id	sid	tid	token	lemma	pos
iogr-427	1	1	copyright	copyright	NOUN
iogr-427	1	2	©	©	ADP
iogr-427	1	3	the	the	DET
iogr-427	1	4	author(s	author(s	NOUN
iogr-427	1	5	)	)	PUNCT
iogr-427	1	6	.	.	PUNCT
iogr-427	2	1	this	this	DET
iogr-427	2	2	work	work	NOUN
iogr-427	2	3	is	be	AUX
iogr-427	2	4	licensed	license	VERB
iogr-427	2	5	under	under	ADP
iogr-427	2	6	a	a	DET
iogr-427	2	7	creative	creative	ADJ
iogr-427	2	8	commons	common	NOUN
iogr-427	2	9	attribution	attribution	NOUN
iogr-427	2	10	4.0	4.0	NUM
iogr-427	2	11	international	international	ADJ
iogr-427	2	12	license	license	NOUN
iogr-427	2	13	.	.	PUNCT
iogr-427	3	1	doi	doi	NOUN
iogr-427	3	2	:	:	PUNCT
iogr-427	3	3	10.14800	10.14800	NUM
iogr-427	3	4	/	/	SYM
iogr-427	3	5	iogr.427	iogr.427	NOUN
iogr-427	3	6	received	receive	VERB
iogr-427	3	7	february	february	PROPN
iogr-427	3	8	25	25	NUM
iogr-427	3	9	,	,	PUNCT
iogr-427	3	10	2018	2018	NUM
iogr-427	3	11	;	;	PUNCT
iogr-427	3	12	revised	revise	VERB
iogr-427	3	13	march	march	PROPN
iogr-427	3	14	17	17	NUM
iogr-427	3	15	,	,	PUNCT
iogr-427	3	16	2018	2018	NUM
iogr-427	3	17	;	;	PUNCT
iogr-427	3	18	accepted	accept	VERB
iogr-427	3	19	march	march	PROPN
iogr-427	3	20	24	24	NUM
iogr-427	3	21	,	,	PUNCT
iogr-427	3	22	2018	2018	NUM
iogr-427	3	23	.	.	PUNCT
iogr-427	4	1	*	*	PUNCT
iogr-427	4	2	corresponding	correspond	VERB
iogr-427	4	3	author	author	NOUN
iogr-427	4	4	:	:	PUNCT
iogr-427	4	5	shuailiu15@gmail.com	shuailiu15@gmail.com	X
iogr-427	4	6	1	1	NUM
iogr-427	4	7	a	a	DET
iogr-427	4	8	markov	markov	NOUN
iogr-427	4	9	-	-	PUNCT
iogr-427	4	10	chain	chain	NOUN
iogr-427	4	11	-	-	PUNCT
iogr-427	4	12	based	base	VERB
iogr-427	4	13	method	method	NOUN
iogr-427	4	14	to	to	PART
iogr-427	4	15	characterize	characterize	VERB
iogr-427	4	16	anomalous	anomalous	ADJ
iogr-427	4	17	diffusion	diffusion	NOUN
iogr-427	4	18	phenomenon	phenomenon	NOUN
iogr-427	4	19	in	in	ADP
iogr-427	4	20	unconventional	unconventional	ADJ
iogr-427	4	21	reservoir	reservoir	PROPN
iogr-427	4	22	shuai	shuai	PROPN
iogr-427	4	23	liu	liu	PROPN
iogr-427	4	24	*	*	PROPN
iogr-427	4	25	,	,	PUNCT
iogr-427	4	26	texas	texas	PROPN
iogr-427	4	27	a&m	a&m	PROPN
iogr-427	4	28	university	university	PROPN
iogr-427	4	29	,	,	PUNCT
iogr-427	4	30	college	college	NOUN
iogr-427	4	31	station	station	NOUN
iogr-427	4	32	,	,	PUNCT
iogr-427	4	33	usa	usa	PROPN
iogr-427	4	34	;	;	PUNCT
iogr-427	4	35	han	han	PROPN
iogr-427	4	36	li	li	PROPN
iogr-427	4	37	,	,	PUNCT
iogr-427	4	38	cgg	cgg	PROPN
iogr-427	4	39	,	,	PUNCT
iogr-427	4	40	houston	houston	PROPN
iogr-427	4	41	,	,	PUNCT
iogr-427	4	42	usa	usa	PROPN
iogr-427	4	43	;	;	PUNCT
iogr-427	4	44	and	and	CCONJ
iogr-427	4	45	peter	peter	PROPN
iogr-427	4	46	p.	p.	PROPN
iogr-427	4	47	valkó	valkó	PROPN
iogr-427	4	48	,	,	PUNCT
iogr-427	4	49	texas	texas	PROPN
iogr-427	4	50	a&m	a&m	PROPN
iogr-427	4	51	university	university	PROPN
iogr-427	4	52	,	,	PUNCT
iogr-427	4	53	college	college	NOUN
iogr-427	4	54	station	station	NOUN
iogr-427	4	55	,	,	PUNCT
iogr-427	4	56	usa	usa	PROPN
iogr-427	4	57	abstract	abstract	PROPN
iogr-427	4	58	the	the	DET
iogr-427	4	59	recent	recent	ADJ
iogr-427	4	60	success	success	NOUN
iogr-427	4	61	in	in	ADP
iogr-427	4	62	developing	develop	VERB
iogr-427	4	63	unconventional	unconventional	ADJ
iogr-427	4	64	reservoirs	reservoir	NOUN
iogr-427	4	65	has	have	AUX
iogr-427	4	66	aroused	arouse	VERB
iogr-427	4	67	many	many	ADJ
iogr-427	4	68	new	new	ADJ
iogr-427	4	69	challenges	challenge	NOUN
iogr-427	4	70	to	to	ADP
iogr-427	4	71	the	the	DET
iogr-427	4	72	theory	theory	NOUN
iogr-427	4	73	of	of	ADP
iogr-427	4	74	reservoir	reservoir	PROPN
iogr-427	4	75	engineering	engineering	NOUN
iogr-427	4	76	.	.	PUNCT
iogr-427	5	1	in	in	ADP
iogr-427	5	2	this	this	DET
iogr-427	5	3	paper	paper	NOUN
iogr-427	5	4	,	,	PUNCT
iogr-427	5	5	we	we	PRON
iogr-427	5	6	try	try	VERB
iogr-427	5	7	to	to	PART
iogr-427	5	8	investigate	investigate	VERB
iogr-427	5	9	the	the	DET
iogr-427	5	10	anomalous	anomalous	ADJ
iogr-427	5	11	diffusion	diffusion	NOUN
iogr-427	5	12	phenomenon	phenomenon	NOUN
iogr-427	5	13	caused	cause	VERB
iogr-427	5	14	by	by	ADP
iogr-427	5	15	the	the	DET
iogr-427	5	16	heterogeneity	heterogeneity	NOUN
iogr-427	5	17	due	due	ADP
iogr-427	5	18	to	to	ADP
iogr-427	5	19	the	the	DET
iogr-427	5	20	fracture	fracture	NOUN
iogr-427	5	21	network	network	NOUN
iogr-427	5	22	on	on	ADP
iogr-427	5	23	the	the	DET
iogr-427	5	24	reservoir	reservoir	NOUN
iogr-427	5	25	scale	scale	NOUN
iogr-427	5	26	.	.	PUNCT
iogr-427	6	1	firstly	firstly	ADV
iogr-427	6	2	,	,	PUNCT
iogr-427	6	3	we	we	PRON
iogr-427	6	4	revisit	revisit	VERB
iogr-427	6	5	the	the	DET
iogr-427	6	6	physical	physical	ADJ
iogr-427	6	7	background	background	NOUN
iogr-427	6	8	of	of	ADP
iogr-427	6	9	the	the	DET
iogr-427	6	10	single	single	ADJ
iogr-427	6	11	-	-	PUNCT
iogr-427	6	12	phase	phase	NOUN
iogr-427	6	13	flow	flow	NOUN
iogr-427	6	14	diffusivity	diffusivity	NOUN
iogr-427	6	15	equation	equation	NOUN
iogr-427	6	16	by	by	ADP
iogr-427	6	17	discussing	discuss	VERB
iogr-427	6	18	the	the	DET
iogr-427	6	19	equivalent	equivalent	ADJ
iogr-427	6	20	single	single	ADJ
iogr-427	6	21	particle	particle	NOUN
iogr-427	6	22	diffusion	diffusion	NOUN
iogr-427	6	23	.	.	PUNCT
iogr-427	7	1	combining	combine	VERB
iogr-427	7	2	the	the	DET
iogr-427	7	3	characteristics	characteristic	NOUN
iogr-427	7	4	of	of	ADP
iogr-427	7	5	single	single	ADJ
iogr-427	7	6	particle	particle	NOUN
iogr-427	7	7	diffusion	diffusion	NOUN
iogr-427	7	8	with	with	ADP
iogr-427	7	9	complex	complex	ADJ
iogr-427	7	10	fracture	fracture	NOUN
iogr-427	7	11	geometry	geometry	NOUN
iogr-427	7	12	,	,	PUNCT
iogr-427	7	13	it	it	PRON
iogr-427	7	14	is	be	AUX
iogr-427	7	15	indicated	indicate	VERB
iogr-427	7	16	that	that	SCONJ
iogr-427	7	17	anomalous	anomalous	ADJ
iogr-427	7	18	diffusion	diffusion	NOUN
iogr-427	7	19	phenomenon	phenomenon	NOUN
iogr-427	7	20	will	will	AUX
iogr-427	7	21	be	be	AUX
iogr-427	7	22	dominant	dominant	ADJ
iogr-427	7	23	on	on	ADP
iogr-427	7	24	the	the	DET
iogr-427	7	25	reservoir	reservoir	NOUN
iogr-427	7	26	scale	scale	NOUN
iogr-427	7	27	,	,	PUNCT
iogr-427	7	28	even	even	ADV
iogr-427	7	29	for	for	ADP
iogr-427	7	30	single	single	ADJ
iogr-427	7	31	phase	phase	NOUN
iogr-427	7	32	production	production	NOUN
iogr-427	7	33	behavior	behavior	NOUN
iogr-427	7	34	.	.	PUNCT
iogr-427	8	1	then	then	ADV
iogr-427	8	2	a	a	DET
iogr-427	8	3	model	model	NOUN
iogr-427	8	4	based	base	VERB
iogr-427	8	5	on	on	ADP
iogr-427	8	6	markov	markov	NOUN
iogr-427	8	7	chain	chain	NOUN
iogr-427	8	8	is	be	AUX
iogr-427	8	9	presented	present	VERB
iogr-427	8	10	to	to	PART
iogr-427	8	11	demonstrate	demonstrate	VERB
iogr-427	8	12	the	the	DET
iogr-427	8	13	proposed	propose	VERB
iogr-427	8	14	anomalous	anomalous	ADJ
iogr-427	8	15	diffusion	diffusion	NOUN
iogr-427	8	16	by	by	ADP
iogr-427	8	17	simulating	simulate	VERB
iogr-427	8	18	the	the	DET
iogr-427	8	19	particle	particle	NOUN
iogr-427	8	20	normal	normal	ADJ
iogr-427	8	21	diffusion	diffusion	NOUN
iogr-427	8	22	on	on	ADP
iogr-427	8	23	a	a	DET
iogr-427	8	24	geometric	geometric	ADJ
iogr-427	8	25	graph	graph	NOUN
iogr-427	8	26	and	and	CCONJ
iogr-427	8	27	then	then	ADV
iogr-427	8	28	calculating	calculate	VERB
iogr-427	8	29	the	the	DET
iogr-427	8	30	relation	relation	NOUN
iogr-427	8	31	of	of	ADP
iogr-427	8	32	the	the	DET
iogr-427	8	33	mean	mean	ADJ
iogr-427	8	34	square	square	ADJ
iogr-427	8	35	displacement	displacement	NOUN
iogr-427	8	36	vs.	vs.	ADP
iogr-427	8	37	time	time	NOUN
iogr-427	8	38	in	in	ADP
iogr-427	8	39	the	the	DET
iogr-427	8	40	embedding	embed	VERB
iogr-427	8	41	euclidean	euclidean	ADJ
iogr-427	8	42	space	space	NOUN
iogr-427	8	43	.	.	PUNCT
iogr-427	9	1	based	base	VERB
iogr-427	9	2	on	on	ADP
iogr-427	9	3	the	the	DET
iogr-427	9	4	simulation	simulation	NOUN
iogr-427	9	5	results	result	NOUN
iogr-427	9	6	,	,	PUNCT
iogr-427	9	7	in	in	ADP
iogr-427	9	8	consequence	consequence	NOUN
iogr-427	9	9	,	,	PUNCT
iogr-427	9	10	we	we	PRON
iogr-427	9	11	make	make	VERB
iogr-427	9	12	discussions	discussion	NOUN
iogr-427	9	13	on	on	ADP
iogr-427	9	14	the	the	DET
iogr-427	9	15	characteristic	characteristic	ADJ
iogr-427	9	16	size	size	NOUN
iogr-427	9	17	of	of	ADP
iogr-427	9	18	the	the	DET
iogr-427	9	19	heterogeneity	heterogeneity	NOUN
iogr-427	9	20	due	due	ADP
iogr-427	9	21	to	to	ADP
iogr-427	9	22	the	the	DET
iogr-427	9	23	fracture	fracture	NOUN
iogr-427	9	24	network	network	NOUN
iogr-427	9	25	on	on	ADP
iogr-427	9	26	the	the	DET
iogr-427	9	27	reservoir	reservoir	NOUN
iogr-427	9	28	scale	scale	NOUN
iogr-427	9	29	,	,	PUNCT
iogr-427	9	30	summarize	summarize	VERB
iogr-427	9	31	two	two	NUM
iogr-427	9	32	types	type	NOUN
iogr-427	9	33	of	of	ADP
iogr-427	9	34	pattern	pattern	NOUN
iogr-427	9	35	for	for	ADP
iogr-427	9	36	the	the	DET
iogr-427	9	37	anomalous	anomalous	ADJ
iogr-427	9	38	diffusion	diffusion	NOUN
iogr-427	9	39	,	,	PUNCT
iogr-427	9	40	and	and	CCONJ
iogr-427	9	41	accordingly	accordingly	ADV
iogr-427	9	42	provide	provide	VERB
iogr-427	9	43	a	a	DET
iogr-427	9	44	supportive	supportive	ADJ
iogr-427	9	45	argument	argument	NOUN
iogr-427	9	46	for	for	ADP
iogr-427	9	47	using	use	VERB
iogr-427	9	48	the	the	DET
iogr-427	9	49	fractional	fractional	ADJ
iogr-427	9	50	diffusivity	diffusivity	NOUN
iogr-427	9	51	equation	equation	NOUN
iogr-427	9	52	,	,	PUNCT
iogr-427	9	53	in	in	ADP
iogr-427	9	54	place	place	NOUN
iogr-427	9	55	of	of	ADP
iogr-427	9	56	the	the	DET
iogr-427	9	57	classical	classical	ADJ
iogr-427	9	58	one	one	NOUN
iogr-427	9	59	,	,	PUNCT
iogr-427	9	60	to	to	PART
iogr-427	9	61	model	model	VERB
iogr-427	9	62	the	the	DET
iogr-427	9	63	flow	flow	NOUN
iogr-427	9	64	and	and	CCONJ
iogr-427	9	65	production	production	NOUN
iogr-427	9	66	behavior	behavior	NOUN
iogr-427	9	67	in	in	ADP
iogr-427	9	68	highly	highly	ADV
iogr-427	9	69	fractured	fractured	ADJ
iogr-427	9	70	unconventional	unconventional	ADJ
iogr-427	9	71	reservoirs	reservoir	NOUN
iogr-427	9	72	.	.	PUNCT
iogr-427	10	1	introduction	introduction	NOUN
iogr-427	10	2	in	in	ADP
iogr-427	10	3	the	the	DET
iogr-427	10	4	last	last	ADJ
iogr-427	10	5	decade	decade	NOUN
iogr-427	10	6	,	,	PUNCT
iogr-427	10	7	one	one	NUM
iogr-427	10	8	of	of	ADP
iogr-427	10	9	the	the	DET
iogr-427	10	10	most	most	ADV
iogr-427	10	11	prominent	prominent	ADJ
iogr-427	10	12	progresses	progress	NOUN
iogr-427	10	13	for	for	ADP
iogr-427	10	14	the	the	DET
iogr-427	10	15	world	world	NOUN
iogr-427	10	16	’s	’s	PART
iogr-427	10	17	energy	energy	NOUN
iogr-427	10	18	industry	industry	NOUN
iogr-427	10	19	was	be	AUX
iogr-427	10	20	undoubtedly	undoubtedly	ADV
iogr-427	10	21	the	the	DET
iogr-427	10	22	so	so	ADV
iogr-427	10	23	-	-	PUNCT
iogr-427	10	24	called	call	VERB
iogr-427	10	25	“	"	PUNCT
iogr-427	10	26	shale	shale	NOUN
iogr-427	10	27	revolution	revolution	NOUN
iogr-427	10	28	”	"	PUNCT
iogr-427	10	29	.	.	PUNCT
iogr-427	11	1	the	the	DET
iogr-427	11	2	economic	economic	ADJ
iogr-427	11	3	development	development	NOUN
iogr-427	11	4	of	of	ADP
iogr-427	11	5	unconventional	unconventional	ADJ
iogr-427	11	6	reservoirs	reservoir	NOUN
iogr-427	11	7	,	,	PUNCT
iogr-427	11	8	such	such	ADJ
iogr-427	11	9	as	as	ADP
iogr-427	11	10	the	the	DET
iogr-427	11	11	shale	shale	NOUN
iogr-427	11	12	gas	gas	NOUN
iogr-427	11	13	and	and	CCONJ
iogr-427	11	14	tight	tight	ADJ
iogr-427	11	15	oil	oil	NOUN
iogr-427	11	16	,	,	PUNCT
iogr-427	11	17	was	be	AUX
iogr-427	11	18	made	make	VERB
iogr-427	11	19	possible	possible	ADJ
iogr-427	11	20	by	by	ADP
iogr-427	11	21	the	the	DET
iogr-427	11	22	combination	combination	NOUN
iogr-427	11	23	of	of	ADP
iogr-427	11	24	horizontal	horizontal	ADJ
iogr-427	11	25	drilling	drilling	NOUN
iogr-427	11	26	and	and	CCONJ
iogr-427	11	27	hydraulic	hydraulic	ADJ
iogr-427	11	28	fracturing	fracturing	NOUN
iogr-427	11	29	.	.	PUNCT
iogr-427	12	1	this	this	DET
iogr-427	12	2	practice	practice	NOUN
iogr-427	12	3	has	have	AUX
iogr-427	12	4	been	be	AUX
iogr-427	12	5	motivating	motivate	VERB
iogr-427	12	6	more	more	ADJ
iogr-427	12	7	and	and	CCONJ
iogr-427	12	8	more	more	ADJ
iogr-427	12	9	interests	interest	NOUN
iogr-427	12	10	in	in	ADP
iogr-427	12	11	the	the	DET
iogr-427	12	12	academic	academic	ADJ
iogr-427	12	13	community	community	NOUN
iogr-427	12	14	to	to	PART
iogr-427	12	15	investigate	investigate	VERB
iogr-427	12	16	the	the	DET
iogr-427	12	17	nature	nature	NOUN
iogr-427	12	18	of	of	ADP
iogr-427	12	19	fluid	fluid	ADJ
iogr-427	12	20	flow	flow	NOUN
iogr-427	12	21	and	and	CCONJ
iogr-427	12	22	production	production	NOUN
iogr-427	12	23	characteristics	characteristic	NOUN
iogr-427	12	24	in	in	ADP
iogr-427	12	25	porous	porous	ADJ
iogr-427	12	26	media	medium	NOUN
iogr-427	12	27	with	with	ADP
iogr-427	12	28	ultra	ultra	ADJ
iogr-427	12	29	-	-	ADJ
iogr-427	12	30	low	low	ADJ
iogr-427	12	31	permeability	permeability	NOUN
iogr-427	12	32	and	and	CCONJ
iogr-427	12	33	complex	complex	ADJ
iogr-427	12	34	fracture	fracture	NOUN
iogr-427	12	35	system	system	NOUN
iogr-427	12	36	.	.	PUNCT
iogr-427	13	1	in	in	ADP
iogr-427	13	2	turn	turn	NOUN
iogr-427	13	3	,	,	PUNCT
iogr-427	13	4	academic	academic	ADJ
iogr-427	13	5	progress	progress	NOUN
iogr-427	13	6	can	can	AUX
iogr-427	13	7	shed	shed	VERB
iogr-427	13	8	light	light	NOUN
iogr-427	13	9	on	on	ADP
iogr-427	13	10	the	the	DET
iogr-427	13	11	flow	flow	NOUN
iogr-427	13	12	mechanism	mechanism	NOUN
iogr-427	13	13	within	within	ADP
iogr-427	13	14	unconventional	unconventional	ADJ
iogr-427	13	15	reservoirs	reservoir	NOUN
iogr-427	13	16	and	and	CCONJ
iogr-427	13	17	improve	improve	VERB
iogr-427	13	18	the	the	DET
iogr-427	13	19	understanding	understanding	NOUN
iogr-427	13	20	and	and	CCONJ
iogr-427	13	21	development	development	NOUN
iogr-427	13	22	of	of	ADP
iogr-427	13	23	these	these	DET
iogr-427	13	24	types	type	NOUN
iogr-427	13	25	of	of	ADP
iogr-427	13	26	plays	play	NOUN
iogr-427	13	27	.	.	PUNCT
iogr-427	14	1	recent	recent	ADJ
iogr-427	14	2	successful	successful	ADJ
iogr-427	14	3	development	development	NOUN
iogr-427	14	4	of	of	ADP
iogr-427	14	5	unconventional	unconventional	ADJ
iogr-427	14	6	reservoirs	reservoir	NOUN
iogr-427	14	7	,	,	PUNCT
iogr-427	14	8	especially	especially	ADV
iogr-427	14	9	shales	shale	NOUN
iogr-427	14	10	and	and	CCONJ
iogr-427	14	11	tight	tight	ADJ
iogr-427	14	12	sands	sand	NOUN
iogr-427	14	13	with	with	ADP
iogr-427	14	14	highly	highly	ADV
iogr-427	14	15	complex	complex	ADJ
iogr-427	14	16	fracture	fracture	NOUN
iogr-427	14	17	systems	system	NOUN
iogr-427	14	18	,	,	PUNCT
iogr-427	14	19	yields	yield	VERB
iogr-427	14	20	a	a	DET
iogr-427	14	21	bunch	bunch	NOUN
iogr-427	14	22	of	of	ADP
iogr-427	14	23	new	new	ADJ
iogr-427	14	24	challenges	challenge	NOUN
iogr-427	14	25	.	.	PUNCT
iogr-427	15	1	many	many	ADJ
iogr-427	15	2	researchers	researcher	NOUN
iogr-427	15	3	have	have	AUX
iogr-427	15	4	tried	try	VERB
iogr-427	15	5	to	to	PART
iogr-427	15	6	overcome	overcome	VERB
iogr-427	15	7	these	these	DET
iogr-427	15	8	challenges	challenge	NOUN
iogr-427	15	9	by	by	ADP
iogr-427	15	10	analyzing	analyze	VERB
iogr-427	15	11	special	special	ADJ
iogr-427	15	12	phase	phase	NOUN
iogr-427	15	13	behavior	behavior	NOUN
iogr-427	15	14	(	(	PUNCT
iogr-427	15	15	nojabaei	nojabaei	PROPN
iogr-427	15	16	et	et	PROPN
iogr-427	15	17	al	al	PROPN
iogr-427	15	18	.	.	PROPN
iogr-427	15	19	2012	2012	NUM
iogr-427	15	20	;	;	PUNCT
iogr-427	15	21	luo	luo	PROPN
iogr-427	15	22	et	et	PROPN
iogr-427	15	23	al	al	PROPN
iogr-427	15	24	.	.	PROPN
iogr-427	15	25	2016	2016	NUM
iogr-427	15	26	;	;	PUNCT
iogr-427	15	27	jin	jin	NOUN
iogr-427	15	28	and	and	CCONJ
iogr-427	15	29	firoozabadi	firoozabadi	PROPN
iogr-427	15	30	2016	2016	NUM
iogr-427	15	31	;	;	PUNCT
iogr-427	15	32	luo	luo	PROPN
iogr-427	15	33	et	et	PROPN
iogr-427	15	34	al	al	PROPN
iogr-427	15	35	.	.	PROPN
iogr-427	15	36	2017	2017	NUM
iogr-427	15	37	)	)	PUNCT
iogr-427	15	38	and	and	CCONJ
iogr-427	15	39	transport	transport	NOUN
iogr-427	15	40	phenomena	phenomenon	NOUN
iogr-427	15	41	(	(	PUNCT
iogr-427	15	42	riewchotisakul	riewchotisakul	ADJ
iogr-427	15	43	and	and	CCONJ
iogr-427	15	44	akkutlu	akkutlu	NOUN
iogr-427	15	45	2016	2016	NUM
iogr-427	15	46	;	;	PUNCT
iogr-427	15	47	wu	wu	PROPN
iogr-427	15	48	and	and	CCONJ
iogr-427	15	49	chen	chen	PROPN
iogr-427	15	50	2016	2016	NUM
iogr-427	15	51	)	)	PUNCT
iogr-427	15	52	in	in	ADP
iogr-427	15	53	nano	nano	NOUN
iogr-427	15	54	-	-	PUNCT
iogr-427	15	55	size	size	NOUN
iogr-427	15	56	pores	pore	NOUN
iogr-427	15	57	,	,	PUNCT
iogr-427	15	58	and	and	CCONJ
iogr-427	15	59	by	by	ADP
iogr-427	15	60	considering	consider	VERB
iogr-427	15	61	geomechanics	geomechanic	NOUN
iogr-427	15	62	(	(	PUNCT
iogr-427	15	63	kim	kim	PROPN
iogr-427	15	64	and	and	CCONJ
iogr-427	15	65	moridis	moridi	NOUN
iogr-427	15	66	2012	2012	NUM
iogr-427	15	67	;	;	PUNCT
iogr-427	15	68	yu	yu	PROPN
iogr-427	15	69	et	et	PROPN
iogr-427	15	70	al	al	PROPN
iogr-427	15	71	.	.	PROPN
iogr-427	15	72	2017	2017	NUM
iogr-427	15	73	)	)	PUNCT
iogr-427	15	74	such	such	ADJ
iogr-427	15	75	as	as	ADP
iogr-427	15	76	stress	stress	NOUN
iogr-427	15	77	-	-	PUNCT
iogr-427	15	78	sensitive	sensitive	ADJ
iogr-427	15	79	permeability	permeability	NOUN
iogr-427	15	80	.	.	PUNCT
iogr-427	16	1	these	these	PRON
iogr-427	16	2	are	be	AUX
iogr-427	16	3	all	all	PRON
iogr-427	16	4	promising	promising	ADJ
iogr-427	16	5	avenues	avenue	NOUN
iogr-427	16	6	,	,	PUNCT
iogr-427	16	7	and	and	CCONJ
iogr-427	16	8	some	some	DET
iogr-427	16	9	informative	informative	ADJ
iogr-427	16	10	and	and	CCONJ
iogr-427	16	11	inspiring	inspiring	ADJ
iogr-427	16	12	works	work	NOUN
iogr-427	16	13	have	have	AUX
iogr-427	16	14	been	be	AUX
iogr-427	16	15	presented	present	VERB
iogr-427	16	16	or	or	CCONJ
iogr-427	16	17	published	publish	VERB
iogr-427	16	18	as	as	SCONJ
iogr-427	16	19	has	have	AUX
iogr-427	16	20	been	be	AUX
iogr-427	16	21	referred	refer	VERB
iogr-427	16	22	above	above	ADV
iogr-427	16	23	.	.	PUNCT
iogr-427	17	1	on	on	ADP
iogr-427	17	2	the	the	DET
iogr-427	17	3	other	other	ADJ
iogr-427	17	4	hand	hand	NOUN
iogr-427	17	5	,	,	PUNCT
iogr-427	17	6	despite	despite	SCONJ
iogr-427	17	7	these	these	DET
iogr-427	17	8	progresses	progress	NOUN
iogr-427	17	9	,	,	PUNCT
iogr-427	17	10	some	some	DET
iogr-427	17	11	fundamental	fundamental	ADJ
iogr-427	17	12	concepts	concept	NOUN
iogr-427	17	13	and	and	CCONJ
iogr-427	17	14	tools	tool	NOUN
iogr-427	17	15	for	for	ADP
iogr-427	17	16	the	the	DET
iogr-427	17	17	unconventional	unconventional	ADJ
iogr-427	17	18	reservoir	reservoir	NOUN
iogr-427	17	19	engineering	engineering	NOUN
iogr-427	17	20	are	be	AUX
iogr-427	17	21	directly	directly	ADV
iogr-427	17	22	inherited	inherit	VERB
iogr-427	17	23	from	from	ADP
iogr-427	17	24	conventional	conventional	ADJ
iogr-427	17	25	reservoirs	reservoir	NOUN
iogr-427	17	26	as	as	ADP
iogr-427	17	27	special	special	ADJ
iogr-427	17	28	situations	situation	NOUN
iogr-427	17	29	with	with	ADP
iogr-427	17	30	ultra	ultra	ADJ
iogr-427	17	31	-	-	ADJ
iogr-427	17	32	low	low	ADJ
iogr-427	17	33	permeability	permeability	NOUN
iogr-427	17	34	.	.	PUNCT
iogr-427	18	1	generally	generally	ADV
iogr-427	18	2	speaking	speak	VERB
iogr-427	18	3	,	,	PUNCT
iogr-427	18	4	in	in	ADP
iogr-427	18	5	the	the	DET
iogr-427	18	6	unconventional	unconventional	ADJ
iogr-427	18	7	reservoir	reservoir	PROPN
iogr-427	18	8	routine	routine	ADJ
iogr-427	18	9	methodology	methodology	NOUN
iogr-427	18	10	used	use	VERB
iogr-427	18	11	for	for	ADP
iogr-427	18	12	modelling	model	VERB
iogr-427	18	13	flow	flow	NOUN
iogr-427	18	14	on	on	ADP
iogr-427	18	15	the	the	DET
iogr-427	18	16	reservoir	reservoir	NOUN
iogr-427	18	17	scale	scale	NOUN
iogr-427	18	18	and	and	CCONJ
iogr-427	18	19	analyzing	analyze	VERB
iogr-427	18	20	production	production	NOUN
iogr-427	18	21	is	be	AUX
iogr-427	18	22	still	still	ADV
iogr-427	18	23	along	along	ADP
iogr-427	18	24	the	the	DET
iogr-427	18	25	conventional	conventional	ADJ
iogr-427	18	26	route	route	NOUN
iogr-427	18	27	,	,	PUNCT
iogr-427	18	28	which	which	PRON
iogr-427	18	29	,	,	PUNCT
iogr-427	18	30	for	for	ADP
iogr-427	18	31	the	the	DET
iogr-427	18	32	simplest	simple	ADJ
iogr-427	18	33	single	single	ADJ
iogr-427	18	34	-	-	PUNCT
iogr-427	18	35	phase	phase	NOUN
iogr-427	18	36	case	case	NOUN
iogr-427	18	37	,	,	PUNCT
iogr-427	18	38	applies	apply	VERB
iogr-427	18	39	the	the	DET
iogr-427	18	40	diffusivity	diffusivity	NOUN
iogr-427	18	41	equation	equation	NOUN
iogr-427	18	42	with	with	ADP
iogr-427	18	43	some	some	DET
iogr-427	18	44	averaged	average	VERB
iogr-427	18	45	or	or	CCONJ
iogr-427	18	46	upscaled	upscaled	ADJ
iogr-427	18	47	parameters	parameter	NOUN
iogr-427	18	48	.	.	PUNCT
iogr-427	19	1	mainly	mainly	ADV
iogr-427	19	2	based	base	VERB
iogr-427	19	3	on	on	ADP
iogr-427	19	4	the	the	DET
iogr-427	19	5	mailto:shuailiu15@gmail.com	mailto:shuailiu15@gmail.com	PROPN
iogr-427	19	6	2	2	NUM
iogr-427	19	7	solutions	solution	NOUN
iogr-427	19	8	to	to	ADP
iogr-427	19	9	the	the	DET
iogr-427	19	10	single	single	ADJ
iogr-427	19	11	-	-	PUNCT
iogr-427	19	12	phase	phase	NOUN
iogr-427	19	13	diffusivity	diffusivity	NOUN
iogr-427	19	14	equations	equation	NOUN
iogr-427	19	15	,	,	PUNCT
iogr-427	19	16	blasingame	blasingame	NOUN
iogr-427	19	17	et	et	PROPN
iogr-427	19	18	al	al	PROPN
iogr-427	19	19	.	.	PROPN
iogr-427	20	1	(	(	PUNCT
iogr-427	20	2	1986a	1986a	NUM
iogr-427	20	3	,	,	PUNCT
iogr-427	20	4	1986b	1986b	NUM
iogr-427	20	5	,	,	PUNCT
iogr-427	20	6	1988	1988	NUM
iogr-427	20	7	,	,	PUNCT
iogr-427	20	8	1989	1989	NUM
iogr-427	20	9	)	)	PUNCT
iogr-427	20	10	rigorously	rigorously	ADV
iogr-427	20	11	derived	derive	VERB
iogr-427	20	12	the	the	DET
iogr-427	20	13	rate	rate	NOUN
iogr-427	20	14	-	-	PUNCT
iogr-427	20	15	decline	decline	NOUN
iogr-427	20	16	relation	relation	NOUN
iogr-427	20	17	and	and	CCONJ
iogr-427	20	18	developed	develop	VERB
iogr-427	20	19	a	a	DET
iogr-427	20	20	method	method	NOUN
iogr-427	20	21	to	to	PART
iogr-427	20	22	extract	extract	VERB
iogr-427	20	23	the	the	DET
iogr-427	20	24	formation	formation	NOUN
iogr-427	20	25	properties	property	NOUN
iogr-427	20	26	,	,	PUNCT
iogr-427	20	27	such	such	ADJ
iogr-427	20	28	as	as	ADP
iogr-427	20	29	permeability	permeability	NOUN
iogr-427	20	30	,	,	PUNCT
iogr-427	20	31	drainage	drainage	NOUN
iogr-427	20	32	area	area	NOUN
iogr-427	20	33	,	,	PUNCT
iogr-427	20	34	and	and	CCONJ
iogr-427	20	35	hydraulic	hydraulic	ADJ
iogr-427	20	36	fracture	fracture	NOUN
iogr-427	20	37	length	length	NOUN
iogr-427	20	38	by	by	ADP
iogr-427	20	39	analyzing	analyze	VERB
iogr-427	20	40	the	the	DET
iogr-427	20	41	flowrate	flowrate	ADJ
iogr-427	20	42	-	-	PUNCT
iogr-427	20	43	time	time	NOUN
iogr-427	20	44	data	datum	NOUN
iogr-427	20	45	.	.	PUNCT
iogr-427	21	1	due	due	ADP
iogr-427	21	2	to	to	ADP
iogr-427	21	3	the	the	DET
iogr-427	21	4	formation	formation	NOUN
iogr-427	21	5	characteristics	characteristic	NOUN
iogr-427	21	6	of	of	ADP
iogr-427	21	7	unconventional	unconventional	ADJ
iogr-427	21	8	reservoirs	reservoir	NOUN
iogr-427	21	9	,	,	PUNCT
iogr-427	21	10	where	where	SCONJ
iogr-427	21	11	the	the	DET
iogr-427	21	12	traditional	traditional	ADJ
iogr-427	21	13	pressure	pressure	NOUN
iogr-427	21	14	transient	transient	NOUN
iogr-427	21	15	analysis	analysis	NOUN
iogr-427	21	16	(	(	PUNCT
iogr-427	21	17	pta	pta	PROPN
iogr-427	21	18	)	)	PUNCT
iogr-427	21	19	becomes	become	VERB
iogr-427	21	20	infeasible	infeasible	ADJ
iogr-427	21	21	,	,	PUNCT
iogr-427	21	22	the	the	DET
iogr-427	21	23	rate	rate	NOUN
iogr-427	21	24	transient	transient	NOUN
iogr-427	21	25	analysis	analysis	NOUN
iogr-427	21	26	(	(	PUNCT
iogr-427	21	27	rta	rta	PROPN
iogr-427	21	28	)	)	PUNCT
iogr-427	21	29	or	or	CCONJ
iogr-427	21	30	production	production	NOUN
iogr-427	21	31	analysis	analysis	NOUN
iogr-427	21	32	,	,	PUNCT
iogr-427	21	33	which	which	PRON
iogr-427	21	34	has	have	AUX
iogr-427	21	35	been	be	AUX
iogr-427	21	36	developed	develop	VERB
iogr-427	21	37	from	from	ADP
iogr-427	21	38	the	the	DET
iogr-427	21	39	above	above	ADJ
iogr-427	21	40	referred	refer	VERB
iogr-427	21	41	works	work	NOUN
iogr-427	21	42	,	,	PUNCT
iogr-427	21	43	is	be	AUX
iogr-427	21	44	the	the	DET
iogr-427	21	45	popular	popular	ADJ
iogr-427	21	46	way	way	NOUN
iogr-427	21	47	to	to	PART
iogr-427	21	48	analyze	analyze	VERB
iogr-427	21	49	the	the	DET
iogr-427	21	50	reservoir	reservoir	NOUN
iogr-427	21	51	performance	performance	NOUN
iogr-427	21	52	.	.	PUNCT
iogr-427	22	1	clarkson	clarkson	PROPN
iogr-427	22	2	and	and	CCONJ
iogr-427	22	3	pedersen	pedersen	PROPN
iogr-427	22	4	(	(	PUNCT
iogr-427	22	5	2010	2010	NUM
iogr-427	22	6	)	)	PUNCT
iogr-427	22	7	examined	examine	VERB
iogr-427	22	8	the	the	DET
iogr-427	22	9	use	use	NOUN
iogr-427	22	10	of	of	ADP
iogr-427	22	11	classic	classic	ADJ
iogr-427	22	12	rta	rta	PROPN
iogr-427	22	13	for	for	ADP
iogr-427	22	14	analysis	analysis	NOUN
iogr-427	22	15	of	of	ADP
iogr-427	22	16	tight	tight	ADJ
iogr-427	22	17	oil	oil	NOUN
iogr-427	22	18	reservoirs	reservoir	NOUN
iogr-427	22	19	and	and	CCONJ
iogr-427	22	20	proposed	propose	VERB
iogr-427	22	21	an	an	DET
iogr-427	22	22	integrated	integrate	VERB
iogr-427	22	23	rta	rta	PROPN
iogr-427	22	24	approach	approach	NOUN
iogr-427	22	25	,	,	PUNCT
iogr-427	22	26	which	which	PRON
iogr-427	22	27	can	can	AUX
iogr-427	22	28	provide	provide	VERB
iogr-427	22	29	reasonable	reasonable	ADJ
iogr-427	22	30	estimates	estimate	NOUN
iogr-427	22	31	of	of	ADP
iogr-427	22	32	hydraulic	hydraulic	ADJ
iogr-427	22	33	fracture	fracture	NOUN
iogr-427	22	34	and	and	CCONJ
iogr-427	22	35	reservoir	reservoir	NOUN
iogr-427	22	36	properties	property	NOUN
iogr-427	22	37	.	.	PUNCT
iogr-427	23	1	as	as	ADP
iogr-427	23	2	a	a	DET
iogr-427	23	3	typical	typical	ADJ
iogr-427	23	4	application	application	NOUN
iogr-427	23	5	of	of	ADP
iogr-427	23	6	rta	rta	PROPN
iogr-427	23	7	in	in	ADP
iogr-427	23	8	the	the	DET
iogr-427	23	9	shale	shale	NOUN
iogr-427	23	10	reservoirs	reservoir	NOUN
iogr-427	23	11	,	,	PUNCT
iogr-427	23	12	belyadi	belyadi	VERB
iogr-427	23	13	et	et	PROPN
iogr-427	23	14	al	al	PROPN
iogr-427	23	15	.	.	PROPN
iogr-427	24	1	(	(	PUNCT
iogr-427	24	2	2015	2015	NUM
iogr-427	24	3	)	)	PUNCT
iogr-427	24	4	use	use	VERB
iogr-427	24	5	this	this	DET
iogr-427	24	6	tool	tool	NOUN
iogr-427	24	7	to	to	PART
iogr-427	24	8	estimate	estimate	VERB
iogr-427	24	9	the	the	DET
iogr-427	24	10	productivity	productivity	NOUN
iogr-427	24	11	of	of	ADP
iogr-427	24	12	marcellus	marcellus	PROPN
iogr-427	24	13	shale	shale	NOUN
iogr-427	24	14	wells	well	NOUN
iogr-427	24	15	and	and	CCONJ
iogr-427	24	16	identify	identify	VERB
iogr-427	24	17	the	the	DET
iogr-427	24	18	most	most	ADV
iogr-427	24	19	successful	successful	ADJ
iogr-427	24	20	completion	completion	NOUN
iogr-427	24	21	methods	method	NOUN
iogr-427	24	22	in	in	ADP
iogr-427	24	23	the	the	DET
iogr-427	24	24	investigated	investigated	ADJ
iogr-427	24	25	play	play	NOUN
iogr-427	24	26	.	.	PUNCT
iogr-427	25	1	to	to	PART
iogr-427	25	2	take	take	VERB
iogr-427	25	3	into	into	ADP
iogr-427	25	4	account	account	NOUN
iogr-427	25	5	the	the	DET
iogr-427	25	6	existence	existence	NOUN
iogr-427	25	7	of	of	ADP
iogr-427	25	8	complex	complex	ADJ
iogr-427	25	9	fractures	fracture	NOUN
iogr-427	25	10	in	in	ADP
iogr-427	25	11	the	the	DET
iogr-427	25	12	formations	formation	NOUN
iogr-427	25	13	,	,	PUNCT
iogr-427	25	14	the	the	DET
iogr-427	25	15	dualporosity	dualporosity	NOUN
iogr-427	25	16	model	model	NOUN
iogr-427	25	17	(	(	PUNCT
iogr-427	25	18	warren	warren	NOUN
iogr-427	25	19	and	and	CCONJ
iogr-427	25	20	root	root	NOUN
iogr-427	25	21	1963	1963	NUM
iogr-427	25	22	;	;	PUNCT
iogr-427	25	23	kazemi	kazemi	PROPN
iogr-427	25	24	1969	1969	NUM
iogr-427	25	25	;	;	PUNCT
iogr-427	25	26	de	de	X
iogr-427	25	27	swaan	swaan	X
iogr-427	25	28	1978	1978	NUM
iogr-427	25	29	)	)	PUNCT
iogr-427	25	30	and	and	CCONJ
iogr-427	25	31	its	its	PRON
iogr-427	25	32	variants	variant	NOUN
iogr-427	25	33	(	(	PUNCT
iogr-427	25	34	abdassah	abdassah	NOUN
iogr-427	25	35	and	and	CCONJ
iogr-427	25	36	ershaghi	ershaghi	PROPN
iogr-427	25	37	1986	1986	NUM
iogr-427	25	38	;	;	PUNCT
iogr-427	25	39	liu	liu	PROPN
iogr-427	25	40	et	et	PROPN
iogr-427	25	41	al	al	PROPN
iogr-427	25	42	.	.	PROPN
iogr-427	25	43	1987	1987	NUM
iogr-427	25	44	)	)	PUNCT
iogr-427	25	45	are	be	AUX
iogr-427	25	46	widely	widely	ADV
iogr-427	25	47	employed	employ	VERB
iogr-427	25	48	in	in	ADP
iogr-427	25	49	the	the	DET
iogr-427	25	50	study	study	NOUN
iogr-427	25	51	of	of	ADP
iogr-427	25	52	unconventional	unconventional	ADJ
iogr-427	25	53	reservoirs	reservoir	NOUN
iogr-427	25	54	.	.	PUNCT
iogr-427	26	1	bello	bello	PROPN
iogr-427	26	2	and	and	CCONJ
iogr-427	26	3	wattenbarger	wattenbarger	NOUN
iogr-427	26	4	(	(	PUNCT
iogr-427	26	5	2008	2008	NUM
iogr-427	26	6	)	)	PUNCT
iogr-427	26	7	combined	combine	VERB
iogr-427	26	8	the	the	DET
iogr-427	26	9	slab	slab	NOUN
iogr-427	26	10	matrix	matrix	NOUN
iogr-427	26	11	transient	transient	NOUN
iogr-427	26	12	dual	dual	ADJ
iogr-427	26	13	porosity	porosity	NOUN
iogr-427	26	14	model	model	NOUN
iogr-427	26	15	with	with	ADP
iogr-427	26	16	rta	rta	PROPN
iogr-427	26	17	to	to	PART
iogr-427	26	18	study	study	VERB
iogr-427	26	19	the	the	DET
iogr-427	26	20	usage	usage	NOUN
iogr-427	26	21	of	of	ADP
iogr-427	26	22	various	various	ADJ
iogr-427	26	23	shape	shape	NOUN
iogr-427	26	24	factor	factor	NOUN
iogr-427	26	25	formulations	formulation	NOUN
iogr-427	26	26	and	and	CCONJ
iogr-427	26	27	the	the	DET
iogr-427	26	28	effect	effect	NOUN
iogr-427	26	29	of	of	ADP
iogr-427	26	30	matrix	matrix	NOUN
iogr-427	26	31	geometry	geometry	NOUN
iogr-427	26	32	on	on	ADP
iogr-427	26	33	the	the	DET
iogr-427	26	34	transient	transient	ADJ
iogr-427	26	35	linear	linear	PROPN
iogr-427	26	36	response	response	NOUN
iogr-427	26	37	.	.	PUNCT
iogr-427	27	1	fuentes	fuentes	PROPN
iogr-427	27	2	-	-	PUNCT
iogr-427	27	3	cruz	cruz	PROPN
iogr-427	27	4	and	and	CCONJ
iogr-427	27	5	valko	valko	PROPN
iogr-427	27	6	(	(	PUNCT
iogr-427	27	7	2015	2015	NUM
iogr-427	27	8	)	)	PUNCT
iogr-427	27	9	applied	apply	VERB
iogr-427	27	10	the	the	DET
iogr-427	27	11	dual	dual	ADJ
iogr-427	27	12	-	-	PUNCT
iogr-427	27	13	porosity	porosity	NOUN
iogr-427	27	14	/	/	SYM
iogr-427	27	15	dual	dual	ADJ
iogr-427	27	16	-	-	PUNCT
iogr-427	27	17	permeability	permeability	NOUN
iogr-427	27	18	model	model	NOUN
iogr-427	27	19	to	to	PART
iogr-427	27	20	study	study	VERB
iogr-427	27	21	the	the	DET
iogr-427	27	22	proposed	propose	VERB
iogr-427	27	23	concept	concept	NOUN
iogr-427	27	24	of	of	ADP
iogr-427	27	25	variable	variable	ADJ
iogr-427	27	26	matrix	matrix	NOUN
iogr-427	27	27	-	-	PUNCT
iogr-427	27	28	block	block	NOUN
iogr-427	27	29	size	size	NOUN
iogr-427	27	30	and	and	CCONJ
iogr-427	27	31	their	their	PRON
iogr-427	27	32	resulting	result	VERB
iogr-427	27	33	mathematical	mathematical	ADJ
iogr-427	27	34	model	model	NOUN
iogr-427	27	35	is	be	AUX
iogr-427	27	36	fundamentally	fundamentally	ADV
iogr-427	27	37	different	different	ADJ
iogr-427	27	38	compared	compare	VERB
iogr-427	27	39	with	with	ADP
iogr-427	27	40	the	the	DET
iogr-427	27	41	standard	standard	ADJ
iogr-427	27	42	dual	dual	ADJ
iogr-427	27	43	-	-	PUNCT
iogr-427	27	44	porosity	porosity	NOUN
iogr-427	27	45	model	model	NOUN
iogr-427	27	46	due	due	ADP
iogr-427	27	47	to	to	ADP
iogr-427	27	48	the	the	DET
iogr-427	27	49	interporosity	interporosity	NOUN
iogr-427	27	50	flow	flow	NOUN
iogr-427	27	51	.	.	PUNCT
iogr-427	28	1	given	give	VERB
iogr-427	28	2	the	the	DET
iogr-427	28	3	ultra	ultra	ADJ
iogr-427	28	4	-	-	ADJ
iogr-427	28	5	low	low	ADJ
iogr-427	28	6	permeability	permeability	NOUN
iogr-427	28	7	of	of	ADP
iogr-427	28	8	the	the	DET
iogr-427	28	9	formation	formation	NOUN
iogr-427	28	10	matrix	matrix	NOUN
iogr-427	28	11	and	and	CCONJ
iogr-427	28	12	the	the	DET
iogr-427	28	13	extensively	extensively	ADV
iogr-427	28	14	elongated	elongate	VERB
iogr-427	28	15	transient	transient	ADJ
iogr-427	28	16	regime	regime	NOUN
iogr-427	28	17	,	,	PUNCT
iogr-427	28	18	trilinear	trilinear	ADJ
iogr-427	28	19	model	model	NOUN
iogr-427	28	20	(	(	PUNCT
iogr-427	28	21	lee	lee	PROPN
iogr-427	28	22	and	and	CCONJ
iogr-427	28	23	brockenbrough	brockenbrough	ADJ
iogr-427	28	24	1983	1983	NUM
iogr-427	28	25	)	)	PUNCT
iogr-427	28	26	has	have	AUX
iogr-427	28	27	been	be	AUX
iogr-427	28	28	introduced	introduce	VERB
iogr-427	28	29	as	as	ADP
iogr-427	28	30	a	a	DET
iogr-427	28	31	simplified	simplified	ADJ
iogr-427	28	32	but	but	CCONJ
iogr-427	28	33	useful	useful	ADJ
iogr-427	28	34	“	"	PUNCT
iogr-427	28	35	asymptotic	asymptotic	ADJ
iogr-427	28	36	”	"	PUNCT
iogr-427	28	37	model	model	NOUN
iogr-427	28	38	to	to	PART
iogr-427	28	39	study	study	VERB
iogr-427	28	40	the	the	DET
iogr-427	28	41	flow	flow	NOUN
iogr-427	28	42	in	in	ADP
iogr-427	28	43	unconventional	unconventional	ADJ
iogr-427	28	44	reservoirs	reservoir	NOUN
iogr-427	28	45	.	.	PUNCT
iogr-427	29	1	ozkan	ozkan	PROPN
iogr-427	29	2	et	et	PROPN
iogr-427	29	3	al	al	PROPN
iogr-427	29	4	.	.	PROPN
iogr-427	30	1	(	(	PUNCT
iogr-427	30	2	2009	2009	NUM
iogr-427	30	3	)	)	PUNCT
iogr-427	30	4	applied	apply	VERB
iogr-427	30	5	an	an	DET
iogr-427	30	6	analytical	analytical	ADJ
iogr-427	30	7	trilinear	trilinear	NOUN
iogr-427	30	8	solution	solution	NOUN
iogr-427	30	9	to	to	PART
iogr-427	30	10	describe	describe	VERB
iogr-427	30	11	the	the	DET
iogr-427	30	12	performance	performance	NOUN
iogr-427	30	13	of	of	ADP
iogr-427	30	14	the	the	DET
iogr-427	30	15	multiple	multiple	ADJ
iogr-427	30	16	fractured	fracture	VERB
iogr-427	30	17	well	well	ADV
iogr-427	30	18	and	and	CCONJ
iogr-427	30	19	concluded	conclude	VERB
iogr-427	30	20	that	that	SCONJ
iogr-427	30	21	smaller	small	ADJ
iogr-427	30	22	fracture	fracture	NOUN
iogr-427	30	23	spacing	space	VERB
iogr-427	30	24	corresponds	correspond	NOUN
iogr-427	30	25	to	to	ADP
iogr-427	30	26	better	well	ADJ
iogr-427	30	27	productivity	productivity	NOUN
iogr-427	30	28	.	.	PUNCT
iogr-427	31	1	though	though	SCONJ
iogr-427	31	2	it	it	PRON
iogr-427	31	3	has	have	AUX
iogr-427	31	4	n’t	not	PART
iogr-427	31	5	aroused	arouse	VERB
iogr-427	31	6	wide	wide	ADJ
iogr-427	31	7	attention	attention	NOUN
iogr-427	31	8	in	in	ADP
iogr-427	31	9	the	the	DET
iogr-427	31	10	community	community	NOUN
iogr-427	31	11	of	of	ADP
iogr-427	31	12	petroleum	petroleum	NOUN
iogr-427	31	13	engineering	engineering	NOUN
iogr-427	31	14	,	,	PUNCT
iogr-427	31	15	anomalous	anomalous	ADJ
iogr-427	31	16	diffusion	diffusion	NOUN
iogr-427	31	17	has	have	AUX
iogr-427	31	18	been	be	AUX
iogr-427	31	19	observed	observe	VERB
iogr-427	31	20	in	in	ADP
iogr-427	31	21	abundant	abundant	ADJ
iogr-427	31	22	experiments	experiment	NOUN
iogr-427	31	23	(	(	PUNCT
iogr-427	31	24	adams	adam	NOUN
iogr-427	31	25	and	and	CCONJ
iogr-427	31	26	gelhar	gelhar	PROPN
iogr-427	31	27	1992	1992	NUM
iogr-427	31	28	;	;	PUNCT
iogr-427	31	29	berkowitz	berkowitz	PROPN
iogr-427	31	30	and	and	CCONJ
iogr-427	31	31	scher	scher	PROPN
iogr-427	31	32	2001	2001	NUM
iogr-427	31	33	)	)	PUNCT
iogr-427	31	34	and	and	CCONJ
iogr-427	31	35	wellstudied	wellstudie	VERB
iogr-427	31	36	analytically	analytically	ADV
iogr-427	31	37	(	(	PUNCT
iogr-427	31	38	metzler	metzler	PROPN
iogr-427	31	39	et	et	PROPN
iogr-427	31	40	al	al	PROPN
iogr-427	31	41	.	.	PROPN
iogr-427	31	42	1994	1994	NUM
iogr-427	31	43	;	;	PUNCT
iogr-427	31	44	berkowitz	berkowitz	PROPN
iogr-427	31	45	and	and	CCONJ
iogr-427	31	46	scher	scher	PROPN
iogr-427	31	47	1997	1997	NUM
iogr-427	31	48	)	)	PUNCT
iogr-427	31	49	and	and	CCONJ
iogr-427	31	50	numerically	numerically	ADV
iogr-427	31	51	(	(	PUNCT
iogr-427	31	52	zhang	zhang	PROPN
iogr-427	31	53	et	et	PROPN
iogr-427	31	54	al	al	PROPN
iogr-427	31	55	.	.	PROPN
iogr-427	31	56	2008	2008	NUM
iogr-427	31	57	;	;	PUNCT
iogr-427	31	58	vilaseca	vilaseca	NOUN
iogr-427	31	59	et	et	PROPN
iogr-427	31	60	al	al	PROPN
iogr-427	31	61	.	.	PROPN
iogr-427	31	62	2011	2011	NUM
iogr-427	31	63	)	)	PUNCT
iogr-427	31	64	by	by	ADP
iogr-427	31	65	hydrologists	hydrologist	NOUN
iogr-427	31	66	,	,	PUNCT
iogr-427	31	67	biologists	biologist	NOUN
iogr-427	31	68	,	,	PUNCT
iogr-427	31	69	and	and	CCONJ
iogr-427	31	70	physicists	physicist	NOUN
iogr-427	31	71	.	.	PUNCT
iogr-427	32	1	usually	usually	ADV
iogr-427	32	2	,	,	PUNCT
iogr-427	32	3	it	it	PRON
iogr-427	32	4	is	be	AUX
iogr-427	32	5	the	the	DET
iogr-427	32	6	tracers	tracer	NOUN
iogr-427	32	7	or	or	CCONJ
iogr-427	32	8	the	the	DET
iogr-427	32	9	small	small	ADJ
iogr-427	32	10	protein	protein	NOUN
iogr-427	32	11	molecules	molecule	NOUN
iogr-427	32	12	that	that	PRON
iogr-427	32	13	undertake	undertake	VERB
iogr-427	32	14	the	the	DET
iogr-427	32	15	anomalous	anomalous	ADJ
iogr-427	32	16	diffusion	diffusion	NOUN
iogr-427	32	17	in	in	ADP
iogr-427	32	18	a	a	DET
iogr-427	32	19	flow	flow	NOUN
iogr-427	32	20	field	field	NOUN
iogr-427	32	21	that	that	PRON
iogr-427	32	22	has	have	VERB
iogr-427	32	23	very	very	ADV
iogr-427	32	24	high	high	ADJ
iogr-427	32	25	heterogeneity	heterogeneity	NOUN
iogr-427	32	26	,	,	PUNCT
iogr-427	32	27	such	such	ADJ
iogr-427	32	28	as	as	ADP
iogr-427	32	29	complex	complex	ADJ
iogr-427	32	30	fracture	fracture	NOUN
iogr-427	32	31	systems	system	NOUN
iogr-427	32	32	or	or	CCONJ
iogr-427	32	33	massive	massive	ADJ
iogr-427	32	34	large	large	ADJ
iogr-427	32	35	molecular	molecular	NOUN
iogr-427	32	36	as	as	ADP
iogr-427	32	37	obstacles	obstacle	NOUN
iogr-427	32	38	.	.	PUNCT
iogr-427	33	1	however	however	ADV
iogr-427	33	2	,	,	PUNCT
iogr-427	33	3	since	since	SCONJ
iogr-427	33	4	the	the	DET
iogr-427	33	5	diffusivity	diffusivity	NOUN
iogr-427	33	6	equation	equation	NOUN
iogr-427	33	7	describes	describe	VERB
iogr-427	33	8	both	both	CCONJ
iogr-427	33	9	the	the	DET
iogr-427	33	10	tracers	tracer	NOUN
iogr-427	33	11	’	'	PUNCT
iogr-427	33	12	diffusion	diffusion	NOUN
iogr-427	33	13	and	and	CCONJ
iogr-427	33	14	the	the	DET
iogr-427	33	15	flow	flow	NOUN
iogr-427	33	16	through	through	ADP
iogr-427	33	17	porous	porous	ADJ
iogr-427	33	18	media	medium	NOUN
iogr-427	33	19	,	,	PUNCT
iogr-427	33	20	by	by	ADP
iogr-427	33	21	analogy	analogy	NOUN
iogr-427	33	22	and	and	CCONJ
iogr-427	33	23	similarity	similarity	VERB
iogr-427	33	24	the	the	DET
iogr-427	33	25	flow	flow	NOUN
iogr-427	33	26	through	through	ADP
iogr-427	33	27	porous	porous	ADJ
iogr-427	33	28	media	medium	NOUN
iogr-427	33	29	is	be	AUX
iogr-427	33	30	very	very	ADV
iogr-427	33	31	likely	likely	ADJ
iogr-427	33	32	to	to	PART
iogr-427	33	33	show	show	VERB
iogr-427	33	34	characteristics	characteristic	NOUN
iogr-427	33	35	of	of	ADP
iogr-427	33	36	anomalous	anomalous	ADJ
iogr-427	33	37	diffusion	diffusion	NOUN
iogr-427	33	38	in	in	ADP
iogr-427	33	39	highly	highly	ADV
iogr-427	33	40	heterogeneous	heterogeneous	ADJ
iogr-427	33	41	formations	formation	NOUN
iogr-427	33	42	,	,	PUNCT
iogr-427	33	43	for	for	ADP
iogr-427	33	44	example	example	NOUN
iogr-427	33	45	shales	shale	NOUN
iogr-427	33	46	.	.	PUNCT
iogr-427	34	1	actually	actually	ADV
iogr-427	34	2	,	,	PUNCT
iogr-427	34	3	some	some	DET
iogr-427	34	4	predecessors	predecessor	NOUN
iogr-427	34	5	in	in	ADP
iogr-427	34	6	petroleum	petroleum	NOUN
iogr-427	34	7	engineering	engineering	NOUN
iogr-427	34	8	have	have	AUX
iogr-427	34	9	done	do	VERB
iogr-427	34	10	some	some	DET
iogr-427	34	11	works	work	NOUN
iogr-427	34	12	on	on	ADP
iogr-427	34	13	this	this	DET
iogr-427	34	14	topic	topic	NOUN
iogr-427	34	15	.	.	PUNCT
iogr-427	35	1	raghavan	raghavan	PROPN
iogr-427	35	2	(	(	PUNCT
iogr-427	35	3	2011	2011	NUM
iogr-427	35	4	)	)	PUNCT
iogr-427	35	5	generalized	generalize	VERB
iogr-427	35	6	the	the	DET
iogr-427	35	7	concepts	concept	NOUN
iogr-427	35	8	of	of	ADP
iogr-427	35	9	classical	classical	ADJ
iogr-427	35	10	diffusion	diffusion	NOUN
iogr-427	35	11	by	by	ADP
iogr-427	35	12	the	the	DET
iogr-427	35	13	fractional	fractional	ADJ
iogr-427	35	14	derivatives	derivative	NOUN
iogr-427	35	15	to	to	PART
iogr-427	35	16	explain	explain	VERB
iogr-427	35	17	features	feature	NOUN
iogr-427	35	18	of	of	ADP
iogr-427	35	19	anomalous	anomalous	ADJ
iogr-427	35	20	diffusion	diffusion	NOUN
iogr-427	35	21	.	.	PUNCT
iogr-427	36	1	based	base	VERB
iogr-427	36	2	on	on	ADP
iogr-427	36	3	fractional	fractional	ADJ
iogr-427	36	4	derivatives	derivative	NOUN
iogr-427	36	5	,	,	PUNCT
iogr-427	36	6	he	he	PRON
iogr-427	36	7	described	describe	VERB
iogr-427	36	8	a	a	DET
iogr-427	36	9	nondarcy	nondarcy	NOUN
iogr-427	36	10	constitutive	constitutive	ADJ
iogr-427	36	11	equation	equation	NOUN
iogr-427	36	12	for	for	ADP
iogr-427	36	13	the	the	DET
iogr-427	36	14	flux	flux	NOUN
iogr-427	36	15	.	.	PUNCT
iogr-427	37	1	raghavan	raghavan	PROPN
iogr-427	37	2	and	and	CCONJ
iogr-427	37	3	chen	chen	PROPN
iogr-427	37	4	(	(	PUNCT
iogr-427	37	5	2017	2017	NUM
iogr-427	37	6	)	)	PUNCT
iogr-427	37	7	replaced	replace	VERB
iogr-427	37	8	by	by	ADP
iogr-427	37	9	the	the	DET
iogr-427	37	10	fractional	fractional	ADJ
iogr-427	37	11	constitutive	constitutive	ADJ
iogr-427	37	12	flux	flux	NOUN
iogr-427	37	13	laws	law	VERB
iogr-427	37	14	the	the	DET
iogr-427	37	15	darcy	darcy	PROPN
iogr-427	37	16	’s	’s	PART
iogr-427	37	17	law	law	NOUN
iogr-427	37	18	in	in	ADP
iogr-427	37	19	their	their	PRON
iogr-427	37	20	mature	mature	ADJ
iogr-427	37	21	dual	dual	ADJ
iogr-427	37	22	-	-	PUNCT
iogr-427	37	23	porosity	porosity	NOUN
iogr-427	37	24	model	model	NOUN
iogr-427	37	25	for	for	ADP
iogr-427	37	26	the	the	DET
iogr-427	37	27	multiple	multiple	ADJ
iogr-427	37	28	fracture	fracture	PROPN
iogr-427	37	29	horizontal	horizontal	ADJ
iogr-427	37	30	well	well	ADV
iogr-427	37	31	to	to	PART
iogr-427	37	32	obtain	obtain	VERB
iogr-427	37	33	the	the	DET
iogr-427	37	34	pressure	pressure	NOUN
iogr-427	37	35	distribution	distribution	NOUN
iogr-427	37	36	in	in	ADP
iogr-427	37	37	the	the	DET
iogr-427	37	38	drainage	drainage	NOUN
iogr-427	37	39	region	region	NOUN
iogr-427	37	40	.	.	PUNCT
iogr-427	38	1	they	they	PRON
iogr-427	38	2	provided	provide	VERB
iogr-427	38	3	the	the	DET
iogr-427	38	4	asymptotic	asymptotic	ADJ
iogr-427	38	5	solutions	solution	NOUN
iogr-427	38	6	for	for	ADP
iogr-427	38	7	the	the	DET
iogr-427	38	8	longterm	longterm	PROPN
iogr-427	38	9	reservoir	reservoir	NOUN
iogr-427	38	10	responses	response	NOUN
iogr-427	38	11	and	and	CCONJ
iogr-427	38	12	found	find	VERB
iogr-427	38	13	that	that	SCONJ
iogr-427	38	14	power	power	NOUN
iogr-427	38	15	-	-	PUNCT
iogr-427	38	16	law	law	NOUN
iogr-427	38	17	behaviors	behavior	NOUN
iogr-427	38	18	reflect	reflect	VERB
iogr-427	38	19	the	the	DET
iogr-427	38	20	heterogeneity	heterogeneity	NOUN
iogr-427	38	21	in	in	ADP
iogr-427	38	22	the	the	DET
iogr-427	38	23	system	system	NOUN
iogr-427	38	24	.	.	PUNCT
iogr-427	39	1	albinali	albinali	ADJ
iogr-427	39	2	and	and	CCONJ
iogr-427	39	3	ozkan	ozkan	ADJ
iogr-427	39	4	(	(	PUNCT
iogr-427	39	5	2016a	2016a	NUM
iogr-427	39	6	)	)	PUNCT
iogr-427	39	7	used	use	VERB
iogr-427	39	8	anomalous	anomalous	ADJ
iogr-427	39	9	diffusion	diffusion	NOUN
iogr-427	39	10	to	to	PART
iogr-427	39	11	represent	represent	VERB
iogr-427	39	12	flow	flow	NOUN
iogr-427	39	13	in	in	ADP
iogr-427	39	14	the	the	DET
iogr-427	39	15	naturally	naturally	ADV
iogr-427	39	16	fractured	fractured	ADJ
iogr-427	39	17	region	region	NOUN
iogr-427	39	18	between	between	ADP
iogr-427	39	19	hydraulic	hydraulic	ADJ
iogr-427	39	20	fractures	fracture	NOUN
iogr-427	39	21	for	for	ADP
iogr-427	39	22	the	the	DET
iogr-427	39	23	transient	transient	ADJ
iogr-427	39	24	,	,	PUNCT
iogr-427	39	25	single	single	ADJ
iogr-427	39	26	-	-	PUNCT
iogr-427	39	27	phase	phase	NOUN
iogr-427	39	28	production	production	NOUN
iogr-427	39	29	.	.	PUNCT
iogr-427	40	1	based	base	VERB
iogr-427	40	2	on	on	ADP
iogr-427	40	3	the	the	DET
iogr-427	40	4	sensitivity	sensitivity	NOUN
iogr-427	40	5	analyses	analysis	NOUN
iogr-427	40	6	,	,	PUNCT
iogr-427	40	7	they	they	PRON
iogr-427	40	8	suggested	suggest	VERB
iogr-427	40	9	to	to	PART
iogr-427	40	10	use	use	VERB
iogr-427	40	11	this	this	DET
iogr-427	40	12	model	model	NOUN
iogr-427	40	13	on	on	ADP
iogr-427	40	14	a	a	DET
iogr-427	40	15	wide	wide	ADJ
iogr-427	40	16	range	range	NOUN
iogr-427	40	17	of	of	ADP
iogr-427	40	18	flow	flow	NOUN
iogr-427	40	19	heterogeneity	heterogeneity	NOUN
iogr-427	40	20	even	even	ADV
iogr-427	40	21	without	without	ADP
iogr-427	40	22	the	the	DET
iogr-427	40	23	intrinsic	intrinsic	ADJ
iogr-427	40	24	details	detail	NOUN
iogr-427	40	25	of	of	ADP
iogr-427	40	26	the	the	DET
iogr-427	40	27	formation	formation	NOUN
iogr-427	40	28	properties	property	NOUN
iogr-427	40	29	.	.	PUNCT
iogr-427	41	1	albinali	albinali	ADJ
iogr-427	41	2	and	and	CCONJ
iogr-427	41	3	ozkan	ozkan	ADJ
iogr-427	41	4	(	(	PUNCT
iogr-427	41	5	2016b	2016b	NUM
iogr-427	41	6	)	)	PUNCT
iogr-427	41	7	discussed	discuss	VERB
iogr-427	41	8	the	the	DET
iogr-427	41	9	basis	basis	NOUN
iogr-427	41	10	of	of	ADP
iogr-427	41	11	anomalous	anomalous	ADJ
iogr-427	41	12	diffusion	diffusion	NOUN
iogr-427	41	13	and	and	CCONJ
iogr-427	41	14	combined	combine	VERB
iogr-427	41	15	this	this	DET
iogr-427	41	16	new	new	ADJ
iogr-427	41	17	concept	concept	NOUN
iogr-427	41	18	with	with	ADP
iogr-427	41	19	the	the	DET
iogr-427	41	20	dual	dual	ADJ
iogr-427	41	21	-	-	PUNCT
iogr-427	41	22	porosity	porosity	NOUN
iogr-427	41	23	model	model	NOUN
iogr-427	41	24	to	to	PART
iogr-427	41	25	interpret	interpret	VERB
iogr-427	41	26	the	the	DET
iogr-427	41	27	flow	flow	NOUN
iogr-427	41	28	in	in	ADP
iogr-427	41	29	the	the	DET
iogr-427	41	30	heterogeneous	heterogeneous	ADJ
iogr-427	41	31	formation	formation	NOUN
iogr-427	41	32	.	.	PUNCT
iogr-427	42	1	subdiffusion	subdiffusion	NOUN
iogr-427	42	2	exponents	exponent	NOUN
iogr-427	42	3	and	and	CCONJ
iogr-427	42	4	other	other	ADJ
iogr-427	42	5	coefficients	coefficient	NOUN
iogr-427	42	6	can	can	AUX
iogr-427	42	7	be	be	AUX
iogr-427	42	8	extracted	extract	VERB
iogr-427	42	9	from	from	ADP
iogr-427	42	10	the	the	DET
iogr-427	42	11	anomalous	anomalous	ADJ
iogr-427	42	12	diffusion	diffusion	NOUN
iogr-427	42	13	model	model	NOUN
iogr-427	42	14	to	to	PART
iogr-427	42	15	help	help	VERB
iogr-427	42	16	us	we	PRON
iogr-427	42	17	learn	learn	VERB
iogr-427	42	18	more	more	ADJ
iogr-427	42	19	about	about	ADP
iogr-427	42	20	the	the	DET
iogr-427	42	21	reservoir	reservoir	NOUN
iogr-427	42	22	-	-	PUNCT
iogr-427	42	23	rock	rock	NOUN
iogr-427	42	24	quality	quality	NOUN
iogr-427	42	25	and	and	CCONJ
iogr-427	42	26	stimulation	stimulation	NOUN
iogr-427	42	27	efficiency	efficiency	NOUN
iogr-427	42	28	.	.	PUNCT
iogr-427	43	1	holy	holy	ADJ
iogr-427	43	2	and	and	CCONJ
iogr-427	43	3	ozkan	ozkan	ADJ
iogr-427	43	4	(	(	PUNCT
iogr-427	43	5	2017	2017	NUM
iogr-427	43	6	)	)	PUNCT
iogr-427	43	7	recently	recently	ADV
iogr-427	43	8	developed	develop	VERB
iogr-427	43	9	a	a	DET
iogr-427	43	10	1	1	NUM
iogr-427	43	11	-	-	PUNCT
iogr-427	43	12	d	d	NOUN
iogr-427	43	13	numerical	numerical	ADJ
iogr-427	43	14	model	model	NOUN
iogr-427	43	15	for	for	ADP
iogr-427	43	16	the	the	DET
iogr-427	43	17	linear	linear	ADJ
iogr-427	43	18	,	,	PUNCT
iogr-427	43	19	single	single	ADJ
iogr-427	43	20	-	-	PUNCT
iogr-427	43	21	phase	phase	NOUN
iogr-427	43	22	flow	flow	NOUN
iogr-427	43	23	undertaking	undertake	VERB
iogr-427	43	24	anomalous	anomalous	ADJ
iogr-427	43	25	diffusion	diffusion	NOUN
iogr-427	43	26	.	.	PUNCT
iogr-427	44	1	this	this	DET
iogr-427	44	2	work	work	NOUN
iogr-427	44	3	provides	provide	VERB
iogr-427	44	4	the	the	DET
iogr-427	44	5	foundation	foundation	NOUN
iogr-427	44	6	for	for	ADP
iogr-427	44	7	more	more	ADJ
iogr-427	44	8	general	general	ADJ
iogr-427	44	9	multi	multi	ADJ
iogr-427	44	10	-	-	ADJ
iogr-427	44	11	dimensional	dimensional	ADJ
iogr-427	44	12	numerical	numerical	ADJ
iogr-427	44	13	models	model	NOUN
iogr-427	44	14	in	in	ADP
iogr-427	44	15	the	the	DET
iogr-427	44	16	future	future	NOUN
iogr-427	44	17	.	.	PUNCT
iogr-427	45	1	the	the	DET
iogr-427	45	2	outline	outline	NOUN
iogr-427	45	3	of	of	ADP
iogr-427	45	4	this	this	DET
iogr-427	45	5	paper	paper	NOUN
iogr-427	45	6	is	be	AUX
iogr-427	45	7	listed	list	VERB
iogr-427	45	8	as	as	SCONJ
iogr-427	45	9	follows	follow	VERB
iogr-427	45	10	.	.	PUNCT
iogr-427	46	1	in	in	ADP
iogr-427	46	2	the	the	DET
iogr-427	46	3	following	follow	VERB
iogr-427	46	4	section	section	NOUN
iogr-427	46	5	,	,	PUNCT
iogr-427	46	6	the	the	DET
iogr-427	46	7	physical	physical	ADJ
iogr-427	46	8	background	background	NOUN
iogr-427	46	9	of	of	ADP
iogr-427	46	10	the	the	DET
iogr-427	46	11	single	single	ADJ
iogr-427	46	12	-	-	PUNCT
iogr-427	46	13	phase	phase	NOUN
iogr-427	46	14	flow	flow	NOUN
iogr-427	46	15	diffusivity	diffusivity	NOUN
iogr-427	46	16	equation	equation	NOUN
iogr-427	46	17	is	be	AUX
iogr-427	46	18	revisited	revisit	VERB
iogr-427	46	19	by	by	ADP
iogr-427	46	20	discussing	discuss	VERB
iogr-427	46	21	its	its	PRON
iogr-427	46	22	equivalent	equivalent	ADJ
iogr-427	46	23	form	form	NOUN
iogr-427	46	24	describing	describe	VERB
iogr-427	46	25	individual	individual	ADJ
iogr-427	46	26	fluid	fluid	ADJ
iogr-427	46	27	particle	particle	NOUN
iogr-427	46	28	motion	motion	NOUN
iogr-427	46	29	.	.	PUNCT
iogr-427	47	1	then	then	ADV
iogr-427	47	2	,	,	PUNCT
iogr-427	47	3	a	a	DET
iogr-427	47	4	method	method	NOUN
iogr-427	47	5	is	be	AUX
iogr-427	47	6	developed	develop	VERB
iogr-427	47	7	by	by	ADP
iogr-427	47	8	simulating	simulate	VERB
iogr-427	47	9	the	the	DET
iogr-427	47	10	continuous	continuous	ADJ
iogr-427	47	11	-	-	PUNCT
iogr-427	47	12	time	time	NOUN
iogr-427	47	13	markov	markov	NOUN
iogr-427	47	14	chain	chain	NOUN
iogr-427	47	15	(	(	PUNCT
iogr-427	47	16	ctmc	ctmc	ADJ
iogr-427	47	17	)	)	PUNCT
iogr-427	47	18	on	on	ADP
iogr-427	47	19	a	a	DET
iogr-427	47	20	geometric	geometric	ADJ
iogr-427	47	21	graph	graph	NOUN
iogr-427	47	22	to	to	PART
iogr-427	47	23	model	model	VERB
iogr-427	47	24	the	the	DET
iogr-427	47	25	single	single	ADJ
iogr-427	47	26	-	-	PUNCT
iogr-427	47	27	phase	phase	NOUN
iogr-427	47	28	flow	flow	NOUN
iogr-427	47	29	in	in	ADP
iogr-427	47	30	the	the	DET
iogr-427	47	31	fracture	fracture	NOUN
iogr-427	47	32	network	network	NOUN
iogr-427	47	33	,	,	PUNCT
iogr-427	47	34	which	which	PRON
iogr-427	47	35	is	be	AUX
iogr-427	47	36	embedded	embed	VERB
iogr-427	47	37	3	3	NUM
iogr-427	47	38	in	in	ADP
iogr-427	47	39	the	the	DET
iogr-427	47	40	formation	formation	NOUN
iogr-427	47	41	.	.	PUNCT
iogr-427	48	1	using	use	VERB
iogr-427	48	2	the	the	DET
iogr-427	48	3	simulation	simulation	NOUN
iogr-427	48	4	results	result	NOUN
iogr-427	48	5	we	we	PRON
iogr-427	48	6	can	can	AUX
iogr-427	48	7	calculate	calculate	VERB
iogr-427	48	8	the	the	DET
iogr-427	48	9	relation	relation	NOUN
iogr-427	48	10	of	of	ADP
iogr-427	48	11	transferred	transfer	VERB
iogr-427	48	12	mean	mean	ADJ
iogr-427	48	13	square	square	ADJ
iogr-427	48	14	displacement	displacement	NOUN
iogr-427	48	15	(	(	PUNCT
iogr-427	48	16	msd	msd	NOUN
iogr-427	48	17	)	)	PUNCT
iogr-427	48	18	vs.	vs.	ADP
iogr-427	48	19	time	time	NOUN
iogr-427	48	20	to	to	PART
iogr-427	48	21	demonstrate	demonstrate	VERB
iogr-427	48	22	the	the	DET
iogr-427	48	23	proposed	propose	VERB
iogr-427	48	24	anomalous	anomalous	ADJ
iogr-427	48	25	diffusion	diffusion	NOUN
iogr-427	48	26	phenomenon	phenomenon	NOUN
iogr-427	48	27	.	.	PUNCT
iogr-427	49	1	then	then	ADV
iogr-427	49	2	by	by	ADP
iogr-427	49	3	the	the	DET
iogr-427	49	4	models	model	NOUN
iogr-427	49	5	described	describe	VERB
iogr-427	49	6	above	above	ADV
iogr-427	49	7	,	,	PUNCT
iogr-427	49	8	the	the	DET
iogr-427	49	9	simulation	simulation	NOUN
iogr-427	49	10	results	result	VERB
iogr-427	49	11	for	for	ADP
iogr-427	49	12	a	a	DET
iogr-427	49	13	highly	highly	ADV
iogr-427	49	14	fractured	fractured	ADJ
iogr-427	49	15	formation	formation	NOUN
iogr-427	49	16	are	be	AUX
iogr-427	49	17	given	give	VERB
iogr-427	49	18	in	in	ADP
iogr-427	49	19	the	the	DET
iogr-427	49	20	simulated	simulate	VERB
iogr-427	49	21	result	result	NOUN
iogr-427	49	22	section	section	NOUN
iogr-427	49	23	.	.	PUNCT
iogr-427	50	1	the	the	DET
iogr-427	50	2	plots	plot	NOUN
iogr-427	50	3	of	of	ADP
iogr-427	50	4	msd	msd	NOUN
iogr-427	50	5	with	with	ADP
iogr-427	50	6	respect	respect	NOUN
iogr-427	50	7	to	to	ADP
iogr-427	50	8	time	time	NOUN
iogr-427	50	9	are	be	AUX
iogr-427	50	10	displayed	display	VERB
iogr-427	50	11	to	to	PART
iogr-427	50	12	show	show	VERB
iogr-427	50	13	apparently	apparently	ADV
iogr-427	50	14	the	the	DET
iogr-427	50	15	characteristics	characteristic	NOUN
iogr-427	50	16	of	of	ADP
iogr-427	50	17	anomalous	anomalous	ADJ
iogr-427	50	18	diffusion	diffusion	NOUN
iogr-427	50	19	with	with	ADP
iogr-427	50	20	a	a	DET
iogr-427	50	21	non	non	ADJ
iogr-427	50	22	-	-	ADJ
iogr-427	50	23	unit	unit	ADJ
iogr-427	50	24	slope	slope	NOUN
iogr-427	50	25	.	.	PUNCT
iogr-427	51	1	some	some	DET
iogr-427	51	2	further	further	ADJ
iogr-427	51	3	discussions	discussion	NOUN
iogr-427	51	4	about	about	ADP
iogr-427	51	5	the	the	DET
iogr-427	51	6	simulation	simulation	NOUN
iogr-427	51	7	results	result	NOUN
iogr-427	51	8	are	be	AUX
iogr-427	51	9	provided	provide	VERB
iogr-427	51	10	.	.	PUNCT
iogr-427	52	1	as	as	ADP
iogr-427	52	2	a	a	DET
iogr-427	52	3	result	result	NOUN
iogr-427	52	4	,	,	PUNCT
iogr-427	52	5	the	the	DET
iogr-427	52	6	fractional	fractional	ADJ
iogr-427	52	7	diffusivity	diffusivity	NOUN
iogr-427	52	8	equation	equation	NOUN
iogr-427	52	9	is	be	AUX
iogr-427	52	10	suggested	suggest	VERB
iogr-427	52	11	to	to	PART
iogr-427	52	12	account	account	VERB
iogr-427	52	13	for	for	ADP
iogr-427	52	14	the	the	DET
iogr-427	52	15	anomalous	anomalous	ADJ
iogr-427	52	16	transport	transport	NOUN
iogr-427	52	17	phenomenon	phenomenon	NOUN
iogr-427	52	18	in	in	ADP
iogr-427	52	19	the	the	DET
iogr-427	52	20	highly	highly	ADV
iogr-427	52	21	fractured	fractured	ADJ
iogr-427	52	22	unconventional	unconventional	ADJ
iogr-427	52	23	reservoirs	reservoir	NOUN
iogr-427	52	24	.	.	PUNCT
iogr-427	53	1	revisiting	revisit	VERB
iogr-427	53	2	diffusivity	diffusivity	NOUN
iogr-427	53	3	equation	equation	NOUN
iogr-427	53	4	single	single	ADJ
iogr-427	53	5	-	-	PUNCT
iogr-427	53	6	phase	phase	NOUN
iogr-427	53	7	flow	flow	NOUN
iogr-427	53	8	of	of	ADP
iogr-427	53	9	slightly	slightly	ADV
iogr-427	53	10	compressible	compressible	ADJ
iogr-427	53	11	fluid	fluid	NOUN
iogr-427	53	12	in	in	ADP
iogr-427	53	13	porous	porous	ADJ
iogr-427	53	14	media	medium	NOUN
iogr-427	53	15	is	be	AUX
iogr-427	53	16	always	always	ADV
iogr-427	53	17	the	the	DET
iogr-427	53	18	primary	primary	ADJ
iogr-427	53	19	and	and	CCONJ
iogr-427	53	20	most	most	ADV
iogr-427	53	21	essential	essential	ADJ
iogr-427	53	22	problem	problem	NOUN
iogr-427	53	23	for	for	ADP
iogr-427	53	24	petroleum	petroleum	NOUN
iogr-427	53	25	industry	industry	NOUN
iogr-427	53	26	(	(	PUNCT
iogr-427	53	27	dake	dake	NOUN
iogr-427	53	28	1983	1983	NUM
iogr-427	53	29	)	)	PUNCT
iogr-427	53	30	.	.	PUNCT
iogr-427	54	1	although	although	SCONJ
iogr-427	54	2	it	it	PRON
iogr-427	54	3	may	may	AUX
iogr-427	54	4	be	be	AUX
iogr-427	54	5	called	call	VERB
iogr-427	54	6	as	as	ADP
iogr-427	54	7	one	one	NUM
iogr-427	54	8	of	of	ADP
iogr-427	54	9	the	the	DET
iogr-427	54	10	thoroughly	thoroughly	ADV
iogr-427	54	11	investigated	investigate	VERB
iogr-427	54	12	topics	topic	NOUN
iogr-427	54	13	in	in	ADP
iogr-427	54	14	this	this	DET
iogr-427	54	15	field	field	NOUN
iogr-427	54	16	,	,	PUNCT
iogr-427	54	17	we	we	PRON
iogr-427	54	18	would	would	AUX
iogr-427	54	19	like	like	VERB
iogr-427	54	20	to	to	PART
iogr-427	54	21	propose	propose	VERB
iogr-427	54	22	a	a	DET
iogr-427	54	23	new	new	ADJ
iogr-427	54	24	perspective	perspective	NOUN
iogr-427	54	25	for	for	ADP
iogr-427	54	26	this	this	DET
iogr-427	54	27	equation	equation	NOUN
iogr-427	54	28	when	when	SCONJ
iogr-427	54	29	the	the	DET
iogr-427	54	30	porous	porous	ADJ
iogr-427	54	31	media	medium	NOUN
iogr-427	54	32	has	have	VERB
iogr-427	54	33	a	a	DET
iogr-427	54	34	micro	micro	NOUN
iogr-427	54	35	-	-	NOUN
iogr-427	54	36	structure	structure	NOUN
iogr-427	54	37	in	in	ADP
iogr-427	54	38	the	the	DET
iogr-427	54	39	form	form	NOUN
iogr-427	54	40	of	of	ADP
iogr-427	54	41	complex	complex	ADJ
iogr-427	54	42	fracture	fracture	NOUN
iogr-427	54	43	network	network	NOUN
iogr-427	54	44	.	.	PUNCT
iogr-427	55	1	for	for	ADP
iogr-427	55	2	simplicity	simplicity	NOUN
iogr-427	55	3	and	and	CCONJ
iogr-427	55	4	without	without	ADP
iogr-427	55	5	losing	lose	VERB
iogr-427	55	6	generality	generality	NOUN
iogr-427	55	7	,	,	PUNCT
iogr-427	55	8	we	we	PRON
iogr-427	55	9	will	will	AUX
iogr-427	55	10	concentrate	concentrate	VERB
iogr-427	55	11	on	on	ADP
iogr-427	55	12	the	the	DET
iogr-427	55	13	problem	problem	NOUN
iogr-427	55	14	in	in	ADP
iogr-427	55	15	two	two	NUM
iogr-427	55	16	dimensions	dimension	NOUN
iogr-427	55	17	.	.	PUNCT
iogr-427	56	1	the	the	DET
iogr-427	56	2	assumptions	assumption	NOUN
iogr-427	56	3	for	for	ADP
iogr-427	56	4	the	the	DET
iogr-427	56	5	discussion	discussion	NOUN
iogr-427	56	6	and	and	CCONJ
iogr-427	56	7	the	the	DET
iogr-427	56	8	model	model	NOUN
iogr-427	56	9	in	in	ADP
iogr-427	56	10	this	this	DET
iogr-427	56	11	paper	paper	NOUN
iogr-427	56	12	are	be	AUX
iogr-427	56	13	listed	list	VERB
iogr-427	56	14	as	as	SCONJ
iogr-427	56	15	follows	follow	VERB
iogr-427	56	16	.	.	PUNCT
iogr-427	57	1	1	1	X
iogr-427	57	2	.	.	X
iogr-427	57	3	the	the	DET
iogr-427	57	4	fluid	fluid	NOUN
iogr-427	57	5	is	be	AUX
iogr-427	57	6	of	of	ADP
iogr-427	57	7	single	single	ADJ
iogr-427	57	8	phase	phase	NOUN
iogr-427	57	9	and	and	CCONJ
iogr-427	57	10	slight	slight	ADJ
iogr-427	57	11	compressibility	compressibility	NOUN
iogr-427	57	12	.	.	PUNCT
iogr-427	58	1	the	the	DET
iogr-427	58	2	formation	formation	NOUN
iogr-427	58	3	volume	volume	NOUN
iogr-427	58	4	factor	factor	NOUN
iogr-427	58	5	𝐵	𝐵	NOUN
iogr-427	58	6	and	and	CCONJ
iogr-427	58	7	viscosity	viscosity	NOUN
iogr-427	58	8	𝜇	𝜇	X
iogr-427	58	9	can	can	AUX
iogr-427	58	10	be	be	AUX
iogr-427	58	11	considered	consider	VERB
iogr-427	58	12	essentially	essentially	ADV
iogr-427	58	13	constant	constant	ADJ
iogr-427	58	14	.	.	PUNCT
iogr-427	59	1	the	the	DET
iogr-427	59	2	total	total	ADJ
iogr-427	59	3	compressibility	compressibility	NOUN
iogr-427	59	4	of	of	ADP
iogr-427	59	5	fracture	fracture	NOUN
iogr-427	59	6	rock	rock	NOUN
iogr-427	59	7	and	and	CCONJ
iogr-427	59	8	matrix	matrix	NOUN
iogr-427	59	9	rock	rock	NOUN
iogr-427	59	10	saturated	saturate	VERB
iogr-427	59	11	with	with	ADP
iogr-427	59	12	the	the	DET
iogr-427	59	13	fluid	fluid	NOUN
iogr-427	59	14	are	be	AUX
iogr-427	59	15	𝑐𝑡𝑓	𝑐𝑡𝑓	NOUN
iogr-427	59	16	and	and	CCONJ
iogr-427	59	17	𝑐𝑡𝑚	𝑐𝑡𝑚	NOUN
iogr-427	59	18	,	,	PUNCT
iogr-427	59	19	respectively	respectively	ADV
iogr-427	59	20	.	.	PUNCT
iogr-427	60	1	in	in	ADP
iogr-427	60	2	addition	addition	NOUN
iogr-427	60	3	,	,	PUNCT
iogr-427	60	4	only	only	ADV
iogr-427	60	5	isothermal	isothermal	ADJ
iogr-427	60	6	flow	flow	NOUN
iogr-427	60	7	is	be	AUX
iogr-427	60	8	considered	consider	VERB
iogr-427	60	9	.	.	PUNCT
iogr-427	61	1	2	2	X
iogr-427	61	2	.	.	X
iogr-427	61	3	the	the	DET
iogr-427	61	4	formation	formation	NOUN
iogr-427	61	5	is	be	AUX
iogr-427	61	6	horizontal	horizontal	ADJ
iogr-427	61	7	,	,	PUNCT
iogr-427	61	8	and	and	CCONJ
iogr-427	61	9	its	its	PRON
iogr-427	61	10	thickness	thickness	NOUN
iogr-427	61	11	ℎ	ℎ	NOUN
iogr-427	61	12	is	be	AUX
iogr-427	61	13	constant	constant	ADJ
iogr-427	61	14	.	.	PUNCT
iogr-427	62	1	its	its	PRON
iogr-427	62	2	upper	upper	ADJ
iogr-427	62	3	and	and	CCONJ
iogr-427	62	4	lower	low	ADJ
iogr-427	62	5	boundary	boundary	NOUN
iogr-427	62	6	is	be	AUX
iogr-427	62	7	of	of	ADP
iogr-427	62	8	no	no	DET
iogr-427	62	9	flow	flow	NOUN
iogr-427	62	10	conditions	condition	NOUN
iogr-427	62	11	.	.	PUNCT
iogr-427	63	1	3	3	X
iogr-427	63	2	.	.	X
iogr-427	63	3	the	the	DET
iogr-427	63	4	porous	porous	ADJ
iogr-427	63	5	media	medium	NOUN
iogr-427	63	6	consists	consist	VERB
iogr-427	63	7	of	of	ADP
iogr-427	63	8	two	two	NUM
iogr-427	63	9	main	main	ADJ
iogr-427	63	10	parts	part	NOUN
iogr-427	63	11	:	:	PUNCT
iogr-427	63	12	the	the	DET
iogr-427	63	13	fractures	fracture	NOUN
iogr-427	63	14	and	and	CCONJ
iogr-427	63	15	the	the	DET
iogr-427	63	16	matrix	matrix	NOUN
iogr-427	63	17	.	.	PUNCT
iogr-427	64	1	the	the	DET
iogr-427	64	2	schematic	schematic	ADJ
iogr-427	64	3	graph	graph	NOUN
iogr-427	64	4	in	in	ADP
iogr-427	64	5	figure	figure	NOUN
iogr-427	64	6	1a	1a	PROPN
iogr-427	64	7	illustrates	illustrate	VERB
iogr-427	64	8	the	the	DET
iogr-427	64	9	domains	domain	NOUN
iogr-427	64	10	of	of	ADP
iogr-427	64	11	our	our	PRON
iogr-427	64	12	model	model	NOUN
iogr-427	64	13	.	.	PUNCT
iogr-427	65	1	•	•	NUM
iogr-427	65	2	although	although	ADV
iogr-427	65	3	,	,	PUNCT
iogr-427	65	4	in	in	ADP
iogr-427	65	5	reality	reality	NOUN
iogr-427	65	6	,	,	PUNCT
iogr-427	65	7	the	the	DET
iogr-427	65	8	unconventional	unconventional	ADJ
iogr-427	65	9	reservoir	reservoir	NOUN
iogr-427	65	10	formations	formation	NOUN
iogr-427	65	11	have	have	VERB
iogr-427	65	12	the	the	DET
iogr-427	65	13	strong	strong	ADJ
iogr-427	65	14	heterogeneity	heterogeneity	NOUN
iogr-427	65	15	due	due	ADP
iogr-427	65	16	to	to	ADP
iogr-427	65	17	fractures	fracture	NOUN
iogr-427	65	18	in	in	ADP
iogr-427	65	19	nearly	nearly	ADV
iogr-427	65	20	all	all	PRON
iogr-427	65	21	scales	scale	NOUN
iogr-427	65	22	(	(	PUNCT
iogr-427	65	23	gale	gale	NOUN
iogr-427	65	24	et	et	PROPN
iogr-427	65	25	al	al	PROPN
iogr-427	65	26	.	.	PROPN
iogr-427	65	27	2014	2014	NUM
iogr-427	65	28	)	)	PUNCT
iogr-427	65	29	,	,	PUNCT
iogr-427	65	30	for	for	ADP
iogr-427	65	31	the	the	DET
iogr-427	65	32	purpose	purpose	NOUN
iogr-427	65	33	of	of	ADP
iogr-427	65	34	this	this	DET
iogr-427	65	35	work	work	NOUN
iogr-427	65	36	we	we	PRON
iogr-427	65	37	only	only	ADV
iogr-427	65	38	take	take	VERB
iogr-427	65	39	into	into	ADP
iogr-427	65	40	account	account	NOUN
iogr-427	65	41	the	the	DET
iogr-427	65	42	macroscopic	macroscopic	ADJ
iogr-427	65	43	fractures	fracture	NOUN
iogr-427	65	44	(	(	PUNCT
iogr-427	65	45	larger	large	ADJ
iogr-427	65	46	than	than	ADP
iogr-427	65	47	~10−3	~10−3	PUNCT
iogr-427	65	48	ft	ft	NOUN
iogr-427	65	49	)	)	PUNCT
iogr-427	65	50	.	.	PUNCT
iogr-427	66	1	the	the	DET
iogr-427	66	2	fracture	fracture	NOUN
iogr-427	66	3	system	system	NOUN
iogr-427	66	4	consists	consist	VERB
iogr-427	66	5	of	of	ADP
iogr-427	66	6	natural	natural	ADJ
iogr-427	66	7	fracture	fracture	NOUN
iogr-427	66	8	sets	set	NOUN
iogr-427	66	9	,	,	PUNCT
iogr-427	66	10	induced	induced	ADJ
iogr-427	66	11	fractures	fracture	NOUN
iogr-427	66	12	and	and	CCONJ
iogr-427	66	13	hydraulic	hydraulic	ADJ
iogr-427	66	14	fractures	fracture	NOUN
iogr-427	66	15	,	,	PUNCT
iogr-427	66	16	all	all	PRON
iogr-427	66	17	of	of	ADP
iogr-427	66	18	which	which	PRON
iogr-427	66	19	are	be	AUX
iogr-427	66	20	interconnected	interconnect	VERB
iogr-427	66	21	to	to	PART
iogr-427	66	22	form	form	VERB
iogr-427	66	23	a	a	DET
iogr-427	66	24	“	"	PUNCT
iogr-427	66	25	fracture	fracture	NOUN
iogr-427	66	26	network	network	NOUN
iogr-427	66	27	”	"	PUNCT
iogr-427	66	28	and	and	CCONJ
iogr-427	66	29	capable	capable	ADJ
iogr-427	66	30	of	of	ADP
iogr-427	66	31	directly	directly	ADV
iogr-427	66	32	contributing	contribute	VERB
iogr-427	66	33	to	to	ADP
iogr-427	66	34	the	the	DET
iogr-427	66	35	flow	flow	NOUN
iogr-427	66	36	into	into	ADP
iogr-427	66	37	the	the	DET
iogr-427	66	38	wellbore	wellbore	NOUN
iogr-427	66	39	.	.	PUNCT
iogr-427	67	1	the	the	DET
iogr-427	67	2	natural	natural	ADJ
iogr-427	67	3	fractures	fracture	NOUN
iogr-427	67	4	and	and	CCONJ
iogr-427	67	5	induced	induced	ADJ
iogr-427	67	6	fractures	fracture	NOUN
iogr-427	67	7	have	have	VERB
iogr-427	67	8	the	the	DET
iogr-427	67	9	same	same	ADJ
iogr-427	67	10	formation	formation	NOUN
iogr-427	67	11	properties	property	NOUN
iogr-427	67	12	:	:	PUNCT
iogr-427	67	13	constant	constant	ADJ
iogr-427	67	14	fracture	fracture	NOUN
iogr-427	67	15	permeability	permeability	NOUN
iogr-427	67	16	𝑘𝑓	𝑘𝑓	NUM
iogr-427	67	17	,	,	PUNCT
iogr-427	67	18	constant	constant	ADJ
iogr-427	67	19	fracture	fracture	NOUN
iogr-427	67	20	porosity	porosity	NOUN
iogr-427	67	21	𝜙𝑓	𝜙𝑓	ADP
iogr-427	67	22	and	and	CCONJ
iogr-427	67	23	constant	constant	ADJ
iogr-427	67	24	aperture	aperture	NOUN
iogr-427	67	25	𝑏.	𝑏.	ADV
iogr-427	67	26	the	the	DET
iogr-427	67	27	hydraulic	hydraulic	ADJ
iogr-427	67	28	fractures	fracture	NOUN
iogr-427	67	29	are	be	AUX
iogr-427	67	30	assumed	assume	VERB
iogr-427	67	31	to	to	PART
iogr-427	67	32	be	be	AUX
iogr-427	67	33	of	of	ADP
iogr-427	67	34	planar	planar	ADJ
iogr-427	67	35	shape	shape	NOUN
iogr-427	67	36	and	and	CCONJ
iogr-427	67	37	have	have	VERB
iogr-427	67	38	infinite	infinite	ADJ
iogr-427	67	39	conductivity	conductivity	NOUN
iogr-427	67	40	.	.	PUNCT
iogr-427	68	1	all	all	DET
iogr-427	68	2	the	the	DET
iogr-427	68	3	fractures	fracture	NOUN
iogr-427	68	4	have	have	VERB
iogr-427	68	5	the	the	DET
iogr-427	68	6	same	same	ADJ
iogr-427	68	7	height	height	NOUN
iogr-427	68	8	as	as	ADP
iogr-427	68	9	the	the	DET
iogr-427	68	10	formation	formation	NOUN
iogr-427	68	11	thickness	thickness	NOUN
iogr-427	68	12	and	and	CCONJ
iogr-427	68	13	are	be	AUX
iogr-427	68	14	perpendicular	perpendicular	ADJ
iogr-427	68	15	to	to	ADP
iogr-427	68	16	the	the	DET
iogr-427	68	17	horizontal	horizontal	ADJ
iogr-427	68	18	bedding	bed	VERB
iogr-427	68	19	plane	plane	NOUN
iogr-427	68	20	.	.	PUNCT
iogr-427	69	1	•	•	NUM
iogr-427	69	2	the	the	DET
iogr-427	69	3	matrix	matrix	NOUN
iogr-427	69	4	is	be	AUX
iogr-427	69	5	isotropic	isotropic	ADJ
iogr-427	69	6	and	and	CCONJ
iogr-427	69	7	homogeneous	homogeneous	ADJ
iogr-427	69	8	.	.	PUNCT
iogr-427	70	1	this	this	PRON
iogr-427	70	2	means	mean	VERB
iogr-427	70	3	that	that	SCONJ
iogr-427	70	4	we	we	PRON
iogr-427	70	5	neglect	neglect	VERB
iogr-427	70	6	the	the	DET
iogr-427	70	7	small	small	ADJ
iogr-427	70	8	-	-	PUNCT
iogr-427	70	9	scale	scale	NOUN
iogr-427	70	10	fractures	fracture	NOUN
iogr-427	70	11	,	,	PUNCT
iogr-427	70	12	and	and	CCONJ
iogr-427	70	13	isolated	isolated	ADJ
iogr-427	70	14	fractures	fracture	NOUN
iogr-427	70	15	that	that	PRON
iogr-427	70	16	have	have	VERB
iogr-427	70	17	no	no	DET
iogr-427	70	18	connections	connection	NOUN
iogr-427	70	19	to	to	ADP
iogr-427	70	20	the	the	DET
iogr-427	70	21	interconnected	interconnected	ADJ
iogr-427	70	22	fracture	fracture	NOUN
iogr-427	70	23	system	system	NOUN
iogr-427	70	24	as	as	SCONJ
iogr-427	70	25	mentioned	mention	VERB
iogr-427	70	26	previously	previously	ADV
iogr-427	70	27	.	.	PUNCT
iogr-427	71	1	the	the	DET
iogr-427	71	2	matrix	matrix	NOUN
iogr-427	71	3	has	have	VERB
iogr-427	71	4	constant	constant	ADJ
iogr-427	71	5	parameters	parameter	NOUN
iogr-427	71	6	:	:	PUNCT
iogr-427	71	7	permeability	permeability	NOUN
iogr-427	71	8	𝑘𝑚	𝑘𝑚	NOUN
iogr-427	71	9	,	,	PUNCT
iogr-427	71	10	porosity	porosity	NOUN
iogr-427	71	11	𝜙𝑚.	𝜙𝑚.	INTJ
iogr-427	71	12	•	•	ADV
iogr-427	71	13	based	base	VERB
iogr-427	71	14	on	on	ADP
iogr-427	71	15	the	the	DET
iogr-427	71	16	nature	nature	NOUN
iogr-427	71	17	of	of	ADP
iogr-427	71	18	the	the	DET
iogr-427	71	19	unconventional	unconventional	ADJ
iogr-427	71	20	reservoir	reservoir	NOUN
iogr-427	71	21	that	that	SCONJ
iogr-427	71	22	the	the	DET
iogr-427	71	23	fractures	fracture	NOUN
iogr-427	71	24	have	have	VERB
iogr-427	71	25	pretty	pretty	ADV
iogr-427	71	26	much	much	ADV
iogr-427	71	27	higher	high	ADJ
iogr-427	71	28	permeability	permeability	NOUN
iogr-427	71	29	than	than	ADP
iogr-427	71	30	matrix	matrix	NOUN
iogr-427	71	31	,	,	PUNCT
iogr-427	71	32	it	it	PRON
iogr-427	71	33	is	be	AUX
iogr-427	71	34	assumed	assume	VERB
iogr-427	71	35	that	that	SCONJ
iogr-427	71	36	the	the	DET
iogr-427	71	37	fluid	fluid	NOUN
iogr-427	71	38	initially	initially	ADV
iogr-427	71	39	located	locate	VERB
iogr-427	71	40	in	in	ADP
iogr-427	71	41	fractures	fracture	NOUN
iogr-427	71	42	only	only	ADV
iogr-427	71	43	transports	transport	NOUN
iogr-427	71	44	in	in	ADP
iogr-427	71	45	the	the	DET
iogr-427	71	46	fracture	fracture	NOUN
iogr-427	71	47	system	system	NOUN
iogr-427	71	48	,	,	PUNCT
iogr-427	71	49	and	and	CCONJ
iogr-427	71	50	that	that	SCONJ
iogr-427	71	51	the	the	DET
iogr-427	71	52	fluid	fluid	NOUN
iogr-427	71	53	initially	initially	ADV
iogr-427	71	54	located	locate	VERB
iogr-427	71	55	in	in	ADP
iogr-427	71	56	the	the	DET
iogr-427	71	57	matrix	matrix	NOUN
iogr-427	71	58	firstly	firstly	ADV
iogr-427	71	59	transports	transport	VERB
iogr-427	71	60	slowly	slowly	ADV
iogr-427	71	61	through	through	ADP
iogr-427	71	62	the	the	DET
iogr-427	71	63	matrix	matrix	NOUN
iogr-427	71	64	into	into	ADP
iogr-427	71	65	the	the	DET
iogr-427	71	66	fracture	fracture	NOUN
iogr-427	71	67	system	system	NOUN
iogr-427	71	68	,	,	PUNCT
iogr-427	71	69	after	after	ADP
iogr-427	71	70	which	which	PRON
iogr-427	71	71	it	it	PRON
iogr-427	71	72	continues	continue	VERB
iogr-427	71	73	transporting	transport	VERB
iogr-427	71	74	only	only	ADV
iogr-427	71	75	in	in	ADP
iogr-427	71	76	the	the	DET
iogr-427	71	77	fracture	fracture	NOUN
iogr-427	71	78	system	system	NOUN
iogr-427	71	79	.	.	PUNCT
iogr-427	72	1	4	4	X
iogr-427	72	2	.	.	PUNCT
iogr-427	72	3	based	base	VERB
iogr-427	72	4	on	on	ADP
iogr-427	72	5	the	the	DET
iogr-427	72	6	above	above	ADJ
iogr-427	72	7	assumptions	assumption	NOUN
iogr-427	72	8	,	,	PUNCT
iogr-427	72	9	the	the	DET
iogr-427	72	10	flow	flow	NOUN
iogr-427	72	11	in	in	ADP
iogr-427	72	12	both	both	DET
iogr-427	72	13	domains	domain	NOUN
iogr-427	72	14	is	be	AUX
iogr-427	72	15	dictated	dictate	VERB
iogr-427	72	16	by	by	ADP
iogr-427	72	17	darcy	darcy	PROPN
iogr-427	72	18	’s	’s	PART
iogr-427	72	19	law	law	NOUN
iogr-427	72	20	.	.	PUNCT
iogr-427	73	1	due	due	ADP
iogr-427	73	2	to	to	ADP
iogr-427	73	3	the	the	DET
iogr-427	73	4	pretty	pretty	ADV
iogr-427	73	5	small	small	ADJ
iogr-427	73	6	size	size	NOUN
iogr-427	73	7	of	of	ADP
iogr-427	73	8	aperture	aperture	NOUN
iogr-427	73	9	𝑏	𝑏	NOUN
iogr-427	73	10	compared	compare	VERB
iogr-427	73	11	to	to	ADP
iogr-427	73	12	ℎ	ℎ	PROPN
iogr-427	73	13	we	we	PRON
iogr-427	73	14	can	can	AUX
iogr-427	73	15	assume	assume	VERB
iogr-427	73	16	laminar	laminar	ADJ
iogr-427	73	17	flow	flow	NOUN
iogr-427	73	18	in	in	ADP
iogr-427	73	19	the	the	DET
iogr-427	73	20	fracture	fracture	NOUN
iogr-427	73	21	system	system	NOUN
iogr-427	73	22	.	.	PUNCT
iogr-427	74	1	the	the	DET
iogr-427	74	2	hydraulic	hydraulic	ADJ
iogr-427	74	3	fractures	fracture	NOUN
iogr-427	74	4	are	be	AUX
iogr-427	74	5	of	of	ADP
iogr-427	74	6	uniform	uniform	ADJ
iogr-427	74	7	spacings	spacing	NOUN
iogr-427	74	8	,	,	PUNCT
iogr-427	74	9	as	as	SCONJ
iogr-427	74	10	shown	show	VERB
iogr-427	74	11	in	in	ADP
iogr-427	74	12	figure	figure	NOUN
iogr-427	74	13	1b	1b	NUM
iogr-427	74	14	,	,	PUNCT
iogr-427	74	15	so	so	SCONJ
iogr-427	74	16	that	that	SCONJ
iogr-427	74	17	each	each	DET
iogr-427	74	18	one	one	NOUN
iogr-427	74	19	is	be	AUX
iogr-427	74	20	located	locate	VERB
iogr-427	74	21	in	in	ADP
iogr-427	74	22	the	the	DET
iogr-427	74	23	center	center	NOUN
iogr-427	74	24	of	of	ADP
iogr-427	74	25	its	its	PRON
iogr-427	74	26	own	own	ADJ
iogr-427	74	27	drainage	drainage	NOUN
iogr-427	74	28	volume	volume	NOUN
iogr-427	74	29	.	.	PUNCT
iogr-427	75	1	by	by	ADP
iogr-427	75	2	the	the	DET
iogr-427	75	3	geometric	geometric	ADJ
iogr-427	75	4	and	and	CCONJ
iogr-427	75	5	physical	physical	ADJ
iogr-427	75	6	symmetry	symmetry	NOUN
iogr-427	75	7	,	,	PUNCT
iogr-427	75	8	we	we	PRON
iogr-427	75	9	regard	regard	VERB
iogr-427	75	10	the	the	DET
iogr-427	75	11	symmetrical	symmetrical	ADJ
iogr-427	75	12	element	element	NOUN
iogr-427	75	13	,	,	PUNCT
iogr-427	75	14	a	a	DET
iogr-427	75	15	quarter	quarter	NOUN
iogr-427	75	16	of	of	ADP
iogr-427	75	17	the	the	DET
iogr-427	75	18	drainage	drainage	NOUN
iogr-427	75	19	area	area	NOUN
iogr-427	75	20	for	for	ADP
iogr-427	75	21	one	one	NUM
iogr-427	75	22	hydraulic	hydraulic	ADJ
iogr-427	75	23	fracture	fracture	NOUN
iogr-427	75	24	,	,	PUNCT
iogr-427	75	25	as	as	ADP
iogr-427	75	26	our	our	PRON
iogr-427	75	27	problem	problem	NOUN
iogr-427	75	28	domain	domain	NOUN
iogr-427	75	29	.	.	PUNCT
iogr-427	76	1	as	as	SCONJ
iogr-427	76	2	shown	show	VERB
iogr-427	76	3	in	in	ADP
iogr-427	76	4	figure	figure	NOUN
iogr-427	76	5	1c	1c	NOUN
iogr-427	76	6	,	,	PUNCT
iogr-427	76	7	it	it	PRON
iogr-427	76	8	has	have	VERB
iogr-427	76	9	the	the	DET
iogr-427	76	10	length	length	NOUN
iogr-427	76	11	𝑙𝑑	𝑙𝑑	PROPN
iogr-427	76	12	,	,	PUNCT
iogr-427	76	13	the	the	DET
iogr-427	76	14	width	width	ADJ
iogr-427	76	15	𝑤𝑑	𝑤𝑑	NOUN
iogr-427	76	16	,	,	PUNCT
iogr-427	76	17	and	and	CCONJ
iogr-427	76	18	the	the	DET
iogr-427	76	19	hydraulic	hydraulic	ADJ
iogr-427	76	20	fracture	fracture	ADJ
iogr-427	76	21	half	half	ADJ
iogr-427	76	22	-	-	PUNCT
iogr-427	76	23	length	length	NOUN
iogr-427	76	24	𝑥𝑓.	𝑥𝑓.	NOUN
iogr-427	76	25	furthermore	furthermore	ADV
iogr-427	76	26	,	,	PUNCT
iogr-427	76	27	the	the	DET
iogr-427	76	28	drainage	drainage	NOUN
iogr-427	76	29	area	area	NOUN
iogr-427	76	30	’s	’s	PART
iogr-427	76	31	outer	outer	ADJ
iogr-427	76	32	boundaries	boundary	NOUN
iogr-427	76	33	are	be	AUX
iogr-427	76	34	of	of	ADP
iogr-427	76	35	no	no	DET
iogr-427	76	36	flow	flow	NOUN
iogr-427	76	37	conditions	condition	NOUN
iogr-427	76	38	,	,	PUNCT
iogr-427	76	39	except	except	SCONJ
iogr-427	76	40	for	for	ADP
iogr-427	76	41	the	the	DET
iogr-427	76	42	part	part	NOUN
iogr-427	76	43	of	of	ADP
iogr-427	76	44	infinite	infinite	NOUN
iogr-427	76	45	-	-	PUNCT
iogr-427	76	46	conductivity	conductivity	NOUN
iogr-427	76	47	fracture	fracture	NOUN
iogr-427	76	48	that	that	PRON
iogr-427	76	49	is	be	AUX
iogr-427	76	50	at	at	ADP
iogr-427	76	51	constant	constant	ADJ
iogr-427	76	52	pressure	pressure	NOUN
iogr-427	76	53	condition	condition	NOUN
iogr-427	76	54	.	.	PUNCT
iogr-427	77	1	for	for	ADP
iogr-427	77	2	simplicity	simplicity	NOUN
iogr-427	77	3	,	,	PUNCT
iogr-427	77	4	we	we	PRON
iogr-427	77	5	also	also	ADV
iogr-427	77	6	neglect	neglect	VERB
iogr-427	77	7	the	the	DET
iogr-427	77	8	flow	flow	NOUN
iogr-427	77	9	in	in	ADP
iogr-427	77	10	fractures	fracture	NOUN
iogr-427	77	11	across	across	ADP
iogr-427	77	12	the	the	DET
iogr-427	77	13	drainage	drainage	NOUN
iogr-427	77	14	area	area	NOUN
iogr-427	77	15	boundary	boundary	NOUN
iogr-427	77	16	,	,	PUNCT
iogr-427	77	17	if	if	SCONJ
iogr-427	77	18	any	any	PRON
iogr-427	77	19	.	.	NOUN
iogr-427	77	20	4	4	NUM
iogr-427	77	21	(	(	PUNCT
iogr-427	77	22	a	a	NOUN
iogr-427	77	23	)	)	PUNCT
iogr-427	77	24	(	(	PUNCT
iogr-427	77	25	b	b	X
iogr-427	77	26	)	)	PUNCT
iogr-427	77	27	(	(	PUNCT
iogr-427	77	28	c	c	X
iogr-427	77	29	)	)	PUNCT
iogr-427	77	30	figure	figure	NOUN
iogr-427	77	31	1	1	NUM
iogr-427	77	32	—	—	PUNCT
iogr-427	77	33	illustrations	illustration	NOUN
iogr-427	77	34	of	of	ADP
iogr-427	77	35	the	the	DET
iogr-427	77	36	fracture	fracture	NOUN
iogr-427	77	37	system	system	NOUN
iogr-427	77	38	and	and	CCONJ
iogr-427	77	39	matrix	matrix	NOUN
iogr-427	77	40	,	,	PUNCT
iogr-427	77	41	the	the	DET
iogr-427	77	42	drainage	drainage	NOUN
iogr-427	77	43	area	area	NOUN
iogr-427	77	44	of	of	ADP
iogr-427	77	45	a	a	DET
iogr-427	77	46	hydraulic	hydraulic	ADJ
iogr-427	77	47	fracture	fracture	NOUN
iogr-427	77	48	,	,	PUNCT
iogr-427	77	49	and	and	CCONJ
iogr-427	77	50	the	the	DET
iogr-427	77	51	problem	problem	NOUN
iogr-427	77	52	domain	domain	NOUN
iogr-427	77	53	.	.	PUNCT
iogr-427	78	1	by	by	ADP
iogr-427	78	2	the	the	DET
iogr-427	78	3	above	above	ADJ
iogr-427	78	4	assumptions	assumption	NOUN
iogr-427	78	5	,	,	PUNCT
iogr-427	78	6	the	the	DET
iogr-427	78	7	problem	problem	NOUN
iogr-427	78	8	has	have	AUX
iogr-427	78	9	been	be	AUX
iogr-427	78	10	reduced	reduce	VERB
iogr-427	78	11	to	to	ADP
iogr-427	78	12	a	a	DET
iogr-427	78	13	2	2	NUM
iogr-427	78	14	-	-	PUNCT
iogr-427	78	15	d	d	ADJ
iogr-427	78	16	single	single	ADJ
iogr-427	78	17	phase	phase	NOUN
iogr-427	78	18	flow	flow	NOUN
iogr-427	78	19	problem	problem	NOUN
iogr-427	78	20	with	with	ADP
iogr-427	78	21	the	the	DET
iogr-427	78	22	gravity	gravity	NOUN
iogr-427	78	23	being	be	AUX
iogr-427	78	24	neglected	neglect	VERB
iogr-427	78	25	.	.	PUNCT
iogr-427	79	1	in	in	ADP
iogr-427	79	2	either	either	CCONJ
iogr-427	79	3	the	the	DET
iogr-427	79	4	homogeneous	homogeneous	ADJ
iogr-427	79	5	and	and	CCONJ
iogr-427	79	6	isotropic	isotropic	ADJ
iogr-427	79	7	domains	domain	NOUN
iogr-427	79	8	,	,	PUNCT
iogr-427	79	9	the	the	DET
iogr-427	79	10	matrix	matrix	NOUN
iogr-427	79	11	or	or	CCONJ
iogr-427	79	12	the	the	DET
iogr-427	79	13	fracture	fracture	NOUN
iogr-427	79	14	system	system	NOUN
iogr-427	79	15	,	,	PUNCT
iogr-427	79	16	the	the	DET
iogr-427	79	17	pressure	pressure	NOUN
iogr-427	79	18	distribution	distribution	NOUN
iogr-427	79	19	of	of	ADP
iogr-427	79	20	slightly	slightly	ADV
iogr-427	79	21	compressible	compressible	ADJ
iogr-427	79	22	flow	flow	NOUN
iogr-427	79	23	can	can	AUX
iogr-427	79	24	be	be	AUX
iogr-427	79	25	mathematically	mathematically	ADV
iogr-427	79	26	modeled	model	VERB
iogr-427	79	27	by	by	ADP
iogr-427	79	28	the	the	DET
iogr-427	79	29	diffusivity	diffusivity	NOUN
iogr-427	79	30	equation	equation	NOUN
iogr-427	79	31	(	(	PUNCT
iogr-427	79	32	eq	eq	NOUN
iogr-427	79	33	.	.	PROPN
iogr-427	79	34	1	1	NUM
iogr-427	79	35	)	)	PUNCT
iogr-427	79	36	.	.	PUNCT
iogr-427	80	1	𝑘𝑖	𝑘𝑖	PUNCT
iogr-427	80	2	𝜇	𝜇	ADP
iogr-427	80	3	∆𝑝𝑖	∆𝑝𝑖	PROPN
iogr-427	80	4	=	=	SYM
iogr-427	80	5	𝜙𝑖𝑐𝑡𝑖	𝜙𝑖𝑐𝑡𝑖	ADJ
iogr-427	80	6	𝜕𝑝𝑖	𝜕𝑝𝑖	NOUN
iogr-427	80	7	𝜕𝑡	𝜕𝑡	PROPN
iogr-427	80	8	,	,	PUNCT
iogr-427	80	9	…	…	PUNCT
iogr-427	80	10	…	…	PUNCT
iogr-427	80	11	…	…	PUNCT
iogr-427	80	12	…	…	PUNCT
iogr-427	80	13	…	…	PUNCT
iogr-427	80	14	…	…	PUNCT
iogr-427	80	15	…	…	PUNCT
iogr-427	80	16	…	…	PUNCT
iogr-427	80	17	…	…	PUNCT
iogr-427	80	18	…	…	PUNCT
iogr-427	80	19	…	…	PUNCT
iogr-427	80	20	…	…	PUNCT
iogr-427	80	21	…	…	PUNCT
iogr-427	80	22	…	…	PUNCT
iogr-427	80	23	…	…	PUNCT
iogr-427	80	24	…	…	PUNCT
iogr-427	80	25	…	…	PUNCT
iogr-427	80	26	…	…	PUNCT
iogr-427	80	27	…	…	PUNCT
iogr-427	80	28	…	…	PUNCT
iogr-427	80	29	…	…	PUNCT
iogr-427	80	30	…	…	PUNCT
iogr-427	80	31	…	…	PUNCT
iogr-427	80	32	…	…	PUNCT
iogr-427	80	33	…	…	PUNCT
iogr-427	80	34	…	…	PUNCT
iogr-427	80	35	…	…	PUNCT
iogr-427	80	36	…	…	PUNCT
iogr-427	80	37	…	…	SYM
iogr-427	80	38	.	.	NUM
iogr-427	80	39	…	…	PUNCT
iogr-427	80	40	...	...	PUNCT
iogr-427	80	41	…	…	PUNCT
iogr-427	80	42	…	…	PUNCT
iogr-427	80	43	(1	(1	X
iogr-427	80	44	)	)	PUNCT
iogr-427	80	45	where	where	SCONJ
iogr-427	80	46	𝑖	𝑖	ADP
iogr-427	80	47	=	=	VERB
iogr-427	80	48	𝑓,𝑚	𝑓,𝑚	NOUN
iogr-427	80	49	and	and	CCONJ
iogr-427	80	50	𝑝𝑖	𝑝𝑖	PROPN
iogr-427	80	51	is	be	AUX
iogr-427	80	52	the	the	DET
iogr-427	80	53	pressure	pressure	NOUN
iogr-427	80	54	in	in	ADP
iogr-427	80	55	domain	domain	NOUN
iogr-427	80	56	𝑖.	𝑖.	ADV
iogr-427	80	57	since	since	SCONJ
iogr-427	80	58	the	the	DET
iogr-427	80	59	properties	property	NOUN
iogr-427	80	60	are	be	AUX
iogr-427	80	61	constant	constant	ADJ
iogr-427	80	62	in	in	ADP
iogr-427	80	63	each	each	DET
iogr-427	80	64	domain	domain	NOUN
iogr-427	80	65	,	,	PUNCT
iogr-427	80	66	eq.1	eq.1	PROPN
iogr-427	80	67	can	can	AUX
iogr-427	80	68	be	be	AUX
iogr-427	80	69	rearranged	rearrange	VERB
iogr-427	80	70	into	into	ADP
iogr-427	80	71	the	the	DET
iogr-427	80	72	form	form	NOUN
iogr-427	80	73	as	as	SCONJ
iogr-427	80	74	shown	show	VERB
iogr-427	80	75	in	in	ADP
iogr-427	80	76	eq	eq	ADJ
iogr-427	80	77	.	.	PROPN
iogr-427	81	1	2	2	X
iogr-427	81	2	.	.	X
iogr-427	81	3	𝑘𝑖	𝑘𝑖	AUX
iogr-427	81	4	𝜇𝜙𝑖𝑐𝑡𝑖	𝜇𝜙𝑖𝑐𝑡𝑖	NOUN
iogr-427	81	5	∆𝑝𝑖	∆𝑝𝑖	NOUN
iogr-427	81	6	=	=	PUNCT
iogr-427	82	1	𝜕𝑝𝑖	𝜕𝑝𝑖	PRON
iogr-427	82	2	𝜕𝑡	𝜕𝑡	NOUN
iogr-427	82	3	...	...	PUNCT
iogr-427	82	4	…	…	PUNCT
iogr-427	82	5	…	…	PUNCT
iogr-427	82	6	……	……	NOUN
iogr-427	82	7	……	……	NOUN
iogr-427	82	8	……	……	NOUN
iogr-427	82	9	…	…	PUNCT
iogr-427	82	10	…	…	SYM
iogr-427	82	11	…	…	PUNCT
iogr-427	82	12	…	…	PUNCT
iogr-427	82	13	…	…	PUNCT
iogr-427	82	14	…	…	PUNCT
iogr-427	82	15	…	…	PUNCT
iogr-427	82	16	…	…	PUNCT
iogr-427	82	17	…	…	PUNCT
iogr-427	82	18	…	…	PUNCT
iogr-427	82	19	…	…	PUNCT
iogr-427	82	20	..	..	PUNCT
iogr-427	82	21	…	…	PUNCT
iogr-427	82	22	…	…	PUNCT
iogr-427	82	23	…	…	PUNCT
iogr-427	82	24	…	…	PUNCT
iogr-427	82	25	…	…	PUNCT
iogr-427	82	26	…	…	PUNCT
iogr-427	82	27	…	…	PUNCT
iogr-427	82	28	…	…	SYM
iogr-427	82	29	.	.	NUM
iogr-427	82	30	…	…	PUNCT
iogr-427	82	31	…	…	PUNCT
iogr-427	82	32	…	…	PUNCT
iogr-427	82	33	…	…	PUNCT
iogr-427	82	34	…	…	PUNCT
iogr-427	82	35	(2	(2	NUM
iogr-427	82	36	)	)	PUNCT
iogr-427	82	37	as	as	ADP
iogr-427	82	38	a	a	DET
iogr-427	82	39	regular	regular	ADJ
iogr-427	82	40	step	step	NOUN
iogr-427	82	41	,	,	PUNCT
iogr-427	82	42	we	we	PRON
iogr-427	82	43	wrap	wrap	VERB
iogr-427	82	44	up	up	ADP
iogr-427	82	45	into	into	ADP
iogr-427	82	46	a	a	DET
iogr-427	82	47	single	single	ADJ
iogr-427	82	48	parameter	parameter	NOUN
iogr-427	82	49	the	the	DET
iogr-427	82	50	parameters	parameter	NOUN
iogr-427	82	51	on	on	ADP
iogr-427	82	52	the	the	DET
iogr-427	82	53	left	left	ADJ
iogr-427	82	54	-	-	PUNCT
iogr-427	82	55	hand	hand	NOUN
iogr-427	82	56	-	-	PUNCT
iogr-427	82	57	side	side	NOUN
iogr-427	82	58	before	before	ADP
iogr-427	82	59	the	the	DET
iogr-427	82	60	laplace	laplace	NOUN
iogr-427	82	61	operator	operator	NOUN
iogr-427	82	62	.	.	PUNCT
iogr-427	83	1	in	in	ADP
iogr-427	83	2	eq	eq	ADP
iogr-427	83	3	.	.	PROPN
iogr-427	83	4	3	3	NUM
iogr-427	83	5	the	the	DET
iogr-427	83	6	parameter	parameter	NOUN
iogr-427	83	7	𝜂𝑖	𝜂𝑖	PROPN
iogr-427	83	8	is	be	AUX
iogr-427	83	9	usually	usually	ADV
iogr-427	83	10	called	call	VERB
iogr-427	83	11	the	the	DET
iogr-427	83	12	hydraulic	hydraulic	ADJ
iogr-427	83	13	diffusivity	diffusivity	NOUN
iogr-427	83	14	coefficient	coefficient	NOUN
iogr-427	83	15	with	with	ADP
iogr-427	83	16	the	the	DET
iogr-427	83	17	unit	unit	NOUN
iogr-427	83	18	m2	m2	PROPN
iogr-427	83	19	s⁄	s⁄	PROPN
iogr-427	83	20	in	in	ADP
iogr-427	83	21	si	si	PROPN
iogr-427	83	22	unit	unit	NOUN
iogr-427	83	23	.	.	PUNCT
iogr-427	84	1	obviously	obviously	ADV
iogr-427	84	2	,	,	PUNCT
iogr-427	84	3	𝜂𝑖	𝜂𝑖	PROPN
iogr-427	84	4	is	be	AUX
iogr-427	84	5	also	also	ADV
iogr-427	84	6	a	a	DET
iogr-427	84	7	constant	constant	ADJ
iogr-427	84	8	parameter	parameter	NOUN
iogr-427	84	9	in	in	ADP
iogr-427	84	10	either	either	CCONJ
iogr-427	84	11	the	the	DET
iogr-427	84	12	fracture	fracture	NOUN
iogr-427	84	13	system	system	NOUN
iogr-427	84	14	or	or	CCONJ
iogr-427	84	15	the	the	DET
iogr-427	84	16	matrix	matrix	NOUN
iogr-427	84	17	.	.	PUNCT
iogr-427	85	1	substituting	substitute	VERB
iogr-427	85	2	𝜂𝑖	𝜂𝑖	PROPN
iogr-427	85	3	back	back	ADV
iogr-427	85	4	into	into	ADP
iogr-427	85	5	eq	eq	NOUN
iogr-427	85	6	.	.	PROPN
iogr-427	85	7	1	1	NUM
iogr-427	85	8	gives	give	VERB
iogr-427	85	9	us	we	PRON
iogr-427	85	10	a	a	DET
iogr-427	85	11	result	result	NOUN
iogr-427	85	12	which	which	PRON
iogr-427	85	13	has	have	VERB
iogr-427	85	14	the	the	DET
iogr-427	85	15	form	form	NOUN
iogr-427	85	16	of	of	ADP
iogr-427	85	17	the	the	DET
iogr-427	85	18	equation	equation	NOUN
iogr-427	85	19	dictating	dictate	VERB
iogr-427	85	20	the	the	DET
iogr-427	85	21	general	general	ADJ
iogr-427	85	22	diffusion	diffusion	NOUN
iogr-427	85	23	process	process	NOUN
iogr-427	85	24	(	(	PUNCT
iogr-427	85	25	eq	eq	NOUN
iogr-427	85	26	.	.	NOUN
iogr-427	85	27	4	4	NUM
iogr-427	85	28	)	)	PUNCT
iogr-427	85	29	,	,	PUNCT
iogr-427	85	30	as	as	SCONJ
iogr-427	85	31	shown	show	VERB
iogr-427	85	32	in	in	ADP
iogr-427	85	33	eq	eq	ADJ
iogr-427	85	34	.	.	PROPN
iogr-427	85	35	5	5	NUM
iogr-427	85	36	.	.	X
iogr-427	85	37	𝜂𝑖	𝜂𝑖	NOUN
iogr-427	85	38	=	=	PRON
iogr-427	85	39	𝑘𝑖	𝑘𝑖	NOUN
iogr-427	85	40	𝜇𝜙𝑖𝑐𝑡𝑖	𝜇𝜙𝑖𝑐𝑡𝑖	NOUN
iogr-427	85	41	,	,	PUNCT
iogr-427	85	42	…	…	PUNCT
iogr-427	85	43	…	…	PUNCT
iogr-427	85	44	…	…	PUNCT
iogr-427	85	45	…	…	PUNCT
iogr-427	85	46	…	…	PUNCT
iogr-427	85	47	..	..	PUNCT
iogr-427	85	48	…	…	PUNCT
iogr-427	85	49	…	…	PUNCT
iogr-427	85	50	…	…	PUNCT
iogr-427	85	51	…	…	PUNCT
iogr-427	85	52	…	…	PUNCT
iogr-427	85	53	..	..	PUNCT
iogr-427	85	54	…	…	PUNCT
iogr-427	85	55	…	…	PUNCT
iogr-427	85	56	…	…	PUNCT
iogr-427	85	57	……	……	NOUN
iogr-427	85	58	……	……	NOUN
iogr-427	85	59	……	……	NOUN
iogr-427	85	60	..	..	PUNCT
iogr-427	85	61	…	…	PUNCT
iogr-427	85	62	..	..	PUNCT
iogr-427	85	63	…	…	PUNCT
iogr-427	85	64	……	……	NOUN
iogr-427	85	65	……	……	NOUN
iogr-427	85	66	……	……	NOUN
iogr-427	85	67	……	……	NOUN
iogr-427	85	68	……	……	NOUN
iogr-427	85	69	……	……	NOUN
iogr-427	85	70	.	.	PUNCT
iogr-427	86	1	(	(	PUNCT
iogr-427	86	2	3	3	X
iogr-427	86	3	)	)	PUNCT
iogr-427	86	4	𝐷∆𝐶	𝐷∆𝐶	NOUN
iogr-427	86	5	=	=	SYM
iogr-427	86	6	𝜕𝐶	𝜕𝐶	PROPN
iogr-427	86	7	𝜕𝑡	𝜕𝑡	NOUN
iogr-427	86	8	,	,	PUNCT
iogr-427	86	9	…	…	PUNCT
iogr-427	86	10	…	…	PUNCT
iogr-427	86	11	…	…	PUNCT
iogr-427	86	12	…	…	PUNCT
iogr-427	86	13	…	…	PUNCT
iogr-427	86	14	…	…	PUNCT
iogr-427	86	15	…	…	PUNCT
iogr-427	86	16	…	…	PUNCT
iogr-427	86	17	…	…	PUNCT
iogr-427	86	18	…	…	PUNCT
iogr-427	86	19	…	…	PUNCT
iogr-427	86	20	…	…	PUNCT
iogr-427	86	21	…	…	PUNCT
iogr-427	86	22	…	…	PUNCT
iogr-427	86	23	…	…	PUNCT
iogr-427	86	24	…	…	PUNCT
iogr-427	86	25	…	…	PUNCT
iogr-427	86	26	…	…	PUNCT
iogr-427	86	27	…	…	PUNCT
iogr-427	86	28	…	…	PUNCT
iogr-427	86	29	…	…	PUNCT
iogr-427	86	30	…	…	SYM
iogr-427	86	31	.	.	NUM
iogr-427	86	32	…	…	PUNCT
iogr-427	86	33	…	…	PUNCT
iogr-427	86	34	…	…	PUNCT
iogr-427	86	35	…	…	PUNCT
iogr-427	86	36	…	…	PUNCT
iogr-427	86	37	…	…	PUNCT
iogr-427	86	38	…	…	PUNCT
iogr-427	86	39	…	…	PUNCT
iogr-427	86	40	…	…	PUNCT
iogr-427	86	41	…	…	PUNCT
iogr-427	86	42	…	…	PUNCT
iogr-427	86	43	…	…	PUNCT
iogr-427	86	44	…	…	PUNCT
iogr-427	86	45	..	..	PUNCT
iogr-427	86	46	(4	(4	SYM
iogr-427	86	47	)	)	PUNCT
iogr-427	86	48	horizontal	horizontal	ADJ
iogr-427	86	49	wellbore	wellbore	NOUN
iogr-427	86	50	hydraulic	hydraulic	PROPN
iogr-427	86	51	fracture	fracture	PROPN
iogr-427	86	52	natural	natural	ADJ
iogr-427	86	53	fractures	fracture	NOUN
iogr-427	86	54	&	&	CCONJ
iogr-427	86	55	induced	induced	ADJ
iogr-427	86	56	fractures	fracture	NOUN
iogr-427	86	57	drainage	drainage	NOUN
iogr-427	86	58	area	area	NOUN
iogr-427	86	59	wd	wd	PROPN
iogr-427	86	60	ld	ld	PROPN
iogr-427	86	61	xf	xf	PROPN
iogr-427	86	62	5	5	NUM
iogr-427	86	63	𝜂𝑖∆𝑝𝑖	𝜂𝑖∆𝑝𝑖	NOUN
iogr-427	86	64	=	=	PUNCT
iogr-427	87	1	𝜕𝑝𝑖	𝜕𝑝𝑖	NOUN
iogr-427	88	1	𝜕𝑡	𝜕𝑡	PROPN
iogr-427	88	2	.	.	PUNCT
iogr-427	88	3	…	…	PUNCT
iogr-427	88	4	…	…	PUNCT
iogr-427	88	5	…	…	PUNCT
iogr-427	88	6	…	…	PUNCT
iogr-427	88	7	…	…	PUNCT
iogr-427	88	8	…	…	PUNCT
iogr-427	88	9	…	…	PUNCT
iogr-427	88	10	…	…	PUNCT
iogr-427	88	11	…	…	PUNCT
iogr-427	88	12	…	…	PUNCT
iogr-427	88	13	…	…	PUNCT
iogr-427	88	14	…	…	PUNCT
iogr-427	88	15	…	…	PUNCT
iogr-427	88	16	…	…	PUNCT
iogr-427	88	17	…	…	PUNCT
iogr-427	88	18	…	…	PUNCT
iogr-427	88	19	…	…	PUNCT
iogr-427	88	20	…	…	PUNCT
iogr-427	88	21	…	…	PUNCT
iogr-427	88	22	…	…	SYM
iogr-427	88	23	.	.	NUM
iogr-427	88	24	…	…	PUNCT
iogr-427	88	25	…	…	PUNCT
iogr-427	88	26	…	…	PUNCT
iogr-427	88	27	…	…	PUNCT
iogr-427	88	28	…	…	PUNCT
iogr-427	88	29	…	…	PUNCT
iogr-427	88	30	…	…	PUNCT
iogr-427	88	31	…	…	PUNCT
iogr-427	88	32	…	…	PUNCT
iogr-427	88	33	…	…	PUNCT
iogr-427	88	34	…	…	PUNCT
iogr-427	88	35	…	…	PUNCT
iogr-427	88	36	…	…	PUNCT
iogr-427	88	37	…	…	SYM
iogr-427	88	38	…	…	PUNCT
iogr-427	88	39	(5	(5	X
iogr-427	88	40	)	)	PUNCT
iogr-427	88	41	since	since	SCONJ
iogr-427	88	42	𝐷	𝐷	PROPN
iogr-427	88	43	and	and	CCONJ
iogr-427	88	44	𝜂𝑖	𝜂𝑖	PROPN
iogr-427	88	45	have	have	VERB
iogr-427	88	46	the	the	DET
iogr-427	88	47	same	same	ADJ
iogr-427	88	48	dimension	dimension	NOUN
iogr-427	88	49	and	and	CCONJ
iogr-427	88	50	the	the	DET
iogr-427	88	51	above	above	ADJ
iogr-427	88	52	two	two	NUM
iogr-427	88	53	equations	equation	NOUN
iogr-427	88	54	share	share	VERB
iogr-427	88	55	the	the	DET
iogr-427	88	56	same	same	ADJ
iogr-427	88	57	form	form	NOUN
iogr-427	88	58	,	,	PUNCT
iogr-427	88	59	there	there	PRON
iogr-427	88	60	should	should	AUX
iogr-427	88	61	be	be	AUX
iogr-427	88	62	some	some	DET
iogr-427	88	63	physical	physical	ADJ
iogr-427	88	64	analogy	analogy	NOUN
iogr-427	88	65	between	between	ADP
iogr-427	88	66	the	the	DET
iogr-427	88	67	pressure	pressure	NOUN
iogr-427	88	68	𝑝𝑖	𝑝𝑖	NOUN
iogr-427	88	69	and	and	CCONJ
iogr-427	88	70	the	the	DET
iogr-427	88	71	concentration	concentration	NOUN
iogr-427	88	72	𝐶.	𝐶.	PROPN
iogr-427	88	73	with	with	ADP
iogr-427	88	74	the	the	DET
iogr-427	88	75	assumption	assumption	NOUN
iogr-427	88	76	of	of	ADP
iogr-427	88	77	slightly	slightly	ADV
iogr-427	88	78	compressible	compressible	ADJ
iogr-427	88	79	fluid	fluid	NOUN
iogr-427	88	80	,	,	PUNCT
iogr-427	88	81	the	the	DET
iogr-427	88	82	relation	relation	NOUN
iogr-427	88	83	between	between	ADP
iogr-427	88	84	the	the	DET
iogr-427	88	85	pressure	pressure	NOUN
iogr-427	88	86	and	and	CCONJ
iogr-427	88	87	density	density	NOUN
iogr-427	88	88	is	be	AUX
iogr-427	88	89	linear	linear	ADJ
iogr-427	88	90	,	,	PUNCT
iogr-427	88	91	which	which	PRON
iogr-427	88	92	means	mean	VERB
iogr-427	88	93	that	that	SCONJ
iogr-427	88	94	pressure	pressure	NOUN
iogr-427	88	95	is	be	AUX
iogr-427	88	96	equivalent	equivalent	ADJ
iogr-427	88	97	to	to	ADP
iogr-427	88	98	density	density	NOUN
iogr-427	88	99	in	in	ADP
iogr-427	88	100	this	this	DET
iogr-427	88	101	case	case	NOUN
iogr-427	88	102	.	.	PUNCT
iogr-427	89	1	thus	thus	ADV
iogr-427	89	2	,	,	PUNCT
iogr-427	89	3	pressure	pressure	NOUN
iogr-427	89	4	can	can	AUX
iogr-427	89	5	be	be	AUX
iogr-427	89	6	taken	take	VERB
iogr-427	89	7	as	as	ADP
iogr-427	89	8	some	some	DET
iogr-427	89	9	type	type	NOUN
iogr-427	89	10	of	of	ADP
iogr-427	89	11	“	"	PUNCT
iogr-427	89	12	density	density	NOUN
iogr-427	89	13	”	"	PUNCT
iogr-427	89	14	or	or	CCONJ
iogr-427	89	15	“	"	PUNCT
iogr-427	89	16	concentration	concentration	NOUN
iogr-427	89	17	”	"	PUNCT
iogr-427	89	18	for	for	ADP
iogr-427	89	19	the	the	DET
iogr-427	89	20	single	single	ADJ
iogr-427	89	21	-	-	PUNCT
iogr-427	89	22	phase	phase	NOUN
iogr-427	89	23	fluid	fluid	ADJ
iogr-427	89	24	particles	particle	NOUN
iogr-427	89	25	.	.	PUNCT
iogr-427	90	1	in	in	ADP
iogr-427	90	2	this	this	DET
iogr-427	90	3	perspective	perspective	NOUN
iogr-427	90	4	,	,	PUNCT
iogr-427	90	5	eq.5	eq.5	PROPN
iogr-427	90	6	describes	describe	VERB
iogr-427	90	7	the	the	DET
iogr-427	90	8	aggregate	aggregate	ADJ
iogr-427	90	9	behavior	behavior	NOUN
iogr-427	90	10	of	of	ADP
iogr-427	90	11	the	the	DET
iogr-427	90	12	huge	huge	ADJ
iogr-427	90	13	number	number	NOUN
iogr-427	90	14	of	of	ADP
iogr-427	90	15	fluid	fluid	ADJ
iogr-427	90	16	particles	particle	NOUN
iogr-427	90	17	in	in	ADP
iogr-427	90	18	the	the	DET
iogr-427	90	19	porous	porous	ADJ
iogr-427	90	20	media	medium	NOUN
iogr-427	90	21	.	.	PUNCT
iogr-427	91	1	by	by	ADP
iogr-427	91	2	the	the	DET
iogr-427	91	3	theory	theory	NOUN
iogr-427	91	4	of	of	ADP
iogr-427	91	5	normal	normal	ADJ
iogr-427	91	6	diffusion	diffusion	NOUN
iogr-427	91	7	(	(	PUNCT
iogr-427	91	8	vlahos	vlahos	NOUN
iogr-427	91	9	2008	2008	NUM
iogr-427	91	10	)	)	PUNCT
iogr-427	91	11	,	,	PUNCT
iogr-427	91	12	which	which	PRON
iogr-427	91	13	has	have	AUX
iogr-427	91	14	been	be	AUX
iogr-427	91	15	investigated	investigate	VERB
iogr-427	91	16	since	since	SCONJ
iogr-427	91	17	einstein	einstein	NOUN
iogr-427	91	18	(	(	PUNCT
iogr-427	91	19	1905	1905	NUM
iogr-427	91	20	)	)	PUNCT
iogr-427	91	21	’s	’s	PART
iogr-427	91	22	work	work	NOUN
iogr-427	91	23	on	on	ADP
iogr-427	91	24	brownian	brownian	ADJ
iogr-427	91	25	motion	motion	NOUN
iogr-427	91	26	,	,	PUNCT
iogr-427	91	27	the	the	DET
iogr-427	91	28	msd	msd	NOUN
iogr-427	91	29	,	,	PUNCT
iogr-427	91	30	〈	〈	NOUN
iogr-427	91	31	𝑟2	𝑟2	NOUN
iogr-427	91	32	〉	〉	NOUN
iogr-427	91	33	,	,	PUNCT
iogr-427	91	34	of	of	ADP
iogr-427	91	35	the	the	DET
iogr-427	91	36	fluid	fluid	ADJ
iogr-427	91	37	particles	particle	NOUN
iogr-427	91	38	is	be	AUX
iogr-427	91	39	related	relate	VERB
iogr-427	91	40	to	to	ADP
iogr-427	91	41	the	the	DET
iogr-427	91	42	time	time	NOUN
iogr-427	91	43	𝑡	𝑡	NOUN
iogr-427	91	44	by	by	ADP
iogr-427	91	45	the	the	DET
iogr-427	91	46	diffusivity	diffusivity	NOUN
iogr-427	91	47	coefficient	coefficient	PROPN
iogr-427	91	48	𝐷	𝐷	PROPN
iogr-427	91	49	,	,	PUNCT
iogr-427	91	50	as	as	SCONJ
iogr-427	91	51	shown	show	VERB
iogr-427	91	52	in	in	ADP
iogr-427	91	53	eq	eq	ADP
iogr-427	91	54	.	.	PROPN
iogr-427	91	55	6	6	NUM
iogr-427	91	56	.	.	PUNCT
iogr-427	92	1	eq	eq	NOUN
iogr-427	92	2	.	.	NOUN
iogr-427	92	3	5	5	NUM
iogr-427	92	4	can	can	AUX
iogr-427	92	5	be	be	AUX
iogr-427	92	6	derived	derive	VERB
iogr-427	92	7	from	from	ADP
iogr-427	92	8	eq	eq	ADP
iogr-427	92	9	.	.	PROPN
iogr-427	92	10	6	6	NUM
iogr-427	92	11	(	(	PUNCT
iogr-427	92	12	vlahos	vlahos	NOUN
iogr-427	92	13	2008	2008	NUM
iogr-427	92	14	)	)	PUNCT
iogr-427	92	15	,	,	PUNCT
iogr-427	92	16	which	which	PRON
iogr-427	92	17	means	mean	VERB
iogr-427	92	18	eq	eq	ADJ
iogr-427	92	19	.	.	PROPN
iogr-427	92	20	5	5	NUM
iogr-427	92	21	is	be	AUX
iogr-427	92	22	only	only	ADV
iogr-427	92	23	valid	valid	ADJ
iogr-427	92	24	for	for	ADP
iogr-427	92	25	the	the	DET
iogr-427	92	26	aggregate	aggregate	ADJ
iogr-427	92	27	behavior	behavior	NOUN
iogr-427	92	28	of	of	ADP
iogr-427	92	29	those	those	DET
iogr-427	92	30	particles	particle	NOUN
iogr-427	92	31	whose	whose	DET
iogr-427	92	32	msd	msd	NOUN
iogr-427	92	33	vs.	vs.	ADP
iogr-427	92	34	𝑡	𝑡	PROPN
iogr-427	92	35	relationship	relationship	NOUN
iogr-427	92	36	is	be	AUX
iogr-427	92	37	dictated	dictate	VERB
iogr-427	92	38	by	by	ADP
iogr-427	92	39	eq	eq	PROPN
iogr-427	92	40	.	.	PROPN
iogr-427	92	41	6	6	NUM
iogr-427	92	42	.	.	X
iogr-427	93	1	that	that	PRON
iogr-427	93	2	is	is	ADV
iogr-427	93	3	,	,	PUNCT
iogr-427	93	4	the	the	DET
iogr-427	93	5	validity	validity	NOUN
iogr-427	93	6	for	for	ADP
iogr-427	93	7	using	use	VERB
iogr-427	93	8	eq	eq	ADP
iogr-427	93	9	.	.	PROPN
iogr-427	93	10	5	5	NUM
iogr-427	93	11	for	for	ADP
iogr-427	93	12	a	a	DET
iogr-427	93	13	flow	flow	NOUN
iogr-427	93	14	on	on	ADP
iogr-427	93	15	the	the	DET
iogr-427	93	16	domain	domain	NOUN
iogr-427	93	17	with	with	ADP
iogr-427	93	18	a	a	DET
iogr-427	93	19	specified	specify	VERB
iogr-427	93	20	scale	scale	NOUN
iogr-427	93	21	depends	depend	VERB
iogr-427	93	22	on	on	ADP
iogr-427	93	23	the	the	DET
iogr-427	93	24	validity	validity	NOUN
iogr-427	93	25	of	of	ADP
iogr-427	93	26	eq	eq	PROPN
iogr-427	93	27	.	.	PROPN
iogr-427	93	28	6	6	NUM
iogr-427	93	29	for	for	ADP
iogr-427	93	30	the	the	DET
iogr-427	93	31	fluid	fluid	ADJ
iogr-427	93	32	particles	particle	NOUN
iogr-427	93	33	in	in	ADP
iogr-427	93	34	the	the	DET
iogr-427	93	35	same	same	ADJ
iogr-427	93	36	domain	domain	NOUN
iogr-427	93	37	.	.	PUNCT
iogr-427	94	1	〈	〈	NOUN
iogr-427	94	2	𝑟2	𝑟2	NOUN
iogr-427	94	3	〉	〉	NOUN
iogr-427	94	4	~	~	PUNCT
iogr-427	94	5	𝑡.	𝑡.	NOUN
iogr-427	94	6	…	…	NUM
iogr-427	94	7	…	…	PUNCT
iogr-427	94	8	…	…	PUNCT
iogr-427	94	9	…	…	PUNCT
iogr-427	94	10	…	…	PUNCT
iogr-427	94	11	…	…	PUNCT
iogr-427	94	12	…	…	PUNCT
iogr-427	94	13	…	…	PUNCT
iogr-427	94	14	…	…	PUNCT
iogr-427	94	15	…	…	PUNCT
iogr-427	94	16	…	…	PUNCT
iogr-427	94	17	…	…	PUNCT
iogr-427	94	18	…	…	PUNCT
iogr-427	94	19	…	…	PUNCT
iogr-427	94	20	…	…	PUNCT
iogr-427	94	21	…	…	PUNCT
iogr-427	94	22	…	…	PUNCT
iogr-427	94	23	…	…	PUNCT
iogr-427	94	24	…	…	PUNCT
iogr-427	94	25	…	…	PUNCT
iogr-427	94	26	…	…	PUNCT
iogr-427	94	27	…	…	PUNCT
iogr-427	94	28	…	…	PUNCT
iogr-427	94	29	…	…	PUNCT
iogr-427	94	30	…	…	PUNCT
iogr-427	94	31	…	…	PUNCT
iogr-427	94	32	…	…	PUNCT
iogr-427	94	33	…	…	PUNCT
iogr-427	94	34	…	…	PUNCT
iogr-427	94	35	…	…	PUNCT
iogr-427	94	36	…	…	SYM
iogr-427	94	37	.	.	NUM
iogr-427	94	38	…	…	PUNCT
iogr-427	94	39	…	…	PUNCT
iogr-427	94	40	…	…	PUNCT
iogr-427	94	41	…	…	PUNCT
iogr-427	94	42	…	…	PUNCT
iogr-427	94	43	..	..	PUNCT
iogr-427	94	44	(6	(6	PUNCT
iogr-427	94	45	)	)	PUNCT
iogr-427	94	46	according	accord	VERB
iogr-427	94	47	to	to	ADP
iogr-427	94	48	the	the	DET
iogr-427	94	49	above	above	ADJ
iogr-427	94	50	analysis	analysis	NOUN
iogr-427	94	51	,	,	PUNCT
iogr-427	94	52	the	the	DET
iogr-427	94	53	reason	reason	NOUN
iogr-427	94	54	why	why	SCONJ
iogr-427	94	55	eq	eq	ADJ
iogr-427	94	56	.	.	NOUN
iogr-427	94	57	5	5	NUM
iogr-427	94	58	can	can	AUX
iogr-427	94	59	be	be	AUX
iogr-427	94	60	successfully	successfully	ADV
iogr-427	94	61	applied	apply	VERB
iogr-427	94	62	to	to	ADP
iogr-427	94	63	the	the	DET
iogr-427	94	64	conventional	conventional	ADJ
iogr-427	94	65	reservoir	reservoir	NOUN
iogr-427	94	66	’s	’s	PART
iogr-427	94	67	flow	flow	NOUN
iogr-427	94	68	in	in	ADP
iogr-427	94	69	multiple	multiple	ADJ
iogr-427	94	70	scales	scale	NOUN
iogr-427	94	71	is	be	AUX
iogr-427	94	72	that	that	SCONJ
iogr-427	94	73	the	the	DET
iogr-427	94	74	fluid	fluid	ADJ
iogr-427	94	75	particles	particle	NOUN
iogr-427	94	76	moves	move	VERB
iogr-427	94	77	approximately	approximately	ADV
iogr-427	94	78	in	in	ADP
iogr-427	94	79	a	a	DET
iogr-427	94	80	euclidean	euclidean	ADJ
iogr-427	94	81	space	space	NOUN
iogr-427	94	82	due	due	ADP
iogr-427	94	83	to	to	ADP
iogr-427	94	84	the	the	DET
iogr-427	94	85	relatively	relatively	ADV
iogr-427	94	86	homogeneous	homogeneous	ADJ
iogr-427	94	87	porous	porous	ADJ
iogr-427	94	88	media	medium	NOUN
iogr-427	94	89	,	,	PUNCT
iogr-427	94	90	and	and	CCONJ
iogr-427	94	91	that	that	SCONJ
iogr-427	94	92	the	the	DET
iogr-427	94	93	average	average	ADJ
iogr-427	94	94	motion	motion	NOUN
iogr-427	94	95	of	of	ADP
iogr-427	94	96	the	the	DET
iogr-427	94	97	particles	particle	NOUN
iogr-427	94	98	is	be	AUX
iogr-427	94	99	dictated	dictate	VERB
iogr-427	94	100	by	by	ADP
iogr-427	94	101	eq.6	eq.6	PROPN
iogr-427	94	102	.	.	PUNCT
iogr-427	95	1	and	and	CCONJ
iogr-427	95	2	for	for	ADP
iogr-427	95	3	the	the	DET
iogr-427	95	4	same	same	ADJ
iogr-427	95	5	reason	reason	NOUN
iogr-427	95	6	,	,	PUNCT
iogr-427	95	7	eq	eq	NOUN
iogr-427	95	8	.	.	NOUN
iogr-427	95	9	5	5	NUM
iogr-427	95	10	is	be	AUX
iogr-427	95	11	also	also	ADV
iogr-427	95	12	valid	valid	ADJ
iogr-427	95	13	for	for	ADP
iogr-427	95	14	the	the	DET
iogr-427	95	15	flow	flow	NOUN
iogr-427	95	16	in	in	ADP
iogr-427	95	17	some	some	DET
iogr-427	95	18	tight	tight	ADJ
iogr-427	95	19	sands	sand	NOUN
iogr-427	95	20	with	with	ADP
iogr-427	95	21	very	very	ADV
iogr-427	95	22	low	low	ADJ
iogr-427	95	23	permeability	permeability	NOUN
iogr-427	95	24	but	but	CCONJ
iogr-427	95	25	no	no	DET
iogr-427	95	26	well	well	ADV
iogr-427	95	27	-	-	PUNCT
iogr-427	95	28	developed	develop	VERB
iogr-427	95	29	fracture	fracture	NOUN
iogr-427	95	30	networks	network	NOUN
iogr-427	95	31	,	,	PUNCT
iogr-427	95	32	except	except	SCONJ
iogr-427	95	33	for	for	ADP
iogr-427	95	34	a	a	DET
iogr-427	95	35	quite	quite	ADV
iogr-427	95	36	small	small	ADJ
iogr-427	95	37	𝜂𝑖.	𝜂𝑖.	NOUN
iogr-427	95	38	however	however	ADV
iogr-427	95	39	,	,	PUNCT
iogr-427	95	40	this	this	PRON
iogr-427	95	41	is	be	AUX
iogr-427	95	42	n’t	not	PART
iogr-427	95	43	the	the	DET
iogr-427	95	44	case	case	NOUN
iogr-427	95	45	for	for	ADP
iogr-427	95	46	the	the	DET
iogr-427	95	47	unconventional	unconventional	ADJ
iogr-427	95	48	reservoirs	reservoir	NOUN
iogr-427	95	49	with	with	ADP
iogr-427	95	50	complex	complex	ADJ
iogr-427	95	51	fracture	fracture	NOUN
iogr-427	95	52	systems	system	NOUN
iogr-427	95	53	.	.	PUNCT
iogr-427	96	1	by	by	ADP
iogr-427	96	2	the	the	DET
iogr-427	96	3	assumptions	assumption	NOUN
iogr-427	96	4	,	,	PUNCT
iogr-427	96	5	all	all	DET
iogr-427	96	6	the	the	DET
iogr-427	96	7	produced	produce	VERB
iogr-427	96	8	fluid	fluid	NOUN
iogr-427	96	9	comes	come	VERB
iogr-427	96	10	directly	directly	ADV
iogr-427	96	11	from	from	ADP
iogr-427	96	12	the	the	DET
iogr-427	96	13	fracture	fracture	NOUN
iogr-427	96	14	system	system	NOUN
iogr-427	96	15	.	.	PUNCT
iogr-427	97	1	and	and	CCONJ
iogr-427	97	2	the	the	DET
iogr-427	97	3	high	high	ADJ
iogr-427	97	4	production	production	NOUN
iogr-427	97	5	rate	rate	NOUN
iogr-427	97	6	during	during	ADP
iogr-427	97	7	the	the	DET
iogr-427	97	8	early	early	ADJ
iogr-427	97	9	period	period	NOUN
iogr-427	97	10	(	(	PUNCT
iogr-427	97	11	several	several	ADJ
iogr-427	97	12	months	month	NOUN
iogr-427	97	13	to	to	ADP
iogr-427	97	14	years	year	NOUN
iogr-427	97	15	)	)	PUNCT
iogr-427	97	16	after	after	ADP
iogr-427	97	17	the	the	DET
iogr-427	97	18	beginning	beginning	NOUN
iogr-427	97	19	of	of	ADP
iogr-427	97	20	production	production	NOUN
iogr-427	97	21	all	all	PRON
iogr-427	97	22	comes	come	VERB
iogr-427	97	23	from	from	ADP
iogr-427	97	24	the	the	DET
iogr-427	97	25	fluid	fluid	NOUN
iogr-427	97	26	initially	initially	ADV
iogr-427	97	27	located	locate	VERB
iogr-427	97	28	in	in	ADP
iogr-427	97	29	the	the	DET
iogr-427	97	30	fracture	fracture	NOUN
iogr-427	97	31	system	system	NOUN
iogr-427	97	32	because	because	SCONJ
iogr-427	97	33	of	of	ADP
iogr-427	97	34	the	the	DET
iogr-427	97	35	ultra	ultra	ADJ
iogr-427	97	36	-	-	ADJ
iogr-427	97	37	low	low	ADJ
iogr-427	97	38	matrix	matrix	NOUN
iogr-427	97	39	permeability	permeability	NOUN
iogr-427	97	40	.	.	PUNCT
iogr-427	98	1	thus	thus	ADV
iogr-427	98	2	,	,	PUNCT
iogr-427	98	3	the	the	DET
iogr-427	98	4	major	major	ADJ
iogr-427	98	5	fluid	fluid	ADJ
iogr-427	98	6	flow	flow	NOUN
iogr-427	98	7	and	and	CCONJ
iogr-427	98	8	the	the	DET
iogr-427	98	9	production	production	NOUN
iogr-427	98	10	in	in	ADP
iogr-427	98	11	this	this	DET
iogr-427	98	12	period	period	NOUN
iogr-427	98	13	can	can	AUX
iogr-427	98	14	be	be	AUX
iogr-427	98	15	readily	readily	ADV
iogr-427	98	16	modeled	model	VERB
iogr-427	98	17	by	by	ADP
iogr-427	98	18	solving	solve	VERB
iogr-427	98	19	eq	eq	ADP
iogr-427	98	20	.	.	PROPN
iogr-427	98	21	5	5	NUM
iogr-427	98	22	with	with	ADP
iogr-427	98	23	the	the	DET
iogr-427	98	24	fracture	fracture	NOUN
iogr-427	98	25	parameters	parameter	NOUN
iogr-427	98	26	on	on	ADP
iogr-427	98	27	the	the	DET
iogr-427	98	28	fracture	fracture	NOUN
iogr-427	98	29	domain	domain	NOUN
iogr-427	98	30	,	,	PUNCT
iogr-427	98	31	only	only	ADV
iogr-427	98	32	if	if	SCONJ
iogr-427	98	33	the	the	DET
iogr-427	98	34	span	span	NOUN
iogr-427	98	35	,	,	PUNCT
iogr-427	98	36	shape	shape	NOUN
iogr-427	98	37	,	,	PUNCT
iogr-427	98	38	and	and	CCONJ
iogr-427	98	39	other	other	ADJ
iogr-427	98	40	details	detail	NOUN
iogr-427	98	41	of	of	ADP
iogr-427	98	42	the	the	DET
iogr-427	98	43	fracture	fracture	NOUN
iogr-427	98	44	network	network	NOUN
iogr-427	98	45	are	be	AUX
iogr-427	98	46	available	available	ADJ
iogr-427	98	47	,	,	PUNCT
iogr-427	98	48	which	which	PRON
iogr-427	98	49	is	be	AUX
iogr-427	98	50	basically	basically	ADV
iogr-427	98	51	impossible	impossible	ADJ
iogr-427	98	52	by	by	ADP
iogr-427	98	53	the	the	DET
iogr-427	98	54	current	current	ADJ
iogr-427	98	55	state	state	NOUN
iogr-427	98	56	-	-	PUNCT
iogr-427	98	57	of	of	ADP
iogr-427	98	58	-	-	PUNCT
iogr-427	98	59	the	the	DET
iogr-427	98	60	-	-	PUNCT
iogr-427	98	61	art	art	NOUN
iogr-427	98	62	technology	technology	NOUN
iogr-427	98	63	.	.	PUNCT
iogr-427	99	1	consequently	consequently	ADV
iogr-427	99	2	,	,	PUNCT
iogr-427	99	3	we	we	PRON
iogr-427	99	4	are	be	AUX
iogr-427	99	5	forced	force	VERB
iogr-427	99	6	to	to	PART
iogr-427	99	7	model	model	VERB
iogr-427	99	8	the	the	DET
iogr-427	99	9	fracture	fracture	NOUN
iogr-427	99	10	flow	flow	NOUN
iogr-427	99	11	based	base	VERB
iogr-427	99	12	on	on	ADP
iogr-427	99	13	the	the	DET
iogr-427	99	14	combined	combine	VERB
iogr-427	99	15	domains	domain	NOUN
iogr-427	99	16	,	,	PUNCT
iogr-427	99	17	since	since	SCONJ
iogr-427	99	18	we	we	PRON
iogr-427	99	19	have	have	VERB
iogr-427	99	20	much	much	ADV
iogr-427	99	21	more	more	ADJ
iogr-427	99	22	information	information	NOUN
iogr-427	99	23	and	and	CCONJ
iogr-427	99	24	confidence	confidence	NOUN
iogr-427	99	25	to	to	PART
iogr-427	99	26	determine	determine	VERB
iogr-427	99	27	the	the	DET
iogr-427	99	28	drainage	drainage	NOUN
iogr-427	99	29	area	area	NOUN
iogr-427	99	30	.	.	PUNCT
iogr-427	100	1	using	use	VERB
iogr-427	100	2	the	the	DET
iogr-427	100	3	perspective	perspective	NOUN
iogr-427	100	4	of	of	ADP
iogr-427	100	5	diffusing	diffuse	VERB
iogr-427	100	6	fluid	fluid	ADJ
iogr-427	100	7	particles	particle	NOUN
iogr-427	100	8	,	,	PUNCT
iogr-427	100	9	it	it	PRON
iogr-427	100	10	is	be	AUX
iogr-427	100	11	obvious	obvious	ADJ
iogr-427	100	12	that	that	SCONJ
iogr-427	100	13	the	the	DET
iogr-427	100	14	particles	particle	NOUN
iogr-427	100	15	only	only	ADV
iogr-427	100	16	move	move	VERB
iogr-427	100	17	in	in	ADP
iogr-427	100	18	the	the	DET
iogr-427	100	19	fracture	fracture	NOUN
iogr-427	100	20	network	network	NOUN
iogr-427	100	21	instead	instead	ADV
iogr-427	100	22	of	of	ADP
iogr-427	100	23	the	the	DET
iogr-427	100	24	full	full	ADJ
iogr-427	100	25	euclidean	euclidean	ADJ
iogr-427	100	26	space	space	NOUN
iogr-427	100	27	.	.	PUNCT
iogr-427	101	1	therefore	therefore	ADV
iogr-427	101	2	,	,	PUNCT
iogr-427	101	3	although	although	SCONJ
iogr-427	101	4	the	the	DET
iogr-427	101	5	particle	particle	NOUN
iogr-427	101	6	motion	motion	NOUN
iogr-427	101	7	is	be	AUX
iogr-427	101	8	described	describe	VERB
iogr-427	101	9	by	by	ADP
iogr-427	101	10	eq.6	eq.6	NOUN
iogr-427	101	11	using	use	VERB
iogr-427	101	12	the	the	DET
iogr-427	101	13	1	1	NUM
iogr-427	101	14	-	-	PUNCT
iogr-427	101	15	d	d	NOUN
iogr-427	101	16	coordinate	coordinate	NOUN
iogr-427	101	17	attached	attach	VERB
iogr-427	101	18	to	to	ADP
iogr-427	101	19	the	the	DET
iogr-427	101	20	fracture	fracture	NOUN
iogr-427	101	21	,	,	PUNCT
iogr-427	101	22	this	this	DET
iogr-427	101	23	relation	relation	NOUN
iogr-427	101	24	of	of	ADP
iogr-427	101	25	msd	msd	NOUN
iogr-427	101	26	vs.	vs.	ADP
iogr-427	101	27	𝑡	𝑡	PROPN
iogr-427	101	28	needs	need	VERB
iogr-427	101	29	to	to	PART
iogr-427	101	30	be	be	AUX
iogr-427	101	31	transferred	transfer	VERB
iogr-427	101	32	to	to	ADP
iogr-427	101	33	the	the	DET
iogr-427	101	34	2	2	NUM
iogr-427	101	35	-	-	PUNCT
iogr-427	101	36	d	d	NOUN
iogr-427	101	37	coordinate	coordinate	NOUN
iogr-427	101	38	attached	attach	VERB
iogr-427	101	39	to	to	ADP
iogr-427	101	40	the	the	DET
iogr-427	101	41	whole	whole	ADJ
iogr-427	101	42	drainage	drainage	NOUN
iogr-427	101	43	area	area	NOUN
iogr-427	101	44	.	.	PUNCT
iogr-427	102	1	this	this	PRON
iogr-427	102	2	is	be	AUX
iogr-427	102	3	illustrated	illustrate	VERB
iogr-427	102	4	in	in	ADP
iogr-427	102	5	figure	figure	NOUN
iogr-427	102	6	2	2	NUM
iogr-427	102	7	.	.	PUNCT
iogr-427	103	1	in	in	ADP
iogr-427	103	2	this	this	DET
iogr-427	103	3	figure	figure	NOUN
iogr-427	103	4	,	,	PUNCT
iogr-427	103	5	a	a	DET
iogr-427	103	6	particle	particle	NOUN
iogr-427	103	7	diffuses	diffuse	VERB
iogr-427	103	8	from	from	ADP
iogr-427	103	9	point	point	NOUN
iogr-427	103	10	1	1	NUM
iogr-427	103	11	to	to	PART
iogr-427	103	12	point	point	VERB
iogr-427	103	13	2	2	NUM
iogr-427	103	14	along	along	ADP
iogr-427	103	15	the	the	DET
iogr-427	103	16	yellow	yellow	ADJ
iogr-427	103	17	path	path	NOUN
iogr-427	103	18	in	in	ADP
iogr-427	103	19	the	the	DET
iogr-427	103	20	fracture	fracture	NOUN
iogr-427	103	21	.	.	PUNCT
iogr-427	104	1	its	its	PRON
iogr-427	104	2	displacement	displacement	NOUN
iogr-427	104	3	with	with	ADP
iogr-427	104	4	respect	respect	NOUN
iogr-427	104	5	to	to	ADP
iogr-427	104	6	the	the	DET
iogr-427	104	7	fracture	fracture	NOUN
iogr-427	104	8	coordinate	coordinate	NOUN
iogr-427	104	9	is	be	AUX
iogr-427	104	10	𝑟1	𝑟1	NOUN
iogr-427	104	11	+	+	CCONJ
iogr-427	104	12	𝑟2	𝑟2	NOUN
iogr-427	104	13	+	+	X
iogr-427	104	14	𝑟3	𝑟3	NOUN
iogr-427	104	15	+	+	CCONJ
iogr-427	104	16	𝑟4	𝑟4	PROPN
iogr-427	104	17	,	,	PUNCT
iogr-427	104	18	while	while	SCONJ
iogr-427	104	19	that	that	PRON
iogr-427	104	20	with	with	ADP
iogr-427	104	21	respect	respect	NOUN
iogr-427	104	22	to	to	ADP
iogr-427	104	23	drainage	drainage	NOUN
iogr-427	104	24	area	area	NOUN
iogr-427	104	25	coordinate	coordinate	NOUN
iogr-427	104	26	is	be	AUX
iogr-427	104	27	𝑑	𝑑	NOUN
iogr-427	104	28	,	,	PUNCT
iogr-427	104	29	which	which	PRON
iogr-427	104	30	is	be	AUX
iogr-427	104	31	much	much	ADV
iogr-427	104	32	smaller	small	ADJ
iogr-427	104	33	than	than	ADP
iogr-427	104	34	the	the	DET
iogr-427	104	35	previous	previous	ADJ
iogr-427	104	36	one	one	NUM
iogr-427	104	37	.	.	PUNCT
iogr-427	105	1	apparently	apparently	ADV
iogr-427	105	2	,	,	PUNCT
iogr-427	105	3	this	this	DET
iogr-427	105	4	transferring	transferring	NOUN
iogr-427	105	5	should	should	AUX
iogr-427	105	6	take	take	VERB
iogr-427	105	7	into	into	ADP
iogr-427	105	8	account	account	NOUN
iogr-427	105	9	the	the	DET
iogr-427	105	10	geometric	geometric	ADJ
iogr-427	105	11	characteristics	characteristic	NOUN
iogr-427	105	12	of	of	ADP
iogr-427	105	13	the	the	DET
iogr-427	105	14	fracture	fracture	PROPN
iogr-427	105	15	network	network	NOUN
iogr-427	105	16	,	,	PUNCT
iogr-427	105	17	which	which	PRON
iogr-427	105	18	means	mean	VERB
iogr-427	105	19	the	the	DET
iogr-427	105	20	transferred	transfer	VERB
iogr-427	105	21	relation	relation	NOUN
iogr-427	105	22	of	of	ADP
iogr-427	105	23	msd	msd	NOUN
iogr-427	105	24	vs.	vs.	ADP
iogr-427	105	25	𝑡	𝑡	PROPN
iogr-427	105	26	will	will	AUX
iogr-427	105	27	not	not	PART
iogr-427	105	28	follow	follow	VERB
iogr-427	105	29	the	the	DET
iogr-427	105	30	linear	linear	PROPN
iogr-427	105	31	relation	relation	NOUN
iogr-427	105	32	as	as	ADP
iogr-427	105	33	eq.6	eq.6	PROPN
iogr-427	105	34	.	.	PUNCT
iogr-427	106	1	according	accord	VERB
iogr-427	106	2	to	to	ADP
iogr-427	106	3	some	some	DET
iogr-427	106	4	prior	prior	ADJ
iogr-427	106	5	works	work	NOUN
iogr-427	106	6	(	(	PUNCT
iogr-427	106	7	berkowitz	berkowitz	PROPN
iogr-427	106	8	and	and	CCONJ
iogr-427	106	9	scher	scher	PROPN
iogr-427	106	10	2001	2001	NUM
iogr-427	106	11	;	;	PUNCT
iogr-427	106	12	vlahos	vlahos	NOUN
iogr-427	106	13	2008	2008	NUM
iogr-427	106	14	)	)	PUNCT
iogr-427	106	15	,	,	PUNCT
iogr-427	106	16	it	it	PRON
iogr-427	106	17	can	can	AUX
iogr-427	106	18	be	be	AUX
iogr-427	106	19	intuitively	intuitively	ADV
iogr-427	106	20	proposed	propose	VERB
iogr-427	106	21	that	that	SCONJ
iogr-427	106	22	the	the	DET
iogr-427	106	23	modified	modify	VERB
iogr-427	106	24	relation	relation	NOUN
iogr-427	106	25	should	should	AUX
iogr-427	106	26	have	have	VERB
iogr-427	106	27	the	the	DET
iogr-427	106	28	power	power	NOUN
iogr-427	106	29	law	law	NOUN
iogr-427	106	30	form	form	NOUN
iogr-427	106	31	as	as	SCONJ
iogr-427	106	32	shown	show	VERB
iogr-427	106	33	in	in	ADP
iogr-427	106	34	eq.7	eq.7	PROPN
iogr-427	106	35	.	.	PUNCT
iogr-427	107	1	〈	〈	NOUN
iogr-427	107	2	𝑟2	𝑟2	NOUN
iogr-427	107	3	〉	〉	NOUN
iogr-427	107	4	~	~	PUNCT
iogr-427	107	5	𝑡𝛼.	𝑡𝛼.	NOUN
iogr-427	107	6	…	…	SYM
iogr-427	107	7	…	…	SYM
iogr-427	107	8	…	…	PUNCT
iogr-427	107	9	…	…	PUNCT
iogr-427	107	10	…	…	PUNCT
iogr-427	107	11	…	…	PUNCT
iogr-427	107	12	…	…	PUNCT
iogr-427	107	13	…	…	PUNCT
iogr-427	107	14	…	…	PUNCT
iogr-427	107	15	…	…	PUNCT
iogr-427	107	16	…	…	PUNCT
iogr-427	107	17	…	…	PUNCT
iogr-427	107	18	…	…	PUNCT
iogr-427	107	19	…	…	PUNCT
iogr-427	107	20	…	…	PUNCT
iogr-427	107	21	…	…	PUNCT
iogr-427	107	22	…	…	PUNCT
iogr-427	107	23	…	…	PUNCT
iogr-427	107	24	…	…	PUNCT
iogr-427	107	25	…	…	PUNCT
iogr-427	107	26	…	…	PUNCT
iogr-427	107	27	..	..	PUNCT
iogr-427	107	28	…	…	PUNCT
iogr-427	107	29	…	…	PUNCT
iogr-427	107	30	…	…	PUNCT
iogr-427	107	31	…	…	PUNCT
iogr-427	107	32	…	…	PUNCT
iogr-427	107	33	…	…	PUNCT
iogr-427	107	34	…	…	PUNCT
iogr-427	107	35	..	..	PUNCT
iogr-427	107	36	…	…	PUNCT
iogr-427	107	37	…	…	PUNCT
iogr-427	107	38	…	…	PUNCT
iogr-427	107	39	…	…	PUNCT
iogr-427	107	40	…	…	PUNCT
iogr-427	107	41	…	…	PUNCT
iogr-427	107	42	…	…	PUNCT
iogr-427	107	43	(7	(7	NOUN
iogr-427	107	44	)	)	PUNCT
iogr-427	107	45	if	if	SCONJ
iogr-427	107	46	𝛼	𝛼	X
iogr-427	107	47	,	,	PUNCT
iogr-427	107	48	the	the	DET
iogr-427	107	49	diffusivity	diffusivity	NOUN
iogr-427	107	50	exponent	exponent	NOUN
iogr-427	107	51	,	,	PUNCT
iogr-427	107	52	does	do	AUX
iogr-427	107	53	n’t	not	PART
iogr-427	107	54	keep	keep	VERB
iogr-427	107	55	unit	unit	NOUN
iogr-427	107	56	,	,	PUNCT
iogr-427	107	57	the	the	DET
iogr-427	107	58	corresponding	corresponding	ADJ
iogr-427	107	59	process	process	NOUN
iogr-427	107	60	is	be	AUX
iogr-427	107	61	named	name	VERB
iogr-427	107	62	as	as	ADP
iogr-427	107	63	the	the	DET
iogr-427	107	64	anomalous	anomalous	ADJ
iogr-427	107	65	diffusion	diffusion	NOUN
iogr-427	107	66	.	.	PUNCT
iogr-427	108	1	to	to	PART
iogr-427	108	2	demonstrate	demonstrate	VERB
iogr-427	108	3	this	this	DET
iogr-427	108	4	phenomenon	phenomenon	NOUN
iogr-427	108	5	in	in	ADP
iogr-427	108	6	highly	highly	ADV
iogr-427	108	7	fractured	fractured	ADJ
iogr-427	108	8	formation	formation	NOUN
iogr-427	108	9	is	be	AUX
iogr-427	108	10	the	the	DET
iogr-427	108	11	main	main	ADJ
iogr-427	108	12	task	task	NOUN
iogr-427	108	13	of	of	ADP
iogr-427	108	14	the	the	DET
iogr-427	108	15	rest	rest	NOUN
iogr-427	108	16	of	of	ADP
iogr-427	108	17	this	this	DET
iogr-427	108	18	paper	paper	NOUN
iogr-427	108	19	.	.	PUNCT
iogr-427	109	1	as	as	ADP
iogr-427	109	2	a	a	DET
iogr-427	109	3	consequence	consequence	NOUN
iogr-427	109	4	,	,	PUNCT
iogr-427	109	5	due	due	ADP
iogr-427	109	6	to	to	ADP
iogr-427	109	7	the	the	DET
iogr-427	109	8	possible	possible	ADJ
iogr-427	109	9	invalidity	invalidity	NOUN
iogr-427	109	10	of	of	ADP
iogr-427	109	11	eq.6	eq.6	NOUN
iogr-427	109	12	when	when	SCONJ
iogr-427	109	13	𝛼	𝛼	PRON
iogr-427	109	14	is	be	AUX
iogr-427	109	15	n’t	not	PART
iogr-427	109	16	the	the	DET
iogr-427	109	17	unit	unit	NOUN
iogr-427	109	18	anymore	anymore	ADV
iogr-427	109	19	,	,	PUNCT
iogr-427	109	20	using	use	VERB
iogr-427	109	21	eq.5	eq.5	PROPN
iogr-427	109	22	to	to	PART
iogr-427	109	23	model	model	VERB
iogr-427	109	24	the	the	DET
iogr-427	109	25	flow	flow	NOUN
iogr-427	109	26	and	and	CCONJ
iogr-427	109	27	production	production	NOUN
iogr-427	109	28	based	base	VERB
iogr-427	109	29	on	on	ADP
iogr-427	109	30	the	the	DET
iogr-427	109	31	whole	whole	ADJ
iogr-427	109	32	drainage	drainage	NOUN
iogr-427	109	33	area	area	NOUN
iogr-427	109	34	may	may	AUX
iogr-427	109	35	be	be	AUX
iogr-427	109	36	only	only	ADV
iogr-427	109	37	a	a	DET
iogr-427	109	38	very	very	ADV
iogr-427	109	39	rough	rough	ADJ
iogr-427	109	40	simplification	simplification	NOUN
iogr-427	109	41	and	and	CCONJ
iogr-427	109	42	fails	fail	VERB
iogr-427	109	43	to	to	PART
iogr-427	109	44	capture	capture	VERB
iogr-427	109	45	some	some	DET
iogr-427	109	46	features	feature	NOUN
iogr-427	109	47	of	of	ADP
iogr-427	109	48	the	the	DET
iogr-427	109	49	flow	flow	NOUN
iogr-427	109	50	through	through	ADP
iogr-427	109	51	the	the	DET
iogr-427	109	52	unconventional	unconventional	ADJ
iogr-427	109	53	reservoir	reservoir	NOUN
iogr-427	109	54	with	with	ADP
iogr-427	109	55	complex	complex	ADJ
iogr-427	109	56	fracture	fracture	NOUN
iogr-427	109	57	networks	network	NOUN
iogr-427	109	58	.	.	PUNCT
iogr-427	110	1	6	6	NUM
iogr-427	110	2	model	model	NOUN
iogr-427	110	3	based	base	VERB
iogr-427	110	4	on	on	ADP
iogr-427	110	5	markov	markov	NOUN
iogr-427	110	6	chain	chain	NOUN
iogr-427	110	7	to	to	PART
iogr-427	110	8	simulate	simulate	VERB
iogr-427	110	9	the	the	DET
iogr-427	110	10	fluid	fluid	NOUN
iogr-427	110	11	particle	particle	NOUN
iogr-427	110	12	’s	’s	PART
iogr-427	110	13	motion	motion	NOUN
iogr-427	110	14	in	in	ADP
iogr-427	110	15	the	the	DET
iogr-427	110	16	fracture	fracture	NOUN
iogr-427	110	17	network	network	NOUN
iogr-427	110	18	,	,	PUNCT
iogr-427	110	19	which	which	PRON
iogr-427	110	20	is	be	AUX
iogr-427	110	21	embedded	embed	VERB
iogr-427	110	22	in	in	ADP
iogr-427	110	23	a	a	DET
iogr-427	110	24	2	2	NUM
iogr-427	110	25	-	-	PUNCT
iogr-427	110	26	d	d	ADJ
iogr-427	110	27	euclidean	euclidean	ADJ
iogr-427	110	28	space	space	NOUN
iogr-427	110	29	,	,	PUNCT
iogr-427	110	30	we	we	PRON
iogr-427	110	31	take	take	VERB
iogr-427	110	32	advantage	advantage	NOUN
iogr-427	110	33	of	of	ADP
iogr-427	110	34	its	its	PRON
iogr-427	110	35	normal	normal	ADJ
iogr-427	110	36	diffusion	diffusion	NOUN
iogr-427	110	37	.	.	PUNCT
iogr-427	111	1	as	as	SCONJ
iogr-427	111	2	has	have	AUX
iogr-427	111	3	been	be	AUX
iogr-427	111	4	studied	study	VERB
iogr-427	111	5	in	in	ADP
iogr-427	111	6	many	many	ADJ
iogr-427	111	7	publications	publication	NOUN
iogr-427	111	8	(	(	PUNCT
iogr-427	111	9	itô	itô	PROPN
iogr-427	111	10	1974	1974	NUM
iogr-427	111	11	;	;	PUNCT
iogr-427	111	12	rogers	roger	NOUN
iogr-427	111	13	and	and	CCONJ
iogr-427	111	14	willianms	willianms	NOUN
iogr-427	111	15	1994	1994	NUM
iogr-427	111	16	)	)	PUNCT
iogr-427	111	17	,	,	PUNCT
iogr-427	111	18	the	the	DET
iogr-427	111	19	fluid	fluid	ADJ
iogr-427	111	20	particles	particle	NOUN
iogr-427	111	21	under	under	ADP
iogr-427	111	22	normal	normal	ADJ
iogr-427	111	23	diffusion	diffusion	NOUN
iogr-427	111	24	can	can	AUX
iogr-427	111	25	be	be	AUX
iogr-427	111	26	mathematically	mathematically	ADV
iogr-427	111	27	modeled	model	VERB
iogr-427	111	28	to	to	PART
iogr-427	111	29	have	have	VERB
iogr-427	111	30	markov	markov	NOUN
iogr-427	111	31	property	property	NOUN
iogr-427	111	32	.	.	PUNCT
iogr-427	112	1	in	in	ADP
iogr-427	112	2	more	more	ADJ
iogr-427	112	3	details	detail	NOUN
iogr-427	112	4	,	,	PUNCT
iogr-427	112	5	denoting	denote	VERB
iogr-427	112	6	the	the	DET
iogr-427	112	7	location	location	NOUN
iogr-427	112	8	of	of	ADP
iogr-427	112	9	a	a	DET
iogr-427	112	10	single	single	ADJ
iogr-427	112	11	particle	particle	NOUN
iogr-427	112	12	at	at	ADP
iogr-427	112	13	time	time	NOUN
iogr-427	112	14	𝑡	𝑡	PROPN
iogr-427	112	15	as	as	ADP
iogr-427	112	16	𝑋(𝑡	𝑋(𝑡	PROPN
iogr-427	112	17	)	)	PUNCT
iogr-427	112	18	,	,	PUNCT
iogr-427	112	19	we	we	PRON
iogr-427	112	20	have	have	VERB
iogr-427	112	21	a	a	DET
iogr-427	112	22	continuoustime	continuoustime	ADJ
iogr-427	112	23	stochastic	stochastic	ADJ
iogr-427	112	24	process	process	NOUN
iogr-427	112	25	{	{	PUNCT
iogr-427	112	26	𝑋(𝑡	𝑋(𝑡	NUM
iogr-427	112	27	):	):	PUNCT
iogr-427	112	28	𝑡	𝑡	PROPN
iogr-427	112	29	≥	≥	NOUN
iogr-427	112	30	0	0	NUM
iogr-427	112	31	}	}	PUNCT
iogr-427	112	32	,	,	PUNCT
iogr-427	112	33	which	which	PRON
iogr-427	112	34	is	be	AUX
iogr-427	112	35	considered	consider	VERB
iogr-427	112	36	to	to	PART
iogr-427	112	37	have	have	VERB
iogr-427	112	38	markov	markov	NOUN
iogr-427	112	39	property	property	NOUN
iogr-427	112	40	only	only	ADV
iogr-427	112	41	if	if	SCONJ
iogr-427	112	42	the	the	DET
iogr-427	112	43	conditional	conditional	ADJ
iogr-427	112	44	probability	probability	NOUN
iogr-427	112	45	satisfies	satisfy	VERB
iogr-427	112	46	eq.8	eq.8	PROPN
iogr-427	112	47	(	(	PUNCT
iogr-427	112	48	itô	itô	PROPN
iogr-427	112	49	1974	1974	NUM
iogr-427	112	50	;	;	PUNCT
iogr-427	112	51	rogers	roger	NOUN
iogr-427	112	52	and	and	CCONJ
iogr-427	112	53	willianms	willianms	NOUN
iogr-427	112	54	1994	1994	NUM
iogr-427	112	55	)	)	PUNCT
iogr-427	112	56	.	.	PUNCT
iogr-427	113	1	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	INTJ
iogr-427	113	2	)	)	PUNCT
iogr-427	113	3	=	=	PUNCT
iogr-427	113	4	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	113	5	)	)	PUNCT
iogr-427	113	6	=	=	SYM
iogr-427	113	7	𝑖	𝑖	SYM
iogr-427	113	8	,	,	PUNCT
iogr-427	113	9	𝑋(𝑡𝑛−1	𝑋(𝑡𝑛−1	NOUN
iogr-427	113	10	)	)	PUNCT
iogr-427	113	11	=	=	SYM
iogr-427	113	12	𝑖𝑛−1	𝑖𝑛−1	NOUN
iogr-427	113	13	,	,	PUNCT
iogr-427	113	14	𝑋(𝑡𝑛−2	𝑋(𝑡𝑛−2	NOUN
iogr-427	113	15	)	)	PUNCT
iogr-427	113	16	=	=	SYM
iogr-427	113	17	𝑖𝑛−2	𝑖𝑛−2	PROPN
iogr-427	113	18	,	,	PUNCT
iogr-427	113	19	⋯	⋯	PROPN
iogr-427	113	20	,	,	PUNCT
iogr-427	113	21	𝑋(𝑡1	𝑋(𝑡1	PROPN
iogr-427	113	22	)	)	PUNCT
iogr-427	113	23	=	=	SYM
iogr-427	113	24	𝑖1	𝑖1	PROPN
iogr-427	113	25	]	]	PUNCT
iogr-427	113	26	=	=	SYM
iogr-427	113	27	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	PROPN
iogr-427	113	28	)	)	PUNCT
iogr-427	113	29	=	=	PUNCT
iogr-427	113	30	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	113	31	)	)	PUNCT
iogr-427	113	32	=	=	PUNCT
iogr-427	114	1	𝑖],	𝑖],	ADJ
iogr-427	114	2	.....	.....	PUNCT
iogr-427	114	3	(8	(8	PROPN
iogr-427	114	4	)	)	PUNCT
iogr-427	114	5	where	where	SCONJ
iogr-427	114	6	0	0	NUM
iogr-427	114	7	≤	≤	NUM
iogr-427	114	8	𝑡1	𝑡1	NOUN
iogr-427	114	9	≤	≤	NOUN
iogr-427	114	10	𝑡2	𝑡2	ADJ
iogr-427	114	11	≤	≤	PROPN
iogr-427	114	12	⋯	⋯	NOUN
iogr-427	114	13	≤	≤	NOUN
iogr-427	114	14	𝑡𝑛−2	𝑡𝑛−2	NOUN
iogr-427	114	15	≤	≤	NUM
iogr-427	114	16	𝑡𝑛−1	𝑡𝑛−1	PROPN
iogr-427	114	17	≤	≤	NUM
iogr-427	114	18	𝑠	𝑠	PRON
iogr-427	114	19	≤	≤	NUM
iogr-427	114	20	𝑡	𝑡	PROPN
iogr-427	114	21	is	be	AUX
iogr-427	114	22	any	any	DET
iogr-427	114	23	non	non	ADJ
iogr-427	114	24	-	-	ADJ
iogr-427	114	25	decreasing	decrease	VERB
iogr-427	114	26	sequence	sequence	NOUN
iogr-427	114	27	of	of	ADP
iogr-427	114	28	n+1	n+1	NUM
iogr-427	114	29	times	time	NOUN
iogr-427	114	30	and	and	CCONJ
iogr-427	114	31	𝑖1	𝑖1	PROPN
iogr-427	114	32	,	,	PUNCT
iogr-427	114	33	𝑖2	𝑖2	PROPN
iogr-427	114	34	,	,	PUNCT
iogr-427	114	35	⋯	⋯	PROPN
iogr-427	114	36	,	,	PUNCT
iogr-427	114	37	𝑖𝑛−2	𝑖𝑛−2	PROPN
iogr-427	114	38	,	,	PUNCT
iogr-427	114	39	𝑖𝑛−1	𝑖𝑛−1	PROPN
iogr-427	114	40	,	,	PUNCT
iogr-427	114	41	𝑖	𝑖	PRON
iogr-427	114	42	,	,	PUNCT
iogr-427	114	43	𝑗	𝑗	X
iogr-427	114	44	are	be	AUX
iogr-427	114	45	any	any	DET
iogr-427	114	46	n+1	n+1	NUM
iogr-427	114	47	states	state	NOUN
iogr-427	114	48	in	in	ADP
iogr-427	114	49	the	the	DET
iogr-427	114	50	state	state	NOUN
iogr-427	114	51	space	space	NOUN
iogr-427	114	52	of	of	ADP
iogr-427	114	53	markov	markov	NOUN
iogr-427	114	54	chain	chain	NOUN
iogr-427	114	55	.	.	PUNCT
iogr-427	115	1	it	it	PRON
iogr-427	115	2	means	mean	VERB
iogr-427	115	3	that	that	SCONJ
iogr-427	115	4	each	each	DET
iogr-427	115	5	step	step	NOUN
iogr-427	115	6	of	of	ADP
iogr-427	115	7	stochastic	stochastic	ADJ
iogr-427	115	8	“	"	PUNCT
iogr-427	115	9	jump	jump	NOUN
iogr-427	115	10	”	"	PUNCT
iogr-427	115	11	only	only	ADV
iogr-427	115	12	depends	depend	VERB
iogr-427	115	13	on	on	ADP
iogr-427	115	14	the	the	DET
iogr-427	115	15	current	current	ADJ
iogr-427	115	16	states	state	NOUN
iogr-427	115	17	,	,	PUNCT
iogr-427	115	18	and	and	CCONJ
iogr-427	115	19	the	the	DET
iogr-427	115	20	particle	particle	NOUN
iogr-427	115	21	acts	act	VERB
iogr-427	115	22	as	as	SCONJ
iogr-427	115	23	it	it	PRON
iogr-427	115	24	“	"	PUNCT
iogr-427	115	25	forgets	forget	VERB
iogr-427	115	26	”	"	PUNCT
iogr-427	115	27	the	the	DET
iogr-427	115	28	states	state	NOUN
iogr-427	115	29	it	it	PRON
iogr-427	115	30	has	have	AUX
iogr-427	115	31	previously	previously	ADV
iogr-427	115	32	experienced	experience	VERB
iogr-427	115	33	.	.	PUNCT
iogr-427	116	1	since	since	SCONJ
iogr-427	116	2	in	in	ADP
iogr-427	116	3	this	this	DET
iogr-427	116	4	work	work	NOUN
iogr-427	116	5	the	the	DET
iogr-427	116	6	particles	particle	NOUN
iogr-427	116	7	only	only	ADV
iogr-427	116	8	move	move	VERB
iogr-427	116	9	in	in	ADP
iogr-427	116	10	the	the	DET
iogr-427	116	11	fracture	fracture	NOUN
iogr-427	116	12	network	network	NOUN
iogr-427	116	13	,	,	PUNCT
iogr-427	116	14	the	the	DET
iogr-427	116	15	state	state	NOUN
iogr-427	116	16	space	space	NOUN
iogr-427	116	17	of	of	ADP
iogr-427	116	18	the	the	DET
iogr-427	116	19	markov	markov	NOUN
iogr-427	116	20	chain	chain	NOUN
iogr-427	116	21	only	only	ADV
iogr-427	116	22	contains	contain	VERB
iogr-427	116	23	the	the	DET
iogr-427	116	24	points	point	NOUN
iogr-427	116	25	belonging	belong	VERB
iogr-427	116	26	to	to	ADP
iogr-427	116	27	the	the	DET
iogr-427	116	28	fractures	fracture	NOUN
iogr-427	116	29	.	.	PUNCT
iogr-427	117	1	for	for	ADP
iogr-427	117	2	simplicity	simplicity	NOUN
iogr-427	117	3	and	and	CCONJ
iogr-427	117	4	the	the	DET
iogr-427	117	5	limitedness	limitedness	NOUN
iogr-427	117	6	of	of	ADP
iogr-427	117	7	our	our	PRON
iogr-427	117	8	computational	computational	ADJ
iogr-427	117	9	resources	resource	NOUN
iogr-427	117	10	,	,	PUNCT
iogr-427	117	11	we	we	PRON
iogr-427	117	12	only	only	ADV
iogr-427	117	13	take	take	VERB
iogr-427	117	14	the	the	DET
iogr-427	117	15	endpoints	endpoint	NOUN
iogr-427	117	16	and	and	CCONJ
iogr-427	117	17	the	the	DET
iogr-427	117	18	intersection	intersection	NOUN
iogr-427	117	19	points	point	NOUN
iogr-427	117	20	of	of	ADP
iogr-427	117	21	the	the	DET
iogr-427	117	22	fracture	fracture	ADJ
iogr-427	117	23	segments	segment	NOUN
iogr-427	117	24	as	as	ADP
iogr-427	117	25	the	the	DET
iogr-427	117	26	states	state	NOUN
iogr-427	117	27	,	,	PUNCT
iogr-427	117	28	as	as	SCONJ
iogr-427	117	29	illustrated	illustrate	VERB
iogr-427	117	30	in	in	ADP
iogr-427	117	31	figure	figure	NOUN
iogr-427	117	32	3	3	NUM
iogr-427	117	33	.	.	PUNCT
iogr-427	118	1	when	when	SCONJ
iogr-427	118	2	a	a	DET
iogr-427	118	3	particle	particle	NOUN
iogr-427	118	4	occupies	occupy	VERB
iogr-427	118	5	a	a	DET
iogr-427	118	6	state	state	NOUN
iogr-427	118	7	at	at	ADP
iogr-427	118	8	a	a	DET
iogr-427	118	9	given	give	VERB
iogr-427	118	10	time	time	NOUN
iogr-427	118	11	,	,	PUNCT
iogr-427	118	12	it	it	PRON
iogr-427	118	13	will	will	AUX
iogr-427	118	14	“	"	PUNCT
iogr-427	118	15	jump	jump	VERB
iogr-427	118	16	”	"	PUNCT
iogr-427	118	17	after	after	ADP
iogr-427	118	18	some	some	DET
iogr-427	118	19	“	"	PUNCT
iogr-427	118	20	waiting	wait	VERB
iogr-427	118	21	time	time	NOUN
iogr-427	118	22	”	"	PUNCT
iogr-427	118	23	at	at	ADP
iogr-427	118	24	the	the	DET
iogr-427	118	25	next	next	ADJ
iogr-427	118	26	step	step	NOUN
iogr-427	118	27	to	to	ADP
iogr-427	118	28	one	one	NUM
iogr-427	118	29	of	of	ADP
iogr-427	118	30	the	the	DET
iogr-427	118	31	neighbor	neighbor	NOUN
iogr-427	118	32	states	state	NOUN
iogr-427	118	33	.	.	PUNCT
iogr-427	119	1	the	the	DET
iogr-427	119	2	target	target	NOUN
iogr-427	119	3	of	of	ADP
iogr-427	119	4	the	the	DET
iogr-427	119	5	“	"	PUNCT
iogr-427	119	6	jumping	jumping	NOUN
iogr-427	119	7	”	"	PUNCT
iogr-427	119	8	is	be	AUX
iogr-427	119	9	chosen	choose	VERB
iogr-427	119	10	randomly	randomly	ADV
iogr-427	119	11	according	accord	VERB
iogr-427	119	12	to	to	ADP
iogr-427	119	13	the	the	DET
iogr-427	119	14	probability	probability	NOUN
iogr-427	119	15	distribution	distribution	NOUN
iogr-427	119	16	determined	determine	VERB
iogr-427	119	17	by	by	ADP
iogr-427	119	18	the	the	DET
iogr-427	119	19	diffusivity	diffusivity	NOUN
iogr-427	119	20	coefficient	coefficient	NOUN
iogr-427	119	21	,	,	PUNCT
iogr-427	119	22	the	the	DET
iogr-427	119	23	length	length	NOUN
iogr-427	119	24	,	,	PUNCT
iogr-427	119	25	and	and	CCONJ
iogr-427	119	26	the	the	DET
iogr-427	119	27	aperture	aperture	NOUN
iogr-427	119	28	of	of	ADP
iogr-427	119	29	all	all	DET
iogr-427	119	30	the	the	DET
iogr-427	119	31	fracture	fracture	ADJ
iogr-427	119	32	segments	segment	NOUN
iogr-427	119	33	directly	directly	ADV
iogr-427	119	34	connected	connect	VERB
iogr-427	119	35	to	to	ADP
iogr-427	119	36	the	the	DET
iogr-427	119	37	current	current	ADJ
iogr-427	119	38	state	state	NOUN
iogr-427	119	39	,	,	PUNCT
iogr-427	119	40	as	as	SCONJ
iogr-427	119	41	shown	show	VERB
iogr-427	119	42	in	in	ADP
iogr-427	119	43	eq.9	eq.9	PROPN
iogr-427	119	44	.	.	PUNCT
iogr-427	120	1	figure	figure	NOUN
iogr-427	120	2	2	2	NUM
iogr-427	120	3	—	—	PUNCT
iogr-427	120	4	illustration	illustration	NOUN
iogr-427	120	5	of	of	ADP
iogr-427	120	6	the	the	DET
iogr-427	120	7	displacements	displacement	NOUN
iogr-427	120	8	with	with	ADP
iogr-427	120	9	respect	respect	NOUN
iogr-427	120	10	to	to	ADP
iogr-427	120	11	different	different	ADJ
iogr-427	120	12	coordinates	coordinate	NOUN
iogr-427	120	13	.	.	PUNCT
iogr-427	121	1	figure	figure	VERB
iogr-427	121	2	3	3	NUM
iogr-427	121	3	—	—	PUNCT
iogr-427	121	4	illustration	illustration	NOUN
iogr-427	121	5	of	of	ADP
iogr-427	121	6	endpoints	endpoint	NOUN
iogr-427	121	7	and	and	CCONJ
iogr-427	121	8	intersection	intersection	NOUN
iogr-427	121	9	points	point	NOUN
iogr-427	121	10	as	as	ADP
iogr-427	121	11	states	state	NOUN
iogr-427	121	12	.	.	PUNCT
iogr-427	122	1	r1	r1	PROPN
iogr-427	122	2	r2r3	r2r3	PROPN
iogr-427	122	3	r4	r4	PROPN
iogr-427	122	4	d	d	NOUN
iogr-427	122	5	1	1	NUM
iogr-427	122	6	2	2	NUM
iogr-427	122	7	1	1	NUM
iogr-427	122	8	2	2	NUM
iogr-427	122	9	5	5	NUM
iogr-427	122	10	74	74	NUM
iogr-427	122	11	6	6	NUM
iogr-427	122	12	3	3	NUM
iogr-427	122	13	7	7	NUM
iogr-427	122	14	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	NOUN
iogr-427	122	15	)	)	PUNCT
iogr-427	122	16	=	=	PUNCT
iogr-427	122	17	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	122	18	)	)	PUNCT
iogr-427	122	19	=	=	SYM
iogr-427	123	1	𝑖	𝑖	NOUN
iogr-427	123	2	]	]	X
iogr-427	124	1	=	=	X
iogr-427	124	2	{	{	PUNCT
iogr-427	124	3	𝜂𝑗𝑏𝑗	𝜂𝑗𝑏𝑗	NOUN
iogr-427	124	4	𝑙𝑗⁄	𝑙𝑗⁄	PROPN
iogr-427	124	5	∑	∑	PROPN
iogr-427	124	6	𝜂𝑘𝑏𝑘	𝜂𝑘𝑏𝑘	NOUN
iogr-427	124	7	𝑙𝑘⁄𝑘∈𝑁𝑖	𝑙𝑘⁄𝑘∈𝑁𝑖	PROPN
iogr-427	124	8	,	,	PUNCT
iogr-427	124	9	𝑗	𝑗	INTJ
iogr-427	124	10	≠	≠	PROPN
iogr-427	124	11	𝑖	𝑖	ADP
iogr-427	124	12	0	0	NUM
iogr-427	124	13	,	,	PUNCT
iogr-427	124	14	𝑗	𝑗	NOUN
iogr-427	124	15	=	=	SYM
iogr-427	124	16	𝑖	𝑖	PROPN
iogr-427	124	17	,	,	PUNCT
iogr-427	124	18	…	…	PUNCT
iogr-427	124	19	…	…	PUNCT
iogr-427	124	20	…	…	PUNCT
iogr-427	124	21	…	…	PUNCT
iogr-427	124	22	…	…	PUNCT
iogr-427	124	23	…	…	PUNCT
iogr-427	124	24	…	…	PUNCT
iogr-427	124	25	…	…	PUNCT
iogr-427	124	26	…	…	PUNCT
iogr-427	124	27	…	…	PUNCT
iogr-427	124	28	…	…	PUNCT
iogr-427	124	29	…	…	PUNCT
iogr-427	124	30	…	…	PUNCT
iogr-427	124	31	…	…	PUNCT
iogr-427	124	32	…	…	PUNCT
iogr-427	124	33	…	…	PUNCT
iogr-427	124	34	…	…	PUNCT
iogr-427	124	35	…	…	PUNCT
iogr-427	124	36	…	…	PUNCT
iogr-427	124	37	…	…	PUNCT
iogr-427	124	38	..	..	PUNCT
iogr-427	124	39	(	(	PUNCT
iogr-427	124	40	9	9	NUM
iogr-427	124	41	)	)	PUNCT
iogr-427	124	42	where	where	SCONJ
iogr-427	124	43	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	NOUN
iogr-427	124	44	)	)	PUNCT
iogr-427	124	45	=	=	PUNCT
iogr-427	124	46	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	124	47	)	)	PUNCT
iogr-427	124	48	=	=	SYM
iogr-427	125	1	𝑖	𝑖	X
iogr-427	125	2	]	]	PUNCT
iogr-427	125	3	is	be	AUX
iogr-427	125	4	the	the	DET
iogr-427	125	5	probability	probability	NOUN
iogr-427	125	6	for	for	ADP
iogr-427	125	7	jumping	jump	VERB
iogr-427	125	8	from	from	ADP
iogr-427	125	9	the	the	DET
iogr-427	125	10	current	current	ADJ
iogr-427	125	11	state	state	NOUN
iogr-427	125	12	𝑖	𝑖	NOUN
iogr-427	125	13	to	to	ADP
iogr-427	125	14	the	the	DET
iogr-427	125	15	neighbor	neighbor	NOUN
iogr-427	125	16	state	state	PROPN
iogr-427	125	17	𝑗	𝑗	PROPN
iogr-427	125	18	,	,	PUNCT
iogr-427	125	19	𝑁𝑖	𝑁𝑖	PROPN
iogr-427	125	20	is	be	AUX
iogr-427	125	21	the	the	DET
iogr-427	125	22	set	set	NOUN
iogr-427	125	23	of	of	ADP
iogr-427	125	24	neighbor	neighbor	NOUN
iogr-427	125	25	states	state	NOUN
iogr-427	125	26	of	of	ADP
iogr-427	125	27	𝑖	𝑖	ADP
iogr-427	125	28	,	,	PUNCT
iogr-427	125	29	and	and	CCONJ
iogr-427	125	30	𝜂𝑘	𝜂𝑘	ADP
iogr-427	125	31	,	,	PUNCT
iogr-427	125	32	𝑏𝑘	𝑏𝑘	PROPN
iogr-427	125	33	and	and	CCONJ
iogr-427	125	34	𝑙𝑘	𝑙𝑘	PROPN
iogr-427	125	35	are	be	AUX
iogr-427	125	36	respectively	respectively	ADV
iogr-427	125	37	the	the	DET
iogr-427	125	38	diffusivity	diffusivity	NOUN
iogr-427	125	39	coefficient	coefficient	NOUN
iogr-427	125	40	,	,	PUNCT
iogr-427	125	41	aperture	aperture	ADJ
iogr-427	125	42	and	and	CCONJ
iogr-427	125	43	length	length	NOUN
iogr-427	125	44	of	of	ADP
iogr-427	125	45	the	the	DET
iogr-427	125	46	fracture	fracture	NOUN
iogr-427	125	47	segment	segment	NOUN
iogr-427	125	48	connecting	connect	VERB
iogr-427	125	49	𝑖	𝑖	PRON
iogr-427	125	50	and	and	CCONJ
iogr-427	125	51	one	one	NUM
iogr-427	125	52	of	of	ADP
iogr-427	125	53	its	its	PRON
iogr-427	125	54	neighbor	neighbor	NOUN
iogr-427	125	55	state	state	NOUN
iogr-427	125	56	𝑘	𝑘	PROPN
iogr-427	125	57	.	.	PUNCT
iogr-427	126	1	only	only	ADV
iogr-427	126	2	if	if	SCONJ
iogr-427	126	3	this	this	DET
iogr-427	126	4	kind	kind	NOUN
iogr-427	126	5	of	of	ADP
iogr-427	126	6	probability	probability	NOUN
iogr-427	126	7	distribution	distribution	NOUN
iogr-427	126	8	is	be	AUX
iogr-427	126	9	applied	apply	VERB
iogr-427	126	10	will	will	AUX
iogr-427	126	11	the	the	DET
iogr-427	126	12	resulting	result	VERB
iogr-427	126	13	expectation	expectation	NOUN
iogr-427	126	14	of	of	ADP
iogr-427	126	15	the	the	DET
iogr-427	126	16	stochastic	stochastic	ADJ
iogr-427	126	17	process	process	NOUN
iogr-427	126	18	hold	hold	VERB
iogr-427	126	19	consistency	consistency	NOUN
iogr-427	126	20	with	with	ADP
iogr-427	126	21	the	the	DET
iogr-427	126	22	solution	solution	NOUN
iogr-427	126	23	of	of	ADP
iogr-427	126	24	the	the	DET
iogr-427	126	25	diffusivity	diffusivity	NOUN
iogr-427	126	26	equation	equation	NOUN
iogr-427	126	27	.	.	PUNCT
iogr-427	127	1	however	however	ADV
iogr-427	127	2	,	,	PUNCT
iogr-427	127	3	the	the	DET
iogr-427	127	4	above	above	ADJ
iogr-427	127	5	probability	probability	NOUN
iogr-427	127	6	distribution	distribution	NOUN
iogr-427	127	7	only	only	ADV
iogr-427	127	8	applies	apply	VERB
iogr-427	127	9	to	to	ADP
iogr-427	127	10	the	the	DET
iogr-427	127	11	states	state	NOUN
iogr-427	127	12	corresponding	correspond	VERB
iogr-427	127	13	to	to	ADP
iogr-427	127	14	regular	regular	ADJ
iogr-427	127	15	points	point	NOUN
iogr-427	127	16	,	,	PUNCT
iogr-427	127	17	not	not	PART
iogr-427	127	18	to	to	ADP
iogr-427	127	19	those	those	DET
iogr-427	127	20	points	point	NOUN
iogr-427	127	21	located	locate	VERB
iogr-427	127	22	on	on	ADP
iogr-427	127	23	the	the	DET
iogr-427	127	24	hydraulic	hydraulic	ADJ
iogr-427	127	25	fracture	fracture	NOUN
iogr-427	127	26	.	.	PUNCT
iogr-427	128	1	as	as	SCONJ
iogr-427	128	2	stated	state	VERB
iogr-427	128	3	in	in	ADP
iogr-427	128	4	the	the	DET
iogr-427	128	5	assumptions	assumption	NOUN
iogr-427	128	6	,	,	PUNCT
iogr-427	128	7	the	the	DET
iogr-427	128	8	hydraulic	hydraulic	ADJ
iogr-427	128	9	fracture	fracture	NOUN
iogr-427	128	10	has	have	VERB
iogr-427	128	11	infinite	infinite	ADJ
iogr-427	128	12	conductivity	conductivity	NOUN
iogr-427	128	13	,	,	PUNCT
iogr-427	128	14	which	which	PRON
iogr-427	128	15	is	be	AUX
iogr-427	128	16	translated	translate	VERB
iogr-427	128	17	into	into	ADP
iogr-427	128	18	total	total	ADJ
iogr-427	128	19	absorbing	absorb	VERB
iogr-427	128	20	states	state	NOUN
iogr-427	128	21	for	for	ADP
iogr-427	128	22	the	the	DET
iogr-427	128	23	particle	particle	NOUN
iogr-427	128	24	stochastic	stochastic	NOUN
iogr-427	128	25	motion	motion	NOUN
iogr-427	128	26	.	.	PUNCT
iogr-427	129	1	it	it	PRON
iogr-427	129	2	means	mean	VERB
iogr-427	129	3	that	that	SCONJ
iogr-427	129	4	whenever	whenever	SCONJ
iogr-427	129	5	a	a	DET
iogr-427	129	6	particle	particle	NOUN
iogr-427	129	7	jumps	jump	VERB
iogr-427	129	8	into	into	ADP
iogr-427	129	9	these	these	DET
iogr-427	129	10	states	state	NOUN
iogr-427	129	11	,	,	PUNCT
iogr-427	129	12	it	it	PRON
iogr-427	129	13	will	will	AUX
iogr-427	129	14	stay	stay	VERB
iogr-427	129	15	there	there	ADV
iogr-427	129	16	forever	forever	ADV
iogr-427	129	17	and	and	CCONJ
iogr-427	129	18	will	will	AUX
iogr-427	129	19	not	not	PART
iogr-427	129	20	jump	jump	VERB
iogr-427	129	21	to	to	ADP
iogr-427	129	22	other	other	ADJ
iogr-427	129	23	states	state	NOUN
iogr-427	129	24	again	again	ADV
iogr-427	129	25	.	.	PUNCT
iogr-427	130	1	apparently	apparently	ADV
iogr-427	130	2	,	,	PUNCT
iogr-427	130	3	the	the	DET
iogr-427	130	4	probability	probability	NOUN
iogr-427	130	5	distribution	distribution	NOUN
iogr-427	130	6	of	of	ADP
iogr-427	130	7	these	these	DET
iogr-427	130	8	absorbing	absorb	VERB
iogr-427	130	9	states	state	NOUN
iogr-427	130	10	is	be	AUX
iogr-427	130	11	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	ADJ
iogr-427	130	12	)	)	PUNCT
iogr-427	130	13	=	=	PUNCT
iogr-427	130	14	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	130	15	)	)	PUNCT
iogr-427	130	16	=	=	SYM
iogr-427	130	17	𝑖	𝑖	NOUN
iogr-427	130	18	]	]	X
iogr-427	130	19	=	=	X
iogr-427	130	20	{	{	PUNCT
iogr-427	130	21	0	0	NUM
iogr-427	130	22	,	,	PUNCT
iogr-427	130	23	𝑗	𝑗	PROPN
iogr-427	130	24	≠	≠	PROPN
iogr-427	130	25	𝑖	𝑖	ADP
iogr-427	130	26	1	1	NUM
iogr-427	130	27	,	,	PUNCT
iogr-427	130	28	𝑗	𝑗	NOUN
iogr-427	130	29	=	=	SYM
iogr-427	130	30	𝑖	𝑖	SYM
iogr-427	130	31	…	…	PUNCT
iogr-427	130	32	…	…	PUNCT
iogr-427	130	33	…	…	PUNCT
iogr-427	130	34	…	…	PUNCT
iogr-427	130	35	…	…	PUNCT
iogr-427	130	36	…	…	PUNCT
iogr-427	130	37	…	…	PUNCT
iogr-427	130	38	…	…	PUNCT
iogr-427	130	39	..	..	PUNCT
iogr-427	130	40	…	…	PUNCT
iogr-427	130	41	…	…	PUNCT
iogr-427	130	42	…	…	PUNCT
iogr-427	130	43	…	…	PUNCT
iogr-427	130	44	…	…	PUNCT
iogr-427	130	45	…	…	PUNCT
iogr-427	130	46	…	…	PUNCT
iogr-427	130	47	…	…	PUNCT
iogr-427	130	48	…	…	PUNCT
iogr-427	130	49	..	..	PUNCT
iogr-427	130	50	…	…	PUNCT
iogr-427	130	51	…	…	PUNCT
iogr-427	130	52	…	…	PUNCT
iogr-427	130	53	…	…	PUNCT
iogr-427	130	54	…	…	PUNCT
iogr-427	130	55	.(10	.(10	NUM
iogr-427	130	56	)	)	PUNCT
iogr-427	131	1	this	this	DET
iogr-427	131	2	definition	definition	NOUN
iogr-427	131	3	of	of	ADP
iogr-427	131	4	absorbing	absorb	VERB
iogr-427	131	5	state	state	NOUN
iogr-427	131	6	is	be	AUX
iogr-427	131	7	consistent	consistent	ADJ
iogr-427	131	8	with	with	ADP
iogr-427	131	9	the	the	DET
iogr-427	131	10	constant	constant	ADJ
iogr-427	131	11	pressure	pressure	NOUN
iogr-427	131	12	condition	condition	NOUN
iogr-427	131	13	on	on	ADP
iogr-427	131	14	the	the	DET
iogr-427	131	15	hydraulic	hydraulic	ADJ
iogr-427	131	16	fracture	fracture	PROPN
iogr-427	131	17	boundary	boundary	NOUN
iogr-427	131	18	.	.	PUNCT
iogr-427	132	1	no	no	ADV
iogr-427	132	2	matter	matter	ADV
iogr-427	132	3	what	what	PRON
iogr-427	132	4	type	type	NOUN
iogr-427	132	5	the	the	DET
iogr-427	132	6	state	state	NOUN
iogr-427	132	7	is	be	AUX
iogr-427	132	8	,	,	PUNCT
iogr-427	132	9	its	its	PRON
iogr-427	132	10	probability	probability	NOUN
iogr-427	132	11	distribution	distribution	NOUN
iogr-427	132	12	satisfies	satisfy	VERB
iogr-427	132	13	the	the	DET
iogr-427	132	14	normalization	normalization	NOUN
iogr-427	132	15	condition	condition	NOUN
iogr-427	133	1	that	that	SCONJ
iogr-427	133	2	∑	∑	ADV
iogr-427	133	3	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	PROPN
iogr-427	133	4	)	)	PUNCT
iogr-427	133	5	=	=	PUNCT
iogr-427	133	6	𝑗|𝑋(𝑠	𝑗|𝑋(𝑠	NOUN
iogr-427	133	7	)	)	PUNCT
iogr-427	133	8	=	=	SYM
iogr-427	133	9	𝑖	𝑖	X
iogr-427	133	10	]	]	PUNCT
iogr-427	133	11	𝑗∈𝑁𝑖	𝑗∈𝑁𝑖	NOUN
iogr-427	133	12	=	=	NOUN
iogr-427	133	13	1	1	NUM
iogr-427	133	14	....	....	PUNCT
iogr-427	133	15	…	…	PUNCT
iogr-427	133	16	…	…	PUNCT
iogr-427	133	17	…	…	PUNCT
iogr-427	133	18	…	…	PUNCT
iogr-427	133	19	…	…	PUNCT
iogr-427	133	20	…	…	PUNCT
iogr-427	133	21	…	…	PUNCT
iogr-427	133	22	…	…	PUNCT
iogr-427	133	23	…	…	PUNCT
iogr-427	133	24	…	…	PUNCT
iogr-427	133	25	…	…	PUNCT
iogr-427	133	26	…	…	PUNCT
iogr-427	133	27	…	…	PUNCT
iogr-427	133	28	…	…	PUNCT
iogr-427	133	29	…	…	PUNCT
iogr-427	133	30	…	…	PUNCT
iogr-427	133	31	…	…	PUNCT
iogr-427	133	32	…	…	PUNCT
iogr-427	133	33	..	..	PUNCT
iogr-427	133	34	…	…	PUNCT
iogr-427	133	35	..	..	PUNCT
iogr-427	133	36	…	…	PUNCT
iogr-427	133	37	…	…	PUNCT
iogr-427	133	38	…	…	PUNCT
iogr-427	133	39	…	…	PUNCT
iogr-427	133	40	…	…	PUNCT
iogr-427	133	41	.(11	.(11	NUM
iogr-427	133	42	)	)	PUNCT
iogr-427	133	43	both	both	DET
iogr-427	133	44	definitions	definition	NOUN
iogr-427	133	45	in	in	ADP
iogr-427	133	46	eqs.9	eqs.9	PROPN
iogr-427	133	47	and	and	CCONJ
iogr-427	133	48	10	10	NUM
iogr-427	133	49	use	use	NOUN
iogr-427	133	50	only	only	ADV
iogr-427	133	51	the	the	DET
iogr-427	133	52	information	information	NOUN
iogr-427	133	53	of	of	ADP
iogr-427	133	54	current	current	ADJ
iogr-427	133	55	state	state	NOUN
iogr-427	133	56	𝑖	𝑖	NOUN
iogr-427	133	57	,	,	PUNCT
iogr-427	133	58	which	which	PRON
iogr-427	133	59	manifests	manifest	VERB
iogr-427	133	60	this	this	DET
iogr-427	133	61	process	process	NOUN
iogr-427	133	62	as	as	ADP
iogr-427	133	63	a	a	DET
iogr-427	133	64	markov	markov	NOUN
iogr-427	133	65	chain	chain	NOUN
iogr-427	133	66	.	.	PUNCT
iogr-427	134	1	besides	besides	SCONJ
iogr-427	134	2	the	the	DET
iogr-427	134	3	spatial	spatial	ADJ
iogr-427	134	4	increment	increment	NOUN
iogr-427	134	5	,	,	PUNCT
iogr-427	134	6	the	the	DET
iogr-427	134	7	temporal	temporal	ADJ
iogr-427	134	8	increment	increment	NOUN
iogr-427	134	9	(	(	PUNCT
iogr-427	134	10	the	the	DET
iogr-427	134	11	“	"	PUNCT
iogr-427	134	12	waiting	wait	VERB
iogr-427	134	13	time	time	NOUN
iogr-427	134	14	”	"	PUNCT
iogr-427	134	15	)	)	PUNCT
iogr-427	134	16	should	should	AUX
iogr-427	134	17	also	also	ADV
iogr-427	134	18	keep	keep	VERB
iogr-427	134	19	the	the	DET
iogr-427	134	20	markov	markov	NOUN
iogr-427	134	21	property	property	NOUN
iogr-427	134	22	,	,	PUNCT
iogr-427	134	23	which	which	PRON
iogr-427	134	24	means	mean	VERB
iogr-427	134	25	that	that	SCONJ
iogr-427	134	26	only	only	ADV
iogr-427	134	27	the	the	DET
iogr-427	134	28	“	"	PUNCT
iogr-427	134	29	memoryless	memoryless	NOUN
iogr-427	134	30	”	"	PUNCT
iogr-427	134	31	poisson	poisson	NOUN
iogr-427	134	32	distribution	distribution	NOUN
iogr-427	134	33	should	should	AUX
iogr-427	134	34	be	be	AUX
iogr-427	134	35	applied	apply	VERB
iogr-427	134	36	to	to	ADP
iogr-427	134	37	the	the	DET
iogr-427	134	38	temporal	temporal	ADJ
iogr-427	134	39	increment	increment	NOUN
iogr-427	134	40	.	.	PUNCT
iogr-427	135	1	while	while	SCONJ
iogr-427	135	2	the	the	DET
iogr-427	135	3	markov	markov	NOUN
iogr-427	135	4	property	property	NOUN
iogr-427	135	5	of	of	ADP
iogr-427	135	6	time	time	NOUN
iogr-427	135	7	will	will	AUX
iogr-427	135	8	later	later	ADV
iogr-427	135	9	be	be	AUX
iogr-427	135	10	considered	consider	VERB
iogr-427	135	11	implicitly	implicitly	ADV
iogr-427	135	12	by	by	ADP
iogr-427	135	13	the	the	DET
iogr-427	135	14	kolmogorov	kolmogorov	ADJ
iogr-427	135	15	forward	forward	ADJ
iogr-427	135	16	equation	equation	NOUN
iogr-427	135	17	,	,	PUNCT
iogr-427	135	18	we	we	PRON
iogr-427	135	19	state	state	VERB
iogr-427	135	20	the	the	DET
iogr-427	135	21	temporal	temporal	ADJ
iogr-427	135	22	increment	increment	NOUN
iogr-427	135	23	’s	’s	PART
iogr-427	135	24	poisson	poisson	NOUN
iogr-427	135	25	distribution	distribution	NOUN
iogr-427	135	26	here	here	ADV
iogr-427	135	27	for	for	ADP
iogr-427	135	28	completeness	completeness	NOUN
iogr-427	135	29	.	.	PUNCT
iogr-427	136	1	by	by	ADP
iogr-427	136	2	the	the	DET
iogr-427	136	3	above	above	ADJ
iogr-427	136	4	concepts	concept	NOUN
iogr-427	136	5	,	,	PUNCT
iogr-427	136	6	we	we	PRON
iogr-427	136	7	have	have	AUX
iogr-427	136	8	implicitly	implicitly	ADV
iogr-427	136	9	described	describe	VERB
iogr-427	136	10	the	the	DET
iogr-427	136	11	fracture	fracture	PROPN
iogr-427	136	12	network	network	NOUN
iogr-427	136	13	as	as	ADP
iogr-427	136	14	a	a	DET
iogr-427	136	15	graph	graph	NOUN
iogr-427	136	16	object	object	NOUN
iogr-427	136	17	,	,	PUNCT
iogr-427	136	18	which	which	PRON
iogr-427	136	19	has	have	VERB
iogr-427	136	20	the	the	DET
iogr-427	136	21	endpoints	endpoint	NOUN
iogr-427	136	22	and	and	CCONJ
iogr-427	136	23	the	the	DET
iogr-427	136	24	intersection	intersection	NOUN
iogr-427	136	25	points	point	NOUN
iogr-427	136	26	of	of	ADP
iogr-427	136	27	the	the	DET
iogr-427	136	28	fracture	fracture	ADJ
iogr-427	136	29	segments	segment	NOUN
iogr-427	136	30	as	as	ADP
iogr-427	136	31	the	the	DET
iogr-427	136	32	nodes	node	NOUN
iogr-427	136	33	and	and	CCONJ
iogr-427	136	34	the	the	DET
iogr-427	136	35	fracture	fracture	NOUN
iogr-427	136	36	segments	segment	NOUN
iogr-427	136	37	between	between	ADP
iogr-427	136	38	these	these	DET
iogr-427	136	39	nodes	node	NOUN
iogr-427	136	40	as	as	ADP
iogr-427	136	41	edges	edge	NOUN
iogr-427	136	42	.	.	PUNCT
iogr-427	137	1	this	this	DET
iogr-427	137	2	graph	graph	NOUN
iogr-427	137	3	is	be	AUX
iogr-427	137	4	certainly	certainly	ADV
iogr-427	137	5	related	relate	VERB
iogr-427	137	6	to	to	ADP
iogr-427	137	7	the	the	DET
iogr-427	137	8	corresponding	corresponding	ADJ
iogr-427	137	9	fracture	fracture	PROPN
iogr-427	137	10	network	network	NOUN
iogr-427	137	11	,	,	PUNCT
iogr-427	137	12	so	so	SCONJ
iogr-427	137	13	the	the	DET
iogr-427	137	14	graph	graph	NOUN
iogr-427	137	15	is	be	AUX
iogr-427	137	16	classified	classify	VERB
iogr-427	137	17	to	to	PART
iogr-427	137	18	be	be	AUX
iogr-427	137	19	a	a	DET
iogr-427	137	20	geometric	geometric	ADJ
iogr-427	137	21	graph	graph	NOUN
iogr-427	137	22	with	with	ADP
iogr-427	137	23	euclidean	euclidean	ADJ
iogr-427	137	24	coordinates	coordinate	NOUN
iogr-427	137	25	as	as	ADP
iogr-427	137	26	one	one	NUM
iogr-427	137	27	of	of	ADP
iogr-427	137	28	the	the	DET
iogr-427	137	29	node	node	NOUN
iogr-427	137	30	attributes	attribute	NOUN
iogr-427	137	31	and	and	CCONJ
iogr-427	137	32	length	length	NOUN
iogr-427	137	33	as	as	ADP
iogr-427	137	34	one	one	NUM
iogr-427	137	35	of	of	ADP
iogr-427	137	36	the	the	DET
iogr-427	137	37	edge	edge	NOUN
iogr-427	137	38	attributes	attribute	VERB
iogr-427	137	39	.	.	PUNCT
iogr-427	138	1	besides	besides	SCONJ
iogr-427	138	2	,	,	PUNCT
iogr-427	138	3	another	another	DET
iogr-427	138	4	critical	critical	ADJ
iogr-427	138	5	attribute	attribute	NOUN
iogr-427	138	6	for	for	ADP
iogr-427	138	7	each	each	DET
iogr-427	138	8	edge	edge	NOUN
iogr-427	138	9	is	be	AUX
iogr-427	138	10	the	the	DET
iogr-427	138	11	weight	weight	NOUN
iogr-427	138	12	,	,	PUNCT
iogr-427	138	13	which	which	PRON
iogr-427	138	14	defines	define	VERB
iogr-427	138	15	the	the	DET
iogr-427	138	16	transition	transition	NOUN
iogr-427	138	17	rate	rate	NOUN
iogr-427	138	18	of	of	ADP
iogr-427	138	19	the	the	DET
iogr-427	138	20	ctmc	ctmc	NOUN
iogr-427	138	21	and	and	CCONJ
iogr-427	138	22	is	be	AUX
iogr-427	138	23	related	relate	VERB
iogr-427	138	24	to	to	ADP
iogr-427	138	25	the	the	DET
iogr-427	138	26	probability	probability	NOUN
iogr-427	138	27	distribution	distribution	NOUN
iogr-427	138	28	previously	previously	ADV
iogr-427	138	29	discussed	discuss	VERB
iogr-427	138	30	.	.	PUNCT
iogr-427	139	1	the	the	DET
iogr-427	139	2	edge	edge	NOUN
iogr-427	139	3	weight	weight	NOUN
iogr-427	139	4	is	be	AUX
iogr-427	139	5	naturally	naturally	ADV
iogr-427	139	6	defined	define	VERB
iogr-427	139	7	as	as	ADP
iogr-427	139	8	𝜂𝑏	𝜂𝑏	PROPN
iogr-427	139	9	𝑙⁄	𝑙⁄	PROPN
iogr-427	139	10	.	.	PUNCT
iogr-427	140	1	briefly	briefly	PROPN
iogr-427	140	2	speaking	speak	VERB
iogr-427	140	3	,	,	PUNCT
iogr-427	140	4	introducing	introduce	VERB
iogr-427	140	5	the	the	DET
iogr-427	140	6	graph	graph	NOUN
iogr-427	140	7	definition	definition	NOUN
iogr-427	140	8	and	and	CCONJ
iogr-427	140	9	terminologies	terminology	NOUN
iogr-427	140	10	explicitly	explicitly	ADV
iogr-427	140	11	will	will	AUX
iogr-427	140	12	make	make	VERB
iogr-427	140	13	our	our	PRON
iogr-427	140	14	simulation	simulation	NOUN
iogr-427	140	15	easier	easy	ADJ
iogr-427	140	16	to	to	PART
iogr-427	140	17	be	be	AUX
iogr-427	140	18	implemented	implement	VERB
iogr-427	140	19	by	by	ADP
iogr-427	140	20	programming	programming	NOUN
iogr-427	140	21	.	.	PUNCT
iogr-427	141	1	so	so	ADV
iogr-427	141	2	far	far	ADV
iogr-427	141	3	,	,	PUNCT
iogr-427	141	4	we	we	PRON
iogr-427	141	5	have	have	AUX
iogr-427	141	6	reduced	reduce	VERB
iogr-427	141	7	our	our	PRON
iogr-427	141	8	problem	problem	NOUN
iogr-427	141	9	to	to	ADP
iogr-427	141	10	a	a	DET
iogr-427	141	11	feasible	feasible	ADJ
iogr-427	141	12	task	task	NOUN
iogr-427	141	13	that	that	PRON
iogr-427	141	14	a	a	DET
iogr-427	141	15	ctmc	ctmc	NOUN
iogr-427	141	16	is	be	AUX
iogr-427	141	17	to	to	PART
iogr-427	141	18	be	be	AUX
iogr-427	141	19	simulated	simulate	VERB
iogr-427	141	20	on	on	ADP
iogr-427	141	21	a	a	DET
iogr-427	141	22	geometric	geometric	ADJ
iogr-427	141	23	graph	graph	NOUN
iogr-427	141	24	object	object	NOUN
iogr-427	141	25	,	,	PUNCT
iogr-427	141	26	whose	whose	DET
iogr-427	141	27	set	set	NOUN
iogr-427	141	28	of	of	ADP
iogr-427	141	29	nodes	node	NOUN
iogr-427	141	30	are	be	AUX
iogr-427	141	31	taken	take	VERB
iogr-427	141	32	as	as	ADP
iogr-427	141	33	the	the	DET
iogr-427	141	34	finite	finite	ADJ
iogr-427	141	35	state	state	NOUN
iogr-427	141	36	space	space	NOUN
iogr-427	141	37	,	,	PUNCT
iogr-427	141	38	and	and	CCONJ
iogr-427	141	39	the	the	DET
iogr-427	141	40	weight	weight	NOUN
iogr-427	141	41	,	,	PUNCT
iogr-427	141	42	𝜂𝑏	𝜂𝑏	PROPN
iogr-427	141	43	𝑙⁄	𝑙⁄	PROPN
iogr-427	141	44	,	,	PUNCT
iogr-427	141	45	of	of	ADP
iogr-427	141	46	the	the	DET
iogr-427	141	47	edge	edge	NOUN
iogr-427	141	48	between	between	ADP
iogr-427	141	49	node	node	PROPN
iogr-427	141	50	𝑖	𝑖	PROPN
iogr-427	141	51	and	and	CCONJ
iogr-427	141	52	𝑗	𝑗	INTJ
iogr-427	141	53	as	as	ADP
iogr-427	141	54	the	the	DET
iogr-427	141	55	major	major	ADJ
iogr-427	141	56	part	part	NOUN
iogr-427	141	57	of	of	ADP
iogr-427	141	58	transition	transition	NOUN
iogr-427	141	59	rate	rate	NOUN
iogr-427	141	60	𝑞𝑖𝑗.	𝑞𝑖𝑗.	NOUN
iogr-427	141	61	by	by	ADP
iogr-427	141	62	the	the	DET
iogr-427	141	63	kolmogorov	kolmogorov	ADJ
iogr-427	141	64	forward	forward	ADJ
iogr-427	141	65	equation	equation	NOUN
iogr-427	141	66	(	(	PUNCT
iogr-427	141	67	itô	itô	PROPN
iogr-427	141	68	1974	1974	NUM
iogr-427	141	69	)	)	PUNCT
iogr-427	141	70	,	,	PUNCT
iogr-427	141	71	for	for	ADP
iogr-427	141	72	the	the	DET
iogr-427	141	73	node	node	PROPN
iogr-427	141	74	𝑖	𝑖	SYM
iogr-427	141	75	,	,	PUNCT
iogr-427	141	76	we	we	PRON
iogr-427	141	77	have	have	VERB
iogr-427	141	78	𝑑𝑃𝑖𝑗(𝑡	𝑑𝑃𝑖𝑗(𝑡	NOUN
iogr-427	141	79	)	)	PUNCT
iogr-427	141	80	𝑑𝑡	𝑑𝑡	ADP
iogr-427	141	81	=	=	SYM
iogr-427	141	82	∑	∑	PROPN
iogr-427	141	83	𝑃𝑖𝑘(𝑡)𝑞𝑘𝑗𝑘∈𝑆	𝑃𝑖𝑘(𝑡)𝑞𝑘𝑗𝑘∈𝑆	PROPN
iogr-427	141	84	...	...	PUNCT
iogr-427	141	85	…	…	PUNCT
iogr-427	141	86	…	…	PUNCT
iogr-427	141	87	…	…	PUNCT
iogr-427	141	88	…	…	PUNCT
iogr-427	141	89	…	…	PUNCT
iogr-427	141	90	…	…	PUNCT
iogr-427	141	91	…	…	PUNCT
iogr-427	141	92	…	…	PUNCT
iogr-427	141	93	…	…	PUNCT
iogr-427	141	94	…	…	PUNCT
iogr-427	141	95	…	…	PUNCT
iogr-427	141	96	…	…	PUNCT
iogr-427	141	97	…	…	SYM
iogr-427	141	98	.	.	NUM
iogr-427	141	99	…	…	PUNCT
iogr-427	141	100	…	…	PUNCT
iogr-427	141	101	…	…	PUNCT
iogr-427	141	102	…	…	PUNCT
iogr-427	141	103	…	…	PUNCT
iogr-427	141	104	…	…	PUNCT
iogr-427	141	105	…	…	PUNCT
iogr-427	141	106	..	..	PUNCT
iogr-427	141	107	…	…	PUNCT
iogr-427	141	108	…	…	PUNCT
iogr-427	141	109	…	…	PUNCT
iogr-427	141	110	…	…	PUNCT
iogr-427	141	111	…	…	SYM
iogr-427	141	112	.	.	NUM
iogr-427	141	113	…	…	PUNCT
iogr-427	141	114	…	…	PUNCT
iogr-427	141	115	…	…	PUNCT
iogr-427	141	116	(12	(12	NUM
iogr-427	141	117	)	)	PUNCT
iogr-427	141	118	in	in	ADP
iogr-427	141	119	eq.12	eq.12	PROPN
iogr-427	141	120	,	,	PUNCT
iogr-427	141	121	𝑃𝑖𝑗(𝑡	𝑃𝑖𝑗(𝑡	NOUN
iogr-427	141	122	)	)	PUNCT
iogr-427	141	123	=	=	SYM
iogr-427	141	124	𝑃[𝑋(𝑡	𝑃[𝑋(𝑡	PROPN
iogr-427	141	125	)	)	PUNCT
iogr-427	141	126	=	=	SYM
iogr-427	141	127	𝑗|𝑋(0	𝑗|𝑋(0	PROPN
iogr-427	141	128	)	)	PUNCT
iogr-427	141	129	=	=	SYM
iogr-427	142	1	𝑖	𝑖	X
iogr-427	142	2	]	]	PUNCT
iogr-427	142	3	is	be	AUX
iogr-427	142	4	the	the	DET
iogr-427	142	5	probability	probability	NOUN
iogr-427	142	6	for	for	SCONJ
iogr-427	142	7	the	the	DET
iogr-427	142	8	particle	particle	NOUN
iogr-427	142	9	occurring	occur	VERB
iogr-427	142	10	at	at	ADP
iogr-427	142	11	node	node	PROPN
iogr-427	142	12	𝑗	𝑗	NOUN
iogr-427	142	13	at	at	ADP
iogr-427	142	14	time	time	NOUN
iogr-427	142	15	𝑡	𝑡	PROPN
iogr-427	142	16	after	after	SCONJ
iogr-427	142	17	it	it	PRON
iogr-427	142	18	starts	start	VERB
iogr-427	142	19	moving	move	VERB
iogr-427	142	20	from	from	ADP
iogr-427	142	21	the	the	DET
iogr-427	142	22	initial	initial	ADJ
iogr-427	142	23	node	node	NOUN
iogr-427	142	24	𝑖.	𝑖.	ADV
iogr-427	142	25	𝑞𝑘𝑗	𝑞𝑘𝑗	ADV
iogr-427	142	26	as	as	ADP
iogr-427	142	27	the	the	DET
iogr-427	142	28	transition	transition	NOUN
iogr-427	142	29	rate	rate	NOUN
iogr-427	142	30	between	between	ADP
iogr-427	142	31	node	node	PROPN
iogr-427	142	32	𝑘	𝑘	PROPN
iogr-427	142	33	and	and	CCONJ
iogr-427	142	34	node	node	PROPN
iogr-427	142	35	𝑗	𝑗	INTJ
iogr-427	142	36	has	have	VERB
iogr-427	142	37	the	the	DET
iogr-427	142	38	definition	definition	NOUN
iogr-427	142	39	as	as	SCONJ
iogr-427	142	40	shown	show	VERB
iogr-427	142	41	in	in	ADP
iogr-427	142	42	eq.13	eq.13	PROPN
iogr-427	142	43	.	.	PUNCT
iogr-427	143	1	𝑞𝑘𝑗	𝑞𝑘𝑗	PROPN
iogr-427	143	2	=	=	PRON
iogr-427	143	3	{	{	PUNCT
iogr-427	143	4	𝜂𝑗𝑏𝑗	𝜂𝑗𝑏𝑗	PROPN
iogr-427	143	5	(	(	PUNCT
iogr-427	143	6	𝑙𝑗𝑎	𝑙𝑗𝑎	PROPN
iogr-427	143	7	2)⁄	2)⁄	NUM
iogr-427	143	8	,	,	PUNCT
iogr-427	143	9	𝑘	𝑘	DET
iogr-427	143	10	≠	≠	PROPN
iogr-427	143	11	𝑗	𝑗	PRON
iogr-427	143	12	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iogr-427	143	13	𝑗	𝑗	PROPN
iogr-427	143	14	∈	∈	PROPN
iogr-427	143	15	𝑁𝑘	𝑁𝑘	PROPN
iogr-427	143	16	−∑	−∑	PROPN
iogr-427	143	17	𝜂𝑗𝑏𝑗	𝜂𝑗𝑏𝑗	NOUN
iogr-427	143	18	(	(	PUNCT
iogr-427	143	19	𝑙𝑗𝑎	𝑙𝑗𝑎	PROPN
iogr-427	143	20	2)⁄𝑗∈𝑁𝑘	2)⁄𝑗∈𝑁𝑘	NUM
iogr-427	143	21	,	,	PUNCT
iogr-427	143	22	𝑘	𝑘	X
iogr-427	143	23	=	=	X
iogr-427	143	24	𝑗	𝑗	PROPN
iogr-427	143	25	0	0	NUM
iogr-427	143	26	,	,	PUNCT
iogr-427	143	27	𝑜𝑡ℎ𝑒𝑟𝑠	𝑜𝑡ℎ𝑒𝑟𝑠	PROPN
iogr-427	143	28	,	,	PUNCT
iogr-427	143	29	…	…	PUNCT
iogr-427	143	30	…	…	PUNCT
iogr-427	143	31	…	…	PUNCT
iogr-427	143	32	…	…	PUNCT
iogr-427	143	33	…	…	PUNCT
iogr-427	143	34	…	…	PUNCT
iogr-427	143	35	…	…	PUNCT
iogr-427	143	36	…	…	PUNCT
iogr-427	143	37	…	…	PUNCT
iogr-427	143	38	…	…	PUNCT
iogr-427	143	39	…	…	PUNCT
iogr-427	143	40	…	…	PUNCT
iogr-427	143	41	…	…	PUNCT
iogr-427	143	42	…	…	PUNCT
iogr-427	143	43	…	…	PUNCT
iogr-427	143	44	…	…	PUNCT
iogr-427	143	45	…	…	PUNCT
iogr-427	143	46	(	(	PUNCT
iogr-427	143	47	13	13	NUM
iogr-427	143	48	)	)	PUNCT
iogr-427	143	49	8	8	NUM
iogr-427	143	50	where	where	SCONJ
iogr-427	143	51	𝑎	𝑎	NOUN
iogr-427	143	52	is	be	AUX
iogr-427	143	53	only	only	ADV
iogr-427	143	54	a	a	DET
iogr-427	143	55	characteristic	characteristic	ADJ
iogr-427	143	56	length	length	NOUN
iogr-427	143	57	for	for	SCONJ
iogr-427	143	58	the	the	DET
iogr-427	143	59	system	system	NOUN
iogr-427	143	60	to	to	PART
iogr-427	143	61	make	make	VERB
iogr-427	143	62	the	the	DET
iogr-427	143	63	unit	unit	NOUN
iogr-427	143	64	consistent	consistent	ADJ
iogr-427	143	65	.	.	PUNCT
iogr-427	144	1	and	and	CCONJ
iogr-427	144	2	𝑆	𝑆	PROPN
iogr-427	144	3	is	be	AUX
iogr-427	144	4	the	the	DET
iogr-427	144	5	set	set	NOUN
iogr-427	144	6	of	of	ADP
iogr-427	144	7	all	all	DET
iogr-427	144	8	the	the	DET
iogr-427	144	9	nodes	node	NOUN
iogr-427	144	10	in	in	ADP
iogr-427	144	11	the	the	DET
iogr-427	144	12	graph	graph	NOUN
iogr-427	144	13	.	.	PUNCT
iogr-427	145	1	writing	write	VERB
iogr-427	145	2	the	the	DET
iogr-427	145	3	ordinary	ordinary	ADJ
iogr-427	145	4	differential	differential	ADJ
iogr-427	145	5	equation	equation	NOUN
iogr-427	145	6	(	(	PUNCT
iogr-427	145	7	ode	ode	PROPN
iogr-427	145	8	)	)	PUNCT
iogr-427	145	9	eq.12	eq.12	NOUN
iogr-427	145	10	into	into	ADP
iogr-427	145	11	the	the	DET
iogr-427	145	12	matrix	matrix	NOUN
iogr-427	145	13	form	form	NOUN
iogr-427	145	14	,	,	PUNCT
iogr-427	145	15	we	we	PRON
iogr-427	145	16	have	have	VERB
iogr-427	145	17	𝑑	𝑑	PROPN
iogr-427	145	18	�	�	PROPN
iogr-427	145	19	⃑	⃑	NOUN
iogr-427	145	20	�	�	PROPN
iogr-427	145	21	(	(	PUNCT
iogr-427	145	22	𝑡	𝑡	PROPN
iogr-427	145	23	)	)	PUNCT
iogr-427	145	24	𝑑𝑡	𝑑𝑡	ADP
iogr-427	145	25	=	=	PROPN
iogr-427	145	26	�	�	PROPN
iogr-427	145	27	⃑	⃑	PROPN
iogr-427	145	28	�	�	PROPN
iogr-427	145	29	(	(	PUNCT
iogr-427	145	30	𝑡)𝐐,	𝑡)𝐐,	X
iogr-427	145	31	…	…	NUM
iogr-427	145	32	…	…	PUNCT
iogr-427	145	33	…	…	PUNCT
iogr-427	145	34	…	…	PUNCT
iogr-427	145	35	…	…	PUNCT
iogr-427	145	36	…	…	PUNCT
iogr-427	145	37	…	…	PUNCT
iogr-427	145	38	…	…	PUNCT
iogr-427	145	39	…	…	PUNCT
iogr-427	145	40	…	…	PUNCT
iogr-427	145	41	…	…	PUNCT
iogr-427	145	42	…	…	PUNCT
iogr-427	145	43	…	…	PUNCT
iogr-427	145	44	…	…	PUNCT
iogr-427	145	45	…	…	PUNCT
iogr-427	145	46	…	…	PUNCT
iogr-427	145	47	…	…	PUNCT
iogr-427	145	48	…	…	PUNCT
iogr-427	145	49	…	…	PUNCT
iogr-427	145	50	…	…	PUNCT
iogr-427	145	51	…	…	PUNCT
iogr-427	145	52	…	…	PUNCT
iogr-427	145	53	…	…	PUNCT
iogr-427	145	54	…	…	PUNCT
iogr-427	145	55	..	..	PUNCT
iogr-427	145	56	…	…	PUNCT
iogr-427	145	57	…	…	PUNCT
iogr-427	145	58	…	…	PUNCT
iogr-427	145	59	…	…	PUNCT
iogr-427	145	60	…	…	PUNCT
iogr-427	145	61	…	…	PUNCT
iogr-427	145	62	…	…	PUNCT
iogr-427	145	63	…	…	PUNCT
iogr-427	145	64	…	…	PUNCT
iogr-427	145	65	.(14	.(14	X
iogr-427	145	66	)	)	PUNCT
iogr-427	145	67	where	where	SCONJ
iogr-427	145	68	�	�	PROPN
iogr-427	145	69	⃑	⃑	PROPN
iogr-427	145	70	�	�	PROPN
iogr-427	145	71	(	(	PUNCT
iogr-427	145	72	𝑡	𝑡	X
iogr-427	145	73	)	)	PUNCT
iogr-427	145	74	is	be	AUX
iogr-427	145	75	a	a	DET
iogr-427	145	76	stochastic	stochastic	ADJ
iogr-427	145	77	vector	vector	NOUN
iogr-427	145	78	,	,	PUNCT
iogr-427	145	79	and	and	CCONJ
iogr-427	145	80	𝐐	𝐐	PROPN
iogr-427	145	81	=	=	SYM
iogr-427	145	82	{	{	PUNCT
iogr-427	145	83	𝑞𝑖𝑗	𝑞𝑖𝑗	NOUN
iogr-427	145	84	}	}	PUNCT
iogr-427	145	85	is	be	AUX
iogr-427	145	86	the	the	DET
iogr-427	145	87	transition	transition	NOUN
iogr-427	145	88	rate	rate	NOUN
iogr-427	145	89	matrix	matrix	NOUN
iogr-427	145	90	.	.	PUNCT
iogr-427	146	1	from	from	ADP
iogr-427	146	2	graph	graph	NOUN
iogr-427	146	3	theory	theory	NOUN
iogr-427	146	4	,	,	PUNCT
iogr-427	146	5	we	we	PRON
iogr-427	146	6	know	know	VERB
iogr-427	146	7	(	(	PUNCT
iogr-427	146	8	wikipedia	wikipedia	PROPN
iogr-427	146	9	2017	2017	NUM
iogr-427	146	10	)	)	PUNCT
iogr-427	146	11	that	that	SCONJ
iogr-427	146	12	for	for	ADP
iogr-427	146	13	a	a	DET
iogr-427	146	14	well	well	ADV
iogr-427	146	15	-	-	PUNCT
iogr-427	146	16	defined	define	VERB
iogr-427	146	17	weighted	weighted	ADJ
iogr-427	146	18	graph	graph	NOUN
iogr-427	146	19	,	,	PUNCT
iogr-427	146	20	each	each	DET
iogr-427	146	21	entry	entry	NOUN
iogr-427	146	22	of	of	ADP
iogr-427	146	23	𝐐	𝐐	PROPN
iogr-427	146	24	is	be	AUX
iogr-427	146	25	the	the	DET
iogr-427	146	26	opposite	opposite	NOUN
iogr-427	146	27	of	of	ADP
iogr-427	146	28	the	the	DET
iogr-427	146	29	corresponding	corresponding	ADJ
iogr-427	146	30	entry	entry	NOUN
iogr-427	146	31	in	in	ADP
iogr-427	146	32	the	the	DET
iogr-427	146	33	graph	graph	NOUN
iogr-427	146	34	’s	’s	PART
iogr-427	146	35	laplacian	laplacian	ADJ
iogr-427	146	36	matrix	matrix	NOUN
iogr-427	146	37	,	,	PUNCT
iogr-427	146	38	which	which	PRON
iogr-427	146	39	can	can	AUX
iogr-427	146	40	be	be	AUX
iogr-427	146	41	readily	readily	ADV
iogr-427	146	42	obtained	obtain	VERB
iogr-427	146	43	.	.	PUNCT
iogr-427	147	1	with	with	ADP
iogr-427	147	2	the	the	DET
iogr-427	147	3	help	help	NOUN
iogr-427	147	4	of	of	ADP
iogr-427	147	5	matrix	matrix	NOUN
iogr-427	147	6	exponential	exponential	NOUN
iogr-427	147	7	,	,	PUNCT
iogr-427	147	8	the	the	DET
iogr-427	147	9	solution	solution	NOUN
iogr-427	147	10	of	of	ADP
iogr-427	147	11	eq.14	eq.14	PROPN
iogr-427	147	12	can	can	AUX
iogr-427	147	13	be	be	AUX
iogr-427	147	14	symbolically	symbolically	ADV
iogr-427	147	15	expressed	express	VERB
iogr-427	147	16	as	as	ADP
iogr-427	147	17	�	�	PROPN
iogr-427	147	18	⃑	⃑	PROPN
iogr-427	147	19	�	�	PROPN
iogr-427	147	20	(	(	PUNCT
iogr-427	147	21	𝑡	𝑡	NOUN
iogr-427	147	22	)	)	PUNCT
iogr-427	147	23	=	=	SYM
iogr-427	147	24	�	�	PROPN
iogr-427	147	25	⃑	⃑	PROPN
iogr-427	147	26	�	�	PROPN
iogr-427	147	27	(	(	PUNCT
iogr-427	147	28	0	0	NUM
iogr-427	147	29	)	)	PUNCT
iogr-427	147	30	exp(𝐐𝑡),	exp(𝐐𝑡),	NOUN
iogr-427	147	31	…	…	SYM
iogr-427	147	32	…	…	PUNCT
iogr-427	147	33	…	…	PUNCT
iogr-427	147	34	…	…	PUNCT
iogr-427	147	35	…	…	PUNCT
iogr-427	147	36	…	…	PUNCT
iogr-427	147	37	…	…	PUNCT
iogr-427	147	38	…	…	PUNCT
iogr-427	147	39	…	…	PUNCT
iogr-427	147	40	…	…	PUNCT
iogr-427	147	41	…	…	PUNCT
iogr-427	147	42	…	…	PUNCT
iogr-427	147	43	…	…	PUNCT
iogr-427	147	44	…	…	PUNCT
iogr-427	147	45	…	…	PUNCT
iogr-427	147	46	…	…	PUNCT
iogr-427	147	47	…	…	PUNCT
iogr-427	147	48	…	…	PUNCT
iogr-427	147	49	…	…	PUNCT
iogr-427	147	50	…	…	PUNCT
iogr-427	147	51	…	…	PUNCT
iogr-427	147	52	…	…	PUNCT
iogr-427	147	53	…	…	PUNCT
iogr-427	147	54	…	…	PUNCT
iogr-427	147	55	…	…	PUNCT
iogr-427	147	56	…	…	PUNCT
iogr-427	147	57	…	…	PUNCT
iogr-427	147	58	…	…	PUNCT
iogr-427	147	59	…	…	PUNCT
iogr-427	147	60	…	…	PUNCT
iogr-427	147	61	..	..	PUNCT
iogr-427	147	62	(15	(15	X
iogr-427	147	63	)	)	PUNCT
iogr-427	148	1	where	where	SCONJ
iogr-427	148	2	�	�	PROPN
iogr-427	148	3	⃑	⃑	PROPN
iogr-427	148	4	�	�	PROPN
iogr-427	148	5	(	(	PUNCT
iogr-427	148	6	0	0	NUM
iogr-427	148	7	)	)	PUNCT
iogr-427	148	8	is	be	AUX
iogr-427	148	9	the	the	DET
iogr-427	148	10	particle	particle	NOUN
iogr-427	148	11	’s	’s	PART
iogr-427	148	12	initial	initial	ADJ
iogr-427	148	13	distribution	distribution	NOUN
iogr-427	148	14	among	among	ADP
iogr-427	148	15	the	the	DET
iogr-427	148	16	nodes	node	NOUN
iogr-427	148	17	.	.	PUNCT
iogr-427	149	1	if	if	SCONJ
iogr-427	149	2	we	we	PRON
iogr-427	149	3	temporarily	temporarily	ADV
iogr-427	149	4	assume	assume	VERB
iogr-427	149	5	that	that	SCONJ
iogr-427	149	6	the	the	DET
iogr-427	149	7	matrix	matrix	NOUN
iogr-427	149	8	exponential	exponential	NOUN
iogr-427	149	9	in	in	ADP
iogr-427	149	10	eq.15	eq.15	PROPN
iogr-427	149	11	can	can	AUX
iogr-427	149	12	be	be	AUX
iogr-427	149	13	successfully	successfully	ADV
iogr-427	149	14	evaluated	evaluate	VERB
iogr-427	149	15	,	,	PUNCT
iogr-427	149	16	we	we	PRON
iogr-427	149	17	can	can	AUX
iogr-427	149	18	obtain	obtain	VERB
iogr-427	149	19	the	the	DET
iogr-427	149	20	probabilities	probability	NOUN
iogr-427	149	21	for	for	ADP
iogr-427	149	22	a	a	DET
iogr-427	149	23	particle	particle	NOUN
iogr-427	149	24	occurring	occur	VERB
iogr-427	149	25	at	at	ADP
iogr-427	149	26	each	each	DET
iogr-427	149	27	node	node	NOUN
iogr-427	149	28	at	at	ADP
iogr-427	149	29	any	any	DET
iogr-427	149	30	time	time	NOUN
iogr-427	149	31	𝑡	𝑡	NOUN
iogr-427	149	32	after	after	SCONJ
iogr-427	149	33	it	it	PRON
iogr-427	149	34	starts	start	VERB
iogr-427	149	35	to	to	PART
iogr-427	149	36	move	move	VERB
iogr-427	149	37	from	from	ADP
iogr-427	149	38	node	node	NOUN
iogr-427	149	39	𝑖.	𝑖.	ADP
iogr-427	149	40	the	the	DET
iogr-427	149	41	initial	initial	ADJ
iogr-427	149	42	stochastic	stochastic	ADJ
iogr-427	149	43	vector	vector	NOUN
iogr-427	149	44	for	for	ADP
iogr-427	149	45	this	this	DET
iogr-427	149	46	case	case	NOUN
iogr-427	149	47	is	be	AUX
iogr-427	149	48	given	give	VERB
iogr-427	149	49	by	by	ADP
iogr-427	149	50	eq.16	eq.16	PROPN
iogr-427	149	51	.	.	PUNCT
iogr-427	150	1	�	�	PROPN
iogr-427	150	2	⃑	⃑	PROPN
iogr-427	150	3	�	�	PROPN
iogr-427	150	4	(	(	PUNCT
iogr-427	150	5	0	0	NUM
iogr-427	150	6	)	)	PUNCT
iogr-427	151	1	=	=	NOUN
iogr-427	152	1	[	[	X
iogr-427	152	2	0	0	NUM
iogr-427	152	3	,	,	PUNCT
iogr-427	152	4	0,⋯	0,⋯	NUM
iogr-427	152	5	,	,	PUNCT
iogr-427	152	6	0	0	NUM
iogr-427	152	7	,	,	PUNCT
iogr-427	152	8	1	1	NUM
iogr-427	152	9	,	,	PUNCT
iogr-427	152	10	0,⋯	0,⋯	NUM
iogr-427	152	11	,	,	PUNCT
iogr-427	152	12	0	0	NUM
iogr-427	152	13	]	]	PUNCT
iogr-427	152	14	,	,	PUNCT
iogr-427	152	15	…	…	PUNCT
iogr-427	152	16	…	…	PUNCT
iogr-427	152	17	…	…	PUNCT
iogr-427	152	18	…	…	PUNCT
iogr-427	152	19	…	…	PUNCT
iogr-427	152	20	…	…	PUNCT
iogr-427	152	21	…	…	PUNCT
iogr-427	152	22	…	…	PUNCT
iogr-427	152	23	…	…	PUNCT
iogr-427	152	24	…	…	PUNCT
iogr-427	152	25	…	…	PUNCT
iogr-427	152	26	…	…	PUNCT
iogr-427	152	27	…	…	PUNCT
iogr-427	152	28	…	…	PUNCT
iogr-427	152	29	…	…	PUNCT
iogr-427	152	30	…	…	PUNCT
iogr-427	152	31	…	…	PUNCT
iogr-427	152	32	…	…	PUNCT
iogr-427	152	33	…	…	SYM
iogr-427	152	34	.	.	NUM
iogr-427	152	35	…	…	PUNCT
iogr-427	152	36	…	…	PUNCT
iogr-427	152	37	..	..	PUNCT
iogr-427	152	38	…	…	PUNCT
iogr-427	152	39	…	…	PUNCT
iogr-427	152	40	…	…	PUNCT
iogr-427	152	41	…	…	PUNCT
iogr-427	152	42	…	…	PUNCT
iogr-427	152	43	…	…	PUNCT
iogr-427	152	44	(16	(16	X
iogr-427	152	45	)	)	PUNCT
iogr-427	152	46	where	where	SCONJ
iogr-427	152	47	1	1	NUM
iogr-427	152	48	is	be	AUX
iogr-427	152	49	the	the	DET
iogr-427	152	50	𝑖th	𝑖th	ADJ
iogr-427	152	51	entry	entry	NOUN
iogr-427	152	52	of	of	ADP
iogr-427	152	53	this	this	DET
iogr-427	152	54	vector	vector	NOUN
iogr-427	152	55	.	.	PUNCT
iogr-427	153	1	these	these	DET
iogr-427	153	2	probabilities	probability	NOUN
iogr-427	153	3	are	be	AUX
iogr-427	153	4	equivalent	equivalent	ADJ
iogr-427	153	5	to	to	ADP
iogr-427	153	6	the	the	DET
iogr-427	153	7	particle	particle	NOUN
iogr-427	153	8	distribution	distribution	NOUN
iogr-427	153	9	at	at	ADP
iogr-427	153	10	time	time	NOUN
iogr-427	153	11	𝑡	𝑡	ADP
iogr-427	153	12	when	when	SCONJ
iogr-427	153	13	massive	massive	ADJ
iogr-427	153	14	particles	particle	NOUN
iogr-427	153	15	all	all	PRON
iogr-427	153	16	start	start	VERB
iogr-427	153	17	from	from	ADP
iogr-427	153	18	𝑖	𝑖	PRON
iogr-427	153	19	to	to	PART
iogr-427	153	20	undertake	undertake	VERB
iogr-427	153	21	the	the	DET
iogr-427	153	22	stochastic	stochastic	ADJ
iogr-427	153	23	process	process	NOUN
iogr-427	153	24	.	.	PUNCT
iogr-427	154	1	on	on	ADP
iogr-427	154	2	the	the	DET
iogr-427	154	3	other	other	ADJ
iogr-427	154	4	hand	hand	NOUN
iogr-427	154	5	,	,	PUNCT
iogr-427	154	6	since	since	SCONJ
iogr-427	154	7	it	it	PRON
iogr-427	154	8	is	be	AUX
iogr-427	154	9	a	a	DET
iogr-427	154	10	geometric	geometric	ADJ
iogr-427	154	11	graph	graph	NOUN
iogr-427	154	12	with	with	ADP
iogr-427	154	13	euclidean	euclidean	ADJ
iogr-427	154	14	coordinates	coordinate	NOUN
iogr-427	154	15	as	as	SCONJ
iogr-427	154	16	node	node	NOUN
iogr-427	154	17	attributes	attribute	VERB
iogr-427	154	18	,	,	PUNCT
iogr-427	154	19	we	we	PRON
iogr-427	154	20	can	can	AUX
iogr-427	154	21	calculate	calculate	VERB
iogr-427	154	22	the	the	DET
iogr-427	154	23	square	square	NOUN
iogr-427	154	24	of	of	ADP
iogr-427	154	25	distance	distance	NOUN
iogr-427	154	26	between	between	ADP
iogr-427	154	27	node	node	PROPN
iogr-427	154	28	𝑖	𝑖	PROPN
iogr-427	154	29	and	and	CCONJ
iogr-427	154	30	all	all	DET
iogr-427	154	31	other	other	ADJ
iogr-427	154	32	nodes	node	NOUN
iogr-427	154	33	to	to	PART
iogr-427	154	34	obtain	obtain	VERB
iogr-427	154	35	a	a	DET
iogr-427	154	36	“	"	PUNCT
iogr-427	154	37	vector	vector	NOUN
iogr-427	154	38	of	of	ADP
iogr-427	154	39	distance	distance	NOUN
iogr-427	154	40	square	square	PROPN
iogr-427	154	41	”	"	PUNCT
iogr-427	154	42	,	,	PUNCT
iogr-427	154	43	𝑣	𝑣	DET
iogr-427	154	44	𝑑𝑠	𝑑𝑠	NOUN
iogr-427	154	45	,	,	PUNCT
iogr-427	154	46	as	as	SCONJ
iogr-427	154	47	shown	show	VERB
iogr-427	154	48	in	in	ADP
iogr-427	154	49	eq.17	eq.17	PROPN
iogr-427	154	50	.	.	PUNCT
iogr-427	155	1	𝑣	𝑣	DET
iogr-427	155	2	𝑑𝑠	𝑑𝑠	NOUN
iogr-427	155	3	=	=	PUNCT
iogr-427	156	1	[	[	X
iogr-427	156	2	𝑑1,𝑖	𝑑1,𝑖	PROPN
iogr-427	156	3	2	2	NUM
iogr-427	156	4	,	,	PUNCT
iogr-427	156	5	𝑑2,𝑖	𝑑2,𝑖	PROPN
iogr-427	156	6	2	2	NUM
iogr-427	156	7	,	,	PUNCT
iogr-427	156	8	⋯	⋯	PROPN
iogr-427	156	9	,	,	PUNCT
iogr-427	156	10	𝑑𝑖−1,𝑖	𝑑𝑖−1,𝑖	NOUN
iogr-427	156	11	2	2	NUM
iogr-427	156	12	,	,	PUNCT
iogr-427	156	13	0	0	NUM
iogr-427	156	14	,	,	PUNCT
iogr-427	156	15	𝑑𝑖+1,𝑖	𝑑𝑖+1,𝑖	PROPN
iogr-427	156	16	2	2	NUM
iogr-427	156	17	,	,	PUNCT
iogr-427	156	18	⋯	⋯	PROPN
iogr-427	156	19	,	,	PUNCT
iogr-427	156	20	𝑑𝑛,𝑖	𝑑𝑛,𝑖	X
iogr-427	156	21	2	2	NUM
iogr-427	156	22	]	]	PUNCT
iogr-427	156	23	,	,	PUNCT
iogr-427	156	24	…	…	PUNCT
iogr-427	156	25	…	…	PUNCT
iogr-427	156	26	…	…	PUNCT
iogr-427	156	27	…	…	PUNCT
iogr-427	156	28	…	…	PUNCT
iogr-427	156	29	…	…	PUNCT
iogr-427	156	30	…	…	PUNCT
iogr-427	156	31	…	…	PUNCT
iogr-427	156	32	…	…	PUNCT
iogr-427	156	33	…	…	PUNCT
iogr-427	156	34	…	…	PUNCT
iogr-427	156	35	…	…	PUNCT
iogr-427	156	36	…	…	PUNCT
iogr-427	156	37	…	…	PUNCT
iogr-427	156	38	…	…	PUNCT
iogr-427	156	39	…	…	PUNCT
iogr-427	156	40	…	…	PUNCT
iogr-427	156	41	…	…	PUNCT
iogr-427	156	42	…	…	PUNCT
iogr-427	156	43	…	…	PUNCT
iogr-427	156	44	…	…	PUNCT
iogr-427	156	45	…	…	PUNCT
iogr-427	156	46	.(17	.(17	X
iogr-427	156	47	)	)	PUNCT
iogr-427	156	48	where	where	SCONJ
iogr-427	156	49	𝑑𝑗,𝑖	𝑑𝑗,𝑖	SCONJ
iogr-427	156	50	is	be	AUX
iogr-427	156	51	the	the	DET
iogr-427	156	52	euclidean	euclidean	ADJ
iogr-427	156	53	distant	distant	NOUN
iogr-427	156	54	between	between	ADP
iogr-427	156	55	node	node	PROPN
iogr-427	156	56	𝑖	𝑖	PROPN
iogr-427	156	57	and	and	CCONJ
iogr-427	156	58	𝑗	𝑗	INTJ
iogr-427	156	59	,	,	PUNCT
iogr-427	156	60	𝑑𝑗,𝑖	𝑑𝑗,𝑖	PUNCT
iogr-427	156	61	=	=	PUNCT
iogr-427	157	1	[	[	X
iogr-427	157	2	(	(	PUNCT
iogr-427	157	3	𝑥𝑖	𝑥𝑖	NUM
iogr-427	157	4	−	−	PROPN
iogr-427	157	5	𝑥𝑗	𝑥𝑗	PROPN
iogr-427	157	6	)	)	PUNCT
iogr-427	157	7	2	2	NUM
iogr-427	158	1	+	+	CCONJ
iogr-427	158	2	(	(	PUNCT
iogr-427	158	3	𝑦𝑖	𝑦𝑖	INTJ
iogr-427	158	4	−	−	PROPN
iogr-427	158	5	𝑦𝑗	𝑦𝑗	NOUN
iogr-427	158	6	)	)	PUNCT
iogr-427	158	7	2	2	NUM
iogr-427	158	8	]	]	SYM
iogr-427	158	9	1	1	NUM
iogr-427	158	10	2⁄	2⁄	NUM
iogr-427	158	11	.	.	PUNCT
iogr-427	159	1	recalling	recall	VERB
iogr-427	159	2	that	that	SCONJ
iogr-427	159	3	our	our	PRON
iogr-427	159	4	main	main	ADJ
iogr-427	159	5	task	task	NOUN
iogr-427	159	6	is	be	AUX
iogr-427	159	7	to	to	PART
iogr-427	159	8	calculate	calculate	VERB
iogr-427	159	9	the	the	DET
iogr-427	159	10	relation	relation	NOUN
iogr-427	159	11	of	of	ADP
iogr-427	159	12	transferred	transfer	VERB
iogr-427	159	13	msd	msd	NOUN
iogr-427	159	14	vs.	vs.	ADP
iogr-427	159	15	𝑡	𝑡	PROPN
iogr-427	159	16	for	for	ADP
iogr-427	159	17	the	the	DET
iogr-427	159	18	formation	formation	NOUN
iogr-427	159	19	embedding	embed	VERB
iogr-427	159	20	fracture	fracture	NOUN
iogr-427	159	21	network	network	NOUN
iogr-427	159	22	(	(	PUNCT
iogr-427	159	23	or	or	CCONJ
iogr-427	159	24	the	the	DET
iogr-427	159	25	euclidean	euclidean	ADJ
iogr-427	159	26	space	space	NOUN
iogr-427	159	27	embedding	embed	VERB
iogr-427	159	28	geometric	geometric	ADJ
iogr-427	159	29	graph	graph	NOUN
iogr-427	159	30	)	)	PUNCT
iogr-427	159	31	,	,	PUNCT
iogr-427	159	32	this	this	DET
iogr-427	159	33	task	task	NOUN
iogr-427	159	34	can	can	AUX
iogr-427	159	35	be	be	AUX
iogr-427	159	36	done	do	VERB
iogr-427	159	37	by	by	ADP
iogr-427	159	38	taking	take	VERB
iogr-427	159	39	the	the	DET
iogr-427	159	40	dot	dot	NOUN
iogr-427	159	41	product	product	NOUN
iogr-427	159	42	between	between	ADP
iogr-427	159	43	�	�	PROPN
iogr-427	159	44	⃑	⃑	PROPN
iogr-427	159	45	�	�	PROPN
iogr-427	159	46	(	(	PUNCT
iogr-427	159	47	𝑡	𝑡	PROPN
iogr-427	159	48	)	)	PUNCT
iogr-427	159	49	and	and	CCONJ
iogr-427	159	50	𝑣	𝑣	PRON
iogr-427	159	51	𝑑𝑠	𝑑𝑠	NOUN
iogr-427	159	52	as	as	SCONJ
iogr-427	159	53	shown	show	VERB
iogr-427	159	54	in	in	ADP
iogr-427	159	55	eq.18	eq.18	PROPN
iogr-427	159	56	.	.	PUNCT
iogr-427	160	1	〈	〈	NOUN
iogr-427	160	2	𝑟2〉(𝑡	𝑟2〉(𝑡	X
iogr-427	160	3	)	)	PUNCT
iogr-427	160	4	=	=	SYM
iogr-427	160	5	�	�	PROPN
iogr-427	160	6	⃑	⃑	PROPN
iogr-427	160	7	�	�	PROPN
iogr-427	160	8	(	(	PUNCT
iogr-427	160	9	𝑡	𝑡	X
iogr-427	160	10	)	)	PUNCT
iogr-427	160	11	∙	∙	PROPN
iogr-427	160	12	𝑣	𝑣	ADP
iogr-427	160	13	𝑑𝑠	𝑑𝑠	PROPN
iogr-427	160	14	..	..	PUNCT
iogr-427	160	15	…	…	PUNCT
iogr-427	160	16	…	…	PUNCT
iogr-427	160	17	…	…	PUNCT
iogr-427	160	18	…	…	PUNCT
iogr-427	160	19	…	…	PUNCT
iogr-427	160	20	…	…	PUNCT
iogr-427	160	21	…	…	PUNCT
iogr-427	160	22	…	…	PUNCT
iogr-427	160	23	..	..	PUNCT
iogr-427	160	24	…	…	PUNCT
iogr-427	160	25	…	…	PUNCT
iogr-427	160	26	…	…	PUNCT
iogr-427	160	27	…	…	PUNCT
iogr-427	160	28	…	…	PUNCT
iogr-427	160	29	…	…	PUNCT
iogr-427	160	30	…	…	PUNCT
iogr-427	160	31	…	…	PUNCT
iogr-427	160	32	…	…	PUNCT
iogr-427	160	33	…	…	PUNCT
iogr-427	160	34	…	…	PUNCT
iogr-427	160	35	…	…	PUNCT
iogr-427	160	36	…	…	PUNCT
iogr-427	160	37	…	…	PUNCT
iogr-427	160	38	…	…	PUNCT
iogr-427	160	39	…	…	PUNCT
iogr-427	160	40	…	…	SYM
iogr-427	160	41	.	.	NUM
iogr-427	160	42	…	…	PUNCT
iogr-427	160	43	…	…	PUNCT
iogr-427	160	44	…	…	PUNCT
iogr-427	160	45	…	…	PUNCT
iogr-427	160	46	…	…	PUNCT
iogr-427	160	47	(18	(18	X
iogr-427	160	48	)	)	PUNCT
iogr-427	160	49	theoretically	theoretically	ADV
iogr-427	160	50	,	,	PUNCT
iogr-427	160	51	we	we	PRON
iogr-427	160	52	have	have	AUX
iogr-427	160	53	provided	provide	VERB
iogr-427	160	54	the	the	DET
iogr-427	160	55	solution	solution	NOUN
iogr-427	160	56	to	to	ADP
iogr-427	160	57	our	our	PRON
iogr-427	160	58	problem	problem	NOUN
iogr-427	160	59	,	,	PUNCT
iogr-427	160	60	but	but	CCONJ
iogr-427	160	61	in	in	ADP
iogr-427	160	62	practice	practice	NOUN
iogr-427	160	63	the	the	DET
iogr-427	160	64	stable	stable	ADJ
iogr-427	160	65	evaluation	evaluation	NOUN
iogr-427	160	66	of	of	ADP
iogr-427	160	67	the	the	DET
iogr-427	160	68	matrix	matrix	NOUN
iogr-427	160	69	exponential	exponential	NOUN
iogr-427	160	70	is	be	AUX
iogr-427	160	71	problematic	problematic	ADJ
iogr-427	160	72	.	.	PUNCT
iogr-427	161	1	since	since	SCONJ
iogr-427	161	2	usually	usually	ADV
iogr-427	161	3	the	the	DET
iogr-427	161	4	longest	long	ADJ
iogr-427	161	5	fractures	fracture	NOUN
iogr-427	161	6	(	(	PUNCT
iogr-427	161	7	~102	~102	X
iogr-427	161	8	ft	ft	X
iogr-427	161	9	)	)	PUNCT
iogr-427	161	10	are	be	AUX
iogr-427	161	11	several	several	ADJ
iogr-427	161	12	orders	order	NOUN
iogr-427	161	13	of	of	ADP
iogr-427	161	14	magnitude	magnitude	NOUN
iogr-427	161	15	longer	long	ADV
iogr-427	161	16	than	than	ADP
iogr-427	161	17	the	the	DET
iogr-427	161	18	shortest	short	ADJ
iogr-427	161	19	ones	one	NOUN
iogr-427	161	20	(	(	PUNCT
iogr-427	161	21	~10	~10	NOUN
iogr-427	161	22	-	-	PUNCT
iogr-427	161	23	3	3	NUM
iogr-427	161	24	ft	ft	NOUN
iogr-427	161	25	)	)	PUNCT
iogr-427	161	26	,	,	PUNCT
iogr-427	161	27	the	the	DET
iogr-427	161	28	value	value	NOUN
iogr-427	161	29	range	range	NOUN
iogr-427	161	30	of	of	ADP
iogr-427	161	31	the	the	DET
iogr-427	161	32	non	non	ADJ
iogr-427	161	33	-	-	ADJ
iogr-427	161	34	zero	zero	NUM
iogr-427	161	35	entries	entry	NOUN
iogr-427	161	36	in	in	ADP
iogr-427	161	37	the	the	DET
iogr-427	161	38	matrix	matrix	NOUN
iogr-427	161	39	𝐐	𝐐	NOUN
iogr-427	161	40	is	be	AUX
iogr-427	161	41	quite	quite	ADV
iogr-427	161	42	large	large	ADJ
iogr-427	161	43	,	,	PUNCT
iogr-427	161	44	which	which	PRON
iogr-427	161	45	makes	make	VERB
iogr-427	161	46	𝐐	𝐐	PROPN
iogr-427	161	47	a	a	DET
iogr-427	161	48	very	very	ADV
iogr-427	161	49	stiff	stiff	ADJ
iogr-427	161	50	matrix	matrix	NOUN
iogr-427	161	51	.	.	PUNCT
iogr-427	162	1	some	some	DET
iogr-427	162	2	common	common	ADJ
iogr-427	162	3	methods	method	NOUN
iogr-427	162	4	(	(	PUNCT
iogr-427	162	5	padé	padé	NOUN
iogr-427	162	6	approximation	approximation	NOUN
iogr-427	162	7	,	,	PUNCT
iogr-427	162	8	krylov	krylov	NOUN
iogr-427	162	9	space	space	NOUN
iogr-427	162	10	methods	method	NOUN
iogr-427	162	11	(	(	PUNCT
iogr-427	162	12	moler	moler	NOUN
iogr-427	162	13	and	and	CCONJ
iogr-427	162	14	van	van	PROPN
iogr-427	162	15	loan	loan	NOUN
iogr-427	162	16	2003	2003	NUM
iogr-427	162	17	)	)	PUNCT
iogr-427	162	18	)	)	PUNCT
iogr-427	162	19	and	and	CCONJ
iogr-427	162	20	packages	package	NOUN
iogr-427	162	21	(	(	PUNCT
iogr-427	162	22	expokit	expokit	X
iogr-427	162	23	(	(	PUNCT
iogr-427	162	24	sidje	sidje	NOUN
iogr-427	162	25	1998	1998	NUM
iogr-427	162	26	)	)	PUNCT
iogr-427	162	27	,	,	PUNCT
iogr-427	162	28	matrixexp	matrixexp	NOUN
iogr-427	162	29	in	in	ADP
iogr-427	162	30	mathematica	mathematica	PROPN
iogr-427	162	31	(	(	PUNCT
iogr-427	162	32	wolfram	wolfram	PROPN
iogr-427	162	33	research	research	PROPN
iogr-427	162	34	,	,	PUNCT
iogr-427	162	35	inc	inc	PROPN
iogr-427	162	36	.	.	PROPN
iogr-427	162	37	2017	2017	NUM
iogr-427	162	38	)	)	PUNCT
iogr-427	162	39	)	)	PUNCT
iogr-427	162	40	for	for	ADP
iogr-427	162	41	evaluating	evaluate	VERB
iogr-427	162	42	matrix	matrix	NOUN
iogr-427	162	43	exponential	exponential	NOUN
iogr-427	162	44	do	do	AUX
iogr-427	162	45	not	not	PART
iogr-427	162	46	work	work	VERB
iogr-427	162	47	very	very	ADV
iogr-427	162	48	well	well	ADV
iogr-427	162	49	for	for	ADP
iogr-427	162	50	the	the	DET
iogr-427	162	51	cases	case	NOUN
iogr-427	162	52	encountered	encounter	VERB
iogr-427	162	53	in	in	ADP
iogr-427	162	54	this	this	DET
iogr-427	162	55	paper	paper	NOUN
iogr-427	162	56	.	.	PUNCT
iogr-427	163	1	so	so	ADV
iogr-427	163	2	,	,	PUNCT
iogr-427	163	3	we	we	PRON
iogr-427	163	4	had	have	VERB
iogr-427	163	5	to	to	PART
iogr-427	163	6	resort	resort	VERB
iogr-427	163	7	to	to	ADP
iogr-427	163	8	numerical	numerical	ADJ
iogr-427	163	9	methods	method	NOUN
iogr-427	163	10	solving	solve	VERB
iogr-427	163	11	the	the	DET
iogr-427	163	12	ode	ode	ADJ
iogr-427	163	13	eq.14	eq.14	NOUN
iogr-427	163	14	directly	directly	ADV
iogr-427	163	15	(	(	PUNCT
iogr-427	163	16	basically	basically	ADV
iogr-427	163	17	any	any	DET
iogr-427	163	18	“	"	PUNCT
iogr-427	163	19	stiff	stiff	ADJ
iogr-427	163	20	”	"	PUNCT
iogr-427	163	21	ode	ode	PROPN
iogr-427	163	22	solver	solver	NOUN
iogr-427	163	23	can	can	AUX
iogr-427	163	24	be	be	AUX
iogr-427	163	25	used	use	VERB
iogr-427	163	26	)	)	PUNCT
iogr-427	163	27	.	.	PUNCT
iogr-427	164	1	we	we	PRON
iogr-427	164	2	have	have	AUX
iogr-427	164	3	used	use	VERB
iogr-427	164	4	mathematica	mathematica	PROPN
iogr-427	164	5	’s	’s	PART
iogr-427	164	6	ndsolve	ndsolve	PROPN
iogr-427	164	7	function	function	PROPN
iogr-427	164	8	(	(	PUNCT
iogr-427	164	9	wolfram	wolfram	PROPN
iogr-427	164	10	research	research	PROPN
iogr-427	164	11	,	,	PUNCT
iogr-427	164	12	inc	inc	PROPN
iogr-427	164	13	.	.	PROPN
iogr-427	164	14	2017	2017	NUM
iogr-427	164	15	)	)	PUNCT
iogr-427	164	16	,	,	PUNCT
iogr-427	164	17	which	which	PRON
iogr-427	164	18	integrates	integrate	VERB
iogr-427	164	19	many	many	ADJ
iogr-427	164	20	“	"	PUNCT
iogr-427	164	21	stiff	stiff	ADJ
iogr-427	164	22	”	"	PUNCT
iogr-427	164	23	ode	ode	ADJ
iogr-427	164	24	solvers	solver	NOUN
iogr-427	164	25	into	into	ADP
iogr-427	164	26	its	its	PRON
iogr-427	164	27	options	option	NOUN
iogr-427	164	28	,	,	PUNCT
iogr-427	164	29	to	to	PART
iogr-427	164	30	solve	solve	VERB
iogr-427	164	31	eq.14	eq.14	NOUN
iogr-427	164	32	numerically	numerically	ADV
iogr-427	164	33	for	for	ADP
iogr-427	164	34	getting	get	VERB
iogr-427	164	35	�	�	PROPN
iogr-427	164	36	⃑	⃑	NOUN
iogr-427	164	37	�	�	PROPN
iogr-427	164	38	(	(	PUNCT
iogr-427	164	39	𝑡	𝑡	NOUN
iogr-427	164	40	)	)	PUNCT
iogr-427	164	41	.	.	PUNCT
iogr-427	165	1	besides	besides	SCONJ
iogr-427	165	2	the	the	DET
iogr-427	165	3	last	last	ADJ
iogr-427	165	4	step	step	NOUN
iogr-427	165	5	of	of	ADP
iogr-427	165	6	solving	solve	VERB
iogr-427	165	7	ode	ode	ADJ
iogr-427	165	8	,	,	PUNCT
iogr-427	165	9	some	some	DET
iogr-427	165	10	other	other	ADJ
iogr-427	165	11	packages	package	NOUN
iogr-427	165	12	and	and	CCONJ
iogr-427	165	13	algorithms	algorithm	NOUN
iogr-427	165	14	have	have	AUX
iogr-427	165	15	been	be	AUX
iogr-427	165	16	used	use	VERB
iogr-427	165	17	to	to	PART
iogr-427	165	18	do	do	VERB
iogr-427	165	19	some	some	DET
iogr-427	165	20	pre	pre	ADJ
iogr-427	165	21	-	-	ADJ
iogr-427	165	22	processing	processing	ADJ
iogr-427	165	23	work	work	NOUN
iogr-427	165	24	.	.	PUNCT
iogr-427	166	1	the	the	DET
iogr-427	166	2	2	2	NUM
iogr-427	166	3	-	-	PUNCT
iogr-427	166	4	d	d	NOUN
iogr-427	166	5	discrete	discrete	ADJ
iogr-427	166	6	fracture	fracture	NOUN
iogr-427	166	7	network	network	NOUN
iogr-427	166	8	(	(	PUNCT
iogr-427	166	9	dfn	dfn	PROPN
iogr-427	166	10	)	)	PUNCT
iogr-427	166	11	is	be	AUX
iogr-427	166	12	created	create	VERB
iogr-427	166	13	using	use	VERB
iogr-427	166	14	the	the	DET
iogr-427	166	15	fracgen	fracgen	NOUN
iogr-427	166	16	;	;	PUNCT
iogr-427	166	17	the	the	DET
iogr-427	166	18	dfn	dfn	NOUN
iogr-427	166	19	is	be	AUX
iogr-427	166	20	processed	process	VERB
iogr-427	166	21	by	by	ADP
iogr-427	166	22	a	a	DET
iogr-427	166	23	modified	modify	VERB
iogr-427	166	24	python	python	NOUN
iogr-427	166	25	package	package	NOUN
iogr-427	166	26	(	(	PUNCT
iogr-427	166	27	splichte	splichte	NOUN
iogr-427	166	28	2013	2013	NUM
iogr-427	166	29	)	)	PUNCT
iogr-427	166	30	based	base	VERB
iogr-427	166	31	on	on	ADP
iogr-427	166	32	the	the	DET
iogr-427	166	33	bentley	bentley	PROPN
iogr-427	166	34	-	-	PUNCT
iogr-427	166	35	ottmann	ottmann	PROPN
iogr-427	166	36	algorithm	algorithm	NOUN
iogr-427	166	37	;	;	PUNCT
iogr-427	166	38	the	the	DET
iogr-427	166	39	graph	graph	NOUN
iogr-427	166	40	object	object	NOUN
iogr-427	166	41	is	be	AUX
iogr-427	166	42	readily	readily	ADV
iogr-427	166	43	created	create	VERB
iogr-427	166	44	using	use	VERB
iogr-427	166	45	a	a	DET
iogr-427	166	46	python	python	NOUN
iogr-427	166	47	package	package	NOUN
iogr-427	166	48	,	,	PUNCT
iogr-427	166	49	networkx	networkx	NOUN
iogr-427	166	50	(	(	PUNCT
iogr-427	166	51	hagberg	hagberg	PROPN
iogr-427	166	52	et	et	PROPN
iogr-427	166	53	al	al	PROPN
iogr-427	166	54	.	.	PROPN
iogr-427	166	55	2008	2008	NUM
iogr-427	166	56	)	)	PUNCT
iogr-427	166	57	.	.	PUNCT
iogr-427	167	1	simulation	simulation	NOUN
iogr-427	167	2	results	result	NOUN
iogr-427	167	3	using	use	VERB
iogr-427	167	4	the	the	DET
iogr-427	167	5	described	describe	VERB
iogr-427	167	6	model	model	NOUN
iogr-427	167	7	in	in	ADP
iogr-427	167	8	the	the	DET
iogr-427	167	9	last	last	ADJ
iogr-427	167	10	section	section	NOUN
iogr-427	167	11	,	,	PUNCT
iogr-427	167	12	we	we	PRON
iogr-427	167	13	conduct	conduct	VERB
iogr-427	167	14	the	the	DET
iogr-427	167	15	simulation	simulation	NOUN
iogr-427	167	16	to	to	ADP
iogr-427	167	17	the	the	DET
iogr-427	167	18	flow	flow	NOUN
iogr-427	167	19	in	in	ADP
iogr-427	167	20	the	the	DET
iogr-427	167	21	fracture	fracture	NOUN
iogr-427	167	22	networks	network	NOUN
iogr-427	167	23	with	with	ADP
iogr-427	167	24	different	different	ADJ
iogr-427	167	25	scenarios	scenario	NOUN
iogr-427	167	26	(	(	PUNCT
iogr-427	167	27	table	table	NOUN
iogr-427	167	28	1	1	NUM
iogr-427	167	29	):	):	PUNCT
iogr-427	167	30	case	case	NOUN
iogr-427	167	31	0	0	NUM
iogr-427	167	32	:	:	PUNCT
iogr-427	167	33	uses	use	VERB
iogr-427	167	34	the	the	DET
iogr-427	167	35	regular	regular	ADJ
iogr-427	167	36	meshes	mesh	NOUN
iogr-427	167	37	with	with	ADP
iogr-427	167	38	uniform	uniform	ADJ
iogr-427	167	39	grid	grid	NOUN
iogr-427	167	40	size	size	NOUN
iogr-427	167	41	in	in	ADP
iogr-427	167	42	both	both	CCONJ
iogr-427	167	43	𝑥	𝑥	PROPN
iogr-427	167	44	and	and	CCONJ
iogr-427	167	45	𝑦	𝑦	NOUN
iogr-427	167	46	axis	axis	NOUN
iogr-427	167	47	;	;	PUNCT
iogr-427	167	48	case	case	NOUN
iogr-427	167	49	1	1	NUM
iogr-427	167	50	:	:	PUNCT
iogr-427	167	51	uses	use	VERB
iogr-427	167	52	the	the	DET
iogr-427	167	53	fracture	fracture	PROPN
iogr-427	167	54	network	network	NOUN
iogr-427	167	55	with	with	ADP
iogr-427	167	56	two	two	NUM
iogr-427	167	57	orthogonal	orthogonal	ADJ
iogr-427	167	58	sets	set	NOUN
iogr-427	167	59	which	which	PRON
iogr-427	167	60	are	be	AUX
iogr-427	167	61	randomly	randomly	ADV
iogr-427	167	62	generated	generate	VERB
iogr-427	167	63	by	by	ADP
iogr-427	167	64	fracgen	fracgen	NOUN
iogr-427	167	65	;	;	PUNCT
iogr-427	167	66	case	case	NOUN
iogr-427	167	67	2	2	NUM
iogr-427	167	68	:	:	PUNCT
iogr-427	167	69	also	also	ADV
iogr-427	167	70	uses	use	VERB
iogr-427	167	71	the	the	DET
iogr-427	167	72	fracture	fracture	NOUN
iogr-427	167	73	network	network	NOUN
iogr-427	167	74	with	with	ADP
iogr-427	167	75	two	two	NUM
iogr-427	167	76	orthogonal	orthogonal	ADJ
iogr-427	167	77	sets	set	NOUN
iogr-427	167	78	,	,	PUNCT
iogr-427	167	79	but	but	CCONJ
iogr-427	167	80	the	the	DET
iogr-427	167	81	overall	overall	ADJ
iogr-427	167	82	network	network	NOUN
iogr-427	167	83	rotates	rotate	VERB
iogr-427	167	84	45	45	NUM
iogr-427	167	85	°	°	NOUN
iogr-427	167	86	;	;	PUNCT
iogr-427	167	87	9	9	NUM
iogr-427	167	88	case	case	NOUN
iogr-427	167	89	3	3	NUM
iogr-427	167	90	:	:	PUNCT
iogr-427	167	91	uses	use	VERB
iogr-427	167	92	the	the	DET
iogr-427	167	93	fracture	fracture	PROPN
iogr-427	167	94	network	network	NOUN
iogr-427	167	95	with	with	ADP
iogr-427	167	96	two	two	NUM
iogr-427	167	97	sets	set	NOUN
iogr-427	167	98	having	have	VERB
iogr-427	167	99	40	40	NUM
iogr-427	167	100	°	°	NOUN
iogr-427	167	101	between	between	ADP
iogr-427	167	102	them	they	PRON
iogr-427	167	103	,	,	PUNCT
iogr-427	167	104	and	and	CCONJ
iogr-427	167	105	all	all	DET
iogr-427	167	106	the	the	DET
iogr-427	167	107	upper	upper	ADJ
iogr-427	167	108	domain	domain	NOUN
iogr-427	167	109	;	;	PUNCT
iogr-427	167	110	case	case	NOUN
iogr-427	167	111	4	4	NUM
iogr-427	167	112	:	:	PUNCT
iogr-427	167	113	uses	use	VERB
iogr-427	167	114	a	a	DET
iogr-427	167	115	very	very	ADV
iogr-427	167	116	complex	complex	ADJ
iogr-427	167	117	fracture	fracture	NOUN
iogr-427	167	118	network	network	NOUN
iogr-427	167	119	,	,	PUNCT
iogr-427	167	120	which	which	PRON
iogr-427	167	121	has	have	VERB
iogr-427	167	122	4	4	NUM
iogr-427	167	123	sets	set	NOUN
iogr-427	167	124	of	of	ADP
iogr-427	167	125	fractures	fracture	NOUN
iogr-427	167	126	and	and	CCONJ
iogr-427	167	127	is	be	AUX
iogr-427	167	128	the	the	DET
iogr-427	167	129	sample	sample	NOUN
iogr-427	167	130	,	,	PUNCT
iogr-427	167	131	“	"	PUNCT
iogr-427	167	132	mwx4f	mwx4f	PROPN
iogr-427	167	133	”	"	PUNCT
iogr-427	167	134	,	,	PUNCT
iogr-427	167	135	in	in	ADP
iogr-427	167	136	fracgen	fracgen	PROPN
iogr-427	167	137	.	.	PUNCT
iogr-427	167	138	table	table	NOUN
iogr-427	167	139	1	1	NUM
iogr-427	167	140	—	—	PUNCT
iogr-427	167	141	statistics	statistic	NOUN
iogr-427	167	142	for	for	ADP
iogr-427	167	143	the	the	DET
iogr-427	167	144	fracture	fracture	PROPN
iogr-427	167	145	network	network	NOUN
iogr-427	167	146	in	in	ADP
iogr-427	167	147	various	various	ADJ
iogr-427	167	148	cases	case	NOUN
iogr-427	167	149	.	.	PUNCT
iogr-427	168	1	case	case	NOUN
iogr-427	168	2	name	name	NOUN
iogr-427	168	3	max	max	PROPN
iogr-427	168	4	(	(	PUNCT
iogr-427	168	5	ft	ft	PROPN
iogr-427	168	6	)	)	PUNCT
iogr-427	168	7	min	min	NOUN
iogr-427	168	8	(	(	PUNCT
iogr-427	168	9	ft	ft	NOUN
iogr-427	168	10	)	)	PUNCT
iogr-427	168	11	mean	mean	NOUN
iogr-427	168	12	(	(	PUNCT
iogr-427	168	13	ft	ft	NOUN
iogr-427	168	14	)	)	PUNCT
iogr-427	168	15	median	median	NOUN
iogr-427	168	16	(	(	PUNCT
iogr-427	168	17	ft	ft	NOUN
iogr-427	168	18	)	)	PUNCT
iogr-427	168	19	number	number	NOUN
iogr-427	168	20	of	of	ADP
iogr-427	168	21	fractures	fracture	NOUN
iogr-427	168	22	number	number	NOUN
iogr-427	168	23	of	of	ADP
iogr-427	168	24	nodes	node	NOUN
iogr-427	168	25	case	case	NOUN
iogr-427	168	26	0	0	NUM
iogr-427	168	27	10	10	NUM
iogr-427	168	28	10	10	NUM
iogr-427	168	29	10	10	NUM
iogr-427	168	30	10	10	NUM
iogr-427	168	31	2525	2525	NUM
iogr-427	168	32	1285	1285	NUM
iogr-427	168	33	case	case	NOUN
iogr-427	168	34	1	1	NUM
iogr-427	168	35	92.4	92.4	NUM
iogr-427	168	36	1.70e-03	1.70e-03	NUM
iogr-427	168	37	11	11	NUM
iogr-427	168	38	7.6	7.6	NUM
iogr-427	168	39	1969	1969	NUM
iogr-427	168	40	1753	1753	NUM
iogr-427	168	41	case	case	NOUN
iogr-427	168	42	2	2	NUM
iogr-427	168	43	83.8	83.8	NUM
iogr-427	168	44	1.00e-03	1.00e-03	NUM
iogr-427	168	45	10.5	10.5	NUM
iogr-427	168	46	7.5	7.5	NUM
iogr-427	168	47	1940	1940	NUM
iogr-427	168	48	1690	1690	NUM
iogr-427	168	49	case	case	NOUN
iogr-427	168	50	3	3	NUM
iogr-427	168	51	123.7	123.7	NUM
iogr-427	168	52	1.00e-03	1.00e-03	NUM
iogr-427	168	53	13.1	13.1	NUM
iogr-427	168	54	8.5	8.5	NUM
iogr-427	168	55	753	753	NUM
iogr-427	168	56	698	698	NUM
iogr-427	168	57	case	case	NOUN
iogr-427	168	58	4	4	NUM
iogr-427	168	59	81.6	81.6	NUM
iogr-427	168	60	1.00e-03	1.00e-03	NUM
iogr-427	168	61	10	10	NUM
iogr-427	168	62	5.9	5.9	NUM
iogr-427	168	63	2572	2572	NUM
iogr-427	168	64	2214	2214	NUM
iogr-427	168	65	the	the	DET
iogr-427	168	66	domain	domain	NOUN
iogr-427	168	67	of	of	ADP
iogr-427	168	68	the	the	DET
iogr-427	168	69	first	first	ADJ
iogr-427	168	70	4	4	NUM
iogr-427	168	71	cases	case	NOUN
iogr-427	168	72	all	all	PRON
iogr-427	168	73	have	have	VERB
iogr-427	168	74	the	the	DET
iogr-427	168	75	dimensions	dimension	NOUN
iogr-427	168	76	of	of	ADP
iogr-427	168	77	500	500	NUM
iogr-427	168	78	ft	ft	NOUN
iogr-427	168	79	×250	×250	NOUN
iogr-427	168	80	ft	ft	ADP
iogr-427	168	81	coming	come	VERB
iogr-427	168	82	from	from	ADP
iogr-427	168	83	the	the	DET
iogr-427	168	84	well	well	NOUN
iogr-427	168	85	spacing	space	VERB
iogr-427	168	86	1000	1000	NUM
iogr-427	168	87	ft	ft	NOUN
iogr-427	168	88	and	and	CCONJ
iogr-427	168	89	fracture	fracture	NOUN
iogr-427	168	90	spacing	space	VERB
iogr-427	168	91	500	500	NUM
iogr-427	168	92	ft	ft	NOUN
iogr-427	168	93	.	.	PROPN
iogr-427	168	94	and	and	CCONJ
iogr-427	168	95	all	all	DET
iogr-427	168	96	cases	case	NOUN
iogr-427	168	97	have	have	VERB
iogr-427	168	98	a	a	DET
iogr-427	168	99	hydraulic	hydraulic	ADJ
iogr-427	168	100	fracture	fracture	ADJ
iogr-427	168	101	half	half	ADJ
iogr-427	168	102	-	-	PUNCT
iogr-427	168	103	length	length	NOUN
iogr-427	168	104	of	of	ADP
iogr-427	168	105	400	400	NUM
iogr-427	168	106	ft	ft	NOUN
iogr-427	168	107	(	(	PUNCT
iogr-427	168	108	𝐼𝑥	𝐼𝑥	PROPN
iogr-427	168	109	=	=	PROPN
iogr-427	168	110	0.8	0.8	NUM
iogr-427	168	111	)	)	PUNCT
iogr-427	168	112	which	which	PRON
iogr-427	168	113	is	be	AUX
iogr-427	168	114	represented	represent	VERB
iogr-427	168	115	by	by	ADP
iogr-427	168	116	the	the	DET
iogr-427	168	117	blue	blue	ADJ
iogr-427	168	118	line	line	NOUN
iogr-427	168	119	on	on	ADP
iogr-427	168	120	the	the	DET
iogr-427	168	121	boundary	boundary	NOUN
iogr-427	168	122	.	.	PUNCT
iogr-427	169	1	since	since	SCONJ
iogr-427	169	2	each	each	DET
iogr-427	169	3	case	case	NOUN
iogr-427	169	4	contains	contain	VERB
iogr-427	169	5	hundreds	hundred	NOUN
iogr-427	169	6	and	and	CCONJ
iogr-427	169	7	even	even	ADV
iogr-427	169	8	thousands	thousand	NOUN
iogr-427	169	9	of	of	ADP
iogr-427	169	10	nodes	node	NOUN
iogr-427	169	11	,	,	PUNCT
iogr-427	169	12	the	the	DET
iogr-427	169	13	comprehensive	comprehensive	ADJ
iogr-427	169	14	investigation	investigation	NOUN
iogr-427	169	15	is	be	AUX
iogr-427	169	16	impossible	impossible	ADJ
iogr-427	169	17	without	without	ADP
iogr-427	169	18	the	the	DET
iogr-427	169	19	help	help	NOUN
iogr-427	169	20	of	of	ADP
iogr-427	169	21	some	some	DET
iogr-427	169	22	statistical	statistical	ADJ
iogr-427	169	23	methods	method	NOUN
iogr-427	169	24	,	,	PUNCT
iogr-427	169	25	which	which	PRON
iogr-427	169	26	is	be	AUX
iogr-427	169	27	out	out	ADP
iogr-427	169	28	of	of	ADP
iogr-427	169	29	the	the	DET
iogr-427	169	30	scope	scope	NOUN
iogr-427	169	31	of	of	ADP
iogr-427	169	32	this	this	DET
iogr-427	169	33	paper	paper	NOUN
iogr-427	169	34	.	.	PUNCT
iogr-427	170	1	so	so	ADV
iogr-427	170	2	,	,	PUNCT
iogr-427	170	3	we	we	PRON
iogr-427	170	4	only	only	ADV
iogr-427	170	5	select	select	VERB
iogr-427	170	6	10	10	NUM
iogr-427	170	7	nodes	node	NOUN
iogr-427	170	8	randomly	randomly	ADV
iogr-427	170	9	in	in	ADP
iogr-427	170	10	each	each	DET
iogr-427	170	11	case	case	NOUN
iogr-427	170	12	to	to	PART
iogr-427	170	13	do	do	VERB
iogr-427	170	14	the	the	DET
iogr-427	170	15	simulation	simulation	NOUN
iogr-427	170	16	on	on	ADP
iogr-427	170	17	them	they	PRON
iogr-427	170	18	and	and	CCONJ
iogr-427	170	19	to	to	PART
iogr-427	170	20	show	show	VERB
iogr-427	170	21	the	the	DET
iogr-427	170	22	relation	relation	NOUN
iogr-427	170	23	of	of	ADP
iogr-427	170	24	msd	msd	NOUN
iogr-427	170	25	versus	versus	ADP
iogr-427	170	26	𝑡.	𝑡.	VERB
iogr-427	170	27	the	the	DET
iogr-427	170	28	plots	plot	NOUN
iogr-427	170	29	and	and	CCONJ
iogr-427	170	30	parameters	parameter	NOUN
iogr-427	170	31	of	of	ADP
iogr-427	170	32	the	the	DET
iogr-427	170	33	fracture	fracture	NOUN
iogr-427	170	34	networks	network	NOUN
iogr-427	170	35	,	,	PUNCT
iogr-427	170	36	and	and	CCONJ
iogr-427	170	37	the	the	DET
iogr-427	170	38	results	result	NOUN
iogr-427	170	39	are	be	AUX
iogr-427	170	40	shown	show	VERB
iogr-427	170	41	below	below	ADP
iogr-427	170	42	.	.	PUNCT
iogr-427	171	1	case	case	NOUN
iogr-427	171	2	0	0	NUM
iogr-427	171	3	.	.	PUNCT
iogr-427	172	1	figure	figure	NOUN
iogr-427	172	2	4	4	NUM
iogr-427	172	3	—	—	PUNCT
iogr-427	172	4	map	map	NOUN
iogr-427	172	5	view	view	NOUN
iogr-427	172	6	plot	plot	NOUN
iogr-427	172	7	of	of	ADP
iogr-427	172	8	the	the	DET
iogr-427	172	9	fracture	fracture	NOUN
iogr-427	172	10	network	network	NOUN
iogr-427	172	11	and	and	CCONJ
iogr-427	172	12	10	10	NUM
iogr-427	172	13	sampled	sample	VERB
iogr-427	172	14	nodes	node	NOUN
iogr-427	172	15	in	in	ADP
iogr-427	172	16	case	case	NOUN
iogr-427	172	17	0	0	NUM
iogr-427	172	18	.	.	X
iogr-427	172	19	10	10	NUM
iogr-427	172	20	node	node	NOUN
iogr-427	172	21	34	34	NUM
iogr-427	172	22	node	node	NOUN
iogr-427	172	23	141	141	NUM
iogr-427	172	24	node	node	NOUN
iogr-427	172	25	155	155	NUM
iogr-427	172	26	node	node	NOUN
iogr-427	172	27	181	181	NUM
iogr-427	172	28	node	node	NOUN
iogr-427	172	29	440	440	NUM
iogr-427	172	30	node	node	ADJ
iogr-427	172	31	839	839	NUM
iogr-427	172	32	node	node	VERB
iogr-427	172	33	844	844	NUM
iogr-427	172	34	node	node	PROPN
iogr-427	172	35	1074	1074	NUM
iogr-427	172	36	0.10	0.10	NUM
iogr-427	172	37	1	1	NUM
iogr-427	172	38	10	10	NUM
iogr-427	172	39	100	100	NUM
iogr-427	172	40	1000	1000	NUM
iogr-427	172	41	104	104	NUM
iogr-427	172	42	t	t	NOUN
iogr-427	172	43	1	1	NUM
iogr-427	172	44	100	100	NUM
iogr-427	172	45	104	104	NUM
iogr-427	172	46	msd	msd	NOUN
iogr-427	172	47	,	,	PUNCT
iogr-427	172	48	ft2	ft2	NOUN
iogr-427	172	49	0.10	0.10	NUM
iogr-427	172	50	1	1	NUM
iogr-427	172	51	10	10	NUM
iogr-427	172	52	100	100	NUM
iogr-427	172	53	1000	1000	NUM
iogr-427	172	54	104	104	NUM
iogr-427	172	55	t	t	NOUN
iogr-427	172	56	1	1	NUM
iogr-427	172	57	100	100	NUM
iogr-427	172	58	104	104	NUM
iogr-427	172	59	msd	msd	NOUN
iogr-427	172	60	,	,	PUNCT
iogr-427	172	61	ft	ft	NOUN
iogr-427	172	62	2	2	NUM
iogr-427	172	63	0.10	0.10	NUM
iogr-427	172	64	1	1	NUM
iogr-427	172	65	10	10	NUM
iogr-427	172	66	100	100	NUM
iogr-427	172	67	1000	1000	NUM
iogr-427	172	68	104	104	NUM
iogr-427	172	69	t	t	NOUN
iogr-427	172	70	1	1	NUM
iogr-427	172	71	100	100	NUM
iogr-427	172	72	104	104	NUM
iogr-427	172	73	msd	msd	NOUN
iogr-427	172	74	,	,	PUNCT
iogr-427	172	75	ft2	ft2	NOUN
iogr-427	172	76	0.10	0.10	NUM
iogr-427	172	77	1	1	NUM
iogr-427	172	78	10	10	NUM
iogr-427	172	79	100	100	NUM
iogr-427	172	80	1000	1000	NUM
iogr-427	172	81	104	104	NUM
iogr-427	172	82	t	t	NOUN
iogr-427	172	83	1	1	NUM
iogr-427	172	84	100	100	NUM
iogr-427	172	85	104	104	NUM
iogr-427	172	86	msd	msd	NOUN
iogr-427	172	87	,	,	PUNCT
iogr-427	172	88	ft2	ft2	NOUN
iogr-427	172	89	0.10	0.10	NUM
iogr-427	172	90	1	1	NUM
iogr-427	172	91	10	10	NUM
iogr-427	172	92	100	100	NUM
iogr-427	172	93	1000	1000	NUM
iogr-427	172	94	104	104	NUM
iogr-427	172	95	t	t	NOUN
iogr-427	172	96	1	1	NUM
iogr-427	172	97	100	100	NUM
iogr-427	172	98	104	104	NUM
iogr-427	172	99	msd	msd	NOUN
iogr-427	172	100	,	,	PUNCT
iogr-427	172	101	ft2	ft2	NOUN
iogr-427	172	102	0.10	0.10	NUM
iogr-427	172	103	1	1	NUM
iogr-427	172	104	10	10	NUM
iogr-427	172	105	100	100	NUM
iogr-427	172	106	1000	1000	NUM
iogr-427	172	107	104	104	NUM
iogr-427	172	108	t	t	NOUN
iogr-427	172	109	1	1	NUM
iogr-427	172	110	100	100	NUM
iogr-427	172	111	104	104	NUM
iogr-427	172	112	msd	msd	NOUN
iogr-427	172	113	,	,	PUNCT
iogr-427	172	114	ft	ft	NOUN
iogr-427	172	115	2	2	NUM
iogr-427	172	116	0.10	0.10	NUM
iogr-427	172	117	1	1	NUM
iogr-427	172	118	10	10	NUM
iogr-427	172	119	100	100	NUM
iogr-427	172	120	1000	1000	NUM
iogr-427	172	121	104	104	NUM
iogr-427	172	122	t	t	NOUN
iogr-427	172	123	1	1	NUM
iogr-427	172	124	100	100	NUM
iogr-427	172	125	104	104	NUM
iogr-427	172	126	msd	msd	NOUN
iogr-427	172	127	,	,	PUNCT
iogr-427	172	128	ft	ft	NOUN
iogr-427	172	129	2	2	NUM
iogr-427	172	130	0.10	0.10	NUM
iogr-427	172	131	1	1	NUM
iogr-427	172	132	10	10	NUM
iogr-427	172	133	100	100	NUM
iogr-427	172	134	1000	1000	NUM
iogr-427	172	135	104	104	NUM
iogr-427	172	136	t	t	NOUN
iogr-427	172	137	1	1	NUM
iogr-427	172	138	100	100	NUM
iogr-427	172	139	104	104	NUM
iogr-427	172	140	msd	msd	NOUN
iogr-427	172	141	,	,	PUNCT
iogr-427	172	142	ft	ft	PROPN
iogr-427	172	143	2	2	NUM
iogr-427	172	144	11	11	NUM
iogr-427	172	145	node	node	PROPN
iogr-427	172	146	1093	1093	NUM
iogr-427	172	147	node	node	NOUN
iogr-427	172	148	1126	1126	NUM
iogr-427	172	149	figure	figure	NOUN
iogr-427	172	150	5	5	NUM
iogr-427	172	151	—	—	PUNCT
iogr-427	172	152	log	log	NOUN
iogr-427	172	153	-	-	PUNCT
iogr-427	172	154	log	log	NOUN
iogr-427	172	155	plots	plot	NOUN
iogr-427	172	156	of	of	ADP
iogr-427	172	157	msd	msd	NOUN
iogr-427	172	158	vs.	vs.	ADP
iogr-427	172	159	time	time	NOUN
iogr-427	172	160	for	for	ADP
iogr-427	172	161	10	10	NUM
iogr-427	172	162	sampled	sample	VERB
iogr-427	172	163	nodes	node	NOUN
iogr-427	172	164	in	in	ADP
iogr-427	172	165	case	case	NOUN
iogr-427	172	166	0	0	NUM
iogr-427	172	167	.	.	PUNCT
iogr-427	173	1	case	case	NOUN
iogr-427	173	2	1	1	NUM
iogr-427	173	3	.	.	PUNCT
iogr-427	173	4	figure	figure	NOUN
iogr-427	173	5	6	6	NUM
iogr-427	173	6	—	—	PUNCT
iogr-427	173	7	map	map	NOUN
iogr-427	173	8	view	view	NOUN
iogr-427	173	9	plot	plot	NOUN
iogr-427	173	10	of	of	ADP
iogr-427	173	11	the	the	DET
iogr-427	173	12	fracture	fracture	NOUN
iogr-427	173	13	network	network	NOUN
iogr-427	173	14	and	and	CCONJ
iogr-427	173	15	10	10	NUM
iogr-427	173	16	sampled	sample	VERB
iogr-427	173	17	nodes	node	NOUN
iogr-427	173	18	in	in	ADP
iogr-427	173	19	case	case	NOUN
iogr-427	173	20	1	1	NUM
iogr-427	173	21	.	.	PUNCT
iogr-427	173	22	figure	figure	VERB
iogr-427	173	23	7	7	NUM
iogr-427	173	24	—	—	PUNCT
iogr-427	173	25	histogram	histogram	NOUN
iogr-427	173	26	of	of	ADP
iogr-427	173	27	the	the	DET
iogr-427	173	28	fracture	fracture	ADJ
iogr-427	173	29	length	length	NOUN
iogr-427	173	30	in	in	ADP
iogr-427	173	31	case	case	NOUN
iogr-427	173	32	1	1	NUM
iogr-427	173	33	.	.	NOUN
iogr-427	173	34	0.10	0.10	NUM
iogr-427	173	35	1	1	NUM
iogr-427	173	36	10	10	NUM
iogr-427	173	37	100	100	NUM
iogr-427	173	38	1000	1000	NUM
iogr-427	173	39	104	104	NUM
iogr-427	173	40	t	t	NOUN
iogr-427	173	41	1	1	NUM
iogr-427	173	42	100	100	NUM
iogr-427	173	43	104	104	NUM
iogr-427	173	44	msd	msd	NOUN
iogr-427	173	45	,	,	PUNCT
iogr-427	173	46	ft	ft	NOUN
iogr-427	173	47	2	2	NUM
iogr-427	173	48	0.10	0.10	NUM
iogr-427	173	49	1	1	NUM
iogr-427	173	50	10	10	NUM
iogr-427	173	51	100	100	NUM
iogr-427	173	52	1000	1000	NUM
iogr-427	173	53	104	104	NUM
iogr-427	173	54	t	t	NOUN
iogr-427	173	55	1	1	NUM
iogr-427	173	56	100	100	NUM
iogr-427	173	57	104	104	NUM
iogr-427	173	58	msd	msd	NOUN
iogr-427	173	59	,	,	PUNCT
iogr-427	173	60	ft	ft	PROPN
iogr-427	173	61	2	2	NUM
iogr-427	173	62	12	12	NUM
iogr-427	173	63	node	node	NOUN
iogr-427	173	64	72	72	NUM
iogr-427	173	65	node	node	NOUN
iogr-427	173	66	150	150	NUM
iogr-427	173	67	node	node	NOUN
iogr-427	173	68	236	236	NUM
iogr-427	173	69	node	node	NOUN
iogr-427	173	70	357	357	NUM
iogr-427	173	71	node	node	ADJ
iogr-427	173	72	542	542	NUM
iogr-427	173	73	node	node	PROPN
iogr-427	173	74	801	801	NUM
iogr-427	173	75	node	node	VERB
iogr-427	173	76	964	964	NUM
iogr-427	173	77	node	node	NOUN
iogr-427	173	78	1104	1104	NUM
iogr-427	173	79	1	1	NUM
iogr-427	173	80	100	100	NUM
iogr-427	173	81	104	104	NUM
iogr-427	173	82	t	t	NOUN
iogr-427	173	83	1	1	NUM
iogr-427	173	84	100	100	NUM
iogr-427	173	85	104	104	NUM
iogr-427	173	86	msd	msd	NOUN
iogr-427	173	87	,	,	PUNCT
iogr-427	173	88	ft	ft	NOUN
iogr-427	173	89	2	2	NUM
iogr-427	173	90	1	1	NUM
iogr-427	173	91	100	100	NUM
iogr-427	173	92	104	104	NUM
iogr-427	173	93	t	t	NOUN
iogr-427	173	94	1	1	NUM
iogr-427	173	95	100	100	NUM
iogr-427	173	96	104	104	NUM
iogr-427	173	97	msd	msd	NOUN
iogr-427	173	98	,	,	PUNCT
iogr-427	173	99	ft	ft	NOUN
iogr-427	173	100	2	2	NUM
iogr-427	173	101	1	1	NUM
iogr-427	173	102	100	100	NUM
iogr-427	173	103	104	104	NUM
iogr-427	173	104	t	t	NOUN
iogr-427	173	105	1	1	NUM
iogr-427	173	106	100	100	NUM
iogr-427	173	107	104	104	NUM
iogr-427	173	108	msd	msd	NOUN
iogr-427	173	109	,	,	PUNCT
iogr-427	173	110	ft	ft	NOUN
iogr-427	173	111	2	2	NUM
iogr-427	173	112	1	1	NUM
iogr-427	173	113	100	100	NUM
iogr-427	173	114	104	104	NUM
iogr-427	173	115	t	t	NOUN
iogr-427	173	116	1	1	NUM
iogr-427	173	117	100	100	NUM
iogr-427	173	118	104	104	NUM
iogr-427	173	119	msd	msd	NOUN
iogr-427	173	120	,	,	PUNCT
iogr-427	173	121	ft2	ft2	PROPN
iogr-427	173	122	1	1	NUM
iogr-427	173	123	100	100	NUM
iogr-427	173	124	104	104	NUM
iogr-427	173	125	t	t	NOUN
iogr-427	173	126	1	1	NUM
iogr-427	173	127	100	100	NUM
iogr-427	173	128	104	104	NUM
iogr-427	173	129	msd	msd	NOUN
iogr-427	173	130	,	,	PUNCT
iogr-427	173	131	ft	ft	NOUN
iogr-427	173	132	2	2	NUM
iogr-427	173	133	1	1	NUM
iogr-427	173	134	100	100	NUM
iogr-427	173	135	104	104	NUM
iogr-427	173	136	t	t	NOUN
iogr-427	173	137	1	1	NUM
iogr-427	173	138	100	100	NUM
iogr-427	173	139	104	104	NUM
iogr-427	173	140	msd	msd	NOUN
iogr-427	173	141	,	,	PUNCT
iogr-427	173	142	ft2	ft2	PROPN
iogr-427	173	143	1	1	NUM
iogr-427	173	144	100	100	NUM
iogr-427	173	145	104	104	NUM
iogr-427	173	146	t	t	NOUN
iogr-427	173	147	1	1	NUM
iogr-427	173	148	100	100	NUM
iogr-427	173	149	104	104	NUM
iogr-427	173	150	msd	msd	NOUN
iogr-427	173	151	,	,	PUNCT
iogr-427	173	152	ft	ft	NOUN
iogr-427	173	153	2	2	NUM
iogr-427	173	154	1	1	NUM
iogr-427	173	155	100	100	NUM
iogr-427	173	156	104	104	NUM
iogr-427	173	157	t	t	NOUN
iogr-427	173	158	1	1	NUM
iogr-427	173	159	100	100	NUM
iogr-427	173	160	104	104	NUM
iogr-427	173	161	msd	msd	NOUN
iogr-427	173	162	,	,	PUNCT
iogr-427	173	163	ft	ft	PROPN
iogr-427	173	164	2	2	NUM
iogr-427	173	165	13	13	NUM
iogr-427	173	166	node	node	NOUN
iogr-427	173	167	1526	1526	NUM
iogr-427	173	168	node	node	NOUN
iogr-427	173	169	1662	1662	NUM
iogr-427	173	170	figure	figure	NOUN
iogr-427	173	171	8	8	NUM
iogr-427	173	172	—	—	PUNCT
iogr-427	173	173	log	log	NOUN
iogr-427	173	174	-	-	PUNCT
iogr-427	173	175	log	log	NOUN
iogr-427	173	176	plots	plot	NOUN
iogr-427	173	177	of	of	ADP
iogr-427	173	178	msd	msd	NOUN
iogr-427	173	179	vs.	vs.	ADP
iogr-427	173	180	time	time	NOUN
iogr-427	173	181	for	for	ADP
iogr-427	173	182	10	10	NUM
iogr-427	173	183	sampled	sample	VERB
iogr-427	173	184	nodes	node	NOUN
iogr-427	173	185	in	in	ADP
iogr-427	173	186	case	case	NOUN
iogr-427	173	187	1	1	NUM
iogr-427	173	188	.	.	PUNCT
iogr-427	173	189	case	case	NOUN
iogr-427	173	190	2	2	NUM
iogr-427	173	191	.	.	X
iogr-427	173	192	figure	figure	NOUN
iogr-427	173	193	9	9	NUM
iogr-427	173	194	—	—	PUNCT
iogr-427	173	195	map	map	NOUN
iogr-427	173	196	view	view	NOUN
iogr-427	173	197	plot	plot	NOUN
iogr-427	173	198	of	of	ADP
iogr-427	173	199	the	the	DET
iogr-427	173	200	fracture	fracture	NOUN
iogr-427	173	201	network	network	NOUN
iogr-427	173	202	and	and	CCONJ
iogr-427	173	203	10	10	NUM
iogr-427	173	204	sampled	sample	VERB
iogr-427	173	205	nodes	node	NOUN
iogr-427	173	206	in	in	ADP
iogr-427	173	207	case	case	NOUN
iogr-427	173	208	2	2	NUM
iogr-427	173	209	.	.	PUNCT
iogr-427	173	210	figure	figure	NOUN
iogr-427	173	211	10	10	NUM
iogr-427	173	212	—	—	PUNCT
iogr-427	173	213	histogram	histogram	NOUN
iogr-427	173	214	of	of	ADP
iogr-427	173	215	the	the	DET
iogr-427	173	216	fracture	fracture	ADJ
iogr-427	173	217	length	length	NOUN
iogr-427	173	218	in	in	ADP
iogr-427	173	219	case	case	NOUN
iogr-427	173	220	2	2	NUM
iogr-427	173	221	.	.	NOUN
iogr-427	173	222	1	1	NUM
iogr-427	173	223	100	100	NUM
iogr-427	173	224	104	104	NUM
iogr-427	173	225	t	t	NOUN
iogr-427	173	226	1	1	NUM
iogr-427	173	227	100	100	NUM
iogr-427	173	228	104	104	NUM
iogr-427	173	229	msd	msd	NOUN
iogr-427	173	230	,	,	PUNCT
iogr-427	173	231	ft	ft	NOUN
iogr-427	173	232	2	2	NUM
iogr-427	173	233	1	1	NUM
iogr-427	173	234	100	100	NUM
iogr-427	173	235	104	104	NUM
iogr-427	173	236	t	t	NOUN
iogr-427	173	237	1	1	NUM
iogr-427	173	238	100	100	NUM
iogr-427	173	239	104	104	NUM
iogr-427	173	240	msd	msd	NOUN
iogr-427	173	241	,	,	PUNCT
iogr-427	173	242	ft	ft	PROPN
iogr-427	173	243	2	2	NUM
iogr-427	173	244	14	14	NUM
iogr-427	173	245	node	node	NOUN
iogr-427	173	246	139	139	NUM
iogr-427	173	247	node	node	NOUN
iogr-427	173	248	428	428	NUM
iogr-427	173	249	node	node	ADJ
iogr-427	173	250	731	731	NUM
iogr-427	173	251	node	node	NOUN
iogr-427	173	252	965	965	NUM
iogr-427	173	253	node	node	ADJ
iogr-427	173	254	1031	1031	NUM
iogr-427	173	255	node	node	VERB
iogr-427	173	256	1127	1127	NUM
iogr-427	173	257	node	node	PROPN
iogr-427	173	258	1194	1194	NUM
iogr-427	173	259	node	node	PROPN
iogr-427	173	260	1247	1247	NUM
iogr-427	173	261	1	1	NUM
iogr-427	173	262	100	100	NUM
iogr-427	173	263	104	104	NUM
iogr-427	173	264	t	t	NOUN
iogr-427	173	265	1	1	NUM
iogr-427	173	266	100	100	NUM
iogr-427	173	267	104	104	NUM
iogr-427	173	268	msd	msd	NOUN
iogr-427	173	269	,	,	PUNCT
iogr-427	173	270	ft	ft	NOUN
iogr-427	173	271	2	2	NUM
iogr-427	173	272	1	1	NUM
iogr-427	173	273	100	100	NUM
iogr-427	173	274	104	104	NUM
iogr-427	173	275	t	t	NOUN
iogr-427	173	276	1	1	NUM
iogr-427	173	277	100	100	NUM
iogr-427	173	278	104	104	NUM
iogr-427	173	279	msd	msd	NOUN
iogr-427	173	280	,	,	PUNCT
iogr-427	173	281	ft	ft	NOUN
iogr-427	173	282	2	2	NUM
iogr-427	173	283	1	1	NUM
iogr-427	173	284	100	100	NUM
iogr-427	173	285	104	104	NUM
iogr-427	173	286	t	t	NOUN
iogr-427	173	287	1	1	NUM
iogr-427	173	288	100	100	NUM
iogr-427	173	289	104	104	NUM
iogr-427	173	290	msd	msd	NOUN
iogr-427	173	291	,	,	PUNCT
iogr-427	173	292	ft	ft	NOUN
iogr-427	173	293	2	2	NUM
iogr-427	173	294	1	1	NUM
iogr-427	173	295	100	100	NUM
iogr-427	173	296	104	104	NUM
iogr-427	173	297	t	t	NOUN
iogr-427	173	298	1	1	NUM
iogr-427	173	299	100	100	NUM
iogr-427	173	300	104	104	NUM
iogr-427	173	301	msd	msd	NOUN
iogr-427	173	302	,	,	PUNCT
iogr-427	173	303	ft	ft	PROPN
iogr-427	173	304	2	2	NUM
iogr-427	173	305	0.1	0.1	NUM
iogr-427	173	306	100	100	NUM
iogr-427	173	307	105	105	NUM
iogr-427	173	308	t	t	NOUN
iogr-427	173	309	0.001	0.001	NUM
iogr-427	173	310	1	1	NUM
iogr-427	173	311	1000	1000	NUM
iogr-427	173	312	msd	msd	NOUN
iogr-427	173	313	,	,	PUNCT
iogr-427	173	314	ft2	ft2	PROPN
iogr-427	173	315	1	1	NUM
iogr-427	173	316	100	100	NUM
iogr-427	173	317	104	104	NUM
iogr-427	173	318	t	t	NOUN
iogr-427	173	319	0.1	0.1	NUM
iogr-427	173	320	10	10	NUM
iogr-427	173	321	1000	1000	NUM
iogr-427	173	322	105	105	NUM
iogr-427	173	323	msd	msd	NOUN
iogr-427	173	324	,	,	PUNCT
iogr-427	173	325	ft	ft	NOUN
iogr-427	173	326	2	2	NUM
iogr-427	173	327	1	1	NUM
iogr-427	173	328	100	100	NUM
iogr-427	173	329	104	104	NUM
iogr-427	173	330	t	t	NOUN
iogr-427	173	331	0.1	0.1	NUM
iogr-427	173	332	10	10	NUM
iogr-427	173	333	1000	1000	NUM
iogr-427	173	334	105	105	NUM
iogr-427	173	335	msd	msd	NOUN
iogr-427	173	336	,	,	PUNCT
iogr-427	173	337	ft	ft	NOUN
iogr-427	173	338	2	2	NUM
iogr-427	173	339	1	1	NUM
iogr-427	173	340	100	100	NUM
iogr-427	173	341	104	104	NUM
iogr-427	173	342	t	t	NOUN
iogr-427	173	343	1	1	NUM
iogr-427	173	344	100	100	NUM
iogr-427	173	345	104	104	NUM
iogr-427	173	346	msd	msd	NOUN
iogr-427	173	347	,	,	PUNCT
iogr-427	173	348	ft2	ft2	PROPN
iogr-427	173	349	15	15	NUM
iogr-427	173	350	node	node	PROPN
iogr-427	173	351	1391	1391	NUM
iogr-427	173	352	node	node	NOUN
iogr-427	173	353	1650	1650	NUM
iogr-427	173	354	figure	figure	NOUN
iogr-427	173	355	11	11	NUM
iogr-427	173	356	—	—	PUNCT
iogr-427	173	357	log	log	NOUN
iogr-427	173	358	-	-	PUNCT
iogr-427	173	359	log	log	NOUN
iogr-427	173	360	plots	plot	NOUN
iogr-427	173	361	of	of	ADP
iogr-427	173	362	msd	msd	NOUN
iogr-427	173	363	vs.	vs.	ADP
iogr-427	173	364	time	time	NOUN
iogr-427	173	365	for	for	ADP
iogr-427	173	366	10	10	NUM
iogr-427	173	367	sampled	sample	VERB
iogr-427	173	368	nodes	node	NOUN
iogr-427	173	369	in	in	ADP
iogr-427	173	370	case	case	NOUN
iogr-427	173	371	2	2	NUM
iogr-427	173	372	.	.	PUNCT
iogr-427	173	373	case	case	NOUN
iogr-427	173	374	3	3	NUM
iogr-427	173	375	.	.	PUNCT
iogr-427	173	376	figure	figure	NOUN
iogr-427	173	377	12	12	NUM
iogr-427	173	378	—	—	PUNCT
iogr-427	173	379	map	map	NOUN
iogr-427	173	380	view	view	NOUN
iogr-427	173	381	plot	plot	NOUN
iogr-427	173	382	of	of	ADP
iogr-427	173	383	the	the	DET
iogr-427	173	384	fracture	fracture	NOUN
iogr-427	173	385	network	network	NOUN
iogr-427	173	386	and	and	CCONJ
iogr-427	173	387	10	10	NUM
iogr-427	173	388	sampled	sample	VERB
iogr-427	173	389	nodes	node	NOUN
iogr-427	173	390	in	in	ADP
iogr-427	173	391	case	case	NOUN
iogr-427	173	392	3	3	NUM
iogr-427	173	393	.	.	X
iogr-427	173	394	figure	figure	NOUN
iogr-427	173	395	13	13	NUM
iogr-427	173	396	—	—	PUNCT
iogr-427	173	397	histogram	histogram	NOUN
iogr-427	173	398	of	of	ADP
iogr-427	173	399	the	the	DET
iogr-427	173	400	fracture	fracture	ADJ
iogr-427	173	401	length	length	NOUN
iogr-427	173	402	in	in	ADP
iogr-427	173	403	case	case	NOUN
iogr-427	173	404	3	3	NUM
iogr-427	173	405	.	.	NOUN
iogr-427	173	406	1	1	NUM
iogr-427	173	407	100	100	NUM
iogr-427	173	408	104	104	NUM
iogr-427	173	409	t	t	NOUN
iogr-427	173	410	1	1	NUM
iogr-427	173	411	100	100	NUM
iogr-427	173	412	104	104	NUM
iogr-427	173	413	msd	msd	NOUN
iogr-427	173	414	,	,	PUNCT
iogr-427	173	415	ft	ft	NOUN
iogr-427	173	416	2	2	NUM
iogr-427	173	417	0.10	0.10	NUM
iogr-427	173	418	1	1	NUM
iogr-427	173	419	10	10	NUM
iogr-427	173	420	100	100	NUM
iogr-427	173	421	1000	1000	NUM
iogr-427	173	422	104	104	NUM
iogr-427	173	423	t	t	NOUN
iogr-427	173	424	0.10	0.10	NUM
iogr-427	173	425	1	1	NUM
iogr-427	173	426	10	10	NUM
iogr-427	173	427	100	100	NUM
iogr-427	173	428	1000	1000	NUM
iogr-427	173	429	104	104	NUM
iogr-427	173	430	msd	msd	NOUN
iogr-427	173	431	,	,	PUNCT
iogr-427	173	432	ft2	ft2	PROPN
iogr-427	173	433	16	16	NUM
iogr-427	173	434	node	node	PROPN
iogr-427	173	435	7	7	NUM
iogr-427	173	436	node	node	NOUN
iogr-427	173	437	10	10	NUM
iogr-427	173	438	node	node	PROPN
iogr-427	173	439	187	187	NUM
iogr-427	173	440	node	node	NOUN
iogr-427	173	441	225	225	NUM
iogr-427	173	442	node	node	NOUN
iogr-427	173	443	358	358	NUM
iogr-427	173	444	node	node	VERB
iogr-427	173	445	377	377	NUM
iogr-427	173	446	node	node	NOUN
iogr-427	173	447	471	471	NUM
iogr-427	173	448	node	node	NOUN
iogr-427	173	449	576	576	NUM
iogr-427	173	450	1	1	NUM
iogr-427	173	451	100	100	NUM
iogr-427	173	452	104	104	NUM
iogr-427	173	453	t	t	NOUN
iogr-427	173	454	1	1	NUM
iogr-427	173	455	100	100	NUM
iogr-427	173	456	104	104	NUM
iogr-427	173	457	msd	msd	NOUN
iogr-427	173	458	,	,	PUNCT
iogr-427	173	459	ft	ft	NOUN
iogr-427	173	460	2	2	NUM
iogr-427	173	461	1	1	NUM
iogr-427	173	462	100	100	NUM
iogr-427	173	463	104	104	NUM
iogr-427	173	464	t	t	NOUN
iogr-427	173	465	1	1	NUM
iogr-427	173	466	100	100	NUM
iogr-427	173	467	104	104	NUM
iogr-427	173	468	msd	msd	NOUN
iogr-427	173	469	,	,	PUNCT
iogr-427	173	470	ft	ft	NOUN
iogr-427	173	471	2	2	NUM
iogr-427	173	472	1	1	NUM
iogr-427	173	473	100	100	NUM
iogr-427	173	474	104	104	NUM
iogr-427	173	475	t	t	NOUN
iogr-427	173	476	1	1	NUM
iogr-427	173	477	100	100	NUM
iogr-427	173	478	104	104	NUM
iogr-427	173	479	msd	msd	NOUN
iogr-427	173	480	,	,	PUNCT
iogr-427	173	481	ft	ft	NOUN
iogr-427	173	482	2	2	NUM
iogr-427	173	483	1	1	NUM
iogr-427	173	484	100	100	NUM
iogr-427	173	485	104	104	NUM
iogr-427	173	486	t	t	NOUN
iogr-427	173	487	1	1	NUM
iogr-427	173	488	100	100	NUM
iogr-427	173	489	104	104	NUM
iogr-427	173	490	msd	msd	NOUN
iogr-427	173	491	,	,	PUNCT
iogr-427	173	492	ft	ft	PROPN
iogr-427	173	493	2	2	NUM
iogr-427	173	494	0.1	0.1	NUM
iogr-427	173	495	100	100	NUM
iogr-427	173	496	105	105	NUM
iogr-427	173	497	t	t	NOUN
iogr-427	173	498	0.01	0.01	NUM
iogr-427	173	499	10	10	NUM
iogr-427	173	500	104	104	NUM
iogr-427	173	501	msd	msd	NOUN
iogr-427	173	502	,	,	PUNCT
iogr-427	173	503	ft	ft	NOUN
iogr-427	173	504	2	2	NUM
iogr-427	173	505	1	1	NUM
iogr-427	173	506	100	100	NUM
iogr-427	173	507	104	104	NUM
iogr-427	173	508	t	t	NOUN
iogr-427	173	509	0.1	0.1	NUM
iogr-427	173	510	10	10	NUM
iogr-427	173	511	1000	1000	NUM
iogr-427	173	512	105	105	NUM
iogr-427	173	513	msd	msd	NOUN
iogr-427	173	514	,	,	PUNCT
iogr-427	173	515	ft	ft	NOUN
iogr-427	173	516	2	2	NUM
iogr-427	173	517	1	1	NUM
iogr-427	173	518	100	100	NUM
iogr-427	173	519	104	104	NUM
iogr-427	173	520	t	t	NOUN
iogr-427	173	521	1	1	NUM
iogr-427	173	522	100	100	NUM
iogr-427	173	523	104	104	NUM
iogr-427	173	524	msd	msd	NOUN
iogr-427	173	525	,	,	PUNCT
iogr-427	173	526	ft	ft	NOUN
iogr-427	173	527	2	2	NUM
iogr-427	173	528	1	1	NUM
iogr-427	173	529	100	100	NUM
iogr-427	173	530	104	104	NUM
iogr-427	173	531	t	t	NOUN
iogr-427	173	532	1	1	NUM
iogr-427	173	533	100	100	NUM
iogr-427	173	534	104	104	NUM
iogr-427	173	535	msd	msd	NOUN
iogr-427	173	536	,	,	PUNCT
iogr-427	173	537	ft	ft	PROPN
iogr-427	173	538	2	2	NUM
iogr-427	173	539	17	17	NUM
iogr-427	173	540	node	node	NOUN
iogr-427	173	541	678	678	NUM
iogr-427	173	542	node	node	NOUN
iogr-427	173	543	690	690	NUM
iogr-427	173	544	figure	figure	NOUN
iogr-427	173	545	14	14	NUM
iogr-427	173	546	—	—	PUNCT
iogr-427	173	547	log	log	NOUN
iogr-427	173	548	-	-	PUNCT
iogr-427	173	549	log	log	NOUN
iogr-427	173	550	plots	plot	NOUN
iogr-427	173	551	of	of	ADP
iogr-427	173	552	msd	msd	NOUN
iogr-427	173	553	vs.	vs.	ADP
iogr-427	173	554	time	time	NOUN
iogr-427	173	555	for	for	ADP
iogr-427	173	556	10	10	NUM
iogr-427	173	557	sampled	sample	VERB
iogr-427	173	558	nodes	node	NOUN
iogr-427	173	559	in	in	ADP
iogr-427	173	560	case	case	NOUN
iogr-427	173	561	3	3	NUM
iogr-427	173	562	.	.	X
iogr-427	173	563	case	case	NOUN
iogr-427	173	564	4	4	NUM
iogr-427	173	565	.	.	PUNCT
iogr-427	173	566	figure	figure	VERB
iogr-427	173	567	15	15	NUM
iogr-427	173	568	—	—	PUNCT
iogr-427	173	569	map	map	NOUN
iogr-427	173	570	view	view	NOUN
iogr-427	173	571	plot	plot	NOUN
iogr-427	173	572	of	of	ADP
iogr-427	173	573	the	the	DET
iogr-427	173	574	fracture	fracture	NOUN
iogr-427	173	575	network	network	NOUN
iogr-427	173	576	and	and	CCONJ
iogr-427	173	577	10	10	NUM
iogr-427	173	578	sampled	sample	VERB
iogr-427	173	579	nodes	node	NOUN
iogr-427	173	580	in	in	ADP
iogr-427	173	581	case	case	NOUN
iogr-427	173	582	4	4	NUM
iogr-427	173	583	.	.	PUNCT
iogr-427	173	584	figure	figure	VERB
iogr-427	173	585	16	16	NUM
iogr-427	173	586	—	—	PUNCT
iogr-427	173	587	histogram	histogram	NOUN
iogr-427	173	588	of	of	ADP
iogr-427	173	589	the	the	DET
iogr-427	173	590	fracture	fracture	ADJ
iogr-427	173	591	length	length	NOUN
iogr-427	173	592	in	in	ADP
iogr-427	173	593	case	case	NOUN
iogr-427	173	594	4	4	NUM
iogr-427	173	595	.	.	NOUN
iogr-427	174	1	0.10	0.10	NUM
iogr-427	174	2	1	1	NUM
iogr-427	174	3	10	10	NUM
iogr-427	174	4	100	100	NUM
iogr-427	174	5	1000	1000	NUM
iogr-427	174	6	104	104	NUM
iogr-427	174	7	t	t	NOUN
iogr-427	174	8	1	1	NUM
iogr-427	174	9	100	100	NUM
iogr-427	174	10	104	104	NUM
iogr-427	174	11	msd	msd	NOUN
iogr-427	174	12	,	,	PUNCT
iogr-427	174	13	ft	ft	NOUN
iogr-427	174	14	2	2	NUM
iogr-427	174	15	0.010	0.010	NUM
iogr-427	174	16	0.100	0.100	NUM
iogr-427	174	17	1	1	NUM
iogr-427	174	18	10	10	NUM
iogr-427	174	19	t	t	NOUN
iogr-427	174	20	0.100	0.100	NUM
iogr-427	174	21	10	10	NUM
iogr-427	174	22	1000	1000	NUM
iogr-427	174	23	msd	msd	NOUN
iogr-427	174	24	,	,	PUNCT
iogr-427	174	25	ft	ft	PROPN
iogr-427	174	26	2	2	NUM
iogr-427	174	27	18	18	NUM
iogr-427	174	28	node	node	NOUN
iogr-427	174	29	340	340	NUM
iogr-427	174	30	node	node	NOUN
iogr-427	174	31	488	488	NUM
iogr-427	174	32	node	node	PROPN
iogr-427	174	33	631	631	NUM
iogr-427	174	34	node	node	NOUN
iogr-427	174	35	648	648	NUM
iogr-427	174	36	node	node	PROPN
iogr-427	174	37	1137	1137	NUM
iogr-427	174	38	node	node	PROPN
iogr-427	174	39	1152	1152	NUM
iogr-427	174	40	node	node	PROPN
iogr-427	174	41	1714	1714	NUM
iogr-427	174	42	node	node	NOUN
iogr-427	174	43	1958	1958	NUM
iogr-427	174	44	0.1	0.1	NUM
iogr-427	174	45	10	10	NUM
iogr-427	174	46	1000	1000	NUM
iogr-427	174	47	105	105	NUM
iogr-427	174	48	t	t	NOUN
iogr-427	174	49	0.1	0.1	NUM
iogr-427	174	50	10	10	NUM
iogr-427	174	51	1000	1000	NUM
iogr-427	174	52	105	105	NUM
iogr-427	174	53	msd	msd	NOUN
iogr-427	174	54	,	,	PUNCT
iogr-427	174	55	ft	ft	PROPN
iogr-427	174	56	2	2	NUM
iogr-427	174	57	0.1	0.1	NUM
iogr-427	174	58	10	10	NUM
iogr-427	174	59	1000	1000	NUM
iogr-427	174	60	105	105	NUM
iogr-427	174	61	t	t	NOUN
iogr-427	174	62	0.1	0.1	NUM
iogr-427	174	63	10	10	NUM
iogr-427	174	64	1000	1000	NUM
iogr-427	174	65	105	105	NUM
iogr-427	174	66	msd	msd	NOUN
iogr-427	174	67	,	,	PUNCT
iogr-427	174	68	ft	ft	PROPN
iogr-427	174	69	2	2	NUM
iogr-427	174	70	0.1	0.1	NUM
iogr-427	174	71	10	10	NUM
iogr-427	174	72	1000	1000	NUM
iogr-427	174	73	105	105	NUM
iogr-427	174	74	t	t	NOUN
iogr-427	174	75	0.1	0.1	NUM
iogr-427	174	76	10	10	NUM
iogr-427	174	77	1000	1000	NUM
iogr-427	174	78	105	105	NUM
iogr-427	174	79	msd	msd	NOUN
iogr-427	174	80	,	,	PUNCT
iogr-427	174	81	ft	ft	PROPN
iogr-427	174	82	2	2	NUM
iogr-427	174	83	0.1	0.1	NUM
iogr-427	174	84	10	10	NUM
iogr-427	174	85	1000	1000	NUM
iogr-427	174	86	105	105	NUM
iogr-427	174	87	t	t	NOUN
iogr-427	174	88	0.1	0.1	NUM
iogr-427	174	89	10	10	NUM
iogr-427	174	90	1000	1000	NUM
iogr-427	174	91	105	105	NUM
iogr-427	174	92	msd	msd	NOUN
iogr-427	174	93	,	,	PUNCT
iogr-427	174	94	ft	ft	PROPN
iogr-427	174	95	2	2	NUM
iogr-427	174	96	0.1	0.1	NUM
iogr-427	174	97	10	10	NUM
iogr-427	174	98	1000	1000	NUM
iogr-427	174	99	105	105	NUM
iogr-427	174	100	t	t	NOUN
iogr-427	174	101	0.1	0.1	NUM
iogr-427	174	102	10	10	NUM
iogr-427	174	103	1000	1000	NUM
iogr-427	174	104	105	105	NUM
iogr-427	174	105	msd	msd	NOUN
iogr-427	174	106	,	,	PUNCT
iogr-427	174	107	ft	ft	PROPN
iogr-427	174	108	2	2	NUM
iogr-427	174	109	0.1	0.1	NUM
iogr-427	174	110	10	10	NUM
iogr-427	174	111	1000	1000	NUM
iogr-427	174	112	105	105	NUM
iogr-427	174	113	t	t	NOUN
iogr-427	174	114	0.1	0.1	NUM
iogr-427	174	115	10	10	NUM
iogr-427	174	116	1000	1000	NUM
iogr-427	174	117	105	105	NUM
iogr-427	174	118	msd	msd	NOUN
iogr-427	174	119	,	,	PUNCT
iogr-427	174	120	ft	ft	PROPN
iogr-427	174	121	2	2	NUM
iogr-427	174	122	0.1	0.1	NUM
iogr-427	174	123	10	10	NUM
iogr-427	174	124	1000	1000	NUM
iogr-427	174	125	105	105	NUM
iogr-427	174	126	t	t	NOUN
iogr-427	174	127	0.1	0.1	NUM
iogr-427	174	128	10	10	NUM
iogr-427	174	129	1000	1000	NUM
iogr-427	174	130	105	105	NUM
iogr-427	174	131	msd	msd	NOUN
iogr-427	174	132	,	,	PUNCT
iogr-427	174	133	ft	ft	PROPN
iogr-427	174	134	2	2	NUM
iogr-427	174	135	0.1	0.1	NUM
iogr-427	174	136	10	10	NUM
iogr-427	174	137	1000	1000	NUM
iogr-427	174	138	105	105	NUM
iogr-427	174	139	t	t	NOUN
iogr-427	174	140	0.1	0.1	NUM
iogr-427	174	141	10	10	NUM
iogr-427	174	142	1000	1000	NUM
iogr-427	174	143	105	105	NUM
iogr-427	174	144	msd	msd	NOUN
iogr-427	174	145	,	,	PUNCT
iogr-427	174	146	ft	ft	PROPN
iogr-427	174	147	2	2	NUM
iogr-427	174	148	19	19	NUM
iogr-427	174	149	node	node	NOUN
iogr-427	174	150	2128	2128	NUM
iogr-427	174	151	node	node	PROPN
iogr-427	174	152	2182	2182	NUM
iogr-427	174	153	figure	figure	NOUN
iogr-427	174	154	17	17	NUM
iogr-427	174	155	—	—	PUNCT
iogr-427	174	156	log	log	NOUN
iogr-427	174	157	-	-	PUNCT
iogr-427	174	158	log	log	NOUN
iogr-427	174	159	plots	plot	NOUN
iogr-427	174	160	of	of	ADP
iogr-427	174	161	msd	msd	NOUN
iogr-427	174	162	vs.	vs.	ADP
iogr-427	174	163	time	time	NOUN
iogr-427	174	164	for	for	ADP
iogr-427	174	165	10	10	NUM
iogr-427	174	166	sampled	sample	VERB
iogr-427	174	167	nodes	node	NOUN
iogr-427	174	168	in	in	ADP
iogr-427	174	169	case	case	NOUN
iogr-427	174	170	4	4	NUM
iogr-427	174	171	.	.	PUNCT
iogr-427	175	1	discussions	discussion	NOUN
iogr-427	175	2	of	of	ADP
iogr-427	175	3	the	the	DET
iogr-427	175	4	results	result	NOUN
iogr-427	175	5	when	when	SCONJ
iogr-427	175	6	performing	perform	VERB
iogr-427	175	7	the	the	DET
iogr-427	175	8	above	above	ADJ
iogr-427	175	9	5	5	NUM
iogr-427	175	10	case	case	NOUN
iogr-427	175	11	studies	study	NOUN
iogr-427	175	12	,	,	PUNCT
iogr-427	175	13	for	for	ADP
iogr-427	175	14	simplicity	simplicity	NOUN
iogr-427	175	15	we	we	PRON
iogr-427	175	16	assign	assign	VERB
iogr-427	175	17	unit	unit	NOUN
iogr-427	175	18	value	value	NOUN
iogr-427	175	19	to	to	ADP
iogr-427	175	20	the	the	DET
iogr-427	175	21	diffusivity	diffusivity	NOUN
iogr-427	175	22	coefficient	coefficient	NOUN
iogr-427	175	23	𝜂𝑗	𝜂𝑗	ADP
iogr-427	175	24	,	,	PUNCT
iogr-427	175	25	the	the	DET
iogr-427	175	26	aperture	aperture	NOUN
iogr-427	175	27	𝑏𝑗	𝑏𝑗	PROPN
iogr-427	175	28	,	,	PUNCT
iogr-427	175	29	the	the	DET
iogr-427	175	30	fracture	fracture	ADJ
iogr-427	175	31	height	height	NOUN
iogr-427	175	32	ℎ	ℎ	PROPN
iogr-427	175	33	,	,	PUNCT
iogr-427	175	34	and	and	CCONJ
iogr-427	175	35	the	the	DET
iogr-427	175	36	characteristic	characteristic	ADJ
iogr-427	175	37	length	length	NOUN
iogr-427	175	38	𝑎	𝑎	NOUN
iogr-427	175	39	and	and	CCONJ
iogr-427	175	40	only	only	ADV
iogr-427	175	41	use	use	VERB
iogr-427	175	42	1	1	NUM
iogr-427	175	43	𝑙𝑗⁄	𝑙𝑗⁄	NOUN
iogr-427	175	44	as	as	ADP
iogr-427	175	45	the	the	DET
iogr-427	175	46	weight	weight	NOUN
iogr-427	175	47	of	of	ADP
iogr-427	175	48	the	the	DET
iogr-427	175	49	edges	edge	NOUN
iogr-427	175	50	to	to	PART
iogr-427	175	51	construct	construct	VERB
iogr-427	175	52	the	the	DET
iogr-427	175	53	weighted	weight	VERB
iogr-427	175	54	graph	graph	NOUN
iogr-427	175	55	’s	’s	PART
iogr-427	175	56	laplacian	laplacian	ADJ
iogr-427	175	57	matrix	matrix	NOUN
iogr-427	175	58	.	.	PUNCT
iogr-427	176	1	since	since	SCONJ
iogr-427	176	2	by	by	ADP
iogr-427	176	3	our	our	PRON
iogr-427	176	4	assumptions	assumption	NOUN
iogr-427	176	5	𝜂𝑗	𝜂𝑗	ADP
iogr-427	176	6	,	,	PUNCT
iogr-427	176	7	𝑏𝑗	𝑏𝑗	NOUN
iogr-427	176	8	,	,	PUNCT
iogr-427	176	9	ℎ	ℎ	PROPN
iogr-427	176	10	and	and	CCONJ
iogr-427	176	11	𝑎	𝑎	NOUN
iogr-427	176	12	are	be	AUX
iogr-427	176	13	all	all	PRON
iogr-427	176	14	constants	constant	NOUN
iogr-427	176	15	,	,	PUNCT
iogr-427	176	16	only	only	ADV
iogr-427	176	17	a	a	DET
iogr-427	176	18	constant	constant	ADJ
iogr-427	176	19	factor	factor	NOUN
iogr-427	176	20	is	be	AUX
iogr-427	176	21	needed	need	VERB
iogr-427	176	22	to	to	PART
iogr-427	176	23	transfer	transfer	VERB
iogr-427	176	24	the	the	DET
iogr-427	176	25	“	"	PUNCT
iogr-427	176	26	time	time	NOUN
iogr-427	176	27	”	"	PUNCT
iogr-427	176	28	𝑡	𝑡	NOUN
iogr-427	176	29	in	in	ADP
iogr-427	176	30	the	the	DET
iogr-427	176	31	above	above	ADJ
iogr-427	176	32	plots	plot	NOUN
iogr-427	176	33	to	to	ADP
iogr-427	176	34	the	the	DET
iogr-427	176	35	real	real	ADJ
iogr-427	176	36	time	time	NOUN
iogr-427	176	37	,	,	PUNCT
iogr-427	176	38	and	and	CCONJ
iogr-427	176	39	the	the	DET
iogr-427	176	40	phenomena	phenomenon	NOUN
iogr-427	176	41	displayed	display	VERB
iogr-427	176	42	are	be	AUX
iogr-427	176	43	n’t	not	PART
iogr-427	176	44	affected	affect	VERB
iogr-427	176	45	by	by	ADP
iogr-427	176	46	the	the	DET
iogr-427	176	47	values	value	NOUN
iogr-427	176	48	of	of	ADP
iogr-427	176	49	these	these	DET
iogr-427	176	50	parameters	parameter	NOUN
iogr-427	176	51	as	as	ADV
iogr-427	176	52	far	far	ADV
iogr-427	176	53	as	as	SCONJ
iogr-427	176	54	they	they	PRON
iogr-427	176	55	fall	fall	VERB
iogr-427	176	56	into	into	ADP
iogr-427	176	57	the	the	DET
iogr-427	176	58	ranges	range	NOUN
iogr-427	176	59	guaranteeing	guarantee	VERB
iogr-427	176	60	the	the	DET
iogr-427	176	61	basic	basic	ADJ
iogr-427	176	62	assumptions	assumption	NOUN
iogr-427	176	63	of	of	ADP
iogr-427	176	64	this	this	DET
iogr-427	176	65	work	work	NOUN
iogr-427	176	66	.	.	PUNCT
iogr-427	177	1	in	in	ADP
iogr-427	177	2	each	each	PRON
iogr-427	177	3	of	of	ADP
iogr-427	177	4	the	the	DET
iogr-427	177	5	above	above	ADJ
iogr-427	177	6	plots	plot	NOUN
iogr-427	177	7	,	,	PUNCT
iogr-427	177	8	besides	besides	SCONJ
iogr-427	177	9	the	the	DET
iogr-427	177	10	resulting	result	VERB
iogr-427	177	11	relations	relation	NOUN
iogr-427	177	12	of	of	ADP
iogr-427	177	13	msd	msd	NOUN
iogr-427	177	14	vs.	vs.	ADP
iogr-427	177	15	𝑡	𝑡	PROPN
iogr-427	177	16	presented	present	VERB
iogr-427	177	17	in	in	ADP
iogr-427	177	18	log	log	NOUN
iogr-427	177	19	-	-	PUNCT
iogr-427	177	20	log	log	NOUN
iogr-427	177	21	plot	plot	NOUN
iogr-427	177	22	,	,	PUNCT
iogr-427	177	23	some	some	DET
iogr-427	177	24	dash	dash	NOUN
iogr-427	177	25	lines	line	NOUN
iogr-427	177	26	with	with	ADP
iogr-427	177	27	different	different	ADJ
iogr-427	177	28	colors	color	NOUN
iogr-427	177	29	are	be	AUX
iogr-427	177	30	added	add	VERB
iogr-427	177	31	to	to	PART
iogr-427	177	32	accommodate	accommodate	VERB
iogr-427	177	33	our	our	PRON
iogr-427	177	34	analysis	analysis	NOUN
iogr-427	177	35	.	.	PUNCT
iogr-427	178	1	firstly	firstly	ADV
iogr-427	178	2	,	,	PUNCT
iogr-427	178	3	the	the	DET
iogr-427	178	4	most	most	ADV
iogr-427	178	5	straight	straight	ADJ
iogr-427	178	6	-	-	PUNCT
iogr-427	178	7	forward	forward	NOUN
iogr-427	178	8	one	one	NOUN
iogr-427	178	9	is	be	AUX
iogr-427	178	10	the	the	DET
iogr-427	178	11	orange	orange	ADJ
iogr-427	178	12	dash	dash	NOUN
iogr-427	178	13	line	line	NOUN
iogr-427	178	14	,	,	PUNCT
iogr-427	178	15	which	which	PRON
iogr-427	178	16	has	have	VERB
iogr-427	178	17	exactly	exactly	ADV
iogr-427	178	18	the	the	DET
iogr-427	178	19	unit	unit	NOUN
iogr-427	178	20	slope	slope	NOUN
iogr-427	178	21	.	.	PUNCT
iogr-427	179	1	because	because	SCONJ
iogr-427	179	2	case	case	NOUN
iogr-427	179	3	0	0	PUNCT
iogr-427	179	4	uses	use	VERB
iogr-427	179	5	the	the	DET
iogr-427	179	6	regular	regular	ADJ
iogr-427	179	7	grid	grid	NOUN
iogr-427	179	8	to	to	PART
iogr-427	179	9	do	do	VERB
iogr-427	179	10	the	the	DET
iogr-427	179	11	simulation	simulation	NOUN
iogr-427	179	12	,	,	PUNCT
iogr-427	179	13	it	it	PRON
iogr-427	179	14	is	be	AUX
iogr-427	179	15	exactly	exactly	ADV
iogr-427	179	16	the	the	DET
iogr-427	179	17	same	same	ADJ
iogr-427	179	18	thing	thing	NOUN
iogr-427	179	19	as	as	ADP
iogr-427	179	20	conducting	conduct	VERB
iogr-427	179	21	numerical	numerical	ADJ
iogr-427	179	22	simulation	simulation	NOUN
iogr-427	179	23	to	to	ADP
iogr-427	179	24	the	the	DET
iogr-427	179	25	homogeneous	homogeneous	ADJ
iogr-427	179	26	reservoirs	reservoir	NOUN
iogr-427	179	27	with	with	ADP
iogr-427	179	28	the	the	DET
iogr-427	179	29	most	most	ADV
iogr-427	179	30	common	common	ADJ
iogr-427	179	31	spatial	spatial	ADJ
iogr-427	179	32	discretization	discretization	NOUN
iogr-427	179	33	.	.	PUNCT
iogr-427	180	1	thus	thus	ADV
iogr-427	180	2	,	,	PUNCT
iogr-427	180	3	case	case	NOUN
iogr-427	180	4	0	0	NUM
iogr-427	180	5	’s	’s	PART
iogr-427	180	6	result	result	NOUN
iogr-427	180	7	should	should	AUX
iogr-427	180	8	be	be	AUX
iogr-427	180	9	expected	expect	VERB
iogr-427	180	10	to	to	PART
iogr-427	180	11	show	show	VERB
iogr-427	180	12	the	the	DET
iogr-427	180	13	nature	nature	NOUN
iogr-427	180	14	of	of	ADP
iogr-427	180	15	normal	normal	ADJ
iogr-427	180	16	diffusion	diffusion	NOUN
iogr-427	180	17	,	,	PUNCT
iogr-427	180	18	as	as	SCONJ
iogr-427	180	19	we	we	PRON
iogr-427	180	20	have	have	AUX
iogr-427	180	21	discussed	discuss	VERB
iogr-427	180	22	in	in	ADP
iogr-427	180	23	the	the	DET
iogr-427	180	24	previous	previous	ADJ
iogr-427	180	25	section	section	NOUN
iogr-427	180	26	.	.	PUNCT
iogr-427	181	1	it	it	PRON
iogr-427	181	2	is	be	AUX
iogr-427	181	3	exactly	exactly	ADV
iogr-427	181	4	what	what	PRON
iogr-427	181	5	we	we	PRON
iogr-427	181	6	see	see	VERB
iogr-427	181	7	in	in	ADP
iogr-427	181	8	case	case	NOUN
iogr-427	181	9	0	0	NUM
iogr-427	181	10	’s	’s	PART
iogr-427	181	11	plots	plot	NOUN
iogr-427	181	12	(	(	PUNCT
iogr-427	181	13	figure	figure	NOUN
iogr-427	181	14	5	5	NUM
iogr-427	181	15	)	)	PUNCT
iogr-427	181	16	.	.	PUNCT
iogr-427	182	1	the	the	DET
iogr-427	182	2	unit	unit	NOUN
iogr-427	182	3	-	-	PUNCT
iogr-427	182	4	slope	slope	NOUN
iogr-427	182	5	orange	orange	NOUN
iogr-427	182	6	line	line	NOUN
iogr-427	182	7	tracks	track	VERB
iogr-427	182	8	firmly	firmly	ADV
iogr-427	182	9	the	the	DET
iogr-427	182	10	resulting	result	VERB
iogr-427	182	11	curve	curve	NOUN
iogr-427	182	12	until	until	SCONJ
iogr-427	182	13	deviation	deviation	NOUN
iogr-427	182	14	happens	happen	VERB
iogr-427	182	15	at	at	ADP
iogr-427	182	16	the	the	DET
iogr-427	182	17	late	late	ADJ
iogr-427	182	18	time	time	NOUN
iogr-427	182	19	,	,	PUNCT
iogr-427	182	20	when	when	SCONJ
iogr-427	182	21	most	most	ADJ
iogr-427	182	22	of	of	ADP
iogr-427	182	23	the	the	DET
iogr-427	182	24	particles	particle	NOUN
iogr-427	182	25	have	have	AUX
iogr-427	182	26	been	be	AUX
iogr-427	182	27	“	"	PUNCT
iogr-427	182	28	locked	lock	VERB
iogr-427	182	29	”	"	PUNCT
iogr-427	182	30	in	in	ADP
iogr-427	182	31	the	the	DET
iogr-427	182	32	absorbing	absorb	VERB
iogr-427	182	33	nodes	node	NOUN
iogr-427	182	34	and	and	CCONJ
iogr-427	182	35	msd	msd	NOUN
iogr-427	182	36	levels	level	NOUN
iogr-427	182	37	out	out	ADP
iogr-427	182	38	.	.	PUNCT
iogr-427	183	1	some	some	DET
iogr-427	183	2	very	very	ADV
iogr-427	183	3	small	small	ADJ
iogr-427	183	4	deviations	deviation	NOUN
iogr-427	183	5	occur	occur	VERB
iogr-427	183	6	at	at	ADP
iogr-427	183	7	the	the	DET
iogr-427	183	8	early	early	ADJ
iogr-427	183	9	or	or	CCONJ
iogr-427	183	10	intermediate	intermediate	ADJ
iogr-427	183	11	time	time	NOUN
iogr-427	183	12	of	of	ADP
iogr-427	183	13	some	some	DET
iogr-427	183	14	nodes	node	NOUN
iogr-427	183	15	,	,	PUNCT
iogr-427	183	16	node	node	NOUN
iogr-427	183	17	155	155	NUM
iogr-427	183	18	,	,	PUNCT
iogr-427	183	19	node1074	node1074	PROPN
iogr-427	183	20	,	,	PUNCT
iogr-427	183	21	and	and	CCONJ
iogr-427	183	22	node	node	PROPN
iogr-427	183	23	1126	1126	NUM
iogr-427	183	24	.	.	PUNCT
iogr-427	184	1	this	this	PRON
iogr-427	184	2	is	be	AUX
iogr-427	184	3	due	due	ADJ
iogr-427	184	4	to	to	ADP
iogr-427	184	5	the	the	DET
iogr-427	184	6	boundary	boundary	ADJ
iogr-427	184	7	effect	effect	NOUN
iogr-427	184	8	of	of	ADP
iogr-427	184	9	our	our	PRON
iogr-427	184	10	finite	finite	ADJ
iogr-427	184	11	graph	graph	NOUN
iogr-427	184	12	on	on	ADP
iogr-427	184	13	these	these	DET
iogr-427	184	14	nodes	node	NOUN
iogr-427	184	15	that	that	PRON
iogr-427	184	16	are	be	AUX
iogr-427	184	17	relatively	relatively	ADV
iogr-427	184	18	close	close	ADJ
iogr-427	184	19	to	to	ADP
iogr-427	184	20	the	the	DET
iogr-427	184	21	boundaries	boundary	NOUN
iogr-427	184	22	.	.	PUNCT
iogr-427	185	1	then	then	ADV
iogr-427	185	2	,	,	PUNCT
iogr-427	185	3	using	use	VERB
iogr-427	185	4	case	case	NOUN
iogr-427	185	5	0	0	PUNCT
iogr-427	185	6	as	as	ADP
iogr-427	185	7	a	a	DET
iogr-427	185	8	reference	reference	NOUN
iogr-427	185	9	,	,	PUNCT
iogr-427	185	10	we	we	PRON
iogr-427	185	11	can	can	AUX
iogr-427	185	12	immediately	immediately	ADV
iogr-427	185	13	notice	notice	VERB
iogr-427	185	14	the	the	DET
iogr-427	185	15	discrepancies	discrepancy	NOUN
iogr-427	185	16	between	between	ADP
iogr-427	185	17	other	other	ADJ
iogr-427	185	18	cases	case	NOUN
iogr-427	185	19	(	(	PUNCT
iogr-427	185	20	figure	figure	NOUN
iogr-427	185	21	8	8	NUM
iogr-427	185	22	,	,	PUNCT
iogr-427	185	23	figure	figure	NOUN
iogr-427	185	24	11	11	NUM
iogr-427	185	25	,	,	PUNCT
iogr-427	185	26	figure	figure	NOUN
iogr-427	185	27	14	14	NUM
iogr-427	185	28	,	,	PUNCT
iogr-427	185	29	and	and	CCONJ
iogr-427	185	30	figure	figure	VERB
iogr-427	185	31	17	17	NUM
iogr-427	185	32	)	)	PUNCT
iogr-427	185	33	and	and	CCONJ
iogr-427	185	34	the	the	DET
iogr-427	185	35	normal	normal	ADJ
iogr-427	185	36	diffusion	diffusion	NOUN
iogr-427	185	37	.	.	PUNCT
iogr-427	186	1	although	although	SCONJ
iogr-427	186	2	it	it	PRON
iogr-427	186	3	seems	seem	VERB
iogr-427	186	4	that	that	SCONJ
iogr-427	186	5	every	every	DET
iogr-427	186	6	node	node	NOUN
iogr-427	186	7	in	in	ADP
iogr-427	186	8	from	from	ADP
iogr-427	186	9	case	case	NOUN
iogr-427	186	10	1	1	NUM
iogr-427	186	11	to	to	PART
iogr-427	186	12	case	case	NOUN
iogr-427	186	13	4	4	NUM
iogr-427	186	14	has	have	VERB
iogr-427	186	15	its	its	PRON
iogr-427	186	16	unique	unique	ADJ
iogr-427	186	17	relation	relation	NOUN
iogr-427	186	18	due	due	ADP
iogr-427	186	19	the	the	DET
iogr-427	186	20	various	various	ADJ
iogr-427	186	21	local	local	ADJ
iogr-427	186	22	characteristics	characteristic	NOUN
iogr-427	186	23	of	of	ADP
iogr-427	186	24	the	the	DET
iogr-427	186	25	random	random	ADJ
iogr-427	186	26	created	create	VERB
iogr-427	186	27	dfn	dfn	NOUN
iogr-427	186	28	,	,	PUNCT
iogr-427	186	29	an	an	DET
iogr-427	186	30	obvious	obvious	ADJ
iogr-427	186	31	common	common	ADJ
iogr-427	186	32	phenomenon	phenomenon	NOUN
iogr-427	186	33	is	be	AUX
iogr-427	186	34	that	that	SCONJ
iogr-427	186	35	most	most	ADJ
iogr-427	186	36	of	of	ADP
iogr-427	186	37	the	the	DET
iogr-427	186	38	curves	curve	NOUN
iogr-427	186	39	deviate	deviate	VERB
iogr-427	186	40	from	from	ADP
iogr-427	186	41	the	the	DET
iogr-427	186	42	unitslope	unitslope	NOUN
iogr-427	186	43	orange	orange	NOUN
iogr-427	186	44	in	in	ADP
iogr-427	186	45	quite	quite	ADV
iogr-427	186	46	early	early	ADJ
iogr-427	186	47	time	time	NOUN
iogr-427	186	48	.	.	PUNCT
iogr-427	187	1	many	many	ADJ
iogr-427	187	2	of	of	ADP
iogr-427	187	3	them	they	PRON
iogr-427	187	4	are	be	AUX
iogr-427	187	5	concave	concave	VERB
iogr-427	187	6	downwards	downward	NOUN
iogr-427	187	7	displaying	display	VERB
iogr-427	187	8	subdiffusion	subdiffusion	NOUN
iogr-427	187	9	,	,	PUNCT
iogr-427	187	10	with	with	SCONJ
iogr-427	187	11	some	some	PRON
iogr-427	187	12	of	of	ADP
iogr-427	187	13	them	they	PRON
iogr-427	187	14	being	be	AUX
iogr-427	187	15	concave	concave	VERB
iogr-427	187	16	upwards	upwards	ADV
iogr-427	187	17	corresponding	correspond	VERB
iogr-427	187	18	to	to	ADP
iogr-427	187	19	superdiffusion	superdiffusion	NOUN
iogr-427	187	20	.	.	PUNCT
iogr-427	188	1	the	the	DET
iogr-427	188	2	pair	pair	NOUN
iogr-427	188	3	of	of	ADP
iogr-427	188	4	green	green	ADJ
iogr-427	188	5	dash	dash	NOUN
iogr-427	188	6	lines	line	NOUN
iogr-427	188	7	in	in	ADP
iogr-427	188	8	each	each	DET
iogr-427	188	9	plot	plot	NOUN
iogr-427	188	10	give	give	VERB
iogr-427	188	11	us	we	PRON
iogr-427	188	12	some	some	DET
iogr-427	188	13	sense	sense	NOUN
iogr-427	188	14	of	of	ADP
iogr-427	188	15	the	the	DET
iogr-427	188	16	scale	scale	NOUN
iogr-427	188	17	of	of	ADP
iogr-427	188	18	heterogeneity	heterogeneity	NOUN
iogr-427	188	19	.	.	PUNCT
iogr-427	189	1	roughly	roughly	ADV
iogr-427	189	2	speaking	speak	VERB
iogr-427	189	3	,	,	PUNCT
iogr-427	189	4	the	the	DET
iogr-427	189	5	average	average	ADJ
iogr-427	189	6	fracture	fracture	NOUN
iogr-427	189	7	length	length	NOUN
iogr-427	189	8	in	in	ADP
iogr-427	189	9	all	all	DET
iogr-427	189	10	5	5	NUM
iogr-427	189	11	cases	case	NOUN
iogr-427	189	12	is	be	AUX
iogr-427	189	13	about	about	ADV
iogr-427	189	14	10	10	NUM
iogr-427	189	15	ft	ft	NOUN
iogr-427	189	16	,	,	PUNCT
iogr-427	189	17	which	which	PRON
iogr-427	189	18	corresponds	correspond	VERB
iogr-427	189	19	to	to	ADP
iogr-427	189	20	100	100	NUM
iogr-427	189	21	ft2	ft2	NOUN
iogr-427	189	22	for	for	ADP
iogr-427	189	23	distance	distance	NOUN
iogr-427	189	24	square	square	NOUN
iogr-427	189	25	.	.	PUNCT
iogr-427	190	1	so	so	ADV
iogr-427	190	2	,	,	PUNCT
iogr-427	190	3	the	the	DET
iogr-427	190	4	green	green	ADJ
iogr-427	190	5	line	line	NOUN
iogr-427	190	6	pair	pair	NOUN
iogr-427	190	7	shows	show	VERB
iogr-427	190	8	the	the	DET
iogr-427	190	9	point	point	NOUN
iogr-427	190	10	where	where	SCONJ
iogr-427	190	11	the	the	DET
iogr-427	190	12	msd	msd	NOUN
iogr-427	190	13	reaches	reach	VERB
iogr-427	190	14	a	a	DET
iogr-427	190	15	value	value	NOUN
iogr-427	190	16	that	that	PRON
iogr-427	190	17	can	can	AUX
iogr-427	190	18	be	be	AUX
iogr-427	190	19	taken	take	VERB
iogr-427	190	20	as	as	ADP
iogr-427	190	21	characteristic	characteristic	ADJ
iogr-427	190	22	size	size	NOUN
iogr-427	190	23	of	of	ADP
iogr-427	190	24	heterogeneity	heterogeneity	NOUN
iogr-427	190	25	.	.	PUNCT
iogr-427	191	1	in	in	ADP
iogr-427	191	2	case	case	NOUN
iogr-427	191	3	0	0	NUM
iogr-427	191	4	where	where	SCONJ
iogr-427	191	5	the	the	DET
iogr-427	191	6	fracture	fracture	ADJ
iogr-427	191	7	segments	segment	NOUN
iogr-427	191	8	are	be	AUX
iogr-427	191	9	all	all	ADV
iogr-427	191	10	10	10	NUM
iogr-427	191	11	ft	ft	NOUN
iogr-427	191	12	long	long	ADJ
iogr-427	191	13	,	,	PUNCT
iogr-427	191	14	the	the	DET
iogr-427	191	15	slope	slope	NOUN
iogr-427	191	16	keeps	keep	VERB
iogr-427	191	17	the	the	DET
iogr-427	191	18	unit	unit	NOUN
iogr-427	191	19	value	value	NOUN
iogr-427	191	20	before	before	ADV
iogr-427	191	21	and	and	CCONJ
iogr-427	191	22	after	after	ADP
iogr-427	191	23	100	100	NUM
iogr-427	191	24	ft2	ft2	NOUN
iogr-427	191	25	msd	msd	NOUN
iogr-427	191	26	is	be	AUX
iogr-427	191	27	reached	reach	VERB
iogr-427	191	28	due	due	ADP
iogr-427	191	29	to	to	ADP
iogr-427	191	30	the	the	DET
iogr-427	191	31	totally	totally	ADV
iogr-427	191	32	homogeneous	homogeneous	ADJ
iogr-427	191	33	fracture	fracture	NOUN
iogr-427	191	34	distribution	distribution	NOUN
iogr-427	191	35	.	.	PUNCT
iogr-427	192	1	in	in	ADP
iogr-427	192	2	other	other	ADJ
iogr-427	192	3	cases	case	NOUN
iogr-427	192	4	,	,	PUNCT
iogr-427	192	5	most	most	ADJ
iogr-427	192	6	deviations	deviation	NOUN
iogr-427	192	7	happen	happen	VERB
iogr-427	192	8	within	within	ADP
iogr-427	192	9	the	the	DET
iogr-427	192	10	range	range	NOUN
iogr-427	192	11	10	10	NUM
iogr-427	192	12	ft2~1000	ft2~1000	NUM
iogr-427	192	13	ft2msd	ft2msd	NOUN
iogr-427	192	14	,	,	PUNCT
iogr-427	192	15	or	or	CCONJ
iogr-427	192	16	1	1	NUM
iogr-427	192	17	ft	ft	NOUN
iogr-427	192	18	~	~	PUNCT
iogr-427	192	19	10	10	NUM
iogr-427	192	20	ft	ft	NOUN
iogr-427	192	21	,	,	PUNCT
iogr-427	192	22	again	again	ADV
iogr-427	192	23	roughly	roughly	ADV
iogr-427	192	24	speaking	speak	VERB
iogr-427	192	25	.	.	PUNCT
iogr-427	193	1	moreover	moreover	ADV
iogr-427	193	2	,	,	PUNCT
iogr-427	193	3	we	we	PRON
iogr-427	193	4	can	can	AUX
iogr-427	193	5	see	see	VERB
iogr-427	193	6	that	that	SCONJ
iogr-427	193	7	each	each	DET
iogr-427	193	8	plot	plot	NOUN
iogr-427	193	9	has	have	VERB
iogr-427	193	10	the	the	DET
iogr-427	193	11	exact	exact	ADJ
iogr-427	193	12	unit	unit	NOUN
iogr-427	193	13	-	-	PUNCT
iogr-427	193	14	slope	slope	NOUN
iogr-427	193	15	section	section	NOUN
iogr-427	193	16	in	in	ADP
iogr-427	193	17	the	the	DET
iogr-427	193	18	very	very	ADV
iogr-427	193	19	early	early	ADJ
iogr-427	193	20	time	time	NOUN
iogr-427	193	21	when	when	SCONJ
iogr-427	193	22	msd	msd	NOUN
iogr-427	193	23	is	be	AUX
iogr-427	193	24	very	very	ADV
iogr-427	193	25	small	small	ADJ
iogr-427	193	26	.	.	PUNCT
iogr-427	194	1	recall	recall	VERB
iogr-427	194	2	that	that	SCONJ
iogr-427	194	3	only	only	ADJ
iogr-427	194	4	fractures	fracture	NOUN
iogr-427	194	5	longer	long	ADJ
iogr-427	194	6	than	than	ADP
iogr-427	194	7	10	10	NUM
iogr-427	194	8	-	-	SYM
iogr-427	194	9	3	3	NUM
iogr-427	194	10	ft	ft	NOUN
iogr-427	194	11	are	be	AUX
iogr-427	194	12	modeled	model	VERB
iogr-427	194	13	in	in	ADP
iogr-427	194	14	our	our	PRON
iogr-427	194	15	work	work	NOUN
iogr-427	194	16	,	,	PUNCT
iogr-427	194	17	and	and	CCONJ
iogr-427	194	18	the	the	DET
iogr-427	194	19	number	number	NOUN
iogr-427	194	20	of	of	ADP
iogr-427	194	21	fractures	fracture	NOUN
iogr-427	194	22	with	with	ADP
iogr-427	194	23	length	length	NOUN
iogr-427	194	24	less	less	ADJ
iogr-427	194	25	than	than	ADP
iogr-427	194	26	10	10	NUM
iogr-427	194	27	-	-	SYM
iogr-427	194	28	1	1	NUM
iogr-427	194	29	ft	ft	NOUN
iogr-427	194	30	is	be	AUX
iogr-427	194	31	very	very	ADV
iogr-427	194	32	small	small	ADJ
iogr-427	194	33	from	from	ADP
iogr-427	194	34	all	all	DET
iogr-427	194	35	the	the	DET
iogr-427	194	36	four	four	NUM
iogr-427	194	37	histograms	histogram	NOUN
iogr-427	194	38	.	.	PUNCT
iogr-427	195	1	this	this	PRON
iogr-427	195	2	means	mean	VERB
iogr-427	195	3	that	that	SCONJ
iogr-427	195	4	the	the	DET
iogr-427	195	5	flow	flow	NOUN
iogr-427	195	6	domain	domain	NOUN
iogr-427	195	7	with	with	ADP
iogr-427	195	8	its	its	PRON
iogr-427	195	9	characteristic	characteristic	ADJ
iogr-427	195	10	dimensions	dimension	NOUN
iogr-427	195	11	less	less	ADJ
iogr-427	195	12	than	than	ADP
iogr-427	195	13	the	the	DET
iogr-427	195	14	average	average	ADJ
iogr-427	195	15	fracture	fracture	NOUN
iogr-427	195	16	length	length	NOUN
iogr-427	195	17	can	can	AUX
iogr-427	195	18	be	be	AUX
iogr-427	195	19	considered	consider	VERB
iogr-427	195	20	homogeneous	homogeneous	ADJ
iogr-427	195	21	to	to	ADP
iogr-427	195	22	some	some	DET
iogr-427	195	23	extent	extent	NOUN
iogr-427	195	24	.	.	PUNCT
iogr-427	196	1	however	however	ADV
iogr-427	196	2	,	,	PUNCT
iogr-427	196	3	since	since	SCONJ
iogr-427	196	4	only	only	ADV
iogr-427	196	5	10	10	NUM
iogr-427	196	6	nodes	node	NOUN
iogr-427	196	7	have	have	AUX
iogr-427	196	8	been	be	AUX
iogr-427	196	9	sampled	sample	VERB
iogr-427	196	10	out	out	ADP
iogr-427	196	11	of	of	ADP
iogr-427	196	12	thousands	thousand	NOUN
iogr-427	196	13	for	for	ADP
iogr-427	196	14	each	each	DET
iogr-427	196	15	case	case	NOUN
iogr-427	196	16	,	,	PUNCT
iogr-427	196	17	this	this	DET
iogr-427	196	18	point	point	NOUN
iogr-427	196	19	can	can	AUX
iogr-427	196	20	only	only	ADV
iogr-427	196	21	be	be	AUX
iogr-427	196	22	taken	take	VERB
iogr-427	196	23	as	as	ADP
iogr-427	196	24	a	a	DET
iogr-427	196	25	reasonable	reasonable	ADJ
iogr-427	196	26	suggestion	suggestion	NOUN
iogr-427	196	27	.	.	PUNCT
iogr-427	197	1	it	it	PRON
iogr-427	197	2	should	should	AUX
iogr-427	197	3	also	also	ADV
iogr-427	197	4	be	be	AUX
iogr-427	197	5	noted	note	VERB
iogr-427	197	6	that	that	SCONJ
iogr-427	197	7	this	this	DET
iogr-427	197	8	observation	observation	NOUN
iogr-427	197	9	has	have	AUX
iogr-427	197	10	been	be	AUX
iogr-427	197	11	made	make	VERB
iogr-427	197	12	while	while	SCONJ
iogr-427	197	13	neglecting	neglect	VERB
iogr-427	197	14	all	all	DET
iogr-427	197	15	other	other	ADJ
iogr-427	197	16	types	type	NOUN
iogr-427	197	17	of	of	ADP
iogr-427	197	18	heterogeneity	heterogeneity	NOUN
iogr-427	197	19	.	.	PUNCT
iogr-427	198	1	0.10	0.10	NUM
iogr-427	198	2	1	1	NUM
iogr-427	198	3	10	10	NUM
iogr-427	198	4	100	100	NUM
iogr-427	198	5	1000	1000	NUM
iogr-427	198	6	104	104	NUM
iogr-427	198	7	t	t	NOUN
iogr-427	198	8	0.10	0.10	NUM
iogr-427	198	9	1	1	NUM
iogr-427	198	10	10	10	NUM
iogr-427	198	11	100	100	NUM
iogr-427	198	12	1000	1000	NUM
iogr-427	198	13	104	104	NUM
iogr-427	198	14	msd	msd	NOUN
iogr-427	198	15	,	,	PUNCT
iogr-427	198	16	ft	ft	NOUN
iogr-427	198	17	2	2	NUM
iogr-427	198	18	0.10	0.10	NUM
iogr-427	198	19	1	1	NUM
iogr-427	198	20	10	10	NUM
iogr-427	198	21	100	100	NUM
iogr-427	198	22	1000	1000	NUM
iogr-427	198	23	104	104	NUM
iogr-427	198	24	t	t	NOUN
iogr-427	198	25	0.10	0.10	NUM
iogr-427	198	26	1	1	NUM
iogr-427	198	27	10	10	NUM
iogr-427	198	28	100	100	NUM
iogr-427	198	29	1000	1000	NUM
iogr-427	198	30	104	104	NUM
iogr-427	198	31	msd	msd	NOUN
iogr-427	198	32	,	,	PUNCT
iogr-427	198	33	ft	ft	PROPN
iogr-427	198	34	2	2	NUM
iogr-427	198	35	20	20	NUM
iogr-427	198	36	although	although	SCONJ
iogr-427	198	37	currently	currently	ADV
iogr-427	198	38	we	we	PRON
iogr-427	198	39	can	can	AUX
iogr-427	198	40	not	not	PART
iogr-427	198	41	connect	connect	VERB
iogr-427	198	42	the	the	DET
iogr-427	198	43	fracture	fracture	PROPN
iogr-427	198	44	network	network	NOUN
iogr-427	198	45	characteristics	characteristic	NOUN
iogr-427	198	46	(	(	PUNCT
iogr-427	198	47	fracture	fracture	NOUN
iogr-427	198	48	density	density	NOUN
iogr-427	198	49	,	,	PUNCT
iogr-427	198	50	fracture	fracture	NOUN
iogr-427	198	51	length	length	NOUN
iogr-427	198	52	distribution	distribution	NOUN
iogr-427	198	53	,	,	PUNCT
iogr-427	198	54	fracture	fracture	NOUN
iogr-427	198	55	sets	set	NOUN
iogr-427	198	56	and	and	CCONJ
iogr-427	198	57	clusters	cluster	NOUN
iogr-427	198	58	,	,	PUNCT
iogr-427	198	59	and	and	CCONJ
iogr-427	198	60	so	so	ADV
iogr-427	198	61	on	on	ADV
iogr-427	198	62	)	)	PUNCT
iogr-427	198	63	to	to	ADP
iogr-427	198	64	the	the	DET
iogr-427	198	65	properties	property	NOUN
iogr-427	198	66	of	of	ADP
iogr-427	198	67	the	the	DET
iogr-427	198	68	diffusion	diffusion	NOUN
iogr-427	198	69	due	due	ADP
iogr-427	198	70	to	to	ADP
iogr-427	198	71	the	the	DET
iogr-427	198	72	limited	limited	ADJ
iogr-427	198	73	number	number	NOUN
iogr-427	198	74	of	of	ADP
iogr-427	198	75	sampled	sample	VERB
iogr-427	198	76	nodes	node	NOUN
iogr-427	198	77	,	,	PUNCT
iogr-427	198	78	we	we	PRON
iogr-427	198	79	are	be	AUX
iogr-427	198	80	capable	capable	ADJ
iogr-427	198	81	to	to	PART
iogr-427	198	82	summarize	summarize	VERB
iogr-427	198	83	some	some	DET
iogr-427	198	84	common	common	ADJ
iogr-427	198	85	diffusion	diffusion	NOUN
iogr-427	198	86	patterns	pattern	NOUN
iogr-427	198	87	when	when	SCONJ
iogr-427	198	88	looking	look	VERB
iogr-427	198	89	at	at	ADP
iogr-427	198	90	the	the	DET
iogr-427	198	91	results	result	NOUN
iogr-427	198	92	from	from	ADP
iogr-427	198	93	various	various	ADJ
iogr-427	198	94	dfns	dfns	NOUN
iogr-427	198	95	comprehensively	comprehensively	ADV
iogr-427	198	96	.	.	PUNCT
iogr-427	199	1	we	we	PRON
iogr-427	199	2	have	have	AUX
iogr-427	199	3	already	already	ADV
iogr-427	199	4	noted	note	VERB
iogr-427	199	5	the	the	DET
iogr-427	199	6	early	early	ADJ
iogr-427	199	7	time	time	NOUN
iogr-427	199	8	concave	concave	NOUN
iogr-427	199	9	period	period	NOUN
iogr-427	199	10	.	.	PUNCT
iogr-427	200	1	similarly	similarly	ADV
iogr-427	200	2	,	,	PUNCT
iogr-427	200	3	the	the	DET
iogr-427	200	4	absorbing	absorbing	ADJ
iogr-427	200	5	boundary	boundary	ADJ
iogr-427	200	6	domination	domination	NOUN
iogr-427	200	7	at	at	ADP
iogr-427	200	8	the	the	DET
iogr-427	200	9	late	late	ADJ
iogr-427	200	10	time	time	NOUN
iogr-427	200	11	is	be	AUX
iogr-427	200	12	quite	quite	ADV
iogr-427	200	13	apparent	apparent	ADJ
iogr-427	200	14	.	.	PUNCT
iogr-427	201	1	from	from	ADP
iogr-427	201	2	the	the	DET
iogr-427	201	3	homogeneous	homogeneous	ADJ
iogr-427	201	4	case	case	NOUN
iogr-427	201	5	0	0	NUM
iogr-427	201	6	,	,	PUNCT
iogr-427	201	7	it	it	PRON
iogr-427	201	8	is	be	AUX
iogr-427	201	9	apparent	apparent	ADJ
iogr-427	201	10	that	that	SCONJ
iogr-427	201	11	the	the	DET
iogr-427	201	12	absorbing	absorbing	ADJ
iogr-427	201	13	boundary	boundary	NOUN
iogr-427	201	14	has	have	VERB
iogr-427	201	15	the	the	DET
iogr-427	201	16	effect	effect	NOUN
iogr-427	201	17	of	of	ADP
iogr-427	201	18	greatly	greatly	ADV
iogr-427	201	19	leveling	level	VERB
iogr-427	201	20	out	out	ADP
iogr-427	201	21	the	the	DET
iogr-427	201	22	curve	curve	NOUN
iogr-427	201	23	.	.	PUNCT
iogr-427	202	1	bearing	bear	VERB
iogr-427	202	2	this	this	PRON
iogr-427	202	3	in	in	ADP
iogr-427	202	4	mind	mind	NOUN
iogr-427	202	5	,	,	PUNCT
iogr-427	202	6	we	we	PRON
iogr-427	202	7	roughly	roughly	ADV
iogr-427	202	8	draw	draw	VERB
iogr-427	202	9	the	the	DET
iogr-427	202	10	red	red	ADJ
iogr-427	202	11	straight	straight	ADJ
iogr-427	202	12	dash	dash	NOUN
iogr-427	202	13	line	line	NOUN
iogr-427	202	14	by	by	ADP
iogr-427	202	15	hand	hand	NOUN
iogr-427	202	16	to	to	PART
iogr-427	202	17	try	try	VERB
iogr-427	202	18	to	to	PART
iogr-427	202	19	catch	catch	VERB
iogr-427	202	20	up	up	ADP
iogr-427	202	21	its	its	PRON
iogr-427	202	22	average	average	ADJ
iogr-427	202	23	deviating	deviate	VERB
iogr-427	202	24	trends	trend	NOUN
iogr-427	202	25	in	in	ADP
iogr-427	202	26	early	early	ADJ
iogr-427	202	27	or	or	CCONJ
iogr-427	202	28	intermediate	intermediate	ADJ
iogr-427	202	29	times	time	NOUN
iogr-427	202	30	,	,	PUNCT
iogr-427	202	31	and	and	CCONJ
iogr-427	202	32	to	to	PART
iogr-427	202	33	try	try	VERB
iogr-427	202	34	to	to	PART
iogr-427	202	35	rule	rule	VERB
iogr-427	202	36	out	out	ADP
iogr-427	202	37	the	the	DET
iogr-427	202	38	absorbing	absorbing	ADJ
iogr-427	202	39	boundary	boundary	ADJ
iogr-427	202	40	effects	effect	NOUN
iogr-427	202	41	.	.	PUNCT
iogr-427	203	1	so	so	ADV
iogr-427	203	2	,	,	PUNCT
iogr-427	203	3	these	these	DET
iogr-427	203	4	handmade	handmade	ADJ
iogr-427	203	5	trendlines	trendline	NOUN
iogr-427	203	6	are	be	AUX
iogr-427	203	7	to	to	ADP
iogr-427	203	8	some	some	DET
iogr-427	203	9	extent	extent	NOUN
iogr-427	203	10	secant	secant	ADJ
iogr-427	203	11	lines	line	NOUN
iogr-427	203	12	of	of	ADP
iogr-427	203	13	the	the	DET
iogr-427	203	14	resulting	result	VERB
iogr-427	203	15	curves	curve	NOUN
iogr-427	203	16	.	.	PUNCT
iogr-427	204	1	consequently	consequently	ADV
iogr-427	204	2	,	,	PUNCT
iogr-427	204	3	the	the	DET
iogr-427	204	4	slope	slope	NOUN
iogr-427	204	5	of	of	ADP
iogr-427	204	6	these	these	DET
iogr-427	204	7	trendlines	trendline	NOUN
iogr-427	204	8	,	,	PUNCT
iogr-427	204	9	which	which	PRON
iogr-427	204	10	is	be	AUX
iogr-427	204	11	exactly	exactly	ADV
iogr-427	204	12	the	the	DET
iogr-427	204	13	diffusivity	diffusivity	NOUN
iogr-427	204	14	exponent	exponent	NOUN
iogr-427	204	15	𝛼	𝛼	INTJ
iogr-427	204	16	in	in	ADP
iogr-427	204	17	eq	eq	ADP
iogr-427	204	18	.	.	PUNCT
iogr-427	205	1	(	(	PUNCT
iogr-427	205	2	7	7	NUM
iogr-427	205	3	)	)	PUNCT
iogr-427	205	4	,	,	PUNCT
iogr-427	205	5	tells	tell	VERB
iogr-427	205	6	the	the	DET
iogr-427	205	7	types	type	NOUN
iogr-427	205	8	of	of	ADP
iogr-427	205	9	anomalous	anomalous	ADJ
iogr-427	205	10	diffusion	diffusion	NOUN
iogr-427	205	11	in	in	ADP
iogr-427	205	12	a	a	DET
iogr-427	205	13	given	give	VERB
iogr-427	205	14	range	range	NOUN
iogr-427	205	15	of	of	ADP
iogr-427	205	16	scale	scale	NOUN
iogr-427	205	17	:	:	PUNCT
iogr-427	205	18	subdiffusion	subdiffusion	NOUN
iogr-427	205	19	for	for	ADP
iogr-427	205	20	𝛼	𝛼	X
iogr-427	205	21	<	<	X
iogr-427	205	22	1	1	NUM
iogr-427	205	23	and	and	CCONJ
iogr-427	205	24	superdiffusion	superdiffusion	NOUN
iogr-427	205	25	for	for	ADP
iogr-427	205	26	𝛼	𝛼	X
iogr-427	205	27	>	>	X
iogr-427	205	28	1	1	NUM
iogr-427	205	29	.	.	PUNCT
iogr-427	206	1	generally	generally	ADV
iogr-427	206	2	speaking	speak	VERB
iogr-427	206	3	,	,	PUNCT
iogr-427	206	4	there	there	PRON
iogr-427	206	5	are	be	VERB
iogr-427	206	6	two	two	NUM
iogr-427	206	7	diffusion	diffusion	NOUN
iogr-427	206	8	patterns	pattern	NOUN
iogr-427	206	9	for	for	ADP
iogr-427	206	10	the	the	DET
iogr-427	206	11	flow	flow	NOUN
iogr-427	206	12	in	in	ADP
iogr-427	206	13	the	the	DET
iogr-427	206	14	fracture	fracture	NOUN
iogr-427	206	15	network	network	NOUN
iogr-427	206	16	,	,	PUNCT
iogr-427	206	17	if	if	SCONJ
iogr-427	206	18	the	the	DET
iogr-427	206	19	anomalous	anomalous	ADJ
iogr-427	206	20	diffusion	diffusion	NOUN
iogr-427	206	21	does	do	AUX
iogr-427	206	22	happen	happen	VERB
iogr-427	206	23	.	.	PUNCT
iogr-427	207	1	type	type	NOUN
iogr-427	207	2	1	1	NUM
iogr-427	207	3	is	be	AUX
iogr-427	207	4	that	that	SCONJ
iogr-427	207	5	after	after	ADP
iogr-427	207	6	the	the	DET
iogr-427	207	7	early	early	ADJ
iogr-427	207	8	normal	normal	ADJ
iogr-427	207	9	diffusion	diffusion	NOUN
iogr-427	207	10	section	section	NOUN
iogr-427	207	11	,	,	PUNCT
iogr-427	207	12	the	the	DET
iogr-427	207	13	curve	curve	NOUN
iogr-427	207	14	directly	directly	ADV
iogr-427	207	15	concaves	concave	VERB
iogr-427	207	16	downward	downward	ADV
iogr-427	207	17	,	,	PUNCT
iogr-427	207	18	and	and	CCONJ
iogr-427	207	19	the	the	DET
iogr-427	207	20	flow	flow	NOUN
iogr-427	207	21	begins	begin	VERB
iogr-427	207	22	to	to	PART
iogr-427	207	23	undertake	undertake	VERB
iogr-427	207	24	subdiffusion	subdiffusion	NOUN
iogr-427	207	25	until	until	SCONJ
iogr-427	207	26	the	the	DET
iogr-427	207	27	absorbing	absorbing	ADJ
iogr-427	207	28	boundary	boundary	NOUN
iogr-427	207	29	dominates	dominate	VERB
iogr-427	207	30	.	.	PUNCT
iogr-427	208	1	the	the	DET
iogr-427	208	2	typical	typical	ADJ
iogr-427	208	3	examples	example	NOUN
iogr-427	208	4	for	for	ADP
iogr-427	208	5	this	this	DET
iogr-427	208	6	type	type	NOUN
iogr-427	208	7	are	be	AUX
iogr-427	208	8	node	node	ADJ
iogr-427	208	9	964	964	NUM
iogr-427	208	10	,	,	PUNCT
iogr-427	208	11	1104	1104	NUM
iogr-427	208	12	in	in	ADP
iogr-427	208	13	case	case	NOUN
iogr-427	208	14	1	1	NUM
iogr-427	208	15	(	(	PUNCT
iogr-427	208	16	figure	figure	NOUN
iogr-427	208	17	8)	8)	NUM
iogr-427	208	18	,	,	PUNCT
iogr-427	208	19	node	node	NOUN
iogr-427	208	20	139	139	NUM
iogr-427	208	21	,	,	PUNCT
iogr-427	208	22	428	428	NUM
iogr-427	208	23	,	,	PUNCT
iogr-427	208	24	731	731	NUM
iogr-427	208	25	,	,	PUNCT
iogr-427	208	26	965	965	NUM
iogr-427	208	27	,	,	PUNCT
iogr-427	208	28	1650	1650	NUM
iogr-427	208	29	in	in	ADP
iogr-427	208	30	case	case	NOUN
iogr-427	208	31	2	2	NUM
iogr-427	208	32	(	(	PUNCT
iogr-427	208	33	figure	figure	NOUN
iogr-427	208	34	11	11	NUM
iogr-427	208	35	)	)	PUNCT
iogr-427	208	36	,	,	PUNCT
iogr-427	208	37	node	node	NOUN
iogr-427	208	38	10	10	NUM
iogr-427	208	39	,	,	PUNCT
iogr-427	208	40	471	471	NUM
iogr-427	208	41	in	in	ADP
iogr-427	208	42	case	case	NOUN
iogr-427	208	43	3	3	NUM
iogr-427	208	44	(	(	PUNCT
iogr-427	208	45	figure	figure	NOUN
iogr-427	208	46	14	14	NUM
iogr-427	208	47	)	)	PUNCT
iogr-427	208	48	,	,	PUNCT
iogr-427	208	49	and	and	CCONJ
iogr-427	208	50	node	node	NOUN
iogr-427	208	51	1137	1137	NUM
iogr-427	208	52	,	,	PUNCT
iogr-427	208	53	1714	1714	NUM
iogr-427	208	54	,	,	PUNCT
iogr-427	208	55	2128	2128	NUM
iogr-427	208	56	in	in	ADP
iogr-427	208	57	case4	case4	PROPN
iogr-427	208	58	(	(	PUNCT
iogr-427	208	59	figure	figure	NOUN
iogr-427	208	60	17	17	NUM
iogr-427	208	61	)	)	PUNCT
iogr-427	208	62	.	.	PUNCT
iogr-427	209	1	type	type	NOUN
iogr-427	209	2	2	2	NUM
iogr-427	209	3	is	be	AUX
iogr-427	209	4	characterized	characterize	VERB
iogr-427	209	5	with	with	ADP
iogr-427	209	6	a	a	DET
iogr-427	209	7	hump	hump	VERB
iogr-427	209	8	-	-	PUNCT
iogr-427	209	9	like	like	ADJ
iogr-427	209	10	shape	shape	NOUN
iogr-427	209	11	,	,	PUNCT
iogr-427	209	12	which	which	PRON
iogr-427	209	13	means	mean	VERB
iogr-427	209	14	the	the	DET
iogr-427	209	15	curve	curve	NOUN
iogr-427	209	16	concaves	concave	NOUN
iogr-427	209	17	upward	upward	ADV
iogr-427	209	18	to	to	PART
iogr-427	209	19	undertake	undertake	VERB
iogr-427	209	20	superdiffusion	superdiffusion	NOUN
iogr-427	209	21	firstly	firstly	ADV
iogr-427	209	22	,	,	PUNCT
iogr-427	209	23	and	and	CCONJ
iogr-427	209	24	then	then	ADV
iogr-427	209	25	becomes	become	VERB
iogr-427	209	26	subdiffusion	subdiffusion	NOUN
iogr-427	209	27	in	in	ADP
iogr-427	209	28	a	a	DET
iogr-427	209	29	larger	large	ADJ
iogr-427	209	30	msd	msd	NOUN
iogr-427	209	31	range	range	NOUN
iogr-427	209	32	.	.	PUNCT
iogr-427	210	1	the	the	DET
iogr-427	210	2	typical	typical	ADJ
iogr-427	210	3	examples	example	NOUN
iogr-427	210	4	for	for	ADP
iogr-427	210	5	this	this	DET
iogr-427	210	6	type	type	NOUN
iogr-427	210	7	are	be	AUX
iogr-427	210	8	node	node	NOUN
iogr-427	210	9	150	150	NUM
iogr-427	210	10	,	,	PUNCT
iogr-427	210	11	357	357	NUM
iogr-427	210	12	,	,	PUNCT
iogr-427	210	13	801	801	NUM
iogr-427	210	14	in	in	ADP
iogr-427	210	15	case	case	NOUN
iogr-427	210	16	1	1	NUM
iogr-427	210	17	(	(	PUNCT
iogr-427	210	18	figure	figure	NOUN
iogr-427	210	19	8)	8)	NUM
iogr-427	210	20	,	,	PUNCT
iogr-427	210	21	node	node	NOUN
iogr-427	210	22	1031	1031	NUM
iogr-427	210	23	in	in	ADP
iogr-427	210	24	case	case	NOUN
iogr-427	210	25	2	2	NUM
iogr-427	210	26	(	(	PUNCT
iogr-427	210	27	figure	figure	NOUN
iogr-427	210	28	11	11	NUM
iogr-427	210	29	)	)	PUNCT
iogr-427	210	30	,	,	PUNCT
iogr-427	210	31	node	node	NOUN
iogr-427	210	32	7	7	NUM
iogr-427	210	33	,	,	PUNCT
iogr-427	210	34	377	377	NUM
iogr-427	210	35	in	in	ADP
iogr-427	210	36	case	case	NOUN
iogr-427	210	37	3	3	NUM
iogr-427	210	38	(	(	PUNCT
iogr-427	210	39	figure	figure	NOUN
iogr-427	210	40	14	14	NUM
iogr-427	210	41	)	)	PUNCT
iogr-427	210	42	,	,	PUNCT
iogr-427	210	43	and	and	CCONJ
iogr-427	210	44	node	node	NOUN
iogr-427	210	45	340	340	NUM
iogr-427	210	46	,	,	PUNCT
iogr-427	210	47	1958	1958	NUM
iogr-427	210	48	,	,	PUNCT
iogr-427	210	49	2182	2182	NUM
iogr-427	210	50	in	in	ADP
iogr-427	210	51	case	case	NOUN
iogr-427	210	52	4	4	NUM
iogr-427	210	53	(	(	PUNCT
iogr-427	210	54	figure	figure	NOUN
iogr-427	210	55	17	17	NUM
iogr-427	210	56	)	)	PUNCT
iogr-427	210	57	.	.	PUNCT
iogr-427	211	1	only	only	ADV
iogr-427	211	2	if	if	SCONJ
iogr-427	211	3	the	the	DET
iogr-427	211	4	absorbing	absorbing	ADJ
iogr-427	211	5	boundary	boundary	NOUN
iogr-427	211	6	begins	begin	VERB
iogr-427	211	7	to	to	PART
iogr-427	211	8	dominate	dominate	VERB
iogr-427	211	9	,	,	PUNCT
iogr-427	211	10	the	the	DET
iogr-427	211	11	undertaking	undertaking	NOUN
iogr-427	211	12	diffusion	diffusion	NOUN
iogr-427	211	13	is	be	AUX
iogr-427	211	14	overwhelmingly	overwhelmingly	ADV
iogr-427	211	15	affected	affect	VERB
iogr-427	211	16	and	and	CCONJ
iogr-427	211	17	even	even	ADV
iogr-427	211	18	totally	totally	ADV
iogr-427	211	19	hidden	hide	VERB
iogr-427	211	20	.	.	PUNCT
iogr-427	212	1	these	these	DET
iogr-427	212	2	two	two	NUM
iogr-427	212	3	patterns	pattern	NOUN
iogr-427	212	4	are	be	AUX
iogr-427	212	5	kind	kind	ADV
iogr-427	212	6	of	of	ADV
iogr-427	212	7	intuitive	intuitive	ADJ
iogr-427	212	8	for	for	ADP
iogr-427	212	9	a	a	DET
iogr-427	212	10	flow	flow	NOUN
iogr-427	212	11	into	into	ADP
iogr-427	212	12	hydraulic	hydraulic	ADJ
iogr-427	212	13	fractures	fracture	NOUN
iogr-427	212	14	(	(	PUNCT
iogr-427	212	15	the	the	DET
iogr-427	212	16	absorbing	absorb	VERB
iogr-427	212	17	nodes	node	NOUN
iogr-427	212	18	)	)	PUNCT
iogr-427	212	19	.	.	PUNCT
iogr-427	213	1	we	we	PRON
iogr-427	213	2	feel	feel	VERB
iogr-427	213	3	that	that	SCONJ
iogr-427	213	4	more	more	ADJ
iogr-427	213	5	complex	complex	ADJ
iogr-427	213	6	patterns	pattern	NOUN
iogr-427	213	7	can	can	AUX
iogr-427	213	8	be	be	AUX
iogr-427	213	9	expected	expect	VERB
iogr-427	213	10	in	in	ADP
iogr-427	213	11	some	some	DET
iogr-427	213	12	highly	highly	ADV
iogr-427	213	13	heterogeneous	heterogeneous	ADJ
iogr-427	213	14	formations	formation	NOUN
iogr-427	213	15	,	,	PUNCT
iogr-427	213	16	possibly	possibly	ADV
iogr-427	213	17	alternating	alternate	VERB
iogr-427	213	18	subdiffusion	subdiffusion	NOUN
iogr-427	213	19	and	and	CCONJ
iogr-427	213	20	superdiffusion	superdiffusion	NOUN
iogr-427	213	21	time	time	NOUN
iogr-427	213	22	periods	period	NOUN
iogr-427	213	23	.	.	PUNCT
iogr-427	214	1	based	base	VERB
iogr-427	214	2	on	on	ADP
iogr-427	214	3	our	our	PRON
iogr-427	214	4	prior	prior	ADJ
iogr-427	214	5	discussions	discussion	NOUN
iogr-427	214	6	,	,	PUNCT
iogr-427	214	7	we	we	PRON
iogr-427	214	8	now	now	ADV
iogr-427	214	9	try	try	VERB
iogr-427	214	10	to	to	PART
iogr-427	214	11	answer	answer	VERB
iogr-427	214	12	our	our	PRON
iogr-427	214	13	major	major	ADJ
iogr-427	214	14	question	question	NOUN
iogr-427	214	15	:	:	PUNCT
iogr-427	214	16	is	be	AUX
iogr-427	214	17	it	it	PRON
iogr-427	214	18	valid	valid	ADJ
iogr-427	214	19	enough	enough	ADV
iogr-427	214	20	to	to	PART
iogr-427	214	21	apply	apply	VERB
iogr-427	214	22	the	the	DET
iogr-427	214	23	classical	classical	ADJ
iogr-427	214	24	diffusivity	diffusivity	NOUN
iogr-427	214	25	equation	equation	NOUN
iogr-427	214	26	on	on	ADP
iogr-427	214	27	the	the	DET
iogr-427	214	28	reservoir	reservoir	NOUN
iogr-427	214	29	scale	scale	NOUN
iogr-427	214	30	to	to	PART
iogr-427	214	31	model	model	VERB
iogr-427	214	32	single	single	ADJ
iogr-427	214	33	-	-	PUNCT
iogr-427	214	34	phase	phase	NOUN
iogr-427	214	35	flow	flow	NOUN
iogr-427	214	36	and	and	CCONJ
iogr-427	214	37	to	to	PART
iogr-427	214	38	analyze	analyze	VERB
iogr-427	214	39	the	the	DET
iogr-427	214	40	production	production	NOUN
iogr-427	214	41	?	?	PUNCT
iogr-427	215	1	in	in	ADP
iogr-427	215	2	our	our	PRON
iogr-427	215	3	opinion	opinion	NOUN
iogr-427	215	4	,	,	PUNCT
iogr-427	215	5	the	the	DET
iogr-427	215	6	diffusion	diffusion	NOUN
iogr-427	215	7	pattern	pattern	NOUN
iogr-427	215	8	classification	classification	NOUN
iogr-427	215	9	provides	provide	VERB
iogr-427	215	10	a	a	DET
iogr-427	215	11	perspective	perspective	NOUN
iogr-427	215	12	for	for	ADP
iogr-427	215	13	the	the	DET
iogr-427	215	14	answer	answer	NOUN
iogr-427	215	15	.	.	PUNCT
iogr-427	216	1	looking	look	VERB
iogr-427	216	2	back	back	ADV
iogr-427	216	3	again	again	ADV
iogr-427	216	4	at	at	ADP
iogr-427	216	5	case	case	NOUN
iogr-427	216	6	0	0	NUM
iogr-427	216	7	,	,	PUNCT
iogr-427	216	8	we	we	PRON
iogr-427	216	9	make	make	VERB
iogr-427	216	10	a	a	DET
iogr-427	216	11	tangential	tangential	ADJ
iogr-427	216	12	line	line	NOUN
iogr-427	216	13	(	(	PUNCT
iogr-427	216	14	the	the	DET
iogr-427	216	15	horizontal	horizontal	ADJ
iogr-427	216	16	black	black	ADJ
iogr-427	216	17	dash	dash	NOUN
iogr-427	216	18	line	line	NOUN
iogr-427	216	19	)	)	PUNCT
iogr-427	216	20	from	from	ADP
iogr-427	216	21	the	the	DET
iogr-427	216	22	final	final	ADJ
iogr-427	216	23	plateau	plateau	NOUN
iogr-427	216	24	of	of	ADP
iogr-427	216	25	the	the	DET
iogr-427	216	26	curve	curve	NOUN
iogr-427	216	27	,	,	PUNCT
iogr-427	216	28	and	and	CCONJ
iogr-427	216	29	the	the	DET
iogr-427	216	30	tangential	tangential	ADJ
iogr-427	216	31	point	point	NOUN
iogr-427	216	32	and	and	CCONJ
iogr-427	216	33	the	the	DET
iogr-427	216	34	intersection	intersection	NOUN
iogr-427	216	35	point	point	NOUN
iogr-427	216	36	with	with	ADP
iogr-427	216	37	the	the	DET
iogr-427	216	38	unite	unite	NOUN
iogr-427	216	39	-	-	PUNCT
iogr-427	216	40	slope	slope	NOUN
iogr-427	216	41	trendline	trendline	NOUN
iogr-427	216	42	both	both	PRON
iogr-427	216	43	correspond	correspond	VERB
iogr-427	216	44	to	to	ADP
iogr-427	216	45	a	a	DET
iogr-427	216	46	time	time	NOUN
iogr-427	216	47	(	(	PUNCT
iogr-427	216	48	the	the	DET
iogr-427	216	49	vertical	vertical	ADJ
iogr-427	216	50	black	black	ADJ
iogr-427	216	51	dash	dash	NOUN
iogr-427	216	52	lines	line	NOUN
iogr-427	216	53	)	)	PUNCT
iogr-427	216	54	.	.	PUNCT
iogr-427	217	1	not	not	PART
iogr-427	217	2	so	so	ADV
iogr-427	217	3	surprisingly	surprisingly	ADV
iogr-427	217	4	,	,	PUNCT
iogr-427	217	5	we	we	PRON
iogr-427	217	6	find	find	VERB
iogr-427	217	7	that	that	SCONJ
iogr-427	217	8	in	in	ADP
iogr-427	217	9	the	the	DET
iogr-427	217	10	normal	normal	ADJ
iogr-427	217	11	diffusion	diffusion	NOUN
iogr-427	217	12	case	case	NOUN
iogr-427	217	13	,	,	PUNCT
iogr-427	217	14	the	the	DET
iogr-427	217	15	differences	difference	NOUN
iogr-427	217	16	between	between	ADP
iogr-427	217	17	these	these	DET
iogr-427	217	18	two	two	NUM
iogr-427	217	19	times	time	NOUN
iogr-427	217	20	for	for	ADP
iogr-427	217	21	different	different	ADJ
iogr-427	217	22	nodes	node	NOUN
iogr-427	217	23	are	be	AUX
iogr-427	217	24	always	always	ADV
iogr-427	217	25	around	around	ADV
iogr-427	217	26	1	1	NUM
iogr-427	217	27	log	log	NOUN
iogr-427	217	28	cycle	cycle	NOUN
iogr-427	217	29	.	.	PUNCT
iogr-427	218	1	so	so	ADV
iogr-427	218	2	,	,	PUNCT
iogr-427	218	3	this	this	PRON
iogr-427	218	4	can	can	AUX
iogr-427	218	5	serve	serve	VERB
iogr-427	218	6	as	as	ADP
iogr-427	218	7	a	a	DET
iogr-427	218	8	standard	standard	NOUN
iogr-427	218	9	to	to	PART
iogr-427	218	10	tell	tell	VERB
iogr-427	218	11	the	the	DET
iogr-427	218	12	validity	validity	NOUN
iogr-427	218	13	of	of	ADP
iogr-427	218	14	the	the	DET
iogr-427	218	15	averaged	averaged	ADJ
iogr-427	218	16	model	model	NOUN
iogr-427	218	17	(	(	PUNCT
iogr-427	218	18	or	or	CCONJ
iogr-427	218	19	homogenization	homogenization	NOUN
iogr-427	218	20	)	)	PUNCT
iogr-427	218	21	with	with	ADP
iogr-427	218	22	the	the	DET
iogr-427	218	23	classical	classical	ADJ
iogr-427	218	24	diffusivity	diffusivity	NOUN
iogr-427	218	25	equation	equation	NOUN
iogr-427	218	26	.	.	PUNCT
iogr-427	219	1	the	the	DET
iogr-427	219	2	type	type	NOUN
iogr-427	219	3	1	1	NUM
iogr-427	219	4	pattern	pattern	NOUN
iogr-427	219	5	,	,	PUNCT
iogr-427	219	6	when	when	SCONJ
iogr-427	219	7	only	only	ADV
iogr-427	219	8	subdiffusion	subdiffusion	NOUN
iogr-427	219	9	happens	happen	VERB
iogr-427	219	10	,	,	PUNCT
iogr-427	219	11	obviously	obviously	ADV
iogr-427	219	12	enlarges	enlarge	VERB
iogr-427	219	13	this	this	DET
iogr-427	219	14	time	time	NOUN
iogr-427	219	15	difference	difference	NOUN
iogr-427	219	16	to	to	ADP
iogr-427	219	17	around	around	ADP
iogr-427	219	18	1	1	NUM
iogr-427	219	19	1	1	NUM
iogr-427	219	20	2⁄	2⁄	NUM
iogr-427	219	21	or	or	CCONJ
iogr-427	219	22	even	even	ADV
iogr-427	219	23	2	2	NUM
iogr-427	219	24	log	log	NOUN
iogr-427	219	25	cycles	cycle	NOUN
iogr-427	219	26	,	,	PUNCT
iogr-427	219	27	and	and	CCONJ
iogr-427	219	28	hence	hence	ADV
iogr-427	219	29	disproves	disprove	VERB
iogr-427	219	30	the	the	DET
iogr-427	219	31	validity	validity	NOUN
iogr-427	219	32	.	.	PUNCT
iogr-427	220	1	on	on	ADP
iogr-427	220	2	the	the	DET
iogr-427	220	3	other	other	ADJ
iogr-427	220	4	hand	hand	NOUN
iogr-427	220	5	,	,	PUNCT
iogr-427	220	6	the	the	DET
iogr-427	220	7	superdiffusion	superdiffusion	NOUN
iogr-427	220	8	and	and	CCONJ
iogr-427	220	9	subdiffusion	subdiffusion	NOUN
iogr-427	220	10	in	in	ADP
iogr-427	220	11	type	type	NOUN
iogr-427	220	12	2	2	NUM
iogr-427	220	13	pattern	pattern	NOUN
iogr-427	220	14	counteract	counteract	VERB
iogr-427	220	15	with	with	ADP
iogr-427	220	16	each	each	DET
iogr-427	220	17	other	other	ADJ
iogr-427	220	18	to	to	ADP
iogr-427	220	19	some	some	DET
iogr-427	220	20	extent	extent	NOUN
iogr-427	220	21	and	and	CCONJ
iogr-427	220	22	can	can	AUX
iogr-427	220	23	lead	lead	VERB
iogr-427	220	24	to	to	ADP
iogr-427	220	25	the	the	DET
iogr-427	220	26	time	time	NOUN
iogr-427	220	27	difference	difference	NOUN
iogr-427	220	28	around	around	ADP
iogr-427	220	29	1	1	NUM
iogr-427	220	30	log	log	NOUN
iogr-427	220	31	cycle	cycle	NOUN
iogr-427	220	32	,	,	PUNCT
iogr-427	220	33	such	such	ADJ
iogr-427	220	34	as	as	ADP
iogr-427	220	35	node	node	NOUN
iogr-427	220	36	150	150	NUM
iogr-427	220	37	in	in	ADP
iogr-427	220	38	case	case	NOUN
iogr-427	220	39	1	1	NUM
iogr-427	220	40	(	(	PUNCT
iogr-427	220	41	figure	figure	NOUN
iogr-427	220	42	8)	8)	NUM
iogr-427	220	43	,	,	PUNCT
iogr-427	220	44	node	node	NOUN
iogr-427	220	45	7	7	NUM
iogr-427	220	46	,	,	PUNCT
iogr-427	220	47	node	node	NOUN
iogr-427	220	48	377	377	NUM
iogr-427	220	49	in	in	ADP
iogr-427	220	50	case	case	NOUN
iogr-427	220	51	3	3	NUM
iogr-427	220	52	(	(	PUNCT
iogr-427	220	53	figure	figure	NOUN
iogr-427	220	54	14	14	NUM
iogr-427	220	55	)	)	PUNCT
iogr-427	220	56	,	,	PUNCT
iogr-427	220	57	and	and	CCONJ
iogr-427	220	58	node	node	VERB
iogr-427	220	59	340	340	NUM
iogr-427	220	60	in	in	ADP
iogr-427	220	61	case	case	NOUN
iogr-427	220	62	4	4	NUM
iogr-427	220	63	(	(	PUNCT
iogr-427	220	64	figure	figure	NOUN
iogr-427	220	65	17	17	NUM
iogr-427	220	66	)	)	PUNCT
iogr-427	220	67	.	.	PUNCT
iogr-427	221	1	so	so	ADV
iogr-427	221	2	,	,	PUNCT
iogr-427	221	3	if	if	SCONJ
iogr-427	221	4	both	both	DET
iogr-427	221	5	type	type	NOUN
iogr-427	221	6	of	of	ADP
iogr-427	221	7	nodes	node	NOUN
iogr-427	221	8	exist	exist	VERB
iogr-427	221	9	in	in	ADP
iogr-427	221	10	a	a	DET
iogr-427	221	11	situation	situation	NOUN
iogr-427	221	12	,	,	PUNCT
iogr-427	221	13	we	we	PRON
iogr-427	221	14	should	should	AUX
iogr-427	221	15	determine	determine	VERB
iogr-427	221	16	or	or	CCONJ
iogr-427	221	17	estimate	estimate	VERB
iogr-427	221	18	which	which	DET
iogr-427	221	19	type	type	NOUN
iogr-427	221	20	dominates	dominate	VERB
iogr-427	221	21	.	.	PUNCT
iogr-427	222	1	it	it	PRON
iogr-427	222	2	would	would	AUX
iogr-427	222	3	require	require	VERB
iogr-427	222	4	massive	massive	ADJ
iogr-427	222	5	simulation	simulation	NOUN
iogr-427	222	6	conducted	conduct	VERB
iogr-427	222	7	,	,	PUNCT
iogr-427	222	8	or	or	CCONJ
iogr-427	222	9	some	some	DET
iogr-427	222	10	advanced	advanced	ADJ
iogr-427	222	11	statistical	statistical	ADJ
iogr-427	222	12	tool	tool	NOUN
iogr-427	222	13	employed	employ	VERB
iogr-427	222	14	.	.	PUNCT
iogr-427	223	1	however	however	ADV
iogr-427	223	2	,	,	PUNCT
iogr-427	223	3	type	type	NOUN
iogr-427	223	4	2	2	NUM
iogr-427	223	5	pattern	pattern	NOUN
iogr-427	223	6	can	can	AUX
iogr-427	223	7	also	also	ADV
iogr-427	223	8	lead	lead	VERB
iogr-427	223	9	to	to	ADP
iogr-427	223	10	confusion	confusion	NOUN
iogr-427	223	11	by	by	ADP
iogr-427	223	12	substantially	substantially	ADV
iogr-427	223	13	shortening	shorten	VERB
iogr-427	223	14	the	the	DET
iogr-427	223	15	time	time	NOUN
iogr-427	223	16	difference	difference	NOUN
iogr-427	223	17	,	,	PUNCT
iogr-427	223	18	which	which	PRON
iogr-427	223	19	displays	display	VERB
iogr-427	223	20	a	a	DET
iogr-427	223	21	superdiffusion	superdiffusion	NOUN
iogr-427	223	22	on	on	ADP
iogr-427	223	23	average	average	ADJ
iogr-427	223	24	,	,	PUNCT
iogr-427	223	25	like	like	ADP
iogr-427	223	26	the	the	DET
iogr-427	223	27	node	node	NOUN
iogr-427	223	28	357	357	NUM
iogr-427	223	29	,	,	PUNCT
iogr-427	223	30	542	542	NUM
iogr-427	223	31	,	,	PUNCT
iogr-427	223	32	801	801	NUM
iogr-427	223	33	in	in	ADP
iogr-427	223	34	case	case	NOUN
iogr-427	223	35	1	1	NUM
iogr-427	223	36	(	(	PUNCT
iogr-427	223	37	figure	figure	NOUN
iogr-427	223	38	8)	8)	NUM
iogr-427	223	39	,	,	PUNCT
iogr-427	223	40	node	node	NOUN
iogr-427	223	41	1031	1031	NUM
iogr-427	223	42	in	in	ADP
iogr-427	223	43	case	case	NOUN
iogr-427	223	44	2	2	NUM
iogr-427	223	45	(	(	PUNCT
iogr-427	223	46	figure	figure	NOUN
iogr-427	223	47	11	11	NUM
iogr-427	223	48	)	)	PUNCT
iogr-427	223	49	,	,	PUNCT
iogr-427	223	50	node	node	NOUN
iogr-427	223	51	2181	2181	NUM
iogr-427	223	52	in	in	ADP
iogr-427	223	53	case	case	NOUN
iogr-427	223	54	4	4	NUM
iogr-427	223	55	(	(	PUNCT
iogr-427	223	56	figure	figure	NOUN
iogr-427	223	57	17	17	NUM
iogr-427	223	58	)	)	PUNCT
iogr-427	223	59	.	.	PUNCT
iogr-427	224	1	actually	actually	ADV
iogr-427	224	2	,	,	PUNCT
iogr-427	224	3	depending	depend	VERB
iogr-427	224	4	on	on	ADP
iogr-427	224	5	the	the	DET
iogr-427	224	6	relation	relation	NOUN
iogr-427	224	7	between	between	ADP
iogr-427	224	8	superdiffusion	superdiffusion	NOUN
iogr-427	224	9	,	,	PUNCT
iogr-427	224	10	subdiffusion	subdiffusion	NOUN
iogr-427	224	11	and	and	CCONJ
iogr-427	224	12	absorbing	absorb	VERB
iogr-427	224	13	boundary	boundary	ADJ
iogr-427	224	14	effects	effect	NOUN
iogr-427	224	15	,	,	PUNCT
iogr-427	224	16	type	type	NOUN
iogr-427	224	17	2	2	NUM
iogr-427	224	18	pattern	pattern	NOUN
iogr-427	224	19	can	can	AUX
iogr-427	224	20	manifest	manifest	VERB
iogr-427	224	21	itself	itself	PRON
iogr-427	224	22	as	as	ADP
iogr-427	224	23	“	"	PUNCT
iogr-427	224	24	apparent	apparent	ADJ
iogr-427	224	25	”	"	PUNCT
iogr-427	224	26	superdiffusion	superdiffusion	NOUN
iogr-427	224	27	,	,	PUNCT
iogr-427	224	28	subdiffusion	subdiffusion	NOUN
iogr-427	224	29	or	or	CCONJ
iogr-427	224	30	normal	normal	ADJ
iogr-427	224	31	diffusion	diffusion	NOUN
iogr-427	224	32	on	on	ADP
iogr-427	224	33	average	average	ADJ
iogr-427	224	34	.	.	PUNCT
iogr-427	225	1	the	the	DET
iogr-427	225	2	above	above	ADJ
iogr-427	225	3	observations	observation	NOUN
iogr-427	225	4	provide	provide	VERB
iogr-427	225	5	further	further	ADJ
iogr-427	225	6	supportive	supportive	ADJ
iogr-427	225	7	argument	argument	NOUN
iogr-427	225	8	for	for	ADP
iogr-427	225	9	using	use	VERB
iogr-427	225	10	the	the	DET
iogr-427	225	11	fractional	fractional	ADJ
iogr-427	225	12	diffusivity	diffusivity	NOUN
iogr-427	225	13	equation	equation	NOUN
iogr-427	225	14	for	for	ADP
iogr-427	225	15	modeling	model	VERB
iogr-427	225	16	flow	flow	NOUN
iogr-427	225	17	in	in	ADP
iogr-427	225	18	porous	porous	ADJ
iogr-427	225	19	media	medium	NOUN
iogr-427	225	20	and	and	CCONJ
iogr-427	225	21	production	production	NOUN
iogr-427	225	22	behavior	behavior	NOUN
iogr-427	225	23	in	in	ADP
iogr-427	225	24	highly	highly	ADV
iogr-427	225	25	fractured	fractured	ADJ
iogr-427	225	26	unconventional	unconventional	ADJ
iogr-427	225	27	reservoirs	reservoir	NOUN
iogr-427	225	28	.	.	PUNCT
iogr-427	226	1	in	in	ADP
iogr-427	226	2	the	the	DET
iogr-427	226	3	end	end	NOUN
iogr-427	226	4	,	,	PUNCT
iogr-427	226	5	we	we	PRON
iogr-427	226	6	can	can	AUX
iogr-427	226	7	also	also	ADV
iogr-427	226	8	make	make	VERB
iogr-427	226	9	some	some	DET
iogr-427	226	10	discussions	discussion	NOUN
iogr-427	226	11	about	about	ADP
iogr-427	226	12	the	the	DET
iogr-427	226	13	common	common	ADJ
iogr-427	226	14	dual	dual	ADJ
iogr-427	226	15	-	-	PUNCT
iogr-427	226	16	porosity	porosity	NOUN
iogr-427	226	17	model	model	NOUN
iogr-427	226	18	in	in	ADP
iogr-427	226	19	the	the	DET
iogr-427	226	20	perspective	perspective	NOUN
iogr-427	226	21	of	of	ADP
iogr-427	226	22	anomalous	anomalous	ADJ
iogr-427	226	23	diffusions	diffusion	NOUN
iogr-427	226	24	.	.	PUNCT
iogr-427	227	1	although	although	SCONJ
iogr-427	227	2	the	the	DET
iogr-427	227	3	dual	dual	ADJ
iogr-427	227	4	-	-	PUNCT
iogr-427	227	5	porosity	porosity	NOUN
iogr-427	227	6	model	model	NOUN
iogr-427	227	7	also	also	ADV
iogr-427	227	8	bears	bear	VERB
iogr-427	227	9	the	the	DET
iogr-427	227	10	two	two	NUM
iogr-427	227	11	flow	flow	NOUN
iogr-427	227	12	domain	domain	NOUN
iogr-427	227	13	assumptions	assumption	NOUN
iogr-427	227	14	(	(	PUNCT
iogr-427	227	15	fracture	fracture	NOUN
iogr-427	227	16	and	and	CCONJ
iogr-427	227	17	matrix	matrix	NOUN
iogr-427	227	18	)	)	PUNCT
iogr-427	227	19	,	,	PUNCT
iogr-427	227	20	it	it	PRON
iogr-427	227	21	implicitly	implicitly	ADV
iogr-427	227	22	makes	make	VERB
iogr-427	227	23	further	further	ADJ
iogr-427	227	24	assumption	assumption	NOUN
iogr-427	227	25	that	that	SCONJ
iogr-427	227	26	the	the	DET
iogr-427	227	27	flow	flow	NOUN
iogr-427	227	28	particles	particle	NOUN
iogr-427	227	29	in	in	ADP
iogr-427	227	30	the	the	DET
iogr-427	227	31	fracture	fracture	NOUN
iogr-427	227	32	domain	domain	NOUN
iogr-427	227	33	undertake	undertake	VERB
iogr-427	227	34	the	the	DET
iogr-427	227	35	diffusion	diffusion	NOUN
iogr-427	227	36	in	in	ADP
iogr-427	227	37	a	a	DET
iogr-427	227	38	euclidean	euclidean	ADJ
iogr-427	227	39	space	space	NOUN
iogr-427	227	40	.	.	PUNCT
iogr-427	228	1	thus	thus	ADV
iogr-427	228	2	,	,	PUNCT
iogr-427	228	3	although	although	SCONJ
iogr-427	228	4	it	it	PRON
iogr-427	228	5	considers	consider	VERB
iogr-427	228	6	matrix	matrix	NOUN
iogr-427	228	7	supplementing	supplementing	NOUN
iogr-427	228	8	fluid	fluid	NOUN
iogr-427	228	9	into	into	ADP
iogr-427	228	10	fracture	fracture	NOUN
iogr-427	228	11	correctly	correctly	ADV
iogr-427	228	12	,	,	PUNCT
iogr-427	228	13	it	it	PRON
iogr-427	228	14	still	still	ADV
iogr-427	228	15	fails	fail	VERB
iogr-427	228	16	to	to	PART
iogr-427	228	17	capture	capture	VERB
iogr-427	228	18	the	the	DET
iogr-427	228	19	heterogeneity	heterogeneity	NOUN
iogr-427	228	20	due	due	ADP
iogr-427	228	21	to	to	ADP
iogr-427	228	22	the	the	DET
iogr-427	228	23	geometry	geometry	NOUN
iogr-427	228	24	of	of	ADP
iogr-427	228	25	the	the	DET
iogr-427	228	26	fracture	fracture	PROPN
iogr-427	228	27	network	network	NOUN
iogr-427	228	28	,	,	PUNCT
iogr-427	228	29	which	which	PRON
iogr-427	228	30	may	may	AUX
iogr-427	228	31	limit	limit	VERB
iogr-427	228	32	the	the	DET
iogr-427	228	33	model	model	NOUN
iogr-427	228	34	’s	’s	PART
iogr-427	228	35	application	application	NOUN
iogr-427	228	36	in	in	ADP
iogr-427	228	37	highly	highly	ADV
iogr-427	228	38	fractured	fractured	ADJ
iogr-427	228	39	unconventional	unconventional	ADJ
iogr-427	228	40	reservoirs	reservoir	NOUN
iogr-427	228	41	.	.	PUNCT
iogr-427	229	1	21	21	NUM
iogr-427	229	2	conclusions	conclusion	NOUN
iogr-427	229	3	in	in	ADP
iogr-427	229	4	summary	summary	NOUN
iogr-427	229	5	,	,	PUNCT
iogr-427	229	6	based	base	VERB
iogr-427	229	7	on	on	ADP
iogr-427	229	8	our	our	PRON
iogr-427	229	9	simulation	simulation	NOUN
iogr-427	229	10	work	work	NOUN
iogr-427	229	11	and	and	CCONJ
iogr-427	229	12	the	the	DET
iogr-427	229	13	relevant	relevant	ADJ
iogr-427	229	14	discussions	discussion	NOUN
iogr-427	229	15	,	,	PUNCT
iogr-427	229	16	we	we	PRON
iogr-427	229	17	can	can	AUX
iogr-427	229	18	reach	reach	VERB
iogr-427	229	19	the	the	DET
iogr-427	229	20	following	follow	VERB
iogr-427	229	21	conclusions	conclusion	NOUN
iogr-427	229	22	:	:	PUNCT
iogr-427	230	1	1	1	X
iogr-427	230	2	.	.	X
iogr-427	230	3	the	the	DET
iogr-427	230	4	physical	physical	ADJ
iogr-427	230	5	background	background	NOUN
iogr-427	230	6	of	of	ADP
iogr-427	230	7	the	the	DET
iogr-427	230	8	single	single	ADJ
iogr-427	230	9	-	-	PUNCT
iogr-427	230	10	phase	phase	NOUN
iogr-427	230	11	diffusivity	diffusivity	NOUN
iogr-427	230	12	equation	equation	NOUN
iogr-427	230	13	is	be	AUX
iogr-427	230	14	revisited	revisit	VERB
iogr-427	230	15	.	.	PUNCT
iogr-427	231	1	combining	combine	VERB
iogr-427	231	2	the	the	DET
iogr-427	231	3	characteristics	characteristic	NOUN
iogr-427	231	4	of	of	ADP
iogr-427	231	5	single	single	ADJ
iogr-427	231	6	particle	particle	NOUN
iogr-427	231	7	diffusion	diffusion	NOUN
iogr-427	231	8	with	with	ADP
iogr-427	231	9	complex	complex	ADJ
iogr-427	231	10	fracture	fracture	NOUN
iogr-427	231	11	geometry	geometry	NOUN
iogr-427	231	12	,	,	PUNCT
iogr-427	231	13	it	it	PRON
iogr-427	231	14	is	be	AUX
iogr-427	231	15	indicated	indicate	VERB
iogr-427	231	16	that	that	SCONJ
iogr-427	231	17	anomalous	anomalous	ADJ
iogr-427	231	18	diffusion	diffusion	NOUN
iogr-427	231	19	phenomenon	phenomenon	NOUN
iogr-427	231	20	will	will	AUX
iogr-427	231	21	be	be	AUX
iogr-427	231	22	dominant	dominant	ADJ
iogr-427	231	23	on	on	ADP
iogr-427	231	24	the	the	DET
iogr-427	231	25	reservoir	reservoir	NOUN
iogr-427	231	26	scale	scale	NOUN
iogr-427	231	27	,	,	PUNCT
iogr-427	231	28	even	even	ADV
iogr-427	231	29	for	for	ADP
iogr-427	231	30	single	single	ADJ
iogr-427	231	31	phase	phase	NOUN
iogr-427	231	32	production	production	NOUN
iogr-427	231	33	behavior	behavior	NOUN
iogr-427	231	34	;	;	PUNCT
iogr-427	231	35	2	2	X
iogr-427	231	36	.	.	X
iogr-427	231	37	a	a	DET
iogr-427	231	38	markov	markov	NOUN
iogr-427	231	39	-	-	PUNCT
iogr-427	231	40	chain	chain	NOUN
iogr-427	231	41	-	-	PUNCT
iogr-427	231	42	based	base	VERB
iogr-427	231	43	model	model	NOUN
iogr-427	231	44	is	be	AUX
iogr-427	231	45	presented	present	VERB
iogr-427	231	46	to	to	PART
iogr-427	231	47	model	model	VERB
iogr-427	231	48	single	single	ADJ
iogr-427	231	49	particle	particle	NOUN
iogr-427	231	50	diffusion	diffusion	NOUN
iogr-427	231	51	and	and	CCONJ
iogr-427	231	52	it	it	PRON
iogr-427	231	53	is	be	AUX
iogr-427	231	54	demonstrated	demonstrate	VERB
iogr-427	231	55	that	that	SCONJ
iogr-427	231	56	anomalous	anomalous	ADJ
iogr-427	231	57	diffusion	diffusion	NOUN
iogr-427	231	58	characteristics	characteristic	NOUN
iogr-427	231	59	emerge	emerge	VERB
iogr-427	231	60	from	from	ADP
iogr-427	231	61	considering	consider	VERB
iogr-427	231	62	normal	normal	ADJ
iogr-427	231	63	diffusion	diffusion	NOUN
iogr-427	231	64	on	on	ADP
iogr-427	231	65	a	a	DET
iogr-427	231	66	graph	graph	NOUN
iogr-427	231	67	that	that	PRON
iogr-427	231	68	is	be	AUX
iogr-427	231	69	embedded	embed	VERB
iogr-427	231	70	in	in	ADP
iogr-427	231	71	a	a	DET
iogr-427	231	72	2	2	NUM
iogr-427	231	73	-	-	PUNCT
iogr-427	231	74	d	d	ADJ
iogr-427	231	75	euclidean	euclidean	ADJ
iogr-427	231	76	space	space	NOUN
iogr-427	231	77	;	;	PUNCT
iogr-427	232	1	3	3	X
iogr-427	232	2	.	.	PUNCT
iogr-427	232	3	according	accord	VERB
iogr-427	232	4	to	to	ADP
iogr-427	232	5	the	the	DET
iogr-427	232	6	simulation	simulation	NOUN
iogr-427	232	7	results	result	NOUN
iogr-427	232	8	,	,	PUNCT
iogr-427	232	9	two	two	NUM
iogr-427	232	10	known	know	VERB
iogr-427	232	11	types	type	NOUN
iogr-427	232	12	of	of	ADP
iogr-427	232	13	diffusion	diffusion	NOUN
iogr-427	232	14	pattern	pattern	NOUN
iogr-427	232	15	(	(	PUNCT
iogr-427	232	16	subdiffusion	subdiffusion	NOUN
iogr-427	232	17	and	and	CCONJ
iogr-427	232	18	superdiffusion	superdiffusion	NOUN
iogr-427	232	19	)	)	PUNCT
iogr-427	232	20	may	may	AUX
iogr-427	232	21	rise	rise	VERB
iogr-427	232	22	from	from	ADP
iogr-427	232	23	the	the	DET
iogr-427	232	24	same	same	ADJ
iogr-427	232	25	graph	graph	NOUN
iogr-427	232	26	geometry	geometry	NOUN
iogr-427	232	27	(	(	PUNCT
iogr-427	232	28	possibly	possibly	ADV
iogr-427	232	29	alternating	alternate	VERB
iogr-427	232	30	in	in	ADP
iogr-427	232	31	time	time	NOUN
iogr-427	232	32	)	)	PUNCT
iogr-427	232	33	;	;	PUNCT
iogr-427	233	1	4	4	X
iogr-427	233	2	.	.	X
iogr-427	233	3	the	the	DET
iogr-427	233	4	fractional	fractional	ADJ
iogr-427	233	5	diffusivity	diffusivity	NOUN
iogr-427	233	6	equation	equation	NOUN
iogr-427	233	7	have	have	VERB
iogr-427	233	8	advantages	advantage	NOUN
iogr-427	233	9	in	in	ADP
iogr-427	233	10	characterizing	characterize	VERB
iogr-427	233	11	flow	flow	NOUN
iogr-427	233	12	and	and	CCONJ
iogr-427	233	13	production	production	NOUN
iogr-427	233	14	in	in	ADP
iogr-427	233	15	highly	highly	ADV
iogr-427	233	16	fractured	fractured	ADJ
iogr-427	233	17	unconventional	unconventional	ADJ
iogr-427	233	18	reservoirs	reservoir	NOUN
iogr-427	233	19	.	.	PUNCT
iogr-427	234	1	conflicts	conflict	NOUN
iogr-427	234	2	of	of	ADP
iogr-427	234	3	interest	interest	NOUN
iogr-427	234	4	the	the	DET
iogr-427	234	5	author(s	author(s	NOUN
iogr-427	234	6	)	)	PUNCT
iogr-427	234	7	declare	declare	VERB
iogr-427	234	8	that	that	SCONJ
iogr-427	234	9	they	they	PRON
iogr-427	234	10	have	have	VERB
iogr-427	234	11	no	no	DET
iogr-427	234	12	conflicting	conflict	VERB
iogr-427	234	13	interests	interest	NOUN
iogr-427	234	14	.	.	PUNCT
iogr-427	235	1	nomenclature	nomenclature	NOUN
iogr-427	235	2	𝛼	𝛼	NOUN
iogr-427	235	3	=	=	NOUN
iogr-427	235	4	diffusivity	diffusivity	NOUN
iogr-427	235	5	exponent	exponent	NOUN
iogr-427	235	6	𝜂	𝜂	NOUN
iogr-427	235	7	=	=	SYM
iogr-427	235	8	hydraulic	hydraulic	ADJ
iogr-427	235	9	diffusivity	diffusivity	NOUN
iogr-427	235	10	coefficient	coefficient	NOUN
iogr-427	235	11	,	,	PUNCT
iogr-427	235	12	ft2	ft2	PROPN
iogr-427	235	13	/	/	SYM
iogr-427	235	14	sec	sec	PROPN
iogr-427	235	15	𝜇	𝜇	ADP
iogr-427	235	16	=	=	NOUN
iogr-427	235	17	viscosity	viscosity	NOUN
iogr-427	235	18	,	,	PUNCT
iogr-427	235	19	cp	cp	INTJ
iogr-427	235	20	𝜙	𝜙	NOUN
iogr-427	235	21	=	=	PUNCT
iogr-427	235	22	porosity	porosity	NOUN
iogr-427	235	23	𝑎	𝑎	X
iogr-427	235	24	=	=	SYM
iogr-427	235	25	characteristic	characteristic	ADJ
iogr-427	235	26	length	length	NOUN
iogr-427	235	27	,	,	PUNCT
iogr-427	235	28	ft	ft	PROPN
iogr-427	235	29	𝐵	𝐵	NOUN
iogr-427	235	30	=	=	NOUN
iogr-427	235	31	formation	formation	NOUN
iogr-427	235	32	volume	volume	NOUN
iogr-427	235	33	factor	factor	NOUN
iogr-427	235	34	,	,	PUNCT
iogr-427	235	35	rb	rb	PROPN
iogr-427	235	36	/	/	SYM
iogr-427	235	37	stb	stb	NOUN
iogr-427	236	1	𝑏	𝑏	NOUN
iogr-427	236	2	=	=	PUNCT
iogr-427	236	3	fracture	fracture	PROPN
iogr-427	236	4	aperture	aperture	NOUN
iogr-427	236	5	,	,	PUNCT
iogr-427	236	6	ft	ft	PROPN
iogr-427	236	7	𝐶	𝐶	PROPN
iogr-427	236	8	=	=	SYM
iogr-427	236	9	concentration	concentration	NOUN
iogr-427	236	10	,	,	PUNCT
iogr-427	236	11	mol	mol	NOUN
iogr-427	236	12	/	/	SYM
iogr-427	236	13	ft3	ft3	NOUN
iogr-427	236	14	𝑐𝑡	𝑐𝑡	NOUN
iogr-427	237	1	=	=	NOUN
iogr-427	237	2	total	total	ADJ
iogr-427	237	3	compressibility	compressibility	NOUN
iogr-427	237	4	,	,	PUNCT
iogr-427	237	5	psi-1	psi-1	PUNCT
iogr-427	237	6	𝐷	𝐷	NOUN
iogr-427	237	7	=	=	SYM
iogr-427	237	8	diffusivity	diffusivity	NOUN
iogr-427	237	9	coefficient	coefficient	NOUN
iogr-427	237	10	,	,	PUNCT
iogr-427	237	11	m2	m2	PROPN
iogr-427	237	12	/	/	SYM
iogr-427	237	13	s	s	PART
iogr-427	237	14	𝑑	𝑑	NOUN
iogr-427	237	15	=	=	SYM
iogr-427	237	16	euclidean	euclidean	ADJ
iogr-427	237	17	distance	distance	NOUN
iogr-427	237	18	between	between	ADP
iogr-427	237	19	to	to	ADP
iogr-427	237	20	nodes	node	NOUN
iogr-427	237	21	in	in	ADP
iogr-427	237	22	the	the	DET
iogr-427	237	23	geometric	geometric	ADJ
iogr-427	237	24	graph	graph	NOUN
iogr-427	237	25	,	,	PUNCT
iogr-427	237	26	ft	ft	NOUN
iogr-427	237	27	ℎ	ℎ	NOUN
iogr-427	237	28	=	=	SYM
iogr-427	237	29	formation	formation	NOUN
iogr-427	237	30	thickness	thickness	NOUN
iogr-427	237	31	,	,	PUNCT
iogr-427	237	32	ft	ft	ADP
iogr-427	237	33	𝑘	𝑘	NOUN
iogr-427	237	34	=	=	NOUN
iogr-427	237	35	permeability	permeability	NOUN
iogr-427	237	36	,	,	PUNCT
iogr-427	237	37	md	md	PROPN
iogr-427	237	38	𝑙	𝑙	NOUN
iogr-427	237	39	=	=	SYM
iogr-427	237	40	fracture	fracture	NOUN
iogr-427	237	41	length	length	NOUN
iogr-427	237	42	,	,	PUNCT
iogr-427	237	43	ft	ft	PROPN
iogr-427	237	44	𝑙𝑑	𝑙𝑑	NOUN
iogr-427	237	45	=	=	SYM
iogr-427	237	46	length	length	NOUN
iogr-427	237	47	of	of	ADP
iogr-427	237	48	the	the	DET
iogr-427	237	49	problem	problem	NOUN
iogr-427	237	50	domain	domain	NOUN
iogr-427	237	51	,	,	PUNCT
iogr-427	237	52	ft	ft	PRON
iogr-427	237	53	𝑁𝑖	𝑁𝑖	PROPN
iogr-427	237	54	=	=	PUNCT
iogr-427	237	55	the	the	DET
iogr-427	237	56	set	set	NOUN
iogr-427	237	57	of	of	ADP
iogr-427	237	58	the	the	DET
iogr-427	237	59	neighbor	neighbor	NOUN
iogr-427	237	60	states	state	NOUN
iogr-427	237	61	of	of	ADP
iogr-427	237	62	state	state	NOUN
iogr-427	237	63	𝑖	𝑖	SYM
iogr-427	237	64	𝑃	𝑃	NOUN
iogr-427	237	65	=	=	PUNCT
iogr-427	237	66	probability	probability	NOUN
iogr-427	237	67	𝑝	𝑝	NOUN
iogr-427	237	68	=	=	SYM
iogr-427	237	69	pressure	pressure	NOUN
iogr-427	237	70	,	,	PUNCT
iogr-427	237	71	psi	psi	NOUN
iogr-427	237	72	𝐐	𝐐	NOUN
iogr-427	237	73	=	=	PUNCT
iogr-427	237	74	transition	transition	NOUN
iogr-427	237	75	rate	rate	NOUN
iogr-427	237	76	matrix	matrix	NOUN
iogr-427	237	77	𝑞	𝑞	X
iogr-427	237	78	=	=	NOUN
iogr-427	237	79	transition	transition	NOUN
iogr-427	237	80	rate	rate	NOUN
iogr-427	237	81	,	,	PUNCT
iogr-427	237	82	1	1	NUM
iogr-427	237	83	/	/	SYM
iogr-427	237	84	sec	sec	PROPN
iogr-427	237	85	𝑟	𝑟	NOUN
iogr-427	237	86	=	=	SYM
iogr-427	237	87	partical	partical	ADJ
iogr-427	237	88	displacement	displacement	NOUN
iogr-427	237	89	,	,	PUNCT
iogr-427	237	90	ft	ft	PROPN
iogr-427	237	91	𝑆	𝑆	PROPN
iogr-427	237	92	=	=	PRON
iogr-427	237	93	the	the	DET
iogr-427	237	94	set	set	NOUN
iogr-427	237	95	of	of	ADP
iogr-427	237	96	all	all	DET
iogr-427	237	97	the	the	DET
iogr-427	237	98	nodes	node	NOUN
iogr-427	237	99	in	in	ADP
iogr-427	237	100	a	a	DET
iogr-427	237	101	graph	graph	NOUN
iogr-427	237	102	𝑡	𝑡	NOUN
iogr-427	237	103	=	=	NOUN
iogr-427	237	104	time	time	NOUN
iogr-427	237	105	,	,	PUNCT
iogr-427	237	106	sec	sec	PROPN
iogr-427	237	107	𝑣	𝑣	PRON
iogr-427	237	108	𝑑𝑠	𝑑𝑠	NOUN
iogr-427	237	109	=	=	SYM
iogr-427	237	110	vector	vector	NOUN
iogr-427	237	111	of	of	ADP
iogr-427	237	112	distant	distant	ADJ
iogr-427	237	113	square	square	NOUN
iogr-427	237	114	,	,	PUNCT
iogr-427	237	115	ft2	ft2	NOUN
iogr-427	237	116	𝑤𝑑	𝑤𝑑	NOUN
iogr-427	237	117	=	=	PUNCT
iogr-427	237	118	width	width	NOUN
iogr-427	237	119	of	of	ADP
iogr-427	237	120	the	the	DET
iogr-427	237	121	problem	problem	NOUN
iogr-427	237	122	domain	domain	NOUN
iogr-427	237	123	,	,	PUNCT
iogr-427	237	124	ft	ft	NOUN
iogr-427	237	125	𝑋	𝑋	NOUN
iogr-427	237	126	=	=	PUNCT
iogr-427	237	127	location	location	NOUN
iogr-427	237	128	/	/	SYM
iogr-427	237	129	state	state	NOUN
iogr-427	237	130	of	of	ADP
iogr-427	237	131	a	a	DET
iogr-427	237	132	particle	particle	NOUN
iogr-427	237	133	subscripts	subscript	VERB
iogr-427	237	134	𝑓	𝑓	PRON
iogr-427	237	135	=	=	PUNCT
iogr-427	237	136	fracture	fracture	NOUN
iogr-427	237	137	domain	domain	NOUN
iogr-427	237	138	𝑚	𝑚	NOUN
iogr-427	237	139	=	=	SYM
iogr-427	237	140	matrix	matrix	NOUN
iogr-427	237	141	domain	domain	NOUN
iogr-427	237	142	22	22	NUM
iogr-427	237	143	references	reference	NOUN
iogr-427	237	144	abdassah	abdassah	PROPN
iogr-427	237	145	,	,	PUNCT
iogr-427	237	146	d.	d.	PROPN
iogr-427	237	147	and	and	CCONJ
iogr-427	237	148	ershaghi	ershaghi	PROPN
iogr-427	237	149	,	,	PUNCT
iogr-427	237	150	i.	i.	PROPN
iogr-427	237	151	1986	1986	NUM
iogr-427	237	152	.	.	PUNCT
iogr-427	238	1	triple	triple	ADJ
iogr-427	238	2	-	-	PUNCT
iogr-427	238	3	porosity	porosity	NOUN
iogr-427	238	4	systems	system	NOUN
iogr-427	238	5	for	for	ADP
iogr-427	238	6	representing	represent	VERB
iogr-427	238	7	naturally	naturally	ADV
iogr-427	238	8	fractured	fractured	ADJ
iogr-427	238	9	reservoirs	reservoir	NOUN
iogr-427	238	10	.	.	PUNCT
iogr-427	239	1	spe	spe	PROPN
iogr-427	239	2	form	form	PROPN
iogr-427	239	3	eval	eval	PROPN
iogr-427	239	4	1(2	1(2	NUM
iogr-427	239	5	):	):	PUNCT
iogr-427	239	6	273	273	NUM
iogr-427	239	7	-	-	SYM
iogr-427	239	8	280	280	NUM
iogr-427	239	9	.	.	PUNCT
iogr-427	239	10	spe-13409	spe-13409	NOUN
iogr-427	239	11	-	-	PUNCT
iogr-427	239	12	pa	pa	PROPN
iogr-427	239	13	.	.	PROPN
iogr-427	239	14	adams	adams	PROPN
iogr-427	239	15	,	,	PUNCT
iogr-427	239	16	e.	e.	PROPN
iogr-427	239	17	e.	e.	PROPN
iogr-427	239	18	and	and	CCONJ
iogr-427	239	19	gelhar	gelhar	PROPN
iogr-427	239	20	,	,	PUNCT
iogr-427	239	21	l.	l.	PROPN
iogr-427	239	22	w.	w.	PROPN
iogr-427	239	23	1992	1992	NUM
iogr-427	239	24	.	.	PUNCT
iogr-427	240	1	field	field	NOUN
iogr-427	240	2	study	study	NOUN
iogr-427	240	3	of	of	ADP
iogr-427	240	4	dispersion	dispersion	NOUN
iogr-427	240	5	in	in	ADP
iogr-427	240	6	a	a	DET
iogr-427	240	7	heterogeneous	heterogeneous	ADJ
iogr-427	240	8	aquifer	aquifer	NOUN
iogr-427	240	9	:	:	PUNCT
iogr-427	240	10	2	2	X
iogr-427	240	11	.	.	X
iogr-427	240	12	spatial	spatial	ADJ
iogr-427	240	13	moments	moment	NOUN
iogr-427	240	14	analysis	analysis	NOUN
iogr-427	240	15	.	.	PUNCT
iogr-427	241	1	water	water	NOUN
iogr-427	241	2	resources	resource	NOUN
iogr-427	241	3	research	research	VERB
iogr-427	241	4	28(12	28(12	NUM
iogr-427	241	5	):	):	PUNCT
iogr-427	241	6	3293	3293	NUM
iogr-427	241	7	-	-	SYM
iogr-427	241	8	3307	3307	NUM
iogr-427	241	9	.	.	PUNCT
iogr-427	242	1	albinali	albinali	VERB
iogr-427	242	2	,	,	PUNCT
iogr-427	242	3	a.	a.	NOUN
iogr-427	242	4	and	and	CCONJ
iogr-427	242	5	ozkan	ozkan	PROPN
iogr-427	242	6	,	,	PUNCT
iogr-427	242	7	e.	e.	PROPN
iogr-427	242	8	2016a	2016a	PROPN
iogr-427	242	9	.	.	PUNCT
iogr-427	243	1	analytical	analytical	ADJ
iogr-427	243	2	modeling	modeling	NOUN
iogr-427	243	3	of	of	ADP
iogr-427	243	4	flow	flow	NOUN
iogr-427	243	5	in	in	ADP
iogr-427	243	6	highly	highly	ADV
iogr-427	243	7	disordered	disordered	ADJ
iogr-427	243	8	,	,	PUNCT
iogr-427	243	9	fractured	fractured	ADJ
iogr-427	243	10	nano	nano	NOUN
iogr-427	243	11	-	-	PUNCT
iogr-427	243	12	porous	porous	ADJ
iogr-427	243	13	reservoirs	reservoir	NOUN
iogr-427	243	14	.	.	PUNCT
iogr-427	244	1	paper	paper	NOUN
iogr-427	244	2	presented	present	VERB
iogr-427	244	3	at	at	ADP
iogr-427	244	4	the	the	DET
iogr-427	244	5	spe	spe	PROPN
iogr-427	244	6	western	western	ADJ
iogr-427	244	7	regional	regional	ADJ
iogr-427	244	8	meeting	meeting	NOUN
iogr-427	244	9	,	,	PUNCT
iogr-427	244	10	anchorage	anchorage	PROPN
iogr-427	244	11	,	,	PUNCT
iogr-427	244	12	alaska	alaska	PROPN
iogr-427	244	13	,	,	PUNCT
iogr-427	244	14	23	23	NUM
iogr-427	244	15	-	-	SYM
iogr-427	244	16	26	26	NUM
iogr-427	244	17	may	may	NOUN
iogr-427	244	18	.	.	PUNCT
iogr-427	245	1	spe-180440ms	spe-180440ms	NOUN
iogr-427	245	2	.	.	PUNCT
iogr-427	245	3	albinali	albinali	VERB
iogr-427	245	4	,	,	PUNCT
iogr-427	245	5	a.	a.	NOUN
iogr-427	245	6	and	and	CCONJ
iogr-427	245	7	ozkan	ozkan	PROPN
iogr-427	245	8	,	,	PUNCT
iogr-427	245	9	e.	e.	PROPN
iogr-427	245	10	2016b	2016b	PROPN
iogr-427	245	11	.	.	PUNCT
iogr-427	246	1	anomalous	anomalous	ADJ
iogr-427	246	2	diffusion	diffusion	NOUN
iogr-427	246	3	approach	approach	NOUN
iogr-427	246	4	and	and	CCONJ
iogr-427	246	5	field	field	NOUN
iogr-427	246	6	application	application	NOUN
iogr-427	246	7	for	for	ADP
iogr-427	246	8	fractured	fractured	ADJ
iogr-427	246	9	nano	nano	NOUN
iogr-427	246	10	-	-	PUNCT
iogr-427	246	11	porous	porous	ADJ
iogr-427	246	12	reservoirs	reservoir	NOUN
iogr-427	246	13	.	.	PUNCT
iogr-427	247	1	paper	paper	NOUN
iogr-427	247	2	presented	present	VERB
iogr-427	247	3	at	at	ADP
iogr-427	247	4	the	the	DET
iogr-427	247	5	spe	spe	PROPN
iogr-427	247	6	annual	annual	ADJ
iogr-427	247	7	technical	technical	ADJ
iogr-427	247	8	conference	conference	NOUN
iogr-427	247	9	and	and	CCONJ
iogr-427	247	10	exhibition	exhibition	NOUN
iogr-427	247	11	,	,	PUNCT
iogr-427	247	12	dubai	dubai	PROPN
iogr-427	247	13	,	,	PUNCT
iogr-427	247	14	uae	uae	PROPN
iogr-427	247	15	,	,	PUNCT
iogr-427	247	16	26	26	NUM
iogr-427	247	17	-	-	SYM
iogr-427	247	18	28	28	NUM
iogr-427	247	19	september	september	PROPN
iogr-427	247	20	.	.	PUNCT
iogr-427	248	1	spe-181255	spe-181255	PROPN
iogr-427	248	2	-	-	PUNCT
iogr-427	248	3	ms	ms	PROPN
iogr-427	248	4	.	.	PROPN
iogr-427	248	5	bello	bello	PROPN
iogr-427	248	6	,	,	PUNCT
iogr-427	248	7	r.o	r.o	PROPN
iogr-427	248	8	.	.	PROPN
iogr-427	248	9	and	and	CCONJ
iogr-427	248	10	wattenbarger	wattenbarger	NOUN
iogr-427	248	11	,	,	PUNCT
iogr-427	248	12	r.a	r.a	PROPN
iogr-427	248	13	.	.	PROPN
iogr-427	248	14	2008	2008	NUM
iogr-427	248	15	.	.	PUNCT
iogr-427	249	1	rate	rate	NOUN
iogr-427	249	2	transient	transient	ADJ
iogr-427	249	3	analysis	analysis	NOUN
iogr-427	249	4	in	in	ADP
iogr-427	249	5	naturally	naturally	ADV
iogr-427	249	6	fractured	fracture	VERB
iogr-427	249	7	shale	shale	NOUN
iogr-427	249	8	gas	gas	NOUN
iogr-427	249	9	reservoirs	reservoir	NOUN
iogr-427	249	10	.	.	PUNCT
iogr-427	250	1	paper	paper	NOUN
iogr-427	250	2	presented	present	VERB
iogr-427	250	3	at	at	ADP
iogr-427	250	4	the	the	DET
iogr-427	250	5	cipc	cipc	PROPN
iogr-427	250	6	/	/	SYM
iogr-427	250	7	spe	spe	PROPN
iogr-427	250	8	gas	gas	NOUN
iogr-427	250	9	technology	technology	NOUN
iogr-427	250	10	symposium	symposium	NOUN
iogr-427	250	11	2008	2008	NUM
iogr-427	250	12	joint	joint	ADJ
iogr-427	250	13	conference	conference	NOUN
iogr-427	250	14	,	,	PUNCT
iogr-427	250	15	calgary	calgary	PROPN
iogr-427	250	16	,	,	PUNCT
iogr-427	250	17	alberta	alberta	PROPN
iogr-427	250	18	,	,	PUNCT
iogr-427	250	19	canada	canada	PROPN
iogr-427	250	20	,	,	PUNCT
iogr-427	250	21	16	16	NUM
iogr-427	250	22	-	-	SYM
iogr-427	250	23	19	19	NUM
iogr-427	250	24	june	june	PROPN
iogr-427	250	25	.	.	PUNCT
iogr-427	251	1	spe-114591	spe-114591	PROPN
iogr-427	251	2	-	-	PUNCT
iogr-427	251	3	ms	ms	PROPN
iogr-427	251	4	.	.	PROPN
iogr-427	251	5	belyadi	belyadi	PROPN
iogr-427	251	6	,	,	PUNCT
iogr-427	251	7	h.	h.	PROPN
iogr-427	251	8	,	,	PUNCT
iogr-427	251	9	yuyi	yuyi	PROPN
iogr-427	251	10	,	,	PUNCT
iogr-427	251	11	s.	s.	PROPN
iogr-427	251	12	,	,	PUNCT
iogr-427	251	13	and	and	CCONJ
iogr-427	251	14	junca	junca	NOUN
iogr-427	251	15	-	-	PUNCT
iogr-427	251	16	laplace	laplace	NOUN
iogr-427	251	17	,	,	PUNCT
iogr-427	251	18	j.	j.	PROPN
iogr-427	251	19	p.	p.	PROPN
iogr-427	251	20	2015	2015	NUM
iogr-427	251	21	.	.	PUNCT
iogr-427	252	1	production	production	NOUN
iogr-427	252	2	analysis	analysis	NOUN
iogr-427	252	3	using	use	VERB
iogr-427	252	4	rate	rate	NOUN
iogr-427	252	5	transient	transient	ADJ
iogr-427	252	6	analysis	analysis	NOUN
iogr-427	252	7	.	.	PUNCT
iogr-427	253	1	paper	paper	NOUN
iogr-427	253	2	presented	present	VERB
iogr-427	253	3	at	at	ADP
iogr-427	253	4	the	the	DET
iogr-427	253	5	spe	spe	PROPN
iogr-427	253	6	eastern	eastern	ADJ
iogr-427	253	7	regional	regional	ADJ
iogr-427	253	8	meeting	meeting	NOUN
iogr-427	253	9	,	,	PUNCT
iogr-427	253	10	morgantown	morgantown	PROPN
iogr-427	253	11	,	,	PUNCT
iogr-427	253	12	west	west	PROPN
iogr-427	253	13	virginia	virginia	PROPN
iogr-427	253	14	,	,	PUNCT
iogr-427	253	15	13	13	NUM
iogr-427	253	16	-	-	SYM
iogr-427	253	17	15	15	NUM
iogr-427	253	18	october	october	PROPN
iogr-427	253	19	.	.	PUNCT
iogr-427	254	1	spe-177293	spe-177293	PROPN
iogr-427	254	2	-	-	PUNCT
iogr-427	254	3	ms	ms	PROPN
iogr-427	254	4	.	.	PROPN
iogr-427	254	5	berkowitz	berkowitz	PROPN
iogr-427	254	6	,	,	PUNCT
iogr-427	254	7	b.	b.	PROPN
iogr-427	254	8	and	and	CCONJ
iogr-427	254	9	scher	scher	PROPN
iogr-427	254	10	,	,	PUNCT
iogr-427	254	11	h.	h.	PROPN
iogr-427	254	12	1997	1997	NUM
iogr-427	254	13	.	.	PUNCT
iogr-427	255	1	anomalous	anomalous	ADJ
iogr-427	255	2	transport	transport	NOUN
iogr-427	255	3	in	in	ADP
iogr-427	255	4	random	random	ADJ
iogr-427	255	5	fracture	fracture	NOUN
iogr-427	255	6	networks	network	NOUN
iogr-427	255	7	.	.	PUNCT
iogr-427	256	1	physical	physical	ADJ
iogr-427	256	2	review	review	NOUN
iogr-427	256	3	letters	letter	VERB
iogr-427	256	4	79	79	NUM
iogr-427	256	5	(	(	PUNCT
iogr-427	256	6	20	20	NUM
iogr-427	256	7	):	):	SYM
iogr-427	256	8	4038	4038	NUM
iogr-427	256	9	.	.	PUNCT
iogr-427	257	1	berkowitz	berkowitz	PROPN
iogr-427	257	2	,	,	PUNCT
iogr-427	257	3	b.	b.	PROPN
iogr-427	257	4	and	and	CCONJ
iogr-427	257	5	scher	scher	PROPN
iogr-427	257	6	,	,	PUNCT
iogr-427	257	7	h.	h.	PROPN
iogr-427	257	8	2001	2001	NUM
iogr-427	257	9	.	.	PUNCT
iogr-427	258	1	the	the	DET
iogr-427	258	2	role	role	NOUN
iogr-427	258	3	of	of	ADP
iogr-427	258	4	probabilistic	probabilistic	ADJ
iogr-427	258	5	approaches	approach	NOUN
iogr-427	258	6	to	to	ADP
iogr-427	258	7	transport	transport	NOUN
iogr-427	258	8	theory	theory	NOUN
iogr-427	258	9	in	in	ADP
iogr-427	258	10	heterogeneous	heterogeneous	ADJ
iogr-427	258	11	media	medium	NOUN
iogr-427	258	12	.	.	PUNCT
iogr-427	259	1	transport	transport	NOUN
iogr-427	259	2	in	in	ADP
iogr-427	259	3	porous	porous	ADJ
iogr-427	259	4	media	medium	NOUN
iogr-427	259	5	42(1	42(1	NOUN
iogr-427	259	6	-	-	PUNCT
iogr-427	259	7	2	2	NUM
iogr-427	259	8	):	):	PUNCT
iogr-427	259	9	241	241	NUM
iogr-427	259	10	-	-	SYM
iogr-427	259	11	263	263	NUM
iogr-427	259	12	.	.	PUNCT
iogr-427	260	1	blasingame	blasingame	NOUN
iogr-427	260	2	,	,	PUNCT
iogr-427	260	3	t.	t.	PROPN
iogr-427	260	4	a.	a.	PROPN
iogr-427	260	5	and	and	CCONJ
iogr-427	260	6	lee	lee	PROPN
iogr-427	260	7	,	,	PUNCT
iogr-427	260	8	w.	w.	PROPN
iogr-427	260	9	j.	j.	PROPN
iogr-427	260	10	1986a	1986a	PROPN
iogr-427	260	11	.	.	PUNCT
iogr-427	261	1	properties	property	NOUN
iogr-427	261	2	of	of	ADP
iogr-427	261	3	homogeneous	homogeneous	ADJ
iogr-427	261	4	reservoirs	reservoir	NOUN
iogr-427	261	5	,	,	PUNCT
iogr-427	261	6	naturally	naturally	ADV
iogr-427	261	7	fractured	fracture	VERB
iogr-427	261	8	reservoirs	reservoir	NOUN
iogr-427	261	9	,	,	PUNCT
iogr-427	261	10	and	and	CCONJ
iogr-427	261	11	hydraulically	hydraulically	ADV
iogr-427	261	12	fractured	fractured	ADJ
iogr-427	261	13	reservoirs	reservoir	NOUN
iogr-427	261	14	from	from	ADP
iogr-427	261	15	decline	decline	NOUN
iogr-427	261	16	curve	curve	NOUN
iogr-427	261	17	analysis	analysis	NOUN
iogr-427	261	18	.	.	PUNCT
iogr-427	262	1	paper	paper	NOUN
iogr-427	262	2	presented	present	VERB
iogr-427	262	3	at	at	ADP
iogr-427	262	4	the	the	DET
iogr-427	262	5	permian	permian	PROPN
iogr-427	262	6	basin	basin	PROPN
iogr-427	262	7	oil	oil	NOUN
iogr-427	262	8	and	and	CCONJ
iogr-427	262	9	gas	gas	NOUN
iogr-427	262	10	recovery	recovery	NOUN
iogr-427	262	11	conference	conference	NOUN
iogr-427	262	12	,	,	PUNCT
iogr-427	262	13	midland	midland	PROPN
iogr-427	262	14	,	,	PUNCT
iogr-427	262	15	texas	texas	PROPN
iogr-427	262	16	,	,	PUNCT
iogr-427	262	17	13	13	NUM
iogr-427	262	18	-	-	SYM
iogr-427	262	19	15	15	NUM
iogr-427	262	20	march	march	NOUN
iogr-427	262	21	.	.	PUNCT
iogr-427	263	1	spe-15018	spe-15018	PROPN
iogr-427	263	2	-	-	PUNCT
iogr-427	263	3	ms	ms	PROPN
iogr-427	263	4	.	.	PROPN
iogr-427	263	5	blasingame	blasingame	PROPN
iogr-427	263	6	,	,	PUNCT
iogr-427	263	7	t.	t.	PROPN
iogr-427	263	8	a.	a.	PROPN
iogr-427	263	9	and	and	CCONJ
iogr-427	263	10	lee	lee	PROPN
iogr-427	263	11	,	,	PUNCT
iogr-427	263	12	w.	w.	PROPN
iogr-427	263	13	j.	j.	PROPN
iogr-427	263	14	1986b	1986b	PROPN
iogr-427	263	15	.	.	PUNCT
iogr-427	264	1	variable	variable	ADJ
iogr-427	264	2	-	-	PUNCT
iogr-427	264	3	rate	rate	NOUN
iogr-427	264	4	reservoir	reservoir	NOUN
iogr-427	264	5	limits	limit	NOUN
iogr-427	264	6	testing	testing	NOUN
iogr-427	264	7	.	.	PUNCT
iogr-427	265	1	paper	paper	NOUN
iogr-427	265	2	presented	present	VERB
iogr-427	265	3	at	at	ADP
iogr-427	265	4	the	the	DET
iogr-427	265	5	permian	permian	PROPN
iogr-427	265	6	basin	basin	PROPN
iogr-427	265	7	oil	oil	NOUN
iogr-427	265	8	and	and	CCONJ
iogr-427	265	9	gas	gas	NOUN
iogr-427	265	10	recovery	recovery	NOUN
iogr-427	265	11	conference	conference	NOUN
iogr-427	265	12	,	,	PUNCT
iogr-427	265	13	midland	midland	PROPN
iogr-427	265	14	,	,	PUNCT
iogr-427	265	15	texas	texas	PROPN
iogr-427	265	16	,	,	PUNCT
iogr-427	265	17	13	13	NUM
iogr-427	265	18	-	-	SYM
iogr-427	265	19	15	15	NUM
iogr-427	265	20	march	march	NOUN
iogr-427	265	21	.	.	PUNCT
iogr-427	266	1	spe-15028	spe-15028	PROPN
iogr-427	266	2	-	-	PUNCT
iogr-427	266	3	ms	ms	PROPN
iogr-427	266	4	.	.	PROPN
iogr-427	266	5	blasingame	blasingame	PROPN
iogr-427	266	6	,	,	PUNCT
iogr-427	266	7	t.	t.	PROPN
iogr-427	266	8	a.	a.	PROPN
iogr-427	266	9	and	and	CCONJ
iogr-427	266	10	lee	lee	PROPN
iogr-427	266	11	,	,	PUNCT
iogr-427	266	12	w.	w.	PROPN
iogr-427	266	13	j.	j.	PROPN
iogr-427	266	14	1988	1988	NUM
iogr-427	266	15	.	.	PUNCT
iogr-427	267	1	the	the	DET
iogr-427	267	2	variable	variable	ADJ
iogr-427	267	3	-	-	PUNCT
iogr-427	267	4	rate	rate	NOUN
iogr-427	267	5	reservoir	reservoir	NOUN
iogr-427	267	6	limits	limit	NOUN
iogr-427	267	7	testing	testing	NOUN
iogr-427	267	8	of	of	ADP
iogr-427	267	9	gas	gas	NOUN
iogr-427	267	10	wells	well	NOUN
iogr-427	267	11	.	.	PUNCT
iogr-427	268	1	paper	paper	NOUN
iogr-427	268	2	presented	present	VERB
iogr-427	268	3	at	at	ADP
iogr-427	268	4	the	the	DET
iogr-427	268	5	spe	spe	PROPN
iogr-427	268	6	gas	gas	NOUN
iogr-427	268	7	technology	technology	NOUN
iogr-427	268	8	symposium	symposium	NOUN
iogr-427	268	9	,	,	PUNCT
iogr-427	268	10	dallas	dallas	PROPN
iogr-427	268	11	,	,	PUNCT
iogr-427	268	12	texas	texas	PROPN
iogr-427	268	13	,	,	PUNCT
iogr-427	268	14	13	13	NUM
iogr-427	268	15	-	-	SYM
iogr-427	268	16	15	15	NUM
iogr-427	268	17	june	june	PROPN
iogr-427	268	18	.	.	PUNCT
iogr-427	269	1	spe-17708	spe-17708	PROPN
iogr-427	269	2	-	-	PUNCT
iogr-427	269	3	ms	ms	PROPN
iogr-427	269	4	.	.	PROPN
iogr-427	269	5	blasingame	blasingame	PROPN
iogr-427	269	6	,	,	PUNCT
iogr-427	269	7	t.	t.	PROPN
iogr-427	269	8	a.	a.	PROPN
iogr-427	269	9	,	,	PUNCT
iogr-427	269	10	johnston	johnston	PROPN
iogr-427	269	11	,	,	PUNCT
iogr-427	269	12	j.	j.	PROPN
iogr-427	269	13	l.	l.	PROPN
iogr-427	269	14	,	,	PUNCT
iogr-427	269	15	and	and	CCONJ
iogr-427	269	16	lee	lee	PROPN
iogr-427	269	17	,	,	PUNCT
iogr-427	269	18	w.	w.	PROPN
iogr-427	269	19	j.	j.	PROPN
iogr-427	269	20	1989	1989	PROPN
iogr-427	269	21	.	.	PUNCT
iogr-427	270	1	type	type	NOUN
iogr-427	270	2	-	-	PUNCT
iogr-427	270	3	curve	curve	NOUN
iogr-427	270	4	analysis	analysis	NOUN
iogr-427	270	5	using	use	VERB
iogr-427	270	6	the	the	DET
iogr-427	270	7	pressure	pressure	NOUN
iogr-427	270	8	integral	integral	ADJ
iogr-427	270	9	method	method	NOUN
iogr-427	270	10	.	.	PUNCT
iogr-427	271	1	paper	paper	NOUN
iogr-427	271	2	presented	present	VERB
iogr-427	271	3	at	at	ADP
iogr-427	271	4	the	the	DET
iogr-427	271	5	spe	spe	PROPN
iogr-427	271	6	california	california	PROPN
iogr-427	271	7	regional	regional	ADJ
iogr-427	271	8	meeting	meeting	NOUN
iogr-427	271	9	,	,	PUNCT
iogr-427	271	10	bakersfield	bakersfield	PROPN
iogr-427	271	11	,	,	PUNCT
iogr-427	271	12	california	california	PROPN
iogr-427	271	13	,	,	PUNCT
iogr-427	271	14	5	5	NUM
iogr-427	271	15	-	-	SYM
iogr-427	271	16	7	7	NUM
iogr-427	271	17	april	april	PROPN
iogr-427	271	18	.	.	PUNCT
iogr-427	272	1	spe-18799	spe-18799	PROPN
iogr-427	272	2	-	-	PUNCT
iogr-427	272	3	ms	ms	PROPN
iogr-427	272	4	.	.	PROPN
iogr-427	272	5	clarkson	clarkson	PROPN
iogr-427	272	6	,	,	PUNCT
iogr-427	272	7	c.	c.	PROPN
iogr-427	272	8	r.	r.	PROPN
iogr-427	272	9	and	and	CCONJ
iogr-427	272	10	pedersen	pedersen	PROPN
iogr-427	272	11	,	,	PUNCT
iogr-427	272	12	p.	p.	PROPN
iogr-427	272	13	k.	k.	PROPN
iogr-427	273	1	2010	2010	NUM
iogr-427	273	2	.	.	PUNCT
iogr-427	274	1	tight	tight	ADJ
iogr-427	274	2	oil	oil	NOUN
iogr-427	274	3	production	production	NOUN
iogr-427	274	4	analysis	analysis	NOUN
iogr-427	274	5	:	:	PUNCT
iogr-427	274	6	adaptation	adaptation	NOUN
iogr-427	274	7	of	of	ADP
iogr-427	274	8	existing	exist	VERB
iogr-427	274	9	rate	rate	NOUN
iogr-427	274	10	-	-	PUNCT
iogr-427	274	11	transient	transient	NOUN
iogr-427	274	12	analysis	analysis	NOUN
iogr-427	274	13	techniques	technique	NOUN
iogr-427	274	14	.	.	PUNCT
iogr-427	275	1	paper	paper	NOUN
iogr-427	275	2	presented	present	VERB
iogr-427	275	3	at	at	ADP
iogr-427	275	4	the	the	DET
iogr-427	275	5	canadian	canadian	ADJ
iogr-427	275	6	unconventional	unconventional	ADJ
iogr-427	275	7	resources	resource	NOUN
iogr-427	275	8	and	and	CCONJ
iogr-427	275	9	international	international	ADJ
iogr-427	275	10	petroleum	petroleum	NOUN
iogr-427	275	11	conference	conference	NOUN
iogr-427	275	12	,	,	PUNCT
iogr-427	275	13	calgary	calgary	PROPN
iogr-427	275	14	,	,	PUNCT
iogr-427	275	15	alberta	alberta	PROPN
iogr-427	275	16	,	,	PUNCT
iogr-427	275	17	canada	canada	PROPN
iogr-427	275	18	,	,	PUNCT
iogr-427	275	19	19	19	NUM
iogr-427	275	20	-	-	SYM
iogr-427	275	21	21	21	NUM
iogr-427	275	22	october	october	PROPN
iogr-427	275	23	.	.	PUNCT
iogr-427	276	1	spe-137352	spe-137352	PROPN
iogr-427	276	2	-	-	PUNCT
iogr-427	276	3	ms	ms	PROPN
iogr-427	276	4	.	.	PROPN
iogr-427	276	5	dake	dake	PROPN
iogr-427	276	6	,	,	PUNCT
iogr-427	276	7	l.	l.	PROPN
iogr-427	276	8	p.	p.	PROPN
iogr-427	276	9	1983	1983	NUM
iogr-427	276	10	.	.	PUNCT
iogr-427	277	1	fundamentals	fundamental	NOUN
iogr-427	277	2	of	of	ADP
iogr-427	277	3	reservoir	reservoir	PROPN
iogr-427	277	4	engineering	engineering	PROPN
iogr-427	277	5	,	,	PUNCT
iogr-427	277	6	1st	1st	PROPN
iogr-427	277	7	edition	edition	NOUN
iogr-427	277	8	.	.	PUNCT
iogr-427	278	1	amsterdam	amsterdam	PROPN
iogr-427	278	2	,	,	PUNCT
iogr-427	278	3	holland	holland	PROPN
iogr-427	278	4	:	:	PUNCT
iogr-427	278	5	elsevier	elsevier	NOUN
iogr-427	278	6	.	.	PUNCT
iogr-427	279	1	de	de	PROPN
iogr-427	279	2	swaan	swaan	X
iogr-427	279	3	,	,	PUNCT
iogr-427	279	4	a.	a.	NOUN
iogr-427	279	5	1978	1978	NUM
iogr-427	279	6	.	.	PUNCT
iogr-427	279	7	theory	theory	NOUN
iogr-427	279	8	of	of	ADP
iogr-427	279	9	waterflooding	waterfloode	VERB
iogr-427	279	10	in	in	ADP
iogr-427	279	11	fractured	fractured	ADJ
iogr-427	279	12	reservoirs	reservoir	NOUN
iogr-427	279	13	.	.	PUNCT
iogr-427	280	1	spe	spe	PROPN
iogr-427	280	2	j	j	PROPN
iogr-427	280	3	18	18	NUM
iogr-427	280	4	(	(	PUNCT
iogr-427	280	5	2	2	NUM
iogr-427	280	6	):	):	PUNCT
iogr-427	280	7	117	117	NUM
iogr-427	280	8	-	-	SYM
iogr-427	280	9	122	122	NUM
iogr-427	280	10	.	.	PUNCT
iogr-427	281	1	spe-5892	spe-5892	PROPN
iogr-427	281	2	-	-	PUNCT
iogr-427	281	3	pa	pa	PROPN
iogr-427	281	4	.	.	PROPN
iogr-427	281	5	einstein	einstein	PROPN
iogr-427	281	6	,	,	PUNCT
iogr-427	281	7	a.	a.	PROPN
iogr-427	281	8	1905	1905	NUM
iogr-427	281	9	.	.	PUNCT
iogr-427	282	1	über	über	PROPN
iogr-427	282	2	die	die	PROPN
iogr-427	282	3	von	von	PROPN
iogr-427	282	4	der	der	PROPN
iogr-427	282	5	molekularkinetischen	molekularkinetischen	PROPN
iogr-427	282	6	theorie	theorie	PROPN
iogr-427	282	7	der	der	PROPN
iogr-427	282	8	wärme	wärme	VERB
iogr-427	282	9	geforderte	geforderte	NOUN
iogr-427	282	10	bewegung	bewegung	PROPN
iogr-427	282	11	von	von	PROPN
iogr-427	282	12	in	in	ADP
iogr-427	282	13	ruhenden	ruhenden	PROPN
iogr-427	282	14	flüssigkeiten	flüssigkeiten	ADJ
iogr-427	282	15	suspendierten	suspendierten	ADJ
iogr-427	282	16	teilchen	teilchen	NOUN
iogr-427	282	17	.	.	PUNCT
iogr-427	283	1	annalen	annalen	PROPN
iogr-427	283	2	der	der	NOUN
iogr-427	283	3	physik	physik	PROPN
iogr-427	283	4	322(8	322(8	NUM
iogr-427	283	5	):	):	PUNCT
iogr-427	283	6	549	549	NUM
iogr-427	283	7	-	-	SYM
iogr-427	283	8	560	560	NUM
iogr-427	283	9	.	.	PUNCT
iogr-427	284	1	fracgen	fracgen	NOUN
iogr-427	284	2	and	and	CCONJ
iogr-427	284	3	nfflow	nfflow	ADJ
iogr-427	284	4	version	version	NOUN
iogr-427	284	5	14.9	14.9	NUM
iogr-427	284	6	,	,	PUNCT
iogr-427	284	7	a	a	DET
iogr-427	284	8	doe	doe	NOUN
iogr-427	284	9	-	-	PUNCT
iogr-427	284	10	sponsored	sponsor	VERB
iogr-427	284	11	project	project	NOUN
iogr-427	284	12	.	.	PUNCT
iogr-427	285	1	https://edx.netl.doe.gov/dataset/fracgen-andnfflow-version-14-9	https://edx.netl.doe.gov/dataset/fracgen-andnfflow-version-14-9	PROPN
iogr-427	285	2	.	.	PROPN
iogr-427	286	1	accessed	access	VERB
iogr-427	286	2	december	december	PROPN
iogr-427	286	3	18	18	NUM
iogr-427	286	4	,	,	PUNCT
iogr-427	286	5	2017	2017	NUM
iogr-427	286	6	.	.	PUNCT
iogr-427	287	1	fuentes	fuentes	PROPN
iogr-427	287	2	-	-	PUNCT
iogr-427	287	3	cruz	cruz	PROPN
iogr-427	287	4	,	,	PUNCT
iogr-427	287	5	g.	g.	PROPN
iogr-427	287	6	and	and	CCONJ
iogr-427	287	7	valko	valko	PROPN
iogr-427	287	8	,	,	PUNCT
iogr-427	287	9	p.	p.	NOUN
iogr-427	287	10	p.	p.	NOUN
iogr-427	287	11	2015	2015	NUM
iogr-427	287	12	.	.	PUNCT
iogr-427	288	1	revisiting	revisit	VERB
iogr-427	288	2	the	the	DET
iogr-427	288	3	dual	dual	ADJ
iogr-427	288	4	-	-	PUNCT
iogr-427	288	5	porosity	porosity	NOUN
iogr-427	288	6	/	/	SYM
iogr-427	288	7	dual	dual	ADJ
iogr-427	288	8	-	-	PUNCT
iogr-427	288	9	permeability	permeability	NOUN
iogr-427	288	10	modeling	modeling	NOUN
iogr-427	288	11	of	of	ADP
iogr-427	288	12	unconventional	unconventional	ADJ
iogr-427	288	13	reservoirs	reservoir	NOUN
iogr-427	288	14	:	:	PUNCT
iogr-427	288	15	the	the	DET
iogr-427	288	16	induced	induce	VERB
iogr-427	288	17	-	-	PUNCT
iogr-427	288	18	interporosity	interporosity	NOUN
iogr-427	288	19	flow	flow	NOUN
iogr-427	288	20	field	field	NOUN
iogr-427	288	21	.	.	PUNCT
iogr-427	289	1	spe	spe	PROPN
iogr-427	289	2	j	j	PROPN
iogr-427	289	3	20(1	20(1	NUM
iogr-427	289	4	):	):	PUNCT
iogr-427	289	5	124	124	NUM
iogr-427	289	6	-	-	SYM
iogr-427	289	7	141	141	NUM
iogr-427	289	8	.	.	PUNCT
iogr-427	290	1	spe-173895	spe-173895	PROPN
iogr-427	290	2	-	-	PUNCT
iogr-427	290	3	pa	pa	PROPN
iogr-427	290	4	.	.	PROPN
iogr-427	290	5	gale	gale	PROPN
iogr-427	290	6	,	,	PUNCT
iogr-427	290	7	j.	j.	PROPN
iogr-427	290	8	f.	f.	PROPN
iogr-427	290	9	,	,	PUNCT
iogr-427	290	10	laubach	laubach	PROPN
iogr-427	290	11	,	,	PUNCT
iogr-427	290	12	s.	s.	PROPN
iogr-427	290	13	e.	e.	PROPN
iogr-427	290	14	,	,	PUNCT
iogr-427	290	15	olson	olson	PROPN
iogr-427	290	16	,	,	PUNCT
iogr-427	290	17	j.	j.	PROPN
iogr-427	290	18	e.	e.	PROPN
iogr-427	290	19	,	,	PUNCT
iogr-427	290	20	et	et	PROPN
iogr-427	290	21	al	al	PROPN
iogr-427	290	22	.	.	PROPN
iogr-427	290	23	2014	2014	NUM
iogr-427	290	24	.	.	PUNCT
iogr-427	291	1	natural	natural	ADJ
iogr-427	291	2	fractures	fracture	NOUN
iogr-427	291	3	in	in	ADP
iogr-427	291	4	shale	shale	NOUN
iogr-427	291	5	:	:	PUNCT
iogr-427	291	6	a	a	DET
iogr-427	291	7	review	review	NOUN
iogr-427	291	8	and	and	CCONJ
iogr-427	291	9	new	new	ADJ
iogr-427	291	10	observations	observation	NOUN
iogr-427	291	11	.	.	PUNCT
iogr-427	292	1	aapg	aapg	PROPN
iogr-427	292	2	bulletin	bulletin	NOUN
iogr-427	292	3	98(11	98(11	NUM
iogr-427	292	4	):	):	PUNCT
iogr-427	292	5	2165	2165	NUM
iogr-427	292	6	-	-	SYM
iogr-427	292	7	2216	2216	NUM
iogr-427	292	8	.	.	PUNCT
iogr-427	293	1	hagberg	hagberg	PROPN
iogr-427	293	2	,	,	PUNCT
iogr-427	293	3	a.	a.	NOUN
iogr-427	293	4	a.	a.	PROPN
iogr-427	293	5	,	,	PUNCT
iogr-427	293	6	schult	schult	ADJ
iogr-427	293	7	,	,	PUNCT
iogr-427	293	8	d.	d.	PROPN
iogr-427	293	9	a.	a.	PROPN
iogr-427	293	10	,	,	PUNCT
iogr-427	293	11	and	and	CCONJ
iogr-427	293	12	swart	swart	PROPN
iogr-427	293	13	,	,	PUNCT
iogr-427	293	14	p.	p.	PROPN
iogr-427	293	15	j.	j.	PROPN
iogr-427	293	16	2008	2008	NUM
iogr-427	293	17	.	.	PUNCT
iogr-427	294	1	exploring	explore	VERB
iogr-427	294	2	network	network	NOUN
iogr-427	294	3	structure	structure	NOUN
iogr-427	294	4	,	,	PUNCT
iogr-427	294	5	dynamics	dynamic	NOUN
iogr-427	294	6	,	,	PUNCT
iogr-427	294	7	and	and	CCONJ
iogr-427	294	8	function	function	NOUN
iogr-427	294	9	using	use	VERB
iogr-427	294	10	networkx	networkx	PROPN
iogr-427	294	11	.	.	PUNCT
iogr-427	295	1	paper	paper	PROPN
iogr-427	295	2	presented	present	VERB
iogr-427	295	3	at	at	ADP
iogr-427	295	4	the	the	DET
iogr-427	295	5	proceedings	proceeding	NOUN
iogr-427	295	6	of	of	ADP
iogr-427	295	7	the	the	DET
iogr-427	295	8	7th	7th	ADJ
iogr-427	295	9	python	python	NOUN
iogr-427	295	10	in	in	ADP
iogr-427	295	11	science	science	PROPN
iogr-427	295	12	conference	conference	PROPN
iogr-427	295	13	,	,	PUNCT
iogr-427	295	14	pasadena	pasadena	PROPN
iogr-427	295	15	,	,	PUNCT
iogr-427	295	16	ca	ca	NOUN
iogr-427	295	17	,	,	PUNCT
iogr-427	295	18	2	2	NUM
iogr-427	295	19	-	-	SYM
iogr-427	295	20	5	5	NUM
iogr-427	295	21	august	august	NOUN
iogr-427	295	22	.	.	PUNCT
iogr-427	296	1	holy	holy	PROPN
iogr-427	296	2	,	,	PUNCT
iogr-427	296	3	r.	r.	PROPN
iogr-427	296	4	and	and	CCONJ
iogr-427	296	5	ozkan	ozkan	PROPN
iogr-427	296	6	,	,	PUNCT
iogr-427	296	7	e.	e.	PROPN
iogr-427	296	8	2017	2017	NUM
iogr-427	296	9	.	.	PUNCT
iogr-427	297	1	numerical	numerical	ADJ
iogr-427	297	2	modeling	modeling	NOUN
iogr-427	297	3	of	of	ADP
iogr-427	297	4	1d	1d	NUM
iogr-427	297	5	anomalous	anomalous	ADJ
iogr-427	297	6	diffusion	diffusion	NOUN
iogr-427	297	7	in	in	ADP
iogr-427	297	8	unconventional	unconventional	ADJ
iogr-427	297	9	wells	well	NOUN
iogr-427	297	10	using	use	VERB
iogr-427	297	11	a	a	DET
iogr-427	297	12	nonuniform	nonuniform	ADJ
iogr-427	297	13	mesh	mesh	NOUN
iogr-427	297	14	.	.	PUNCT
iogr-427	298	1	paper	paper	NOUN
iogr-427	298	2	presented	present	VERB
iogr-427	298	3	at	at	ADP
iogr-427	298	4	the	the	DET
iogr-427	298	5	spe	spe	PROPN
iogr-427	298	6	/	/	SYM
iogr-427	298	7	aapg	aapg	ADJ
iogr-427	298	8	/	/	SYM
iogr-427	298	9	seg	seg	PROPN
iogr-427	298	10	unconventional	unconventional	ADJ
iogr-427	298	11	resources	resource	NOUN
iogr-427	298	12	technology	technology	NOUN
iogr-427	298	13	conference	conference	NOUN
iogr-427	298	14	,	,	PUNCT
iogr-427	298	15	austin	austin	PROPN
iogr-427	298	16	,	,	PUNCT
iogr-427	298	17	texas	texas	PROPN
iogr-427	298	18	,	,	PUNCT
iogr-427	298	19	24	24	NUM
iogr-427	298	20	-	-	SYM
iogr-427	298	21	26	26	NUM
iogr-427	298	22	july	july	NOUN
iogr-427	298	23	.	.	PUNCT
iogr-427	299	1	urtec-2695593	urtec-2695593	ADJ
iogr-427	299	2	-	-	PUNCT
iogr-427	299	3	ms	ms	PROPN
iogr-427	299	4	.	.	PROPN
iogr-427	299	5	itô	itô	PROPN
iogr-427	299	6	,	,	PUNCT
iogr-427	299	7	k.	k.	PROPN
iogr-427	299	8	1974	1974	NUM
iogr-427	299	9	.	.	PUNCT
iogr-427	300	1	diffusion	diffusion	NOUN
iogr-427	300	2	processes	process	NOUN
iogr-427	300	3	.	.	PUNCT
iogr-427	301	1	london	london	PROPN
iogr-427	301	2	,	,	PUNCT
iogr-427	301	3	uk	uk	PROPN
iogr-427	301	4	:	:	PUNCT
iogr-427	301	5	john	john	PROPN
iogr-427	301	6	wiley	wiley	PROPN
iogr-427	301	7	and	and	CCONJ
iogr-427	301	8	sons	son	NOUN
iogr-427	301	9	,	,	PUNCT
iogr-427	301	10	inc	inc	PROPN
iogr-427	301	11	.	.	PROPN
iogr-427	301	12	jin	jin	PROPN
iogr-427	301	13	,	,	PUNCT
iogr-427	301	14	z.	z.	PROPN
iogr-427	301	15	and	and	CCONJ
iogr-427	301	16	firoozabadi	firoozabadi	PROPN
iogr-427	301	17	,	,	PUNCT
iogr-427	301	18	a.	a.	NOUN
iogr-427	301	19	2016	2016	NUM
iogr-427	301	20	.	.	PUNCT
iogr-427	302	1	thermodynamic	thermodynamic	ADJ
iogr-427	302	2	modeling	modeling	NOUN
iogr-427	302	3	of	of	ADP
iogr-427	302	4	phase	phase	NOUN
iogr-427	302	5	behavior	behavior	NOUN
iogr-427	302	6	in	in	ADP
iogr-427	302	7	shale	shale	NOUN
iogr-427	302	8	media	medium	NOUN
iogr-427	302	9	.	.	PUNCT
iogr-427	303	1	spe	spe	PROPN
iogr-427	303	2	j	j	PROPN
iogr-427	303	3	21(1	21(1	NUM
iogr-427	303	4	):	):	PUNCT
iogr-427	303	5	190207	190207	NUM
iogr-427	303	6	.	.	PUNCT
iogr-427	304	1	spe-176015	spe-176015	PROPN
iogr-427	304	2	-	-	PUNCT
iogr-427	304	3	pa	pa	PROPN
iogr-427	304	4	.	.	PROPN
iogr-427	304	5	kazemi	kazemi	PROPN
iogr-427	304	6	,	,	PUNCT
iogr-427	304	7	h.	h.	PROPN
iogr-427	304	8	1969	1969	NUM
iogr-427	304	9	.	.	PUNCT
iogr-427	305	1	pressure	pressure	NOUN
iogr-427	305	2	transient	transient	NOUN
iogr-427	305	3	analysis	analysis	NOUN
iogr-427	305	4	of	of	ADP
iogr-427	305	5	naturally	naturally	ADV
iogr-427	305	6	fractured	fracture	VERB
iogr-427	305	7	reservoirs	reservoir	NOUN
iogr-427	305	8	with	with	ADP
iogr-427	305	9	uniform	uniform	ADJ
iogr-427	305	10	fracture	fracture	NOUN
iogr-427	305	11	distribution	distribution	NOUN
iogr-427	305	12	.	.	PUNCT
iogr-427	306	1	spe	spe	PROPN
iogr-427	306	2	j	j	PROPN
iogr-427	306	3	9(4	9(4	NOUN
iogr-427	306	4	):	):	PUNCT
iogr-427	306	5	451	451	NUM
iogr-427	306	6	-	-	SYM
iogr-427	306	7	462	462	NUM
iogr-427	306	8	.	.	PUNCT
iogr-427	306	9	spe-2156	spe-2156	PROPN
iogr-427	306	10	-	-	PUNCT
iogr-427	306	11	pa	pa	PROPN
iogr-427	306	12	.	.	PUNCT
iogr-427	306	13	kim	kim	PROPN
iogr-427	306	14	,	,	PUNCT
iogr-427	306	15	j.	j.	PROPN
iogr-427	306	16	and	and	CCONJ
iogr-427	306	17	moridis	moridis	PROPN
iogr-427	306	18	,	,	PUNCT
iogr-427	306	19	g.	g.	PROPN
iogr-427	306	20	j.	j.	PROPN
iogr-427	306	21	2012	2012	NUM
iogr-427	306	22	.	.	PUNCT
iogr-427	307	1	numerical	numerical	ADJ
iogr-427	307	2	studies	study	NOUN
iogr-427	307	3	on	on	ADP
iogr-427	307	4	coupled	couple	VERB
iogr-427	307	5	flow	flow	NOUN
iogr-427	307	6	and	and	CCONJ
iogr-427	307	7	geomechanics	geomechanic	NOUN
iogr-427	307	8	with	with	ADP
iogr-427	307	9	the	the	DET
iogr-427	307	10	multiple	multiple	ADJ
iogr-427	307	11	porosity	porosity	NOUN
iogr-427	307	12	model	model	NOUN
iogr-427	307	13	for	for	ADP
iogr-427	307	14	naturally	naturally	ADV
iogr-427	307	15	fractured	fracture	VERB
iogr-427	307	16	tight	tight	ADJ
iogr-427	307	17	and	and	CCONJ
iogr-427	307	18	shale	shale	NOUN
iogr-427	307	19	gas	gas	NOUN
iogr-427	307	20	reservoirs	reservoir	NOUN
iogr-427	307	21	.	.	PUNCT
iogr-427	308	1	paper	paper	NOUN
iogr-427	308	2	presented	present	VERB
iogr-427	308	3	at	at	ADP
iogr-427	308	4	the	the	DET
iogr-427	308	5	46th	46th	ADJ
iogr-427	308	6	u.s	u.s	PROPN
iogr-427	308	7	.	.	PROPN
iogr-427	308	8	rock	rock	NOUN
iogr-427	308	9	mechanics	mechanic	NOUN
iogr-427	308	10	/	/	SYM
iogr-427	308	11	geomechanics	geomechanic	NOUN
iogr-427	308	12	symposium	symposium	NOUN
iogr-427	308	13	,	,	PUNCT
iogr-427	308	14	chicago	chicago	PROPN
iogr-427	308	15	,	,	PUNCT
iogr-427	308	16	illinois	illinois	PROPN
iogr-427	308	17	,	,	PUNCT
iogr-427	308	18	24	24	NUM
iogr-427	308	19	-	-	SYM
iogr-427	308	20	27	27	NUM
iogr-427	308	21	june	june	PROPN
iogr-427	308	22	.	.	PUNCT
iogr-427	309	1	https://edx.netl.doe.gov/dataset/fracgen-and-nfflow-version-14-9	https://edx.netl.doe.gov/dataset/fracgen-and-nfflow-version-14-9	PROPN
iogr-427	309	2	https://edx.netl.doe.gov/dataset/fracgen-and-nfflow-version-14-9	https://edx.netl.doe.gov/dataset/fracgen-and-nfflow-version-14-9	ADJ
iogr-427	309	3	23	23	NUM
iogr-427	309	4	lee	lee	PROPN
iogr-427	309	5	,	,	PUNCT
iogr-427	309	6	s.t	s.t	PROPN
iogr-427	309	7	.	.	PROPN
iogr-427	309	8	and	and	CCONJ
iogr-427	309	9	brockenbrough	brockenbrough	ADV
iogr-427	309	10	,	,	PUNCT
iogr-427	309	11	j.	j.	PROPN
iogr-427	309	12	1983	1983	NUM
iogr-427	309	13	.	.	PUNCT
iogr-427	310	1	a	a	DET
iogr-427	310	2	new	new	ADJ
iogr-427	310	3	analytic	analytic	ADJ
iogr-427	310	4	solution	solution	NOUN
iogr-427	310	5	for	for	ADP
iogr-427	310	6	finite	finite	ADJ
iogr-427	310	7	conductivity	conductivity	NOUN
iogr-427	310	8	vertical	vertical	ADJ
iogr-427	310	9	fractures	fracture	NOUN
iogr-427	310	10	with	with	ADP
iogr-427	310	11	real	real	ADJ
iogr-427	310	12	time	time	NOUN
iogr-427	310	13	and	and	CCONJ
iogr-427	310	14	laplace	laplace	NOUN
iogr-427	310	15	space	space	NOUN
iogr-427	310	16	parameter	parameter	PROPN
iogr-427	310	17	estimation	estimation	PROPN
iogr-427	310	18	.	.	PUNCT
iogr-427	311	1	paper	paper	NOUN
iogr-427	311	2	presented	present	VERB
iogr-427	311	3	at	at	ADP
iogr-427	311	4	the	the	DET
iogr-427	311	5	spe	spe	PROPN
iogr-427	311	6	annual	annual	ADJ
iogr-427	311	7	technical	technical	ADJ
iogr-427	311	8	conference	conference	NOUN
iogr-427	311	9	and	and	CCONJ
iogr-427	311	10	exhibition	exhibition	NOUN
iogr-427	311	11	,	,	PUNCT
iogr-427	311	12	san	san	PROPN
iogr-427	311	13	francisco	francisco	PROPN
iogr-427	311	14	,	,	PUNCT
iogr-427	311	15	california	california	PROPN
iogr-427	311	16	,	,	PUNCT
iogr-427	311	17	5	5	NUM
iogr-427	311	18	-	-	SYM
iogr-427	311	19	8	8	NUM
iogr-427	311	20	october	october	PROPN
iogr-427	311	21	.	.	PUNCT
iogr-427	312	1	spe-12013	spe-12013	PROPN
iogr-427	312	2	-	-	PUNCT
iogr-427	312	3	ms	ms	PROPN
iogr-427	312	4	.	.	PROPN
iogr-427	312	5	liu	liu	PROPN
iogr-427	312	6	,	,	PUNCT
iogr-427	312	7	x.	x.	PROPN
iogr-427	312	8	,	,	PUNCT
iogr-427	312	9	chen	chen	PROPN
iogr-427	312	10	,	,	PUNCT
iogr-427	312	11	z.	z.	PROPN
iogr-427	312	12	,	,	PUNCT
iogr-427	312	13	and	and	CCONJ
iogr-427	312	14	jiang	jiang	PROPN
iogr-427	312	15	,	,	PUNCT
iogr-427	312	16	l.	l.	PROPN
iogr-427	312	17	1987	1987	NUM
iogr-427	312	18	.	.	PUNCT
iogr-427	313	1	exact	exact	ADJ
iogr-427	313	2	solution	solution	NOUN
iogr-427	313	3	of	of	ADP
iogr-427	313	4	double	double	ADJ
iogr-427	313	5	-	-	PUNCT
iogr-427	313	6	porosity	porosity	NOUN
iogr-427	313	7	,	,	PUNCT
iogr-427	313	8	double	double	ADJ
iogr-427	313	9	-	-	PUNCT
iogr-427	313	10	permeability	permeability	NOUN
iogr-427	313	11	systems	system	NOUN
iogr-427	313	12	including	include	VERB
iogr-427	313	13	wellbore	wellbore	NOUN
iogr-427	313	14	storage	storage	NOUN
iogr-427	313	15	and	and	CCONJ
iogr-427	313	16	skin	skin	NOUN
iogr-427	313	17	effect	effect	NOUN
iogr-427	313	18	.	.	PUNCT
iogr-427	314	1	paper	paper	NOUN
iogr-427	314	2	presented	present	VERB
iogr-427	314	3	at	at	ADP
iogr-427	314	4	the	the	DET
iogr-427	314	5	spe	spe	PROPN
iogr-427	314	6	annual	annual	ADJ
iogr-427	314	7	technical	technical	ADJ
iogr-427	314	8	conference	conference	NOUN
iogr-427	314	9	and	and	CCONJ
iogr-427	314	10	exhibition	exhibition	NOUN
iogr-427	314	11	,	,	PUNCT
iogr-427	314	12	dallas	dallas	PROPN
iogr-427	314	13	,	,	PUNCT
iogr-427	314	14	texas	texas	PROPN
iogr-427	314	15	,	,	PUNCT
iogr-427	314	16	27	27	NUM
iogr-427	314	17	-	-	SYM
iogr-427	314	18	30	30	NUM
iogr-427	314	19	september	september	PROPN
iogr-427	314	20	.	.	PUNCT
iogr-427	315	1	spe-16849	spe-16849	PROPN
iogr-427	315	2	-	-	PUNCT
iogr-427	315	3	ms	ms	PROPN
iogr-427	315	4	.	.	PROPN
iogr-427	315	5	luo	luo	PROPN
iogr-427	315	6	,	,	PUNCT
iogr-427	315	7	s.	s.	PROPN
iogr-427	315	8	,	,	PUNCT
iogr-427	315	9	lutkenhaus	lutkenhaus	PROPN
iogr-427	315	10	,	,	PUNCT
iogr-427	315	11	j.	j.	PROPN
iogr-427	315	12	l.	l.	PROPN
iogr-427	315	13	,	,	PUNCT
iogr-427	315	14	and	and	CCONJ
iogr-427	315	15	nasrabadi	nasrabadi	NOUN
iogr-427	315	16	,	,	PUNCT
iogr-427	315	17	h.	h.	PROPN
iogr-427	315	18	2016	2016	NUM
iogr-427	315	19	.	.	PUNCT
iogr-427	316	1	confinement	confinement	NOUN
iogr-427	316	2	-	-	PUNCT
iogr-427	316	3	induced	induce	VERB
iogr-427	316	4	supercriticality	supercriticality	NOUN
iogr-427	316	5	and	and	CCONJ
iogr-427	316	6	phase	phase	NOUN
iogr-427	316	7	equilibria	equilibrium	NOUN
iogr-427	316	8	of	of	ADP
iogr-427	316	9	hydrocarbons	hydrocarbon	NOUN
iogr-427	316	10	in	in	ADP
iogr-427	316	11	nanopores	nanopore	NOUN
iogr-427	316	12	.	.	PUNCT
iogr-427	317	1	langmuir	langmuir	PROPN
iogr-427	317	2	32(44	32(44	NUM
iogr-427	317	3	):	):	PUNCT
iogr-427	317	4	11506	11506	NUM
iogr-427	317	5	-	-	SYM
iogr-427	317	6	11513	11513	NUM
iogr-427	317	7	.	.	PUNCT
iogr-427	318	1	luo	luo	PROPN
iogr-427	318	2	,	,	PUNCT
iogr-427	318	3	s.	s.	PROPN
iogr-427	318	4	,	,	PUNCT
iogr-427	318	5	lutkenhaus	lutkenhaus	PROPN
iogr-427	318	6	,	,	PUNCT
iogr-427	318	7	j.	j.	PROPN
iogr-427	318	8	l.	l.	PROPN
iogr-427	318	9	,	,	PUNCT
iogr-427	318	10	and	and	CCONJ
iogr-427	318	11	nasrabadi	nasrabadi	NOUN
iogr-427	318	12	,	,	PUNCT
iogr-427	318	13	h.	h.	PROPN
iogr-427	318	14	2017	2017	NUM
iogr-427	318	15	.	.	PUNCT
iogr-427	319	1	multi	multi	ADJ
iogr-427	319	2	-	-	ADJ
iogr-427	319	3	scale	scale	ADJ
iogr-427	319	4	fluid	fluid	NOUN
iogr-427	319	5	phase	phase	NOUN
iogr-427	319	6	behavior	behavior	NOUN
iogr-427	319	7	simulation	simulation	NOUN
iogr-427	319	8	in	in	ADP
iogr-427	319	9	shale	shale	NOUN
iogr-427	319	10	reservoirs	reservoir	NOUN
iogr-427	319	11	by	by	ADP
iogr-427	319	12	a	a	DET
iogr-427	319	13	pore	pore	ADJ
iogr-427	319	14	-	-	PUNCT
iogr-427	319	15	size	size	NOUN
iogr-427	319	16	-	-	PUNCT
iogr-427	319	17	dependent	dependent	ADJ
iogr-427	319	18	equation	equation	NOUN
iogr-427	319	19	of	of	ADP
iogr-427	319	20	state	state	NOUN
iogr-427	319	21	.	.	PUNCT
iogr-427	320	1	paper	paper	NOUN
iogr-427	320	2	presented	present	VERB
iogr-427	320	3	at	at	ADP
iogr-427	320	4	the	the	DET
iogr-427	320	5	spe	spe	PROPN
iogr-427	320	6	annual	annual	ADJ
iogr-427	320	7	technical	technical	ADJ
iogr-427	320	8	conference	conference	NOUN
iogr-427	320	9	and	and	CCONJ
iogr-427	320	10	exhibition	exhibition	NOUN
iogr-427	320	11	,	,	PUNCT
iogr-427	320	12	san	san	PROPN
iogr-427	320	13	antonio	antonio	PROPN
iogr-427	320	14	,	,	PUNCT
iogr-427	320	15	texas	texas	PROPN
iogr-427	320	16	,	,	PUNCT
iogr-427	320	17	9	9	NUM
iogr-427	320	18	-	-	SYM
iogr-427	320	19	11	11	NUM
iogr-427	320	20	october	october	PROPN
iogr-427	320	21	.	.	PUNCT
iogr-427	321	1	spe-187422	spe-187422	PROPN
iogr-427	321	2	-	-	PUNCT
iogr-427	321	3	ms	ms	PROPN
iogr-427	321	4	.	.	PROPN
iogr-427	321	5	metzler	metzler	PROPN
iogr-427	321	6	,	,	PUNCT
iogr-427	321	7	r.	r.	PROPN
iogr-427	321	8	,	,	PUNCT
iogr-427	321	9	glöckle	glöckle	PROPN
iogr-427	321	10	,	,	PUNCT
iogr-427	321	11	w.g	w.g	PROPN
iogr-427	321	12	.	.	PROPN
iogr-427	321	13	,	,	PUNCT
iogr-427	321	14	and	and	CCONJ
iogr-427	321	15	nonnenmacher	nonnenmacher	NOUN
iogr-427	321	16	,	,	PUNCT
iogr-427	321	17	t.f	t.f	PROPN
iogr-427	321	18	.	.	PROPN
iogr-427	321	19	1994	1994	NUM
iogr-427	321	20	.	.	PUNCT
iogr-427	322	1	fractional	fractional	ADJ
iogr-427	322	2	model	model	NOUN
iogr-427	322	3	equation	equation	NOUN
iogr-427	322	4	for	for	ADP
iogr-427	322	5	anomalous	anomalous	ADJ
iogr-427	322	6	diffusion	diffusion	NOUN
iogr-427	322	7	.	.	PUNCT
iogr-427	323	1	physica	physica	PROPN
iogr-427	323	2	a	a	DET
iogr-427	323	3	:	:	PUNCT
iogr-427	323	4	statistical	statistical	ADJ
iogr-427	323	5	mechanics	mechanic	NOUN
iogr-427	323	6	and	and	CCONJ
iogr-427	323	7	its	its	PRON
iogr-427	323	8	applications	application	NOUN
iogr-427	323	9	211(1	211(1	NUM
iogr-427	323	10	):	):	PUNCT
iogr-427	323	11	13	13	NUM
iogr-427	323	12	-	-	SYM
iogr-427	323	13	24	24	NUM
iogr-427	323	14	.	.	PUNCT
iogr-427	323	15	moler	moler	PROPN
iogr-427	323	16	,	,	PUNCT
iogr-427	323	17	c.	c.	PROPN
iogr-427	323	18	and	and	CCONJ
iogr-427	323	19	van	van	PROPN
iogr-427	323	20	loan	loan	PROPN
iogr-427	323	21	,	,	PUNCT
iogr-427	323	22	c.	c.	PROPN
iogr-427	323	23	2003	2003	NUM
iogr-427	323	24	.	.	PUNCT
iogr-427	324	1	nineteen	nineteen	NUM
iogr-427	324	2	dubious	dubious	ADJ
iogr-427	324	3	ways	way	NOUN
iogr-427	324	4	to	to	PART
iogr-427	324	5	compute	compute	VERB
iogr-427	324	6	the	the	DET
iogr-427	324	7	exponential	exponential	NOUN
iogr-427	324	8	of	of	ADP
iogr-427	324	9	a	a	DET
iogr-427	324	10	matrix	matrix	NOUN
iogr-427	324	11	,	,	PUNCT
iogr-427	324	12	twenty	twenty	NUM
iogr-427	324	13	-	-	PUNCT
iogr-427	324	14	five	five	NUM
iogr-427	324	15	years	year	NOUN
iogr-427	324	16	later	later	ADV
iogr-427	324	17	.	.	PUNCT
iogr-427	325	1	siam	siam	PROPN
iogr-427	325	2	review	review	PROPN
iogr-427	325	3	45(1	45(1	NOUN
iogr-427	325	4	):	):	PUNCT
iogr-427	325	5	3	3	NUM
iogr-427	325	6	-	-	SYM
iogr-427	325	7	49	49	NUM
iogr-427	325	8	.	.	PUNCT
iogr-427	326	1	nojabaei	nojabaei	PROPN
iogr-427	326	2	,	,	PUNCT
iogr-427	326	3	b.	b.	PROPN
iogr-427	326	4	,	,	PUNCT
iogr-427	326	5	johns	johns	PROPN
iogr-427	326	6	,	,	PUNCT
iogr-427	326	7	r.t	r.t	PROPN
iogr-427	326	8	.	.	PROPN
iogr-427	326	9	,	,	PUNCT
iogr-427	326	10	and	and	CCONJ
iogr-427	326	11	chu	chu	PROPN
iogr-427	326	12	,	,	PUNCT
iogr-427	326	13	l.	l.	PROPN
iogr-427	326	14	2012	2012	NUM
iogr-427	326	15	.	.	PUNCT
iogr-427	327	1	effect	effect	NOUN
iogr-427	327	2	of	of	ADP
iogr-427	327	3	capillary	capillary	ADJ
iogr-427	327	4	pressure	pressure	NOUN
iogr-427	327	5	on	on	ADP
iogr-427	327	6	fluid	fluid	ADJ
iogr-427	327	7	density	density	NOUN
iogr-427	327	8	and	and	CCONJ
iogr-427	327	9	phase	phase	NOUN
iogr-427	327	10	behavior	behavior	NOUN
iogr-427	327	11	in	in	ADP
iogr-427	327	12	tight	tight	ADJ
iogr-427	327	13	rocks	rock	NOUN
iogr-427	327	14	and	and	CCONJ
iogr-427	327	15	shales	shale	NOUN
iogr-427	327	16	.	.	PUNCT
iogr-427	328	1	paper	paper	NOUN
iogr-427	328	2	presented	present	VERB
iogr-427	328	3	at	at	ADP
iogr-427	328	4	the	the	DET
iogr-427	328	5	spe	spe	PROPN
iogr-427	328	6	annual	annual	ADJ
iogr-427	328	7	technical	technical	ADJ
iogr-427	328	8	conference	conference	NOUN
iogr-427	328	9	and	and	CCONJ
iogr-427	328	10	exhibition	exhibition	NOUN
iogr-427	328	11	,	,	PUNCT
iogr-427	328	12	san	san	PROPN
iogr-427	328	13	antonio	antonio	PROPN
iogr-427	328	14	,	,	PUNCT
iogr-427	328	15	texas	texas	PROPN
iogr-427	328	16	,	,	PUNCT
iogr-427	328	17	8	8	NUM
iogr-427	328	18	-	-	SYM
iogr-427	328	19	10	10	NUM
iogr-427	328	20	october	october	PROPN
iogr-427	328	21	.	.	PUNCT
iogr-427	329	1	spe-159258	spe-159258	PROPN
iogr-427	329	2	-	-	PUNCT
iogr-427	329	3	ms	ms	PROPN
iogr-427	329	4	.	.	PROPN
iogr-427	329	5	ozkan	ozkan	PROPN
iogr-427	329	6	,	,	PUNCT
iogr-427	329	7	e.	e.	PROPN
iogr-427	329	8	,	,	PUNCT
iogr-427	329	9	brown	brown	PROPN
iogr-427	329	10	,	,	PUNCT
iogr-427	329	11	m.l	m.l	PROPN
iogr-427	329	12	.	.	PROPN
iogr-427	329	13	,	,	PUNCT
iogr-427	329	14	raghavan	raghavan	PROPN
iogr-427	329	15	,	,	PUNCT
iogr-427	329	16	r.s	r.s	PROPN
iogr-427	329	17	.	.	PROPN
iogr-427	329	18	,	,	PUNCT
iogr-427	329	19	et	et	PROPN
iogr-427	329	20	al	al	PROPN
iogr-427	329	21	.	.	PROPN
iogr-427	329	22	2009	2009	NUM
iogr-427	329	23	.	.	PUNCT
iogr-427	330	1	comparison	comparison	NOUN
iogr-427	330	2	of	of	ADP
iogr-427	330	3	fractured	fractured	ADJ
iogr-427	330	4	horizontal	horizontal	ADJ
iogr-427	330	5	-	-	PUNCT
iogr-427	330	6	well	well	NOUN
iogr-427	330	7	performance	performance	NOUN
iogr-427	330	8	in	in	ADP
iogr-427	330	9	conventional	conventional	ADJ
iogr-427	330	10	and	and	CCONJ
iogr-427	330	11	unconventional	unconventional	ADJ
iogr-427	330	12	reservoirs	reservoir	NOUN
iogr-427	330	13	.	.	PUNCT
iogr-427	331	1	paper	paper	NOUN
iogr-427	331	2	presented	present	VERB
iogr-427	331	3	at	at	ADP
iogr-427	331	4	the	the	DET
iogr-427	331	5	spe	spe	PROPN
iogr-427	331	6	western	western	ADJ
iogr-427	331	7	regional	regional	ADJ
iogr-427	331	8	meeting	meeting	NOUN
iogr-427	331	9	,	,	PUNCT
iogr-427	331	10	san	san	PROPN
iogr-427	331	11	jose	jose	PROPN
iogr-427	331	12	,	,	PUNCT
iogr-427	331	13	california	california	PROPN
iogr-427	331	14	,	,	PUNCT
iogr-427	331	15	24	24	NUM
iogr-427	331	16	-	-	SYM
iogr-427	331	17	26	26	NUM
iogr-427	331	18	march	march	NOUN
iogr-427	331	19	.	.	PUNCT
iogr-427	332	1	spe-121290	spe-121290	PROPN
iogr-427	332	2	-	-	PUNCT
iogr-427	332	3	ms	ms	PROPN
iogr-427	332	4	.	.	PROPN
iogr-427	332	5	raghavan	raghavan	PROPN
iogr-427	332	6	,	,	PUNCT
iogr-427	332	7	r.	r.	PROPN
iogr-427	332	8	2011	2011	NUM
iogr-427	332	9	.	.	PUNCT
iogr-427	333	1	fractional	fractional	ADJ
iogr-427	333	2	derivatives	derivative	NOUN
iogr-427	333	3	:	:	PUNCT
iogr-427	333	4	application	application	NOUN
iogr-427	333	5	to	to	PART
iogr-427	333	6	transient	transient	VERB
iogr-427	333	7	flow	flow	NOUN
iogr-427	333	8	.	.	PUNCT
iogr-427	334	1	journal	journal	NOUN
iogr-427	334	2	of	of	ADP
iogr-427	334	3	petroleum	petroleum	NOUN
iogr-427	334	4	science	science	NOUN
iogr-427	334	5	and	and	CCONJ
iogr-427	334	6	engineering	engineering	NOUN
iogr-427	334	7	80(1	80(1	NUM
iogr-427	334	8	):	):	PUNCT
iogr-427	334	9	7	7	NUM
iogr-427	334	10	-	-	SYM
iogr-427	334	11	13	13	NUM
iogr-427	334	12	.	.	PUNCT
iogr-427	335	1	raghavan	raghavan	PROPN
iogr-427	335	2	,	,	PUNCT
iogr-427	335	3	r.	r.	PROPN
iogr-427	335	4	and	and	CCONJ
iogr-427	335	5	chen	chen	PROPN
iogr-427	335	6	,	,	PUNCT
iogr-427	335	7	c.	c.	PROPN
iogr-427	335	8	2017	2017	NUM
iogr-427	335	9	.	.	PUNCT
iogr-427	336	1	addressing	address	VERB
iogr-427	336	2	the	the	DET
iogr-427	336	3	influence	influence	NOUN
iogr-427	336	4	of	of	ADP
iogr-427	336	5	a	a	DET
iogr-427	336	6	heterogeneous	heterogeneous	ADJ
iogr-427	336	7	matrix	matrix	NOUN
iogr-427	336	8	on	on	ADP
iogr-427	336	9	well	well	ADJ
iogr-427	336	10	performance	performance	NOUN
iogr-427	336	11	in	in	ADP
iogr-427	336	12	fractured	fractured	ADJ
iogr-427	336	13	rocks	rock	NOUN
iogr-427	336	14	.	.	PUNCT
iogr-427	337	1	transport	transport	NOUN
iogr-427	337	2	in	in	ADP
iogr-427	337	3	porous	porous	ADJ
iogr-427	337	4	media	medium	NOUN
iogr-427	337	5	117(1	117(1	NUM
iogr-427	337	6	)	)	PUNCT
iogr-427	337	7	,	,	PUNCT
iogr-427	337	8	69	69	NUM
iogr-427	337	9	-	-	SYM
iogr-427	337	10	102	102	NUM
iogr-427	337	11	.	.	PUNCT
iogr-427	338	1	riewchotisakul	riewchotisakul	ADJ
iogr-427	338	2	,	,	PUNCT
iogr-427	338	3	s.	s.	PROPN
iogr-427	338	4	and	and	CCONJ
iogr-427	338	5	akkutlu	akkutlu	PROPN
iogr-427	338	6	,	,	PUNCT
iogr-427	338	7	i.	i.	PROPN
iogr-427	338	8	y.	y.	PROPN
iogr-427	338	9	2016	2016	NUM
iogr-427	338	10	.	.	PUNCT
iogr-427	339	1	adsorption	adsorption	NOUN
iogr-427	339	2	-	-	PUNCT
iogr-427	339	3	enhanced	enhance	VERB
iogr-427	339	4	transport	transport	NOUN
iogr-427	339	5	of	of	ADP
iogr-427	339	6	hydrocarbons	hydrocarbon	NOUN
iogr-427	339	7	in	in	ADP
iogr-427	339	8	organic	organic	ADJ
iogr-427	339	9	nanopores	nanopore	NOUN
iogr-427	339	10	.	.	PUNCT
iogr-427	340	1	spe	spe	PROPN
iogr-427	340	2	j	j	PROPN
iogr-427	340	3	21(6	21(6	NUM
iogr-427	340	4	):	):	PUNCT
iogr-427	340	5	1960	1960	NUM
iogr-427	340	6	-	-	SYM
iogr-427	340	7	1969	1969	NUM
iogr-427	340	8	.	.	PUNCT
iogr-427	341	1	spe-175107	spe-175107	PROPN
iogr-427	341	2	-	-	PUNCT
iogr-427	341	3	pa	pa	PROPN
iogr-427	341	4	.	.	PROPN
iogr-427	341	5	rogers	rogers	PROPN
iogr-427	341	6	,	,	PUNCT
iogr-427	341	7	l.c.g	l.c.g	VERB
iogr-427	341	8	.	.	PUNCT
iogr-427	341	9	and	and	CCONJ
iogr-427	341	10	williams	williams	PROPN
iogr-427	341	11	,	,	PUNCT
iogr-427	341	12	d.	d.	PROPN
iogr-427	341	13	1994	1994	NUM
iogr-427	341	14	.	.	PUNCT
iogr-427	342	1	diffusions	diffusion	NOUN
iogr-427	342	2	,	,	PUNCT
iogr-427	342	3	markov	markov	NOUN
iogr-427	342	4	processes	process	NOUN
iogr-427	342	5	and	and	CCONJ
iogr-427	342	6	martingales	martingale	NOUN
iogr-427	342	7	:	:	PUNCT
iogr-427	342	8	volume	volume	NOUN
iogr-427	342	9	2	2	NUM
iogr-427	342	10	.	.	PUNCT
iogr-427	342	11	london	london	PROPN
iogr-427	342	12	,	,	PUNCT
iogr-427	342	13	uk	uk	PROPN
iogr-427	342	14	:	:	PUNCT
iogr-427	342	15	cambridge	cambridge	PROPN
iogr-427	342	16	university	university	PROPN
iogr-427	342	17	press	press	NOUN
iogr-427	342	18	.	.	PUNCT
iogr-427	343	1	sidje	sidje	PROPN
iogr-427	343	2	,	,	PUNCT
iogr-427	343	3	r.	r.	PROPN
iogr-427	343	4	b.	b.	PROPN
iogr-427	343	5	1998	1998	NUM
iogr-427	343	6	.	.	PUNCT
iogr-427	344	1	a	a	DET
iogr-427	344	2	software	software	NOUN
iogr-427	344	3	package	package	NOUN
iogr-427	344	4	for	for	ADP
iogr-427	344	5	computing	compute	VERB
iogr-427	344	6	matrix	matrix	NOUN
iogr-427	344	7	exponentials	exponential	NOUN
iogr-427	344	8	.	.	PUNCT
iogr-427	345	1	acm	acm	NOUN
iogr-427	345	2	transactions	transaction	NOUN
iogr-427	345	3	on	on	ADP
iogr-427	345	4	mathematical	mathematical	ADJ
iogr-427	345	5	software	software	NOUN
iogr-427	345	6	(	(	PUNCT
iogr-427	345	7	toms	tom	NOUN
iogr-427	345	8	)	)	PUNCT
iogr-427	345	9	24(1	24(1	NUM
iogr-427	345	10	):	):	PUNCT
iogr-427	345	11	130	130	NUM
iogr-427	345	12	-	-	SYM
iogr-427	345	13	156	156	NUM
iogr-427	345	14	.	.	PUNCT
iogr-427	346	1	splichte	splichte	PROPN
iogr-427	346	2	.	.	PUNCT
iogr-427	347	1	2013	2013	NUM
iogr-427	347	2	,	,	PUNCT
iogr-427	347	3	github	github	NOUN
iogr-427	347	4	repository	repository	NOUN
iogr-427	347	5	,	,	PUNCT
iogr-427	347	6	https://github.com/splichte/lsi	https://github.com/splichte/lsi	PROPN
iogr-427	347	7	.	.	PUNCT
iogr-427	348	1	accessed	access	VERB
iogr-427	348	2	december	december	PROPN
iogr-427	348	3	18	18	NUM
iogr-427	348	4	,	,	PUNCT
iogr-427	348	5	2017	2017	NUM
iogr-427	348	6	.	.	PUNCT
iogr-427	349	1	vilaseca	vilaseca	NOUN
iogr-427	349	2	,	,	PUNCT
iogr-427	349	3	e.	e.	PROPN
iogr-427	349	4	,	,	PUNCT
iogr-427	349	5	isvoran	isvoran	NOUN
iogr-427	349	6	,	,	PUNCT
iogr-427	349	7	a.	a.	NOUN
iogr-427	349	8	,	,	PUNCT
iogr-427	349	9	madurga	madurga	PROPN
iogr-427	349	10	,	,	PUNCT
iogr-427	349	11	s.	s.	PROPN
iogr-427	349	12	,	,	PUNCT
iogr-427	349	13	et	et	PROPN
iogr-427	349	14	al	al	PROPN
iogr-427	349	15	.	.	PROPN
iogr-427	349	16	2011	2011	NUM
iogr-427	349	17	.	.	PUNCT
iogr-427	350	1	new	new	ADJ
iogr-427	350	2	insights	insight	NOUN
iogr-427	350	3	into	into	ADP
iogr-427	350	4	diffusion	diffusion	NOUN
iogr-427	350	5	in	in	ADP
iogr-427	350	6	3d	3d	NUM
iogr-427	350	7	crowded	crowded	ADJ
iogr-427	350	8	media	medium	NOUN
iogr-427	350	9	by	by	ADP
iogr-427	350	10	monte	monte	PROPN
iogr-427	350	11	carlo	carlo	PROPN
iogr-427	350	12	simulations	simulation	NOUN
iogr-427	350	13	:	:	PUNCT
iogr-427	350	14	effect	effect	NOUN
iogr-427	350	15	of	of	ADP
iogr-427	350	16	size	size	NOUN
iogr-427	350	17	,	,	PUNCT
iogr-427	350	18	mobility	mobility	NOUN
iogr-427	350	19	and	and	CCONJ
iogr-427	350	20	spatial	spatial	ADJ
iogr-427	350	21	distribution	distribution	NOUN
iogr-427	350	22	of	of	ADP
iogr-427	350	23	obstacles	obstacle	NOUN
iogr-427	350	24	.	.	PUNCT
iogr-427	351	1	physical	physical	ADJ
iogr-427	351	2	chemistry	chemistry	NOUN
iogr-427	351	3	chemical	chemical	PROPN
iogr-427	351	4	physics	physics	PROPN
iogr-427	351	5	13(16):7396	13(16):7396	NUM
iogr-427	351	6	-	-	SYM
iogr-427	351	7	7407	7407	NUM
iogr-427	351	8	.	.	PUNCT
iogr-427	352	1	vlahos	vlahos	PROPN
iogr-427	352	2	,	,	PUNCT
iogr-427	352	3	l.	l.	PROPN
iogr-427	352	4	,	,	PUNCT
iogr-427	352	5	isliker	isliker	PROPN
iogr-427	352	6	,	,	PUNCT
iogr-427	352	7	h.	h.	PROPN
iogr-427	352	8	,	,	PUNCT
iogr-427	352	9	kominis	kominis	PROPN
iogr-427	352	10	,	,	PUNCT
iogr-427	352	11	y.	y.	PROPN
iogr-427	352	12	,	,	PUNCT
iogr-427	352	13	et	et	PROPN
iogr-427	352	14	al	al	PROPN
iogr-427	352	15	.	.	PROPN
iogr-427	352	16	2008	2008	NUM
iogr-427	352	17	.	.	PUNCT
iogr-427	353	1	normal	normal	ADJ
iogr-427	353	2	and	and	CCONJ
iogr-427	353	3	anomalous	anomalous	ADJ
iogr-427	353	4	diffusion	diffusion	NOUN
iogr-427	353	5	:	:	PUNCT
iogr-427	353	6	a	a	DET
iogr-427	353	7	tutorial	tutorial	NOUN
iogr-427	353	8	.	.	PUNCT
iogr-427	354	1	warren	warren	PROPN
iogr-427	354	2	,	,	PUNCT
iogr-427	354	3	j.	j.	PROPN
iogr-427	354	4	e.	e.	PROPN
iogr-427	354	5	and	and	CCONJ
iogr-427	354	6	root	root	PROPN
iogr-427	354	7	,	,	PUNCT
iogr-427	354	8	p.	p.	PROPN
iogr-427	354	9	j.	j.	PROPN
iogr-427	354	10	1963	1963	NUM
iogr-427	354	11	.	.	PUNCT
iogr-427	355	1	the	the	DET
iogr-427	355	2	behavior	behavior	NOUN
iogr-427	355	3	of	of	ADP
iogr-427	355	4	naturally	naturally	ADV
iogr-427	355	5	fractured	fracture	VERB
iogr-427	355	6	reservoirs	reservoir	NOUN
iogr-427	355	7	.	.	PUNCT
iogr-427	356	1	spe	spe	PROPN
iogr-427	356	2	j	j	PROPN
iogr-427	356	3	3(3	3(3	NUM
iogr-427	356	4	):	):	PUNCT
iogr-427	356	5	245	245	NUM
iogr-427	356	6	-	-	SYM
iogr-427	356	7	255	255	NUM
iogr-427	356	8	.	.	PUNCT
iogr-427	357	1	spe-426pa	spe-426pa	PROPN
iogr-427	357	2	.	.	PUNCT
iogr-427	358	1	wikipedia	wikipedia	PROPN
iogr-427	358	2	.	.	PROPN
iogr-427	358	3	2017	2017	NUM
iogr-427	358	4	.	.	PUNCT
iogr-427	358	5	transition	transition	NOUN
iogr-427	358	6	rate	rate	NOUN
iogr-427	358	7	matrix	matrix	NOUN
iogr-427	358	8	.	.	PUNCT
iogr-427	359	1	https://en.wikipedia.org	https://en.wikipedia.org	PROPN
iogr-427	359	2	.	.	PROPN
iogr-427	360	1	accessed	access	VERB
iogr-427	360	2	december	december	PROPN
iogr-427	360	3	18	18	NUM
iogr-427	360	4	,	,	PUNCT
iogr-427	360	5	2017	2017	NUM
iogr-427	360	6	.	.	PUNCT
iogr-427	361	1	wu	wu	PROPN
iogr-427	361	2	,	,	PUNCT
iogr-427	361	3	k.	k.	PROPN
iogr-427	361	4	and	and	CCONJ
iogr-427	361	5	chen	chen	PROPN
iogr-427	361	6	,	,	PUNCT
iogr-427	361	7	z.	z.	PROPN
iogr-427	361	8	2016	2016	NUM
iogr-427	361	9	.	.	PUNCT
iogr-427	362	1	real	real	ADJ
iogr-427	362	2	gas	gas	NOUN
iogr-427	362	3	transport	transport	NOUN
iogr-427	362	4	through	through	ADP
iogr-427	362	5	complex	complex	ADJ
iogr-427	362	6	nanopores	nanopore	NOUN
iogr-427	362	7	of	of	ADP
iogr-427	362	8	shale	shale	NOUN
iogr-427	362	9	gas	gas	NOUN
iogr-427	362	10	reservoirs	reservoir	NOUN
iogr-427	362	11	.	.	PUNCT
iogr-427	363	1	paper	paper	NOUN
iogr-427	363	2	spe180086	spe180086	ADJ
iogr-427	363	3	-	-	PUNCT
iogr-427	363	4	ms	ms	NOUN
iogr-427	363	5	presented	present	VERB
iogr-427	363	6	at	at	ADP
iogr-427	363	7	the	the	DET
iogr-427	363	8	spe	spe	PROPN
iogr-427	363	9	europe	europe	PROPN
iogr-427	363	10	featured	feature	VERB
iogr-427	363	11	at	at	ADP
iogr-427	363	12	78th	78th	ADJ
iogr-427	363	13	eage	eage	NOUN
iogr-427	363	14	conference	conference	NOUN
iogr-427	363	15	and	and	CCONJ
iogr-427	363	16	exhibition	exhibition	NOUN
iogr-427	363	17	,	,	PUNCT
iogr-427	363	18	vienna	vienna	PROPN
iogr-427	363	19	,	,	PUNCT
iogr-427	363	20	austria	austria	PROPN
iogr-427	363	21	,	,	PUNCT
iogr-427	363	22	30	30	NUM
iogr-427	363	23	may-2	may-2	NUM
iogr-427	363	24	june	june	PROPN
iogr-427	363	25	.	.	PUNCT
iogr-427	364	1	yu	yu	PROPN
iogr-427	364	2	,	,	PUNCT
iogr-427	364	3	w.	w.	PROPN
iogr-427	364	4	,	,	PUNCT
iogr-427	364	5	xu	xu	PROPN
iogr-427	364	6	,	,	PUNCT
iogr-427	364	7	y.	y.	PROPN
iogr-427	364	8	,	,	PUNCT
iogr-427	364	9	weijermars	weijermar	NOUN
iogr-427	364	10	,	,	PUNCT
iogr-427	364	11	r.	r.	PROPN
iogr-427	364	12	,	,	PUNCT
iogr-427	364	13	et	et	PROPN
iogr-427	364	14	al	al	PROPN
iogr-427	364	15	.	.	PROPN
iogr-427	364	16	2017	2017	NUM
iogr-427	364	17	.	.	PUNCT
iogr-427	365	1	impact	impact	NOUN
iogr-427	365	2	of	of	ADP
iogr-427	365	3	well	well	ADJ
iogr-427	365	4	interference	interference	NOUN
iogr-427	365	5	on	on	ADP
iogr-427	365	6	shale	shale	NOUN
iogr-427	365	7	oil	oil	NOUN
iogr-427	365	8	production	production	NOUN
iogr-427	365	9	performance	performance	NOUN
iogr-427	365	10	:	:	PUNCT
iogr-427	365	11	a	a	DET
iogr-427	365	12	numerical	numerical	ADJ
iogr-427	365	13	model	model	NOUN
iogr-427	365	14	for	for	ADP
iogr-427	365	15	analyzing	analyze	VERB
iogr-427	365	16	pressure	pressure	NOUN
iogr-427	365	17	response	response	NOUN
iogr-427	365	18	of	of	ADP
iogr-427	365	19	fracture	fracture	NOUN
iogr-427	365	20	hits	hit	VERB
iogr-427	365	21	with	with	ADP
iogr-427	365	22	complex	complex	ADJ
iogr-427	365	23	geometries	geometry	NOUN
iogr-427	365	24	.	.	PUNCT
iogr-427	366	1	paper	paper	NOUN
iogr-427	366	2	presented	present	VERB
iogr-427	366	3	at	at	ADP
iogr-427	366	4	the	the	DET
iogr-427	366	5	spe	spe	PROPN
iogr-427	366	6	hydraulic	hydraulic	NOUN
iogr-427	366	7	fracturing	fracturing	NOUN
iogr-427	366	8	technology	technology	NOUN
iogr-427	366	9	conference	conference	NOUN
iogr-427	366	10	and	and	CCONJ
iogr-427	366	11	exhibition	exhibition	NOUN
iogr-427	366	12	,	,	PUNCT
iogr-427	366	13	the	the	DET
iogr-427	366	14	woodlands	woodland	NOUN
iogr-427	366	15	,	,	PUNCT
iogr-427	366	16	texas	texas	PROPN
iogr-427	366	17	,	,	PUNCT
iogr-427	366	18	24–26	24–26	NUM
iogr-427	366	19	january	january	PROPN
iogr-427	366	20	.	.	PUNCT
iogr-427	367	1	spe-184825	spe-184825	PROPN
iogr-427	367	2	-	-	PUNCT
iogr-427	367	3	ms	ms	PROPN
iogr-427	367	4	.	.	PROPN
iogr-427	367	5	zhang	zhang	PROPN
iogr-427	367	6	,	,	PUNCT
iogr-427	367	7	y.	y.	PROPN
iogr-427	367	8	,	,	PUNCT
iogr-427	367	9	meerschaert	meerschaert	NOUN
iogr-427	367	10	,	,	PUNCT
iogr-427	367	11	m.m	m.m	PROPN
iogr-427	367	12	.	.	PROPN
iogr-427	367	13	,	,	PUNCT
iogr-427	367	14	and	and	CCONJ
iogr-427	367	15	baeumer	baeumer	NOUN
iogr-427	367	16	,	,	PUNCT
iogr-427	367	17	b.	b.	PROPN
iogr-427	367	18	2008	2008	NUM
iogr-427	367	19	.	.	PUNCT
iogr-427	368	1	particle	particle	NOUN
iogr-427	368	2	tracking	tracking	NOUN
iogr-427	368	3	for	for	ADP
iogr-427	368	4	time	time	NOUN
iogr-427	368	5	-	-	PUNCT
iogr-427	368	6	fractional	fractional	ADJ
iogr-427	368	7	diffusion	diffusion	NOUN
iogr-427	368	8	.	.	PUNCT
iogr-427	369	1	physical	physical	ADJ
iogr-427	369	2	review	review	NOUN
iogr-427	369	3	e	e	PROPN
iogr-427	369	4	78(3	78(3	NUM
iogr-427	369	5	):	):	PUNCT
iogr-427	369	6	36	36	NUM
iogr-427	369	7	-	-	SYM
iogr-427	369	8	42	42	NUM
iogr-427	369	9	.	.	PUNCT
iogr-427	370	1	shuai	shuai	PROPN
iogr-427	370	2	liu	liu	PROPN
iogr-427	370	3	is	be	AUX
iogr-427	370	4	a	a	DET
iogr-427	370	5	phd	phd	NOUN
iogr-427	370	6	-	-	PUNCT
iogr-427	370	7	degree	degree	NOUN
iogr-427	370	8	candidate	candidate	NOUN
iogr-427	370	9	in	in	ADP
iogr-427	370	10	the	the	DET
iogr-427	370	11	department	department	NOUN
iogr-427	370	12	of	of	ADP
iogr-427	370	13	petroleum	petroleum	NOUN
iogr-427	370	14	engineering	engineering	NOUN
iogr-427	370	15	at	at	ADP
iogr-427	370	16	texas	texas	PROPN
iogr-427	370	17	a&m	a&m	PROPN
iogr-427	370	18	university	university	PROPN
iogr-427	370	19	.	.	PUNCT
iogr-427	371	1	his	his	PRON
iogr-427	371	2	research	research	NOUN
iogr-427	371	3	is	be	AUX
iogr-427	371	4	about	about	ADP
iogr-427	371	5	the	the	DET
iogr-427	371	6	fracture	fracture	NOUN
iogr-427	371	7	design	design	NOUN
iogr-427	371	8	and	and	CCONJ
iogr-427	371	9	optimization	optimization	NOUN
iogr-427	371	10	in	in	ADP
iogr-427	371	11	unconventional	unconventional	ADJ
iogr-427	371	12	reservoirs	reservoir	NOUN
iogr-427	371	13	.	.	PUNCT
iogr-427	372	1	liu	liu	PROPN
iogr-427	372	2	holds	hold	VERB
iogr-427	372	3	a	a	DET
iogr-427	372	4	master	master	NOUN
iogr-427	372	5	’s	’s	PART
iogr-427	372	6	and	and	CCONJ
iogr-427	372	7	bachelor	bachelor	NOUN
iogr-427	372	8	’s	’s	PART
iogr-427	372	9	degree	degree	NOUN
iogr-427	372	10	in	in	ADP
iogr-427	372	11	petroleum	petroleum	NOUN
iogr-427	372	12	engineering	engineering	NOUN
iogr-427	372	13	from	from	ADP
iogr-427	372	14	china	china	PROPN
iogr-427	372	15	university	university	PROPN
iogr-427	372	16	of	of	ADP
iogr-427	372	17	petroleum	petroleum	PROPN
iogr-427	372	18	,	,	PUNCT
iogr-427	372	19	beijing	beijing	PROPN
iogr-427	372	20	.	.	PUNCT
iogr-427	373	1	han	han	PROPN
iogr-427	373	2	li	li	PROPN
iogr-427	373	3	is	be	AUX
iogr-427	373	4	a	a	DET
iogr-427	373	5	seismic	seismic	ADJ
iogr-427	373	6	imaging	imaging	NOUN
iogr-427	373	7	geophysicist	geophysicist	NOUN
iogr-427	373	8	working	work	VERB
iogr-427	373	9	at	at	ADP
iogr-427	373	10	cgg	cgg	PROPN
iogr-427	373	11	in	in	ADP
iogr-427	373	12	houston	houston	PROPN
iogr-427	373	13	,	,	PUNCT
iogr-427	373	14	texas	texas	PROPN
iogr-427	373	15	.	.	PUNCT
iogr-427	374	1	he	he	PRON
iogr-427	374	2	got	get	VERB
iogr-427	374	3	his	his	PRON
iogr-427	374	4	ph.d	ph.d	NOUN
iogr-427	374	5	degree	degree	NOUN
iogr-427	374	6	in	in	ADP
iogr-427	374	7	petroleum	petroleum	NOUN
iogr-427	374	8	engineering	engineering	NOUN
iogr-427	374	9	department	department	PROPN
iogr-427	374	10	at	at	ADP
iogr-427	374	11	texas	texas	PROPN
iogr-427	374	12	a&m	a&m	PROPN
iogr-427	374	13	university	university	PROPN
iogr-427	374	14	in	in	ADP
iogr-427	374	15	2017	2017	NUM
iogr-427	374	16	.	.	PUNCT
iogr-427	375	1	he	he	PRON
iogr-427	375	2	co	co	VERB
iogr-427	375	3	-	-	VERB
iogr-427	375	4	authored	author	VERB
iogr-427	375	5	more	more	ADJ
iogr-427	375	6	than	than	ADP
iogr-427	375	7	12	12	NUM
iogr-427	375	8	articles	article	NOUN
iogr-427	375	9	and	and	CCONJ
iogr-427	375	10	conference	conference	NOUN
iogr-427	375	11	papers	paper	NOUN
iogr-427	375	12	.	.	PUNCT
iogr-427	376	1	his	his	PRON
iogr-427	376	2	expertise	expertise	NOUN
iogr-427	376	3	is	be	AUX
iogr-427	376	4	hydraulic	hydraulic	ADJ
iogr-427	376	5	fracturing	fracturing	NOUN
iogr-427	376	6	,	,	PUNCT
iogr-427	376	7	rock	rock	NOUN
iogr-427	376	8	mechanics	mechanic	NOUN
iogr-427	376	9	,	,	PUNCT
iogr-427	376	10	numerical	numerical	ADJ
iogr-427	376	11	simulation	simulation	NOUN
iogr-427	376	12	and	and	CCONJ
iogr-427	376	13	geophysics	geophysic	NOUN
iogr-427	376	14	.	.	PUNCT
iogr-427	377	1	https://github.com/splichte/lsi	https://github.com/splichte/lsi	PROPN
iogr-427	377	2	https://en.wikipedia.org/w/index.php?title=transition_rate_matrix&oldid=815062240	https://en.wikipedia.org/w/index.php?title=transition_rate_matrix&oldid=815062240	PROPN
iogr-427	377	3	24	24	NUM
iogr-427	377	4	peter	peter	PROPN
iogr-427	377	5	p.	p.	PROPN
iogr-427	377	6	valkó	valkó	PROPN
iogr-427	377	7	is	be	AUX
iogr-427	377	8	the	the	DET
iogr-427	377	9	holder	holder	NOUN
iogr-427	377	10	of	of	ADP
iogr-427	377	11	the	the	DET
iogr-427	377	12	r.	r.	PROPN
iogr-427	377	13	whiting	whiting	PROPN
iogr-427	377	14	chair	chair	NOUN
iogr-427	377	15	in	in	ADP
iogr-427	377	16	petroleum	petroleum	NOUN
iogr-427	377	17	engineering	engineering	NOUN
iogr-427	377	18	at	at	ADP
iogr-427	377	19	texas	texas	PROPN
iogr-427	377	20	a&m	a&m	PROPN
iogr-427	377	21	university	university	NOUN
iogr-427	377	22	.	.	PUNCT
iogr-427	378	1	he	he	PRON
iogr-427	378	2	holds	hold	VERB
iogr-427	378	3	b.s	b.s	PROPN
iogr-427	378	4	.	.	PROPN
iogr-427	378	5	and	and	CCONJ
iogr-427	378	6	m.s	m.s	PROPN
iogr-427	378	7	.	.	PROPN
iogr-427	378	8	degrees	degree	NOUN
iogr-427	378	9	from	from	ADP
iogr-427	378	10	veszprém	veszprém	NOUN
iogr-427	378	11	university	university	NOUN
iogr-427	378	12	,	,	PUNCT
iogr-427	378	13	hungary	hungary	PROPN
iogr-427	378	14	,	,	PUNCT
iogr-427	378	15	and	and	CCONJ
iogr-427	378	16	ph.d	ph.d	PROPN
iogr-427	378	17	.	.	PROPN
iogr-427	378	18	degree	degree	NOUN
iogr-427	378	19	from	from	ADP
iogr-427	378	20	the	the	DET
iogr-427	378	21	institute	institute	NOUN
iogr-427	378	22	of	of	ADP
iogr-427	378	23	catalysis	catalysis	NOUN
iogr-427	378	24	,	,	PUNCT
iogr-427	378	25	novosibirsk	novosibirsk	PROPN
iogr-427	378	26	,	,	PUNCT
iogr-427	378	27	russia	russia	PROPN
iogr-427	378	28	.	.	PUNCT
iogr-427	379	1	previously	previously	ADV
iogr-427	379	2	he	he	PRON
iogr-427	379	3	taught	teach	VERB
iogr-427	379	4	at	at	ADP
iogr-427	379	5	academic	academic	ADJ
iogr-427	379	6	institutions	institution	NOUN
iogr-427	379	7	in	in	ADP
iogr-427	379	8	austria	austria	PROPN
iogr-427	379	9	and	and	CCONJ
iogr-427	379	10	hungary	hungary	PROPN
iogr-427	379	11	and	and	CCONJ
iogr-427	379	12	worked	work	VERB
iogr-427	379	13	for	for	ADP
iogr-427	379	14	the	the	DET
iogr-427	379	15	hungarian	hungarian	ADJ
iogr-427	379	16	oil	oil	NOUN
iogr-427	379	17	company	company	NOUN
iogr-427	379	18	(	(	PUNCT
iogr-427	379	19	mol	mol	NOUN
iogr-427	379	20	)	)	PUNCT
iogr-427	379	21	.	.	PUNCT
iogr-427	380	1	his	his	PRON
iogr-427	380	2	research	research	NOUN
iogr-427	380	3	interests	interest	NOUN
iogr-427	380	4	include	include	VERB
iogr-427	380	5	hydraulic	hydraulic	ADJ
iogr-427	380	6	fracturing	fracturing	NOUN
iogr-427	380	7	,	,	PUNCT
iogr-427	380	8	performance	performance	NOUN
iogr-427	380	9	of	of	ADP
iogr-427	380	10	stimulated	stimulate	VERB
iogr-427	380	11	wells	well	NOUN
iogr-427	380	12	and	and	CCONJ
iogr-427	380	13	numerical	numerical	ADJ
iogr-427	380	14	inversion	inversion	NOUN
iogr-427	380	15	methods	method	NOUN
iogr-427	380	16	.	.	PUNCT