	concentration	NOUN
iogr-1185	149	23	,	,	PUNCT
iogr-1185	149	24	the	the	DET
iogr-1185	149	25	interface	interface	NOUN
iogr-1185	149	26	between	between	ADP
iogr-1185	149	27	the	the	DET
iogr-1185	149	28	two	two	NUM
iogr-1185	149	29	grids	grid	NOUN
iogr-1185	149	30	must	must	AUX
iogr-1185	149	31	be	be	AUX
iogr-1185	149	32	corrected	correct	VERB
iogr-1185	149	33	to	to	PART
iogr-1185	149	34	adopt	adopt	VERB
iogr-1185	149	35	the	the	DET
iogr-1185	149	36	first	first	ADJ
iogr-1185	149	37	-	-	PUNCT
iogr-1185	149	38	order	order	NOUN
iogr-1185	149	39	dead	dead	ADJ
iogr-1185	149	40	scheme	scheme	NOUN
iogr-1185	149	41	.	.	PUNCT
iogr-1185	150	1	critical	critical	ADJ
iogr-1185	150	2	flow	flow	NOUN
iogr-1185	150	3	rate	rate	NOUN
iogr-1185	150	4	of	of	ADP
iogr-1185	150	5	proppant	proppant	ADJ
iogr-1185	150	6	flowback	flowback	NOUN
iogr-1185	150	7	.	.	PUNCT
iogr-1185	151	1	the	the	DET
iogr-1185	151	2	maximum	maximum	ADJ
iogr-1185	151	3	stable	stable	ADJ
iogr-1185	151	4	pressure	pressure	NOUN
iogr-1185	151	5	drop	drop	NOUN
iogr-1185	151	6	gradient	gradient	NOUN
iogr-1185	151	7	for	for	ADP
iogr-1185	151	8	the	the	DET
iogr-1185	151	9	proppant	proppant	ADJ
iogr-1185	151	10	flowback	flowback	NOUN
iogr-1185	151	11	within	within	ADP
iogr-1185	151	12	the	the	DET
iogr-1185	151	13	fracture	fracture	NOUN
iogr-1185	151	14	after	after	SCONJ
iogr-1185	151	15	closure	closure	NOUN
iogr-1185	151	16	can	can	AUX
iogr-1185	151	17	be	be	AUX
iogr-1185	151	18	obtained	obtain	VERB
iogr-1185	151	19	with	with	ADP
iogr-1185	151	20	the	the	DET
iogr-1185	151	21	sum	sum	NOUN
iogr-1185	151	22	of	of	ADP
iogr-1185	151	23	the	the	DET
iogr-1185	151	24	pressure	pressure	NOUN
iogr-1185	151	25	drop	drop	NOUN
iogr-1185	151	26	gradients	gradient	NOUN
iogr-1185	151	27	that	that	SCONJ
iogr-1185	151	28	the	the	DET
iogr-1185	151	29	proppant	proppant	NOUN
iogr-1185	151	30	adhesion	adhesion	NOUN
iogr-1185	151	31	force	force	NOUN
iogr-1185	151	32	and	and	CCONJ
iogr-1185	151	33	fracture	fracture	NOUN
iogr-1185	151	34	closure	closure	NOUN
iogr-1185	151	35	stress	stress	NOUN
iogr-1185	151	36	can	can	AUX
iogr-1185	151	37	resist	resist	VERB
iogr-1185	151	38	.	.	PUNCT
iogr-1185	152	1	(	(	PUNCT
iogr-1185	152	2	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	152	3	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	152	4	)	)	PUNCT
iogr-1185	152	5	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
iogr-1185	152	6	=	=	PUNCT
iogr-1185	152	7	(	(	PUNCT
iogr-1185	152	8	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	152	9	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	152	10	)	)	PUNCT
iogr-1185	152	11	𝑠𝑡𝑎	𝑠𝑡𝑎	NOUN
iogr-1185	153	1	+	+	NOUN
iogr-1185	153	2	(	(	PUNCT
iogr-1185	153	3	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	153	4	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	153	5	)	)	PUNCT
iogr-1185	153	6	𝐹𝑉	𝐹𝑉	PROPN
iogr-1185	153	7	,	,	PUNCT
iogr-1185	153	8	…	…	PUNCT
iogr-1185	153	9	…	…	PUNCT
iogr-1185	153	10	…	…	PUNCT
iogr-1185	153	11	…	…	PUNCT
iogr-1185	153	12	…	…	PUNCT
iogr-1185	153	13	...	...	PUNCT
iogr-1185	153	14	…	…	PUNCT
iogr-1185	153	15	…	…	PUNCT
iogr-1185	153	16	…	…	PUNCT
iogr-1185	153	17	…	…	PUNCT
iogr-1185	153	18	…	…	PUNCT
iogr-1185	153	19	…	…	PUNCT
iogr-1185	153	20	…	…	PUNCT
iogr-1185	153	21	…	…	PUNCT
iogr-1185	153	22	…	…	PUNCT
iogr-1185	153	23	…	…	PUNCT
iogr-1185	153	24	…	…	PUNCT
iogr-1185	153	25	…	…	PUNCT
iogr-1185	153	26	…	…	PUNCT
iogr-1185	153	27	…	…	PUNCT
iogr-1185	153	28	…	…	PUNCT
iogr-1185	153	29	…	…	PUNCT
iogr-1185	153	30	…	…	PUNCT
iogr-1185	153	31	…	…	PUNCT
iogr-1185	153	32	…	…	PUNCT
iogr-1185	153	33	…	…	PUNCT
iogr-1185	153	34	…	…	PUNCT
iogr-1185	153	35	…	…	PUNCT
iogr-1185	153	36	..	..	PUNCT
iogr-1185	153	37	(	(	PUNCT
iogr-1185	153	38	25	25	NUM
iogr-1185	153	39	)	)	PUNCT
iogr-1185	153	40	where	where	SCONJ
iogr-1185	153	41	(	(	PUNCT
iogr-1185	153	42	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	153	43	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	153	44	)	)	PUNCT
iogr-1185	153	45	𝑠𝑡𝑎	𝑠𝑡𝑎	NOUN
iogr-1185	153	46	is	be	AUX
iogr-1185	153	47	the	the	DET
iogr-1185	153	48	pressure	pressure	NOUN
iogr-1185	153	49	drop	drop	NOUN
iogr-1185	153	50	gradient	gradient	ADJ
iogr-1185	153	51	that	that	SCONJ
iogr-1185	153	52	the	the	DET
iogr-1185	153	53	fracture	fracture	NOUN
iogr-1185	153	54	closure	closure	NOUN
iogr-1185	153	55	stress	stress	NOUN
iogr-1185	153	56	can	can	AUX
iogr-1185	153	57	resist	resist	VERB
iogr-1185	153	58	(	(	PUNCT
iogr-1185	153	59	mpa	mpa	PROPN
iogr-1185	153	60	/	/	SYM
iogr-1185	153	61	m	m	PROPN
iogr-1185	153	62	)	)	PUNCT
iogr-1185	153	63	;	;	PUNCT
iogr-1185	153	64	and	and	CCONJ
iogr-1185	153	65	(	(	PUNCT
iogr-1185	153	66	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	153	67	𝑑𝑥	𝑑𝑥	VERB
iogr-1185	153	68	)	)	PUNCT
iogr-1185	153	69	𝐹𝑉	𝐹𝑉	PROPN
iogr-1185	153	70	is	be	AUX
iogr-1185	153	71	the	the	DET
iogr-1185	153	72	pressure	pressure	NOUN
iogr-1185	153	73	drop	drop	NOUN
iogr-1185	153	74	gradient	gradient	ADJ
iogr-1185	153	75	that	that	SCONJ
iogr-1185	153	76	the	the	DET
iogr-1185	153	77	proppant	proppant	NOUN
iogr-1185	153	78	adhesion	adhesion	NOUN
iogr-1185	153	79	force	force	NOUN
iogr-1185	153	80	can	can	AUX
iogr-1185	153	81	resist	resist	VERB
iogr-1185	153	82	(	(	PUNCT
iogr-1185	153	83	mpa	mpa	PROPN
iogr-1185	153	84	/	/	SYM
iogr-1185	153	85	m	m	PROPN
iogr-1185	153	86	)	)	PUNCT
iogr-1185	153	87	,	,	PUNCT
iogr-1185	153	88	(	(	PUNCT
iogr-1185	153	89	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	153	90	𝑑𝑥	𝑑𝑥	VERB
iogr-1185	153	91	)	)	PUNCT
iogr-1185	153	92	𝐹𝑉	𝐹𝑉	PROPN
iogr-1185	153	93	=	=	SYM
iogr-1185	154	1	3𝐹𝑛	3𝐹𝑛	NUM
iogr-1185	154	2	106×4𝜋𝑅3.	106×4𝜋𝑅3.	NUM
iogr-1185	154	3	…	…	SYM
iogr-1185	154	4	…	…	PUNCT
iogr-1185	154	5	…	…	PUNCT
iogr-1185	154	6	…	…	PUNCT
iogr-1185	154	7	…	…	PUNCT
iogr-1185	154	8	…	…	PUNCT
iogr-1185	154	9	…	…	PUNCT
iogr-1185	154	10	…	…	PUNCT
iogr-1185	154	11	…	…	PUNCT
iogr-1185	154	12	…	…	PUNCT
iogr-1185	154	13	…	…	PUNCT
iogr-1185	154	14	…	…	PUNCT
iogr-1185	154	15	…	…	PUNCT
iogr-1185	154	16	…	…	PUNCT
iogr-1185	154	17	…	…	PUNCT
iogr-1185	154	18	…	…	PUNCT
iogr-1185	154	19	…	…	PUNCT
iogr-1185	154	20	…	…	PUNCT
iogr-1185	154	21	…	…	PUNCT
iogr-1185	154	22	…	…	PUNCT
iogr-1185	154	23	…	…	PUNCT
iogr-1185	154	24	…	…	PUNCT
iogr-1185	154	25	…	…	PUNCT
iogr-1185	154	26	…	…	PUNCT
iogr-1185	154	27	…	…	PUNCT
iogr-1185	154	28	…	…	PUNCT
iogr-1185	154	29	…	…	PUNCT
iogr-1185	154	30	…	…	PUNCT
iogr-1185	154	31	…	…	PUNCT
iogr-1185	154	32	…	…	PUNCT
iogr-1185	154	33	…	…	PUNCT
iogr-1185	154	34	…	…	PUNCT
iogr-1185	154	35	(26	(26	X
iogr-1185	154	36	)	)	PUNCT
iogr-1185	154	37	the	the	DET
iogr-1185	154	38	effective	effective	ADJ
iogr-1185	154	39	cohesion	cohesion	NOUN
iogr-1185	154	40	force	force	NOUN
iogr-1185	154	41	can	can	AUX
iogr-1185	154	42	be	be	AUX
iogr-1185	154	43	expressed	express	VERB
iogr-1185	154	44	as	as	ADP
iogr-1185	154	45	a	a	DET
iogr-1185	154	46	function	function	NOUN
iogr-1185	154	47	of	of	ADP
iogr-1185	154	48	cohesion	cohesion	NOUN
iogr-1185	154	49	,	,	PUNCT
iogr-1185	154	50	gravity	gravity	NOUN
iogr-1185	154	51	,	,	PUNCT
iogr-1185	154	52	and	and	CCONJ
iogr-1185	154	53	buoyance	buoyance	NOUN
iogr-1185	154	54	.	.	PUNCT
iogr-1185	155	1	9	9	NUM
iogr-1185	156	1	𝐹n	𝐹n	NOUN
iogr-1185	156	2	=	=	SYM
iogr-1185	156	3	𝑎𝑐	𝑎𝑐	INTJ
iogr-1185	156	4	(	(	PUNCT
iogr-1185	156	5	𝛾0	𝛾0	PROPN
iogr-1185	156	6	𝛾0∗	𝛾0∗	PROPN
iogr-1185	156	7	)	)	PUNCT
iogr-1185	156	8	2.5	2.5	NUM
iogr-1185	156	9	𝜋	𝜋	SYM
iogr-1185	156	10	2	2	NUM
iogr-1185	156	11	𝜌𝑓휀𝑑	𝜌𝑓휀𝑑	NOUN
iogr-1185	156	12	5	5	NUM
iogr-1185	156	13	3	3	NUM
iogr-1185	156	14	√3	√3	PROPN
iogr-1185	156	15	−	−	PROPN
iogr-1185	156	16	(	(	PUNCT
iogr-1185	156	17	𝜌𝑠	𝜌𝑠	NOUN
iogr-1185	156	18	−	−	NOUN
iogr-1185	156	19	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	156	20	)	)	PUNCT
iogr-1185	156	21	1	1	NUM
iogr-1185	156	22	6	6	NUM
iogr-1185	156	23	𝜋𝑑3g,	𝜋𝑑3g,	NOUN
iogr-1185	156	24	…	…	SYM
iogr-1185	156	25	…	…	PUNCT
iogr-1185	156	26	…	…	PUNCT
iogr-1185	156	27	…	…	PUNCT
iogr-1185	156	28	…	…	PUNCT
iogr-1185	156	29	…	…	PUNCT
iogr-1185	156	30	…	…	PUNCT
iogr-1185	156	31	…	…	PUNCT
iogr-1185	156	32	…	…	PUNCT
iogr-1185	156	33	…	…	PUNCT
iogr-1185	156	34	…	…	PUNCT
iogr-1185	156	35	…	…	PUNCT
iogr-1185	156	36	…	…	PUNCT
iogr-1185	156	37	…	…	PUNCT
iogr-1185	156	38	…	…	SYM
iogr-1185	156	39	.	.	NUM
iogr-1185	156	40	…	…	PUNCT
iogr-1185	156	41	…	…	PUNCT
iogr-1185	156	42	…	…	PUNCT
iogr-1185	156	43	…	…	PUNCT
iogr-1185	156	44	…	…	PUNCT
iogr-1185	156	45	(27	(27	X
iogr-1185	156	46	)	)	PUNCT
iogr-1185	156	47	where	where	SCONJ
iogr-1185	156	48	𝜌𝑠	𝜌𝑠	NOUN
iogr-1185	156	49	is	be	AUX
iogr-1185	156	50	the	the	DET
iogr-1185	156	51	proppant	proppant	ADJ
iogr-1185	156	52	density	density	NOUN
iogr-1185	156	53	,	,	PUNCT
iogr-1185	156	54	kg	kg	PROPN
iogr-1185	156	55	/	/	SYM
iogr-1185	156	56	m3	m3	PROPN
iogr-1185	156	57	;	;	PUNCT
iogr-1185	156	58	𝜌f	𝜌f	ADV
iogr-1185	156	59	is	be	AUX
iogr-1185	156	60	the	the	DET
iogr-1185	156	61	fluid	fluid	ADJ
iogr-1185	156	62	density	density	NOUN
iogr-1185	156	63	,	,	PUNCT
iogr-1185	156	64	kg	kg	PROPN
iogr-1185	156	65	/	/	SYM
iogr-1185	156	66	m3	m3	PROPN
iogr-1185	156	67	;	;	PUNCT
iogr-1185	156	68	and	and	CCONJ
iogr-1185	156	69	휀	휀	PRON
iogr-1185	156	70	is	be	AUX
iogr-1185	156	71	a	a	DET
iogr-1185	156	72	constant	constant	ADJ
iogr-1185	156	73	,	,	PUNCT
iogr-1185	156	74	1.75	1.75	NUM
iogr-1185	156	75	cm3	cm3	NOUN
iogr-1185	156	76	/	/	SYM
iogr-1185	156	77	s2	s2	PROPN
iogr-1185	156	78	.	.	PUNCT
iogr-1185	157	1	the	the	DET
iogr-1185	157	2	pressure	pressure	NOUN
iogr-1185	157	3	that	that	PRON
iogr-1185	157	4	the	the	DET
iogr-1185	157	5	fracture	fracture	NOUN
iogr-1185	157	6	closure	closure	NOUN
iogr-1185	157	7	stress	stress	NOUN
iogr-1185	157	8	can	can	AUX
iogr-1185	157	9	resist	resist	VERB
iogr-1185	157	10	is	be	AUX
iogr-1185	157	11	a	a	DET
iogr-1185	157	12	function	function	NOUN
iogr-1185	157	13	of	of	ADP
iogr-1185	157	14	fracture	fracture	NOUN
iogr-1185	157	15	width	width	NOUN
iogr-1185	157	16	and	and	CCONJ
iogr-1185	157	17	fracture	fracture	NOUN
iogr-1185	157	18	closure	closure	NOUN
iogr-1185	157	19	stress	stress	NOUN
iogr-1185	157	20	,	,	PUNCT
iogr-1185	157	21	(	(	PUNCT
iogr-1185	157	22	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	157	23	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	157	24	)	)	PUNCT
iogr-1185	157	25	𝑠𝑡𝑎	𝑠𝑡𝑎	NOUN
iogr-1185	158	1	=	=	PUNCT
iogr-1185	158	2	𝑊𝑇𝑒𝑥𝑝	𝑊𝑇𝑒𝑥𝑝	PROPN
iogr-1185	159	1	[	[	X
iogr-1185	159	2	−0.5	−0.5	X
iogr-1185	159	3	(	(	PUNCT
iogr-1185	159	4	𝑙𝑛𝑝𝑛𝑒𝑡−𝑎′	𝑙𝑛𝑝𝑛𝑒𝑡−𝑎′	VERB
iogr-1185	159	5	𝑆𝑇	𝑆𝑇	PROPN
iogr-1185	159	6	)	)	PUNCT
iogr-1185	159	7	2	2	NUM
iogr-1185	159	8	]	]	PUNCT
iogr-1185	159	9	,	,	PUNCT
iogr-1185	159	10	…	…	PUNCT
iogr-1185	159	11	…	…	PUNCT
iogr-1185	159	12	…	…	PUNCT
iogr-1185	159	13	…	…	PUNCT
iogr-1185	159	14	…	…	PUNCT
iogr-1185	159	15	…	…	PUNCT
iogr-1185	159	16	…	…	PUNCT
iogr-1185	159	17	…	…	PUNCT
iogr-1185	159	18	…	…	PUNCT
iogr-1185	159	19	…	…	PUNCT
iogr-1185	159	20	…	…	PUNCT
iogr-1185	159	21	…	…	PUNCT
iogr-1185	159	22	…	…	PUNCT
iogr-1185	159	23	…	…	PUNCT
iogr-1185	159	24	…	…	PUNCT
iogr-1185	159	25	…	…	PUNCT
iogr-1185	159	26	…	…	PUNCT
iogr-1185	159	27	…	…	PUNCT
iogr-1185	159	28	…	…	PUNCT
iogr-1185	159	29	…	…	PUNCT
iogr-1185	159	30	…	…	PUNCT
iogr-1185	159	31	…	…	PUNCT
iogr-1185	159	32	…	…	PUNCT
iogr-1185	159	33	…	…	PUNCT
iogr-1185	159	34	(	(	PUNCT
iogr-1185	159	35	28	28	NUM
iogr-1185	159	36	)	)	PUNCT
iogr-1185	159	37	𝑊𝑇	𝑊𝑇	PROPN
iogr-1185	159	38	=	=	SYM
iogr-1185	159	39	1422.5exp(−1.0483𝑊𝑟),	1422.5exp(−1.0483𝑊𝑟),	NUM
iogr-1185	159	40	…	…	SYM
iogr-1185	159	41	…	…	PUNCT
iogr-1185	159	42	…	…	PUNCT
iogr-1185	159	43	…	…	PUNCT
iogr-1185	159	44	…	…	PUNCT
iogr-1185	159	45	…	…	PUNCT
iogr-1185	159	46	…	…	PUNCT
iogr-1185	159	47	…	…	PUNCT
iogr-1185	159	48	…	…	PUNCT
iogr-1185	159	49	…	…	PUNCT
iogr-1185	159	50	…	…	PUNCT
iogr-1185	159	51	…	…	PUNCT
iogr-1185	159	52	…	…	PUNCT
iogr-1185	159	53	…	…	PUNCT
iogr-1185	159	54	…	…	PUNCT
iogr-1185	159	55	…	…	PUNCT
iogr-1185	159	56	…	…	PUNCT
iogr-1185	159	57	…	…	PUNCT
iogr-1185	159	58	…	…	PUNCT
iogr-1185	159	59	…	…	PUNCT
iogr-1185	159	60	…	…	PUNCT
iogr-1185	159	61	…	…	PUNCT
iogr-1185	159	62	…	…	PUNCT
iogr-1185	159	63	…	…	PUNCT
iogr-1185	159	64	…	…	PUNCT
iogr-1185	159	65	…	…	SYM
iogr-1185	159	66	.(29	.(29	PRON
iogr-1185	159	67	)	)	PUNCT
iogr-1185	160	1	𝑊𝑟	𝑊𝑟	NOUN
iogr-1185	160	2	=	=	PUNCT
iogr-1185	160	3	𝑊𝑓	𝑊𝑓	PROPN
iogr-1185	160	4	𝑑	𝑑	PROPN
iogr-1185	160	5	,	,	PUNCT
iogr-1185	160	6	…	…	PUNCT
iogr-1185	160	7	…	…	PUNCT
iogr-1185	160	8	…	…	PUNCT
iogr-1185	160	9	…	…	PUNCT
iogr-1185	160	10	…	…	PUNCT
iogr-1185	160	11	…	…	PUNCT
iogr-1185	160	12	…	…	PUNCT
iogr-1185	160	13	…	…	PUNCT
iogr-1185	160	14	…	…	PUNCT
iogr-1185	160	15	…	…	PUNCT
iogr-1185	160	16	…	…	PUNCT
iogr-1185	160	17	…	…	PUNCT
iogr-1185	160	18	…	…	PUNCT
iogr-1185	160	19	…	…	PUNCT
iogr-1185	160	20	…	…	PUNCT
iogr-1185	160	21	…	…	PUNCT
iogr-1185	160	22	…	…	PUNCT
iogr-1185	160	23	…	…	PUNCT
iogr-1185	160	24	…	…	PUNCT
iogr-1185	160	25	…	…	PUNCT
iogr-1185	160	26	…	…	PUNCT
iogr-1185	160	27	…	…	PUNCT
iogr-1185	160	28	…	…	PUNCT
iogr-1185	160	29	…	…	PUNCT
iogr-1185	160	30	…	…	PUNCT
iogr-1185	160	31	…	…	PUNCT
iogr-1185	160	32	…	…	PUNCT
iogr-1185	160	33	…	…	PUNCT
iogr-1185	160	34	…	…	PUNCT
iogr-1185	160	35	…	…	PUNCT
iogr-1185	160	36	…	…	PUNCT
iogr-1185	160	37	…	…	PUNCT
iogr-1185	160	38	…	…	PUNCT
iogr-1185	160	39	…	…	PUNCT
iogr-1185	160	40	…	…	PUNCT
iogr-1185	160	41	..	..	PUNCT
iogr-1185	160	42	(	(	PUNCT
iogr-1185	160	43	30	30	NUM
iogr-1185	160	44	)	)	PUNCT
iogr-1185	160	45	where	where	SCONJ
iogr-1185	160	46	wf	wf	PROPN
iogr-1185	160	47	is	be	AUX
iogr-1185	160	48	the	the	DET
iogr-1185	160	49	fracture	fracture	ADJ
iogr-1185	160	50	width	width	NOUN
iogr-1185	160	51	,	,	PUNCT
iogr-1185	160	52	cm	cm	NOUN
iogr-1185	160	53	;	;	PUNCT
iogr-1185	160	54	d	d	X
iogr-1185	160	55	is	be	AUX
iogr-1185	160	56	the	the	DET
iogr-1185	160	57	proppant	proppant	ADJ
iogr-1185	160	58	diameter	diameter	NOUN
iogr-1185	160	59	,	,	PUNCT
iogr-1185	160	60	cm	cm	PROPN
iogr-1185	160	61	;	;	PUNCT
iogr-1185	160	62	pnet	pnet	PROPN
iogr-1185	160	63	is	be	AUX
iogr-1185	160	64	the	the	DET
iogr-1185	160	65	fracture	fracture	ADJ
iogr-1185	160	66	net	net	ADJ
iogr-1185	160	67	closure	closure	NOUN
iogr-1185	160	68	pressure	pressure	NOUN
iogr-1185	160	69	,	,	PUNCT
iogr-1185	160	70	pa	pa	PROPN
iogr-1185	160	71	;	;	PUNCT
iogr-1185	160	72	𝑎′	𝑎′	X
iogr-1185	160	73	is	be	AUX
iogr-1185	160	74	a	a	DET
iogr-1185	160	75	constant	constant	ADJ
iogr-1185	160	76	,	,	PUNCT
iogr-1185	160	77	7.7172	7.7172	NUM
iogr-1185	160	78	;	;	PUNCT
iogr-1185	160	79	and	and	CCONJ
iogr-1185	160	80	st	st	PROPN
iogr-1185	160	81	is	be	AUX
iogr-1185	160	82	a	a	DET
iogr-1185	160	83	function	function	NOUN
iogr-1185	160	84	of	of	ADP
iogr-1185	160	85	apparent	apparent	ADJ
iogr-1185	160	86	strength	strength	NOUN
iogr-1185	160	87	of	of	ADP
iogr-1185	160	88	proppant	proppant	NOUN
iogr-1185	160	89	.	.	PUNCT
iogr-1185	161	1	𝑆𝑇	𝑆𝑇	PROPN
iogr-1185	161	2	=	=	SYM
iogr-1185	161	3	3	3	NUM
iogr-1185	161	4	×	×	NOUN
iogr-1185	161	5	10−5s𝑀𝑎𝑥	10−5s𝑀𝑎𝑥	NUM
iogr-1185	161	6	+	+	CCONJ
iogr-1185	161	7	0.22368,	0.22368,	NUM
iogr-1185	161	8	…	…	SYM
iogr-1185	161	9	…	…	PUNCT
iogr-1185	161	10	…	…	PUNCT
iogr-1185	161	11	…	…	PUNCT
iogr-1185	161	12	…	…	PUNCT
iogr-1185	161	13	…	…	PUNCT
iogr-1185	161	14	…	…	PUNCT
iogr-1185	161	15	…	…	PUNCT
iogr-1185	161	16	…	…	PUNCT
iogr-1185	161	17	…	…	PUNCT
iogr-1185	161	18	…	…	PUNCT
iogr-1185	161	19	…	…	PUNCT
iogr-1185	161	20	…	…	PUNCT
iogr-1185	161	21	…	…	PUNCT
iogr-1185	161	22	…	…	PUNCT
iogr-1185	161	23	…	…	PUNCT
iogr-1185	161	24	…	…	PUNCT
iogr-1185	161	25	…	…	PUNCT
iogr-1185	161	26	…	…	PUNCT
iogr-1185	161	27	…	…	PUNCT
iogr-1185	161	28	…	…	PUNCT
iogr-1185	161	29	…	…	PUNCT
iogr-1185	161	30	…	…	PUNCT
iogr-1185	161	31	…	…	PUNCT
iogr-1185	161	32	…	…	PUNCT
iogr-1185	161	33	…	…	PUNCT
iogr-1185	161	34	..	..	PUNCT
iogr-1185	161	35	(31	(31	X
iogr-1185	161	36	)	)	PUNCT
iogr-1185	161	37	where	where	SCONJ
iogr-1185	161	38	smax	smax	PROPN
iogr-1185	161	39	is	be	AUX
iogr-1185	161	40	the	the	DET
iogr-1185	161	41	apparent	apparent	ADJ
iogr-1185	161	42	proppant	proppant	NOUN
iogr-1185	161	43	strength	strength	NOUN
iogr-1185	161	44	.	.	PUNCT
iogr-1185	162	1	according	accord	VERB
iogr-1185	162	2	to	to	ADP
iogr-1185	162	3	the	the	DET
iogr-1185	162	4	stress	stress	NOUN
iogr-1185	162	5	and	and	CCONJ
iogr-1185	162	6	deformation	deformation	NOUN
iogr-1185	162	7	of	of	ADP
iogr-1185	162	8	the	the	DET
iogr-1185	162	9	element	element	NOUN
iogr-1185	162	10	,	,	PUNCT
iogr-1185	162	11	the	the	DET
iogr-1185	162	12	fracture	fracture	ADJ
iogr-1185	162	13	width	width	NOUN
iogr-1185	162	14	is	be	AUX
iogr-1185	162	15	calculated	calculate	VERB
iogr-1185	162	16	by	by	ADP
iogr-1185	162	17	the	the	DET
iogr-1185	162	18	constitutive	constitutive	ADJ
iogr-1185	162	19	model	model	NOUN
iogr-1185	162	20	of	of	ADP
iogr-1185	162	21	the	the	DET
iogr-1185	162	22	fracture	fracture	NOUN
iogr-1185	162	23	.	.	PUNCT
iogr-1185	163	1	in	in	ADP
iogr-1185	163	2	this	this	DET
iogr-1185	163	3	study	study	NOUN
iogr-1185	163	4	,	,	PUNCT
iogr-1185	163	5	we	we	PRON
iogr-1185	163	6	adopted	adopt	VERB
iogr-1185	163	7	barton	barton	PROPN
iogr-1185	163	8	et	et	PROPN
iogr-1185	163	9	al	al	PROPN
iogr-1185	163	10	.	.	PROPN
iogr-1185	163	11	’s	’s	PART
iogr-1185	163	12	(	(	PUNCT
iogr-1185	163	13	1985	1985	NUM
iogr-1185	163	14	)	)	PUNCT
iogr-1185	163	15	constitutive	constitutive	ADJ
iogr-1185	163	16	model	model	NOUN
iogr-1185	163	17	to	to	PART
iogr-1185	163	18	calculate	calculate	VERB
iogr-1185	163	19	fracture	fracture	PROPN
iogr-1185	163	20	width	width	NOUN
iogr-1185	163	21	.	.	PUNCT
iogr-1185	164	1	barton	barton	PROPN
iogr-1185	164	2	et	et	PROPN
iogr-1185	164	3	al	al	PROPN
iogr-1185	164	4	.	.	PROPN
iogr-1185	165	1	(	(	PUNCT
iogr-1185	165	2	1985	1985	NUM
iogr-1185	165	3	)	)	PUNCT
iogr-1185	165	4	proposed	propose	VERB
iogr-1185	165	5	an	an	DET
iogr-1185	165	6	empirical	empirical	ADJ
iogr-1185	165	7	correlation	correlation	NOUN
iogr-1185	165	8	between	between	ADP
iogr-1185	165	9	mechanical	mechanical	ADJ
iogr-1185	165	10	aperture	aperture	NOUN
iogr-1185	165	11	,	,	PUNCT
iogr-1185	165	12	am	be	AUX
iogr-1185	165	13	,	,	PUNCT
iogr-1185	165	14	and	and	CCONJ
iogr-1185	165	15	hydraulic	hydraulic	ADJ
iogr-1185	165	16	aperture	aperture	NOUN
iogr-1185	165	17	,	,	PUNCT
iogr-1185	165	18	wf	wf	PROPN
iogr-1185	165	19	,	,	PUNCT
iogr-1185	165	20	on	on	ADP
iogr-1185	165	21	the	the	DET
iogr-1185	165	22	basis	basis	NOUN
iogr-1185	165	23	of	of	ADP
iogr-1185	165	24	experimental	experimental	ADJ
iogr-1185	165	25	data	datum	NOUN
iogr-1185	165	26	:	:	PUNCT
iogr-1185	165	27	𝑤𝑓	𝑤𝑓	PROPN
iogr-1185	165	28	=	=	PRON
iogr-1185	165	29	{	{	PUNCT
iogr-1185	166	1	𝑎𝑚	𝑎𝑚	NOUN
iogr-1185	166	2	2	2	NUM
iogr-1185	166	3	𝐽𝑅𝐶−2.5	𝐽𝑅𝐶−2.5	NOUN
iogr-1185	166	4	𝛿ℎ	𝛿ℎ	NOUN
iogr-1185	166	5	≤	≤	ADJ
iogr-1185	166	6	0.75𝛿𝑝𝑒𝑎𝑘	0.75𝛿𝑝𝑒𝑎𝑘	NOUN
iogr-1185	166	7	√𝑎𝑚𝐽𝑅𝐶𝑚𝑜𝑏	√𝑎𝑚𝐽𝑅𝐶𝑚𝑜𝑏	X
iogr-1185	166	8	𝛿ℎ	𝛿ℎ	PROPN
iogr-1185	166	9	>	>	X
iogr-1185	166	10	𝛿𝑝𝑒𝑎𝑘	𝛿𝑝𝑒𝑎𝑘	PROPN
iogr-1185	166	11	,	,	PUNCT
iogr-1185	166	12	,	,	PUNCT
iogr-1185	166	13	…	…	PUNCT
iogr-1185	166	14	…	…	PUNCT
iogr-1185	166	15	…	…	SYM
iogr-1185	166	16	.	.	NUM
iogr-1185	166	17	…	…	PUNCT
iogr-1185	166	18	…	…	PUNCT
iogr-1185	166	19	…	…	PUNCT
iogr-1185	166	20	…	…	PUNCT
iogr-1185	166	21	…	…	PUNCT
iogr-1185	166	22	…	…	PUNCT
iogr-1185	166	23	…	…	PUNCT
iogr-1185	166	24	…	…	PUNCT
iogr-1185	166	25	…	…	PUNCT
iogr-1185	166	26	…	…	PUNCT
iogr-1185	166	27	…	…	PUNCT
iogr-1185	166	28	…	…	PUNCT
iogr-1185	166	29	…	…	PUNCT
iogr-1185	166	30	…	…	PUNCT
iogr-1185	166	31	…	…	PUNCT
iogr-1185	166	32	…	…	PUNCT
iogr-1185	166	33	…	…	PUNCT
iogr-1185	166	34	…	…	PUNCT
iogr-1185	166	35	.....	.....	PUNCT
iogr-1185	166	36	(32	(32	PROPN
iogr-1185	166	37	)	)	PUNCT
iogr-1185	166	38	where	where	SCONJ
iogr-1185	166	39	jrc	jrc	PROPN
iogr-1185	166	40	is	be	AUX
iogr-1185	166	41	the	the	DET
iogr-1185	166	42	joint	joint	ADJ
iogr-1185	166	43	roughness	roughness	NOUN
iogr-1185	166	44	coefficient	coefficient	NOUN
iogr-1185	166	45	;	;	PUNCT
iogr-1185	166	46	jrcmob	jrcmob	NOUN
iogr-1185	166	47	is	be	AUX
iogr-1185	166	48	the	the	DET
iogr-1185	166	49	mobilized	mobilize	VERB
iogr-1185	166	50	value	value	NOUN
iogr-1185	166	51	of	of	ADP
iogr-1185	166	52	jrc	jrc	PROPN
iogr-1185	166	53	;	;	PUNCT
iogr-1185	166	54	𝛿	𝛿	PRON
iogr-1185	166	55	is	be	AUX
iogr-1185	166	56	the	the	DET
iogr-1185	166	57	shear	shear	NOUN
iogr-1185	166	58	displacement	displacement	NOUN
iogr-1185	166	59	in	in	ADP
iogr-1185	166	60	the	the	DET
iogr-1185	166	61	horizontal	horizontal	ADJ
iogr-1185	166	62	direction	direction	NOUN
iogr-1185	166	63	;	;	PUNCT
iogr-1185	166	64	h	h	NOUN
iogr-1185	166	65	and	and	CCONJ
iogr-1185	166	66	v	v	NOUN
iogr-1185	166	67	are	be	AUX
iogr-1185	166	68	horizontal	horizontal	ADJ
iogr-1185	166	69	and	and	CCONJ
iogr-1185	166	70	vertical	vertical	ADJ
iogr-1185	166	71	,	,	PUNCT
iogr-1185	166	72	respectively	respectively	ADV
iogr-1185	166	73	;	;	PUNCT
iogr-1185	166	74	and	and	CCONJ
iogr-1185	166	75	𝑤𝑓is	𝑤𝑓is	ADP
iogr-1185	166	76	the	the	DET
iogr-1185	166	77	fracture	fracture	PROPN
iogr-1185	166	78	width	width	NOUN
iogr-1185	166	79	of	of	ADP
iogr-1185	166	80	the	the	DET
iogr-1185	166	81	smooth	smooth	ADJ
iogr-1185	166	82	fracture	fracture	PROPN
iogr-1185	166	83	wall	wall	NOUN
iogr-1185	166	84	,	,	PUNCT
iogr-1185	166	85	which	which	PRON
iogr-1185	166	86	is	be	AUX
iogr-1185	166	87	the	the	DET
iogr-1185	166	88	fracture	fracture	ADJ
iogr-1185	166	89	width	width	NOUN
iogr-1185	166	90	used	use	VERB
iogr-1185	166	91	in	in	ADP
iogr-1185	166	92	this	this	DET
iogr-1185	166	93	study	study	NOUN
iogr-1185	166	94	.	.	PUNCT
iogr-1185	167	1	note	note	VERB
iogr-1185	167	2	that	that	SCONJ
iogr-1185	167	3	a	a	DET
iogr-1185	167	4	linear	linear	ADJ
iogr-1185	167	5	interpolation	interpolation	NOUN
iogr-1185	167	6	determines	determine	VERB
iogr-1185	167	7	the	the	DET
iogr-1185	167	8	hydraulic	hydraulic	ADJ
iogr-1185	167	9	aperture	aperture	NOUN
iogr-1185	167	10	value	value	NOUN
iogr-1185	167	11	when	when	SCONJ
iogr-1185	167	12	0.75	0.75	NUM
iogr-1185	167	13	<	<	X
iogr-1185	167	14	𝛿ℎ/𝛿𝑝𝑒𝑎𝑘	𝛿ℎ/𝛿𝑝𝑒𝑎𝑘	PROPN
iogr-1185	167	15	<	<	X
iogr-1185	167	16	1.0	1.0	NUM
iogr-1185	167	17	,	,	PUNCT
iogr-1185	167	18	and	and	CCONJ
iogr-1185	167	19	both	both	PRON
iogr-1185	167	20	am	be	AUX
iogr-1185	167	21	and	and	CCONJ
iogr-1185	167	22	wf	wf	PROPN
iogr-1185	167	23	are	be	AUX
iogr-1185	167	24	in	in	ADP
iogr-1185	167	25	the	the	DET
iogr-1185	167	26	unit	unit	NOUN
iogr-1185	167	27	of	of	ADP
iogr-1185	167	28	mm	mm	PROPN
iogr-1185	167	29	.	.	PUNCT
iogr-1185	168	1	given	give	VERB
iogr-1185	168	2	the	the	DET
iogr-1185	168	3	fracture	fracture	NOUN
iogr-1185	168	4	stress	stress	NOUN
iogr-1185	168	5	state	state	NOUN
iogr-1185	168	6	,	,	PUNCT
iogr-1185	168	7	the	the	DET
iogr-1185	168	8	mechanical	mechanical	ADJ
iogr-1185	168	9	aperture	aperture	NOUN
iogr-1185	168	10	can	can	AUX
iogr-1185	168	11	be	be	AUX
iogr-1185	168	12	calculated	calculate	VERB
iogr-1185	168	13	as	as	ADP
iogr-1185	168	14	(	(	PUNCT
iogr-1185	168	15	li	li	PROPN
iogr-1185	168	16	et	et	PROPN
iogr-1185	168	17	al	al	PROPN
iogr-1185	168	18	.	.	PROPN
iogr-1185	168	19	2017	2017	NUM
iogr-1185	168	20	):	):	PUNCT
iogr-1185	168	21	𝑎𝑚	𝑎𝑚	NOUN
iogr-1185	168	22	=	=	SYM
iogr-1185	168	23	𝑎0	𝑎0	PROPN
iogr-1185	168	24	−	−	NOUN
iogr-1185	168	25	∆𝑎𝑛	∆𝑎𝑛	PROPN
iogr-1185	169	1	+	+	CCONJ
iogr-1185	169	2	𝛿𝑣	𝛿𝑣	PROPN
iogr-1185	169	3	…	…	PUNCT
iogr-1185	169	4	…	…	PUNCT
iogr-1185	169	5	…	…	PUNCT
iogr-1185	169	6	…	…	PUNCT
iogr-1185	169	7	…	…	PUNCT
iogr-1185	169	8	…	…	PUNCT
iogr-1185	169	9	…	…	PUNCT
iogr-1185	169	10	…	…	PUNCT
iogr-1185	169	11	…	…	PUNCT
iogr-1185	169	12	…	…	PUNCT
iogr-1185	169	13	…	…	PUNCT
iogr-1185	169	14	…	…	PUNCT
iogr-1185	169	15	…	…	PUNCT
iogr-1185	169	16	…	…	PUNCT
iogr-1185	169	17	…	…	PUNCT
iogr-1185	169	18	…	…	PUNCT
iogr-1185	169	19	…	…	PUNCT
iogr-1185	169	20	…	…	PUNCT
iogr-1185	169	21	…	…	PUNCT
iogr-1185	169	22	…	…	PUNCT
iogr-1185	169	23	…	…	PUNCT
iogr-1185	169	24	…	…	PUNCT
iogr-1185	169	25	…	…	PUNCT
iogr-1185	169	26	…	…	PUNCT
iogr-1185	169	27	…	…	PUNCT
iogr-1185	169	28	…	…	PUNCT
iogr-1185	169	29	…	…	PUNCT
iogr-1185	169	30	…	…	PUNCT
iogr-1185	169	31	…	…	PUNCT
iogr-1185	169	32	…	…	PUNCT
iogr-1185	169	33	.....	.....	PUNCT
iogr-1185	169	34	(	(	PUNCT
iogr-1185	169	35	33	33	NUM
iogr-1185	169	36	)	)	PUNCT
iogr-1185	169	37	fracture	fracture	NOUN
iogr-1185	169	38	closure	closure	NOUN
iogr-1185	169	39	stress	stress	NOUN
iogr-1185	169	40	refers	refer	VERB
iogr-1185	169	41	to	to	ADP
iogr-1185	169	42	the	the	DET
iogr-1185	169	43	force	force	NOUN
iogr-1185	169	44	on	on	ADP
iogr-1185	169	45	the	the	DET
iogr-1185	169	46	fracture	fracture	NOUN
iogr-1185	169	47	wall	wall	NOUN
iogr-1185	169	48	required	require	VERB
iogr-1185	169	49	to	to	PART
iogr-1185	169	50	close	close	VERB
iogr-1185	169	51	the	the	DET
iogr-1185	169	52	fracture	fracture	NOUN
iogr-1185	169	53	after	after	ADP
iogr-1185	169	54	shut	shut	NOUN
iogr-1185	169	55	-	-	PUNCT
iogr-1185	169	56	in	in	ADP
iogr-1185	169	57	.	.	PUNCT
iogr-1185	170	1	fracture	fracture	NOUN
iogr-1185	170	2	closure	closure	NOUN
iogr-1185	170	3	stress	stress	NOUN
iogr-1185	170	4	is	be	AUX
iogr-1185	170	5	an	an	DET
iogr-1185	170	6	important	important	ADJ
iogr-1185	170	7	factor	factor	NOUN
iogr-1185	170	8	that	that	PRON
iogr-1185	170	9	affects	affect	VERB
iogr-1185	170	10	fracture	fracture	NOUN
iogr-1185	170	11	conductivity	conductivity	NOUN
iogr-1185	170	12	and	and	CCONJ
iogr-1185	170	13	can	can	AUX
iogr-1185	170	14	be	be	AUX
iogr-1185	170	15	calculated	calculate	VERB
iogr-1185	170	16	from	from	ADP
iogr-1185	170	17	the	the	DET
iogr-1185	170	18	instantaneous	instantaneous	ADJ
iogr-1185	170	19	shut	shut	NOUN
iogr-1185	170	20	-	-	PUNCT
iogr-1185	170	21	in	in	ADP
iogr-1185	170	22	pressure	pressure	NOUN
iogr-1185	170	23	at	at	ADP
iogr-1185	170	24	the	the	DET
iogr-1185	170	25	wellhead	wellhead	NOUN
iogr-1185	170	26	,	,	PUNCT
iogr-1185	170	27	the	the	DET
iogr-1185	170	28	fluid	fluid	ADJ
iogr-1185	170	29	column	column	NOUN
iogr-1185	170	30	pressure	pressure	NOUN
iogr-1185	170	31	,	,	PUNCT
iogr-1185	170	32	and	and	CCONJ
iogr-1185	170	33	the	the	DET
iogr-1185	170	34	reservoir	reservoir	NOUN
iogr-1185	170	35	pressure	pressure	NOUN
iogr-1185	170	36	.	.	PUNCT
iogr-1185	171	1	in	in	ADP
iogr-1185	171	2	addition	addition	NOUN
iogr-1185	171	3	,	,	PUNCT
iogr-1185	171	4	the	the	DET
iogr-1185	171	5	minimal	minimal	ADJ
iogr-1185	171	6	horizontal	horizontal	ADJ
iogr-1185	171	7	stress	stress	NOUN
iogr-1185	171	8	of	of	ADP
iogr-1185	171	9	the	the	DET
iogr-1185	171	10	formation	formation	NOUN
iogr-1185	171	11	affects	affect	VERB
iogr-1185	171	12	the	the	DET
iogr-1185	171	13	fracture	fracture	NOUN
iogr-1185	171	14	closure	closure	NOUN
iogr-1185	171	15	stress	stress	NOUN
iogr-1185	171	16	.	.	PUNCT
iogr-1185	172	1	on	on	ADP
iogr-1185	172	2	the	the	DET
iogr-1185	172	3	basis	basis	NOUN
iogr-1185	172	4	of	of	ADP
iogr-1185	172	5	the	the	DET
iogr-1185	172	6	study	study	NOUN
iogr-1185	172	7	of	of	ADP
iogr-1185	172	8	triaxial	triaxial	ADJ
iogr-1185	172	9	stress	stress	NOUN
iogr-1185	172	10	and	and	CCONJ
iogr-1185	172	11	mechanical	mechanical	ADJ
iogr-1185	172	12	parameters	parameter	NOUN
iogr-1185	172	13	of	of	ADP
iogr-1185	172	14	rock	rock	NOUN
iogr-1185	172	15	,	,	PUNCT
iogr-1185	172	16	an	an	DET
iogr-1185	172	17	equation	equation	NOUN
iogr-1185	172	18	for	for	ADP
iogr-1185	172	19	closure	closure	NOUN
iogr-1185	172	20	stress	stress	NOUN
iogr-1185	172	21	was	be	AUX
iogr-1185	172	22	derived	derive	VERB
iogr-1185	172	23	as	as	ADP
iogr-1185	172	24	𝑝𝑛𝑒𝑡	𝑝𝑛𝑒𝑡	NOUN
iogr-1185	172	25	=	=	SYM
iogr-1185	172	26	𝛾	𝛾	X
iogr-1185	172	27	1−𝛾	1−𝛾	NUM
iogr-1185	172	28	s𝑣+𝑆ℎ𝑖+𝐴𝑝𝑒×	s𝑣+𝑆ℎ𝑖+𝐴𝑝𝑒×	VERB
iogr-1185	172	29	𝑝𝑖	𝑝𝑖	NOUN
iogr-1185	172	30	2	2	NUM
iogr-1185	172	31	1−	1−	NUM
iogr-1185	172	32	𝐴𝑝𝑒	𝐴𝑝𝑒	PROPN
iogr-1185	172	33	2	2	NUM
iogr-1185	172	34	…	…	PUNCT
iogr-1185	172	35	…	…	PUNCT
iogr-1185	172	36	…	…	PUNCT
iogr-1185	172	37	…	…	PUNCT
iogr-1185	172	38	…	…	PUNCT
iogr-1185	172	39	…	…	PUNCT
iogr-1185	172	40	…	…	PUNCT
iogr-1185	172	41	…	…	PUNCT
iogr-1185	172	42	…	…	PUNCT
iogr-1185	172	43	...	...	PUNCT
iogr-1185	172	44	…	…	PUNCT
iogr-1185	172	45	…	…	PUNCT
iogr-1185	172	46	…	…	PUNCT
iogr-1185	172	47	…	…	PUNCT
iogr-1185	172	48	…	…	PUNCT
iogr-1185	172	49	…	…	PUNCT
iogr-1185	172	50	…	…	PUNCT
iogr-1185	172	51	…	…	PUNCT
iogr-1185	172	52	…	…	PUNCT
iogr-1185	172	53	…	…	PUNCT
iogr-1185	172	54	…	…	PUNCT
iogr-1185	172	55	…	…	PUNCT
iogr-1185	172	56	…	…	PUNCT
iogr-1185	172	57	…	…	PUNCT
iogr-1185	172	58	…	…	PUNCT
iogr-1185	172	59	…	…	PUNCT
iogr-1185	172	60	…	…	PUNCT
iogr-1185	172	61	…	…	PUNCT
iogr-1185	172	62	…	…	PUNCT
iogr-1185	172	63	…	…	PUNCT
iogr-1185	172	64	...	...	PUNCT
iogr-1185	172	65	(	(	PUNCT
iogr-1185	172	66	34	34	NUM
iogr-1185	172	67	)	)	PUNCT
iogr-1185	172	68	the	the	DET
iogr-1185	172	69	closure	closure	NOUN
iogr-1185	172	70	stresses	stress	NOUN
iogr-1185	172	71	in	in	ADP
iogr-1185	172	72	different	different	ADJ
iogr-1185	172	73	regions	region	NOUN
iogr-1185	172	74	can	can	AUX
iogr-1185	172	75	be	be	AUX
iogr-1185	172	76	obtained	obtain	VERB
iogr-1185	172	77	in	in	ADP
iogr-1185	172	78	field	field	NOUN
iogr-1185	172	79	tests	test	NOUN
iogr-1185	172	80	.	.	PUNCT
iogr-1185	173	1	if	if	SCONJ
iogr-1185	173	2	conditions	condition	NOUN
iogr-1185	173	3	permit	permit	VERB
iogr-1185	173	4	,	,	PUNCT
iogr-1185	173	5	the	the	DET
iogr-1185	173	6	best	good	ADJ
iogr-1185	173	7	methods	method	NOUN
iogr-1185	173	8	for	for	ADP
iogr-1185	173	9	obtaining	obtain	VERB
iogr-1185	173	10	closure	closure	NOUN
iogr-1185	173	11	stress	stress	NOUN
iogr-1185	173	12	are	be	AUX
iogr-1185	173	13	stepped	step	VERB
iogr-1185	173	14	injection	injection	NOUN
iogr-1185	173	15	,	,	PUNCT
iogr-1185	173	16	flowback	flowback	NOUN
iogr-1185	173	17	,	,	PUNCT
iogr-1185	173	18	and	and	CCONJ
iogr-1185	173	19	equilibrium	equilibrium	NOUN
iogr-1185	173	20	tests	test	NOUN
iogr-1185	173	21	prior	prior	ADV
iogr-1185	173	22	to	to	ADP
iogr-1185	173	23	hydraulic	hydraulic	ADJ
iogr-1185	173	24	10	10	NUM
iogr-1185	173	25	fracturing	fracturing	NOUN
iogr-1185	173	26	.	.	PUNCT
iogr-1185	174	1	otherwise	otherwise	ADV
iogr-1185	174	2	,	,	PUNCT
iogr-1185	174	3	the	the	DET
iogr-1185	174	4	closure	closure	NOUN
iogr-1185	174	5	stress	stress	NOUN
iogr-1185	174	6	can	can	AUX
iogr-1185	174	7	be	be	AUX
iogr-1185	174	8	estimated	estimate	VERB
iogr-1185	174	9	with	with	ADP
iogr-1185	174	10	eq	eq	NOUN
iogr-1185	174	11	.	.	PROPN
iogr-1185	174	12	33	33	NUM
iogr-1185	174	13	.	.	PUNCT
iogr-1185	175	1	if	if	SCONJ
iogr-1185	175	2	the	the	DET
iogr-1185	175	3	stability	stability	NOUN
iogr-1185	175	4	of	of	ADP
iogr-1185	175	5	the	the	DET
iogr-1185	175	6	proppant	proppant	NOUN
iogr-1185	175	7	filling	filling	NOUN
iogr-1185	175	8	layer	layer	NOUN
iogr-1185	175	9	is	be	AUX
iogr-1185	175	10	characterized	characterize	VERB
iogr-1185	175	11	with	with	ADP
iogr-1185	175	12	the	the	DET
iogr-1185	175	13	critical	critical	ADJ
iogr-1185	175	14	flow	flow	NOUN
iogr-1185	175	15	rate	rate	NOUN
iogr-1185	175	16	,	,	PUNCT
iogr-1185	175	17	the	the	DET
iogr-1185	175	18	darcy	darcy	PROPN
iogr-1185	175	19	equation	equation	NOUN
iogr-1185	175	20	can	can	AUX
iogr-1185	175	21	be	be	AUX
iogr-1185	175	22	introduced	introduce	VERB
iogr-1185	175	23	.	.	PUNCT
iogr-1185	176	1	𝑁𝑅𝑒	𝑁𝑅𝑒	PROPN
iogr-1185	176	2	<	<	X
iogr-1185	176	3	10	10	NUM
iogr-1185	176	4	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	176	5	𝑑𝑥	𝑑𝑥	VERB
iogr-1185	176	6	=	=	SYM
iogr-1185	176	7	𝜇	𝜇	ADP
iogr-1185	176	8	𝐾	𝐾	PROPN
iogr-1185	176	9	𝑣,	𝑣,	PROPN
iogr-1185	176	10	…	…	X
iogr-1185	176	11	…	…	PUNCT
iogr-1185	176	12	…	…	PUNCT
iogr-1185	176	13	…	…	PUNCT
iogr-1185	176	14	…	…	PUNCT
iogr-1185	176	15	…	…	PUNCT
iogr-1185	176	16	…	…	PUNCT
iogr-1185	176	17	…	…	PUNCT
iogr-1185	176	18	…	…	PUNCT
iogr-1185	176	19	…	…	PUNCT
iogr-1185	176	20	…	…	PUNCT
iogr-1185	176	21	…	…	PUNCT
iogr-1185	176	22	…	…	PUNCT
iogr-1185	176	23	…	…	PUNCT
iogr-1185	176	24	…	…	PUNCT
iogr-1185	176	25	…	…	PUNCT
iogr-1185	176	26	…	…	PUNCT
iogr-1185	176	27	…	…	PUNCT
iogr-1185	176	28	…	…	PUNCT
iogr-1185	176	29	…	…	PUNCT
iogr-1185	176	30	…	…	PUNCT
iogr-1185	176	31	…	…	PUNCT
iogr-1185	176	32	…	…	PUNCT
iogr-1185	176	33	…	…	PUNCT
iogr-1185	176	34	…	…	PUNCT
iogr-1185	176	35	…	…	SYM
iogr-1185	176	36	.(35	.(35	SYM
iogr-1185	176	37	)	)	PUNCT
iogr-1185	176	38	𝑁𝑅𝑒	𝑁𝑅𝑒	PROPN
iogr-1185	176	39	>	>	X
iogr-1185	177	1	10	10	NUM
iogr-1185	177	2	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	177	3	𝑑𝑥	𝑑𝑥	VERB
iogr-1185	177	4	=	=	PUNCT
iogr-1185	177	5	𝜇	𝜇	ADP
iogr-1185	177	6	𝐾	𝐾	PROPN
iogr-1185	177	7	𝑣	𝑣	PROPN
iogr-1185	177	8	+	+	PROPN
iogr-1185	177	9	𝛽𝜌𝑣2,	𝛽𝜌𝑣2,	NOUN
iogr-1185	177	10	…	…	SYM
iogr-1185	177	11	…	…	PUNCT
iogr-1185	177	12	…	…	PUNCT
iogr-1185	177	13	..	..	PUNCT
iogr-1185	177	14	…	…	PUNCT
iogr-1185	177	15	…	…	PUNCT
iogr-1185	177	16	…	…	PUNCT
iogr-1185	177	17	…	…	PUNCT
iogr-1185	177	18	…	…	PUNCT
iogr-1185	177	19	…	…	PUNCT
iogr-1185	177	20	…	…	PUNCT
iogr-1185	177	21	…	…	PUNCT
iogr-1185	177	22	…	…	PUNCT
iogr-1185	177	23	…	…	PUNCT
iogr-1185	177	24	…	…	PUNCT
iogr-1185	177	25	…	…	PUNCT
iogr-1185	177	26	…	…	PUNCT
iogr-1185	177	27	…	…	PUNCT
iogr-1185	177	28	…	…	PUNCT
iogr-1185	177	29	…	…	PUNCT
iogr-1185	177	30	…	…	PUNCT
iogr-1185	177	31	…	…	PUNCT
iogr-1185	177	32	…	…	PUNCT
iogr-1185	177	33	…	…	PUNCT
iogr-1185	177	34	…	…	PUNCT
iogr-1185	177	35	(36	(36	X
iogr-1185	177	36	)	)	PUNCT
iogr-1185	177	37	where	where	SCONJ
iogr-1185	177	38	μ	μ	PROPN
iogr-1185	177	39	is	be	AUX
iogr-1185	177	40	the	the	DET
iogr-1185	177	41	fluid	fluid	ADJ
iogr-1185	177	42	viscosity	viscosity	NOUN
iogr-1185	177	43	(	(	PUNCT
iogr-1185	177	44	pa·s	pa·s	PROPN
iogr-1185	177	45	)	)	PUNCT
iogr-1185	177	46	;	;	PUNCT
iogr-1185	177	47	v	v	X
iogr-1185	177	48	is	be	AUX
iogr-1185	177	49	the	the	DET
iogr-1185	177	50	seepage	seepage	NOUN
iogr-1185	177	51	velocity	velocity	NOUN
iogr-1185	177	52	(	(	PUNCT
iogr-1185	177	53	m	m	NOUN
iogr-1185	177	54	/	/	SYM
iogr-1185	177	55	s	s	PROPN
iogr-1185	177	56	)	)	PUNCT
iogr-1185	177	57	;	;	PUNCT
iogr-1185	177	58	ρ	ρ	PROPN
iogr-1185	177	59	is	be	AUX
iogr-1185	177	60	the	the	DET
iogr-1185	177	61	fluid	fluid	ADJ
iogr-1185	177	62	density	density	NOUN
iogr-1185	177	63	(	(	PUNCT
iogr-1185	177	64	kg	kg	NOUN
iogr-1185	177	65	/	/	SYM
iogr-1185	177	66	m3	m3	PROPN
iogr-1185	177	67	)	)	PUNCT
iogr-1185	177	68	;	;	PUNCT
iogr-1185	177	69	p	p	PRON
iogr-1185	177	70	is	be	AUX
iogr-1185	177	71	the	the	DET
iogr-1185	177	72	pressure	pressure	NOUN
iogr-1185	177	73	(	(	PUNCT
iogr-1185	177	74	pa	pa	PROPN
iogr-1185	177	75	)	)	PUNCT
iogr-1185	177	76	;	;	PUNCT
iogr-1185	177	77	β	β	X
iogr-1185	177	78	is	be	AUX
iogr-1185	177	79	the	the	DET
iogr-1185	177	80	seepage	seepage	NOUN
iogr-1185	177	81	velocity	velocity	NOUN
iogr-1185	177	82	(	(	PUNCT
iogr-1185	177	83	m–1	m–1	NUM
iogr-1185	177	84	)	)	PUNCT
iogr-1185	177	85	;	;	PUNCT
iogr-1185	177	86	and	and	CCONJ
iogr-1185	177	87	k	k	PROPN
iogr-1185	177	88	is	be	AUX
iogr-1185	177	89	the	the	DET
iogr-1185	177	90	permeability	permeability	NOUN
iogr-1185	177	91	(	(	PUNCT
iogr-1185	177	92	m2	m2	PROPN
iogr-1185	177	93	)	)	PUNCT
iogr-1185	177	94	.	.	PUNCT
iogr-1185	178	1	eqs	eqs	PROPN
iogr-1185	178	2	.	.	PROPN
iogr-1185	178	3	35	35	NUM
iogr-1185	178	4	and	and	CCONJ
iogr-1185	178	5	36	36	NUM
iogr-1185	178	6	were	be	AUX
iogr-1185	178	7	transformed	transform	VERB
iogr-1185	178	8	to	to	PART
iogr-1185	178	9	obtain	obtain	VERB
iogr-1185	178	10	the	the	DET
iogr-1185	178	11	critical	critical	ADJ
iogr-1185	178	12	fluid	fluid	ADJ
iogr-1185	178	13	velocity	velocity	NOUN
iogr-1185	178	14	for	for	ADP
iogr-1185	178	15	zero	zero	NUM
iogr-1185	178	16	proppant	proppant	NOUN
iogr-1185	178	17	production	production	NOUN
iogr-1185	178	18	after	after	ADP
iogr-1185	178	19	fracture	fracture	PROPN
iogr-1185	178	20	closure	closure	NOUN
iogr-1185	178	21	.	.	PUNCT
iogr-1185	179	1	𝑁𝑅𝑒	𝑁𝑅𝑒	PROPN
iogr-1185	179	2	<	<	X
iogr-1185	179	3	10	10	NUM
iogr-1185	179	4	𝑣	𝑣	NOUN
iogr-1185	179	5	=	=	SYM
iogr-1185	179	6	𝐾	𝐾	NOUN
iogr-1185	179	7	𝜇	𝜇	X
iogr-1185	179	8	(	(	PUNCT
iogr-1185	179	9	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	179	10	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	179	11	)	)	PUNCT
iogr-1185	179	12	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
iogr-1185	179	13	,	,	PUNCT
iogr-1185	179	14	…	…	PUNCT
iogr-1185	179	15	…	…	PUNCT
iogr-1185	179	16	…	…	PUNCT
iogr-1185	179	17	…	…	PUNCT
iogr-1185	179	18	…	…	PUNCT
iogr-1185	179	19	…	…	PUNCT
iogr-1185	179	20	…	…	PUNCT
iogr-1185	179	21	…	…	PUNCT
iogr-1185	179	22	…	…	PUNCT
iogr-1185	179	23	…	…	PUNCT
iogr-1185	179	24	…	…	PUNCT
iogr-1185	179	25	..	..	PUNCT
iogr-1185	179	26	…	…	PUNCT
iogr-1185	179	27	…	…	PUNCT
iogr-1185	179	28	…	…	PUNCT
iogr-1185	179	29	…	…	PUNCT
iogr-1185	179	30	…	…	PUNCT
iogr-1185	179	31	…	…	PUNCT
iogr-1185	179	32	…	…	PUNCT
iogr-1185	179	33	…	…	PUNCT
iogr-1185	179	34	…	…	PUNCT
iogr-1185	179	35	…	…	PUNCT
iogr-1185	179	36	…	…	PUNCT
iogr-1185	179	37	…	…	PUNCT
iogr-1185	179	38	…	…	PUNCT
iogr-1185	179	39	(	(	PUNCT
iogr-1185	179	40	37	37	NUM
iogr-1185	179	41	)	)	PUNCT
iogr-1185	179	42	𝑁𝑅𝑒	𝑁𝑅𝑒	PROPN
iogr-1185	179	43	>	>	X
iogr-1185	180	1	10	10	NUM
iogr-1185	180	2	𝑣	𝑣	NOUN
iogr-1185	180	3	=	=	PUNCT
iogr-1185	180	4	−	−	PROPN
iogr-1185	180	5	𝜇	𝜇	ADP
iogr-1185	180	6	𝐾	𝐾	PROPN
iogr-1185	180	7	+	+	NOUN
iogr-1185	180	8	√	√	PROPN
iogr-1185	180	9	(	(	PUNCT
iogr-1185	180	10	𝜇	𝜇	ADP
iogr-1185	180	11	𝐾	𝐾	PROPN
iogr-1185	180	12	)	)	PUNCT
iogr-1185	180	13	2	2	NUM
iogr-1185	180	14	+4𝜌𝛽	+4𝜌𝛽	NUM
iogr-1185	180	15	(	(	PUNCT
iogr-1185	180	16	𝑑𝑝	𝑑𝑝	NOUN
iogr-1185	180	17	𝑑𝑥	𝑑𝑥	NOUN
iogr-1185	180	18	)	)	PUNCT
iogr-1185	180	19	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
iogr-1185	180	20	2𝜌𝛽	2𝜌𝛽	NOUN
iogr-1185	180	21	…	…	PUNCT
iogr-1185	180	22	…	…	PUNCT
iogr-1185	180	23	..	..	PUNCT
iogr-1185	180	24	…	…	PUNCT
iogr-1185	180	25	…	…	PUNCT
iogr-1185	180	26	…	…	PUNCT
iogr-1185	180	27	…	…	PUNCT
iogr-1185	180	28	…	…	PUNCT
iogr-1185	180	29	…	…	PUNCT
iogr-1185	180	30	…	…	PUNCT
iogr-1185	180	31	…	…	PUNCT
iogr-1185	180	32	…	…	PUNCT
iogr-1185	180	33	…	…	PUNCT
iogr-1185	180	34	…	…	PUNCT
iogr-1185	180	35	…	…	PUNCT
iogr-1185	180	36	…	…	PUNCT
iogr-1185	180	37	…	…	PUNCT
iogr-1185	180	38	…	…	PUNCT
iogr-1185	180	39	…	…	PUNCT
iogr-1185	180	40	…	…	PUNCT
iogr-1185	180	41	…	…	PUNCT
iogr-1185	180	42	…	…	PUNCT
iogr-1185	180	43	…	…	PUNCT
iogr-1185	180	44	.(38	.(38	X
iogr-1185	180	45	)	)	PUNCT
iogr-1185	180	46	according	accord	VERB
iogr-1185	180	47	to	to	ADP
iogr-1185	180	48	eqs	eqs	PROPN
iogr-1185	180	49	.	.	PROPN
iogr-1185	180	50	37	37	NUM
iogr-1185	180	51	and	and	CCONJ
iogr-1185	180	52	38	38	NUM
iogr-1185	180	53	,	,	PUNCT
iogr-1185	180	54	the	the	DET
iogr-1185	180	55	fluid	fluid	NOUN
iogr-1185	180	56	within	within	ADP
iogr-1185	180	57	the	the	DET
iogr-1185	180	58	closed	closed	ADJ
iogr-1185	180	59	fracture	fracture	NOUN
iogr-1185	180	60	exhibits	exhibit	VERB
iogr-1185	180	61	mainly	mainly	ADV
iogr-1185	180	62	a	a	DET
iogr-1185	180	63	gas	gas	NOUN
iogr-1185	180	64	-	-	PUNCT
iogr-1185	180	65	liquid	liquid	ADJ
iogr-1185	180	66	flow	flow	NOUN
iogr-1185	180	67	for	for	ADP
iogr-1185	180	68	shale	shale	NOUN
iogr-1185	180	69	gas	gas	NOUN
iogr-1185	180	70	wells	well	NOUN
iogr-1185	180	71	.	.	PUNCT
iogr-1185	181	1	thus	thus	ADV
iogr-1185	181	2	,	,	PUNCT
iogr-1185	181	3	calculating	calculate	VERB
iogr-1185	181	4	the	the	DET
iogr-1185	181	5	critical	critical	ADJ
iogr-1185	181	6	fluid	fluid	ADJ
iogr-1185	181	7	velocity	velocity	NOUN
iogr-1185	181	8	for	for	ADP
iogr-1185	181	9	the	the	DET
iogr-1185	181	10	zero	zero	NUM
iogr-1185	181	11	proppant	proppant	NOUN
iogr-1185	181	12	production	production	NOUN
iogr-1185	181	13	after	after	SCONJ
iogr-1185	181	14	the	the	DET
iogr-1185	181	15	fracture	fracture	NOUN
iogr-1185	181	16	closure	closure	NOUN
iogr-1185	181	17	requires	require	VERB
iogr-1185	181	18	the	the	DET
iogr-1185	181	19	maximum	maximum	ADJ
iogr-1185	181	20	stable	stable	ADJ
iogr-1185	181	21	pressure	pressure	NOUN
iogr-1185	181	22	drop	drop	NOUN
iogr-1185	181	23	gradient	gradient	NOUN
iogr-1185	181	24	of	of	ADP
iogr-1185	181	25	the	the	DET
iogr-1185	181	26	proppant	proppant	NOUN
iogr-1185	181	27	-	-	PUNCT
iogr-1185	181	28	filling	fill	VERB
iogr-1185	181	29	layer	layer	NOUN
iogr-1185	181	30	,	,	PUNCT
iogr-1185	181	31	mixed	mixed	ADJ
iogr-1185	181	32	fluid	fluid	NOUN
iogr-1185	181	33	viscosity	viscosity	NOUN
iogr-1185	181	34	,	,	PUNCT
iogr-1185	181	35	and	and	CCONJ
iogr-1185	181	36	mixed	mixed	ADJ
iogr-1185	181	37	fluid	fluid	ADJ
iogr-1185	181	38	density	density	NOUN
iogr-1185	181	39	within	within	ADP
iogr-1185	181	40	the	the	DET
iogr-1185	181	41	fracture	fracture	NOUN
iogr-1185	181	42	.	.	PUNCT
iogr-1185	182	1	full	full	ADJ
iogr-1185	182	2	model	model	NOUN
iogr-1185	182	3	coupling	coupling	NOUN
iogr-1185	182	4	.	.	PUNCT
iogr-1185	183	1	by	by	ADP
iogr-1185	183	2	coupling	couple	VERB
iogr-1185	183	3	the	the	DET
iogr-1185	183	4	proppant	proppant	ADJ
iogr-1185	183	5	transport	transport	NOUN
iogr-1185	183	6	model	model	NOUN
iogr-1185	183	7	,	,	PUNCT
iogr-1185	183	8	fluid	fluid	NOUN
iogr-1185	183	9	-	-	PUNCT
iogr-1185	183	10	solid	solid	ADJ
iogr-1185	183	11	coupling	coupling	NOUN
iogr-1185	183	12	model	model	NOUN
iogr-1185	183	13	,	,	PUNCT
iogr-1185	183	14	and	and	CCONJ
iogr-1185	183	15	gasliquid	gasliquid	VERB
iogr-1185	183	16	two	two	NUM
iogr-1185	183	17	-	-	PUNCT
iogr-1185	183	18	phase	phase	NOUN
iogr-1185	183	19	tubing	tubing	NOUN
iogr-1185	183	20	flow	flow	NOUN
iogr-1185	183	21	models	model	NOUN
iogr-1185	183	22	,	,	PUNCT
iogr-1185	183	23	the	the	DET
iogr-1185	183	24	optimal	optimal	ADJ
iogr-1185	183	25	flowback	flowback	NOUN
iogr-1185	183	26	velocity	velocity	NOUN
iogr-1185	183	27	for	for	ADP
iogr-1185	183	28	the	the	DET
iogr-1185	183	29	stable	stable	ADJ
iogr-1185	183	30	proppant	proppant	NOUN
iogr-1185	183	31	-	-	PUNCT
iogr-1185	183	32	filling	fill	VERB
iogr-1185	183	33	layer	layer	NOUN
iogr-1185	183	34	and	and	CCONJ
iogr-1185	183	35	minimal	minimal	ADJ
iogr-1185	183	36	fluid	fluid	ADJ
iogr-1185	183	37	loss	loss	NOUN
iogr-1185	183	38	could	could	AUX
iogr-1185	183	39	be	be	AUX
iogr-1185	183	40	calculated	calculate	VERB
iogr-1185	183	41	with	with	ADP
iogr-1185	183	42	the	the	DET
iogr-1185	183	43	optimization	optimization	NOUN
iogr-1185	183	44	algorithm	algorithm	NOUN
iogr-1185	183	45	;	;	PUNCT
iogr-1185	183	46	in	in	ADP
iogr-1185	183	47	addition	addition	NOUN
iogr-1185	183	48	,	,	PUNCT
iogr-1185	183	49	the	the	DET
iogr-1185	183	50	choke	choke	NOUN
iogr-1185	183	51	size	size	NOUN
iogr-1185	183	52	for	for	ADP
iogr-1185	183	53	the	the	DET
iogr-1185	183	54	fluid	fluid	ADJ
iogr-1185	183	55	flowback	flowback	NOUN
iogr-1185	183	56	was	be	AUX
iogr-1185	183	57	adjusted	adjust	VERB
iogr-1185	183	58	by	by	ADP
iogr-1185	183	59	observing	observe	VERB
iogr-1185	183	60	the	the	DET
iogr-1185	183	61	wellhead	wellhead	NOUN
iogr-1185	183	62	pressure	pressure	NOUN
iogr-1185	183	63	.	.	PUNCT
iogr-1185	184	1	explicit	explicit	ADJ
iogr-1185	184	2	iteration	iteration	NOUN
iogr-1185	184	3	was	be	AUX
iogr-1185	184	4	used	use	VERB
iogr-1185	184	5	to	to	PART
iogr-1185	184	6	couple	couple	VERB
iogr-1185	184	7	the	the	DET
iogr-1185	184	8	fracture	fracture	NOUN
iogr-1185	184	9	model	model	NOUN
iogr-1185	184	10	and	and	CCONJ
iogr-1185	184	11	the	the	DET
iogr-1185	184	12	proppant	proppant	NOUN
iogr-1185	184	13	migration	migration	NOUN
iogr-1185	184	14	model	model	NOUN
iogr-1185	184	15	(	(	PUNCT
iogr-1185	184	16	figure	figure	NOUN
iogr-1185	184	17	4	4	NUM
iogr-1185	184	18	)	)	PUNCT
iogr-1185	184	19	.	.	PUNCT
iogr-1185	185	1	firstly	firstly	ADV
iogr-1185	185	2	,	,	PUNCT
iogr-1185	185	3	fem	fem	PROPN
iogr-1185	185	4	was	be	AUX
iogr-1185	185	5	used	use	VERB
iogr-1185	185	6	to	to	PART
iogr-1185	185	7	simulate	simulate	VERB
iogr-1185	185	8	the	the	DET
iogr-1185	185	9	current	current	ADJ
iogr-1185	185	10	time	time	NOUN
iogr-1185	185	11	-	-	PUNCT
iogr-1185	185	12	step	step	NOUN
iogr-1185	185	13	evolution	evolution	NOUN
iogr-1185	185	14	process	process	NOUN
iogr-1185	185	15	of	of	ADP
iogr-1185	185	16	fracture	fracture	NOUN
iogr-1185	185	17	width	width	NOUN
iogr-1185	185	18	,	,	PUNCT
iogr-1185	185	19	and	and	CCONJ
iogr-1185	185	20	then	then	ADV
iogr-1185	185	21	the	the	DET
iogr-1185	185	22	proppant	proppant	NOUN
iogr-1185	185	23	migration	migration	NOUN
iogr-1185	185	24	was	be	AUX
iogr-1185	185	25	simulated	simulate	VERB
iogr-1185	185	26	to	to	PART
iogr-1185	185	27	obtain	obtain	VERB
iogr-1185	185	28	the	the	DET
iogr-1185	185	29	concentration	concentration	NOUN
iogr-1185	185	30	distribution	distribution	NOUN
iogr-1185	185	31	.	.	PUNCT
iogr-1185	186	1	then	then	ADV
iogr-1185	186	2	,	,	PUNCT
iogr-1185	186	3	the	the	DET
iogr-1185	186	4	proppant	proppant	ADJ
iogr-1185	186	5	distribution	distribution	NOUN
iogr-1185	186	6	was	be	AUX
iogr-1185	186	7	used	use	VERB
iogr-1185	186	8	to	to	PART
iogr-1185	186	9	update	update	VERB
iogr-1185	186	10	the	the	DET
iogr-1185	186	11	viscosity	viscosity	NOUN
iogr-1185	186	12	of	of	ADP
iogr-1185	186	13	sand	sand	NOUN
iogr-1185	186	14	-	-	PUNCT
iogr-1185	186	15	carrying	carry	VERB
iogr-1185	186	16	fluid	fluid	NOUN
iogr-1185	186	17	and	and	CCONJ
iogr-1185	186	18	the	the	DET
iogr-1185	186	19	fracture	fracture	NOUN
iogr-1185	186	20	-	-	PUNCT
iogr-1185	186	21	equivalent	equivalent	ADJ
iogr-1185	186	22	conductivity	conductivity	NOUN
iogr-1185	186	23	,	,	PUNCT
iogr-1185	186	24	and	and	CCONJ
iogr-1185	186	25	it	it	PRON
iogr-1185	186	26	was	be	AUX
iogr-1185	186	27	substituted	substitute	VERB
iogr-1185	186	28	into	into	ADP
iogr-1185	186	29	the	the	DET
iogr-1185	186	30	model	model	NOUN
iogr-1185	186	31	of	of	ADP
iogr-1185	186	32	the	the	DET
iogr-1185	186	33	average	average	ADJ
iogr-1185	186	34	permeability	permeability	NOUN
iogr-1185	186	35	tensor	tensor	NOUN
iogr-1185	186	36	of	of	ADP
iogr-1185	186	37	a	a	DET
iogr-1185	186	38	quasicontinuous	quasicontinuous	ADJ
iogr-1185	186	39	medium	medium	NOUN
iogr-1185	186	40	to	to	PART
iogr-1185	186	41	achieve	achieve	VERB
iogr-1185	186	42	coupling	coupling	NOUN
iogr-1185	186	43	.	.	PUNCT
iogr-1185	187	1	11	11	NUM
iogr-1185	187	2	figure	figure	NOUN
iogr-1185	187	3	4	4	NUM
iogr-1185	187	4	—	—	PUNCT
iogr-1185	187	5	schematic	schematic	ADJ
iogr-1185	187	6	of	of	ADP
iogr-1185	187	7	the	the	DET
iogr-1185	187	8	fully	fully	ADV
iogr-1185	187	9	coupled	couple	VERB
iogr-1185	187	10	model	model	NOUN
iogr-1185	187	11	.	.	PUNCT
iogr-1185	188	1	optimization	optimization	NOUN
iogr-1185	188	2	of	of	ADP
iogr-1185	188	3	fracturing	fracture	VERB
iogr-1185	188	4	fluid	fluid	NOUN
iogr-1185	188	5	flowback	flowback	NOUN
iogr-1185	188	6	in	in	ADP
iogr-1185	188	7	a	a	DET
iogr-1185	188	8	shale	shale	NOUN
iogr-1185	188	9	gas	gas	NOUN
iogr-1185	188	10	well	well	ADV
iogr-1185	188	11	as	as	ADP
iogr-1185	188	12	an	an	DET
iogr-1185	188	13	example	example	NOUN
iogr-1185	188	14	,	,	PUNCT
iogr-1185	188	15	the	the	DET
iogr-1185	188	16	flowback	flowback	NOUN
iogr-1185	188	17	scheme	scheme	NOUN
iogr-1185	188	18	of	of	ADP
iogr-1185	188	19	well	well	ADV
iogr-1185	188	20	a	a	PRON
iogr-1185	188	21	in	in	ADP
iogr-1185	188	22	the	the	DET
iogr-1185	188	23	fuling	fule	VERB
iogr-1185	188	24	shale	shale	NOUN
iogr-1185	188	25	gas	gas	NOUN
iogr-1185	188	26	field	field	NOUN
iogr-1185	188	27	(	(	PUNCT
iogr-1185	188	28	a	a	DET
iogr-1185	188	29	horizontal	horizontal	ADJ
iogr-1185	188	30	multistage	multistage	NOUN
iogr-1185	188	31	fractured	fracture	VERB
iogr-1185	188	32	gas	gas	NOUN
iogr-1185	188	33	well	well	NOUN
iogr-1185	188	34	)	)	PUNCT
iogr-1185	188	35	was	be	AUX
iogr-1185	188	36	established	establish	VERB
iogr-1185	188	37	with	with	ADP
iogr-1185	188	38	the	the	DET
iogr-1185	188	39	reservoir	reservoir	NOUN
iogr-1185	188	40	and	and	CCONJ
iogr-1185	188	41	fracturing	fracture	VERB
iogr-1185	188	42	treatment	treatment	NOUN
iogr-1185	188	43	parameters	parameter	NOUN
iogr-1185	188	44	.	.	PUNCT
iogr-1185	189	1	fracturing	fracture	VERB
iogr-1185	189	2	fluid	fluid	NOUN
iogr-1185	189	3	flowback	flowback	NOUN
iogr-1185	189	4	was	be	AUX
iogr-1185	189	5	simulated	simulate	VERB
iogr-1185	189	6	using	use	VERB
iogr-1185	189	7	the	the	DET
iogr-1185	189	8	proposed	propose	VERB
iogr-1185	189	9	integrated	integrate	VERB
iogr-1185	189	10	model	model	NOUN
iogr-1185	189	11	for	for	ADP
iogr-1185	189	12	a	a	DET
iogr-1185	189	13	hydraulically	hydraulically	ADV
iogr-1185	189	14	fractured	fracture	VERB
iogr-1185	189	15	horizontal	horizontal	ADJ
iogr-1185	189	16	well	well	NOUN
iogr-1185	189	17	with	with	ADP
iogr-1185	189	18	a	a	DET
iogr-1185	189	19	1,000	1,000	NUM
iogr-1185	189	20	-	-	PUNCT
iogr-1185	189	21	m	m	NOUN
iogr-1185	189	22	horizontal	horizontal	ADJ
iogr-1185	189	23	wellbore	wellbore	NOUN
iogr-1185	189	24	and	and	CCONJ
iogr-1185	189	25	10	10	NUM
iogr-1185	189	26	fracture	fracture	NOUN
iogr-1185	189	27	stages	stage	NOUN
iogr-1185	189	28	located	locate	VERB
iogr-1185	189	29	in	in	ADP
iogr-1185	189	30	the	the	DET
iogr-1185	189	31	center	center	NOUN
iogr-1185	189	32	of	of	ADP
iogr-1185	189	33	a	a	DET
iogr-1185	189	34	shale	shale	NOUN
iogr-1185	189	35	reservoir	reservoir	NOUN
iogr-1185	189	36	.	.	PUNCT
iogr-1185	190	1	each	each	DET
iogr-1185	190	2	stage	stage	NOUN
iogr-1185	190	3	created	create	VERB
iogr-1185	190	4	transverse	transverse	NOUN
iogr-1185	190	5	primary	primary	ADJ
iogr-1185	190	6	fractures	fracture	NOUN
iogr-1185	190	7	along	along	ADP
iogr-1185	190	8	the	the	DET
iogr-1185	190	9	horizontal	horizontal	ADJ
iogr-1185	190	10	wellbore	wellbore	NOUN
iogr-1185	190	11	with	with	ADP
iogr-1185	190	12	a	a	DET
iogr-1185	190	13	fracture	fracture	NOUN
iogr-1185	190	14	spacing	spacing	NOUN
iogr-1185	190	15	of	of	ADP
iogr-1185	190	16	25	25	NUM
iogr-1185	190	17	m.	m.	NOUN
iogr-1185	190	18	all	all	DET
iogr-1185	190	19	primary	primary	ADJ
iogr-1185	190	20	hydraulic	hydraulic	ADJ
iogr-1185	190	21	fractures	fracture	NOUN
iogr-1185	190	22	were	be	AUX
iogr-1185	190	23	assumed	assume	VERB
iogr-1185	190	24	to	to	PART
iogr-1185	190	25	be	be	AUX
iogr-1185	190	26	identical	identical	ADJ
iogr-1185	190	27	and	and	CCONJ
iogr-1185	190	28	to	to	PART
iogr-1185	190	29	penetrate	penetrate	VERB
iogr-1185	190	30	the	the	DET
iogr-1185	190	31	whole	whole	ADJ
iogr-1185	190	32	reservoir	reservoir	NOUN
iogr-1185	190	33	.	.	PUNCT
iogr-1185	191	1	a	a	DET
iogr-1185	191	2	specific	specific	ADJ
iogr-1185	191	3	fracturing	fracturing	NOUN
iogr-1185	191	4	fluid	fluid	NOUN
iogr-1185	191	5	flowback	flowback	NOUN
iogr-1185	191	6	scheme	scheme	NOUN
iogr-1185	191	7	was	be	AUX
iogr-1185	191	8	planned	plan	VERB
iogr-1185	191	9	for	for	ADP
iogr-1185	191	10	a	a	DET
iogr-1185	191	11	horizontal	horizontal	ADJ
iogr-1185	191	12	shale	shale	NOUN
iogr-1185	191	13	gas	gas	NOUN
iogr-1185	191	14	well	well	ADV
iogr-1185	191	15	in	in	ADP
iogr-1185	191	16	fuling	fuling	NOUN
iogr-1185	191	17	.	.	PUNCT
iogr-1185	192	1	the	the	DET
iogr-1185	192	2	reservoir	reservoir	NOUN
iogr-1185	192	3	and	and	CCONJ
iogr-1185	192	4	fracturing	fracture	VERB
iogr-1185	192	5	treatment	treatment	NOUN
iogr-1185	192	6	parameters	parameter	NOUN
iogr-1185	192	7	of	of	ADP
iogr-1185	192	8	the	the	DET
iogr-1185	192	9	gas	gas	NOUN
iogr-1185	192	10	well	well	ADV
iogr-1185	192	11	are	be	AUX
iogr-1185	192	12	listed	list	VERB
iogr-1185	192	13	in	in	ADP
iogr-1185	192	14	table	table	NOUN
iogr-1185	192	15	1	1	NUM
iogr-1185	192	16	.	.	X
iogr-1185	192	17	12	12	NUM
iogr-1185	192	18	table	table	NOUN
iogr-1185	192	19	1	1	NUM
iogr-1185	192	20	—	—	PUNCT
iogr-1185	192	21	reservoir	reservoir	NOUN
iogr-1185	192	22	and	and	CCONJ
iogr-1185	192	23	fracturing	fracture	VERB
iogr-1185	192	24	treatment	treatment	NOUN
iogr-1185	192	25	parameters	parameter	NOUN
iogr-1185	192	26	of	of	ADP
iogr-1185	192	27	a	a	DET
iogr-1185	192	28	shale	shale	NOUN
iogr-1185	192	29	gas	gas	NOUN
iogr-1185	192	30	well	well	INTJ
iogr-1185	192	31	(	(	PUNCT
iogr-1185	192	32	well	well	INTJ
iogr-1185	192	33	a	a	X
iogr-1185	192	34	)	)	PUNCT
iogr-1185	192	35	in	in	ADP
iogr-1185	192	36	fuling	fule	VERB
iogr-1185	192	37	.	.	PUNCT
iogr-1185	193	1	parameter	parameter	PROPN
iogr-1185	193	2	type	type	NOUN
iogr-1185	193	3	parameter	parameter	PROPN
iogr-1185	193	4	unit	unit	NOUN
iogr-1185	193	5	value	value	NOUN
iogr-1185	193	6	reservoir	reservoir	PROPN
iogr-1185	193	7	parameter	parameter	PROPN
iogr-1185	193	8	effective	effective	ADJ
iogr-1185	193	9	reservoir	reservoir	PROPN
iogr-1185	193	10	thickness	thickness	NOUN
iogr-1185	193	11	m	m	VERB
iogr-1185	193	12	12	12	NUM
iogr-1185	193	13	poisson	poisson	NOUN
iogr-1185	193	14	's	's	PART
iogr-1185	193	15	ratio	ratio	NOUN
iogr-1185	193	16	dimensionless	dimensionless	NOUN
iogr-1185	193	17	0.23	0.23	NUM
iogr-1185	193	18	young	young	ADJ
iogr-1185	193	19	's	's	PART
iogr-1185	193	20	modulus	modulus	ADJ
iogr-1185	193	21	mpa	mpa	PROPN
iogr-1185	193	22	28,000	28,000	NUM
iogr-1185	193	23	fracture	fracture	NOUN
iogr-1185	193	24	closure	closure	NOUN
iogr-1185	193	25	pressure	pressure	NOUN
iogr-1185	193	26	mpa	mpa	PROPN
iogr-1185	193	27	52	52	NUM
iogr-1185	193	28	reservoir	reservoir	NOUN
iogr-1185	193	29	pressure	pressure	NOUN
iogr-1185	193	30	mpa	mpa	PROPN
iogr-1185	193	31	64.2	64.2	NUM
iogr-1185	193	32	shut	shut	NOUN
iogr-1185	193	33	-	-	PUNCT
iogr-1185	193	34	in	in	ADP
iogr-1185	193	35	pressure	pressure	NOUN
iogr-1185	193	36	at	at	ADP
iogr-1185	193	37	wellhead	wellhead	NOUN
iogr-1185	193	38	mpa	mpa	PROPN
iogr-1185	193	39	69	69	NUM
iogr-1185	193	40	reservoir	reservoir	NOUN
iogr-1185	193	41	permeability	permeability	NOUN
iogr-1185	193	42	10–3μm2	10–3μm2	NUM
iogr-1185	193	43	0.003	0.003	NUM
iogr-1185	193	44	filter	filter	NOUN
iogr-1185	193	45	-	-	PUNCT
iogr-1185	193	46	cake	cake	NOUN
iogr-1185	193	47	permeability	permeability	NOUN
iogr-1185	193	48	10–3μm2	10–3μm2	NUM
iogr-1185	193	49	1.6	1.6	NUM
iogr-1185	193	50	relative	relative	ADJ
iogr-1185	193	51	permeability	permeability	NOUN
iogr-1185	193	52	10–3μm2	10–3μm2	NUM
iogr-1185	193	53	0.02	0.02	NUM
iogr-1185	193	54	reservoir	reservoir	NOUN
iogr-1185	193	55	porosity	porosity	NOUN
iogr-1185	193	56	dimensionless	dimensionless	NOUN
iogr-1185	193	57	0.09	0.09	NUM
iogr-1185	193	58	comprehensive	comprehensive	ADJ
iogr-1185	193	59	compressibility	compressibility	NOUN
iogr-1185	193	60	mpa–1	mpa–1	X
iogr-1185	193	61	0.001	0.001	NUM
iogr-1185	193	62	fracturing	fracturing	NOUN
iogr-1185	193	63	treatment	treatment	NOUN
iogr-1185	193	64	parameter	parameter	NOUN
iogr-1185	193	65	proppant	proppant	NOUN
iogr-1185	193	66	density	density	NOUN
iogr-1185	193	67	kg	kg	PROPN
iogr-1185	193	68	/	/	SYM
iogr-1185	193	69	m3	m3	PROPN
iogr-1185	193	70	2,650	2,650	NUM
iogr-1185	193	71	proppant	proppant	NOUN
iogr-1185	193	72	particle	particle	NOUN
iogr-1185	193	73	size	size	NOUN
iogr-1185	193	74	mm	mm	PROPN
iogr-1185	193	75	0.8	0.8	NUM
iogr-1185	193	76	fracturing	fracturing	NOUN
iogr-1185	193	77	fluid	fluid	NOUN
iogr-1185	193	78	density	density	NOUN
iogr-1185	193	79	kg	kg	PROPN
iogr-1185	193	80	/	/	SYM
iogr-1185	193	81	m3	m3	PROPN
iogr-1185	193	82	1020	1020	NUM
iogr-1185	193	83	fracturing	fracturing	NOUN
iogr-1185	193	84	fluid	fluid	NOUN
iogr-1185	193	85	viscosity	viscosity	NOUN
iogr-1185	193	86	mpa·s	mpa·s	NOUN
iogr-1185	193	87	2	2	NUM
iogr-1185	193	88	fracture	fracture	NOUN
iogr-1185	193	89	half	half	ADJ
iogr-1185	193	90	-	-	PUNCT
iogr-1185	193	91	length	length	NOUN
iogr-1185	193	92	m	m	NOUN
iogr-1185	193	93	200	200	NUM
iogr-1185	193	94	fracture	fracture	ADJ
iogr-1185	193	95	height	height	NOUN
iogr-1185	193	96	m	m	VERB
iogr-1185	193	97	40	40	NUM
iogr-1185	193	98	fracture	fracture	NOUN
iogr-1185	193	99	dynamic	dynamic	ADJ
iogr-1185	193	100	maximum	maximum	ADJ
iogr-1185	193	101	width	width	NOUN
iogr-1185	193	102	mm	mm	NOUN
iogr-1185	193	103	6	6	NUM
iogr-1185	193	104	adhesion	adhesion	NOUN
iogr-1185	193	105	force	force	NOUN
iogr-1185	193	106	coefficient	coefficient	NOUN
iogr-1185	193	107	dyn	dyn	NOUN
iogr-1185	193	108	/	/	SYM
iogr-1185	193	109	cm	cm	NOUN
iogr-1185	193	110	2.6	2.6	NUM
iogr-1185	193	111	filtrate	filtrate	NOUN
iogr-1185	193	112	viscosity	viscosity	NOUN
iogr-1185	193	113	mpa·s	mpa·s	PROPN
iogr-1185	193	114	1.6	1.6	NUM
iogr-1185	193	115	borehole	borehole	NOUN
iogr-1185	193	116	vertical	vertical	ADJ
iogr-1185	193	117	height	height	PROPN
iogr-1185	193	118	m	m	PROPN
iogr-1185	193	119	2300	2300	NUM
iogr-1185	193	120	borehole	borehole	NOUN
iogr-1185	193	121	radius	radius	NOUN
iogr-1185	193	122	m	m	PROPN
iogr-1185	193	123	0.05	0.05	NUM
iogr-1185	193	124	horizontal	horizontal	ADJ
iogr-1185	193	125	section	section	NOUN
iogr-1185	193	126	length	length	NOUN
iogr-1185	193	127	m	m	PROPN
iogr-1185	193	128	500	500	NUM
iogr-1185	193	129	stage	stage	NOUN
iogr-1185	193	130	number	number	NOUN
iogr-1185	193	131	dimensionless	dimensionless	NOUN
iogr-1185	193	132	5	5	NUM
iogr-1185	193	133	nozzle	nozzle	NOUN
iogr-1185	193	134	outlet	outlet	NOUN
iogr-1185	193	135	pressure	pressure	NOUN
iogr-1185	193	136	mpa	mpa	PROPN
iogr-1185	193	137	0.1	0.1	NUM
iogr-1185	193	138	local	local	ADJ
iogr-1185	193	139	resistance	resistance	NOUN
iogr-1185	193	140	coefficient	coefficient	NOUN
iogr-1185	193	141	dimensionless	dimensionless	NOUN
iogr-1185	193	142	0.5	0.5	NUM
iogr-1185	193	143	treatment	treatment	NOUN
iogr-1185	193	144	displacement	displacement	ADJ
iogr-1185	193	145	m3	m3	PROPN
iogr-1185	193	146	/	/	SYM
iogr-1185	193	147	min	min	NOUN
iogr-1185	193	148	3	3	NUM
iogr-1185	193	149	total	total	NOUN
iogr-1185	193	150	leak	leak	NOUN
iogr-1185	193	151	-	-	PUNCT
iogr-1185	193	152	off	off	ADP
iogr-1185	193	153	coefficient	coefficient	NOUN
iogr-1185	193	154	m	m	PROPN
iogr-1185	193	155	/	/	SYM
iogr-1185	193	156	min0.5	min0.5	PROPN
iogr-1185	193	157	0.00029	0.00029	NUM
iogr-1185	193	158	absolute	absolute	ADJ
iogr-1185	193	159	roughness	roughness	NOUN
iogr-1185	193	160	of	of	ADP
iogr-1185	193	161	the	the	DET
iogr-1185	193	162	borehole	borehole	NOUN
iogr-1185	193	163	mm	mm	PROPN
iogr-1185	193	164	2	2	NUM
iogr-1185	193	165	model	model	NOUN
iogr-1185	193	166	validation	validation	NOUN
iogr-1185	193	167	.	.	PUNCT
iogr-1185	194	1	to	to	PART
iogr-1185	194	2	validate	validate	VERB
iogr-1185	194	3	the	the	DET
iogr-1185	194	4	proposed	propose	VERB
iogr-1185	194	5	fracturing	fracturing	NOUN
iogr-1185	194	6	flowback	flowback	NOUN
iogr-1185	194	7	model	model	NOUN
iogr-1185	194	8	,	,	PUNCT
iogr-1185	194	9	we	we	PRON
iogr-1185	194	10	matched	match	VERB
iogr-1185	194	11	the	the	DET
iogr-1185	194	12	measured	measured	ADJ
iogr-1185	194	13	casing	casing	NOUN
iogr-1185	194	14	pressure	pressure	NOUN
iogr-1185	194	15	with	with	ADP
iogr-1185	194	16	the	the	DET
iogr-1185	194	17	predicted	predict	VERB
iogr-1185	194	18	pressure	pressure	NOUN
iogr-1185	194	19	from	from	ADP
iogr-1185	194	20	the	the	DET
iogr-1185	194	21	injection	injection	NOUN
iogr-1185	194	22	period	period	NOUN
iogr-1185	194	23	to	to	ADP
iogr-1185	194	24	the	the	DET
iogr-1185	194	25	flowback	flowback	NOUN
iogr-1185	194	26	period	period	NOUN
iogr-1185	194	27	,	,	PUNCT
iogr-1185	194	28	as	as	SCONJ
iogr-1185	194	29	shown	show	VERB
iogr-1185	194	30	in	in	ADP
iogr-1185	194	31	figure	figure	NOUN
iogr-1185	194	32	5	5	NUM
iogr-1185	194	33	.	.	PUNCT
iogr-1185	195	1	they	they	PRON
iogr-1185	195	2	were	be	AUX
iogr-1185	195	3	in	in	ADP
iogr-1185	195	4	good	good	ADJ
iogr-1185	195	5	agreement	agreement	NOUN
iogr-1185	195	6	.	.	PUNCT
iogr-1185	196	1	consequently	consequently	ADV
iogr-1185	196	2	,	,	PUNCT
iogr-1185	196	3	the	the	DET
iogr-1185	196	4	fracture	fracture	ADJ
iogr-1185	196	5	width	width	NOUN
iogr-1185	196	6	was	be	AUX
iogr-1185	196	7	predicted	predict	VERB
iogr-1185	196	8	and	and	CCONJ
iogr-1185	196	9	is	be	AUX
iogr-1185	196	10	illustrated	illustrate	VERB
iogr-1185	196	11	in	in	ADP
iogr-1185	196	12	figure	figure	NOUN
iogr-1185	196	13	6	6	NUM
iogr-1185	196	14	.	.	PUNCT
iogr-1185	197	1	the	the	DET
iogr-1185	197	2	fracture	fracture	NOUN
iogr-1185	197	3	width	width	NOUN
iogr-1185	197	4	clearly	clearly	ADV
iogr-1185	197	5	declined	decline	VERB
iogr-1185	197	6	as	as	SCONJ
iogr-1185	197	7	pressure	pressure	NOUN
iogr-1185	197	8	dropped	drop	VERB
iogr-1185	197	9	during	during	ADP
iogr-1185	197	10	the	the	DET
iogr-1185	197	11	flowback	flowback	NOUN
iogr-1185	197	12	period	period	NOUN
iogr-1185	197	13	.	.	PUNCT
iogr-1185	198	1	13	13	NUM
iogr-1185	198	2	figure	figure	NOUN
iogr-1185	198	3	5	5	NUM
iogr-1185	198	4	—	—	PUNCT
iogr-1185	198	5	history	history	NOUN
iogr-1185	198	6	match	match	NOUN
iogr-1185	198	7	of	of	ADP
iogr-1185	198	8	bottomhole	bottomhole	NOUN
iogr-1185	198	9	pressure	pressure	NOUN
iogr-1185	198	10	for	for	ADP
iogr-1185	198	11	well	well	ADV
iogr-1185	198	12	a	a	PRON
iogr-1185	198	13	during	during	ADP
iogr-1185	198	14	fracture	fracture	PROPN
iogr-1185	198	15	treatment	treatment	NOUN
iogr-1185	198	16	.	.	PUNCT
iogr-1185	199	1	figure	figure	VERB
iogr-1185	199	2	6	6	NUM
iogr-1185	199	3	-	-	PUNCT
iogr-1185	199	4	-predicted	-predicte	VERB
iogr-1185	199	5	fracture	fracture	NOUN
iogr-1185	199	6	width	width	NOUN
iogr-1185	199	7	for	for	ADP
iogr-1185	199	8	single	single	ADJ
iogr-1185	199	9	fracture	fracture	NOUN
iogr-1185	199	10	of	of	ADP
iogr-1185	199	11	well	well	ADV
iogr-1185	199	12	a	a	PRON
iogr-1185	199	13	during	during	ADP
iogr-1185	199	14	fracture	fracture	PROPN
iogr-1185	199	15	treatment	treatment	NOUN
iogr-1185	199	16	.	.	PUNCT
iogr-1185	200	1	in	in	ADP
iogr-1185	200	2	the	the	DET
iogr-1185	200	3	first	first	ADJ
iogr-1185	200	4	couple	couple	NOUN
iogr-1185	200	5	of	of	ADP
iogr-1185	200	6	days	day	NOUN
iogr-1185	200	7	,	,	PUNCT
iogr-1185	200	8	well	well	INTJ
iogr-1185	200	9	a	a	DET
iogr-1185	200	10	flowback	flowback	NOUN
iogr-1185	200	11	showed	show	VERB
iogr-1185	200	12	a	a	DET
iogr-1185	200	13	relatively	relatively	ADV
iogr-1185	200	14	high	high	ADJ
iogr-1185	200	15	flow	flow	NOUN
iogr-1185	200	16	rate	rate	NOUN
iogr-1185	200	17	and	and	CCONJ
iogr-1185	200	18	a	a	DET
iogr-1185	200	19	choke	choke	NOUN
iogr-1185	200	20	size	size	NOUN
iogr-1185	200	21	of	of	ADP
iogr-1185	200	22	8	8	NUM
iogr-1185	200	23	mm	mm	NOUN
iogr-1185	200	24	,	,	PUNCT
iogr-1185	200	25	which	which	PRON
iogr-1185	200	26	caused	cause	VERB
iogr-1185	200	27	sand	sand	NOUN
iogr-1185	200	28	production	production	NOUN
iogr-1185	200	29	(	(	PUNCT
iogr-1185	200	30	orange	orange	ADJ
iogr-1185	200	31	dots	dot	NOUN
iogr-1185	200	32	in	in	ADP
iogr-1185	200	33	figure	figure	NOUN
iogr-1185	200	34	7a	7a	NOUN
iogr-1185	200	35	and	and	CCONJ
iogr-1185	200	36	7b	7b	NUM
iogr-1185	200	37	)	)	PUNCT
iogr-1185	200	38	.	.	PUNCT
iogr-1185	201	1	the	the	DET
iogr-1185	201	2	proposed	propose	VERB
iogr-1185	201	3	model	model	NOUN
iogr-1185	201	4	was	be	AUX
iogr-1185	201	5	run	run	VERB
iogr-1185	201	6	to	to	PART
iogr-1185	201	7	calculate	calculate	VERB
iogr-1185	201	8	critical	critical	ADJ
iogr-1185	201	9	flow	flow	NOUN
iogr-1185	201	10	rate	rate	NOUN
iogr-1185	201	11	and	and	CCONJ
iogr-1185	201	12	corresponding	corresponding	ADJ
iogr-1185	201	13	critical	critical	ADJ
iogr-1185	201	14	choke	choke	NOUN
iogr-1185	201	15	size	size	NOUN
iogr-1185	201	16	,	,	PUNCT
iogr-1185	201	17	which	which	PRON
iogr-1185	201	18	is	be	AUX
iogr-1185	201	19	the	the	DET
iogr-1185	201	20	maximum	maximum	ADJ
iogr-1185	201	21	flow	flow	NOUN
iogr-1185	201	22	rate	rate	NOUN
iogr-1185	201	23	that	that	PRON
iogr-1185	201	24	will	will	AUX
iogr-1185	201	25	not	not	PART
iogr-1185	201	26	cause	cause	VERB
iogr-1185	201	27	proppant	proppant	NOUN
iogr-1185	201	28	flowback	flowback	NOUN
iogr-1185	201	29	(	(	PUNCT
iogr-1185	201	30	blue	blue	ADJ
iogr-1185	201	31	curves	curve	NOUN
iogr-1185	201	32	in	in	ADP
iogr-1185	201	33	figure	figure	NOUN
iogr-1185	201	34	7	7	NUM
iogr-1185	201	35	and	and	CCONJ
iogr-1185	201	36	7b	7b	NOUN
iogr-1185	201	37	,	,	PUNCT
iogr-1185	201	38	respectively	respectively	ADV
iogr-1185	201	39	)	)	PUNCT
iogr-1185	201	40	.	.	PUNCT
iogr-1185	202	1	as	as	SCONJ
iogr-1185	202	2	actual	actual	ADJ
iogr-1185	202	3	flow	flow	NOUN
iogr-1185	202	4	rate	rate	NOUN
iogr-1185	202	5	is	be	AUX
iogr-1185	202	6	greater	great	ADJ
iogr-1185	202	7	than	than	ADP
iogr-1185	202	8	critical	critical	ADJ
iogr-1185	202	9	flow	flow	NOUN
iogr-1185	202	10	rate	rate	NOUN
iogr-1185	202	11	and	and	CCONJ
iogr-1185	202	12	actual	actual	ADJ
iogr-1185	202	13	choke	choke	NOUN
iogr-1185	202	14	size	size	NOUN
iogr-1185	202	15	is	be	AUX
iogr-1185	202	16	larger	large	ADJ
iogr-1185	202	17	than	than	ADP
iogr-1185	202	18	the	the	DET
iogr-1185	202	19	estimated	estimate	VERB
iogr-1185	202	20	choke	choke	NOUN
iogr-1185	202	21	size	size	NOUN
iogr-1185	202	22	,	,	PUNCT
iogr-1185	202	23	proppant	proppant	NOUN
iogr-1185	202	24	flowed	flow	VERB
iogr-1185	202	25	back	back	ADV
iogr-1185	202	26	with	with	ADP
iogr-1185	202	27	fracturing	fracturing	NOUN
iogr-1185	202	28	fluid	fluid	NOUN
iogr-1185	202	29	.	.	PUNCT
iogr-1185	203	1	after	after	ADP
iogr-1185	203	2	controlling	control	VERB
iogr-1185	203	3	flow	flow	NOUN
iogr-1185	203	4	rate	rate	NOUN
iogr-1185	203	5	by	by	ADP
iogr-1185	203	6	reducing	reduce	VERB
iogr-1185	203	7	choke	choke	NOUN
iogr-1185	203	8	size	size	NOUN
iogr-1185	203	9	to	to	PART
iogr-1185	203	10	be	be	AUX
iogr-1185	203	11	smaller	small	ADJ
iogr-1185	203	12	than	than	ADP
iogr-1185	203	13	critical	critical	ADJ
iogr-1185	203	14	choke	choke	NOUN
iogr-1185	203	15	size	size	NOUN
iogr-1185	203	16	,	,	PUNCT
iogr-1185	203	17	there	there	PRON
iogr-1185	203	18	was	be	VERB
iogr-1185	203	19	no	no	DET
iogr-1185	203	20	sand	sand	NOUN
iogr-1185	203	21	production	production	NOUN
iogr-1185	203	22	anymore	anymore	ADV
iogr-1185	203	23	.	.	PUNCT
iogr-1185	204	1	thus	thus	ADV
iogr-1185	204	2	,	,	PUNCT
iogr-1185	204	3	the	the	DET
iogr-1185	204	4	proposed	propose	VERB
iogr-1185	204	5	model	model	NOUN
iogr-1185	204	6	was	be	AUX
iogr-1185	204	7	proved	prove	VERB
iogr-1185	204	8	to	to	PART
iogr-1185	204	9	be	be	AUX
iogr-1185	204	10	robust	robust	ADJ
iogr-1185	204	11	enough	enough	ADV
iogr-1185	204	12	to	to	PART
iogr-1185	204	13	optimize	optimize	VERB
iogr-1185	204	14	the	the	DET
iogr-1185	204	15	flow	flow	NOUN
iogr-1185	204	16	rate	rate	NOUN
iogr-1185	204	17	and	and	CCONJ
iogr-1185	204	18	choke	choke	VERB
iogr-1185	204	19	size	size	NOUN
iogr-1185	204	20	.	.	PUNCT
iogr-1185	205	1	0	0	NUM
iogr-1185	206	1	20	20	NUM
iogr-1185	206	2	40	40	NUM
iogr-1185	206	3	60	60	NUM
iogr-1185	206	4	80	80	NUM
iogr-1185	206	5	0	0	NUM
iogr-1185	206	6	50	50	NUM
iogr-1185	206	7	100	100	NUM
iogr-1185	206	8	150	150	NUM
iogr-1185	206	9	200	200	NUM
iogr-1185	206	10	p	p	NOUN
iogr-1185	206	11	re	re	ADP
iogr-1185	206	12	ss	ss	NOUN
iogr-1185	206	13	u	u	NOUN
iogr-1185	206	14	re	re	ADP
iogr-1185	206	15	,	,	PUNCT
iogr-1185	206	16	m	m	VERB
iogr-1185	206	17	p	p	NOUN
iogr-1185	206	18	a	a	DET
iogr-1185	206	19	t	t	PROPN
iogr-1185	206	20	,	,	PUNCT
iogr-1185	206	21	min	min	PROPN
iogr-1185	206	22	field	field	PROPN
iogr-1185	206	23	data	datum	NOUN
iogr-1185	206	24	simulated	simulate	VERB
iogr-1185	206	25	result	result	NOUN
iogr-1185	206	26	0	0	NUM
iogr-1185	206	27	0.002	0.002	NUM
iogr-1185	206	28	0.004	0.004	NUM
iogr-1185	206	29	0.006	0.006	NUM
iogr-1185	206	30	0.008	0.008	NUM
iogr-1185	206	31	0.01	0.01	NUM
iogr-1185	206	32	0.012	0.012	NUM
iogr-1185	206	33	0.014	0.014	NUM
iogr-1185	206	34	0	0	NUM
iogr-1185	207	1	50	50	NUM
iogr-1185	207	2	100	100	NUM
iogr-1185	207	3	150	150	NUM
iogr-1185	207	4	200	200	NUM
iogr-1185	207	5	f	f	NOUN
iogr-1185	207	6	ra	ra	NOUN
iogr-1185	207	7	ct	ct	NUM
iogr-1185	207	8	u	u	PROPN
iogr-1185	207	9	re	re	VERB
iogr-1185	207	10	w	w	PROPN
iogr-1185	207	11	i	i	PROPN
iogr-1185	207	12	d	d	PROPN
iogr-1185	207	13	th	th	PROPN
iogr-1185	207	14	,	,	PUNCT
iogr-1185	207	15	m	m	PROPN
iogr-1185	207	16	t	t	PROPN
iogr-1185	207	17	,	,	PUNCT
iogr-1185	207	18	min	min	PROPN
iogr-1185	207	19	14	14	NUM
iogr-1185	207	20	(	(	PUNCT
iogr-1185	207	21	a	a	NOUN
iogr-1185	207	22	)	)	PUNCT
iogr-1185	207	23	(	(	PUNCT
iogr-1185	207	24	b	b	X
iogr-1185	207	25	)	)	PUNCT
iogr-1185	207	26	figure	figure	NOUN
iogr-1185	207	27	7	7	NUM
iogr-1185	207	28	—	—	PUNCT
iogr-1185	207	29	flowback	flowback	NOUN
iogr-1185	207	30	performance	performance	NOUN
iogr-1185	207	31	versus	versus	ADP
iogr-1185	207	32	(	(	PUNCT
iogr-1185	207	33	a	a	DET
iogr-1185	207	34	)	)	PUNCT
iogr-1185	207	35	flow	flow	NOUN
iogr-1185	207	36	rate	rate	NOUN
iogr-1185	207	37	and	and	CCONJ
iogr-1185	207	38	(	(	PUNCT
iogr-1185	207	39	b	b	NOUN
iogr-1185	207	40	)	)	PUNCT
iogr-1185	207	41	choke	choke	NOUN
iogr-1185	207	42	size	size	NOUN
iogr-1185	207	43	.	.	PUNCT
iogr-1185	208	1	proppant	proppant	NOUN
iogr-1185	208	2	transport	transport	NOUN
iogr-1185	208	3	.	.	PUNCT
iogr-1185	209	1	in	in	ADP
iogr-1185	209	2	addition	addition	NOUN
iogr-1185	209	3	to	to	PART
iogr-1185	209	4	flow	flow	VERB
iogr-1185	209	5	pressure	pressure	NOUN
iogr-1185	209	6	and	and	CCONJ
iogr-1185	209	7	flow	flow	NOUN
iogr-1185	209	8	rate	rate	NOUN
iogr-1185	209	9	,	,	PUNCT
iogr-1185	209	10	the	the	DET
iogr-1185	209	11	proposed	propose	VERB
iogr-1185	209	12	model	model	NOUN
iogr-1185	209	13	can	can	AUX
iogr-1185	209	14	also	also	ADV
iogr-1185	209	15	display	display	VERB
iogr-1185	209	16	the	the	DET
iogr-1185	209	17	progress	progress	NOUN
iogr-1185	209	18	of	of	ADP
iogr-1185	209	19	proppant	proppant	NOUN
iogr-1185	209	20	migration	migration	NOUN
iogr-1185	209	21	from	from	ADP
iogr-1185	209	22	injection	injection	NOUN
iogr-1185	209	23	period	period	NOUN
iogr-1185	209	24	to	to	ADP
iogr-1185	209	25	flowback	flowback	NOUN
iogr-1185	209	26	period	period	NOUN
iogr-1185	209	27	.	.	PUNCT
iogr-1185	210	1	figure	figure	NOUN
iogr-1185	210	2	8	8	NUM
iogr-1185	210	3	shows	show	VERB
iogr-1185	210	4	proppant	proppant	NOUN
iogr-1185	210	5	concentration	concentration	NOUN
iogr-1185	210	6	profiles	profile	NOUN
iogr-1185	210	7	perpendicular	perpendicular	ADJ
iogr-1185	210	8	to	to	ADP
iogr-1185	210	9	the	the	DET
iogr-1185	210	10	fracture	fracture	NOUN
iogr-1185	210	11	.	.	PUNCT
iogr-1185	211	1	the	the	DET
iogr-1185	211	2	x	x	X
iogr-1185	211	3	-	-	ADJ
iogr-1185	211	4	axis	axis	NOUN
iogr-1185	211	5	is	be	AUX
iogr-1185	211	6	the	the	DET
iogr-1185	211	7	position	position	NOUN
iogr-1185	211	8	along	along	ADP
iogr-1185	211	9	the	the	DET
iogr-1185	211	10	fracture	fracture	NOUN
iogr-1185	211	11	,	,	PUNCT
iogr-1185	211	12	which	which	PRON
iogr-1185	211	13	refers	refer	VERB
iogr-1185	211	14	to	to	ADP
iogr-1185	211	15	the	the	DET
iogr-1185	211	16	center	center	NOUN
iogr-1185	211	17	of	of	ADP
iogr-1185	211	18	the	the	DET
iogr-1185	211	19	fracture	fracture	NOUN
iogr-1185	211	20	.	.	PUNCT
iogr-1185	212	1	the	the	DET
iogr-1185	212	2	proppant	proppant	ADJ
iogr-1185	212	3	concentration	concentration	NOUN
iogr-1185	212	4	during	during	ADP
iogr-1185	212	5	the	the	DET
iogr-1185	212	6	fracturing	fracturing	NOUN
iogr-1185	212	7	period	period	NOUN
iogr-1185	212	8	ranged	range	VERB
iogr-1185	212	9	from	from	ADP
iogr-1185	212	10	1.5	1.5	NUM
iogr-1185	212	11	%	%	NOUN
iogr-1185	212	12	to	to	ADP
iogr-1185	212	13	2.5	2.5	NUM
iogr-1185	212	14	%	%	NOUN
iogr-1185	212	15	.	.	PUNCT
iogr-1185	213	1	from	from	ADP
iogr-1185	213	2	the	the	DET
iogr-1185	213	3	concentration	concentration	NOUN
iogr-1185	213	4	change	change	NOUN
iogr-1185	213	5	curve	curve	NOUN
iogr-1185	213	6	in	in	ADP
iogr-1185	213	7	figure	figure	NOUN
iogr-1185	213	8	8	8	NUM
iogr-1185	213	9	,	,	PUNCT
iogr-1185	213	10	an	an	DET
iogr-1185	213	11	area	area	NOUN
iogr-1185	213	12	of	of	ADP
iogr-1185	213	13	high	high	ADJ
iogr-1185	213	14	proppant	proppant	NOUN
iogr-1185	213	15	concentration	concentration	NOUN
iogr-1185	213	16	was	be	AUX
iogr-1185	213	17	found	find	VERB
iogr-1185	213	18	to	to	PART
iogr-1185	213	19	form	form	VERB
iogr-1185	213	20	at	at	ADP
iogr-1185	213	21	the	the	DET
iogr-1185	213	22	fracture	fracture	ADJ
iogr-1185	213	23	tip	tip	NOUN
iogr-1185	213	24	due	due	ADP
iogr-1185	213	25	to	to	ADP
iogr-1185	213	26	the	the	DET
iogr-1185	213	27	severe	severe	ADJ
iogr-1185	213	28	filtration	filtration	NOUN
iogr-1185	213	29	.	.	PUNCT
iogr-1185	214	1	after	after	ADP
iogr-1185	214	2	stopping	stop	VERB
iogr-1185	214	3	pumping	pump	VERB
iogr-1185	214	4	(	(	PUNCT
iogr-1185	214	5	“	"	PUNCT
iogr-1185	214	6	end	end	NOUN
iogr-1185	214	7	of	of	ADP
iogr-1185	214	8	fracturing	fracturing	NOUN
iogr-1185	214	9	”	"	PUNCT
iogr-1185	214	10	curve	curve	NOUN
iogr-1185	214	11	in	in	ADP
iogr-1185	214	12	figure	figure	NOUN
iogr-1185	214	13	8)	8)	NUM
iogr-1185	214	14	,	,	PUNCT
iogr-1185	214	15	the	the	DET
iogr-1185	214	16	proppant	proppant	ADJ
iogr-1185	214	17	concentration	concentration	NOUN
iogr-1185	214	18	in	in	ADP
iogr-1185	214	19	the	the	DET
iogr-1185	214	20	fracture	fracture	ADJ
iogr-1185	214	21	front	front	NOUN
iogr-1185	214	22	decreased	decrease	VERB
iogr-1185	214	23	gradually	gradually	ADV
iogr-1185	214	24	,	,	PUNCT
iogr-1185	214	25	but	but	CCONJ
iogr-1185	214	26	fracturing	fracture	VERB
iogr-1185	214	27	fluid	fluid	NOUN
iogr-1185	214	28	in	in	ADP
iogr-1185	214	29	the	the	DET
iogr-1185	214	30	fracture	fracture	NOUN
iogr-1185	214	31	continued	continue	VERB
iogr-1185	214	32	to	to	PART
iogr-1185	214	33	advance	advance	VERB
iogr-1185	214	34	because	because	SCONJ
iogr-1185	214	35	of	of	ADP
iogr-1185	214	36	high	high	ADJ
iogr-1185	214	37	pressure	pressure	NOUN
iogr-1185	214	38	in	in	ADP
iogr-1185	214	39	the	the	DET
iogr-1185	214	40	fracture	fracture	NOUN
iogr-1185	214	41	.	.	PUNCT
iogr-1185	215	1	at	at	ADP
iogr-1185	215	2	this	this	DET
iogr-1185	215	3	time	time	NOUN
iogr-1185	215	4	,	,	PUNCT
iogr-1185	215	5	the	the	DET
iogr-1185	215	6	velocity	velocity	NOUN
iogr-1185	215	7	of	of	ADP
iogr-1185	215	8	fluid	fluid	NOUN
iogr-1185	215	9	in	in	ADP
iogr-1185	215	10	the	the	DET
iogr-1185	215	11	fracture	fracture	NOUN
iogr-1185	215	12	decreased	decrease	VERB
iogr-1185	215	13	and	and	CCONJ
iogr-1185	215	14	the	the	DET
iogr-1185	215	15	distribution	distribution	NOUN
iogr-1185	215	16	of	of	ADP
iogr-1185	215	17	fluid	fluid	NOUN
iogr-1185	215	18	in	in	ADP
iogr-1185	215	19	the	the	DET
iogr-1185	215	20	fracture	fracture	NOUN
iogr-1185	215	21	gradually	gradually	ADV
iogr-1185	215	22	became	become	VERB
iogr-1185	215	23	uniform	uniform	ADJ
iogr-1185	215	24	.	.	PUNCT
iogr-1185	216	1	however	however	ADV
iogr-1185	216	2	,	,	PUNCT
iogr-1185	216	3	it	it	PRON
iogr-1185	216	4	should	should	AUX
iogr-1185	216	5	be	be	AUX
iogr-1185	216	6	noted	note	VERB
iogr-1185	216	7	that	that	SCONJ
iogr-1185	216	8	the	the	DET
iogr-1185	216	9	fluid	fluid	NOUN
iogr-1185	216	10	continued	continue	VERB
iogr-1185	216	11	to	to	PART
iogr-1185	216	12	move	move	VERB
iogr-1185	216	13	forward	forward	ADV
iogr-1185	216	14	.	.	PUNCT
iogr-1185	217	1	figure	figure	NOUN
iogr-1185	217	2	9	9	NUM
iogr-1185	217	3	is	be	AUX
iogr-1185	217	4	the	the	DET
iogr-1185	217	5	2d	2d	NUM
iogr-1185	217	6	distribution	distribution	NOUN
iogr-1185	217	7	of	of	ADP
iogr-1185	217	8	proppant	proppant	ADJ
iogr-1185	217	9	concentration	concentration	NOUN
iogr-1185	217	10	in	in	ADP
iogr-1185	217	11	a	a	DET
iogr-1185	217	12	single	single	ADJ
iogr-1185	217	13	fracture	fracture	NOUN
iogr-1185	217	14	in	in	ADP
iogr-1185	217	15	the	the	DET
iogr-1185	217	16	course	course	NOUN
iogr-1185	217	17	of	of	ADP
iogr-1185	217	18	fracturing	fracture	VERB
iogr-1185	217	19	to	to	ADP
iogr-1185	217	20	flowback	flowback	NOUN
iogr-1185	217	21	.	.	PUNCT
iogr-1185	218	1	0	0	NUM
iogr-1185	219	1	50000	50000	NUM
iogr-1185	219	2	100000	100000	NUM
iogr-1185	219	3	150000	150000	NUM
iogr-1185	219	4	200000	200000	NUM
iogr-1185	219	5	250000	250000	NUM
iogr-1185	219	6	1	1	NUM
iogr-1185	219	7	7	7	NUM
iogr-1185	219	8	13	13	NUM
iogr-1185	219	9	19	19	NUM
iogr-1185	219	10	25	25	NUM
iogr-1185	219	11	31	31	NUM
iogr-1185	219	12	f	f	PROPN
iogr-1185	219	13	lo	lo	PROPN
iogr-1185	219	14	w	w	PROPN
iogr-1185	219	15	b	b	PROPN
iogr-1185	219	16	ak	ak	PROPN
iogr-1185	219	17	r	r	NOUN
iogr-1185	219	18	at	at	ADP
iogr-1185	219	19	e	e	NOUN
iogr-1185	219	20	,	,	PUNCT
iogr-1185	219	21	m	m	VERB
iogr-1185	219	22	3	3	NUM
iogr-1185	219	23	/d	/d	PUNCT
iogr-1185	219	24	flowback	flowback	NOUN
iogr-1185	219	25	time	time	NOUN
iogr-1185	219	26	,	,	PUNCT
iogr-1185	219	27	days	day	NOUN
iogr-1185	219	28	critical	critical	ADJ
iogr-1185	219	29	flow	flow	NOUN
iogr-1185	219	30	rate	rate	NOUN
iogr-1185	219	31	field	field	NOUN
iogr-1185	219	32	flow	flow	NOUN
iogr-1185	219	33	rate	rate	NOUN
iogr-1185	219	34	flow	flow	NOUN
iogr-1185	219	35	with	with	ADP
iogr-1185	219	36	sand	sand	NOUN
iogr-1185	219	37	0	0	NUM
iogr-1185	220	1	1	1	NUM
iogr-1185	220	2	2	2	NUM
iogr-1185	220	3	3	3	NUM
iogr-1185	220	4	4	4	NUM
iogr-1185	220	5	5	5	NUM
iogr-1185	220	6	6	6	NUM
iogr-1185	220	7	7	7	NUM
iogr-1185	220	8	8	8	NUM
iogr-1185	220	9	9	9	NUM
iogr-1185	220	10	1	1	NUM
iogr-1185	220	11	7	7	NUM
iogr-1185	220	12	13	13	NUM
iogr-1185	220	13	19	19	NUM
iogr-1185	220	14	25	25	NUM
iogr-1185	220	15	31	31	NUM
iogr-1185	220	16	c	c	NOUN
iogr-1185	220	17	h	h	NOUN
iogr-1185	221	1	o	o	NOUN
iogr-1185	221	2	k	k	X
iogr-1185	221	3	e	e	X
iogr-1185	221	4	si	si	PROPN
iogr-1185	221	5	ze	ze	PROPN
iogr-1185	221	6	,	,	PUNCT
iogr-1185	221	7	m	m	VERB
iogr-1185	221	8	m	m	VERB
iogr-1185	221	9	flowback	flowback	NOUN
iogr-1185	221	10	time	time	NOUN
iogr-1185	221	11	,	,	PUNCT
iogr-1185	221	12	days	day	NOUN
iogr-1185	221	13	critical	critical	ADJ
iogr-1185	221	14	choke	choke	NOUN
iogr-1185	221	15	size	size	NOUN
iogr-1185	221	16	field	field	NOUN
iogr-1185	221	17	choke	choke	VERB
iogr-1185	221	18	size	size	NOUN
iogr-1185	221	19	15	15	NUM
iogr-1185	221	20	figure	figure	NOUN
iogr-1185	221	21	8	8	NUM
iogr-1185	221	22	—	—	PUNCT
iogr-1185	221	23	proppant	proppant	NOUN
iogr-1185	221	24	concentration	concentration	NOUN
iogr-1185	221	25	profiles	profile	NOUN
iogr-1185	221	26	perpendicular	perpendicular	ADJ
iogr-1185	221	27	to	to	ADP
iogr-1185	221	28	the	the	DET
iogr-1185	221	29	fracture	fracture	NOUN
iogr-1185	221	30	in	in	ADP
iogr-1185	221	31	the	the	DET
iogr-1185	221	32	course	course	NOUN
iogr-1185	221	33	of	of	ADP
iogr-1185	221	34	injection	injection	NOUN
iogr-1185	221	35	and	and	CCONJ
iogr-1185	221	36	flowback	flowback	NOUN
iogr-1185	221	37	.	.	PUNCT
iogr-1185	222	1	(	(	PUNCT
iogr-1185	222	2	a	a	X
iogr-1185	222	3	)	)	PUNCT
iogr-1185	222	4	48	48	NUM
iogr-1185	222	5	min	min	NOUN
iogr-1185	222	6	(	(	PUNCT
iogr-1185	222	7	b	b	NOUN
iogr-1185	222	8	)	)	PUNCT
iogr-1185	222	9	72	72	NUM
iogr-1185	222	10	min	min	NOUN
iogr-1185	222	11	(	(	PUNCT
iogr-1185	222	12	c	c	NOUN
iogr-1185	222	13	)	)	PUNCT
iogr-1185	222	14	113	113	NUM
iogr-1185	222	15	min	min	NOUN
iogr-1185	222	16	(	(	PUNCT
iogr-1185	222	17	d	d	NOUN
iogr-1185	222	18	)	)	PUNCT
iogr-1185	222	19	end	end	NOUN
iogr-1185	222	20	of	of	ADP
iogr-1185	222	21	fracturing	fracturing	NOUN
iogr-1185	222	22	(	(	PUNCT
iogr-1185	222	23	e	e	NOUN
iogr-1185	222	24	)	)	PUNCT
iogr-1185	222	25	start	start	NOUN
iogr-1185	222	26	of	of	ADP
iogr-1185	222	27	flowback	flowback	NOUN
iogr-1185	222	28	(	(	PUNCT
iogr-1185	222	29	f	f	X
iogr-1185	222	30	)	)	PUNCT
iogr-1185	222	31	flowback	flowback	NOUN
iogr-1185	222	32	for	for	ADP
iogr-1185	222	33	20	20	NUM
iogr-1185	222	34	min	min	NOUN
iogr-1185	222	35	figure	figure	NOUN
iogr-1185	222	36	9—2d	9—2d	NOUN
iogr-1185	222	37	proppant	proppant	NOUN
iogr-1185	222	38	distribution	distribution	NOUN
iogr-1185	222	39	in	in	ADP
iogr-1185	222	40	the	the	DET
iogr-1185	222	41	fracture	fracture	NOUN
iogr-1185	222	42	in	in	ADP
iogr-1185	222	43	the	the	DET
iogr-1185	222	44	course	course	NOUN
iogr-1185	222	45	of	of	ADP
iogr-1185	222	46	injection	injection	NOUN
iogr-1185	222	47	and	and	CCONJ
iogr-1185	222	48	flowback	flowback	NOUN
iogr-1185	222	49	.	.	PUNCT
iogr-1185	223	1	fracturing	fracture	VERB
iogr-1185	223	2	fluid	fluid	ADJ
iogr-1185	223	3	flow	flow	NOUN
iogr-1185	223	4	.	.	PUNCT
iogr-1185	224	1	the	the	DET
iogr-1185	224	2	model	model	NOUN
iogr-1185	224	3	was	be	AUX
iogr-1185	224	4	run	run	VERB
iogr-1185	224	5	to	to	PART
iogr-1185	224	6	investigate	investigate	VERB
iogr-1185	224	7	the	the	DET
iogr-1185	224	8	factors	factor	NOUN
iogr-1185	224	9	that	that	PRON
iogr-1185	224	10	affect	affect	VERB
iogr-1185	224	11	fracture	fracture	NOUN
iogr-1185	224	12	closure	closure	NOUN
iogr-1185	224	13	time	time	NOUN
iogr-1185	224	14	.	.	PUNCT
iogr-1185	225	1	the	the	DET
iogr-1185	225	2	pressure	pressure	NOUN
iogr-1185	225	3	profiles	profile	NOUN
iogr-1185	225	4	of	of	ADP
iogr-1185	225	5	the	the	DET
iogr-1185	225	6	wellhead	wellhead	NOUN
iogr-1185	225	7	during	during	ADP
iogr-1185	225	8	the	the	DET
iogr-1185	225	9	fracturing	fracturing	NOUN
iogr-1185	225	10	fluid	fluid	NOUN
iogr-1185	225	11	flowback	flowback	NOUN
iogr-1185	225	12	period	period	NOUN
iogr-1185	225	13	were	be	AUX
iogr-1185	225	14	established	establish	VERB
iogr-1185	225	15	with	with	ADP
iogr-1185	225	16	the	the	DET
iogr-1185	225	17	basic	basic	ADJ
iogr-1185	225	18	data	datum	NOUN
iogr-1185	225	19	in	in	ADP
iogr-1185	225	20	table	table	NOUN
iogr-1185	225	21	1	1	NUM
iogr-1185	225	22	by	by	ADP
iogr-1185	225	23	changing	change	VERB
iogr-1185	225	24	the	the	DET
iogr-1185	225	25	matrix	matrix	NOUN
iogr-1185	225	26	permeability	permeability	NOUN
iogr-1185	225	27	(	(	PUNCT
iogr-1185	225	28	figure	figure	NOUN
iogr-1185	225	29	10	10	NUM
iogr-1185	225	30	)	)	PUNCT
iogr-1185	225	31	and	and	CCONJ
iogr-1185	225	32	the	the	DET
iogr-1185	225	33	choke	choke	NOUN
iogr-1185	225	34	size	size	NOUN
iogr-1185	225	35	(	(	PUNCT
iogr-1185	225	36	figure	figure	NOUN
iogr-1185	225	37	11	11	NUM
iogr-1185	225	38	)	)	PUNCT
iogr-1185	225	39	.	.	PUNCT
iogr-1185	226	1	when	when	SCONJ
iogr-1185	226	2	the	the	DET
iogr-1185	226	3	wellhead	wellhead	NOUN
iogr-1185	226	4	pressure	pressure	NOUN
iogr-1185	226	5	was	be	AUX
iogr-1185	226	6	lower	low	ADJ
iogr-1185	226	7	than	than	ADP
iogr-1185	226	8	the	the	DET
iogr-1185	226	9	fracture	fracture	NOUN
iogr-1185	226	10	closing	closing	NOUN
iogr-1185	226	11	pressure	pressure	NOUN
iogr-1185	226	12	(	(	PUNCT
iogr-1185	226	13	53	53	NUM
iogr-1185	226	14	mpa	mpa	NOUN
iogr-1185	226	15	in	in	ADP
iogr-1185	226	16	this	this	DET
iogr-1185	226	17	case	case	NOUN
iogr-1185	226	18	)	)	PUNCT
iogr-1185	226	19	,	,	PUNCT
iogr-1185	226	20	the	the	DET
iogr-1185	226	21	fracture	fracture	NOUN
iogr-1185	226	22	was	be	AUX
iogr-1185	226	23	considered	consider	VERB
iogr-1185	226	24	closed	closed	ADJ
iogr-1185	226	25	.	.	PUNCT
iogr-1185	227	1	it	it	PRON
iogr-1185	227	2	was	be	AUX
iogr-1185	227	3	obvious	obvious	ADJ
iogr-1185	227	4	that	that	SCONJ
iogr-1185	227	5	the	the	DET
iogr-1185	227	6	fracture	fracture	NOUN
iogr-1185	227	7	closure	closure	NOUN
iogr-1185	227	8	time	time	NOUN
iogr-1185	227	9	gradually	gradually	ADV
iogr-1185	227	10	increased	increase	VERB
iogr-1185	227	11	with	with	ADP
iogr-1185	227	12	decreasing	decrease	VERB
iogr-1185	227	13	matrix	matrix	NOUN
iogr-1185	227	14	permeability	permeability	NOUN
iogr-1185	227	15	and	and	CCONJ
iogr-1185	227	16	choke	choke	VERB
iogr-1185	227	17	size	size	NOUN
iogr-1185	227	18	.	.	PUNCT
iogr-1185	228	1	the	the	PRON
iogr-1185	228	2	lower	low	ADJ
iogr-1185	228	3	the	the	DET
iogr-1185	228	4	matrix	matrix	NOUN
iogr-1185	228	5	permeability	permeability	NOUN
iogr-1185	228	6	,	,	PUNCT
iogr-1185	228	7	the	the	PRON
iogr-1185	228	8	slower	slow	ADJ
iogr-1185	228	9	the	the	DET
iogr-1185	228	10	fracture	fracture	NOUN
iogr-1185	228	11	pressure	pressure	NOUN
iogr-1185	228	12	drop	drop	NOUN
iogr-1185	228	13	and	and	CCONJ
iogr-1185	228	14	the	the	PRON
iogr-1185	228	15	longer	long	ADJ
iogr-1185	228	16	the	the	DET
iogr-1185	228	17	fracture	fracture	NOUN
iogr-1185	228	18	closure	closure	NOUN
iogr-1185	228	19	time	time	NOUN
iogr-1185	228	20	.	.	PUNCT
iogr-1185	229	1	and	and	CCONJ
iogr-1185	229	2	with	with	ADP
iogr-1185	229	3	decreased	decrease	VERB
iogr-1185	229	4	permeability	permeability	NOUN
iogr-1185	229	5	,	,	PUNCT
iogr-1185	229	6	the	the	DET
iogr-1185	229	7	decreasing	decrease	VERB
iogr-1185	229	8	trend	trend	NOUN
iogr-1185	229	9	of	of	ADP
iogr-1185	229	10	fracture	fracture	ADJ
iogr-1185	229	11	16	16	NUM
iogr-1185	229	12	pressure	pressure	NOUN
iogr-1185	229	13	was	be	AUX
iogr-1185	229	14	slower	slow	ADJ
iogr-1185	229	15	.	.	PUNCT
iogr-1185	230	1	in	in	ADP
iogr-1185	230	2	other	other	ADJ
iogr-1185	230	3	words	word	NOUN
iogr-1185	230	4	,	,	PUNCT
iogr-1185	230	5	for	for	ADP
iogr-1185	230	6	shale	shale	NOUN
iogr-1185	230	7	gas	gas	NOUN
iogr-1185	230	8	reservoirs	reservoir	NOUN
iogr-1185	230	9	,	,	PUNCT
iogr-1185	230	10	it	it	PRON
iogr-1185	230	11	takes	take	VERB
iogr-1185	230	12	longer	long	ADV
iogr-1185	230	13	for	for	ADP
iogr-1185	230	14	a	a	DET
iogr-1185	230	15	fracture	fracture	NOUN
iogr-1185	230	16	to	to	PART
iogr-1185	230	17	close	close	VERB
iogr-1185	230	18	because	because	SCONJ
iogr-1185	230	19	of	of	ADP
iogr-1185	230	20	the	the	DET
iogr-1185	230	21	extremely	extremely	ADV
iogr-1185	230	22	low	low	ADJ
iogr-1185	230	23	permeability	permeability	NOUN
iogr-1185	230	24	.	.	PUNCT
iogr-1185	231	1	but	but	CCONJ
iogr-1185	231	2	by	by	ADP
iogr-1185	231	3	increasing	increase	VERB
iogr-1185	231	4	choke	choke	NOUN
iogr-1185	231	5	size	size	NOUN
iogr-1185	231	6	in	in	ADP
iogr-1185	231	7	the	the	DET
iogr-1185	231	8	wellhead	wellhead	NOUN
iogr-1185	231	9	,	,	PUNCT
iogr-1185	231	10	it	it	PRON
iogr-1185	231	11	is	be	AUX
iogr-1185	231	12	possible	possible	ADJ
iogr-1185	231	13	to	to	PART
iogr-1185	231	14	obtain	obtain	VERB
iogr-1185	231	15	an	an	DET
iogr-1185	231	16	optimal	optimal	ADJ
iogr-1185	231	17	flow	flow	NOUN
iogr-1185	231	18	rate	rate	NOUN
iogr-1185	231	19	that	that	PRON
iogr-1185	231	20	can	can	AUX
iogr-1185	231	21	reduce	reduce	VERB
iogr-1185	231	22	fracture	fracture	NOUN
iogr-1185	231	23	closing	closing	NOUN
iogr-1185	231	24	time	time	NOUN
iogr-1185	231	25	and	and	CCONJ
iogr-1185	231	26	prevent	prevent	VERB
iogr-1185	231	27	proppant	proppant	NOUN
iogr-1185	231	28	flowback	flowback	NOUN
iogr-1185	231	29	.	.	PUNCT
iogr-1185	232	1	figure	figure	NOUN
iogr-1185	232	2	10	10	NUM
iogr-1185	232	3	—	—	PUNCT
iogr-1185	232	4	wellhead	wellhead	NOUN
iogr-1185	232	5	pressure	pressure	NOUN
iogr-1185	232	6	in	in	ADP
iogr-1185	232	7	the	the	DET
iogr-1185	232	8	fracture	fracture	NOUN
iogr-1185	232	9	with	with	ADP
iogr-1185	232	10	various	various	ADJ
iogr-1185	232	11	matrix	matrix	NOUN
iogr-1185	232	12	permeabilities	permeability	NOUN
iogr-1185	232	13	.	.	PUNCT
iogr-1185	233	1	figure	figure	VERB
iogr-1185	233	2	11	11	NUM
iogr-1185	233	3	—	—	PUNCT
iogr-1185	233	4	wellhead	wellhead	NOUN
iogr-1185	233	5	pressure	pressure	NOUN
iogr-1185	233	6	in	in	ADP
iogr-1185	233	7	the	the	DET
iogr-1185	233	8	fracture	fracture	NOUN
iogr-1185	233	9	with	with	ADP
iogr-1185	233	10	various	various	ADJ
iogr-1185	233	11	choke	choke	NOUN
iogr-1185	233	12	sizes	size	NOUN
iogr-1185	233	13	.	.	PUNCT
iogr-1185	234	1	optimization	optimization	NOUN
iogr-1185	234	2	of	of	ADP
iogr-1185	234	3	flowback	flowback	NOUN
iogr-1185	234	4	scheme.on	scheme.on	NUM
iogr-1185	234	5	the	the	DET
iogr-1185	234	6	basis	basis	NOUN
iogr-1185	234	7	of	of	ADP
iogr-1185	234	8	the	the	DET
iogr-1185	234	9	above	above	ADJ
iogr-1185	234	10	analysis	analysis	NOUN
iogr-1185	234	11	,	,	PUNCT
iogr-1185	234	12	we	we	PRON
iogr-1185	234	13	applied	apply	VERB
iogr-1185	234	14	the	the	DET
iogr-1185	234	15	proposed	propose	VERB
iogr-1185	234	16	model	model	NOUN
iogr-1185	234	17	to	to	PART
iogr-1185	234	18	optimize	optimize	VERB
iogr-1185	234	19	the	the	DET
iogr-1185	234	20	flowback	flowback	NOUN
iogr-1185	234	21	mode	mode	NOUN
iogr-1185	234	22	and	and	CCONJ
iogr-1185	234	23	choke	choke	VERB
iogr-1185	234	24	size	size	NOUN
iogr-1185	234	25	corresponding	correspond	VERB
iogr-1185	234	26	to	to	ADP
iogr-1185	234	27	measured	measure	VERB
iogr-1185	234	28	wellhead	wellhead	NOUN
iogr-1185	234	29	pressure	pressure	NOUN
iogr-1185	234	30	.	.	PUNCT
iogr-1185	235	1	traditional	traditional	ADJ
iogr-1185	235	2	flowback	flowback	NOUN
iogr-1185	235	3	mode	mode	NOUN
iogr-1185	235	4	.	.	PUNCT
iogr-1185	236	1	the	the	DET
iogr-1185	236	2	traditional	traditional	ADJ
iogr-1185	236	3	flowback	flowback	NOUN
iogr-1185	236	4	mode	mode	NOUN
iogr-1185	236	5	refers	refer	VERB
iogr-1185	236	6	to	to	ADP
iogr-1185	236	7	the	the	DET
iogr-1185	236	8	choke	choke	NOUN
iogr-1185	236	9	size	size	NOUN
iogr-1185	236	10	(	(	PUNCT
iogr-1185	236	11	radius	radius	NOUN
iogr-1185	236	12	of	of	ADP
iogr-1185	236	13	2	2	NUM
iogr-1185	236	14	mm	mm	NOUN
iogr-1185	236	15	)	)	PUNCT
iogr-1185	236	16	not	not	PART
iogr-1185	236	17	vary	vary	VERB
iogr-1185	236	18	during	during	ADP
iogr-1185	236	19	fracturing	fracture	VERB
iogr-1185	236	20	fluid	fluid	NOUN
iogr-1185	236	21	flowback	flowback	NOUN
iogr-1185	236	22	.	.	PUNCT
iogr-1185	237	1	the	the	DET
iogr-1185	237	2	wellhead	wellhead	NOUN
iogr-1185	237	3	pressure	pressure	NOUN
iogr-1185	237	4	profile	profile	NOUN
iogr-1185	237	5	obtained	obtain	VERB
iogr-1185	237	6	by	by	ADP
iogr-1185	237	7	the	the	DET
iogr-1185	237	8	proposed	propose	VERB
iogr-1185	237	9	model	model	NOUN
iogr-1185	237	10	is	be	AUX
iogr-1185	237	11	shown	show	VERB
iogr-1185	237	12	in	in	ADP
iogr-1185	237	13	figure	figure	NOUN
iogr-1185	237	14	12	12	NUM
iogr-1185	237	15	.	.	PUNCT
iogr-1185	238	1	the	the	DET
iogr-1185	238	2	result	result	NOUN
iogr-1185	238	3	shows	show	VERB
iogr-1185	238	4	that	that	SCONJ
iogr-1185	238	5	the	the	DET
iogr-1185	238	6	fracture	fracture	NOUN
iogr-1185	238	7	closed	close	VERB
iogr-1185	238	8	at	at	ADP
iogr-1185	238	9	1,440	1,440	NUM
iogr-1185	238	10	minutes	minute	NOUN
iogr-1185	238	11	and	and	CCONJ
iogr-1185	238	12	the	the	DET
iogr-1185	238	13	pressure	pressure	NOUN
iogr-1185	238	14	decreased	decrease	VERB
iogr-1185	238	15	by	by	ADP
iogr-1185	238	16	32.4	32.4	NUM
iogr-1185	238	17	mpa	mpa	NOUN
iogr-1185	238	18	in	in	ADP
iogr-1185	238	19	30	30	NUM
iogr-1185	238	20	days	day	NOUN
iogr-1185	238	21	.	.	PUNCT
iogr-1185	239	1	20	20	NUM
iogr-1185	239	2	30	30	NUM
iogr-1185	239	3	40	40	NUM
iogr-1185	239	4	50	50	NUM
iogr-1185	239	5	60	60	NUM
iogr-1185	239	6	70	70	NUM
iogr-1185	239	7	80	80	NUM
iogr-1185	239	8	0	0	NUM
iogr-1185	239	9	10	10	NUM
iogr-1185	239	10	20	20	NUM
iogr-1185	239	11	30	30	NUM
iogr-1185	239	12	40	40	NUM
iogr-1185	239	13	50	50	NUM
iogr-1185	239	14	w	w	NOUN
iogr-1185	239	15	el	el	PROPN
iogr-1185	240	1	lh	lh	PROPN
iogr-1185	241	1	ea	ea	PROPN
iogr-1185	242	1	d	d	PROPN
iogr-1185	242	2	p	p	X
iogr-1185	242	3	re	re	VERB
iogr-1185	242	4	ss	ss	PROPN
iogr-1185	242	5	u	u	NOUN
iogr-1185	242	6	re	re	ADP
iogr-1185	242	7	,	,	PUNCT
iogr-1185	242	8	m	m	VERB
iogr-1185	242	9	p	p	NOUN
iogr-1185	242	10	a	a	DET
iogr-1185	242	11	time	time	NOUN
iogr-1185	242	12	,	,	PUNCT
iogr-1185	242	13	days	day	NOUN
iogr-1185	242	14	k=0.001md	k=0.001md	PROPN
iogr-1185	242	15	k=0.003md	k=0.003md	NOUN
iogr-1185	242	16	k=0.005md	k=0.005md	PROPN
iogr-1185	242	17	k=0.01md	k=0.01md	PROPN
iogr-1185	242	18	fracture	fracture	NOUN
iogr-1185	242	19	closure	closure	NOUN
iogr-1185	242	20	pressure	pressure	NOUN
iogr-1185	242	21	(	(	PUNCT
iogr-1185	242	22	52	52	NUM
iogr-1185	242	23	mpa	mpa	NOUN
iogr-1185	242	24	)	)	PUNCT
iogr-1185	242	25	20	20	NUM
iogr-1185	242	26	30	30	NUM
iogr-1185	242	27	40	40	NUM
iogr-1185	242	28	50	50	NUM
iogr-1185	242	29	60	60	NUM
iogr-1185	242	30	70	70	NUM
iogr-1185	242	31	80	80	NUM
iogr-1185	242	32	0	0	NUM
iogr-1185	242	33	10	10	NUM
iogr-1185	242	34	20	20	NUM
iogr-1185	242	35	30	30	NUM
iogr-1185	242	36	40	40	NUM
iogr-1185	242	37	50	50	NUM
iogr-1185	242	38	w	w	NOUN
iogr-1185	242	39	el	el	PROPN
iogr-1185	243	1	lh	lh	PROPN
iogr-1185	244	1	ea	ea	PROPN
iogr-1185	245	1	d	d	PROPN
iogr-1185	245	2	p	p	X
iogr-1185	245	3	re	re	VERB
iogr-1185	245	4	ss	ss	PROPN
iogr-1185	245	5	u	u	NOUN
iogr-1185	245	6	re	re	ADP
iogr-1185	245	7	,	,	PUNCT
iogr-1185	245	8	m	m	VERB
iogr-1185	245	9	p	p	NOUN
iogr-1185	245	10	a	a	DET
iogr-1185	245	11	time	time	NOUN
iogr-1185	245	12	,	,	PUNCT
iogr-1185	245	13	days	day	NOUN
iogr-1185	245	14	r=2	r=2	PROPN
iogr-1185	245	15	mm	mm	PROPN
iogr-1185	245	16	r=3	r=3	PROPN
iogr-1185	245	17	mm	mm	PROPN
iogr-1185	245	18	r=4	r=4	PROPN
iogr-1185	245	19	mm	mm	PROPN
iogr-1185	245	20	r=5	r=5	PROPN
iogr-1185	245	21	mm	mm	ADJ
iogr-1185	245	22	r=6	r=6	PROPN
iogr-1185	245	23	mm	mm	NOUN
iogr-1185	245	24	fracture	fracture	NOUN
iogr-1185	245	25	closure	closure	NOUN
iogr-1185	245	26	pressure	pressure	NOUN
iogr-1185	245	27	(	(	PUNCT
iogr-1185	245	28	52	52	NUM
iogr-1185	245	29	mpa	mpa	NOUN
iogr-1185	245	30	)	)	PUNCT
iogr-1185	245	31	17	17	NUM
iogr-1185	245	32	figure	figure	NOUN
iogr-1185	245	33	12	12	NUM
iogr-1185	245	34	—	—	PUNCT
iogr-1185	245	35	wellhead	wellhead	NOUN
iogr-1185	245	36	pressure	pressure	NOUN
iogr-1185	245	37	curve	curve	NOUN
iogr-1185	245	38	in	in	ADP
iogr-1185	245	39	the	the	DET
iogr-1185	245	40	traditional	traditional	ADJ
iogr-1185	245	41	flowback	flowback	NOUN
iogr-1185	245	42	scheme	scheme	NOUN
iogr-1185	245	43	.	.	PUNCT
iogr-1185	246	1	natural	natural	ADJ
iogr-1185	246	2	closure	closure	NOUN
iogr-1185	246	3	mode	mode	NOUN
iogr-1185	246	4	.	.	PUNCT
iogr-1185	247	1	in	in	ADP
iogr-1185	247	2	natural	natural	ADJ
iogr-1185	247	3	closure	closure	NOUN
iogr-1185	247	4	mode	mode	NOUN
iogr-1185	247	5	,	,	PUNCT
iogr-1185	247	6	the	the	DET
iogr-1185	247	7	well	well	NOUN
iogr-1185	247	8	is	be	AUX
iogr-1185	247	9	shut	shut	VERB
iogr-1185	247	10	in	in	ADP
iogr-1185	247	11	until	until	SCONJ
iogr-1185	247	12	the	the	DET
iogr-1185	247	13	fracture	fracture	NOUN
iogr-1185	247	14	is	be	AUX
iogr-1185	247	15	closed	close	VERB
iogr-1185	247	16	after	after	ADP
iogr-1185	247	17	fracturing	fracture	VERB
iogr-1185	247	18	,	,	PUNCT
iogr-1185	247	19	and	and	CCONJ
iogr-1185	247	20	then	then	ADV
iogr-1185	247	21	the	the	DET
iogr-1185	247	22	flowback	flowback	NOUN
iogr-1185	247	23	initiates	initiate	VERB
iogr-1185	247	24	.	.	PUNCT
iogr-1185	248	1	the	the	DET
iogr-1185	248	2	predicted	predict	VERB
iogr-1185	248	3	wellhead	wellhead	NOUN
iogr-1185	248	4	pressure	pressure	NOUN
iogr-1185	248	5	is	be	AUX
iogr-1185	248	6	presented	present	VERB
iogr-1185	248	7	in	in	ADP
iogr-1185	248	8	figure	figure	NOUN
iogr-1185	248	9	13	13	NUM
iogr-1185	248	10	.	.	PUNCT
iogr-1185	249	1	the	the	DET
iogr-1185	249	2	fracture	fracture	NOUN
iogr-1185	249	3	closed	close	VERB
iogr-1185	249	4	at	at	ADP
iogr-1185	249	5	1,584	1,584	NUM
iogr-1185	249	6	minutes	minute	NOUN
iogr-1185	249	7	,	,	PUNCT
iogr-1185	249	8	and	and	CCONJ
iogr-1185	249	9	then	then	ADV
iogr-1185	249	10	choke	choke	VERB
iogr-1185	249	11	size	size	NOUN
iogr-1185	249	12	increased	increase	VERB
iogr-1185	249	13	from	from	ADP
iogr-1185	249	14	4	4	NUM
iogr-1185	249	15	to	to	PART
iogr-1185	249	16	8	8	NUM
iogr-1185	249	17	mm	mm	NOUN
iogr-1185	249	18	at	at	ADP
iogr-1185	249	19	7.6	7.6	NUM
iogr-1185	249	20	days	day	NOUN
iogr-1185	249	21	.	.	PUNCT
iogr-1185	250	1	the	the	DET
iogr-1185	250	2	pressure	pressure	NOUN
iogr-1185	250	3	decreased	decrease	VERB
iogr-1185	250	4	by	by	ADP
iogr-1185	250	5	34.5	34.5	NUM
iogr-1185	250	6	mpa	mpa	NOUN
iogr-1185	250	7	in	in	ADP
iogr-1185	250	8	30	30	NUM
iogr-1185	250	9	days	day	NOUN
iogr-1185	250	10	.	.	PUNCT
iogr-1185	251	1	it	it	PRON
iogr-1185	251	2	was	be	AUX
iogr-1185	251	3	observed	observe	VERB
iogr-1185	251	4	that	that	SCONJ
iogr-1185	251	5	when	when	SCONJ
iogr-1185	251	6	the	the	DET
iogr-1185	251	7	fracture	fracture	NOUN
iogr-1185	251	8	closed	close	VERB
iogr-1185	251	9	and	and	CCONJ
iogr-1185	251	10	the	the	DET
iogr-1185	251	11	choke	choke	NOUN
iogr-1185	251	12	size	size	NOUN
iogr-1185	251	13	increased	increase	VERB
iogr-1185	251	14	,	,	PUNCT
iogr-1185	251	15	the	the	DET
iogr-1185	251	16	pressure	pressure	NOUN
iogr-1185	251	17	decreased	decrease	VERB
iogr-1185	251	18	suddenly	suddenly	ADV
iogr-1185	251	19	.	.	PUNCT
iogr-1185	252	1	figure	figure	VERB
iogr-1185	252	2	13	13	NUM
iogr-1185	252	3	—	—	PUNCT
iogr-1185	252	4	wellhead	wellhead	NOUN
iogr-1185	252	5	pressure	pressure	NOUN
iogr-1185	252	6	in	in	ADP
iogr-1185	252	7	natural	natural	ADJ
iogr-1185	252	8	fracture	fracture	NOUN
iogr-1185	252	9	closure	closure	NOUN
iogr-1185	252	10	mode	mode	NOUN
iogr-1185	252	11	.	.	PUNCT
iogr-1185	253	1	forced	force	VERB
iogr-1185	253	2	closure	closure	NOUN
iogr-1185	253	3	mode	mode	NOUN
iogr-1185	253	4	.	.	PUNCT
iogr-1185	254	1	in	in	ADP
iogr-1185	254	2	forced	force	VERB
iogr-1185	254	3	closure	closure	NOUN
iogr-1185	254	4	mode	mode	NOUN
iogr-1185	254	5	,	,	PUNCT
iogr-1185	254	6	flowback	flowback	NOUN
iogr-1185	254	7	is	be	AUX
iogr-1185	254	8	performed	perform	VERB
iogr-1185	254	9	immediately	immediately	ADV
iogr-1185	254	10	with	with	ADP
iogr-1185	254	11	a	a	DET
iogr-1185	254	12	choke	choke	ADJ
iogr-1185	254	13	size	size	NOUN
iogr-1185	254	14	of	of	ADP
iogr-1185	254	15	2	2	NUM
iogr-1185	254	16	mm	mm	NOUN
iogr-1185	254	17	after	after	ADP
iogr-1185	254	18	fracturing	fracture	VERB
iogr-1185	254	19	.	.	PUNCT
iogr-1185	255	1	the	the	DET
iogr-1185	255	2	estimated	estimate	VERB
iogr-1185	255	3	wellhead	wellhead	NOUN
iogr-1185	255	4	pressure	pressure	NOUN
iogr-1185	255	5	is	be	AUX
iogr-1185	255	6	presented	present	VERB
iogr-1185	255	7	in	in	ADP
iogr-1185	255	8	figure	figure	NOUN
iogr-1185	255	9	14	14	NUM
iogr-1185	255	10	.	.	PUNCT
iogr-1185	256	1	the	the	DET
iogr-1185	256	2	fracture	fracture	NOUN
iogr-1185	256	3	closed	close	VERB
iogr-1185	256	4	and	and	CCONJ
iogr-1185	256	5	the	the	DET
iogr-1185	256	6	choke	choke	NOUN
iogr-1185	256	7	size	size	NOUN
iogr-1185	256	8	increased	increase	VERB
iogr-1185	256	9	to	to	ADP
iogr-1185	256	10	4	4	NUM
iogr-1185	256	11	mm	mm	NOUN
iogr-1185	256	12	at	at	ADP
iogr-1185	256	13	1,044	1,044	NUM
iogr-1185	256	14	minutes	minute	NOUN
iogr-1185	256	15	.	.	PUNCT
iogr-1185	257	1	after	after	ADP
iogr-1185	257	2	7.1	7.1	NUM
iogr-1185	257	3	days	day	NOUN
iogr-1185	257	4	,	,	PUNCT
iogr-1185	257	5	the	the	DET
iogr-1185	257	6	choke	choke	NOUN
iogr-1185	257	7	size	size	NOUN
iogr-1185	257	8	increased	increase	VERB
iogr-1185	257	9	to	to	ADP
iogr-1185	257	10	8	8	NUM
iogr-1185	257	11	mm	mm	NOUN
iogr-1185	257	12	.	.	PUNCT
iogr-1185	258	1	the	the	DET
iogr-1185	258	2	pressure	pressure	NOUN
iogr-1185	258	3	dropped	drop	VERB
iogr-1185	258	4	by	by	ADP
iogr-1185	258	5	35.8	35.8	NUM
iogr-1185	258	6	mpa	mpa	NOUN
iogr-1185	258	7	in	in	ADP
iogr-1185	258	8	30	30	NUM
iogr-1185	258	9	days	day	NOUN
iogr-1185	258	10	.	.	PUNCT
iogr-1185	259	1	0	0	NUM
iogr-1185	260	1	10	10	NUM
iogr-1185	260	2	20	20	NUM
iogr-1185	260	3	30	30	NUM
iogr-1185	260	4	40	40	NUM
iogr-1185	260	5	50	50	NUM
iogr-1185	260	6	60	60	NUM
iogr-1185	260	7	70	70	NUM
iogr-1185	260	8	80	80	NUM
iogr-1185	260	9	0	0	NUM
iogr-1185	260	10	5	5	NUM
iogr-1185	260	11	10	10	NUM
iogr-1185	260	12	15	15	NUM
iogr-1185	260	13	20	20	NUM
iogr-1185	260	14	25	25	NUM
iogr-1185	260	15	30	30	NUM
iogr-1185	260	16	35	35	NUM
iogr-1185	260	17	w	w	NOUN
iogr-1185	260	18	el	el	PROPN
iogr-1185	260	19	lh	lh	PROPN
iogr-1185	260	20	ea	ea	PROPN
iogr-1185	261	1	d	d	PROPN
iogr-1185	261	2	p	p	X
iogr-1185	261	3	re	re	VERB
iogr-1185	261	4	ss	ss	PROPN
iogr-1185	261	5	u	u	NOUN
iogr-1185	261	6	re	re	ADP
iogr-1185	261	7	,	,	PUNCT
iogr-1185	261	8	m	m	VERB
iogr-1185	261	9	p	p	NOUN
iogr-1185	261	10	a	a	DET
iogr-1185	261	11	time	time	NOUN
iogr-1185	261	12	,	,	PUNCT
iogr-1185	261	13	days	day	NOUN
iogr-1185	261	14	fracture	fracture	ADJ
iogr-1185	261	15	closure	closure	NOUN
iogr-1185	261	16	pressure	pressure	NOUN
iogr-1185	261	17	(	(	PUNCT
iogr-1185	261	18	52	52	NUM
iogr-1185	261	19	mpa	mpa	NOUN
iogr-1185	261	20	)	)	PUNCT
iogr-1185	261	21	0	0	NUM
iogr-1185	262	1	10	10	NUM
iogr-1185	262	2	20	20	NUM
iogr-1185	262	3	30	30	NUM
iogr-1185	262	4	40	40	NUM
iogr-1185	262	5	50	50	NUM
iogr-1185	262	6	60	60	NUM
iogr-1185	262	7	70	70	NUM
iogr-1185	262	8	80	80	NUM
iogr-1185	262	9	0	0	NUM
iogr-1185	262	10	5	5	NUM
iogr-1185	262	11	10	10	NUM
iogr-1185	262	12	15	15	NUM
iogr-1185	262	13	20	20	NUM
iogr-1185	262	14	25	25	NUM
iogr-1185	262	15	30	30	NUM
iogr-1185	262	16	35	35	NUM
iogr-1185	262	17	w	w	NOUN
iogr-1185	262	18	el	el	PROPN
iogr-1185	262	19	lh	lh	PROPN
iogr-1185	262	20	ea	ea	PROPN
iogr-1185	263	1	d	d	PROPN
iogr-1185	263	2	p	p	X
iogr-1185	263	3	re	re	VERB
iogr-1185	263	4	ss	ss	PROPN
iogr-1185	263	5	u	u	NOUN
iogr-1185	263	6	re	re	ADP
iogr-1185	263	7	,	,	PUNCT
iogr-1185	263	8	m	m	VERB
iogr-1185	263	9	p	p	NOUN
iogr-1185	263	10	a	a	DET
iogr-1185	263	11	time	time	NOUN
iogr-1185	263	12	,	,	PUNCT
iogr-1185	263	13	days	day	NOUN
iogr-1185	263	14	no	no	DET
iogr-1185	263	15	choke	choke	NOUN
iogr-1185	263	16	choke	choke	VERB
iogr-1185	263	17	size=4	size=4	PROPN
iogr-1185	263	18	mm	mm	PROPN
iogr-1185	263	19	choke	choke	NOUN
iogr-1185	263	20	size=8	size=8	PROPN
iogr-1185	263	21	mm	mm	PROPN
iogr-1185	263	22	18	18	NUM
iogr-1185	263	23	figure	figure	NOUN
iogr-1185	263	24	14	14	NUM
iogr-1185	263	25	—	—	PUNCT
iogr-1185	263	26	wellhead	wellhead	NOUN
iogr-1185	263	27	pressure	pressure	NOUN
iogr-1185	263	28	curve	curve	NOUN
iogr-1185	263	29	in	in	ADP
iogr-1185	263	30	forced	force	VERB
iogr-1185	263	31	closure	closure	NOUN
iogr-1185	263	32	mode	mode	NOUN
iogr-1185	263	33	.	.	PUNCT
iogr-1185	264	1	the	the	DET
iogr-1185	264	2	comparison	comparison	NOUN
iogr-1185	264	3	of	of	ADP
iogr-1185	264	4	the	the	DET
iogr-1185	264	5	above	above	ADJ
iogr-1185	264	6	three	three	NUM
iogr-1185	264	7	schemes	scheme	NOUN
iogr-1185	264	8	shows	show	VERB
iogr-1185	264	9	that	that	SCONJ
iogr-1185	264	10	in	in	ADP
iogr-1185	264	11	the	the	DET
iogr-1185	264	12	forced	force	VERB
iogr-1185	264	13	closure	closure	NOUN
iogr-1185	264	14	mode	mode	NOUN
iogr-1185	264	15	of	of	ADP
iogr-1185	264	16	the	the	DET
iogr-1185	264	17	fracture	fracture	NOUN
iogr-1185	264	18	,	,	PUNCT
iogr-1185	264	19	the	the	DET
iogr-1185	264	20	pressure	pressure	NOUN
iogr-1185	264	21	decreased	decrease	VERB
iogr-1185	264	22	more	more	ADV
iogr-1185	264	23	rapidly	rapidly	ADV
iogr-1185	264	24	,	,	PUNCT
iogr-1185	264	25	the	the	DET
iogr-1185	264	26	fracture	fracture	NOUN
iogr-1185	264	27	closed	close	VERB
iogr-1185	264	28	earlier	early	ADV
iogr-1185	264	29	,	,	PUNCT
iogr-1185	264	30	and	and	CCONJ
iogr-1185	264	31	the	the	DET
iogr-1185	264	32	final	final	ADJ
iogr-1185	264	33	stress	stress	NOUN
iogr-1185	264	34	equilibrium	equilibrium	NOUN
iogr-1185	264	35	time	time	NOUN
iogr-1185	264	36	was	be	AUX
iogr-1185	264	37	shorter	short	ADJ
iogr-1185	264	38	,	,	PUNCT
iogr-1185	264	39	causing	cause	VERB
iogr-1185	264	40	less	less	ADJ
iogr-1185	264	41	damage	damage	NOUN
iogr-1185	264	42	to	to	ADP
iogr-1185	264	43	the	the	DET
iogr-1185	264	44	reservoir	reservoir	NOUN
iogr-1185	264	45	.	.	PUNCT
iogr-1185	265	1	optimization	optimization	NOUN
iogr-1185	265	2	of	of	ADP
iogr-1185	265	3	choke	choke	ADJ
iogr-1185	265	4	size	size	NOUN
iogr-1185	265	5	.	.	PUNCT
iogr-1185	266	1	according	accord	VERB
iogr-1185	266	2	to	to	ADP
iogr-1185	266	3	the	the	DET
iogr-1185	266	4	above	above	ADJ
iogr-1185	266	5	analysis	analysis	NOUN
iogr-1185	266	6	,	,	PUNCT
iogr-1185	266	7	the	the	DET
iogr-1185	266	8	optimal	optimal	ADJ
iogr-1185	266	9	choke	choke	NOUN
iogr-1185	266	10	size	size	NOUN
iogr-1185	266	11	under	under	ADP
iogr-1185	266	12	forced	force	VERB
iogr-1185	266	13	closure	closure	NOUN
iogr-1185	266	14	mode	mode	NOUN
iogr-1185	266	15	without	without	ADP
iogr-1185	266	16	proppant	proppant	NOUN
iogr-1185	266	17	production	production	NOUN
iogr-1185	266	18	corresponding	correspond	VERB
iogr-1185	266	19	to	to	ADP
iogr-1185	266	20	wellhead	wellhead	NOUN
iogr-1185	266	21	pressure	pressure	NOUN
iogr-1185	266	22	is	be	AUX
iogr-1185	266	23	presented	present	VERB
iogr-1185	266	24	in	in	ADP
iogr-1185	266	25	figure	figure	NOUN
iogr-1185	266	26	15	15	NUM
iogr-1185	266	27	.	.	PUNCT
iogr-1185	267	1	the	the	DET
iogr-1185	267	2	fracture	fracture	NOUN
iogr-1185	267	3	was	be	AUX
iogr-1185	267	4	closed	close	VERB
iogr-1185	267	5	when	when	SCONJ
iogr-1185	267	6	the	the	DET
iogr-1185	267	7	wellhead	wellhead	NOUN
iogr-1185	267	8	pressure	pressure	NOUN
iogr-1185	267	9	was	be	AUX
iogr-1185	267	10	53	53	NUM
iogr-1185	267	11	mpa	mpa	NOUN
iogr-1185	267	12	.	.	PUNCT
iogr-1185	268	1	before	before	ADP
iogr-1185	268	2	fracture	fracture	PROPN
iogr-1185	268	3	closure	closure	NOUN
iogr-1185	268	4	,	,	PUNCT
iogr-1185	268	5	the	the	DET
iogr-1185	268	6	critical	critical	ADJ
iogr-1185	268	7	flowback	flowback	NOUN
iogr-1185	268	8	rate	rate	NOUN
iogr-1185	268	9	was	be	AUX
iogr-1185	268	10	2.5	2.5	NUM
iogr-1185	268	11	m3	m3	PROPN
iogr-1185	268	12	/	/	SYM
iogr-1185	268	13	h	h	NOUN
iogr-1185	268	14	and	and	CCONJ
iogr-1185	268	15	the	the	DET
iogr-1185	268	16	safe	safe	ADJ
iogr-1185	268	17	choke	choke	NOUN
iogr-1185	268	18	size	size	NOUN
iogr-1185	268	19	was	be	AUX
iogr-1185	268	20	2	2	NUM
iogr-1185	268	21	mm	mm	NOUN
iogr-1185	268	22	;	;	PUNCT
iogr-1185	268	23	after	after	ADP
iogr-1185	268	24	fracture	fracture	PROPN
iogr-1185	268	25	closure	closure	NOUN
iogr-1185	268	26	,	,	PUNCT
iogr-1185	268	27	the	the	DET
iogr-1185	268	28	critical	critical	ADJ
iogr-1185	268	29	flowback	flowback	NOUN
iogr-1185	268	30	rate	rate	NOUN
iogr-1185	268	31	was	be	AUX
iogr-1185	268	32	4	4	NUM
iogr-1185	268	33	to	to	PART
iogr-1185	268	34	14.6	14.6	NUM
iogr-1185	268	35	m3	m3	PROPN
iogr-1185	268	36	/	/	SYM
iogr-1185	268	37	h	h	NOUN
iogr-1185	268	38	,	,	PUNCT
iogr-1185	268	39	and	and	CCONJ
iogr-1185	268	40	the	the	DET
iogr-1185	268	41	choke	choke	NOUN
iogr-1185	268	42	size	size	NOUN
iogr-1185	268	43	without	without	ADP
iogr-1185	268	44	proppant	proppant	NOUN
iogr-1185	268	45	production	production	NOUN
iogr-1185	268	46	was	be	AUX
iogr-1185	268	47	4.2	4.2	NUM
iogr-1185	268	48	to	to	PART
iogr-1185	268	49	7.8	7.8	NUM
iogr-1185	268	50	mm	mm	NOUN
iogr-1185	268	51	.	.	PUNCT
iogr-1185	269	1	one	one	PRON
iogr-1185	269	2	can	can	AUX
iogr-1185	269	3	refer	refer	VERB
iogr-1185	269	4	to	to	PART
iogr-1185	269	5	figure	figure	VERB
iogr-1185	269	6	15	15	NUM
iogr-1185	269	7	to	to	PART
iogr-1185	269	8	adjust	adjust	VERB
iogr-1185	269	9	the	the	DET
iogr-1185	269	10	choke	choke	NOUN
iogr-1185	269	11	size	size	NOUN
iogr-1185	269	12	based	base	VERB
iogr-1185	269	13	on	on	ADP
iogr-1185	269	14	the	the	DET
iogr-1185	269	15	measured	measure	VERB
iogr-1185	269	16	wellhead	wellhead	NOUN
iogr-1185	269	17	pressure	pressure	NOUN
iogr-1185	269	18	during	during	ADP
iogr-1185	269	19	the	the	DET
iogr-1185	269	20	fracturing	fracturing	NOUN
iogr-1185	269	21	fluid	fluid	NOUN
iogr-1185	269	22	flowback	flowback	NOUN
iogr-1185	269	23	period	period	NOUN
iogr-1185	269	24	.	.	PUNCT
iogr-1185	270	1	figure	figure	VERB
iogr-1185	270	2	15	15	NUM
iogr-1185	270	3	—	—	PUNCT
iogr-1185	270	4	maximum	maximum	ADJ
iogr-1185	270	5	choke	choke	NOUN
iogr-1185	270	6	size	size	NOUN
iogr-1185	270	7	and	and	CCONJ
iogr-1185	270	8	flow	flow	NOUN
iogr-1185	270	9	rate	rate	NOUN
iogr-1185	270	10	without	without	ADP
iogr-1185	270	11	proppant	proppant	NOUN
iogr-1185	270	12	production	production	NOUN
iogr-1185	270	13	for	for	ADP
iogr-1185	270	14	different	different	ADJ
iogr-1185	270	15	wellhead	wellhead	NOUN
iogr-1185	270	16	pressures	pressure	NOUN
iogr-1185	270	17	.	.	PUNCT
iogr-1185	271	1	conclusions	conclusion	NOUN
iogr-1185	271	2	an	an	DET
iogr-1185	271	3	integrated	integrate	VERB
iogr-1185	271	4	reservoir	reservoir	NOUN
iogr-1185	271	5	-	-	PUNCT
iogr-1185	271	6	fracture	fracture	NOUN
iogr-1185	271	7	-	-	PUNCT
iogr-1185	271	8	wellbore	wellbore	NOUN
iogr-1185	271	9	model	model	NOUN
iogr-1185	271	10	was	be	AUX
iogr-1185	271	11	successfully	successfully	ADV
iogr-1185	271	12	applied	apply	VERB
iogr-1185	271	13	to	to	PART
iogr-1185	271	14	evaluate	evaluate	VERB
iogr-1185	271	15	the	the	DET
iogr-1185	271	16	stability	stability	NOUN
iogr-1185	271	17	of	of	ADP
iogr-1185	271	18	the	the	DET
iogr-1185	271	19	proppant	proppant	ADJ
iogr-1185	271	20	pack	pack	NOUN
iogr-1185	271	21	and	and	CCONJ
iogr-1185	271	22	optimize	optimize	VERB
iogr-1185	271	23	fracturing	fracturing	NOUN
iogr-1185	271	24	fluid	fluid	NOUN
iogr-1185	271	25	flowback	flowback	NOUN
iogr-1185	271	26	procedures	procedure	NOUN
iogr-1185	271	27	based	base	VERB
iogr-1185	271	28	on	on	ADP
iogr-1185	271	29	wellhead	wellhead	NOUN
iogr-1185	271	30	pressure	pressure	NOUN
iogr-1185	271	31	in	in	ADP
iogr-1185	271	32	multistage	multistage	NOUN
iogr-1185	271	33	fractured	fracture	VERB
iogr-1185	271	34	horizontal	horizontal	ADJ
iogr-1185	271	35	shale	shale	NOUN
iogr-1185	271	36	gas	gas	NOUN
iogr-1185	271	37	wells	well	NOUN
iogr-1185	271	38	.	.	PUNCT
iogr-1185	272	1	the	the	DET
iogr-1185	272	2	model	model	NOUN
iogr-1185	272	3	accuracies	accuracy	NOUN
iogr-1185	272	4	were	be	AUX
iogr-1185	272	5	verified	verify	VERB
iogr-1185	272	6	with	with	ADP
iogr-1185	272	7	an	an	DET
iogr-1185	272	8	example	example	NOUN
iogr-1185	272	9	,	,	PUNCT
iogr-1185	272	10	and	and	CCONJ
iogr-1185	272	11	the	the	DET
iogr-1185	272	12	following	follow	VERB
iogr-1185	272	13	conclusions	conclusion	NOUN
iogr-1185	272	14	were	be	AUX
iogr-1185	272	15	drawn	draw	VERB
iogr-1185	272	16	.	.	PUNCT
iogr-1185	273	1	0	0	NUM
iogr-1185	274	1	10	10	NUM
iogr-1185	274	2	20	20	NUM
iogr-1185	274	3	30	30	NUM
iogr-1185	274	4	40	40	NUM
iogr-1185	274	5	50	50	NUM
iogr-1185	274	6	60	60	NUM
iogr-1185	274	7	70	70	NUM
iogr-1185	274	8	80	80	NUM
iogr-1185	274	9	0	0	NUM
iogr-1185	274	10	5	5	NUM
iogr-1185	274	11	10	10	NUM
iogr-1185	274	12	15	15	NUM
iogr-1185	274	13	20	20	NUM
iogr-1185	274	14	25	25	NUM
iogr-1185	274	15	30	30	NUM
iogr-1185	274	16	35	35	NUM
iogr-1185	274	17	w	w	NOUN
iogr-1185	274	18	el	el	PROPN
iogr-1185	274	19	lh	lh	PROPN
iogr-1185	274	20	ea	ea	PROPN
iogr-1185	275	1	d	d	PROPN
iogr-1185	275	2	p	p	X
iogr-1185	275	3	re	re	VERB
iogr-1185	275	4	ss	ss	PROPN
iogr-1185	275	5	u	u	NOUN
iogr-1185	275	6	re	re	ADP
iogr-1185	275	7	,	,	PUNCT
iogr-1185	275	8	m	m	VERB
iogr-1185	275	9	p	p	NOUN
iogr-1185	275	10	a	a	DET
iogr-1185	275	11	time	time	NOUN
iogr-1185	275	12	,	,	PUNCT
iogr-1185	275	13	days	day	NOUN
iogr-1185	275	14	choke	choke	VERB
iogr-1185	275	15	size=2	size=2	PROPN
iogr-1185	275	16	mm	mm	PROPN
iogr-1185	275	17	choke	choke	NOUN
iogr-1185	275	18	size=4	size=4	PROPN
iogr-1185	275	19	mm	mm	PROPN
iogr-1185	275	20	choke	choke	NOUN
iogr-1185	275	21	size=8	size=8	PROPN
iogr-1185	275	22	mm	mm	NOUN
iogr-1185	275	23	0	0	NUM
iogr-1185	275	24	4	4	NUM
iogr-1185	275	25	8	8	NUM
iogr-1185	275	26	12	12	NUM
iogr-1185	275	27	16	16	NUM
iogr-1185	275	28	20	20	NUM
iogr-1185	275	29	0	0	NUM
iogr-1185	275	30	2	2	NUM
iogr-1185	275	31	4	4	NUM
iogr-1185	275	32	6	6	NUM
iogr-1185	275	33	8	8	NUM
iogr-1185	275	34	10	10	NUM
iogr-1185	275	35	20	20	NUM
iogr-1185	275	36	30	30	NUM
iogr-1185	275	37	40	40	NUM
iogr-1185	275	38	50	50	NUM
iogr-1185	275	39	60	60	NUM
iogr-1185	275	40	70	70	NUM
iogr-1185	275	41	80	80	NUM
iogr-1185	275	42	f	f	NOUN
iogr-1185	275	43	lo	lo	NOUN
iogr-1185	275	44	w	w	NOUN
iogr-1185	275	45	r	r	NOUN
iogr-1185	275	46	at	at	ADP
iogr-1185	275	47	e	e	NOUN
iogr-1185	275	48	,	,	PUNCT
iogr-1185	275	49	m	m	VERB
iogr-1185	275	50	3	3	NUM
iogr-1185	275	51	/h	/h	X
iogr-1185	276	1	c	c	NOUN
iogr-1185	277	1	h	h	NOUN
iogr-1185	278	1	o	o	NOUN
iogr-1185	278	2	k	k	X
iogr-1185	278	3	e	e	X
iogr-1185	278	4	si	si	PROPN
iogr-1185	278	5	ze	ze	PROPN
iogr-1185	278	6	,	,	PUNCT
iogr-1185	278	7	m	m	VERB
iogr-1185	278	8	m	m	VERB
iogr-1185	278	9	wellhead	wellhead	NOUN
iogr-1185	278	10	pressure	pressure	NOUN
iogr-1185	278	11	,	,	PUNCT
iogr-1185	278	12	mpa	mpa	PROPN
iogr-1185	278	13	choke	choke	VERB
iogr-1185	278	14	size	size	NOUN
iogr-1185	278	15	critical	critical	ADJ
iogr-1185	278	16	flow	flow	NOUN
iogr-1185	278	17	rate	rate	NOUN
iogr-1185	278	18	19	19	NUM
iogr-1185	278	19	1	1	NUM
iogr-1185	278	20	.	.	PUNCT
iogr-1185	279	1	through	through	ADP
iogr-1185	279	2	simulations	simulation	NOUN
iogr-1185	279	3	,	,	PUNCT
iogr-1185	279	4	the	the	DET
iogr-1185	279	5	effects	effect	NOUN
iogr-1185	279	6	of	of	ADP
iogr-1185	279	7	the	the	DET
iogr-1185	279	8	different	different	ADJ
iogr-1185	279	9	parameters	parameter	NOUN
iogr-1185	279	10	on	on	ADP
iogr-1185	279	11	wellhead	wellhead	NOUN
iogr-1185	279	12	pressure	pressure	NOUN
iogr-1185	279	13	,	,	PUNCT
iogr-1185	279	14	fracture	fracture	NOUN
iogr-1185	279	15	closure	closure	NOUN
iogr-1185	279	16	time	time	NOUN
iogr-1185	279	17	,	,	PUNCT
iogr-1185	279	18	and	and	CCONJ
iogr-1185	279	19	final	final	ADJ
iogr-1185	279	20	equilibrium	equilibrium	NOUN
iogr-1185	279	21	time	time	NOUN
iogr-1185	279	22	during	during	ADP
iogr-1185	279	23	fracturing	fracture	VERB
iogr-1185	279	24	fluid	fluid	NOUN
iogr-1185	279	25	flowback	flowback	NOUN
iogr-1185	279	26	were	be	AUX
iogr-1185	279	27	determined	determine	VERB
iogr-1185	279	28	:	:	PUNCT
iogr-1185	279	29	larger	large	ADJ
iogr-1185	279	30	choke	choke	NOUN
iogr-1185	279	31	size	size	NOUN
iogr-1185	279	32	and	and	CCONJ
iogr-1185	279	33	higher	high	ADJ
iogr-1185	279	34	reservoir	reservoir	NOUN
iogr-1185	279	35	permeability	permeability	NOUN
iogr-1185	279	36	result	result	VERB
iogr-1185	279	37	in	in	ADP
iogr-1185	279	38	faster	fast	ADJ
iogr-1185	279	39	wellhead	wellhead	NOUN
iogr-1185	279	40	pressure	pressure	NOUN
iogr-1185	279	41	drop	drop	NOUN
iogr-1185	279	42	,	,	PUNCT
iogr-1185	279	43	shorter	short	ADJ
iogr-1185	279	44	fracture	fracture	NOUN
iogr-1185	279	45	closure	closure	NOUN
iogr-1185	279	46	time	time	NOUN
iogr-1185	279	47	,	,	PUNCT
iogr-1185	279	48	and	and	CCONJ
iogr-1185	279	49	shorter	short	ADJ
iogr-1185	279	50	equilibrium	equilibrium	NOUN
iogr-1185	279	51	time	time	NOUN
iogr-1185	279	52	(	(	PUNCT
iogr-1185	279	53	figures	figure	NOUN
iogr-1185	279	54	10	10	NUM
iogr-1185	279	55	and	and	CCONJ
iogr-1185	279	56	11	11	NUM
iogr-1185	279	57	)	)	PUNCT
iogr-1185	279	58	.	.	PUNCT
iogr-1185	280	1	2	2	X
iogr-1185	280	2	.	.	X
iogr-1185	280	3	during	during	ADP
iogr-1185	280	4	fracturing	fracture	VERB
iogr-1185	280	5	fluid	fluid	NOUN
iogr-1185	280	6	flowback	flowback	NOUN
iogr-1185	280	7	,	,	PUNCT
iogr-1185	280	8	several	several	ADJ
iogr-1185	280	9	parameters	parameter	NOUN
iogr-1185	280	10	influence	influence	VERB
iogr-1185	280	11	the	the	DET
iogr-1185	280	12	critical	critical	ADJ
iogr-1185	280	13	flow	flow	NOUN
iogr-1185	280	14	rate	rate	NOUN
iogr-1185	280	15	and	and	CCONJ
iogr-1185	280	16	choke	choke	ADJ
iogr-1185	280	17	size	size	NOUN
iogr-1185	280	18	required	require	VERB
iogr-1185	280	19	for	for	ADP
iogr-1185	280	20	proppant	proppant	ADJ
iogr-1185	280	21	pack	pack	NOUN
iogr-1185	280	22	stability	stability	NOUN
iogr-1185	280	23	:	:	PUNCT
iogr-1185	280	24	as	as	SCONJ
iogr-1185	280	25	the	the	DET
iogr-1185	280	26	fracture	fracture	NOUN
iogr-1185	280	27	is	be	AUX
iogr-1185	280	28	closed	close	VERB
iogr-1185	280	29	,	,	PUNCT
iogr-1185	280	30	the	the	DET
iogr-1185	280	31	critical	critical	ADJ
iogr-1185	280	32	flowback	flowback	NOUN
iogr-1185	280	33	rate	rate	NOUN
iogr-1185	280	34	and	and	CCONJ
iogr-1185	280	35	choke	choke	VERB
iogr-1185	280	36	size	size	NOUN
iogr-1185	280	37	increase	increase	VERB
iogr-1185	280	38	rapidly	rapidly	ADV
iogr-1185	280	39	because	because	SCONJ
iogr-1185	280	40	of	of	ADP
iogr-1185	280	41	the	the	DET
iogr-1185	280	42	stress	stress	NOUN
iogr-1185	280	43	acting	act	VERB
iogr-1185	280	44	on	on	ADP
iogr-1185	280	45	the	the	DET
iogr-1185	280	46	proppant	proppant	NOUN
iogr-1185	280	47	.	.	PUNCT
iogr-1185	281	1	higher	high	ADJ
iogr-1185	281	2	proppant	proppant	NOUN
iogr-1185	281	3	density	density	NOUN
iogr-1185	281	4	allows	allow	VERB
iogr-1185	281	5	a	a	DET
iogr-1185	281	6	higher	high	ADJ
iogr-1185	281	7	critical	critical	ADJ
iogr-1185	281	8	flow	flow	NOUN
iogr-1185	281	9	rate	rate	NOUN
iogr-1185	281	10	and	and	CCONJ
iogr-1185	281	11	larger	large	ADJ
iogr-1185	281	12	choke	choke	NOUN
iogr-1185	281	13	size	size	NOUN
iogr-1185	281	14	before	before	ADP
iogr-1185	281	15	the	the	DET
iogr-1185	281	16	fracture	fracture	NOUN
iogr-1185	281	17	closure	closure	NOUN
iogr-1185	281	18	,	,	PUNCT
iogr-1185	281	19	but	but	CCONJ
iogr-1185	281	20	the	the	DET
iogr-1185	281	21	choke	choke	NOUN
iogr-1185	281	22	size	size	NOUN
iogr-1185	281	23	required	require	VERB
iogr-1185	281	24	for	for	ADP
iogr-1185	281	25	stable	stable	ADJ
iogr-1185	281	26	proppant	proppant	NOUN
iogr-1185	281	27	pack	pack	NOUN
iogr-1185	281	28	after	after	SCONJ
iogr-1185	281	29	the	the	DET
iogr-1185	281	30	fracture	fracture	NOUN
iogr-1185	281	31	closure	closure	NOUN
iogr-1185	281	32	does	do	AUX
iogr-1185	281	33	not	not	PART
iogr-1185	281	34	vary	vary	VERB
iogr-1185	281	35	.	.	PUNCT
iogr-1185	282	1	the	the	DET
iogr-1185	282	2	larger	large	ADJ
iogr-1185	282	3	particle	particle	NOUN
iogr-1185	282	4	size	size	NOUN
iogr-1185	282	5	of	of	ADP
iogr-1185	282	6	the	the	DET
iogr-1185	282	7	proppant	proppant	NOUN
iogr-1185	282	8	results	result	NOUN
iogr-1185	282	9	in	in	ADP
iogr-1185	282	10	a	a	DET
iogr-1185	282	11	higher	high	ADJ
iogr-1185	282	12	critical	critical	ADJ
iogr-1185	282	13	flow	flow	NOUN
iogr-1185	282	14	rate	rate	NOUN
iogr-1185	282	15	and	and	CCONJ
iogr-1185	282	16	larger	large	ADJ
iogr-1185	282	17	choke	choke	NOUN
iogr-1185	282	18	size	size	NOUN
iogr-1185	282	19	for	for	ADP
iogr-1185	282	20	a	a	DET
iogr-1185	282	21	safe	safe	ADJ
iogr-1185	282	22	blow	blow	NOUN
iogr-1185	282	23	-	-	PUNCT
iogr-1185	282	24	off	off	NOUN
iogr-1185	282	25	before	before	ADP
iogr-1185	282	26	fracture	fracture	NOUN
iogr-1185	282	27	closure	closure	NOUN
iogr-1185	282	28	.	.	PUNCT
iogr-1185	283	1	the	the	DET
iogr-1185	283	2	opposite	opposite	NOUN
iogr-1185	283	3	is	be	AUX
iogr-1185	283	4	the	the	DET
iogr-1185	283	5	case	case	NOUN
iogr-1185	283	6	after	after	ADP
iogr-1185	283	7	the	the	DET
iogr-1185	283	8	fracture	fracture	NOUN
iogr-1185	283	9	closure	closure	NOUN
iogr-1185	283	10	.	.	PUNCT
iogr-1185	284	1	the	the	DET
iogr-1185	284	2	higher	high	ADJ
iogr-1185	284	3	viscosity	viscosity	NOUN
iogr-1185	284	4	of	of	ADP
iogr-1185	284	5	the	the	DET
iogr-1185	284	6	fracturing	fracturing	NOUN
iogr-1185	284	7	fluid	fluid	NOUN
iogr-1185	284	8	corresponds	correspond	VERB
iogr-1185	284	9	to	to	ADP
iogr-1185	284	10	a	a	DET
iogr-1185	284	11	lower	low	ADJ
iogr-1185	284	12	critical	critical	ADJ
iogr-1185	284	13	flow	flow	NOUN
iogr-1185	284	14	rate	rate	NOUN
iogr-1185	284	15	and	and	CCONJ
iogr-1185	284	16	a	a	DET
iogr-1185	284	17	smaller	small	ADJ
iogr-1185	284	18	choke	choke	NOUN
iogr-1185	284	19	size	size	NOUN
iogr-1185	284	20	for	for	ADP
iogr-1185	284	21	safe	safe	ADJ
iogr-1185	284	22	blow	blow	NOUN
iogr-1185	284	23	-	-	PUNCT
iogr-1185	284	24	off	off	NOUN
iogr-1185	284	25	.	.	PUNCT
iogr-1185	285	1	3	3	X
iogr-1185	285	2	.	.	X
iogr-1185	285	3	the	the	DET
iogr-1185	285	4	proposed	propose	VERB
iogr-1185	285	5	model	model	NOUN
iogr-1185	285	6	for	for	ADP
iogr-1185	285	7	fracturing	fracture	VERB
iogr-1185	285	8	fluid	fluid	ADJ
iogr-1185	285	9	flowback	flowback	NOUN
iogr-1185	285	10	in	in	ADP
iogr-1185	285	11	a	a	DET
iogr-1185	285	12	shale	shale	NOUN
iogr-1185	285	13	gas	gas	NOUN
iogr-1185	285	14	well	well	ADV
iogr-1185	285	15	considers	consider	VERB
iogr-1185	285	16	the	the	DET
iogr-1185	285	17	reservoir	reservoir	NOUN
iogr-1185	285	18	,	,	PUNCT
iogr-1185	285	19	fracture	fracture	NOUN
iogr-1185	285	20	,	,	PUNCT
iogr-1185	285	21	and	and	CCONJ
iogr-1185	285	22	wellbore	wellbore	NOUN
iogr-1185	285	23	.	.	PUNCT
iogr-1185	286	1	thus	thus	ADV
iogr-1185	286	2	,	,	PUNCT
iogr-1185	286	3	the	the	DET
iogr-1185	286	4	model	model	NOUN
iogr-1185	286	5	provides	provide	VERB
iogr-1185	286	6	the	the	DET
iogr-1185	286	7	theoretical	theoretical	ADJ
iogr-1185	286	8	basis	basis	NOUN
iogr-1185	286	9	for	for	ADP
iogr-1185	286	10	the	the	DET
iogr-1185	286	11	optimization	optimization	NOUN
iogr-1185	286	12	of	of	ADP
iogr-1185	286	13	postfracture	postfracture	NOUN
iogr-1185	286	14	flowback	flowback	NOUN
iogr-1185	286	15	time	time	NOUN
iogr-1185	286	16	,	,	PUNCT
iogr-1185	286	17	fracture	fracture	NOUN
iogr-1185	286	18	closure	closure	NOUN
iogr-1185	286	19	mode	mode	NOUN
iogr-1185	286	20	,	,	PUNCT
iogr-1185	286	21	and	and	CCONJ
iogr-1185	286	22	choke	choke	VERB
iogr-1185	286	23	management	management	NOUN
iogr-1185	286	24	.	.	PUNCT
iogr-1185	287	1	on	on	ADP
iogr-1185	287	2	the	the	DET
iogr-1185	287	3	basis	basis	NOUN
iogr-1185	287	4	of	of	ADP
iogr-1185	287	5	the	the	DET
iogr-1185	287	6	model	model	NOUN
iogr-1185	287	7	,	,	PUNCT
iogr-1185	287	8	the	the	DET
iogr-1185	287	9	flowback	flowback	NOUN
iogr-1185	287	10	process	process	NOUN
iogr-1185	287	11	of	of	ADP
iogr-1185	287	12	a	a	DET
iogr-1185	287	13	horizontal	horizontal	ADJ
iogr-1185	287	14	shale	shale	NOUN
iogr-1185	287	15	gas	gas	NOUN
iogr-1185	287	16	well	well	ADV
iogr-1185	287	17	with	with	ADP
iogr-1185	287	18	multistage	multistage	NOUN
iogr-1185	287	19	fracturing	fracturing	NOUN
iogr-1185	287	20	in	in	ADP
iogr-1185	287	21	fuling	fuling	NOUN
iogr-1185	287	22	was	be	AUX
iogr-1185	287	23	optimized	optimize	VERB
iogr-1185	287	24	.	.	PUNCT
iogr-1185	288	1	according	accord	VERB
iogr-1185	288	2	to	to	ADP
iogr-1185	288	3	the	the	DET
iogr-1185	288	4	results	result	NOUN
iogr-1185	288	5	,	,	PUNCT
iogr-1185	288	6	the	the	DET
iogr-1185	288	7	choke	choke	NOUN
iogr-1185	288	8	size	size	NOUN
iogr-1185	288	9	should	should	AUX
iogr-1185	288	10	be	be	AUX
iogr-1185	288	11	increased	increase	VERB
iogr-1185	288	12	from	from	ADP
iogr-1185	288	13	2	2	NUM
iogr-1185	288	14	to	to	ADP
iogr-1185	288	15	4	4	NUM
iogr-1185	288	16	and	and	CCONJ
iogr-1185	288	17	8	8	NUM
iogr-1185	288	18	mm	mm	NOUN
iogr-1185	288	19	in	in	ADP
iogr-1185	288	20	forced	force	VERB
iogr-1185	288	21	closure	closure	NOUN
iogr-1185	288	22	mode	mode	NOUN
iogr-1185	288	23	(	(	PUNCT
iogr-1185	288	24	figure	figure	NOUN
iogr-1185	288	25	15	15	NUM
iogr-1185	288	26	)	)	PUNCT
iogr-1185	288	27	.	.	PUNCT
iogr-1185	289	1	acknowledgements	acknowledgement	NOUN
iogr-1185	289	2	we	we	PRON
iogr-1185	289	3	would	would	AUX
iogr-1185	289	4	like	like	VERB
iogr-1185	289	5	to	to	PART
iogr-1185	289	6	thank	thank	VERB
iogr-1185	289	7	the	the	DET
iogr-1185	289	8	sponsors	sponsor	NOUN
iogr-1185	289	9	of	of	ADP
iogr-1185	289	10	the	the	DET
iogr-1185	289	11	project	project	NOUN
iogr-1185	289	12	entitled	entitle	VERB
iogr-1185	289	13	“	"	PUNCT
iogr-1185	289	14	study	study	NOUN
iogr-1185	289	15	on	on	ADP
iogr-1185	289	16	fracturing	fracture	VERB
iogr-1185	289	17	fluid	fluid	ADJ
iogr-1185	289	18	flowback	flowback	NOUN
iogr-1185	289	19	model	model	NOUN
iogr-1185	289	20	and	and	CCONJ
iogr-1185	289	21	flowback	flowback	NOUN
iogr-1185	289	22	scheme	scheme	NOUN
iogr-1185	289	23	for	for	ADP
iogr-1185	289	24	shale	shale	NOUN
iogr-1185	289	25	gas	gas	NOUN
iogr-1185	289	26	well	well	ADV
iogr-1185	289	27	”	"	PUNCT
iogr-1185	289	28	(	(	PUNCT
iogr-1185	289	29	g5800	g5800	NOUN
iogr-1185	289	30	-	-	PUNCT
iogr-1185	289	31	18	18	NUM
iogr-1185	289	32	-	-	PUNCT
iogr-1185	289	33	zs	zs	PROPN
iogr-1185	289	34	-	-	PUNCT
iogr-1185	289	35	kfgy002	kfgy002	PROPN
iogr-1185	289	36	)	)	PUNCT
iogr-1185	289	37	from	from	ADP
iogr-1185	289	38	state	state	NOUN
iogr-1185	289	39	key	key	ADJ
iogr-1185	289	40	laboratory	laboratory	NOUN
iogr-1185	289	41	of	of	ADP
iogr-1185	289	42	shale	shale	NOUN
iogr-1185	289	43	oil	oil	NOUN
iogr-1185	289	44	and	and	CCONJ
iogr-1185	289	45	gas	gas	NOUN
iogr-1185	289	46	enrichment	enrichment	NOUN
iogr-1185	289	47	mechanisms	mechanism	NOUN
iogr-1185	289	48	and	and	CCONJ
iogr-1185	289	49	effective	effective	ADJ
iogr-1185	289	50	development	development	NOUN
iogr-1185	289	51	,	,	PUNCT
iogr-1185	289	52	sinopec	sinopec	PROPN
iogr-1185	289	53	group	group	PROPN
iogr-1185	289	54	,	,	PUNCT
iogr-1185	289	55	for	for	ADP
iogr-1185	289	56	financial	financial	ADJ
iogr-1185	289	57	support	support	NOUN
iogr-1185	289	58	.	.	PUNCT
iogr-1185	290	1	we	we	PRON
iogr-1185	290	2	also	also	ADV
iogr-1185	290	3	would	would	AUX
iogr-1185	290	4	like	like	VERB
iogr-1185	290	5	to	to	PART
iogr-1185	290	6	thank	thank	VERB
iogr-1185	290	7	prof	prof	PROPN
iogr-1185	290	8	.	.	PUNCT
iogr-1185	291	1	zhenzhen	zhenzhen	PROPN
iogr-1185	291	2	dong	dong	PROPN
iogr-1185	291	3	from	from	ADP
iogr-1185	291	4	xi’an	xi’an	PROPN
iogr-1185	291	5	shiyou	shiyou	PROPN
iogr-1185	291	6	university	university	PROPN
iogr-1185	291	7	and	and	CCONJ
iogr-1185	291	8	dr	dr	PROPN
iogr-1185	291	9	.	.	PROPN
iogr-1185	291	10	xiang	xiang	PROPN
iogr-1185	291	11	li	li	PROPN
iogr-1185	291	12	from	from	ADP
iogr-1185	291	13	ennosoft	ennosoft	PROPN
iogr-1185	291	14	ltd	ltd	PROPN
iogr-1185	291	15	.	.	PROPN
iogr-1185	291	16	for	for	ADP
iogr-1185	291	17	technical	technical	ADJ
iogr-1185	291	18	support	support	NOUN
iogr-1185	291	19	.	.	PUNCT
iogr-1185	292	1	conflicts	conflict	NOUN
iogr-1185	292	2	of	of	ADP
iogr-1185	292	3	interest	interest	NOUN
iogr-1185	292	4	the	the	DET
iogr-1185	292	5	author(s	author(s	NOUN
iogr-1185	292	6	)	)	PUNCT
iogr-1185	292	7	declare	declare	VERB
iogr-1185	292	8	that	that	SCONJ
iogr-1185	292	9	they	they	PRON
iogr-1185	292	10	have	have	VERB
iogr-1185	292	11	no	no	DET
iogr-1185	292	12	conflicting	conflict	VERB
iogr-1185	292	13	interests	interest	NOUN
iogr-1185	292	14	.	.	PUNCT
iogr-1185	293	1	reference	reference	PROPN
iogr-1185	293	2	andrew	andrew	PROPN
iogr-1185	293	3	,	,	PUNCT
iogr-1185	293	4	j.s	j.s	PROPN
iogr-1185	293	5	.	.	PROPN
iogr-1185	293	6	and	and	CCONJ
iogr-1185	293	7	kjorholt	kjorholt	PROPN
iogr-1185	293	8	,	,	PUNCT
iogr-1185	293	9	h.	h.	PROPN
iogr-1185	293	10	1998	1998	NUM
iogr-1185	293	11	.	.	PUNCT
iogr-1185	294	1	rock	rock	NOUN
iogr-1185	294	2	mechanical	mechanical	ADJ
iogr-1185	294	3	principles	principle	NOUN
iogr-1185	294	4	help	help	VERB
iogr-1185	294	5	to	to	PART
iogr-1185	294	6	predict	predict	VERB
iogr-1185	294	7	proppant	proppant	NOUN
iogr-1185	294	8	flowback	flowback	NOUN
iogr-1185	294	9	from	from	ADP
iogr-1185	294	10	hydraulic	hydraulic	ADJ
iogr-1185	294	11	fractures	fracture	NOUN
iogr-1185	294	12	.	.	PUNCT
iogr-1185	295	1	paper	paper	NOUN
iogr-1185	295	2	presented	present	VERB
iogr-1185	295	3	at	at	ADP
iogr-1185	295	4	spe	spe	PROPN
iogr-1185	295	5	/	/	SYM
iogr-1185	295	6	isrm	isrm	PROPN
iogr-1185	295	7	rock	rock	NOUN
iogr-1185	295	8	mechanics	mechanic	NOUN
iogr-1185	295	9	in	in	ADP
iogr-1185	295	10	petroleum	petroleum	NOUN
iogr-1185	295	11	engineering	engineering	NOUN
iogr-1185	295	12	,	,	PUNCT
iogr-1185	295	13	trondheim	trondheim	PROPN
iogr-1185	295	14	,	,	PUNCT
iogr-1185	295	15	norway	norway	PROPN
iogr-1185	295	16	,	,	PUNCT
iogr-1185	295	17	8	8	NUM
iogr-1185	295	18	-	-	SYM
iogr-1185	295	19	10	10	NUM
iogr-1185	295	20	july	july	NOUN
iogr-1185	295	21	.	.	PUNCT
iogr-1185	296	1	spe-47382	spe-47382	PROPN
iogr-1185	296	2	-	-	PUNCT
iogr-1185	296	3	ms	ms	PROPN
iogr-1185	296	4	.	.	PROPN
iogr-1185	296	5	asgian	asgian	PROPN
iogr-1185	296	6	,	,	PUNCT
iogr-1185	296	7	m.i	m.i	PROPN
iogr-1185	296	8	.	.	PROPN
iogr-1185	296	9	,	,	PUNCT
iogr-1185	296	10	cundall	cundall	PROPN
iogr-1185	296	11	,	,	PUNCT
iogr-1185	296	12	p.	p.	NOUN
iogr-1185	296	13	a.	a.	NOUN
iogr-1185	296	14	,	,	PUNCT
iogr-1185	296	15	and	and	CCONJ
iogr-1185	296	16	brady	brady	PROPN
iogr-1185	296	17	,	,	PUNCT
iogr-1185	296	18	b.h.g	b.h.g	PROPN
iogr-1185	296	19	.	.	PUNCT
iogr-1185	297	1	1995	1995	NUM
iogr-1185	297	2	.	.	PUNCT
iogr-1185	298	1	the	the	DET
iogr-1185	298	2	mechanical	mechanical	ADJ
iogr-1185	298	3	stability	stability	NOUN
iogr-1185	298	4	of	of	ADP
iogr-1185	298	5	propped	prop	VERB
iogr-1185	298	6	hydraulic	hydraulic	ADJ
iogr-1185	298	7	fractures	fracture	NOUN
iogr-1185	298	8	:	:	PUNCT
iogr-1185	298	9	a	a	DET
iogr-1185	298	10	numerical	numerical	ADJ
iogr-1185	298	11	study	study	NOUN
iogr-1185	298	12	.	.	PUNCT
iogr-1185	299	1	journal	journal	PROPN
iogr-1185	299	2	of	of	ADP
iogr-1185	299	3	petroleum	petroleum	NOUN
iogr-1185	299	4	technology	technology	NOUN
iogr-1185	299	5	4(3):75	4(3):75	PROPN
iogr-1185	299	6	-	-	SYM
iogr-1185	299	7	78	78	NUM
iogr-1185	299	8	.	.	PUNCT
iogr-1185	300	1	spe-28510	spe-28510	PROPN
iogr-1185	300	2	-	-	PUNCT
iogr-1185	300	3	pa	pa	PROPN
iogr-1185	300	4	.	.	PROPN
iogr-1185	300	5	asadollahi	asadollahi	PROPN
iogr-1185	300	6	,	,	PUNCT
iogr-1185	300	7	p.	p.	NOUN
iogr-1185	300	8	and	and	CCONJ
iogr-1185	300	9	tonon	tonon	PROPN
iogr-1185	300	10	,	,	PUNCT
iogr-1185	300	11	f.	f.	PROPN
iogr-1185	300	12	2010	2010	NUM
iogr-1185	300	13	.	.	PUNCT
iogr-1185	301	1	constitutive	constitutive	ADJ
iogr-1185	301	2	model	model	NOUN
iogr-1185	301	3	for	for	ADP
iogr-1185	301	4	rock	rock	NOUN
iogr-1185	301	5	fractures	fracture	NOUN
iogr-1185	301	6	:	:	PUNCT
iogr-1185	301	7	revisiting	revisit	VERB
iogr-1185	301	8	barton	barton	PROPN
iogr-1185	301	9	's	's	PART
iogr-1185	301	10	empirical	empirical	ADJ
iogr-1185	301	11	model	model	NOUN
iogr-1185	301	12	.	.	PUNCT
iogr-1185	302	1	engineering	engineer	VERB
iogr-1185	302	2	geology	geology	NOUN
iogr-1185	302	3	113(4):11	113(4):11	PROPN
iogr-1185	302	4	-	-	SYM
iogr-1185	302	5	32	32	NUM
iogr-1185	302	6	.	.	PUNCT
iogr-1185	303	1	barton	barton	PROPN
iogr-1185	303	2	,	,	PUNCT
iogr-1185	303	3	n.	n.	NOUN
iogr-1185	303	4	,	,	PUNCT
iogr-1185	303	5	bandis	bandi	NOUN
iogr-1185	303	6	,	,	PUNCT
iogr-1185	303	7	s.	s.	PROPN
iogr-1185	303	8	,	,	PUNCT
iogr-1185	303	9	and	and	CCONJ
iogr-1185	303	10	bakhtar	bakhtar	PROPN
iogr-1185	303	11	,	,	PUNCT
iogr-1185	303	12	k.	k.	PROPN
iogr-1185	303	13	1985	1985	NUM
iogr-1185	303	14	.	.	PUNCT
iogr-1185	304	1	strength	strength	NOUN
iogr-1185	304	2	,	,	PUNCT
iogr-1185	304	3	deformation	deformation	NOUN
iogr-1185	304	4	and	and	CCONJ
iogr-1185	304	5	conductivity	conductivity	NOUN
iogr-1185	304	6	coupling	coupling	NOUN
iogr-1185	304	7	of	of	ADP
iogr-1185	304	8	rock	rock	NOUN
iogr-1185	304	9	joints	joint	NOUN
iogr-1185	304	10	.	.	PUNCT
iogr-1185	305	1	international	international	ADJ
iogr-1185	305	2	journal	journal	PROPN
iogr-1185	305	3	of	of	ADP
iogr-1185	305	4	rock	rock	NOUN
iogr-1185	305	5	mechanics	mechanic	NOUN
iogr-1185	305	6	and	and	CCONJ
iogr-1185	305	7	mining	mining	NOUN
iogr-1185	305	8	sciences	sciences	PROPN
iogr-1185	305	9	&	&	CCONJ
iogr-1185	305	10	geomechanics	geomechanics	PROPN
iogr-1185	305	11	abstracts	abstract	VERB
iogr-1185	305	12	22(3):121	22(3):121	NUM
iogr-1185	305	13	-	-	SYM
iogr-1185	305	14	140	140	NUM
iogr-1185	305	15	.	.	PUNCT
iogr-1185	306	1	barree	barree	NOUN
iogr-1185	306	2	,	,	PUNCT
iogr-1185	306	3	r.d	r.d	PROPN
iogr-1185	306	4	.	.	PROPN
iogr-1185	306	5	and	and	CCONJ
iogr-1185	306	6	mukherjee	mukherjee	PROPN
iogr-1185	306	7	,	,	PUNCT
iogr-1185	306	8	h.	h.	PROPN
iogr-1185	306	9	1995	1995	NUM
iogr-1185	306	10	.	.	PUNCT
iogr-1185	307	1	engineering	engineering	NOUN
iogr-1185	307	2	criteria	criterion	NOUN
iogr-1185	307	3	for	for	ADP
iogr-1185	307	4	fracture	fracture	NOUN
iogr-1185	307	5	flowback	flowback	NOUN
iogr-1185	307	6	procedures	procedure	NOUN
iogr-1185	307	7	.	.	PUNCT
iogr-1185	308	1	paper	paper	NOUN
iogr-1185	308	2	presented	present	VERB
iogr-1185	308	3	at	at	ADP
iogr-1185	308	4	low	low	ADJ
iogr-1185	308	5	permeability	permeability	NOUN
iogr-1185	308	6	reservoirs	reservoir	NOUN
iogr-1185	308	7	symposium	symposium	NOUN
iogr-1185	308	8	,	,	PUNCT
iogr-1185	308	9	denver	denver	PROPN
iogr-1185	308	10	,	,	PUNCT
iogr-1185	308	11	colorado	colorado	PROPN
iogr-1185	308	12	.	.	PUNCT
iogr-1185	309	1	19	19	NUM
iogr-1185	309	2	-	-	SYM
iogr-1185	309	3	22	22	NUM
iogr-1185	309	4	march	march	NOUN
iogr-1185	309	5	.	.	PUNCT
iogr-1185	310	1	spe-29600	spe-29600	PROPN
iogr-1185	310	2	-	-	PUNCT
iogr-1185	310	3	ms	ms	PROPN
iogr-1185	310	4	.	.	PROPN
iogr-1185	310	5	biezen	biezen	PROPN
iogr-1185	310	6	,	,	PUNCT
iogr-1185	310	7	e.n	e.n	PROPN
iogr-1185	310	8	.	.	PROPN
iogr-1185	310	9	,	,	PUNCT
iogr-1185	310	10	bruining	bruining	NOUN
iogr-1185	310	11	,	,	PUNCT
iogr-1185	310	12	j.	j.	PROPN
iogr-1185	310	13	,	,	PUNCT
iogr-1185	310	14	and	and	CCONJ
iogr-1185	310	15	molenarr	molenarr	PROPN
iogr-1185	310	16	,	,	PUNCT
iogr-1185	310	17	j.	j.	PROPN
iogr-1185	310	18	1994	1994	NUM
iogr-1185	310	19	.	.	PUNCT
iogr-1185	311	1	an	an	DET
iogr-1185	311	2	integrated	integrated	ADJ
iogr-1185	311	3	model	model	NOUN
iogr-1185	311	4	for	for	ADP
iogr-1185	311	5	underground	underground	ADJ
iogr-1185	311	6	coal	coal	NOUN
iogr-1185	311	7	gasification	gasification	NOUN
iogr-1185	311	8	.	.	PUNCT
iogr-1185	312	1	paper	paper	NOUN
iogr-1185	312	2	presented	present	VERB
iogr-1185	312	3	at	at	ADP
iogr-1185	312	4	the	the	DET
iogr-1185	312	5	spe	spe	PROPN
iogr-1185	312	6	annular	annular	PROPN
iogr-1185	312	7	conference	conference	NOUN
iogr-1185	312	8	and	and	CCONJ
iogr-1185	312	9	exhibition	exhibition	NOUN
iogr-1185	312	10	.	.	PUNCT
iogr-1185	313	1	new	new	PROPN
iogr-1185	313	2	orleans	orleans	PROPN
iogr-1185	313	3	,	,	PUNCT
iogr-1185	313	4	25	25	NUM
iogr-1185	313	5	-	-	SYM
iogr-1185	313	6	28	28	NUM
iogr-1185	313	7	september	september	PROPN
iogr-1185	313	8	.	.	PUNCT
iogr-1185	314	1	spe-28583	spe-28583	PROPN
iogr-1185	314	2	-	-	PUNCT
iogr-1185	314	3	ms	ms	PROPN
iogr-1185	314	4	.	.	PROPN
iogr-1185	314	5	bratli	bratli	PROPN
iogr-1185	314	6	,	,	PUNCT
iogr-1185	314	7	r.k	r.k	PROPN
iogr-1185	314	8	.	.	PROPN
iogr-1185	314	9	and	and	CCONJ
iogr-1185	314	10	risnes	risne	NOUN
iogr-1185	314	11	,	,	PUNCT
iogr-1185	314	12	r.	r.	PROPN
iogr-1185	314	13	1981	1981	NUM
iogr-1185	314	14	.	.	PUNCT
iogr-1185	315	1	stability	stability	NOUN
iogr-1185	315	2	and	and	CCONJ
iogr-1185	315	3	failure	failure	NOUN
iogr-1185	315	4	of	of	ADP
iogr-1185	315	5	sand	sand	NOUN
iogr-1185	315	6	arches	arch	NOUN
iogr-1185	315	7	.	.	PUNCT
iogr-1185	316	1	society	society	NOUN
iogr-1185	316	2	of	of	ADP
iogr-1185	316	3	petroleum	petroleum	NOUN
iogr-1185	316	4	engineers	engineer	NOUN
iogr-1185	316	5	journal	journal	PROPN
iogr-1185	316	6	21(2	21(2	NUM
iogr-1185	316	7	):	):	PUNCT
iogr-1185	316	8	65	65	NUM
iogr-1185	316	9	-	-	SYM
iogr-1185	316	10	72	72	NUM
iogr-1185	316	11	.	.	PUNCT
iogr-1185	316	12	spe-8427	spe-8427	NOUN
iogr-1185	316	13	-	-	PUNCT
iogr-1185	316	14	pa	pa	PROPN
iogr-1185	316	15	.	.	PROPN
iogr-1185	316	16	20	20	NUM
iogr-1185	316	17	boronin	boronin	NOUN
iogr-1185	316	18	,	,	PUNCT
iogr-1185	316	19	s.a	s.a	PROPN
iogr-1185	316	20	.	.	PROPN
iogr-1185	316	21	and	and	CCONJ
iogr-1185	316	22	osiptsov	osiptsov	PROPN
iogr-1185	316	23	,	,	PUNCT
iogr-1185	316	24	a.a	a.a	PROPN
iogr-1185	316	25	.	.	PROPN
iogr-1185	316	26	2014	2014	NUM
iogr-1185	316	27	.	.	PUNCT
iogr-1185	317	1	effects	effect	NOUN
iogr-1185	317	2	of	of	ADP
iogr-1185	317	3	particle	particle	NOUN
iogr-1185	317	4	migration	migration	NOUN
iogr-1185	317	5	on	on	ADP
iogr-1185	317	6	suspension	suspension	NOUN
iogr-1185	317	7	flow	flow	NOUN
iogr-1185	317	8	in	in	ADP
iogr-1185	317	9	a	a	DET
iogr-1185	317	10	hydraulic	hydraulic	ADJ
iogr-1185	317	11	fracture	fracture	NOUN
iogr-1185	317	12	.	.	PUNCT
iogr-1185	318	1	fluid	fluid	ADJ
iogr-1185	318	2	dynamics	dynamic	NOUN
iogr-1185	318	3	49(2	49(2	NOUN
iogr-1185	318	4	):	):	PUNCT
iogr-1185	318	5	208	208	NUM
iogr-1185	318	6	-	-	SYM
iogr-1185	318	7	221	221	NUM
iogr-1185	318	8	.	.	PUNCT
iogr-1185	319	1	biot	biot	PROPN
iogr-1185	319	2	,	,	PUNCT
iogr-1185	319	3	m.a	m.a	PROPN
iogr-1185	319	4	.	.	PROPN
iogr-1185	319	5	1941	1941	NUM
iogr-1185	319	6	.	.	PUNCT
iogr-1185	320	1	general	general	ADJ
iogr-1185	320	2	theory	theory	NOUN
iogr-1185	320	3	of	of	ADP
iogr-1185	320	4	thress	thress	NOUN
iogr-1185	320	5	dimensional	dimensional	ADJ
iogr-1185	320	6	consolidation	consolidation	NOUN
iogr-1185	320	7	.	.	PUNCT
iogr-1185	321	1	j	j	PROPN
iogr-1185	321	2	appl	appl	PROPN
iogr-1185	321	3	.	.	PUNCT
iogr-1185	322	1	phys	phy	NOUN
iogr-1185	322	2	.	.	PUNCT
iogr-1185	323	1	8	8	NUM
iogr-1185	323	2	:	:	SYM
iogr-1185	323	3	155	155	NUM
iogr-1185	323	4	-	-	SYM
iogr-1185	323	5	164	164	NUM
iogr-1185	323	6	.	.	PUNCT
iogr-1185	324	1	biot	biot	PROPN
iogr-1185	324	2	,	,	PUNCT
iogr-1185	324	3	m.	m.	NOUN
iogr-1185	324	4	a.	a.	NOUN
iogr-1185	324	5	1956	1956	NUM
iogr-1185	324	6	.	.	PUNCT
iogr-1185	325	1	general	general	ADJ
iogr-1185	325	2	solution	solution	NOUN
iogr-1185	325	3	of	of	ADP
iogr-1185	325	4	the	the	DET
iogr-1185	325	5	equation	equation	NOUN
iogr-1185	325	6	of	of	ADP
iogr-1185	325	7	elasticity	elasticity	NOUN
iogr-1185	325	8	and	and	CCONJ
iogr-1185	325	9	consolidation	consolidation	NOUN
iogr-1185	325	10	for	for	ADP
iogr-1185	325	11	a	a	DET
iogr-1185	325	12	porous	porous	ADJ
iogr-1185	325	13	material	material	NOUN
iogr-1185	325	14	.	.	PUNCT
iogr-1185	326	1	j.	j.	PROPN
iogr-1185	326	2	appl	appl	PROPN
iogr-1185	326	3	.	.	PROPN
iogr-1185	326	4	mech	mech	PROPN
iogr-1185	326	5	.	.	PUNCT
iogr-1185	327	1	78:91	78:91	NUM
iogr-1185	327	2	-	-	SYM
iogr-1185	327	3	96	96	NUM
iogr-1185	327	4	.	.	PUNCT
iogr-1185	328	1	blyton	blyton	PROPN
iogr-1185	328	2	,	,	PUNCT
iogr-1185	328	3	c.a	c.a	PROPN
iogr-1185	328	4	.	.	PROPN
iogr-1185	328	5	,	,	PUNCT
iogr-1185	328	6	gala	gala	NOUN
iogr-1185	328	7	,	,	PUNCT
iogr-1185	328	8	d.p	d.p	PROPN
iogr-1185	328	9	.	.	PROPN
iogr-1185	328	10	,	,	PUNCT
iogr-1185	328	11	and	and	CCONJ
iogr-1185	328	12	sharma	sharma	PROPN
iogr-1185	328	13	,	,	PUNCT
iogr-1185	328	14	m.m	m.m	PROPN
iogr-1185	328	15	.	.	PROPN
iogr-1185	328	16	2015	2015	NUM
iogr-1185	328	17	.	.	PUNCT
iogr-1185	329	1	a	a	DET
iogr-1185	329	2	comprehensive	comprehensive	ADJ
iogr-1185	329	3	study	study	NOUN
iogr-1185	329	4	of	of	ADP
iogr-1185	329	5	proppant	proppant	NOUN
iogr-1185	329	6	transport	transport	NOUN
iogr-1185	329	7	in	in	ADP
iogr-1185	329	8	a	a	DET
iogr-1185	329	9	hydraulic	hydraulic	ADJ
iogr-1185	329	10	fracture	fracture	NOUN
iogr-1185	329	11	.	.	PUNCT
iogr-1185	330	1	papre	papre	PROPN
iogr-1185	330	2	presented	present	VERB
iogr-1185	330	3	at	at	ADP
iogr-1185	330	4	the	the	DET
iogr-1185	330	5	spe	spe	PROPN
iogr-1185	330	6	annual	annual	ADJ
iogr-1185	330	7	technical	technical	ADJ
iogr-1185	330	8	conference	conference	NOUN
iogr-1185	330	9	and	and	CCONJ
iogr-1185	330	10	exhibition	exhibition	NOUN
iogr-1185	330	11	.	.	PUNCT
iogr-1185	331	1	houston	houston	PROPN
iogr-1185	331	2	,	,	PUNCT
iogr-1185	331	3	texas	texas	PROPN
iogr-1185	331	4	,	,	PUNCT
iogr-1185	331	5	usa	usa	PROPN
iogr-1185	331	6	,	,	PUNCT
iogr-1185	331	7	28	28	NUM
iogr-1185	331	8	-	-	SYM
iogr-1185	331	9	30	30	NUM
iogr-1185	331	10	september	september	PROPN
iogr-1185	331	11	.	.	PUNCT
iogr-1185	332	1	spe-174973	spe-174973	PROPN
iogr-1185	332	2	-	-	PUNCT
iogr-1185	332	3	ms	ms	PROPN
iogr-1185	332	4	.	.	PROPN
iogr-1185	332	5	cook	cook	PROPN
iogr-1185	332	6	,	,	PUNCT
iogr-1185	332	7	r.d	r.d	PROPN
iogr-1185	332	8	.	.	PROPN
iogr-1185	332	9	,	,	PUNCT
iogr-1185	332	10	malkus	malkus	PROPN
iogr-1185	332	11	,	,	PUNCT
iogr-1185	332	12	d.s	d.s	PROPN
iogr-1185	332	13	.	.	PROPN
iogr-1185	332	14	,	,	PUNCT
iogr-1185	332	15	plesha	plesha	PROPN
iogr-1185	332	16	,	,	PUNCT
iogr-1185	332	17	m.e	m.e	PROPN
iogr-1185	332	18	.	.	PROPN
iogr-1185	332	19	,	,	PUNCT
iogr-1185	332	20	et	et	PROPN
iogr-1185	332	21	.	.	PUNCT
iogr-1185	333	1	al	al	PROPN
iogr-1185	333	2	.	.	PROPN
iogr-1185	333	3	1974	1974	NUM
iogr-1185	333	4	.	.	PUNCT
iogr-1185	334	1	concepts	concept	NOUN
iogr-1185	334	2	and	and	CCONJ
iogr-1185	334	3	applications	application	NOUN
iogr-1185	334	4	of	of	ADP
iogr-1185	334	5	finite	finite	ADJ
iogr-1185	334	6	element	element	NOUN
iogr-1185	334	7	analysis	analysis	NOUN
iogr-1185	334	8	(	(	PUNCT
iogr-1185	334	9	2nd	2nd	ADJ
iogr-1185	334	10	ed	ed	NOUN
iogr-1185	334	11	.	.	PUNCT
iogr-1185	334	12	)	)	PUNCT
iogr-1185	334	13	.	.	PUNCT
iogr-1185	335	1	new	new	PROPN
iogr-1185	335	2	york	york	PROPN
iogr-1185	335	3	:	:	PUNCT
iogr-1185	335	4	wiley	wiley	PROPN
iogr-1185	335	5	.	.	PUNCT
iogr-1185	336	1	canon	canon	NOUN
iogr-1185	336	2	,	,	PUNCT
iogr-1185	336	3	j.m	j.m	PROPN
iogr-1185	336	4	.	.	PROPN
iogr-1185	336	5	,	,	PUNCT
iogr-1185	336	6	romero	romero	PROPN
iogr-1185	336	7	,	,	PUNCT
iogr-1185	336	8	d.j	d.j	PROPN
iogr-1185	336	9	.	.	PROPN
iogr-1185	336	10	,	,	PUNCT
iogr-1185	336	11	pham	pham	PROPN
iogr-1185	336	12	,	,	PUNCT
iogr-1185	336	13	t.t	t.t	PROPN
iogr-1185	336	14	.	.	PROPN
iogr-1185	336	15	,	,	PUNCT
iogr-1185	336	16	et	et	PROPN
iogr-1185	336	17	.	.	PUNCT
iogr-1185	337	1	al	al	PROPN
iogr-1185	337	2	.	.	PROPN
iogr-1185	337	3	2003	2003	NUM
iogr-1185	337	4	.	.	PUNCT
iogr-1185	338	1	avoiding	avoid	VERB
iogr-1185	338	2	proppant	proppant	NOUN
iogr-1185	338	3	flowback	flowback	NOUN
iogr-1185	338	4	in	in	ADP
iogr-1185	338	5	tight	tight	ADJ
iogr-1185	338	6	-	-	PUNCT
iogr-1185	338	7	gas	gas	NOUN
iogr-1185	338	8	completions	completion	NOUN
iogr-1185	338	9	with	with	ADP
iogr-1185	338	10	improved	improved	ADJ
iogr-1185	338	11	fracture	fracture	NOUN
iogr-1185	338	12	design	design	NOUN
iogr-1185	338	13	.	.	PUNCT
iogr-1185	339	1	paper	paper	NOUN
iogr-1185	339	2	presented	present	VERB
iogr-1185	339	3	at	at	ADP
iogr-1185	339	4	spe	spe	PROPN
iogr-1185	339	5	annual	annual	ADJ
iogr-1185	339	6	technical	technical	ADJ
iogr-1185	339	7	conference	conference	NOUN
iogr-1185	339	8	and	and	CCONJ
iogr-1185	339	9	exhibition	exhibition	NOUN
iogr-1185	339	10	,	,	PUNCT
iogr-1185	339	11	denver	denver	PROPN
iogr-1185	339	12	,	,	PUNCT
iogr-1185	339	13	colorado	colorado	PROPN
iogr-1185	339	14	,	,	PUNCT
iogr-1185	339	15	5	5	NUM
iogr-1185	339	16	-	-	SYM
iogr-1185	339	17	8	8	NUM
iogr-1185	339	18	october	october	PROPN
iogr-1185	339	19	.	.	PUNCT
iogr-1185	340	1	spe-84310	spe-84310	PROPN
iogr-1185	340	2	-	-	PUNCT
iogr-1185	340	3	ms	ms	PROPN
iogr-1185	340	4	.	.	PROPN
iogr-1185	340	5	crafton	crafton	PROPN
iogr-1185	340	6	,	,	PUNCT
iogr-1185	340	7	j.w	j.w	PROPN
iogr-1185	340	8	.	.	PROPN
iogr-1185	340	9	2010	2010	NUM
iogr-1185	340	10	.	.	PUNCT
iogr-1185	341	1	flowback	flowback	NOUN
iogr-1185	341	2	performance	performance	NOUN
iogr-1185	341	3	in	in	ADP
iogr-1185	341	4	intensely	intensely	ADV
iogr-1185	341	5	naturally	naturally	ADV
iogr-1185	341	6	fractured	fracture	VERB
iogr-1185	341	7	shale	shale	NOUN
iogr-1185	341	8	gas	gas	NOUN
iogr-1185	341	9	reservoirs	reservoir	NOUN
iogr-1185	341	10	.	.	PUNCT
iogr-1185	342	1	paper	paper	NOUN
iogr-1185	342	2	presented	present	VERB
iogr-1185	342	3	at	at	ADP
iogr-1185	342	4	spe	spe	PROPN
iogr-1185	342	5	unconventional	unconventional	ADJ
iogr-1185	342	6	gas	gas	NOUN
iogr-1185	342	7	conference	conference	NOUN
iogr-1185	342	8	,	,	PUNCT
iogr-1185	342	9	pittsburgh	pittsburgh	PROPN
iogr-1185	342	10	,	,	PUNCT
iogr-1185	342	11	usa	usa	PROPN
iogr-1185	342	12	,	,	PUNCT
iogr-1185	342	13	23	23	NUM
iogr-1185	342	14	-	-	SYM
iogr-1185	342	15	25	25	NUM
iogr-1185	342	16	february	february	PROPN
iogr-1185	342	17	.	.	PUNCT
iogr-1185	343	1	spe-131785	spe-131785	PROPN
iogr-1185	343	2	-	-	PUNCT
iogr-1185	343	3	ms	ms	PROPN
iogr-1185	343	4	.	.	PROPN
iogr-1185	343	5	ely	ely	PROPN
iogr-1185	343	6	,	,	PUNCT
iogr-1185	343	7	j.w	j.w	PROPN
iogr-1185	343	8	.	.	PROPN
iogr-1185	343	9	,	,	PUNCT
iogr-1185	343	10	arnold	arnold	PROPN
iogr-1185	343	11	,	,	PUNCT
iogr-1185	343	12	w.t	w.t	PROPN
iogr-1185	343	13	.	.	PROPN
iogr-1185	343	14	,	,	PUNCT
iogr-1185	343	15	and	and	CCONJ
iogr-1185	343	16	holditch	holditch	NOUN
iogr-1185	343	17	,	,	PUNCT
iogr-1185	343	18	s.a	s.a	PROPN
iogr-1185	343	19	.	.	PROPN
iogr-1185	343	20	1990	1990	NUM
iogr-1185	343	21	.	.	PUNCT
iogr-1185	344	1	new	new	ADJ
iogr-1185	344	2	techniques	technique	NOUN
iogr-1185	344	3	and	and	CCONJ
iogr-1185	344	4	quality	quality	NOUN
iogr-1185	344	5	control	control	NOUN
iogr-1185	344	6	find	find	VERB
iogr-1185	344	7	success	success	NOUN
iogr-1185	344	8	in	in	ADP
iogr-1185	344	9	enhancing	enhance	VERB
iogr-1185	344	10	productivity	productivity	NOUN
iogr-1185	344	11	and	and	CCONJ
iogr-1185	344	12	minimizing	minimize	VERB
iogr-1185	344	13	proppant	proppant	NOUN
iogr-1185	344	14	flowback	flowback	NOUN
iogr-1185	344	15	.	.	PUNCT
iogr-1185	345	1	paper	paper	NOUN
iogr-1185	345	2	presented	present	VERB
iogr-1185	345	3	at	at	ADP
iogr-1185	345	4	spe	spe	PROPN
iogr-1185	345	5	annual	annual	ADJ
iogr-1185	345	6	technical	technical	ADJ
iogr-1185	345	7	conference	conference	NOUN
iogr-1185	345	8	and	and	CCONJ
iogr-1185	345	9	exhibition	exhibition	NOUN
iogr-1185	345	10	,	,	PUNCT
iogr-1185	345	11	new	new	PROPN
iogr-1185	345	12	orleans	orleans	PROPN
iogr-1185	345	13	,	,	PUNCT
iogr-1185	345	14	louisiana	louisiana	PROPN
iogr-1185	345	15	,	,	PUNCT
iogr-1185	345	16	23	23	NUM
iogr-1185	345	17	-	-	SYM
iogr-1185	345	18	26	26	NUM
iogr-1185	345	19	september	september	PROPN
iogr-1185	345	20	.	.	PUNCT
iogr-1185	346	1	spe-20708	spe-20708	PROPN
iogr-1185	346	2	-	-	PUNCT
iogr-1185	346	3	ms	ms	PROPN
iogr-1185	346	4	.	.	PROPN
iogr-1185	346	5	gidley	gidley	PROPN
iogr-1185	346	6	,	,	PUNCT
iogr-1185	346	7	j.l	j.l	PROPN
iogr-1185	346	8	.	.	PROPN
iogr-1185	346	9	,	,	PUNCT
iogr-1185	346	10	penny	penny	PROPN
iogr-1185	346	11	,	,	PUNCT
iogr-1185	346	12	g.s	g.s	PROPN
iogr-1185	346	13	.	.	PROPN
iogr-1185	346	14	,	,	PUNCT
iogr-1185	346	15	and	and	CCONJ
iogr-1185	346	16	mcdaniel	mcdaniel	PROPN
iogr-1185	346	17	,	,	PUNCT
iogr-1185	346	18	r.r	r.r	PROPN
iogr-1185	346	19	.	.	PROPN
iogr-1185	346	20	1995	1995	NUM
iogr-1185	346	21	.	.	PUNCT
iogr-1185	347	1	effect	effect	NOUN
iogr-1185	347	2	of	of	ADP
iogr-1185	347	3	proppant	proppant	ADJ
iogr-1185	347	4	failure	failure	NOUN
iogr-1185	347	5	and	and	CCONJ
iogr-1185	347	6	fines	fine	NOUN
iogr-1185	347	7	migration	migration	NOUN
iogr-1185	347	8	on	on	ADP
iogr-1185	347	9	conductivity	conductivity	NOUN
iogr-1185	347	10	of	of	ADP
iogr-1185	347	11	propped	prop	VERB
iogr-1185	347	12	fractures	fracture	NOUN
iogr-1185	347	13	.	.	PUNCT
iogr-1185	348	1	spe	spe	PROPN
iogr-1185	348	2	production	production	PROPN
iogr-1185	348	3	&	&	CCONJ
iogr-1185	348	4	facilities	facility	NOUN
iogr-1185	348	5	10(1	10(1	NUM
iogr-1185	348	6	):	):	PUNCT
iogr-1185	348	7	74	74	NUM
iogr-1185	348	8	-	-	SYM
iogr-1185	348	9	78	78	NUM
iogr-1185	348	10	.	.	PUNCT
iogr-1185	349	1	spe-24008	spe-24008	PROPN
iogr-1185	349	2	-	-	PUNCT
iogr-1185	349	3	pa	pa	PROPN
iogr-1185	349	4	.	.	PROPN
iogr-1185	349	5	parker	parker	PROPN
iogr-1185	349	6	,	,	PUNCT
iogr-1185	349	7	m.	m.	NOUN
iogr-1185	349	8	,	,	PUNCT
iogr-1185	349	9	weaver	weaver	PROPN
iogr-1185	349	10	,	,	PUNCT
iogr-1185	349	11	j.	j.	PROPN
iogr-1185	349	12	,	,	PUNCT
iogr-1185	349	13	and	and	CCONJ
iogr-1185	349	14	van	van	PROPN
iogr-1185	349	15	batenburg	batenburg	PROPN
iogr-1185	349	16	,	,	PUNCT
iogr-1185	349	17	d.	d.	PROPN
iogr-1185	349	18	1999	1999	NUM
iogr-1185	349	19	.	.	PUNCT
iogr-1185	350	1	understanding	understand	VERB
iogr-1185	350	2	proppant	proppant	NOUN
iogr-1185	350	3	flowback	flowback	NOUN
iogr-1185	350	4	.	.	PUNCT
iogr-1185	351	1	paper	paper	NOUN
iogr-1185	351	2	presented	present	VERB
iogr-1185	351	3	at	at	ADP
iogr-1185	351	4	spe	spe	PROPN
iogr-1185	351	5	annual	annual	ADJ
iogr-1185	351	6	technical	technical	ADJ
iogr-1185	351	7	conference	conference	NOUN
iogr-1185	351	8	and	and	CCONJ
iogr-1185	351	9	exhibition	exhibition	NOUN
iogr-1185	351	10	,	,	PUNCT
iogr-1185	351	11	houston	houston	PROPN
iogr-1185	351	12	,	,	PUNCT
iogr-1185	351	13	texas	texas	PROPN
iogr-1185	351	14	,	,	PUNCT
iogr-1185	351	15	3	3	NUM
iogr-1185	351	16	-	-	SYM
iogr-1185	351	17	6	6	NUM
iogr-1185	351	18	october	october	PROPN
iogr-1185	351	19	.	.	PUNCT
iogr-1185	352	1	spe-56726	spe-56726	NOUN
iogr-1185	352	2	-	-	PUNCT
iogr-1185	352	3	ms	ms	PROPN
iogr-1185	352	4	.	.	PROPN
iogr-1185	352	5	jaeger	jaeger	PROPN
iogr-1185	352	6	,	,	PUNCT
iogr-1185	352	7	j.c	j.c	PROPN
iogr-1185	352	8	.	.	PROPN
iogr-1185	352	9	and	and	CCONJ
iogr-1185	352	10	cook	cook	VERB
iogr-1185	352	11	,	,	PUNCT
iogr-1185	352	12	n.	n.	NOUN
iogr-1185	352	13	1979	1979	NUM
iogr-1185	352	14	.	.	PUNCT
iogr-1185	353	1	fundamentals	fundamental	NOUN
iogr-1185	353	2	of	of	ADP
iogr-1185	353	3	rock	rock	NOUN
iogr-1185	353	4	mechanics	mechanic	NOUN
iogr-1185	353	5	(	(	PUNCT
iogr-1185	353	6	4th	4th	ADJ
iogr-1185	353	7	ed	ed	NOUN
iogr-1185	353	8	.	.	PUNCT
iogr-1185	353	9	vol	vol	NOUN
iogr-1185	353	10	.	.	PUNCT
iogr-1185	354	1	volume	volume	NOUN
iogr-1185	354	2	9	9	NUM
iogr-1185	354	3	)	)	PUNCT
iogr-1185	354	4	.	.	PUNCT
iogr-1185	355	1	london	london	PROPN
iogr-1185	355	2	:	:	PUNCT
iogr-1185	355	3	chapman	chapman	PROPN
iogr-1185	355	4	&	&	CCONJ
iogr-1185	355	5	hall	hall	PROPN
iogr-1185	355	6	.	.	PUNCT
iogr-1185	356	1	robinson	robinson	PROPN
iogr-1185	356	2	,	,	PUNCT
iogr-1185	356	3	b.m	b.m	PROPN
iogr-1185	356	4	.	.	PROPN
iogr-1185	356	5	,	,	PUNCT
iogr-1185	356	6	holditch	holditch	NOUN
iogr-1185	356	7	,	,	PUNCT
iogr-1185	356	8	s.a	s.a	PROPN
iogr-1185	356	9	.	.	PROPN
iogr-1185	356	10	,	,	PUNCT
iogr-1185	356	11	and	and	CCONJ
iogr-1185	356	12	whitehead	whitehead	PROPN
iogr-1185	356	13	,	,	PUNCT
iogr-1185	356	14	w.s	w.s	PROPN
iogr-1185	356	15	.	.	PROPN
iogr-1185	356	16	1988	1988	NUM
iogr-1185	356	17	.	.	PUNCT
iogr-1185	357	1	minimizing	minimize	VERB
iogr-1185	357	2	damage	damage	NOUN
iogr-1185	357	3	to	to	ADP
iogr-1185	357	4	a	a	DET
iogr-1185	357	5	propped	prop	VERB
iogr-1185	357	6	fracture	fracture	NOUN
iogr-1185	357	7	by	by	ADP
iogr-1185	357	8	controlled	control	VERB
iogr-1185	357	9	flowback	flowback	NOUN
iogr-1185	357	10	procedures	procedure	NOUN
iogr-1185	357	11	.	.	PUNCT
iogr-1185	358	1	journal	journal	NOUN
iogr-1185	358	2	of	of	ADP
iogr-1185	358	3	petroleum	petroleum	NOUN
iogr-1185	358	4	technology	technology	PROPN
iogr-1185	358	5	40(6	40(6	NOUN
iogr-1185	358	6	):	):	PUNCT
iogr-1185	358	7	753	753	NUM
iogr-1185	358	8	-	-	SYM
iogr-1185	358	9	759	759	NUM
iogr-1185	358	10	.	.	PUNCT
iogr-1185	359	1	li	li	PROPN
iogr-1185	359	2	,	,	PUNCT
iogr-1185	359	3	s.	s.	PROPN
iogr-1185	359	4	,	,	PUNCT
iogr-1185	359	5	li	li	PROPN
iogr-1185	359	6	,	,	PUNCT
iogr-1185	359	7	x.	x.	NOUN
iogr-1185	359	8	,	,	PUNCT
iogr-1185	359	9	and	and	CCONJ
iogr-1185	359	10	zhang	zhang	PROPN
iogr-1185	359	11	,	,	PUNCT
iogr-1185	359	12	d.	d.	PROPN
iogr-1185	359	13	2016	2016	NUM
iogr-1185	359	14	.	.	PUNCT
iogr-1185	360	1	a	a	DET
iogr-1185	360	2	fully	fully	ADV
iogr-1185	360	3	coupled	couple	VERB
iogr-1185	360	4	thermo	thermo	NOUN
iogr-1185	360	5	-	-	PUNCT
iogr-1185	360	6	hydro	hydro	NOUN
iogr-1185	360	7	-	-	PUNCT
iogr-1185	360	8	mechanical	mechanical	ADJ
iogr-1185	360	9	,	,	PUNCT
iogr-1185	360	10	three	three	NUM
iogr-1185	360	11	-	-	PUNCT
iogr-1185	360	12	dimensional	dimensional	ADJ
iogr-1185	360	13	model	model	NOUN
iogr-1185	360	14	for	for	ADP
iogr-1185	360	15	hydraulic	hydraulic	ADJ
iogr-1185	360	16	stimulation	stimulation	NOUN
iogr-1185	360	17	treatments	treatment	NOUN
iogr-1185	360	18	.	.	PUNCT
iogr-1185	361	1	journal	journal	NOUN
iogr-1185	361	2	of	of	ADP
iogr-1185	361	3	natural	natural	ADJ
iogr-1185	361	4	gas	gas	NOUN
iogr-1185	361	5	science	science	NOUN
iogr-1185	361	6	and	and	CCONJ
iogr-1185	361	7	engineering	engineering	NOUN
iogr-1185	361	8	34(4	34(4	NUM
iogr-1185	361	9	):	):	PUNCT
iogr-1185	361	10	64	64	NUM
iogr-1185	361	11	-	-	SYM
iogr-1185	361	12	84	84	NUM
iogr-1185	361	13	.	.	PUNCT
iogr-1185	362	1	nassir	nassir	PROPN
iogr-1185	362	2	,	,	PUNCT
iogr-1185	362	3	m.	m.	NOUN
iogr-1185	362	4	2013	2013	NUM
iogr-1185	362	5	.	.	PUNCT
iogr-1185	363	1	geomechanical	geomechanical	ADJ
iogr-1185	363	2	coupled	couple	VERB
iogr-1185	363	3	modeling	modeling	NOUN
iogr-1185	363	4	of	of	ADP
iogr-1185	363	5	shear	shear	NOUN
iogr-1185	363	6	fracturing	fracturing	NOUN
iogr-1185	363	7	in	in	ADP
iogr-1185	363	8	non	non	ADJ
iogr-1185	363	9	-	-	ADJ
iogr-1185	363	10	conventional	conventional	ADJ
iogr-1185	363	11	reservoirs	reservoir	NOUN
iogr-1185	363	12	.	.	PUNCT
iogr-1185	364	1	phd	phd	NOUN
iogr-1185	364	2	dissertation	dissertation	NOUN
iogr-1185	364	3	.	.	PUNCT
iogr-1185	365	1	university	university	NOUN
iogr-1185	365	2	of	of	ADP
iogr-1185	365	3	calgary	calgary	PROPN
iogr-1185	365	4	,	,	PUNCT
iogr-1185	365	5	calgary	calgary	PROPN
iogr-1185	365	6	,	,	PUNCT
iogr-1185	365	7	canada	canada	PROPN
iogr-1185	365	8	.	.	PUNCT
iogr-1185	366	1	shor	shor	PROPN
iogr-1185	366	2	,	,	PUNCT
iogr-1185	366	3	r.	r.	PROPN
iogr-1185	366	4	j.	j.	PROPN
iogr-1185	366	5	and	and	CCONJ
iogr-1185	366	6	sharma	sharma	PROPN
iogr-1185	366	7	,	,	PUNCT
iogr-1185	366	8	m.m	m.m	PROPN
iogr-1185	366	9	.	.	PROPN
iogr-1185	366	10	2014	2014	NUM
iogr-1185	366	11	.	.	PUNCT
iogr-1185	367	1	reducing	reduce	VERB
iogr-1185	367	2	proppant	proppant	NOUN
iogr-1185	367	3	flowback	flowback	NOUN
iogr-1185	367	4	from	from	ADP
iogr-1185	367	5	fracture	fracture	NOUN
iogr-1185	367	6	:	:	PUNCT
iogr-1185	367	7	factors	factor	NOUN
iogr-1185	367	8	affecting	affect	VERB
iogr-1185	367	9	the	the	DET
iogr-1185	367	10	maximum	maximum	ADJ
iogr-1185	367	11	flowback	flowback	NOUN
iogr-1185	367	12	rate	rate	NOUN
iogr-1185	367	13	.	.	PUNCT
iogr-1185	368	1	paper	paper	NOUN
iogr-1185	368	2	presented	present	VERB
iogr-1185	368	3	at	at	ADP
iogr-1185	368	4	spe	spe	PROPN
iogr-1185	368	5	hydraulic	hydraulic	PROPN
iogr-1185	368	6	fracture	fracture	PROPN
iogr-1185	368	7	technology	technology	PROPN
iogr-1185	368	8	conference	conference	NOUN
iogr-1185	368	9	,	,	PUNCT
iogr-1185	368	10	woodlands	woodland	NOUN
iogr-1185	368	11	,	,	PUNCT
iogr-1185	368	12	texas	texas	PROPN
iogr-1185	368	13	,	,	PUNCT
iogr-1185	368	14	4	4	NUM
iogr-1185	368	15	-	-	SYM
iogr-1185	368	16	6	6	NUM
iogr-1185	368	17	february	february	NOUN
iogr-1185	368	18	.	.	PUNCT
iogr-1185	369	1	spe-168649	spe-168649	PROPN
iogr-1185	369	2	-	-	PUNCT
iogr-1185	369	3	ms	ms	PROPN
iogr-1185	369	4	.	.	PROPN
iogr-1185	369	5	wang	wang	PROPN
iogr-1185	369	6	,	,	PUNCT
iogr-1185	369	7	f.	f.	PROPN
iogr-1185	369	8	,	,	PUNCT
iogr-1185	369	9	chen	chen	PROPN
iogr-1185	369	10	,	,	PUNCT
iogr-1185	369	11	q.	q.	PROPN
iogr-1185	369	12	,	,	PUNCT
iogr-1185	369	13	liu	liu	PROPN
iogr-1185	369	14	,	,	PUNCT
iogr-1185	369	15	x.	x.	PROPN
iogr-1185	369	16	,	,	PUNCT
iogr-1185	369	17	et	et	PROPN
iogr-1185	369	18	al	al	PROPN
iogr-1185	369	19	.	.	PROPN
iogr-1185	369	20	2020	2020	NUM
iogr-1185	369	21	.	.	PUNCT
iogr-1185	370	1	fracturing	fracturing	NOUN
iogr-1185	370	2	-	-	PUNCT
iogr-1185	370	3	fluid	fluid	NOUN
iogr-1185	370	4	flowback	flowback	NOUN
iogr-1185	370	5	simulation	simulation	NOUN
iogr-1185	370	6	with	with	ADP
iogr-1185	370	7	consideration	consideration	NOUN
iogr-1185	370	8	of	of	ADP
iogr-1185	370	9	proppant	proppant	ADJ
iogr-1185	370	10	transport	transport	NOUN
iogr-1185	370	11	in	in	ADP
iogr-1185	370	12	hydraulically	hydraulically	ADV
iogr-1185	370	13	fractured	fractured	ADJ
iogr-1185	370	14	shale	shale	NOUN
iogr-1185	370	15	wells	well	NOUN
iogr-1185	370	16	.	.	PUNCT
iogr-1185	371	1	acs	acs	PROPN
iogr-1185	371	2	omega	omega	NOUN
iogr-1185	371	3	5	5	NUM
iogr-1185	371	4	:	:	SYM
iogr-1185	371	5	9491	9491	NUM
iogr-1185	371	6	-	-	SYM
iogr-1185	371	7	9502	9502	NUM
iogr-1185	371	8	.	.	PUNCT
iogr-1185	372	1	21	21	NUM
iogr-1185	372	2	appendix	appendix	VERB
iogr-1185	372	3	a	a	DET
iogr-1185	372	4	𝑑휀𝑏	𝑑휀𝑏	NOUN
iogr-1185	372	5	=	=	PUNCT
iogr-1185	372	6	𝑑𝑉𝑏	𝑑𝑉𝑏	ADP
iogr-1185	372	7	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	8	=	=	PUNCT
iogr-1185	372	9	𝑐𝑏𝑐𝑑𝜎	𝑐𝑏𝑐𝑑𝜎	NOUN
iogr-1185	372	10	+	+	CCONJ
iogr-1185	372	11	𝑐𝑏𝑝𝑑𝑝,	𝑐𝑏𝑝𝑑𝑝,	PROPN
iogr-1185	372	12	…	…	PUNCT
iogr-1185	372	13	…	…	PUNCT
iogr-1185	372	14	…	…	PUNCT
iogr-1185	372	15	…	…	PUNCT
iogr-1185	372	16	…	…	PUNCT
iogr-1185	372	17	…	…	PUNCT
iogr-1185	372	18	…	…	PUNCT
iogr-1185	372	19	…	…	PUNCT
iogr-1185	372	20	…	…	PUNCT
iogr-1185	372	21	…	…	PUNCT
iogr-1185	372	22	…	…	PUNCT
iogr-1185	372	23	…	…	PUNCT
iogr-1185	372	24	…	…	PUNCT
iogr-1185	372	25	…	…	PUNCT
iogr-1185	372	26	…	…	PUNCT
iogr-1185	372	27	…	…	PUNCT
iogr-1185	372	28	…	…	PUNCT
iogr-1185	372	29	…	…	PUNCT
iogr-1185	372	30	…	…	PUNCT
iogr-1185	372	31	…	…	PUNCT
iogr-1185	372	32	…	…	PUNCT
iogr-1185	372	33	…	…	PUNCT
iogr-1185	372	34	…	…	PUNCT
iogr-1185	372	35	…	…	PUNCT
iogr-1185	372	36	…	…	PUNCT
iogr-1185	372	37	…	…	PUNCT
iogr-1185	372	38	…	…	PUNCT
iogr-1185	372	39	..	..	PUNCT
iogr-1185	372	40	(a1	(a1	PROPN
iogr-1185	372	41	)	)	PUNCT
iogr-1185	372	42	𝑑휀𝑝	𝑑휀𝑝	NOUN
iogr-1185	372	43	=	=	PUNCT
iogr-1185	372	44	𝑑𝑉𝑝	𝑑𝑉𝑝	NOUN
iogr-1185	372	45	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	372	46	=	=	SYM
iogr-1185	372	47	𝑐𝑝𝑐𝑑𝜎	𝑐𝑝𝑐𝑑𝜎	NOUN
iogr-1185	372	48	+	+	CCONJ
iogr-1185	372	49	𝑐𝑝𝑝𝑑𝑝,	𝑐𝑝𝑝𝑑𝑝,	PROPN
iogr-1185	372	50	…	…	PUNCT
iogr-1185	372	51	…	…	PUNCT
iogr-1185	372	52	…	…	PUNCT
iogr-1185	372	53	…	…	PUNCT
iogr-1185	372	54	…	…	PUNCT
iogr-1185	372	55	…	…	PUNCT
iogr-1185	372	56	…	…	PUNCT
iogr-1185	372	57	…	…	PUNCT
iogr-1185	372	58	…	…	PUNCT
iogr-1185	372	59	…	…	PUNCT
iogr-1185	372	60	…	…	PUNCT
iogr-1185	372	61	…	…	PUNCT
iogr-1185	372	62	…	…	PUNCT
iogr-1185	372	63	…	…	PUNCT
iogr-1185	372	64	…	…	PUNCT
iogr-1185	372	65	…	…	PUNCT
iogr-1185	372	66	…	…	PUNCT
iogr-1185	372	67	…	…	PUNCT
iogr-1185	372	68	…	…	PUNCT
iogr-1185	372	69	…	…	PUNCT
iogr-1185	372	70	…	…	PUNCT
iogr-1185	372	71	…	…	PUNCT
iogr-1185	372	72	…	…	PUNCT
iogr-1185	372	73	…	…	PUNCT
iogr-1185	372	74	…	…	PUNCT
iogr-1185	372	75	…	…	PUNCT
iogr-1185	372	76	…	…	PUNCT
iogr-1185	372	77	..	..	PUNCT
iogr-1185	372	78	(a2	(a2	PRON
iogr-1185	372	79	)	)	PUNCT
iogr-1185	372	80	𝑑𝜙	𝑑𝜙	ADP
iogr-1185	372	81	𝜙	𝜙	NOUN
iogr-1185	372	82	=	=	SYM
iogr-1185	372	83	𝑑	𝑑	PROPN
iogr-1185	372	84	(	(	PUNCT
iogr-1185	372	85	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	372	86	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	87	)	)	PUNCT
iogr-1185	372	88	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	372	89	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	90	=	=	PUNCT
iogr-1185	372	91	𝑑𝑉𝑝	𝑑𝑉𝑝	X
iogr-1185	372	92	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	93	−	−	NOUN
iogr-1185	372	94	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	372	95	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	96	2𝑑𝑉𝑏	2𝑑𝑉𝑏	VERB
iogr-1185	372	97	𝑉𝑝	𝑉𝑝	PROPN
iogr-1185	372	98	𝑉𝑏	𝑉𝑏	PROPN
iogr-1185	372	99	=	=	PUNCT
iogr-1185	372	100	𝑑휀𝑏	𝑑휀𝑏	PROPN
iogr-1185	372	101	−	−	PROPN
iogr-1185	372	102	𝑑휀𝑝,	𝑑휀𝑝,	NOUN
iogr-1185	372	103	…	…	PUNCT
iogr-1185	372	104	…	…	PUNCT
iogr-1185	372	105	…	…	PUNCT
iogr-1185	372	106	…	…	PUNCT
iogr-1185	372	107	…	…	PUNCT
iogr-1185	372	108	…	…	SYM
iogr-1185	372	109	.	.	NUM
iogr-1185	372	110	…	…	PUNCT
iogr-1185	372	111	…	…	PUNCT
iogr-1185	372	112	…	…	PUNCT
iogr-1185	372	113	…	…	PUNCT
iogr-1185	372	114	…	…	PUNCT
iogr-1185	372	115	…	…	PUNCT
iogr-1185	372	116	…	…	PUNCT
iogr-1185	372	117	…	…	PUNCT
iogr-1185	372	118	…	…	PUNCT
iogr-1185	372	119	…	…	PUNCT
iogr-1185	372	120	…	…	PUNCT
iogr-1185	372	121	…	…	PUNCT
iogr-1185	372	122	…	…	PUNCT
iogr-1185	372	123	…	…	PUNCT
iogr-1185	372	124	…	…	PUNCT
iogr-1185	372	125	…	…	PUNCT
iogr-1185	372	126	…	…	PUNCT
iogr-1185	372	127	..	..	PUNCT
iogr-1185	372	128	(a3	(a3	X
iogr-1185	372	129	)	)	PUNCT
iogr-1185	372	130	where	where	SCONJ
iogr-1185	372	131	𝑏	𝑏	PROPN
iogr-1185	372	132	=	=	SYM
iogr-1185	372	133	1	1	NUM
iogr-1185	372	134	−	−	PROPN
iogr-1185	372	135	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	372	136	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	372	137	,	,	PUNCT
iogr-1185	372	138	…	…	PUNCT
iogr-1185	372	139	…	…	PUNCT
iogr-1185	372	140	…	…	PUNCT
iogr-1185	372	141	…	…	PUNCT
iogr-1185	372	142	…	…	PUNCT
iogr-1185	372	143	…	…	PUNCT
iogr-1185	372	144	…	…	PUNCT
iogr-1185	372	145	…	…	PUNCT
iogr-1185	372	146	…	…	PUNCT
iogr-1185	372	147	…	…	PUNCT
iogr-1185	372	148	…	…	PUNCT
iogr-1185	372	149	…	…	PUNCT
iogr-1185	372	150	…	…	PUNCT
iogr-1185	372	151	…	…	PUNCT
iogr-1185	372	152	…	…	PUNCT
iogr-1185	372	153	…	…	PUNCT
iogr-1185	372	154	…	…	PUNCT
iogr-1185	372	155	…	…	PUNCT
iogr-1185	372	156	…	…	PUNCT
iogr-1185	372	157	…	…	PUNCT
iogr-1185	372	158	…	…	PUNCT
iogr-1185	372	159	…	…	PUNCT
iogr-1185	372	160	…	…	PUNCT
iogr-1185	372	161	…	…	PUNCT
iogr-1185	372	162	…	…	PUNCT
iogr-1185	372	163	…	…	PUNCT
iogr-1185	372	164	…	…	PUNCT
iogr-1185	372	165	…	…	PUNCT
iogr-1185	372	166	…	…	PUNCT
iogr-1185	372	167	…	…	PUNCT
iogr-1185	372	168	…	…	PUNCT
iogr-1185	372	169	…	…	PUNCT
iogr-1185	372	170	…	…	PUNCT
iogr-1185	372	171	…	…	PUNCT
iogr-1185	372	172	..	..	PUNCT
iogr-1185	372	173	(	(	PUNCT
iogr-1185	372	174	a4	a4	NOUN
iogr-1185	372	175	)	)	PUNCT
iogr-1185	372	176	𝑐𝑏𝑐	𝑐𝑏𝑐	NOUN
iogr-1185	372	177	=	=	PUNCT
iogr-1185	372	178	𝑏	𝑏	PRON
iogr-1185	372	179	𝐾𝑑	𝐾𝑑	NOUN
iogr-1185	372	180	+	+	NOUN
iogr-1185	372	181	1	1	NUM
iogr-1185	372	182	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	372	183	=	=	SYM
iogr-1185	372	184	1−	1−	NUM
iogr-1185	373	1	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	373	2	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	373	3	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	373	4	+	+	CCONJ
iogr-1185	373	5	1	1	NUM
iogr-1185	373	6	𝐾𝑠	𝐾𝑠	NOUN
iogr-1185	373	7	=	=	PUNCT
iogr-1185	373	8	𝐾𝑠−𝐾𝑑	𝐾𝑠−𝐾𝑑	NOUN
iogr-1185	373	9	𝐾𝑠𝐾𝑑	𝐾𝑠𝐾𝑑	PROPN
iogr-1185	373	10	+	+	NOUN
iogr-1185	373	11	1	1	NUM
iogr-1185	373	12	𝐾𝑠	𝐾𝑠	NOUN
iogr-1185	373	13	=	=	SYM
iogr-1185	373	14	1	1	NUM
iogr-1185	373	15	𝐾𝑑	𝐾𝑑	NOUN
iogr-1185	373	16	,	,	PUNCT
iogr-1185	373	17	…	…	PUNCT
iogr-1185	373	18	…	…	PUNCT
iogr-1185	373	19	…	…	PUNCT
iogr-1185	373	20	…	…	PUNCT
iogr-1185	373	21	…	…	PUNCT
iogr-1185	373	22	…	…	PUNCT
iogr-1185	373	23	…	…	PUNCT
iogr-1185	373	24	…	…	PUNCT
iogr-1185	373	25	…	…	PUNCT
iogr-1185	373	26	…	…	PUNCT
iogr-1185	373	27	…	…	PUNCT
iogr-1185	373	28	…	…	PUNCT
iogr-1185	373	29	..	..	PUNCT
iogr-1185	373	30	…	…	PUNCT
iogr-1185	373	31	…	…	PUNCT
iogr-1185	373	32	…	…	PUNCT
iogr-1185	373	33	…	…	PUNCT
iogr-1185	373	34	…	…	PUNCT
iogr-1185	373	35	…	…	PUNCT
iogr-1185	373	36	…	…	PUNCT
iogr-1185	373	37	…	…	PUNCT
iogr-1185	373	38	..	..	PUNCT
iogr-1185	373	39	(	(	PUNCT
iogr-1185	373	40	a5	a5	PROPN
iogr-1185	373	41	)	)	PUNCT
iogr-1185	373	42	𝑐𝑏𝑝	𝑐𝑏𝑝	NOUN
iogr-1185	374	1	=	=	PUNCT
iogr-1185	374	2	𝑏	𝑏	DET
iogr-1185	374	3	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	374	4	,	,	PUNCT
iogr-1185	374	5	…	…	PUNCT
iogr-1185	374	6	..	..	PUNCT
iogr-1185	374	7	…	…	PUNCT
iogr-1185	374	8	…	…	PUNCT
iogr-1185	374	9	…	…	PUNCT
iogr-1185	374	10	…	…	PUNCT
iogr-1185	374	11	…	…	PUNCT
iogr-1185	374	12	…	…	PUNCT
iogr-1185	374	13	…	…	PUNCT
iogr-1185	374	14	…	…	PUNCT
iogr-1185	374	15	…	…	PUNCT
iogr-1185	374	16	…	…	PUNCT
iogr-1185	374	17	…	…	PUNCT
iogr-1185	374	18	…	…	PUNCT
iogr-1185	374	19	…	…	PUNCT
iogr-1185	374	20	…	…	PUNCT
iogr-1185	374	21	…	…	PUNCT
iogr-1185	374	22	…	…	PUNCT
iogr-1185	374	23	…	…	PUNCT
iogr-1185	374	24	…	…	PUNCT
iogr-1185	374	25	…	…	PUNCT
iogr-1185	374	26	…	…	PUNCT
iogr-1185	374	27	…	…	PUNCT
iogr-1185	374	28	…	…	PUNCT
iogr-1185	374	29	…	…	PUNCT
iogr-1185	374	30	…	…	PUNCT
iogr-1185	374	31	…	…	PUNCT
iogr-1185	374	32	…	…	PUNCT
iogr-1185	374	33	…	…	PUNCT
iogr-1185	374	34	…	…	PUNCT
iogr-1185	374	35	…	…	PUNCT
iogr-1185	374	36	…	…	PUNCT
iogr-1185	374	37	…	…	PUNCT
iogr-1185	374	38	…	…	PUNCT
iogr-1185	374	39	…	…	PUNCT
iogr-1185	374	40	…	…	PUNCT
iogr-1185	374	41	(	(	PUNCT
iogr-1185	374	42	a6	a6	NOUN
iogr-1185	374	43	)	)	PUNCT
iogr-1185	374	44	𝑐𝑝𝑐	𝑐𝑝𝑐	NOUN
iogr-1185	375	1	=	=	SYM
iogr-1185	375	2	𝑏	𝑏	NOUN
iogr-1185	375	3	𝜙𝐾𝑑	𝜙𝐾𝑑	NOUN
iogr-1185	375	4	,	,	PUNCT
iogr-1185	375	5	…	…	PUNCT
iogr-1185	375	6	…	…	PUNCT
iogr-1185	375	7	…	…	PUNCT
iogr-1185	375	8	…	…	PUNCT
iogr-1185	375	9	…	…	PUNCT
iogr-1185	375	10	…	…	PUNCT
iogr-1185	375	11	…	…	PUNCT
iogr-1185	375	12	…	…	PUNCT
iogr-1185	375	13	…	…	PUNCT
iogr-1185	375	14	…	…	PUNCT
iogr-1185	375	15	…	…	PUNCT
iogr-1185	375	16	…	…	PUNCT
iogr-1185	375	17	…	…	PUNCT
iogr-1185	375	18	…	…	PUNCT
iogr-1185	375	19	…	…	PUNCT
iogr-1185	375	20	…	…	PUNCT
iogr-1185	375	21	…	…	PUNCT
iogr-1185	375	22	…	…	PUNCT
iogr-1185	375	23	…	…	PUNCT
iogr-1185	375	24	…	…	PUNCT
iogr-1185	375	25	…	…	PUNCT
iogr-1185	375	26	…	…	PUNCT
iogr-1185	375	27	…	…	PUNCT
iogr-1185	375	28	…	…	PUNCT
iogr-1185	375	29	…	…	PUNCT
iogr-1185	375	30	…	…	PUNCT
iogr-1185	375	31	…	…	PUNCT
iogr-1185	375	32	…	…	PUNCT
iogr-1185	375	33	…	…	PUNCT
iogr-1185	375	34	…	…	PUNCT
iogr-1185	375	35	…	…	PUNCT
iogr-1185	375	36	…	…	PUNCT
iogr-1185	375	37	…	…	PUNCT
iogr-1185	375	38	…	…	PUNCT
iogr-1185	375	39	…	…	PUNCT
iogr-1185	375	40	(	(	PUNCT
iogr-1185	375	41	a7	a7	PROPN
iogr-1185	375	42	)	)	PUNCT
iogr-1185	375	43	𝑐𝑝𝑝	𝑐𝑝𝑝	NOUN
iogr-1185	376	1	=	=	PUNCT
iogr-1185	376	2	𝑏	𝑏	PROPN
iogr-1185	376	3	𝜙𝐾𝑑	𝜙𝐾𝑑	ADJ
iogr-1185	376	4	−	−	PROPN
iogr-1185	376	5	1	1	NUM
iogr-1185	376	6	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	376	7	,	,	PUNCT
iogr-1185	376	8	…	…	PUNCT
iogr-1185	376	9	…	…	PUNCT
iogr-1185	376	10	…	…	PUNCT
iogr-1185	376	11	…	…	PUNCT
iogr-1185	376	12	…	…	PUNCT
iogr-1185	376	13	…	…	PUNCT
iogr-1185	376	14	…	…	PUNCT
iogr-1185	376	15	…	…	PUNCT
iogr-1185	376	16	…	…	PUNCT
iogr-1185	376	17	…	…	PUNCT
iogr-1185	376	18	…	…	PUNCT
iogr-1185	376	19	…	…	PUNCT
iogr-1185	376	20	…	…	PUNCT
iogr-1185	376	21	…	…	PUNCT
iogr-1185	376	22	…	…	PUNCT
iogr-1185	376	23	…	…	PUNCT
iogr-1185	376	24	…	…	PUNCT
iogr-1185	376	25	…	…	PUNCT
iogr-1185	376	26	…	…	PUNCT
iogr-1185	376	27	…	…	PUNCT
iogr-1185	376	28	…	…	PUNCT
iogr-1185	376	29	…	…	PUNCT
iogr-1185	376	30	…	…	PUNCT
iogr-1185	376	31	…	…	PUNCT
iogr-1185	376	32	…	…	PUNCT
iogr-1185	376	33	…	…	PUNCT
iogr-1185	376	34	…	…	PUNCT
iogr-1185	376	35	…	…	PUNCT
iogr-1185	376	36	…	…	PUNCT
iogr-1185	376	37	…	…	PUNCT
iogr-1185	376	38	…	…	PUNCT
iogr-1185	376	39	…	…	PUNCT
iogr-1185	376	40	…	…	PUNCT
iogr-1185	376	41	(	(	PUNCT
iogr-1185	376	42	a8	a8	PROPN
iogr-1185	376	43	)	)	PUNCT
iogr-1185	376	44	where	where	SCONJ
iogr-1185	376	45	휀𝑏	휀𝑏	NOUN
iogr-1185	376	46	is	be	VERB
iogr-1185	376	47	the	the	DET
iogr-1185	376	48	bulk	bulk	ADJ
iogr-1185	376	49	stress	stress	NOUN
iogr-1185	376	50	tensor	tensor	NOUN
iogr-1185	376	51	;	;	PUNCT
iogr-1185	376	52	휀𝑝	휀𝑝	PRON
iogr-1185	376	53	is	be	AUX
iogr-1185	376	54	the	the	DET
iogr-1185	376	55	pore	pore	ADJ
iogr-1185	376	56	stress	stress	NOUN
iogr-1185	376	57	tensor	tensor	NOUN
iogr-1185	376	58	;	;	PUNCT
iogr-1185	376	59	𝜙	𝜙	PRON
iogr-1185	376	60	is	be	AUX
iogr-1185	376	61	true	true	ADJ
iogr-1185	376	62	porosity	porosity	NOUN
iogr-1185	376	63	;	;	PUNCT
iogr-1185	376	64	ks	ks	PROPN
iogr-1185	376	65	and	and	CCONJ
iogr-1185	376	66	kd	kd	PROPN
iogr-1185	376	67	are	be	AUX
iogr-1185	376	68	the	the	DET
iogr-1185	376	69	skeleton	skeleton	NOUN
iogr-1185	376	70	modulus	modulus	NOUN
iogr-1185	376	71	.	.	PUNCT
iogr-1185	377	1	fluid	fluid	ADJ
iogr-1185	377	2	compressibility	compressibility	NOUN
iogr-1185	377	3	is	be	AUX
iogr-1185	377	4	given	give	VERB
iogr-1185	377	5	as	as	ADP
iogr-1185	377	6	𝑐𝑓	𝑐𝑓	ADJ
iogr-1185	377	7	=	=	SYM
iogr-1185	377	8	1	1	NUM
iogr-1185	377	9	𝜌𝑓	𝜌𝑓	NUM
iogr-1185	377	10	𝑑𝜌𝑓	𝑑𝜌𝑓	PROPN
iogr-1185	377	11	𝑑𝑝	𝑑𝑝	ADV
iogr-1185	377	12	,	,	PUNCT
iogr-1185	377	13	…	…	PUNCT
iogr-1185	377	14	…	…	PUNCT
iogr-1185	377	15	…	…	PUNCT
iogr-1185	377	16	…	…	PUNCT
iogr-1185	377	17	…	…	PUNCT
iogr-1185	377	18	…	…	PUNCT
iogr-1185	377	19	…	…	PUNCT
iogr-1185	377	20	…	…	PUNCT
iogr-1185	377	21	…	…	PUNCT
iogr-1185	377	22	…	…	PUNCT
iogr-1185	377	23	…	…	PUNCT
iogr-1185	377	24	…	…	PUNCT
iogr-1185	377	25	…	…	PUNCT
iogr-1185	377	26	…	…	PUNCT
iogr-1185	377	27	…	…	PUNCT
iogr-1185	377	28	…	…	PUNCT
iogr-1185	377	29	…	…	PUNCT
iogr-1185	377	30	…	…	PUNCT
iogr-1185	377	31	…	…	PUNCT
iogr-1185	377	32	…	…	PUNCT
iogr-1185	377	33	…	…	PUNCT
iogr-1185	377	34	…	…	PUNCT
iogr-1185	377	35	…	…	PUNCT
iogr-1185	377	36	…	…	PUNCT
iogr-1185	377	37	…	…	PUNCT
iogr-1185	377	38	…	…	PUNCT
iogr-1185	377	39	…	…	PUNCT
iogr-1185	377	40	…	…	PUNCT
iogr-1185	377	41	…	…	PUNCT
iogr-1185	377	42	…	…	PUNCT
iogr-1185	377	43	…	…	PUNCT
iogr-1185	377	44	…	…	PUNCT
iogr-1185	377	45	…	…	PUNCT
iogr-1185	377	46	…	…	PUNCT
iogr-1185	377	47	…	…	PUNCT
iogr-1185	377	48	(	(	PUNCT
iogr-1185	377	49	a9	a9	NOUN
iogr-1185	377	50	)	)	PUNCT
iogr-1185	377	51	𝜕(𝜌𝑓𝑉𝑝	𝜕(𝜌𝑓𝑉𝑝	PROPN
iogr-1185	377	52	)	)	PUNCT
iogr-1185	377	53	𝑉𝑏𝜕𝑡	𝑉𝑏𝜕𝑡	NOUN
iogr-1185	377	54	=	=	SYM
iogr-1185	377	55	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	377	56	𝜙	𝜙	NOUN
iogr-1185	378	1	𝑉𝑝	𝑉𝑝	ADJ
iogr-1185	378	2	𝜕𝑉𝑝	𝜕𝑉𝑝	ADJ
iogr-1185	378	3	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	378	4	+	+	NUM
iogr-1185	378	5	𝜙	𝜙	NOUN
iogr-1185	378	6	𝜕𝜌𝑓	𝜕𝜌𝑓	PUNCT
iogr-1185	379	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	379	2	=	=	NOUN
iogr-1185	380	1	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	380	2	𝜙	𝜙	NOUN
iogr-1185	381	1	𝑉𝑝	𝑉𝑝	ADJ
iogr-1185	381	2	𝜕𝑉𝑝	𝜕𝑉𝑝	ADJ
iogr-1185	381	3	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	381	4	+	+	NUM
iogr-1185	381	5	𝜙𝜌𝑓	𝜙𝜌𝑓	PROPN
iogr-1185	381	6	1	1	NUM
iogr-1185	381	7	𝜌𝑓	𝜌𝑓	NUM
iogr-1185	381	8	𝜕𝜌𝑓	𝜕𝜌𝑓	X
iogr-1185	381	9	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	381	10	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	381	11	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	381	12	.	.	PUNCT
iogr-1185	382	1	…	…	PUNCT
iogr-1185	382	2	…	…	PUNCT
iogr-1185	382	3	.	.	NUM
iogr-1185	383	1	…	…	PUNCT
iogr-1185	383	2	...	...	PUNCT
iogr-1185	384	1	…	…	PUNCT
iogr-1185	384	2	…	…	PUNCT
iogr-1185	384	3	…	…	PUNCT
iogr-1185	384	4	..	..	PUNCT
iogr-1185	384	5	…	…	PUNCT
iogr-1185	384	6	.	.	NUM
iogr-1185	385	1	…	…	PUNCT
iogr-1185	385	2	…	…	PUNCT
iogr-1185	385	3	…	…	PUNCT
iogr-1185	385	4	…	…	PUNCT
iogr-1185	385	5	…	…	PUNCT
iogr-1185	385	6	…	…	PUNCT
iogr-1185	385	7	…	…	PUNCT
iogr-1185	385	8	…	…	SYM
iogr-1185	385	9	.(a10	.(a10	SYM
iogr-1185	385	10	)	)	PUNCT
iogr-1185	385	11	substituting	substitute	VERB
iogr-1185	385	12	eqs	eqs	PROPN
iogr-1185	385	13	.	.	PROPN
iogr-1185	385	14	a2	a2	PROPN
iogr-1185	385	15	and	and	CCONJ
iogr-1185	385	16	a9	a9	NOUN
iogr-1185	385	17	into	into	ADP
iogr-1185	385	18	eq	eq	NOUN
iogr-1185	385	19	.	.	PROPN
iogr-1185	385	20	a10	a10	PROPN
iogr-1185	385	21	𝜕(𝜌𝑓𝑉𝑝	𝜕(𝜌𝑓𝑉𝑝	PROPN
iogr-1185	385	22	)	)	PUNCT
iogr-1185	385	23	𝑉𝑏𝜕𝑡	𝑉𝑏𝜕𝑡	NOUN
iogr-1185	386	1	=	=	SYM
iogr-1185	386	2	𝜙𝜌𝑓	𝜙𝜌𝑓	PROPN
iogr-1185	386	3	(	(	PUNCT
iogr-1185	386	4	𝜕𝜀𝑝	𝜕𝜀𝑝	NUM
iogr-1185	387	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	387	2	+	+	CCONJ
iogr-1185	387	3	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	387	4	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	387	5	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	387	6	)	)	PUNCT
iogr-1185	387	7	…	…	PUNCT
iogr-1185	387	8	..	..	PUNCT
iogr-1185	387	9	…	…	PUNCT
iogr-1185	387	10	…	…	PUNCT
iogr-1185	387	11	…	…	PUNCT
iogr-1185	387	12	…	…	PUNCT
iogr-1185	387	13	…	…	PUNCT
iogr-1185	387	14	…	…	PUNCT
iogr-1185	387	15	…	…	PUNCT
iogr-1185	387	16	…	…	PUNCT
iogr-1185	387	17	…	…	PUNCT
iogr-1185	387	18	…	…	PUNCT
iogr-1185	387	19	…	…	PUNCT
iogr-1185	387	20	…	…	PUNCT
iogr-1185	387	21	..	..	PUNCT
iogr-1185	387	22	…	…	PUNCT
iogr-1185	387	23	…	…	PUNCT
iogr-1185	387	24	…	…	PUNCT
iogr-1185	387	25	…	…	PUNCT
iogr-1185	387	26	..	..	PUNCT
iogr-1185	387	27	…	…	PUNCT
iogr-1185	387	28	…	…	PUNCT
iogr-1185	387	29	…	…	PUNCT
iogr-1185	387	30	…	…	PUNCT
iogr-1185	387	31	…	…	PUNCT
iogr-1185	387	32	…	…	PUNCT
iogr-1185	387	33	…	…	PUNCT
iogr-1185	387	34	…	…	PUNCT
iogr-1185	387	35	…	…	SYM
iogr-1185	387	36	.(a11	.(a11	PROPN
iogr-1185	387	37	)	)	PUNCT
iogr-1185	387	38	from	from	ADP
iogr-1185	387	39	eq	eq	PROPN
iogr-1185	387	40	.	.	PUNCT
iogr-1185	387	41	a2	a2	PROPN
iogr-1185	387	42	𝜕𝜀𝑝	𝜕𝜀𝑝	PUNCT
iogr-1185	388	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	389	1	+	+	CCONJ
iogr-1185	389	2	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	389	3	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	389	4	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	389	5	=	=	SYM
iogr-1185	389	6	𝑐𝑝𝑐𝜕𝜎+𝑐𝑝𝑝𝜕𝑝	𝑐𝑝𝑐𝜕𝜎+𝑐𝑝𝑝𝜕𝑝	SYM
iogr-1185	390	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	390	2	+	+	CCONJ
iogr-1185	390	3	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	390	4	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	391	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	391	2	=	=	NOUN
iogr-1185	391	3	𝑐𝑝𝑐	𝑐𝑝𝑐	NOUN
iogr-1185	391	4	𝜕𝜎	𝜕𝜎	PROPN
iogr-1185	391	5	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	391	6	+	+	CCONJ
iogr-1185	391	7	(	(	PUNCT
iogr-1185	391	8	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	391	9	+	+	CCONJ
iogr-1185	391	10	𝑐𝑝𝑝	𝑐𝑝𝑝	ADJ
iogr-1185	391	11	)	)	PUNCT
iogr-1185	391	12	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	391	13	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	391	14	…	…	PUNCT
iogr-1185	391	15	…	…	PUNCT
iogr-1185	391	16	…	…	PUNCT
iogr-1185	391	17	.....	.....	PUNCT
iogr-1185	391	18	…	…	PUNCT
iogr-1185	391	19	…	…	PUNCT
iogr-1185	391	20	…	…	PUNCT
iogr-1185	391	21	…	…	PUNCT
iogr-1185	391	22	…	…	PUNCT
iogr-1185	391	23	…	…	PUNCT
iogr-1185	391	24	…	…	PUNCT
iogr-1185	391	25	…	…	PUNCT
iogr-1185	391	26	…	…	PUNCT
iogr-1185	391	27	…	…	SYM
iogr-1185	391	28	…	…	SYM
iogr-1185	391	29	.(a12	.(a12	NUM
iogr-1185	391	30	)	)	PUNCT
iogr-1185	391	31	substituting	substitute	VERB
iogr-1185	391	32	eqs	eqs	PROPN
iogr-1185	391	33	.	.	PROPN
iogr-1185	391	34	a11	a11	PROPN
iogr-1185	391	35	and	and	CCONJ
iogr-1185	391	36	a12	a12	VERB
iogr-1185	391	37	into	into	ADP
iogr-1185	391	38	eq	eq	PROPN
iogr-1185	391	39	.	.	PROPN
iogr-1185	391	40	a10	a10	PROPN
iogr-1185	391	41	𝜕(𝜌𝑓𝑉𝑝	𝜕(𝜌𝑓𝑉𝑝	PROPN
iogr-1185	391	42	)	)	PUNCT
iogr-1185	391	43	𝑉𝑏𝜕𝑡	𝑉𝑏𝜕𝑡	NOUN
iogr-1185	392	1	=	=	SYM
iogr-1185	393	1	𝜙𝜌𝑓	𝜙𝜌𝑓	PROPN
iogr-1185	394	1	(	(	PUNCT
iogr-1185	394	2	𝑐𝑝𝑐	𝑐𝑝𝑐	NOUN
iogr-1185	394	3	𝜕𝜎	𝜕𝜎	PROPN
iogr-1185	394	4	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	394	5	+	+	CCONJ
iogr-1185	394	6	(	(	PUNCT
iogr-1185	394	7	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	394	8	+	+	CCONJ
iogr-1185	394	9	𝑐𝑝𝑝	𝑐𝑝𝑝	ADJ
iogr-1185	394	10	)	)	PUNCT
iogr-1185	394	11	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	394	12	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	394	13	)	)	PUNCT
iogr-1185	394	14	,	,	PUNCT
iogr-1185	394	15	…	…	PUNCT
iogr-1185	394	16	…	…	PUNCT
iogr-1185	394	17	…	…	PUNCT
iogr-1185	394	18	…	…	PUNCT
iogr-1185	394	19	…	…	PUNCT
iogr-1185	394	20	…	…	PUNCT
iogr-1185	394	21	…	…	PUNCT
iogr-1185	394	22	…	…	PUNCT
iogr-1185	394	23	…	…	PUNCT
iogr-1185	394	24	...	...	PUNCT
iogr-1185	394	25	…	…	PUNCT
iogr-1185	394	26	…	…	PUNCT
iogr-1185	394	27	…	…	PUNCT
iogr-1185	394	28	…	…	PUNCT
iogr-1185	394	29	…	…	PUNCT
iogr-1185	394	30	…	…	PUNCT
iogr-1185	394	31	…	…	PUNCT
iogr-1185	394	32	…	…	PUNCT
iogr-1185	394	33	…	…	PUNCT
iogr-1185	394	34	…	…	PUNCT
iogr-1185	394	35	…	…	PUNCT
iogr-1185	394	36	…	…	PUNCT
iogr-1185	394	37	…	…	PUNCT
iogr-1185	394	38	(	(	PUNCT
iogr-1185	394	39	a13	a13	PROPN
iogr-1185	394	40	)	)	PUNCT
iogr-1185	394	41	substituting	substitute	VERB
iogr-1185	394	42	eq	eq	PROPN
iogr-1185	394	43	.	.	PROPN
iogr-1185	394	44	a13	a13	PROPN
iogr-1185	394	45	into	into	ADP
iogr-1185	394	46	the	the	DET
iogr-1185	394	47	fluid	fluid	ADJ
iogr-1185	394	48	constitutive	constitutive	ADJ
iogr-1185	394	49	equation	equation	NOUN
iogr-1185	394	50	(	(	PUNCT
iogr-1185	394	51	eq	eq	NOUN
iogr-1185	394	52	.	.	NOUN
iogr-1185	394	53	5	5	NUM
iogr-1185	394	54	)	)	PUNCT
iogr-1185	394	55	and	and	CCONJ
iogr-1185	394	56	dividing	divide	VERB
iogr-1185	394	57	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	394	58	on	on	ADP
iogr-1185	394	59	both	both	DET
iogr-1185	394	60	sides	side	NOUN
iogr-1185	394	61	of	of	ADP
iogr-1185	394	62	eq	eq	NOUN
iogr-1185	394	63	.	.	PROPN
iogr-1185	394	64	5	5	NUM
iogr-1185	394	65	,	,	PUNCT
iogr-1185	394	66	eq	eq	NOUN
iogr-1185	394	67	.	.	NOUN
iogr-1185	394	68	5	5	NUM
iogr-1185	394	69	can	can	AUX
iogr-1185	394	70	be	be	AUX
iogr-1185	394	71	simplified	simplify	VERB
iogr-1185	394	72	as	as	ADP
iogr-1185	394	73	𝜙𝑐𝑝𝑐	𝜙𝑐𝑝𝑐	NOUN
iogr-1185	394	74	𝜕𝜎	𝜕𝜎	NOUN
iogr-1185	394	75	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	394	76	+	+	NUM
iogr-1185	394	77	𝜙(𝑐𝑓	𝜙(𝑐𝑓	NOUN
iogr-1185	394	78	+	+	CCONJ
iogr-1185	394	79	𝑐𝑝𝑝	𝑐𝑝𝑝	ADJ
iogr-1185	394	80	)	)	PUNCT
iogr-1185	394	81	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	395	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	395	2	+	+	NOUN
iogr-1185	395	3	∇(𝜌𝑓𝒗𝑓	∇(𝜌𝑓𝒗𝑓	NOUN
iogr-1185	395	4	)	)	PUNCT
iogr-1185	395	5	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	395	6	=	=	SYM
iogr-1185	395	7	𝑞	𝑞	X
iogr-1185	395	8	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	PROPN
iogr-1185	395	9	.	.	PUNCT
iogr-1185	395	10	…	…	PUNCT
iogr-1185	395	11	…	…	PUNCT
iogr-1185	395	12	…	…	PUNCT
iogr-1185	395	13	…	…	PUNCT
iogr-1185	395	14	…	…	PUNCT
iogr-1185	395	15	…	…	SYM
iogr-1185	395	16	....	....	PUNCT
iogr-1185	395	17	…	…	PUNCT
iogr-1185	395	18	…	…	PUNCT
iogr-1185	395	19	…	…	PUNCT
iogr-1185	395	20	…	…	PUNCT
iogr-1185	395	21	…	…	PUNCT
iogr-1185	395	22	…	…	PUNCT
iogr-1185	395	23	…	…	PUNCT
iogr-1185	395	24	…	…	PUNCT
iogr-1185	395	25	…	…	PUNCT
iogr-1185	395	26	…	…	PUNCT
iogr-1185	395	27	…	…	PUNCT
iogr-1185	395	28	…	…	PUNCT
iogr-1185	395	29	…	…	PUNCT
iogr-1185	395	30	…	…	PUNCT
iogr-1185	395	31	..	..	PUNCT
iogr-1185	395	32	(a14	(a14	PROPN
iogr-1185	395	33	)	)	PUNCT
iogr-1185	395	34	from	from	ADP
iogr-1185	395	35	eq	eq	NOUN
iogr-1185	395	36	.	.	PUNCT
iogr-1185	396	1	a1	a1	NOUN
iogr-1185	396	2	𝜕𝜎	𝜕𝜎	NOUN
iogr-1185	396	3	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	396	4	=	=	SYM
iogr-1185	396	5	𝜕𝜀𝑏−𝑐𝑏𝑝𝜕𝑝	𝜕𝜀𝑏−𝑐𝑏𝑝𝜕𝑝	PROPN
iogr-1185	396	6	𝑐𝑏𝑐𝜕𝑡	𝑐𝑏𝑐𝜕𝑡	NOUN
iogr-1185	396	7	…	…	PUNCT
iogr-1185	396	8	…	…	PUNCT
iogr-1185	396	9	…	…	PUNCT
iogr-1185	396	10	…	…	PUNCT
iogr-1185	396	11	…	…	PUNCT
iogr-1185	396	12	…	…	PUNCT
iogr-1185	396	13	…	…	PUNCT
iogr-1185	396	14	…	…	PUNCT
iogr-1185	396	15	…	…	PUNCT
iogr-1185	396	16	…	…	PUNCT
iogr-1185	396	17	…	…	PUNCT
iogr-1185	396	18	…	…	PUNCT
iogr-1185	396	19	…	…	PUNCT
iogr-1185	396	20	…	…	PUNCT
iogr-1185	396	21	…	…	PUNCT
iogr-1185	396	22	…	…	PUNCT
iogr-1185	396	23	…	…	PUNCT
iogr-1185	396	24	…	…	SYM
iogr-1185	396	25	.	.	NUM
iogr-1185	396	26	…	…	PUNCT
iogr-1185	396	27	…	…	PUNCT
iogr-1185	396	28	…	…	PUNCT
iogr-1185	396	29	…	…	PUNCT
iogr-1185	396	30	…	…	PUNCT
iogr-1185	396	31	…	…	PUNCT
iogr-1185	396	32	…	…	PUNCT
iogr-1185	396	33	…	…	PUNCT
iogr-1185	396	34	…	…	PUNCT
iogr-1185	396	35	…	…	PUNCT
iogr-1185	396	36	…	…	PUNCT
iogr-1185	396	37	…	…	PUNCT
iogr-1185	396	38	…	…	PUNCT
iogr-1185	396	39	…	…	SYM
iogr-1185	396	40	…	…	X
iogr-1185	396	41	(a15	(a15	NUM
iogr-1185	396	42	)	)	PUNCT
iogr-1185	396	43	thus	thus	ADV
iogr-1185	396	44	,	,	PUNCT
iogr-1185	396	45	22	22	NUM
iogr-1185	396	46	𝜙𝑐𝑝𝑐	𝜙𝑐𝑝𝑐	ADP
iogr-1185	396	47	𝜕𝜎	𝜕𝜎	NOUN
iogr-1185	396	48	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	396	49	=	=	SYM
iogr-1185	396	50	𝑏	𝑏	PRON
iogr-1185	396	51	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	396	52	𝜕𝜎	𝜕𝜎	NOUN
iogr-1185	396	53	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	396	54	=	=	SYM
iogr-1185	396	55	𝑏	𝑏	PRON
iogr-1185	396	56	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	396	57	𝜕𝜀𝑏−	𝜕𝜀𝑏−	PROPN
iogr-1185	397	1	𝑏	𝑏	DET
iogr-1185	397	2	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	397	3	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	397	4	1	1	NUM
iogr-1185	397	5	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	397	6	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	397	7	=	=	SYM
iogr-1185	397	8	𝑏	𝑏	NOUN
iogr-1185	397	9	𝜕𝜀𝑏	𝜕𝜀𝑏	PUNCT
iogr-1185	398	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	398	2	−	−	PROPN
iogr-1185	398	3	𝑏2	𝑏2	PROPN
iogr-1185	398	4	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	398	5	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	398	6	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	398	7	…	…	SYM
iogr-1185	398	8	…	…	PUNCT
iogr-1185	398	9	…	…	PUNCT
iogr-1185	398	10	…	…	PUNCT
iogr-1185	398	11	…	…	PUNCT
iogr-1185	398	12	......	......	PUNCT
iogr-1185	398	13	…	…	PUNCT
iogr-1185	398	14	…	…	PUNCT
iogr-1185	398	15	…	…	PUNCT
iogr-1185	398	16	…	…	PUNCT
iogr-1185	398	17	…	…	PUNCT
iogr-1185	398	18	…	…	PUNCT
iogr-1185	398	19	…	…	PUNCT
iogr-1185	398	20	…	…	PUNCT
iogr-1185	398	21	…	…	PUNCT
iogr-1185	398	22	…	…	PUNCT
iogr-1185	398	23	…	…	PUNCT
iogr-1185	398	24	…	…	PUNCT
iogr-1185	398	25	…	…	PUNCT
iogr-1185	398	26	…	…	PUNCT
iogr-1185	398	27	(	(	PUNCT
iogr-1185	398	28	a16	a16	PROPN
iogr-1185	398	29	)	)	PUNCT
iogr-1185	398	30	from	from	ADP
iogr-1185	398	31	eq	eq	NOUN
iogr-1185	398	32	.	.	PUNCT
iogr-1185	399	1	a8	a8	NOUN
iogr-1185	399	2	𝜙(𝑐𝑓	𝜙(𝑐𝑓	PROPN
iogr-1185	399	3	+	+	CCONJ
iogr-1185	399	4	𝑐𝑝𝑝	𝑐𝑝𝑝	ADJ
iogr-1185	399	5	)	)	PUNCT
iogr-1185	399	6	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	400	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	400	2	=	=	NOUN
iogr-1185	400	3	𝜙	𝜙	X
iogr-1185	400	4	(	(	PUNCT
iogr-1185	400	5	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	400	6	+	+	CCONJ
iogr-1185	401	1	𝑏	𝑏	NOUN
iogr-1185	401	2	𝜙𝐾𝑑	𝜙𝐾𝑑	ADJ
iogr-1185	401	3	−	−	PROPN
iogr-1185	401	4	1	1	NUM
iogr-1185	401	5	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	401	6	)	)	PUNCT
iogr-1185	401	7	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	401	8	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	401	9	,	,	PUNCT
iogr-1185	401	10	…	…	PUNCT
iogr-1185	401	11	..	..	PUNCT
iogr-1185	401	12	…	…	PUNCT
iogr-1185	401	13	…	…	PUNCT
iogr-1185	401	14	…	…	PUNCT
iogr-1185	401	15	…	…	PUNCT
iogr-1185	401	16	…	…	PUNCT
iogr-1185	401	17	…	…	PUNCT
iogr-1185	401	18	…	…	SYM
iogr-1185	401	19	.	.	NUM
iogr-1185	401	20	…	…	PUNCT
iogr-1185	401	21	…	…	PUNCT
iogr-1185	401	22	…	…	PUNCT
iogr-1185	401	23	…	…	PUNCT
iogr-1185	401	24	…	…	PUNCT
iogr-1185	401	25	…	…	PUNCT
iogr-1185	401	26	…	…	PUNCT
iogr-1185	401	27	…	…	PUNCT
iogr-1185	401	28	…	…	PUNCT
iogr-1185	401	29	…	…	PUNCT
iogr-1185	401	30	…	…	PUNCT
iogr-1185	401	31	…	…	PUNCT
iogr-1185	401	32	…	…	PUNCT
iogr-1185	401	33	…	…	SYM
iogr-1185	401	34	.(a17	.(a17	NOUN
iogr-1185	401	35	)	)	PUNCT
iogr-1185	401	36	∇(𝜌𝑓𝒗𝑓	∇(𝜌𝑓𝒗𝑓	NOUN
iogr-1185	401	37	)	)	PUNCT
iogr-1185	401	38	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	401	39	=	=	SYM
iogr-1185	401	40	∇𝒗𝑓	∇𝒗𝑓	PROPN
iogr-1185	402	1	+	+	CCONJ
iogr-1185	402	2	𝒗𝑓	𝒗𝑓	PROPN
iogr-1185	402	3	∇(𝜌𝑓	∇(𝜌𝑓	NOUN
iogr-1185	402	4	)	)	PUNCT
iogr-1185	402	5	𝜌𝑓	𝜌𝑓	NOUN
iogr-1185	403	1	=	=	SYM
iogr-1185	403	2	∇𝒗𝑓	∇𝒗𝑓	PROPN
iogr-1185	403	3	+	+	CCONJ
iogr-1185	403	4	𝒗𝑓𝑐𝑓∇𝑝	𝒗𝑓𝑐𝑓∇𝑝	PROPN
iogr-1185	403	5	…	…	SYM
iogr-1185	403	6	…	…	PUNCT
iogr-1185	403	7	…	…	PUNCT
iogr-1185	403	8	…	…	PUNCT
iogr-1185	403	9	…	…	PUNCT
iogr-1185	403	10	…	…	PUNCT
iogr-1185	403	11	…	…	PUNCT
iogr-1185	403	12	…	…	PUNCT
iogr-1185	403	13	…	…	PUNCT
iogr-1185	403	14	…	…	PUNCT
iogr-1185	403	15	…	…	PUNCT
iogr-1185	403	16	…	…	PUNCT
iogr-1185	403	17	…	…	PUNCT
iogr-1185	403	18	…	…	PUNCT
iogr-1185	403	19	…	…	PUNCT
iogr-1185	403	20	…	…	PUNCT
iogr-1185	403	21	…	…	PUNCT
iogr-1185	403	22	…	…	PUNCT
iogr-1185	403	23	…	…	PUNCT
iogr-1185	403	24	…	…	PUNCT
iogr-1185	403	25	…	…	SYM
iogr-1185	403	26	…	…	X
iogr-1185	403	27	(a18	(a18	X
iogr-1185	403	28	)	)	PUNCT
iogr-1185	403	29	substituting	substitute	VERB
iogr-1185	403	30	eq	eq	PROPN
iogr-1185	403	31	.	.	PROPN
iogr-1185	403	32	a16	a16	PROPN
iogr-1185	403	33	through	through	ADP
iogr-1185	403	34	a18	a18	PROPN
iogr-1185	403	35	into	into	ADP
iogr-1185	403	36	eq	eq	PROPN
iogr-1185	403	37	.	.	PROPN
iogr-1185	403	38	a14	a14	PROPN
iogr-1185	403	39	𝑏	𝑏	PROPN
iogr-1185	403	40	𝜕𝜀𝑏	𝜕𝜀𝑏	PUNCT
iogr-1185	404	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	404	2	+	+	PROPN
iogr-1185	405	1	[	[	X
iogr-1185	405	2	𝜙	𝜙	X
iogr-1185	405	3	(	(	PUNCT
iogr-1185	405	4	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	405	5	+	+	CCONJ
iogr-1185	405	6	𝑏	𝑏	NOUN
iogr-1185	405	7	𝜙𝐾𝑑	𝜙𝐾𝑑	ADJ
iogr-1185	405	8	−	−	PROPN
iogr-1185	405	9	1	1	NUM
iogr-1185	405	10	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	405	11	)	)	PUNCT
iogr-1185	405	12	−	−	PROPN
iogr-1185	405	13	𝑏2	𝑏2	PROPN
iogr-1185	405	14	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	405	15	]	]	PUNCT
iogr-1185	405	16	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	406	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	406	2	+	+	CCONJ
iogr-1185	406	3	∇𝒗𝑓	∇𝒗𝑓	ADJ
iogr-1185	407	1	+	+	CCONJ
iogr-1185	407	2	𝒗𝑓𝑐𝑓∇𝑝	𝒗𝑓𝑐𝑓∇𝑝	NOUN
iogr-1185	407	3	=	=	SYM
iogr-1185	407	4	𝑞	𝑞	X
iogr-1185	407	5	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	X
iogr-1185	407	6	…	…	PUNCT
iogr-1185	407	7	…	…	PUNCT
iogr-1185	407	8	…	…	SYM
iogr-1185	407	9	....	....	PUNCT
iogr-1185	407	10	…	…	PUNCT
iogr-1185	407	11	…	…	PUNCT
iogr-1185	407	12	…	…	PUNCT
iogr-1185	407	13	…	…	PUNCT
iogr-1185	407	14	…	…	PUNCT
iogr-1185	407	15	…	…	PUNCT
iogr-1185	407	16	…	…	PUNCT
iogr-1185	407	17	…	…	PUNCT
iogr-1185	407	18	…	…	PUNCT
iogr-1185	407	19	…	…	PUNCT
iogr-1185	407	20	.(a19	.(a19	PUNCT
iogr-1185	407	21	)	)	PUNCT
iogr-1185	407	22	in	in	ADP
iogr-1185	407	23	eq	eq	PROPN
iogr-1185	407	24	.	.	PROPN
iogr-1185	408	1	a19	a19	PROPN
iogr-1185	408	2	𝜙	𝜙	PROPN
iogr-1185	408	3	(	(	PUNCT
iogr-1185	408	4	𝑐𝑓	𝑐𝑓	ADP
iogr-1185	408	5	+	+	CCONJ
iogr-1185	409	1	𝑏	𝑏	NOUN
iogr-1185	409	2	𝜙𝐾𝑑	𝜙𝐾𝑑	ADJ
iogr-1185	409	3	−	−	PROPN
iogr-1185	409	4	1	1	NUM
iogr-1185	409	5	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	409	6	)	)	PUNCT
iogr-1185	409	7	−	−	PROPN
iogr-1185	409	8	𝑏2	𝑏2	PROPN
iogr-1185	409	9	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	409	10	=	=	PUNCT
iogr-1185	409	11	𝜙𝑐𝑓	𝜙𝑐𝑓	PROPN
iogr-1185	409	12	+	+	CCONJ
iogr-1185	409	13	𝑏(1−𝑏	𝑏(1−𝑏	NOUN
iogr-1185	409	14	)	)	PUNCT
iogr-1185	410	1	𝐾𝑑	𝐾𝑑	NOUN
iogr-1185	410	2	−	−	NOUN
iogr-1185	410	3	𝜙	𝜙	X
iogr-1185	411	1	𝐾𝑠	𝐾𝑠	NOUN
iogr-1185	411	2	=	=	PUNCT
iogr-1185	411	3	𝜙𝑐𝑓	𝜙𝑐𝑓	NOUN
iogr-1185	411	4	+	+	CCONJ
iogr-1185	411	5	𝑏	𝑏	X
iogr-1185	411	6	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	411	7	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	411	8	𝐾𝑑	𝐾𝑑	PROPN
iogr-1185	411	9	−	−	NOUN
iogr-1185	411	10	𝜙	𝜙	X
iogr-1185	411	11	𝐾𝑠	𝐾𝑠	NOUN
iogr-1185	411	12	=	=	PUNCT
iogr-1185	411	13	𝜙𝑐𝑓	𝜙𝑐𝑓	NOUN
iogr-1185	412	1	+	+	PUNCT
iogr-1185	412	2	𝑏−𝜙	𝑏−𝜙	NOUN
iogr-1185	412	3	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	412	4	...	...	PUNCT
iogr-1185	412	5	…	…	PUNCT
iogr-1185	412	6	..	..	PUNCT
iogr-1185	412	7	…	…	PUNCT
iogr-1185	412	8	…	…	PUNCT
iogr-1185	412	9	…	…	PUNCT
iogr-1185	412	10	…	…	PUNCT
iogr-1185	412	11	…	…	PUNCT
iogr-1185	412	12	…	…	PUNCT
iogr-1185	412	13	(	(	PUNCT
iogr-1185	412	14	a20	a20	NOUN
iogr-1185	412	15	)	)	PUNCT
iogr-1185	412	16	let	let	VERB
iogr-1185	412	17	1	1	NUM
iogr-1185	412	18	𝑀	𝑀	NOUN
iogr-1185	412	19	=	=	PUNCT
iogr-1185	412	20	𝜙𝑐𝑓	𝜙𝑐𝑓	PROPN
iogr-1185	412	21	+	+	PUNCT
iogr-1185	412	22	𝑏−𝜙	𝑏−𝜙	NOUN
iogr-1185	412	23	𝐾𝑠	𝐾𝑠	PROPN
iogr-1185	412	24	…	…	PUNCT
iogr-1185	412	25	.	.	NUM
iogr-1185	413	1	…	…	PUNCT
iogr-1185	413	2	…	…	PUNCT
iogr-1185	413	3	…	…	PUNCT
iogr-1185	413	4	…	…	PUNCT
iogr-1185	413	5	…	…	PUNCT
iogr-1185	413	6	…	…	PUNCT
iogr-1185	413	7	…	…	PUNCT
iogr-1185	413	8	…	…	PUNCT
iogr-1185	413	9	…	…	PUNCT
iogr-1185	413	10	…	…	PUNCT
iogr-1185	413	11	…	…	PUNCT
iogr-1185	413	12	…	…	PUNCT
iogr-1185	413	13	…	…	PUNCT
iogr-1185	413	14	…	…	PUNCT
iogr-1185	413	15	…	…	PUNCT
iogr-1185	413	16	…	…	PUNCT
iogr-1185	413	17	…	…	PUNCT
iogr-1185	413	18	…	…	PUNCT
iogr-1185	413	19	…	…	PUNCT
iogr-1185	413	20	…	…	PUNCT
iogr-1185	413	21	…	…	PUNCT
iogr-1185	413	22	…	…	PUNCT
iogr-1185	413	23	…	…	PUNCT
iogr-1185	413	24	…	…	PUNCT
iogr-1185	413	25	…	…	PUNCT
iogr-1185	413	26	…	…	PUNCT
iogr-1185	413	27	…	…	PUNCT
iogr-1185	413	28	…	…	PUNCT
iogr-1185	413	29	…	…	PUNCT
iogr-1185	413	30	…	…	PUNCT
iogr-1185	413	31	…	…	PUNCT
iogr-1185	413	32	...	...	PUNCT
iogr-1185	413	33	(a21	(a21	X
iogr-1185	413	34	)	)	PUNCT
iogr-1185	414	1	eq	eq	NOUN
iogr-1185	414	2	.	.	PROPN
iogr-1185	415	1	a19	a19	PROPN
iogr-1185	415	2	can	can	AUX
iogr-1185	415	3	be	be	AUX
iogr-1185	415	4	finally	finally	ADV
iogr-1185	415	5	simplified	simplify	VERB
iogr-1185	415	6	as	as	ADP
iogr-1185	415	7	𝑏	𝑏	PROPN
iogr-1185	415	8	𝜕𝜀𝑏	𝜕𝜀𝑏	X
iogr-1185	415	9	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	415	10	+	+	NOUN
iogr-1185	415	11	1	1	NUM
iogr-1185	415	12	𝑀	𝑀	PROPN
iogr-1185	415	13	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	415	14	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	415	15	+	+	CCONJ
iogr-1185	415	16	∇𝒗𝑓	∇𝒗𝑓	ADJ
iogr-1185	416	1	+	+	CCONJ
iogr-1185	416	2	𝒗𝑓𝑐𝑓∇𝑝	𝒗𝑓𝑐𝑓∇𝑝	NOUN
iogr-1185	416	3	=	=	SYM
iogr-1185	416	4	𝑞	𝑞	X
iogr-1185	416	5	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	X
iogr-1185	416	6	…	…	PUNCT
iogr-1185	416	7	…	…	PUNCT
iogr-1185	416	8	…	…	PUNCT
iogr-1185	416	9	...	...	PUNCT
iogr-1185	416	10	…	…	PUNCT
iogr-1185	416	11	…	…	PUNCT
iogr-1185	416	12	…	…	PUNCT
iogr-1185	416	13	…	…	PUNCT
iogr-1185	416	14	…	…	PUNCT
iogr-1185	416	15	…	…	PUNCT
iogr-1185	416	16	…	…	PUNCT
iogr-1185	416	17	…	…	PUNCT
iogr-1185	416	18	…	…	PUNCT
iogr-1185	416	19	..	..	PUNCT
iogr-1185	416	20	…	…	PUNCT
iogr-1185	416	21	…	…	PUNCT
iogr-1185	416	22	…	…	PUNCT
iogr-1185	416	23	…	…	PUNCT
iogr-1185	416	24	…	…	PUNCT
iogr-1185	416	25	…	…	PUNCT
iogr-1185	416	26	…	…	PUNCT
iogr-1185	416	27	…	…	PUNCT
iogr-1185	416	28	…	…	PUNCT
iogr-1185	416	29	…	…	PUNCT
iogr-1185	416	30	…	…	PUNCT
iogr-1185	416	31	(	(	PUNCT
iogr-1185	416	32	a22	a22	PROPN
iogr-1185	416	33	)	)	PUNCT
iogr-1185	416	34	based	base	VERB
iogr-1185	416	35	on	on	ADP
iogr-1185	416	36	darcy	darcy	PROPN
iogr-1185	416	37	’s	’s	PART
iogr-1185	416	38	law	law	NOUN
iogr-1185	416	39	𝒗𝑓	𝒗𝑓	NOUN
iogr-1185	416	40	=	=	SYM
iogr-1185	416	41	−	−	PROPN
iogr-1185	416	42	𝐾	𝐾	PROPN
iogr-1185	416	43	𝜇	𝜇	X
iogr-1185	416	44	(	(	PUNCT
iogr-1185	416	45	∇𝐩	∇𝐩	VERB
iogr-1185	416	46	−	−	NUM
iogr-1185	416	47	𝜌𝑓𝒈)	𝜌𝑓𝒈)	NOUN
iogr-1185	416	48	…	…	SYM
iogr-1185	416	49	…	…	PUNCT
iogr-1185	416	50	…	…	PUNCT
iogr-1185	416	51	…	…	PUNCT
iogr-1185	416	52	…	…	PUNCT
iogr-1185	416	53	…	…	PUNCT
iogr-1185	416	54	…	…	PUNCT
iogr-1185	416	55	…	…	PUNCT
iogr-1185	416	56	…	…	PUNCT
iogr-1185	416	57	…	…	PUNCT
iogr-1185	416	58	…	…	PUNCT
iogr-1185	416	59	…	…	PUNCT
iogr-1185	416	60	…	…	PUNCT
iogr-1185	416	61	…	…	PUNCT
iogr-1185	416	62	…	…	PUNCT
iogr-1185	416	63	…	…	PUNCT
iogr-1185	416	64	…	…	PUNCT
iogr-1185	416	65	…	…	PUNCT
iogr-1185	416	66	…	…	PUNCT
iogr-1185	416	67	…	…	PUNCT
iogr-1185	416	68	…	…	PUNCT
iogr-1185	416	69	…	…	PUNCT
iogr-1185	416	70	…	…	PUNCT
iogr-1185	416	71	…	…	PUNCT
iogr-1185	416	72	…	…	PUNCT
iogr-1185	416	73	…	…	PUNCT
iogr-1185	416	74	…	…	PUNCT
iogr-1185	416	75	…	…	PUNCT
iogr-1185	416	76	…	…	PUNCT
iogr-1185	416	77	…	…	PUNCT
iogr-1185	416	78	(a23	(a23	SYM
iogr-1185	416	79	)	)	PUNCT
iogr-1185	416	80	eq	eq	NOUN
iogr-1185	416	81	.	.	PROPN
iogr-1185	416	82	a22	a22	PROPN
iogr-1185	416	83	can	can	AUX
iogr-1185	416	84	be	be	AUX
iogr-1185	416	85	expressed	express	VERB
iogr-1185	416	86	as	as	ADP
iogr-1185	416	87	𝑏	𝑏	PROPN
iogr-1185	416	88	𝜕𝜀𝑏	𝜕𝜀𝑏	X
iogr-1185	416	89	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	416	90	+	+	NOUN
iogr-1185	416	91	1	1	NUM
iogr-1185	416	92	𝑀	𝑀	PROPN
iogr-1185	416	93	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	417	1	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	417	2	=	=	NOUN
iogr-1185	417	3	𝑞	𝑞	X
iogr-1185	417	4	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	NOUN
iogr-1185	417	5	+	+	CCONJ
iogr-1185	417	6	∇	∇	X
iogr-1185	417	7	[	[	PUNCT
iogr-1185	417	8	𝐾	𝐾	PROPN
iogr-1185	417	9	𝜇	𝜇	X
iogr-1185	417	10	(	(	PUNCT
iogr-1185	417	11	∇𝐩	∇𝐩	VERB
iogr-1185	417	12	−	−	PROPN
iogr-1185	417	13	𝜌𝑓𝒈	𝜌𝑓𝒈	NOUN
iogr-1185	417	14	)	)	PUNCT
iogr-1185	417	15	]	]	PUNCT
iogr-1185	418	1	+	+	CCONJ
iogr-1185	418	2	𝐾	𝐾	PROPN
iogr-1185	418	3	𝜇	𝜇	X
iogr-1185	418	4	(	(	PUNCT
iogr-1185	418	5	∇𝐩	∇𝐩	VERB
iogr-1185	418	6	−	−	NOUN
iogr-1185	418	7	𝜌𝑓𝒈)𝑐𝑓∇𝑝,	𝜌𝑓𝒈)𝑐𝑓∇𝑝,	NUM
iogr-1185	418	8	...	...	PUNCT
iogr-1185	418	9	…	…	PUNCT
iogr-1185	418	10	…	…	PUNCT
iogr-1185	418	11	…	…	PUNCT
iogr-1185	418	12	…	…	PUNCT
iogr-1185	418	13	…	…	PUNCT
iogr-1185	418	14	..	..	PUNCT
iogr-1185	418	15	…	…	PUNCT
iogr-1185	418	16	…	…	PUNCT
iogr-1185	418	17	…	…	PUNCT
iogr-1185	418	18	…	…	PUNCT
iogr-1185	418	19	…	…	PUNCT
iogr-1185	418	20	…	…	PUNCT
iogr-1185	418	21	…	…	SYM
iogr-1185	418	22	.(a24	.(a24	SYM
iogr-1185	418	23	)	)	PUNCT
iogr-1185	419	1	𝐾	𝐾	PROPN
iogr-1185	419	2	𝜇	𝜇	X
iogr-1185	419	3	(	(	PUNCT
iogr-1185	419	4	∇𝐩	∇𝐩	VERB
iogr-1185	419	5	−	−	NOUN
iogr-1185	419	6	𝜌𝑓𝒈)𝑐𝑓∇𝑝	𝜌𝑓𝒈)𝑐𝑓∇𝑝	NOUN
iogr-1185	419	7	is	be	AUX
iogr-1185	419	8	negligible	negligible	ADJ
iogr-1185	419	9	as	as	SCONJ
iogr-1185	419	10	it	it	PRON
iogr-1185	419	11	is	be	AUX
iogr-1185	419	12	a	a	DET
iogr-1185	419	13	second	second	ADJ
iogr-1185	419	14	derivative	derivative	NOUN
iogr-1185	419	15	.	.	PUNCT
iogr-1185	420	1	thus	thus	ADV
iogr-1185	420	2	,	,	PUNCT
iogr-1185	420	3	the	the	DET
iogr-1185	420	4	governing	govern	VERB
iogr-1185	420	5	equation	equation	NOUN
iogr-1185	420	6	of	of	ADP
iogr-1185	420	7	fluid	fluid	ADJ
iogr-1185	420	8	flow	flow	NOUN
iogr-1185	420	9	can	can	AUX
iogr-1185	420	10	be	be	AUX
iogr-1185	420	11	expressed	express	VERB
iogr-1185	420	12	as	as	ADP
iogr-1185	420	13	𝑏	𝑏	PROPN
iogr-1185	420	14	𝜕𝜀𝑏	𝜕𝜀𝑏	X
iogr-1185	420	15	𝜕𝑡	𝜕𝑡	PROPN
iogr-1185	420	16	+	+	NOUN
iogr-1185	420	17	1	1	NUM
iogr-1185	420	18	𝑀	𝑀	PROPN
iogr-1185	420	19	𝜕𝑝	𝜕𝑝	NOUN
iogr-1185	420	20	𝜕𝑡	𝜕𝑡	NOUN
iogr-1185	421	1	=	=	NOUN
iogr-1185	421	2	𝑞	𝑞	X
iogr-1185	421	3	𝜌𝑓𝑉𝑏	𝜌𝑓𝑉𝑏	NOUN
iogr-1185	421	4	+	+	CCONJ
iogr-1185	421	5	∇	∇	X
iogr-1185	421	6	[	[	PUNCT
iogr-1185	421	7	𝐾	𝐾	PROPN
iogr-1185	421	8	𝜇	𝜇	X
iogr-1185	421	9	(	(	PUNCT
iogr-1185	421	10	∇𝐩	∇𝐩	VERB
iogr-1185	421	11	−	−	NOUN
iogr-1185	421	12	𝜌𝑓𝒈)]	𝜌𝑓𝒈)]	NOUN
iogr-1185	421	13	…	…	X
iogr-1185	421	14	…	…	PUNCT
iogr-1185	421	15	…	…	PUNCT
iogr-1185	421	16	…	…	PUNCT
iogr-1185	421	17	...	...	PUNCT
iogr-1185	421	18	…	…	PUNCT
iogr-1185	421	19	…	…	PUNCT
iogr-1185	421	20	…	…	PUNCT
iogr-1185	421	21	…	…	PUNCT
iogr-1185	421	22	…	…	PUNCT
iogr-1185	421	23	…	…	PUNCT
iogr-1185	421	24	…	…	PUNCT
iogr-1185	421	25	…	…	PUNCT
iogr-1185	421	26	..	..	PUNCT
iogr-1185	421	27	…	…	PUNCT
iogr-1185	421	28	…	…	PUNCT
iogr-1185	421	29	…	…	PUNCT
iogr-1185	421	30	…	…	PUNCT
iogr-1185	421	31	…	…	PUNCT
iogr-1185	421	32	…	…	PUNCT
iogr-1185	421	33	…	…	PUNCT
iogr-1185	421	34	…	…	PUNCT
iogr-1185	421	35	…	…	PUNCT
iogr-1185	421	36	...	...	PUNCT
iogr-1185	421	37	(a25	(a25	SYM
iogr-1185	421	38	)	)	PUNCT
iogr-1185	422	1	cheng	cheng	PROPN
iogr-1185	422	2	dai	dai	PROPN
iogr-1185	422	3	is	be	AUX
iogr-1185	422	4	a	a	DET
iogr-1185	422	5	senior	senior	ADJ
iogr-1185	422	6	engineer	engineer	NOUN
iogr-1185	422	7	in	in	ADP
iogr-1185	422	8	petroleum	petroleum	NOUN
iogr-1185	422	9	exploration	exploration	NOUN
iogr-1185	422	10	and	and	CCONJ
iogr-1185	422	11	development	development	NOUN
iogr-1185	422	12	research	research	PROPN
iogr-1185	422	13	institute	institute	PROPN
iogr-1185	422	14	,	,	PUNCT
iogr-1185	422	15	sinopec	sinopec	PROPN
iogr-1185	422	16	.	.	PUNCT
iogr-1185	423	1	dr	dr	PROPN
iogr-1185	423	2	.	.	PROPN
iogr-1185	423	3	dai	dai	PROPN
iogr-1185	423	4	holds	hold	VERB
iogr-1185	423	5	a	a	DET
iogr-1185	423	6	bachelor	bachelor	NOUN
iogr-1185	423	7	's	's	PART
iogr-1185	423	8	degree	degree	NOUN
iogr-1185	423	9	and	and	CCONJ
iogr-1185	423	10	a	a	DET
iogr-1185	423	11	ph.d	ph.d	PROPN
iogr-1185	423	12	.	.	PUNCT
iogr-1185	423	13	degree	degree	NOUN
iogr-1185	423	14	from	from	ADP
iogr-1185	423	15	peking	peking	PROPN
iogr-1185	423	16	university	university	NOUN
iogr-1185	423	17	.	.	PUNCT
iogr-1185	424	1	his	his	PRON
iogr-1185	424	2	research	research	NOUN
iogr-1185	424	3	interest	interest	NOUN
iogr-1185	424	4	includes	include	VERB
iogr-1185	424	5	numerical	numerical	ADJ
iogr-1185	424	6	simulation	simulation	NOUN
iogr-1185	424	7	and	and	CCONJ
iogr-1185	424	8	shale	shale	NOUN
iogr-1185	424	9	gas	gas	NOUN
iogr-1185	424	10	development	development	NOUN
iogr-1185	424	11	.	.	PUNCT
iogr-1185	425	1	zhenzhen	zhenzhen	PROPN
iogr-1185	425	2	dong	dong	PROPN
iogr-1185	425	3	is	be	AUX
iogr-1185	425	4	a	a	DET
iogr-1185	425	5	professor	professor	NOUN
iogr-1185	425	6	in	in	ADP
iogr-1185	425	7	the	the	DET
iogr-1185	425	8	department	department	NOUN
iogr-1185	425	9	of	of	ADP
iogr-1185	425	10	petroleum	petroleum	NOUN
iogr-1185	425	11	engineering	engineering	NOUN
iogr-1185	425	12	at	at	ADP
iogr-1185	425	13	xi’an	xi’an	PROPN
iogr-1185	425	14	shiyou	shiyou	PROPN
iogr-1185	425	15	university	university	PROPN
iogr-1185	425	16	.	.	PUNCT
iogr-1185	426	1	she	she	PRON
iogr-1185	426	2	worked	work	VERB
iogr-1185	426	3	as	as	ADP
iogr-1185	426	4	a	a	DET
iogr-1185	426	5	reservoir	reservoir	NOUN
iogr-1185	426	6	engineer	engineer	NOUN
iogr-1185	426	7	at	at	ADP
iogr-1185	426	8	schlumberger	schlumberger	NOUN
iogr-1185	426	9	from	from	ADP
iogr-1185	426	10	2012	2012	NUM
iogr-1185	426	11	to	to	ADP
iogr-1185	426	12	2016	2016	NUM
iogr-1185	426	13	.	.	PUNCT
iogr-1185	427	1	dong	dong	PROPN
iogr-1185	427	2	holds	hold	VERB
iogr-1185	427	3	a	a	DET
iogr-1185	427	4	bachelor	bachelor	NOUN
iogr-1185	427	5	’s	’s	PART
iogr-1185	427	6	degree	degree	NOUN
iogr-1185	427	7	in	in	ADP
iogr-1185	427	8	mathematics	mathematic	NOUN
iogr-1185	427	9	from	from	ADP
iogr-1185	427	10	northeast	northeast	ADJ
iogr-1185	427	11	petroleum	petroleum	NOUN
iogr-1185	427	12	university	university	NOUN
iogr-1185	427	13	,	,	PUNCT
iogr-1185	427	14	china	china	PROPN
iogr-1185	427	15	;	;	PUNCT
iogr-1185	427	16	a	a	DET
iogr-1185	427	17	master	master	NOUN
iogr-1185	427	18	’s	’s	PART
iogr-1185	427	19	degree	degree	NOUN
iogr-1185	427	20	in	in	ADP
iogr-1185	427	21	petroleum	petroleum	NOUN
iogr-1185	427	22	engineering	engineering	NOUN
iogr-1185	427	23	from	from	ADP
iogr-1185	427	24	the	the	DET
iogr-1185	427	25	research	research	PROPN
iogr-1185	427	26	institute	institute	PROPN
iogr-1185	427	27	of	of	ADP
iogr-1185	427	28	petroleum	petroleum	NOUN
iogr-1185	427	29	exploration	exploration	NOUN
iogr-1185	427	30	and	and	CCONJ
iogr-1185	427	31	development	development	NOUN
iogr-1185	427	32	,	,	PUNCT
iogr-1185	427	33	china	china	PROPN
iogr-1185	427	34	;	;	PUNCT
iogr-1185	427	35	and	and	CCONJ
iogr-1185	427	36	a	a	DET
iogr-1185	427	37	ph.d	ph.d	PROPN
iogr-1185	427	38	.	.	PUNCT
iogr-1185	427	39	degree	degree	NOUN
iogr-1185	427	40	in	in	ADP
iogr-1185	427	41	petroleum	petroleum	NOUN
iogr-1185	427	42	engineering	engineering	NOUN
iogr-1185	427	43	from	from	ADP
iogr-1185	427	44	texas	texas	PROPN
iogr-1185	427	45	a&m	a&m	PROPN
iogr-1185	427	46	university	university	PROPN
iogr-1185	427	47	.	.	PUNCT
iogr-1185	428	1	xiang	xiang	PROPN
iogr-1185	428	2	li	li	PROPN
iogr-1185	428	3	is	be	AUX
iogr-1185	428	4	the	the	DET
iogr-1185	428	5	technical	technical	ADJ
iogr-1185	428	6	director	director	NOUN
iogr-1185	428	7	of	of	ADP
iogr-1185	428	8	beijing	beijing	PROPN
iogr-1185	428	9	energy	energy	NOUN
iogr-1185	428	10	innovation	innovation	NOUN
iogr-1185	428	11	software	software	NOUN
iogr-1185	428	12	company	company	NOUN
iogr-1185	428	13	.	.	PUNCT
iogr-1185	429	1	his	his	PRON
iogr-1185	429	2	work	work	NOUN
iogr-1185	429	3	includes	include	VERB
iogr-1185	429	4	scientific	scientific	ADJ
iogr-1185	429	5	computing	computing	NOUN
iogr-1185	429	6	,	,	PUNCT
iogr-1185	429	7	fracture	fracture	NOUN
iogr-1185	429	8	modeling	modeling	NOUN
iogr-1185	429	9	,	,	PUNCT
iogr-1185	429	10	and	and	CCONJ
iogr-1185	429	11	reservoir	reservoir	PROPN
iogr-1185	429	12	simulator	simulator	PROPN
iogr-1185	429	13	development	development	PROPN
iogr-1185	429	14	.	.	PUNCT
iogr-1185	430	1	dr	dr	PROPN
iogr-1185	430	2	.	.	PROPN
iogr-1185	430	3	li	li	PROPN
iogr-1185	430	4	holds	hold	VERB
iogr-1185	430	5	a	a	DET
iogr-1185	430	6	bachelor	bachelor	NOUN
iogr-1185	430	7	’s	’s	NOUN
iogr-1185	430	8	degree	degree	NOUN
iogr-1185	430	9	and	and	CCONJ
iogr-1185	430	10	a	a	DET
iogr-1185	430	11	phd	phd	NOUN
iogr-1185	430	12	degree	degree	NOUN
iogr-1185	430	13	from	from	ADP
iogr-1185	430	14	peking	peke	VERB
iogr-1185	430	15	univerisy	univerisy	ADJ
iogr-1185	430	16	.	.	PUNCT
iogr-1185	431	1	23	23	NUM
iogr-1185	431	2	weidong	weidong	PROPN
iogr-1185	431	3	tian	tian	PROPN
iogr-1185	431	4	is	be	AUX
iogr-1185	431	5	a	a	DET
iogr-1185	431	6	master	master	NOUN
iogr-1185	431	7	's	's	PART
iogr-1185	431	8	candidate	candidate	NOUN
iogr-1185	431	9	in	in	ADP
iogr-1185	431	10	the	the	DET
iogr-1185	431	11	department	department	NOUN
iogr-1185	431	12	of	of	ADP
iogr-1185	431	13	petroleum	petroleum	NOUN
iogr-1185	431	14	engineering	engineering	NOUN
iogr-1185	431	15	at	at	ADP
iogr-1185	431	16	xi’an	xi’an	PROPN
iogr-1185	431	17	shiyou	shiyou	PROPN
iogr-1185	431	18	university	university	PROPN
iogr-1185	431	19	.	.	PUNCT
iogr-1185	432	1	he	he	PRON
iogr-1185	432	2	has	have	AUX
iogr-1185	432	3	focused	focus	VERB
iogr-1185	432	4	his	his	PRON
iogr-1185	432	5	research	research	NOUN
iogr-1185	432	6	in	in	ADP
iogr-1185	432	7	areas	area	NOUN
iogr-1185	432	8	involving	involve	VERB
iogr-1185	432	9	reservoir	reservoir	PROPN
iogr-1185	432	10	simulation	simulation	NOUN
iogr-1185	432	11	,	,	PUNCT
iogr-1185	432	12	well	well	INTJ
iogr-1185	432	13	testing	testing	NOUN
iogr-1185	432	14	,	,	PUNCT
iogr-1185	432	15	and	and	CCONJ
iogr-1185	432	16	production	production	NOUN
iogr-1185	432	17	analysis	analysis	NOUN
iogr-1185	432	18	.	.	PUNCT
iogr-1185	433	1	tian	tian	PROPN
iogr-1185	433	2	holds	hold	VERB
iogr-1185	433	3	a	a	DET
iogr-1185	433	4	bs	bs	NOUN
iogr-1185	433	5	degree	degree	NOUN
iogr-1185	433	6	in	in	ADP
iogr-1185	433	7	petroleum	petroleum	NOUN
iogr-1185	433	8	engineering	engineering	NOUN
iogr-1185	433	9	from	from	ADP
iogr-1185	433	10	xi’an	xi’an	PROPN
iogr-1185	433	11	shiyou	shiyou	PROPN
iogr-1185	433	12	university	university	PROPN
iogr-1185	433	13	.	.	PUNCT