id	sid	tid	token	lemma	pos
iogr-429	1	1	copyright	copyright	NOUN
iogr-429	1	2	©	©	ADP
iogr-429	1	3	the	the	DET
iogr-429	1	4	author(s	author(s	NOUN
iogr-429	1	5	)	)	PUNCT
iogr-429	1	6	.	.	PUNCT
iogr-429	2	1	this	this	DET
iogr-429	2	2	work	work	NOUN
iogr-429	2	3	is	be	AUX
iogr-429	2	4	licensed	license	VERB
iogr-429	2	5	under	under	ADP
iogr-429	2	6	a	a	DET
iogr-429	2	7	creative	creative	ADJ
iogr-429	2	8	commons	common	NOUN
iogr-429	2	9	attribution	attribution	NOUN
iogr-429	2	10	4.0	4.0	NUM
iogr-429	2	11	international	international	ADJ
iogr-429	2	12	license	license	NOUN
iogr-429	2	13	.	.	PUNCT
iogr-429	3	1	doi	doi	NOUN
iogr-429	3	2	:	:	PUNCT
iogr-429	3	3	10.14800	10.14800	NUM
iogr-429	3	4	/	/	SYM
iogr-429	3	5	iogr.429	iogr.429	PROPN
iogr-429	3	6	received	receive	VERB
iogr-429	3	7	september	september	PROPN
iogr-429	3	8	5	5	NUM
iogr-429	3	9	,	,	PUNCT
iogr-429	3	10	2018	2018	NUM
iogr-429	3	11	;	;	PUNCT
iogr-429	3	12	revised	revise	VERB
iogr-429	3	13	october	october	PROPN
iogr-429	3	14	30	30	NUM
iogr-429	3	15	,	,	PUNCT
iogr-429	3	16	2018	2018	NUM
iogr-429	3	17	;	;	PUNCT
iogr-429	3	18	accepted	accept	VERB
iogr-429	3	19	november	november	PROPN
iogr-429	3	20	8	8	NUM
iogr-429	3	21	,	,	PUNCT
iogr-429	3	22	2018	2018	NUM
iogr-429	3	23	.	.	PUNCT
iogr-429	4	1	*	*	PUNCT
iogr-429	4	2	corresponding	correspond	VERB
iogr-429	4	3	author	author	NOUN
iogr-429	4	4	:	:	PUNCT
iogr-429	4	5	wanghao1202@petrochina.com.cn	wanghao1202@petrochina.com.cn	NOUN
iogr-429	4	6	1	1	NUM
iogr-429	4	7	sensitivity	sensitivity	NOUN
iogr-429	4	8	calculation	calculation	NOUN
iogr-429	4	9	by	by	ADP
iogr-429	4	10	adjoint	adjoint	NOUN
iogr-429	4	11	method	method	NOUN
iogr-429	4	12	:	:	PUNCT
iogr-429	4	13	an	an	DET
iogr-429	4	14	application	application	NOUN
iogr-429	4	15	to	to	ADP
iogr-429	4	16	reservoir	reservoir	PROPN
iogr-429	4	17	simulation	simulation	PROPN
iogr-429	4	18	hao	hao	PROPN
iogr-429	4	19	wang	wang	PROPN
iogr-429	4	20	*	*	PROPN
iogr-429	4	21	,	,	PUNCT
iogr-429	4	22	liaohe	liaohe	VERB
iogr-429	4	23	oilfield	oilfield	NOUN
iogr-429	4	24	company	company	NOUN
iogr-429	4	25	,	,	PUNCT
iogr-429	4	26	petrochina	petrochina	NOUN
iogr-429	4	27	,	,	PUNCT
iogr-429	4	28	panjin	panjin	NOUN
iogr-429	4	29	,	,	PUNCT
iogr-429	4	30	china	china	PROPN
iogr-429	4	31	abstract	abstract	ADJ
iogr-429	4	32	scope	scope	NOUN
iogr-429	4	33	of	of	ADP
iogr-429	4	34	this	this	DET
iogr-429	4	35	paper	paper	NOUN
iogr-429	4	36	is	be	AUX
iogr-429	4	37	the	the	DET
iogr-429	4	38	sensitivity	sensitivity	NOUN
iogr-429	4	39	calculation	calculation	NOUN
iogr-429	4	40	by	by	ADP
iogr-429	4	41	using	use	VERB
iogr-429	4	42	adjoint	adjoint	NOUN
iogr-429	4	43	method	method	NOUN
iogr-429	4	44	.	.	PUNCT
iogr-429	5	1	we	we	PRON
iogr-429	5	2	have	have	VERB
iogr-429	5	3	a	a	DET
iogr-429	5	4	9×9	9×9	NUM
iogr-429	5	5	two	two	NUM
iogr-429	5	6	phase	phase	NOUN
iogr-429	5	7	twodimension	twodimension	NOUN
iogr-429	5	8	quarter	quarter	NOUN
iogr-429	5	9	five	five	NUM
iogr-429	5	10	spot	spot	NOUN
iogr-429	5	11	model	model	NOUN
iogr-429	5	12	with	with	ADP
iogr-429	5	13	one	one	NUM
iogr-429	5	14	injector	injector	NOUN
iogr-429	5	15	and	and	CCONJ
iogr-429	5	16	one	one	NUM
iogr-429	5	17	producer	producer	NOUN
iogr-429	5	18	.	.	PUNCT
iogr-429	6	1	the	the	DET
iogr-429	6	2	high	high	ADJ
iogr-429	6	3	uncertainty	uncertainty	NOUN
iogr-429	6	4	of	of	ADP
iogr-429	6	5	the	the	DET
iogr-429	6	6	permeability	permeability	NOUN
iogr-429	6	7	field	field	NOUN
iogr-429	6	8	gives	give	VERB
iogr-429	6	9	us	we	PRON
iogr-429	6	10	the	the	DET
iogr-429	6	11	data	data	NOUN
iogr-429	6	12	mismatch	mismatch	NOUN
iogr-429	6	13	in	in	ADP
iogr-429	6	14	the	the	DET
iogr-429	6	15	model	model	NOUN
iogr-429	6	16	,	,	PUNCT
iogr-429	6	17	and	and	CCONJ
iogr-429	6	18	we	we	PRON
iogr-429	6	19	set	set	VERB
iogr-429	6	20	the	the	DET
iogr-429	6	21	permeability	permeability	NOUN
iogr-429	6	22	as	as	ADP
iogr-429	6	23	model	model	NOUN
iogr-429	6	24	parameter	parameter	NOUN
iogr-429	6	25	(	(	PUNCT
iogr-429	6	26	uncertainty	uncertainty	NOUN
iogr-429	6	27	)	)	PUNCT
iogr-429	6	28	.	.	PUNCT
iogr-429	7	1	the	the	DET
iogr-429	7	2	data	data	NOUN
iogr-429	7	3	distribution	distribution	NOUN
iogr-429	7	4	we	we	PRON
iogr-429	7	5	get	get	VERB
iogr-429	7	6	is	be	AUX
iogr-429	7	7	bottom	bottom	ADJ
iogr-429	7	8	-	-	PUNCT
iogr-429	7	9	hole	hole	NOUN
iogr-429	7	10	pressure	pressure	NOUN
iogr-429	7	11	at	at	ADP
iogr-429	7	12	injector	injector	NOUN
iogr-429	7	13	and	and	CCONJ
iogr-429	7	14	water	water	NOUN
iogr-429	7	15	cut	cut	NOUN
iogr-429	7	16	at	at	ADP
iogr-429	7	17	producer	producer	NOUN
iogr-429	7	18	for	for	ADP
iogr-429	7	19	10	10	NUM
iogr-429	7	20	time	time	NOUN
iogr-429	7	21	steps	step	NOUN
iogr-429	7	22	.	.	PUNCT
iogr-429	8	1	to	to	PART
iogr-429	8	2	get	get	VERB
iogr-429	8	3	the	the	DET
iogr-429	8	4	optimal	optimal	ADJ
iogr-429	8	5	permeability	permeability	NOUN
iogr-429	8	6	field	field	NOUN
iogr-429	8	7	,	,	PUNCT
iogr-429	8	8	we	we	PRON
iogr-429	8	9	first	first	ADV
iogr-429	8	10	calculate	calculate	VERB
iogr-429	8	11	the	the	DET
iogr-429	8	12	sensitivity	sensitivity	NOUN
iogr-429	8	13	coefficients	coefficient	NOUN
iogr-429	8	14	for	for	ADP
iogr-429	8	15	permeability	permeability	NOUN
iogr-429	8	16	by	by	ADP
iogr-429	8	17	using	use	VERB
iogr-429	8	18	adjoint	adjoint	NOUN
iogr-429	8	19	method	method	NOUN
iogr-429	8	20	.	.	PUNCT
iogr-429	9	1	we	we	PRON
iogr-429	9	2	already	already	ADV
iogr-429	9	3	have	have	VERB
iogr-429	9	4	a	a	DET
iogr-429	9	5	forward	forward	ADJ
iogr-429	9	6	simulator	simulator	NOUN
iogr-429	9	7	for	for	ADP
iogr-429	9	8	this	this	DET
iogr-429	9	9	problem	problem	NOUN
iogr-429	9	10	that	that	PRON
iogr-429	9	11	is	be	AUX
iogr-429	9	12	the	the	DET
iogr-429	9	13	fully	fully	ADV
iogr-429	9	14	implicit	implicit	ADJ
iogr-429	9	15	black	black	ADJ
iogr-429	9	16	-	-	PUNCT
iogr-429	9	17	oil	oil	NOUN
iogr-429	9	18	simulator	simulator	NOUN
iogr-429	9	19	.	.	PUNCT
iogr-429	10	1	hence	hence	ADV
iogr-429	10	2	,	,	PUNCT
iogr-429	10	3	we	we	PRON
iogr-429	10	4	need	need	VERB
iogr-429	10	5	to	to	PART
iogr-429	10	6	extract	extract	VERB
iogr-429	10	7	necessary	necessary	ADJ
iogr-429	10	8	information	information	NOUN
iogr-429	10	9	from	from	ADP
iogr-429	10	10	the	the	DET
iogr-429	10	11	forward	forward	ADJ
iogr-429	10	12	simulator	simulator	NOUN
iogr-429	10	13	,	,	PUNCT
iogr-429	10	14	i.e.	i.e.	X
iogr-429	10	15	jacobian	jacobian	ADJ
iogr-429	10	16	matrix	matrix	NOUN
iogr-429	10	17	,	,	PUNCT
iogr-429	10	18	transmissibility	transmissibility	NOUN
iogr-429	10	19	,	,	PUNCT
iogr-429	10	20	and	and	CCONJ
iogr-429	10	21	accumulation	accumulation	NOUN
iogr-429	10	22	etc	etc	X
iogr-429	10	23	.	.	X
iogr-429	10	24	advantage	advantage	NOUN
iogr-429	10	25	of	of	ADP
iogr-429	10	26	the	the	DET
iogr-429	10	27	adjoint	adjoint	NOUN
iogr-429	10	28	method	method	NOUN
iogr-429	10	29	is	be	AUX
iogr-429	10	30	that	that	SCONJ
iogr-429	10	31	it	it	PRON
iogr-429	10	32	enables	enable	VERB
iogr-429	10	33	us	we	PRON
iogr-429	10	34	to	to	PART
iogr-429	10	35	reduce	reduce	VERB
iogr-429	10	36	the	the	DET
iogr-429	10	37	considerable	considerable	ADJ
iogr-429	10	38	amount	amount	NOUN
iogr-429	10	39	of	of	ADP
iogr-429	10	40	computation	computation	NOUN
iogr-429	10	41	time	time	NOUN
iogr-429	10	42	for	for	ADP
iogr-429	10	43	calculating	calculate	VERB
iogr-429	10	44	the	the	DET
iogr-429	10	45	sensitivity	sensitivity	NOUN
iogr-429	10	46	matrix	matrix	NOUN
iogr-429	10	47	compared	compare	VERB
iogr-429	10	48	with	with	ADP
iogr-429	10	49	gradient	gradient	ADJ
iogr-429	10	50	simulator	simulator	NOUN
iogr-429	10	51	method	method	NOUN
iogr-429	10	52	.	.	PUNCT
iogr-429	11	1	the	the	DET
iogr-429	11	2	forward	forward	ADJ
iogr-429	11	3	simulation	simulation	NOUN
iogr-429	11	4	we	we	PRON
iogr-429	11	5	need	need	VERB
iogr-429	11	6	at	at	ADP
iogr-429	11	7	each	each	DET
iogr-429	11	8	minimization	minimization	NOUN
iogr-429	11	9	step	step	NOUN
iogr-429	11	10	is	be	AUX
iogr-429	11	11	only	only	ADV
iogr-429	11	12	one	one	NUM
iogr-429	11	13	time	time	NOUN
iogr-429	11	14	for	for	ADP
iogr-429	11	15	calculating	calculate	VERB
iogr-429	11	16	the	the	DET
iogr-429	11	17	sensitivity	sensitivity	NOUN
iogr-429	11	18	.	.	PUNCT
iogr-429	12	1	then	then	ADV
iogr-429	12	2	we	we	PRON
iogr-429	12	3	minimize	minimize	VERB
iogr-429	12	4	the	the	DET
iogr-429	12	5	objective	objective	ADJ
iogr-429	12	6	function	function	NOUN
iogr-429	12	7	by	by	ADP
iogr-429	12	8	levenbergmarquardt	levenbergmarquardt	ADJ
iogr-429	12	9	algorithm	algorithm	NOUN
iogr-429	12	10	.	.	PUNCT
iogr-429	13	1	introduction	introduction	NOUN
iogr-429	13	2	the	the	DET
iogr-429	13	3	quality	quality	NOUN
iogr-429	13	4	of	of	ADP
iogr-429	13	5	the	the	DET
iogr-429	13	6	reservoir	reservoir	PROPN
iogr-429	13	7	model	model	NOUN
iogr-429	13	8	,	,	PUNCT
iogr-429	13	9	i.e.	i.e.	X
iogr-429	13	10	,	,	PUNCT
iogr-429	13	11	the	the	DET
iogr-429	13	12	degree	degree	NOUN
iogr-429	13	13	to	to	PART
iogr-429	13	14	which	which	PRON
iogr-429	13	15	it	it	PRON
iogr-429	13	16	represents	represent	VERB
iogr-429	13	17	the	the	DET
iogr-429	13	18	actual	actual	ADJ
iogr-429	13	19	reservoir	reservoir	NOUN
iogr-429	13	20	,	,	PUNCT
iogr-429	13	21	directly	directly	ADV
iogr-429	13	22	affects	affect	VERB
iogr-429	13	23	reservoir	reservoir	NOUN
iogr-429	13	24	management	management	NOUN
iogr-429	13	25	.	.	PUNCT
iogr-429	14	1	this	this	DET
iogr-429	14	2	model	model	NOUN
iogr-429	14	3	helps	help	VERB
iogr-429	14	4	the	the	DET
iogr-429	14	5	manager	manager	NOUN
iogr-429	14	6	to	to	PART
iogr-429	14	7	analyze	analyze	VERB
iogr-429	14	8	the	the	DET
iogr-429	14	9	behaviors	behavior	NOUN
iogr-429	14	10	of	of	ADP
iogr-429	14	11	the	the	DET
iogr-429	14	12	reservoir	reservoir	NOUN
iogr-429	14	13	and	and	CCONJ
iogr-429	14	14	also	also	ADV
iogr-429	14	15	it	it	PRON
iogr-429	14	16	is	be	AUX
iogr-429	14	17	helpful	helpful	ADJ
iogr-429	14	18	in	in	ADP
iogr-429	14	19	production	production	NOUN
iogr-429	14	20	forecasting	forecasting	NOUN
iogr-429	14	21	and	and	CCONJ
iogr-429	14	22	optimization	optimization	NOUN
iogr-429	14	23	.	.	PUNCT
iogr-429	15	1	the	the	DET
iogr-429	15	2	reservoir	reservoir	NOUN
iogr-429	15	3	model	model	NOUN
iogr-429	15	4	creates	create	VERB
iogr-429	15	5	on	on	ADP
iogr-429	15	6	the	the	DET
iogr-429	15	7	basis	basis	NOUN
iogr-429	15	8	of	of	ADP
iogr-429	15	9	valuable	valuable	ADJ
iogr-429	15	10	data	datum	NOUN
iogr-429	15	11	obtained	obtain	VERB
iogr-429	15	12	during	during	ADP
iogr-429	15	13	the	the	DET
iogr-429	15	14	reservoir	reservoir	NOUN
iogr-429	15	15	life	life	NOUN
iogr-429	15	16	.	.	PUNCT
iogr-429	16	1	in	in	ADP
iogr-429	16	2	the	the	DET
iogr-429	16	3	exploration	exploration	NOUN
iogr-429	16	4	phase	phase	NOUN
iogr-429	16	5	,	,	PUNCT
iogr-429	16	6	the	the	DET
iogr-429	16	7	reservoir	reservoir	NOUN
iogr-429	16	8	model	model	NOUN
iogr-429	16	9	is	be	AUX
iogr-429	16	10	constructed	construct	VERB
iogr-429	16	11	using	use	VERB
iogr-429	16	12	3d	3d	NUM
iogr-429	16	13	seismic	seismic	ADJ
iogr-429	16	14	data	datum	NOUN
iogr-429	16	15	,	,	PUNCT
iogr-429	16	16	geologic	geologic	ADJ
iogr-429	16	17	knowledge	knowledge	NOUN
iogr-429	16	18	of	of	ADP
iogr-429	16	19	the	the	DET
iogr-429	16	20	surrounding	surround	VERB
iogr-429	16	21	area	area	NOUN
iogr-429	16	22	,	,	PUNCT
iogr-429	16	23	and	and	CCONJ
iogr-429	16	24	log	log	NOUN
iogr-429	16	25	/	/	SYM
iogr-429	16	26	core	core	NOUN
iogr-429	16	27	measurements	measurement	NOUN
iogr-429	16	28	from	from	ADP
iogr-429	16	29	a	a	DET
iogr-429	16	30	few	few	ADJ
iogr-429	16	31	exploration	exploration	NOUN
iogr-429	16	32	wells	well	NOUN
iogr-429	16	33	.	.	PUNCT
iogr-429	17	1	these	these	DET
iogr-429	17	2	kinds	kind	NOUN
iogr-429	17	3	of	of	ADP
iogr-429	17	4	data	datum	NOUN
iogr-429	17	5	are	be	AUX
iogr-429	17	6	called	call	VERB
iogr-429	17	7	“	"	PUNCT
iogr-429	17	8	static	static	ADJ
iogr-429	17	9	data	datum	NOUN
iogr-429	17	10	in	in	ADP
iogr-429	17	11	the	the	DET
iogr-429	17	12	appraisal	appraisal	NOUN
iogr-429	17	13	phase	phase	NOUN
iogr-429	17	14	,	,	PUNCT
iogr-429	17	15	drilling	drill	VERB
iogr-429	17	16	additional	additional	ADJ
iogr-429	17	17	wells	well	NOUN
iogr-429	17	18	provide	provide	VERB
iogr-429	17	19	new	new	ADJ
iogr-429	17	20	information	information	NOUN
iogr-429	17	21	about	about	ADP
iogr-429	17	22	the	the	DET
iogr-429	17	23	reservoir	reservoir	NOUN
iogr-429	17	24	as	as	ADP
iogr-429	17	25	a	a	DET
iogr-429	17	26	well	well	ADJ
iogr-429	17	27	test	test	NOUN
iogr-429	17	28	.	.	PUNCT
iogr-429	18	1	production	production	NOUN
iogr-429	18	2	data	datum	NOUN
iogr-429	18	3	and	and	CCONJ
iogr-429	18	4	4d	4d	NUM
iogr-429	18	5	seismic	seismic	ADJ
iogr-429	18	6	data	datum	NOUN
iogr-429	18	7	are	be	AUX
iogr-429	18	8	available	available	ADJ
iogr-429	18	9	during	during	ADP
iogr-429	18	10	the	the	DET
iogr-429	18	11	production	production	NOUN
iogr-429	18	12	time	time	NOUN
iogr-429	18	13	of	of	ADP
iogr-429	18	14	a	a	DET
iogr-429	18	15	reservoir	reservoir	NOUN
iogr-429	18	16	.	.	PUNCT
iogr-429	19	1	these	these	DET
iogr-429	19	2	kinds	kind	NOUN
iogr-429	19	3	of	of	ADP
iogr-429	19	4	information	information	NOUN
iogr-429	19	5	are	be	AUX
iogr-429	19	6	categorized	categorize	VERB
iogr-429	19	7	as	as	ADP
iogr-429	19	8	“	"	PUNCT
iogr-429	19	9	dynamic	dynamic	ADJ
iogr-429	19	10	data	datum	NOUN
iogr-429	19	11	”	"	PUNCT
iogr-429	19	12	.	.	PUNCT
iogr-429	20	1	conditioning	condition	VERB
iogr-429	20	2	reservoir	reservoir	NOUN
iogr-429	20	3	model	model	NOUN
iogr-429	20	4	to	to	ADP
iogr-429	20	5	the	the	DET
iogr-429	20	6	new	new	ADJ
iogr-429	20	7	information	information	NOUN
iogr-429	20	8	obtained	obtain	VERB
iogr-429	20	9	about	about	ADP
iogr-429	20	10	the	the	DET
iogr-429	20	11	reservoir	reservoir	NOUN
iogr-429	20	12	is	be	AUX
iogr-429	20	13	called	call	VERB
iogr-429	20	14	history	history	NOUN
iogr-429	20	15	matching	matching	NOUN
iogr-429	20	16	process	process	NOUN
iogr-429	20	17	,	,	PUNCT
iogr-429	20	18	i.e.	i.e.	X
iogr-429	20	19	history	history	NOUN
iogr-429	20	20	matching	matching	NOUN
iogr-429	20	21	is	be	AUX
iogr-429	20	22	the	the	DET
iogr-429	20	23	process	process	NOUN
iogr-429	20	24	by	by	ADP
iogr-429	20	25	which	which	PRON
iogr-429	20	26	the	the	DET
iogr-429	20	27	geological	geological	ADJ
iogr-429	20	28	model	model	NOUN
iogr-429	20	29	properties	property	NOUN
iogr-429	20	30	are	be	AUX
iogr-429	20	31	modified	modify	VERB
iogr-429	20	32	to	to	PART
iogr-429	20	33	fit	fit	VERB
iogr-429	20	34	the	the	DET
iogr-429	20	35	production	production	NOUN
iogr-429	20	36	data	datum	NOUN
iogr-429	20	37	.	.	PUNCT
iogr-429	21	1	the	the	DET
iogr-429	21	2	objective	objective	NOUN
iogr-429	21	3	of	of	ADP
iogr-429	21	4	history	history	NOUN
iogr-429	21	5	matching	matching	NOUN
iogr-429	21	6	is	be	AUX
iogr-429	21	7	to	to	PART
iogr-429	21	8	build	build	VERB
iogr-429	21	9	a	a	DET
iogr-429	21	10	reservoir	reservoir	NOUN
iogr-429	21	11	model	model	NOUN
iogr-429	21	12	that	that	PRON
iogr-429	21	13	integrates	integrate	VERB
iogr-429	21	14	available	available	ADJ
iogr-429	21	15	data	datum	NOUN
iogr-429	21	16	and	and	CCONJ
iogr-429	21	17	yields	yield	NOUN
iogr-429	21	18	production	production	NOUN
iogr-429	21	19	forecasts	forecast	NOUN
iogr-429	21	20	that	that	PRON
iogr-429	21	21	are	be	AUX
iogr-429	21	22	accurate	accurate	ADJ
iogr-429	21	23	.	.	PUNCT
iogr-429	22	1	incorrectly	incorrectly	ADV
iogr-429	22	2	identifying	identify	VERB
iogr-429	22	3	structural	structural	ADJ
iogr-429	22	4	features	feature	NOUN
iogr-429	22	5	,	,	PUNCT
iogr-429	22	6	such	such	ADJ
iogr-429	22	7	as	as	ADP
iogr-429	22	8	fluvial	fluvial	ADJ
iogr-429	22	9	channels	channel	NOUN
iogr-429	22	10	,	,	PUNCT
iogr-429	22	11	can	can	AUX
iogr-429	22	12	have	have	VERB
iogr-429	22	13	very	very	ADV
iogr-429	22	14	serious	serious	ADJ
iogr-429	22	15	consequences	consequence	NOUN
iogr-429	22	16	such	such	ADJ
iogr-429	22	17	as	as	ADP
iogr-429	22	18	badly	badly	ADV
iogr-429	22	19	placed	place	VERB
iogr-429	22	20	wells	well	NOUN
iogr-429	22	21	,	,	PUNCT
iogr-429	22	22	by	by	ADP
iogr-429	22	23	-	-	PUNCT
iogr-429	22	24	passed	pass	VERB
iogr-429	22	25	hydrocarbon	hydrocarbon	NOUN
iogr-429	22	26	,	,	PUNCT
iogr-429	22	27	and	and	CCONJ
iogr-429	22	28	failure	failure	NOUN
iogr-429	22	29	to	to	PART
iogr-429	22	30	find	find	VERB
iogr-429	22	31	trapped	trapped	ADJ
iogr-429	22	32	hydrocarbons	hydrocarbon	NOUN
iogr-429	22	33	.	.	PUNCT
iogr-429	23	1	a	a	DET
iogr-429	23	2	reservoir	reservoir	NOUN
iogr-429	23	3	model	model	NOUN
iogr-429	23	4	is	be	AUX
iogr-429	23	5	described	describe	VERB
iogr-429	23	6	by	by	ADP
iogr-429	23	7	many	many	ADJ
iogr-429	23	8	parameters	parameter	NOUN
iogr-429	23	9	,	,	PUNCT
iogr-429	23	10	and	and	CCONJ
iogr-429	23	11	each	each	DET
iogr-429	23	12	parameter	parameter	NOUN
iogr-429	23	13	can	can	AUX
iogr-429	23	14	generate	generate	VERB
iogr-429	23	15	millions	million	NOUN
iogr-429	23	16	of	of	ADP
iogr-429	23	17	pieces	piece	NOUN
iogr-429	23	18	of	of	ADP
iogr-429	23	19	data	datum	NOUN
iogr-429	23	20	.	.	PUNCT
iogr-429	24	1	some	some	DET
iogr-429	24	2	parameters	parameter	NOUN
iogr-429	24	3	are	be	AUX
iogr-429	24	4	specified	specify	VERB
iogr-429	24	5	per	per	ADP
iogr-429	24	6	grid	grid	NOUN
iogr-429	24	7	block	block	NOUN
iogr-429	24	8	(	(	PUNCT
iogr-429	24	9	e.g.	e.g.	ADV
iogr-429	24	10	,	,	PUNCT
iogr-429	24	11	permeability	permeability	NOUN
iogr-429	24	12	and	and	CCONJ
iogr-429	24	13	porosity	porosity	NOUN
iogr-429	24	14	)	)	PUNCT
iogr-429	24	15	and	and	CCONJ
iogr-429	24	16	others	other	NOUN
iogr-429	24	17	for	for	ADP
iogr-429	24	18	the	the	DET
iogr-429	24	19	entire	entire	ADJ
iogr-429	24	20	model	model	NOUN
iogr-429	24	21	or	or	CCONJ
iogr-429	24	22	a	a	DET
iogr-429	24	23	particular	particular	ADJ
iogr-429	24	24	layer	layer	NOUN
iogr-429	24	25	(	(	PUNCT
iogr-429	24	26	e.g.	e.g.	ADV
iogr-429	24	27	relative	relative	ADJ
iogr-429	24	28	permeability	permeability	NOUN
iogr-429	24	29	and	and	CCONJ
iogr-429	24	30	capillary	capillary	ADJ
iogr-429	24	31	pressure	pressure	NOUN
iogr-429	24	32	)	)	PUNCT
iogr-429	24	33	.	.	PUNCT
iogr-429	25	1	due	due	ADP
iogr-429	25	2	to	to	ADP
iogr-429	25	3	insufficiency	insufficiency	NOUN
iogr-429	25	4	of	of	ADP
iogr-429	25	5	available	available	ADJ
iogr-429	25	6	data	datum	NOUN
iogr-429	25	7	about	about	ADP
iogr-429	25	8	the	the	DET
iogr-429	25	9	reservoir	reservoir	NOUN
iogr-429	25	10	,	,	PUNCT
iogr-429	25	11	history	history	NOUN
iogr-429	25	12	matching	matching	NOUN
iogr-429	25	13	is	be	AUX
iogr-429	25	14	an	an	DET
iogr-429	25	15	ill	ill	ADV
iogr-429	25	16	-	-	PUNCT
iogr-429	25	17	posed	pose	VERB
iogr-429	25	18	problem	problem	NOUN
iogr-429	25	19	.	.	PUNCT
iogr-429	26	1	it	it	PRON
iogr-429	26	2	means	mean	VERB
iogr-429	26	3	that	that	SCONJ
iogr-429	26	4	it	it	PRON
iogr-429	26	5	is	be	AUX
iogr-429	26	6	possible	possible	ADJ
iogr-429	26	7	to	to	PART
iogr-429	26	8	obtain	obtain	VERB
iogr-429	26	9	reservoir	reservoir	NOUN
iogr-429	26	10	models	model	NOUN
iogr-429	26	11	that	that	PRON
iogr-429	26	12	honor	honor	VERB
iogr-429	26	13	observed	observe	VERB
iogr-429	26	14	measurements	measurement	NOUN
iogr-429	26	15	but	but	CCONJ
iogr-429	26	16	provide	provide	VERB
iogr-429	26	17	incorrect	incorrect	ADJ
iogr-429	26	18	predictions	prediction	NOUN
iogr-429	26	19	.	.	PUNCT
iogr-429	27	1	to	to	PART
iogr-429	27	2	deal	deal	VERB
iogr-429	27	3	with	with	ADP
iogr-429	27	4	the	the	DET
iogr-429	27	5	ill	ill	ADV
iogr-429	27	6	-	-	PUNCT
iogr-429	27	7	posed	pose	VERB
iogr-429	27	8	of	of	ADP
iogr-429	27	9	history	history	NOUN
iogr-429	27	10	matching	matching	NOUN
iogr-429	27	11	,	,	PUNCT
iogr-429	27	12	the	the	DET
iogr-429	27	13	number	number	NOUN
iogr-429	27	14	of	of	ADP
iogr-429	27	15	parameters	parameter	NOUN
iogr-429	27	16	has	have	VERB
iogr-429	27	17	to	to	PART
iogr-429	27	18	be	be	AUX
iogr-429	27	19	reduced	reduce	VERB
iogr-429	27	20	.	.	PUNCT
iogr-429	28	1	also	also	ADV
iogr-429	28	2	,	,	PUNCT
iogr-429	28	3	parameterization	parameterization	NOUN
iogr-429	28	4	preserves	preserve	VERB
iogr-429	28	5	important	important	ADJ
iogr-429	28	6	geological	geological	ADJ
iogr-429	28	7	features	feature	NOUN
iogr-429	28	8	and	and	CCONJ
iogr-429	28	9	their	their	PRON
iogr-429	28	10	connectivity	connectivity	NOUN
iogr-429	28	11	that	that	PRON
iogr-429	28	12	has	have	VERB
iogr-429	28	13	a	a	DET
iogr-429	28	14	significant	significant	ADJ
iogr-429	28	15	effect	effect	NOUN
iogr-429	28	16	on	on	ADP
iogr-429	28	17	fluid	fluid	ADJ
iogr-429	28	18	flow	flow	NOUN
iogr-429	28	19	within	within	ADP
iogr-429	28	20	the	the	DET
iogr-429	28	21	reservoir	reservoir	NOUN
iogr-429	28	22	.	.	PUNCT
iogr-429	29	1	mailto:wanghao1202@petrochina.com.cn	mailto:wanghao1202@petrochina.com.cn	NUM
iogr-429	29	2	2	2	NUM
iogr-429	29	3	several	several	ADJ
iogr-429	29	4	methods	method	NOUN
iogr-429	29	5	have	have	AUX
iogr-429	29	6	been	be	AUX
iogr-429	29	7	investigated	investigate	VERB
iogr-429	29	8	to	to	PART
iogr-429	29	9	reduce	reduce	VERB
iogr-429	29	10	the	the	DET
iogr-429	29	11	number	number	NOUN
iogr-429	29	12	of	of	ADP
iogr-429	29	13	unknown	unknown	ADJ
iogr-429	29	14	parameters	parameter	NOUN
iogr-429	29	15	.	.	PUNCT
iogr-429	30	1	jacquard	jacquard	NOUN
iogr-429	30	2	and	and	CCONJ
iogr-429	30	3	jain	jain	PROPN
iogr-429	30	4	(	(	PUNCT
iogr-429	30	5	1965	1965	NUM
iogr-429	30	6	)	)	PUNCT
iogr-429	30	7	used	use	VERB
iogr-429	30	8	simple	simple	ADJ
iogr-429	30	9	zonation	zonation	NOUN
iogr-429	30	10	approach	approach	NOUN
iogr-429	30	11	to	to	PART
iogr-429	30	12	assign	assign	VERB
iogr-429	30	13	one	one	NUM
iogr-429	30	14	value	value	NOUN
iogr-429	30	15	to	to	ADP
iogr-429	30	16	a	a	DET
iogr-429	30	17	region	region	NOUN
iogr-429	30	18	of	of	ADP
iogr-429	30	19	the	the	DET
iogr-429	30	20	reservoir	reservoir	NOUN
iogr-429	30	21	.	.	PUNCT
iogr-429	31	1	other	other	ADJ
iogr-429	31	2	researchers	researcher	NOUN
iogr-429	31	3	(	(	PUNCT
iogr-429	31	4	jahns	jahns	PROPN
iogr-429	31	5	1966	1966	NUM
iogr-429	31	6	;	;	PUNCT
iogr-429	31	7	bissel	bissel	PROPN
iogr-429	31	8	et	et	PROPN
iogr-429	31	9	al	al	PROPN
iogr-429	31	10	.	.	PROPN
iogr-429	31	11	1994	1994	NUM
iogr-429	31	12	;	;	PUNCT
iogr-429	31	13	chavent	chavent	NOUN
iogr-429	31	14	and	and	CCONJ
iogr-429	31	15	bissell	bissell	PROPN
iogr-429	31	16	1998	1998	NUM
iogr-429	31	17	)	)	PUNCT
iogr-429	31	18	modified	modify	VERB
iogr-429	31	19	the	the	DET
iogr-429	31	20	jacquard	jacquard	PROPN
iogr-429	31	21	et	et	PROPN
iogr-429	31	22	al	al	PROPN
iogr-429	31	23	.	.	PROPN
iogr-429	31	24	’s	’s	PART
iogr-429	31	25	method	method	NOUN
iogr-429	31	26	to	to	PART
iogr-429	31	27	adaptive	adaptive	VERB
iogr-429	31	28	one	one	NUM
iogr-429	31	29	.	.	PUNCT
iogr-429	32	1	some	some	DET
iogr-429	32	2	authors	author	NOUN
iogr-429	32	3	(	(	PUNCT
iogr-429	32	4	grimstad	grimstad	NOUN
iogr-429	32	5	et	et	PROPN
iogr-429	32	6	al	al	PROPN
iogr-429	32	7	.	.	PROPN
iogr-429	32	8	2003	2003	NUM
iogr-429	32	9	;	;	PUNCT
iogr-429	32	10	sahni	sahni	PROPN
iogr-429	32	11	and	and	CCONJ
iogr-429	32	12	horne	horne	PROPN
iogr-429	32	13	2005	2005	NUM
iogr-429	32	14	)	)	PUNCT
iogr-429	32	15	worked	work	VERB
iogr-429	32	16	on	on	ADP
iogr-429	32	17	different	different	ADJ
iogr-429	32	18	techniques	technique	NOUN
iogr-429	32	19	for	for	ADP
iogr-429	32	20	parameterization	parameterization	NOUN
iogr-429	32	21	and	and	CCONJ
iogr-429	32	22	history	history	NOUN
iogr-429	32	23	matching	match	VERB
iogr-429	32	24	at	at	ADP
iogr-429	32	25	different	different	ADJ
iogr-429	32	26	scales	scale	NOUN
iogr-429	32	27	.	.	PUNCT
iogr-429	33	1	another	another	DET
iogr-429	33	2	powerful	powerful	ADJ
iogr-429	33	3	approach	approach	NOUN
iogr-429	33	4	that	that	PRON
iogr-429	33	5	is	be	AUX
iogr-429	33	6	suitable	suitable	ADJ
iogr-429	33	7	for	for	ADP
iogr-429	33	8	history	history	NOUN
iogr-429	33	9	matching	matching	NOUN
iogr-429	33	10	is	be	AUX
iogr-429	33	11	klt	klt	NOUN
iogr-429	33	12	.	.	PUNCT
iogr-429	34	1	klt	klt	NOUN
iogr-429	34	2	is	be	AUX
iogr-429	34	3	mathematically	mathematically	ADV
iogr-429	34	4	defined	define	VERB
iogr-429	34	5	as	as	ADP
iogr-429	34	6	an	an	DET
iogr-429	34	7	orthogonal	orthogonal	ADJ
iogr-429	34	8	linear	linear	NOUN
iogr-429	34	9	transformation	transformation	NOUN
iogr-429	34	10	that	that	PRON
iogr-429	34	11	transforms	transform	VERB
iogr-429	34	12	a	a	DET
iogr-429	34	13	set	set	NOUN
iogr-429	34	14	of	of	ADP
iogr-429	34	15	possibly	possibly	ADV
iogr-429	34	16	correlated	correlate	VERB
iogr-429	34	17	data	datum	NOUN
iogr-429	34	18	into	into	ADP
iogr-429	34	19	a	a	DET
iogr-429	34	20	smaller	small	ADJ
iogr-429	34	21	number	number	NOUN
iogr-429	34	22	of	of	ADP
iogr-429	34	23	uncorrelated	uncorrelated	ADJ
iogr-429	34	24	variables	variable	NOUN
iogr-429	34	25	called	call	VERB
iogr-429	34	26	principal	principal	ADJ
iogr-429	34	27	components	component	NOUN
iogr-429	34	28	.	.	PUNCT
iogr-429	35	1	klt	klt	NOUN
iogr-429	35	2	is	be	AUX
iogr-429	35	3	theoretically	theoretically	ADV
iogr-429	35	4	the	the	DET
iogr-429	35	5	optimum	optimum	ADJ
iogr-429	35	6	transform	transform	NOUN
iogr-429	35	7	for	for	ADP
iogr-429	35	8	given	give	VERB
iogr-429	35	9	data	datum	NOUN
iogr-429	35	10	in	in	ADP
iogr-429	35	11	least	least	ADJ
iogr-429	35	12	square	square	ADJ
iogr-429	35	13	terms	term	NOUN
iogr-429	35	14	.	.	PUNCT
iogr-429	36	1	but	but	CCONJ
iogr-429	36	2	for	for	ADP
iogr-429	36	3	the	the	DET
iogr-429	36	4	standard	standard	ADJ
iogr-429	36	5	klt	klt	NOUN
iogr-429	36	6	model	model	NOUN
iogr-429	36	7	,	,	PUNCT
iogr-429	36	8	it	it	PRON
iogr-429	36	9	is	be	AUX
iogr-429	36	10	necessary	necessary	ADJ
iogr-429	36	11	to	to	PART
iogr-429	36	12	carry	carry	VERB
iogr-429	36	13	out	out	ADP
iogr-429	36	14	an	an	DET
iogr-429	36	15	eigendecomposition	eigendecomposition	NOUN
iogr-429	36	16	of	of	ADP
iogr-429	36	17	the	the	DET
iogr-429	36	18	covariance	covariance	NOUN
iogr-429	36	19	matrix	matrix	NOUN
iogr-429	36	20	of	of	ADP
iogr-429	36	21	the	the	DET
iogr-429	36	22	random	random	ADJ
iogr-429	36	23	field	field	NOUN
iogr-429	36	24	,	,	PUNCT
iogr-429	36	25	which	which	PRON
iogr-429	36	26	is	be	AUX
iogr-429	36	27	expensive	expensive	ADJ
iogr-429	36	28	for	for	ADP
iogr-429	36	29	large	large	ADJ
iogr-429	36	30	models	model	NOUN
iogr-429	36	31	.	.	PUNCT
iogr-429	37	1	in	in	ADP
iogr-429	37	2	this	this	DET
iogr-429	37	3	research	research	NOUN
iogr-429	37	4	study	study	NOUN
iogr-429	37	5	,	,	PUNCT
iogr-429	37	6	we	we	PRON
iogr-429	37	7	use	use	VERB
iogr-429	37	8	adjoint	adjoint	NOUN
iogr-429	37	9	method	method	NOUN
iogr-429	37	10	to	to	PART
iogr-429	37	11	calculate	calculate	VERB
iogr-429	37	12	the	the	DET
iogr-429	37	13	sensitivity	sensitivity	NOUN
iogr-429	37	14	matrix	matrix	NOUN
iogr-429	37	15	,	,	PUNCT
iogr-429	37	16	thus	thus	ADV
iogr-429	37	17	to	to	PART
iogr-429	37	18	reduce	reduce	VERB
iogr-429	37	19	the	the	DET
iogr-429	37	20	overall	overall	ADJ
iogr-429	37	21	computation	computation	NOUN
iogr-429	37	22	time	time	NOUN
iogr-429	37	23	during	during	ADP
iogr-429	37	24	simulation	simulation	NOUN
iogr-429	37	25	.	.	PUNCT
iogr-429	38	1	figure	figure	NOUN
iogr-429	38	2	1	1	NUM
iogr-429	38	3	shows	show	VERB
iogr-429	38	4	the	the	DET
iogr-429	38	5	work	work	NOUN
iogr-429	38	6	flow	flow	NOUN
iogr-429	38	7	for	for	ADP
iogr-429	38	8	the	the	DET
iogr-429	38	9	history	history	NOUN
iogr-429	38	10	matching	matching	NOUN
iogr-429	38	11	.	.	PUNCT
iogr-429	39	1	figure	figure	NOUN
iogr-429	39	2	1	1	NUM
iogr-429	39	3	—	—	PUNCT
iogr-429	39	4	history	history	NOUN
iogr-429	39	5	matching	matching	NOUN
iogr-429	39	6	flow	flow	NOUN
iogr-429	39	7	chart	chart	NOUN
iogr-429	39	8	.	.	PUNCT
iogr-429	40	1	sensitivity	sensitivity	NOUN
iogr-429	40	2	calculation	calculation	NOUN
iogr-429	40	3	based	base	VERB
iogr-429	40	4	on	on	ADP
iogr-429	40	5	adjoint	adjoint	PROPN
iogr-429	40	6	method	method	NOUN
iogr-429	40	7	the	the	DET
iogr-429	40	8	simulator	simulator	NOUN
iogr-429	40	9	used	use	VERB
iogr-429	40	10	in	in	ADP
iogr-429	40	11	ajoint	ajoint	NOUN
iogr-429	40	12	-	-	PUNCT
iogr-429	40	13	based	base	VERB
iogr-429	40	14	sensitivity	sensitivity	NOUN
iogr-429	40	15	calculation	calculation	NOUN
iogr-429	40	16	is	be	AUX
iogr-429	40	17	based	base	VERB
iogr-429	40	18	on	on	ADP
iogr-429	40	19	fully	fully	ADV
iogr-429	40	20	implicit	implicit	ADJ
iogr-429	40	21	finite	finite	ADJ
iogr-429	40	22	-	-	ADJ
iogr-429	40	23	difference	difference	NOUN
iogr-429	40	24	method	method	NOUN
iogr-429	40	25	of	of	ADP
iogr-429	40	26	the	the	DET
iogr-429	40	27	two	two	NUM
iogr-429	40	28	-	-	PUNCT
iogr-429	40	29	phase	phase	NOUN
iogr-429	40	30	blackoil	blackoil	NOUN
iogr-429	40	31	model	model	NOUN
iogr-429	40	32	.	.	PUNCT
iogr-429	41	1	several	several	ADJ
iogr-429	41	2	literatures	literature	NOUN
iogr-429	41	3	refer	refer	VERB
iogr-429	41	4	to	to	ADP
iogr-429	41	5	the	the	DET
iogr-429	41	6	derivation	derivation	NOUN
iogr-429	41	7	of	of	ADP
iogr-429	41	8	adjoint	adjoint	NOUN
iogr-429	41	9	system	system	NOUN
iogr-429	41	10	with	with	ADP
iogr-429	41	11	fully	fully	ADV
iogr-429	41	12	implicit	implicit	ADJ
iogr-429	41	13	formulation	formulation	NOUN
iogr-429	41	14	(	(	PUNCT
iogr-429	41	15	wu	wu	PROPN
iogr-429	41	16	et	et	PROPN
iogr-429	41	17	al	al	PROPN
iogr-429	41	18	.	.	PROPN
iogr-429	41	19	1999	1999	NUM
iogr-429	41	20	;	;	PUNCT
iogr-429	41	21	li	li	PROPN
iogr-429	41	22	et	et	PROPN
iogr-429	41	23	al	al	PROPN
iogr-429	41	24	.	.	PROPN
iogr-429	41	25	2003	2003	NUM
iogr-429	41	26	)	)	PUNCT
iogr-429	41	27	.	.	PUNCT
iogr-429	42	1	in	in	ADP
iogr-429	42	2	this	this	DET
iogr-429	42	3	chapter	chapter	NOUN
iogr-429	42	4	,	,	PUNCT
iogr-429	42	5	i	i	PRON
iogr-429	42	6	briefly	briefly	ADV
iogr-429	42	7	show	show	VERB
iogr-429	42	8	the	the	DET
iogr-429	42	9	formulation	formulation	NOUN
iogr-429	42	10	of	of	ADP
iogr-429	42	11	adjoint	adjoint	PROPN
iogr-429	42	12	method	method	NOUN
iogr-429	42	13	,	,	PUNCT
iogr-429	42	14	used	use	VERB
iogr-429	42	15	in	in	ADP
iogr-429	42	16	the	the	DET
iogr-429	42	17	algorithm	algorithm	NOUN
iogr-429	42	18	for	for	ADP
iogr-429	42	19	sensitivity	sensitivity	NOUN
iogr-429	42	20	calculation	calculation	NOUN
iogr-429	42	21	.	.	PUNCT
iogr-429	43	1	first	first	ADJ
iogr-429	43	2	equation	equation	NOUN
iogr-429	43	3	derived	derive	VERB
iogr-429	43	4	from	from	ADP
iogr-429	43	5	the	the	DET
iogr-429	43	6	finitedifferent	finitedifferent	ADJ
iogr-429	43	7	equation	equation	NOUN
iogr-429	43	8	is	be	AUX
iogr-429	43	9	as	as	SCONJ
iogr-429	43	10	follows	follow	VERB
iogr-429	43	11	.	.	PUNCT
iogr-429	44	1	[	[	X
iogr-429	44	2	𝛻𝑦𝑛(𝑓𝑛)𝑇]𝜆𝑛	𝛻𝑦𝑛(𝑓𝑛)𝑇]𝜆𝑛	NOUN
iogr-429	44	3	=	=	SYM
iogr-429	44	4	−[𝛻𝑦𝑛(𝑓𝑛+1)𝑇]𝜆𝑛+1	−[𝛻𝑦𝑛(𝑓𝑛+1)𝑇]𝜆𝑛+1	NOUN
iogr-429	44	5	−	−	PROPN
iogr-429	44	6	𝛻𝑦𝑛𝛽,	𝛻𝑦𝑛𝛽,	NOUN
iogr-429	44	7	…	…	SYM
iogr-429	44	8	…	…	PUNCT
iogr-429	44	9	…	…	PUNCT
iogr-429	44	10	…	…	PUNCT
iogr-429	44	11	..	..	PUNCT
iogr-429	44	12	…	…	PUNCT
iogr-429	44	13	…	…	PUNCT
iogr-429	44	14	…	…	PUNCT
iogr-429	44	15	…	…	PUNCT
iogr-429	44	16	…	…	PUNCT
iogr-429	44	17	…	…	PUNCT
iogr-429	44	18	..	..	PUNCT
iogr-429	44	19	…	…	PUNCT
iogr-429	44	20	…	…	PUNCT
iogr-429	44	21	…	…	PUNCT
iogr-429	44	22	…	…	PUNCT
iogr-429	44	23	…	…	PUNCT
iogr-429	44	24	…	…	SYM
iogr-429	44	25	.	.	NUM
iogr-429	44	26	…	…	PUNCT
iogr-429	44	27	…	…	PUNCT
iogr-429	44	28	…	…	PUNCT
iogr-429	44	29	…	…	SYM
iogr-429	44	30	(1	(1	X
iogr-429	44	31	)	)	PUNCT
iogr-429	44	32	where	where	SCONJ
iogr-429	44	33	𝜆𝑛	𝜆𝑛	NOUN
iogr-429	44	34	is	be	AUX
iogr-429	44	35	the	the	DET
iogr-429	44	36	vector	vector	NOUN
iogr-429	44	37	of	of	ADP
iogr-429	44	38	adjoint	adjoint	NOUN
iogr-429	44	39	variables	variable	NOUN
iogr-429	44	40	at	at	ADP
iogr-429	44	41	timestep	timestep	NOUN
iogr-429	44	42	n	n	CCONJ
iogr-429	44	43	,	,	PUNCT
iogr-429	44	44	and	and	CCONJ
iogr-429	44	45	given	give	VERB
iogr-429	44	46	by	by	ADP
iogr-429	44	47	𝜆𝑛	𝜆𝑛	NOUN
iogr-429	44	48	=	=	PUNCT
iogr-429	45	1	[	[	X
iogr-429	45	2	𝜆1	𝜆1	NOUN
iogr-429	45	3	𝑛	𝑛	PROPN
iogr-429	45	4	,	,	PUNCT
iogr-429	45	5	𝜆2	𝜆2	NOUN
iogr-429	45	6	𝑛	𝑛	PROPN
iogr-429	45	7	,	,	PUNCT
iogr-429	45	8	…	…	PUNCT
iogr-429	45	9	,	,	PUNCT
iogr-429	45	10	𝜆2𝑁	𝜆2𝑁	NOUN
iogr-429	45	11	𝑛]𝑇,	𝑛]𝑇,	NUM
iogr-429	45	12	…	…	NUM
iogr-429	45	13	…	…	SYM
iogr-429	45	14	…	…	PUNCT
iogr-429	45	15	…	…	PUNCT
iogr-429	45	16	…	…	PUNCT
iogr-429	45	17	…	…	PUNCT
iogr-429	45	18	…	…	PUNCT
iogr-429	45	19	..	..	PUNCT
iogr-429	45	20	…	…	PUNCT
iogr-429	45	21	…	…	PUNCT
iogr-429	45	22	…	…	PUNCT
iogr-429	45	23	…	…	PUNCT
iogr-429	45	24	…	…	PUNCT
iogr-429	45	25	…	…	PUNCT
iogr-429	45	26	..	..	PUNCT
iogr-429	45	27	…	…	PUNCT
iogr-429	45	28	…	…	PUNCT
iogr-429	45	29	..	..	PUNCT
iogr-429	45	30	…	…	PUNCT
iogr-429	45	31	.	.	NUM
iogr-429	45	32	…	…	PUNCT
iogr-429	45	33	…	…	PUNCT
iogr-429	45	34	…	…	PUNCT
iogr-429	45	35	…	…	PUNCT
iogr-429	45	36	…	…	PUNCT
iogr-429	45	37	…	…	PUNCT
iogr-429	45	38	…	…	PUNCT
iogr-429	45	39	…	…	PUNCT
iogr-429	45	40	…	…	PUNCT
iogr-429	45	41	…	…	PUNCT
iogr-429	45	42	…	…	PUNCT
iogr-429	45	43	..	..	PUNCT
iogr-429	45	44	(2	(2	NUM
iogr-429	45	45	)	)	PUNCT
iogr-429	45	46	where	where	SCONJ
iogr-429	45	47	𝑁	𝑁	PROPN
iogr-429	45	48	is	be	AUX
iogr-429	45	49	number	number	NOUN
iogr-429	45	50	of	of	ADP
iogr-429	45	51	gridblock	gridblock	NOUN
iogr-429	45	52	.	.	PUNCT
iogr-429	46	1	returning	return	VERB
iogr-429	46	2	to	to	ADP
iogr-429	46	3	eq	eq	NOUN
iogr-429	46	4	.	.	PROPN
iogr-429	46	5	1	1	NUM
iogr-429	46	6	,	,	PUNCT
iogr-429	46	7	[	[	X
iogr-429	46	8	𝛻𝑦𝑛(𝑓𝑛)𝑇	𝛻𝑦𝑛(𝑓𝑛)𝑇	NOUN
iogr-429	46	9	]	]	PUNCT
iogr-429	46	10	is	be	AUX
iogr-429	46	11	transpose	transpose	NOUN
iogr-429	46	12	of	of	ADP
iogr-429	46	13	jacobian	jacobian	ADJ
iogr-429	46	14	matrix	matrix	NOUN
iogr-429	46	15	at	at	ADP
iogr-429	46	16	𝑛	𝑛	PROPN
iogr-429	46	17	,	,	PUNCT
iogr-429	46	18	which	which	PRON
iogr-429	46	19	can	can	AUX
iogr-429	46	20	be	be	AUX
iogr-429	46	21	extracted	extract	VERB
iogr-429	46	22	from	from	ADP
iogr-429	46	23	forward	forward	ADJ
iogr-429	46	24	simulation	simulation	NOUN
iogr-429	46	25	.	.	PUNCT
iogr-429	47	1	[	[	X
iogr-429	47	2	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	PROPN
iogr-429	47	3	]	]	X
iogr-429	47	4	is	be	AUX
iogr-429	47	5	the	the	DET
iogr-429	47	6	gradient	gradient	ADJ
iogr-429	47	7	matrix	matrix	NOUN
iogr-429	47	8	(	(	PUNCT
iogr-429	47	9	derivative	derivative	NOUN
iogr-429	47	10	of	of	ADP
iogr-429	47	11	finitedifference	finitedifference	NOUN
iogr-429	47	12	equation	equation	NOUN
iogr-429	47	13	at	at	ADP
iogr-429	47	14	𝑛	𝑛	PROPN
iogr-429	47	15	+	+	NOUN
iogr-429	47	16	1	1	NUM
iogr-429	47	17	with	with	ADP
iogr-429	47	18	respect	respect	NOUN
iogr-429	47	19	to	to	ADP
iogr-429	47	20	the	the	DET
iogr-429	47	21	primary	primary	ADJ
iogr-429	47	22	variables	variable	NOUN
iogr-429	47	23	at	at	ADP
iogr-429	47	24	𝑛	𝑛	NOUN
iogr-429	47	25	)	)	PUNCT
iogr-429	47	26	.	.	PUNCT
iogr-429	48	1	𝛻𝑦𝑛𝛽	𝛻𝑦𝑛𝛽	PROPN
iogr-429	48	2	is	be	AUX
iogr-429	48	3	the	the	DET
iogr-429	48	4	sensitivity	sensitivity	NOUN
iogr-429	48	5	matrix	matrix	NOUN
iogr-429	48	6	with	with	ADP
iogr-429	48	7	respect	respect	NOUN
iogr-429	48	8	to	to	ADP
iogr-429	48	9	the	the	DET
iogr-429	48	10	primary	primary	ADJ
iogr-429	48	11	variable	variable	NOUN
iogr-429	48	12	.	.	PUNCT
iogr-429	49	1	using	use	VERB
iogr-429	49	2	following	follow	VERB
iogr-429	49	3	initial	initial	ADJ
iogr-429	49	4	and	and	CCONJ
iogr-429	49	5	boundary	boundary	ADJ
iogr-429	49	6	conditions	condition	NOUN
iogr-429	49	7	,	,	PUNCT
iogr-429	49	8	eq	eq	NOUN
iogr-429	49	9	.	.	PROPN
iogr-429	49	10	1	1	NUM
iogr-429	49	11	can	can	AUX
iogr-429	49	12	be	be	AUX
iogr-429	49	13	solved	solve	VERB
iogr-429	49	14	backwards	backwards	ADV
iogr-429	49	15	in	in	ADP
iogr-429	49	16	time	time	NOUN
iogr-429	49	17	for	for	ADP
iogr-429	49	18	n	n	NOUN
iogr-429	49	19	=	=	NOUN
iogr-429	49	20	l	l	NOUN
iogr-429	49	21	,	,	PUNCT
iogr-429	49	22	l-1	l-1	NUM
iogr-429	49	23	,	,	PUNCT
iogr-429	49	24	…	…	PUNCT
iogr-429	49	25	,	,	PUNCT
iogr-429	49	26	1	1	X
iogr-429	49	27	.	.	PUNCT
iogr-429	50	1	the	the	DET
iogr-429	50	2	initial	initial	ADJ
iogr-429	50	3	condition	condition	NOUN
iogr-429	50	4	and	and	CCONJ
iogr-429	50	5	boundary	boundary	ADJ
iogr-429	50	6	condition	condition	NOUN
iogr-429	50	7	are	be	AUX
iogr-429	50	8	fixed	fix	VERB
iogr-429	50	9	.	.	PUNCT
iogr-429	51	1	𝑑𝑦0	𝑑𝑦0	PROPN
iogr-429	51	2	=	=	SYM
iogr-429	51	3	0.	0.	X
iogr-429	51	4	…	…	PROPN
iogr-429	51	5	…	…	PUNCT
iogr-429	51	6	…	…	SYM
iogr-429	51	7	.	.	NUM
iogr-429	51	8	…	…	PUNCT
iogr-429	51	9	…	…	PUNCT
iogr-429	51	10	…	…	PUNCT
iogr-429	51	11	…	…	SYM
iogr-429	51	12	.	.	NUM
iogr-429	51	13	…	…	PUNCT
iogr-429	51	14	…	…	PUNCT
iogr-429	51	15	…	…	PUNCT
iogr-429	51	16	…	…	PUNCT
iogr-429	51	17	…	…	PUNCT
iogr-429	51	18	…	…	PUNCT
iogr-429	51	19	…	…	PUNCT
iogr-429	51	20	…	…	PUNCT
iogr-429	51	21	…	…	PUNCT
iogr-429	51	22	…	…	PUNCT
iogr-429	51	23	…	…	PUNCT
iogr-429	51	24	…	…	PUNCT
iogr-429	51	25	…	…	PUNCT
iogr-429	51	26	…	…	PUNCT
iogr-429	51	27	…	…	PUNCT
iogr-429	51	28	…	…	PUNCT
iogr-429	51	29	…	…	PUNCT
iogr-429	51	30	…	…	PUNCT
iogr-429	51	31	…	…	PUNCT
iogr-429	51	32	…	…	PUNCT
iogr-429	51	33	…	…	PUNCT
iogr-429	51	34	…	…	PUNCT
iogr-429	51	35	…	…	PUNCT
iogr-429	51	36	…	…	PUNCT
iogr-429	51	37	…	…	PUNCT
iogr-429	51	38	…	…	PUNCT
iogr-429	51	39	…	…	PUNCT
iogr-429	51	40	…	…	PUNCT
iogr-429	51	41	…	…	PUNCT
iogr-429	51	42	(3	(3	X
iogr-429	51	43	)	)	PUNCT
iogr-429	51	44	the	the	DET
iogr-429	51	45	boundary	boundary	ADJ
iogr-429	51	46	condition	condition	NOUN
iogr-429	51	47	is	be	AUX
iogr-429	51	48	as	as	SCONJ
iogr-429	51	49	follows	follow	VERB
iogr-429	51	50	.	.	PUNCT
iogr-429	52	1	3	3	NUM
iogr-429	52	2	𝜆𝐿+1	𝜆𝐿+1	NOUN
iogr-429	52	3	=	=	SYM
iogr-429	52	4	0.	0.	X
iogr-429	52	5	…	…	PROPN
iogr-429	52	6	…	…	PUNCT
iogr-429	52	7	…	…	SYM
iogr-429	52	8	.	.	NUM
iogr-429	52	9	…	…	PUNCT
iogr-429	52	10	…	…	PUNCT
iogr-429	52	11	…	…	PUNCT
iogr-429	52	12	…	…	PUNCT
iogr-429	52	13	…	…	PUNCT
iogr-429	52	14	…	…	PUNCT
iogr-429	52	15	…	…	PUNCT
iogr-429	52	16	…	…	PUNCT
iogr-429	52	17	…	…	PUNCT
iogr-429	52	18	…	…	PUNCT
iogr-429	52	19	…	…	PUNCT
iogr-429	52	20	…	…	PUNCT
iogr-429	52	21	…	…	PUNCT
iogr-429	52	22	…	…	PUNCT
iogr-429	52	23	…	…	PUNCT
iogr-429	52	24	…	…	PUNCT
iogr-429	52	25	…	…	PUNCT
iogr-429	52	26	…	…	PUNCT
iogr-429	52	27	…	…	PUNCT
iogr-429	52	28	…	…	PUNCT
iogr-429	52	29	…	…	PUNCT
iogr-429	52	30	…	…	PUNCT
iogr-429	52	31	…	…	PUNCT
iogr-429	52	32	…	…	PUNCT
iogr-429	52	33	…	…	PUNCT
iogr-429	52	34	…	…	PUNCT
iogr-429	52	35	…	…	PUNCT
iogr-429	52	36	…	…	PUNCT
iogr-429	52	37	…	…	PUNCT
iogr-429	52	38	…	…	PUNCT
iogr-429	52	39	…	…	PUNCT
iogr-429	52	40	…	…	PUNCT
iogr-429	52	41	…	…	PUNCT
iogr-429	52	42	(4	(4	NOUN
iogr-429	52	43	)	)	PUNCT
iogr-429	52	44	the	the	DET
iogr-429	52	45	gradient	gradient	NOUN
iogr-429	52	46	matrix	matrix	NOUN
iogr-429	52	47	,	,	PUNCT
iogr-429	52	48	[	[	X
iogr-429	52	49	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	PROPN
iogr-429	52	50	]	]	X
iogr-429	52	51	is	be	AUX
iogr-429	52	52	the	the	DET
iogr-429	52	53	derivative	derivative	NOUN
iogr-429	52	54	of	of	ADP
iogr-429	52	55	accumulation	accumulation	NOUN
iogr-429	52	56	term	term	NOUN
iogr-429	52	57	at	at	ADP
iogr-429	52	58	𝑛	𝑛	PROPN
iogr-429	52	59	,	,	PUNCT
iogr-429	52	60	because	because	SCONJ
iogr-429	52	61	all	all	DET
iogr-429	52	62	terms	term	NOUN
iogr-429	52	63	in	in	ADP
iogr-429	52	64	𝑓𝑛+1	𝑓𝑛+1	PROPN
iogr-429	52	65	are	be	AUX
iogr-429	52	66	independent	independent	ADJ
iogr-429	52	67	to	to	ADP
iogr-429	52	68	the	the	DET
iogr-429	52	69	primary	primary	ADJ
iogr-429	52	70	variables	variable	NOUN
iogr-429	52	71	at	at	ADP
iogr-429	52	72	𝑛	𝑛	PROPN
iogr-429	52	73	except	except	SCONJ
iogr-429	52	74	for	for	ADP
iogr-429	52	75	the	the	DET
iogr-429	52	76	accumulation	accumulation	NOUN
iogr-429	52	77	at	at	ADP
iogr-429	52	78	𝑛	𝑛	PRON
iogr-429	52	79	as	as	SCONJ
iogr-429	52	80	shown	show	VERB
iogr-429	52	81	in	in	ADP
iogr-429	52	82	eq	eq	ADJ
iogr-429	52	83	.	.	PROPN
iogr-429	53	1	5	5	X
iogr-429	53	2	.	.	X
iogr-429	53	3	𝜕𝑓𝑛+1	𝜕𝑓𝑛+1	NOUN
iogr-429	53	4	𝜕𝑦𝑛	𝜕𝑦𝑛	PUNCT
iogr-429	53	5	=	=	SYM
iogr-429	53	6	𝜕{(𝑇𝑡𝑎𝑛𝑠×𝛻𝑝)𝑛+1−(𝐴𝑐𝑐𝑢𝑚𝑛+1−𝐴𝑐𝑐𝑢𝑚𝑛)−(𝑆𝑖𝑛𝑘/𝑆𝑜𝑢𝑟𝑐𝑒	𝜕{(𝑇𝑡𝑎𝑛𝑠×𝛻𝑝)𝑛+1−(𝐴𝑐𝑐𝑢𝑚𝑛+1−𝐴𝑐𝑐𝑢𝑚𝑛)−(𝑆𝑖𝑛𝑘/𝑆𝑜𝑢𝑟𝑐𝑒	NOUN
iogr-429	53	7	)	)	PUNCT
iogr-429	53	8	𝑛+1	𝑛+1	PROPN
iogr-429	53	9	}	}	PUNCT
iogr-429	53	10	𝜕𝑦𝑛	𝜕𝑦𝑛	NUM
iogr-429	53	11	.........	.........	PUNCT
iogr-429	53	12	…	…	PUNCT
iogr-429	53	13	…	…	PUNCT
iogr-429	53	14	…	…	PUNCT
iogr-429	53	15	…	…	PUNCT
iogr-429	53	16	…	…	PUNCT
iogr-429	53	17	…	…	PUNCT
iogr-429	53	18	…	…	PUNCT
iogr-429	53	19	…	…	PUNCT
iogr-429	53	20	…	…	PUNCT
iogr-429	53	21	…	…	PUNCT
iogr-429	53	22	…	…	PUNCT
iogr-429	53	23	…	…	PUNCT
iogr-429	53	24	…	…	PUNCT
iogr-429	53	25	..	..	PUNCT
iogr-429	53	26	(	(	PUNCT
iogr-429	53	27	5	5	NUM
iogr-429	53	28	)	)	PUNCT
iogr-429	53	29	hence	hence	ADV
iogr-429	53	30	,	,	PUNCT
iogr-429	53	31	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜,𝑖,𝑗	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜,𝑖,𝑗	PROPN
iogr-429	53	32	𝑛	𝑛	NOUN
iogr-429	53	33	)	)	PUNCT
iogr-429	53	34	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	NOUN
iogr-429	53	35	𝑛	𝑛	PROPN
iogr-429	53	36	=	=	SYM
iogr-429	53	37	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	PROPN
iogr-429	53	38	1	1	NUM
iogr-429	53	39	∆𝑡𝑛−1	∆𝑡𝑛−1	PROPN
iogr-429	53	40	𝑆𝑜,𝑖,𝑗	𝑆𝑜,𝑖,𝑗	PROPN
iogr-429	53	41	𝑛	𝑛	PROPN
iogr-429	53	42	(	(	PUNCT
iogr-429	53	43	𝜕𝜑𝑖,𝑗	𝜕𝜑𝑖,𝑗	PROPN
iogr-429	53	44	𝑛	𝑛	DET
iogr-429	53	45	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	ADJ
iogr-429	53	46	𝑛	𝑛	ADP
iogr-429	53	47	𝐵𝑜,𝑖,𝑗	𝐵𝑜,𝑖,𝑗	NOUN
iogr-429	53	48	𝑛−𝜑𝑖,𝑗	𝑛−𝜑𝑖,𝑗	PROPN
iogr-429	53	49	𝑛	𝑛	DET
iogr-429	53	50	𝜕𝐵𝑜,𝑖,𝑗	𝜕𝐵𝑜,𝑖,𝑗	NOUN
iogr-429	53	51	𝑛	𝑛	ADP
iogr-429	53	52	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	ADJ
iogr-429	53	53	𝑛	𝑛	DET
iogr-429	53	54	𝐵𝑜,𝑖,𝑗	𝐵𝑜,𝑖,𝑗	PROPN
iogr-429	53	55	𝑛2	𝑛2	NOUN
iogr-429	53	56	)	)	PUNCT
iogr-429	53	57	,	,	PUNCT
iogr-429	53	58	…	…	PUNCT
iogr-429	53	59	..........	..........	PUNCT
iogr-429	53	60	…	…	PUNCT
iogr-429	53	61	.	.	NUM
iogr-429	53	62	…	…	PUNCT
iogr-429	53	63	…	…	PUNCT
iogr-429	53	64	…	…	PUNCT
iogr-429	53	65	…	…	PUNCT
iogr-429	53	66	…	…	PUNCT
iogr-429	53	67	…	…	PUNCT
iogr-429	53	68	…	…	PUNCT
iogr-429	53	69	…	…	PUNCT
iogr-429	53	70	…	…	PUNCT
iogr-429	53	71	(6	(6	NUM
iogr-429	53	72	)	)	PUNCT
iogr-429	53	73	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤,𝑖,𝑗	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤,𝑖,𝑗	PART
iogr-429	53	74	𝑛	𝑛	NOUN
iogr-429	53	75	)	)	PUNCT
iogr-429	53	76	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	NOUN
iogr-429	53	77	𝑛	𝑛	PROPN
iogr-429	53	78	=	=	SYM
iogr-429	53	79	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	PROPN
iogr-429	53	80	1	1	NUM
iogr-429	53	81	∆𝑡𝑛−1	∆𝑡𝑛−1	PROPN
iogr-429	53	82	𝑆𝑤,𝑖,𝑗	𝑆𝑤,𝑖,𝑗	PROPN
iogr-429	53	83	𝑛	𝑛	PROPN
iogr-429	53	84	(	(	PUNCT
iogr-429	53	85	𝜕𝜑𝑖,𝑗	𝜕𝜑𝑖,𝑗	NOUN
iogr-429	53	86	𝑛	𝑛	DET
iogr-429	53	87	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	ADJ
iogr-429	53	88	𝑛	𝑛	ADP
iogr-429	53	89	𝐵𝑤,𝑖,𝑗	𝐵𝑤,𝑖,𝑗	NOUN
iogr-429	53	90	𝑛−𝜑𝑖,𝑗	𝑛−𝜑𝑖,𝑗	VERB
iogr-429	53	91	𝑛	𝑛	DET
iogr-429	53	92	𝜕𝐵𝑤,𝑖,𝑗	𝜕𝐵𝑤,𝑖,𝑗	NOUN
iogr-429	53	93	𝑛	𝑛	ADP
iogr-429	53	94	𝜕𝑝𝑖,𝑗	𝜕𝑝𝑖,𝑗	ADJ
iogr-429	53	95	𝑛	𝑛	DET
iogr-429	53	96	𝐵𝑤,𝑖,𝑗	𝐵𝑤,𝑖,𝑗	PROPN
iogr-429	53	97	𝑛2	𝑛2	NOUN
iogr-429	53	98	)	)	PUNCT
iogr-429	53	99	,	,	PUNCT
iogr-429	53	100	…	…	PUNCT
iogr-429	53	101	…	…	PUNCT
iogr-429	53	102	…	…	PUNCT
iogr-429	53	103	.......	.......	PUNCT
iogr-429	53	104	…	…	PUNCT
iogr-429	53	105	…	…	NUM
iogr-429	53	106	.	.	NUM
iogr-429	53	107	…	…	PUNCT
iogr-429	53	108	…	…	PUNCT
iogr-429	53	109	…	…	PUNCT
iogr-429	53	110	…	…	PUNCT
iogr-429	53	111	…	…	PUNCT
iogr-429	53	112	…	…	PUNCT
iogr-429	53	113	.(7	.(7	NUM
iogr-429	53	114	)	)	PUNCT
iogr-429	53	115	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜,𝑖,𝑗	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜,𝑖,𝑗	PROPN
iogr-429	53	116	𝑛	𝑛	NOUN
iogr-429	53	117	)	)	PUNCT
iogr-429	53	118	𝜕𝑆𝑤,𝑖,𝑗	𝜕𝑆𝑤,𝑖,𝑗	VERB
iogr-429	53	119	𝑛	𝑛	PRON
iogr-429	53	120	=	=	SYM
iogr-429	53	121	−∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	−∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	NOUN
iogr-429	53	122	1	1	NUM
iogr-429	53	123	∆𝑡𝑛−1	∆𝑡𝑛−1	PROPN
iogr-429	53	124	(	(	PUNCT
iogr-429	53	125	𝜑𝑖,𝑗	𝜑𝑖,𝑗	ADV
iogr-429	53	126	𝑛	𝑛	DET
iogr-429	53	127	𝐵𝑜,𝑖,𝑗	𝐵𝑜,𝑖,𝑗	PROPN
iogr-429	53	128	𝑛),	𝑛),	NOUN
iogr-429	53	129	…	…	X
iogr-429	53	130	…	…	PUNCT
iogr-429	53	131	…	…	PUNCT
iogr-429	53	132	…	…	PUNCT
iogr-429	53	133	…	…	PUNCT
iogr-429	53	134	…	…	PUNCT
iogr-429	53	135	…	…	PUNCT
iogr-429	53	136	......	......	PUNCT
iogr-429	53	137	…	…	PUNCT
iogr-429	53	138	…	…	PUNCT
iogr-429	53	139	…	…	SYM
iogr-429	53	140	.	.	NUM
iogr-429	53	141	…	…	PUNCT
iogr-429	53	142	…	…	PUNCT
iogr-429	53	143	…	…	PUNCT
iogr-429	53	144	..	..	PUNCT
iogr-429	53	145	…	…	PUNCT
iogr-429	53	146	…	…	PUNCT
iogr-429	53	147	…	…	PUNCT
iogr-429	53	148	…	…	PUNCT
iogr-429	53	149	…	…	PUNCT
iogr-429	53	150	…	…	PUNCT
iogr-429	53	151	.(8	.(8	NUM
iogr-429	53	152	)	)	PUNCT
iogr-429	53	153	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤,𝑖,𝑗	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤,𝑖,𝑗	PART
iogr-429	53	154	𝑛	𝑛	NOUN
iogr-429	53	155	)	)	PUNCT
iogr-429	53	156	𝜕𝑆𝑤,𝑖,𝑗	𝜕𝑆𝑤,𝑖,𝑗	VERB
iogr-429	53	157	𝑛	𝑛	PRON
iogr-429	53	158	=	=	SYM
iogr-429	53	159	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	∆𝑥𝑖,𝑗∆𝑦𝑖,𝑗∆𝑧𝑖,𝑗	PROPN
iogr-429	53	160	1	1	NUM
iogr-429	53	161	∆𝑡𝑛−1	∆𝑡𝑛−1	PROPN
iogr-429	53	162	(	(	PUNCT
iogr-429	53	163	𝜑𝑖,𝑗	𝜑𝑖,𝑗	PUNCT
iogr-429	53	164	𝑛	𝑛	PROPN
iogr-429	53	165	𝐵𝑤,𝑖,𝑗	𝐵𝑤,𝑖,𝑗	PROPN
iogr-429	53	166	𝑛).	𝑛).	PROPN
iogr-429	53	167	…	…	NUM
iogr-429	53	168	........	........	PUNCT
iogr-429	53	169	…	…	PUNCT
iogr-429	53	170	…	…	PUNCT
iogr-429	53	171	…	…	PUNCT
iogr-429	53	172	…	…	PUNCT
iogr-429	53	173	…	…	PUNCT
iogr-429	53	174	…	…	PUNCT
iogr-429	53	175	…	…	SYM
iogr-429	53	176	.	.	NUM
iogr-429	53	177	…	…	PUNCT
iogr-429	53	178	…	…	PUNCT
iogr-429	53	179	…	…	PUNCT
iogr-429	53	180	…	…	SYM
iogr-429	53	181	.	.	NUM
iogr-429	53	182	…	…	PUNCT
iogr-429	53	183	…	…	PUNCT
iogr-429	53	184	…	…	PUNCT
iogr-429	53	185	…	…	PUNCT
iogr-429	53	186	…	…	PUNCT
iogr-429	53	187	…	…	PUNCT
iogr-429	53	188	…	…	PUNCT
iogr-429	53	189	..	..	PUNCT
iogr-429	53	190	(9	(9	NOUN
iogr-429	53	191	)	)	PUNCT
iogr-429	54	1	the	the	DET
iogr-429	54	2	gradient	gradient	NOUN
iogr-429	54	3	matrix	matrix	NOUN
iogr-429	54	4	,	,	PUNCT
iogr-429	54	5	[	[	X
iogr-429	54	6	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	NOUN
iogr-429	54	7	]	]	PUNCT
iogr-429	54	8	form	form	VERB
iogr-429	54	9	the	the	DET
iogr-429	54	10	following	follow	VERB
iogr-429	54	11	matrix	matrix	NOUN
iogr-429	54	12	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	𝛻𝑦𝑛(𝑓𝑛+1)𝑇	PROPN
iogr-429	54	13	=	=	SYM
iogr-429	54	14	𝜕(𝐴𝑐𝑐𝑢𝑚𝑛)𝑇	𝜕(𝐴𝑐𝑐𝑢𝑚𝑛)𝑇	PROPN
iogr-429	54	15	𝜕𝑦𝑛	𝜕𝑦𝑛	X
iogr-429	55	1	=	=	SYM
iogr-429	56	1	[	[	PUNCT
iogr-429	56	2	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜	INTJ
iogr-429	56	3	𝑛)𝑇	𝑛)𝑇	ADJ
iogr-429	56	4	𝜕𝑝𝑛	𝜕𝑝𝑛	ADJ
iogr-429	56	5	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤	PROPN
iogr-429	56	6	𝑛)𝑇	𝑛)𝑇	NOUN
iogr-429	56	7	𝜕𝑝𝑛	𝜕𝑝𝑛	ADP
iogr-429	56	8	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜	𝜕(𝐴𝑐𝑐𝑢𝑚𝑜	PROPN
iogr-429	56	9	𝑛)𝑇	𝑛)𝑇	ADJ
iogr-429	56	10	𝜕𝑆𝑤	𝜕𝑆𝑤	NOUN
iogr-429	56	11	𝑛	𝑛	PRON
iogr-429	56	12	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤	𝜕(𝐴𝑐𝑐𝑢𝑚𝑤	PROPN
iogr-429	56	13	𝑛)𝑇	𝑛)𝑇	ADJ
iogr-429	56	14	𝜕𝑆𝑤	𝜕𝑆𝑤	NOUN
iogr-429	56	15	𝑛	𝑛	X
iogr-429	56	16	]	]	PUNCT
iogr-429	56	17	.	.	PUNCT
iogr-429	57	1	…	…	PUNCT
iogr-429	57	2	…	…	PUNCT
iogr-429	57	3	…	…	PUNCT
iogr-429	57	4	......	......	PUNCT
iogr-429	57	5	…	…	PUNCT
iogr-429	57	6	.	.	NUM
iogr-429	58	1	…	…	PUNCT
iogr-429	58	2	…	…	PUNCT
iogr-429	58	3	…	…	PUNCT
iogr-429	58	4	…	…	PUNCT
iogr-429	58	5	…	…	PUNCT
iogr-429	58	6	…	…	PUNCT
iogr-429	58	7	…	…	PUNCT
iogr-429	58	8	…	…	PUNCT
iogr-429	58	9	…	…	PUNCT
iogr-429	58	10	…	…	PUNCT
iogr-429	58	11	..	..	PUNCT
iogr-429	58	12	(10	(10	PUNCT
iogr-429	58	13	)	)	PUNCT
iogr-429	58	14	because	because	SCONJ
iogr-429	58	15	𝛽	𝛽	NOUN
iogr-429	58	16	is	be	AUX
iogr-429	58	17	assumed	assume	VERB
iogr-429	58	18	as	as	ADP
iogr-429	58	19	bottomhole	bottomhole	NOUN
iogr-429	58	20	pressure	pressure	NOUN
iogr-429	58	21	at	at	ADP
iogr-429	58	22	injector	injector	NOUN
iogr-429	58	23	and	and	CCONJ
iogr-429	58	24	water	water	NOUN
iogr-429	58	25	cut	cut	NOUN
iogr-429	58	26	at	at	ADP
iogr-429	58	27	producer	producer	NOUN
iogr-429	58	28	in	in	ADP
iogr-429	58	29	this	this	DET
iogr-429	58	30	project	project	NOUN
iogr-429	58	31	,	,	PUNCT
iogr-429	58	32	𝛻𝑦𝑛𝛽	𝛻𝑦𝑛𝛽	PROPN
iogr-429	58	33	can	can	AUX
iogr-429	58	34	be	be	AUX
iogr-429	58	35	analytically	analytically	ADV
iogr-429	58	36	calculated	calculate	VERB
iogr-429	58	37	by	by	ADP
iogr-429	58	38	using	use	VERB
iogr-429	58	39	following	follow	VERB
iogr-429	58	40	formulation	formulation	NOUN
iogr-429	58	41	𝑊𝐶𝑇	𝑊𝐶𝑇	NOUN
iogr-429	58	42	=	=	SYM
iogr-429	59	1	𝑘𝑟𝑤𝜇𝑜𝐵𝑜	𝑘𝑟𝑤𝜇𝑜𝐵𝑜	PROPN
iogr-429	59	2	𝑘𝑟𝑜𝜇𝑤𝐵𝑤+𝑘𝑟𝑤𝜇𝑜𝐵𝑜	𝑘𝑟𝑜𝜇𝑤𝐵𝑤+𝑘𝑟𝑤𝜇𝑜𝐵𝑜	NOUN
iogr-429	59	3	,	,	PUNCT
iogr-429	59	4	…	…	PUNCT
iogr-429	59	5	…	…	PUNCT
iogr-429	59	6	…	…	PUNCT
iogr-429	59	7	…	…	PUNCT
iogr-429	59	8	…	…	PUNCT
iogr-429	59	9	…	…	PUNCT
iogr-429	59	10	…	…	PUNCT
iogr-429	59	11	…	…	PUNCT
iogr-429	59	12	…	…	PUNCT
iogr-429	59	13	…	…	PUNCT
iogr-429	59	14	…	…	PUNCT
iogr-429	59	15	…	…	PUNCT
iogr-429	59	16	...	...	PUNCT
iogr-429	59	17	…	…	PUNCT
iogr-429	59	18	…	…	PUNCT
iogr-429	59	19	…	…	PUNCT
iogr-429	59	20	…	…	PUNCT
iogr-429	59	21	…	…	PUNCT
iogr-429	59	22	…	…	PUNCT
iogr-429	59	23	…	…	PUNCT
iogr-429	59	24	…	…	PUNCT
iogr-429	59	25	…	…	PUNCT
iogr-429	59	26	…	…	PUNCT
iogr-429	59	27	…	…	PUNCT
iogr-429	59	28	…	…	PUNCT
iogr-429	59	29	…	…	PUNCT
iogr-429	59	30	..	..	PUNCT
iogr-429	59	31	…	…	PUNCT
iogr-429	59	32	…	…	PUNCT
iogr-429	59	33	…	…	PUNCT
iogr-429	59	34	(	(	PUNCT
iogr-429	59	35	11	11	NUM
iogr-429	59	36	)	)	PUNCT
iogr-429	59	37	𝑝𝑤𝑓,𝑖,𝑗	𝑝𝑤𝑓,𝑖,𝑗	PROPN
iogr-429	59	38	=	=	PRON
iogr-429	59	39	𝑝𝑖,𝑗	𝑝𝑖,𝑗	NOUN
iogr-429	60	1	+	+	CCONJ
iogr-429	60	2	𝑙𝑛(𝑟𝑜,𝑖,𝑗/𝑟𝑤,𝑖,𝑗)+𝑠𝑖,𝑗	𝑙𝑛(𝑟𝑜,𝑖,𝑗/𝑟𝑤,𝑖,𝑗)+𝑠𝑖,𝑗	X
iogr-429	60	3	(	(	PUNCT
iogr-429	60	4	2𝜋)1.127×10−3ℎ𝑘𝑖,𝑗	2𝜋)1.127×10−3ℎ𝑘𝑖,𝑗	NUM
iogr-429	60	5	(	(	PUNCT
iogr-429	60	6	𝐵𝑚,𝑖,𝑗𝜇𝑚,𝑖,𝑗	𝐵𝑚,𝑖,𝑗𝜇𝑚,𝑖,𝑗	VERB
iogr-429	60	7	𝑘𝑟𝑚,𝑖,𝑗	𝑘𝑟𝑚,𝑖,𝑗	PROPN
iogr-429	60	8	)	)	PUNCT
iogr-429	60	9	𝑞𝑚,𝑖,𝑗,	𝑞𝑚,𝑖,𝑗,	PROPN
iogr-429	60	10	…	…	PUNCT
iogr-429	60	11	…	…	PUNCT
iogr-429	60	12	...........	...........	PUNCT
iogr-429	60	13	…	…	PUNCT
iogr-429	60	14	…	…	PUNCT
iogr-429	60	15	…	…	PUNCT
iogr-429	60	16	…	…	PUNCT
iogr-429	60	17	…	…	PUNCT
iogr-429	60	18	…	…	PUNCT
iogr-429	60	19	..	..	PUNCT
iogr-429	60	20	…	…	PUNCT
iogr-429	60	21	…	…	SYM
iogr-429	60	22	.	.	NUM
iogr-429	60	23	…	…	PUNCT
iogr-429	60	24	…	…	PUNCT
iogr-429	60	25	…	…	PUNCT
iogr-429	60	26	…	…	PUNCT
iogr-429	60	27	…	…	PUNCT
iogr-429	60	28	..	..	PUNCT
iogr-429	60	29	(12	(12	NUM
iogr-429	60	30	)	)	PUNCT
iogr-429	60	31	𝑟𝑜,𝑖,𝑗	𝑟𝑜,𝑖,𝑗	PROPN
iogr-429	60	32	=	=	SYM
iogr-429	60	33	0.14036√∆𝑥2	0.14036√∆𝑥2	PUNCT
iogr-429	60	34	+	+	CCONJ
iogr-429	60	35	∆𝑦2	∆𝑦2	PROPN
iogr-429	60	36	..	..	PUNCT
iogr-429	60	37	…	…	PUNCT
iogr-429	60	38	…	…	PUNCT
iogr-429	60	39	…	…	PUNCT
iogr-429	60	40	…	…	PUNCT
iogr-429	60	41	…	…	PUNCT
iogr-429	60	42	…	…	PUNCT
iogr-429	60	43	…	…	PUNCT
iogr-429	60	44	…	…	PUNCT
iogr-429	60	45	…	…	PUNCT
iogr-429	60	46	…	…	PUNCT
iogr-429	60	47	..	..	PUNCT
iogr-429	60	48	…	…	PUNCT
iogr-429	60	49	…	…	PUNCT
iogr-429	60	50	…	…	PUNCT
iogr-429	60	51	…	…	PUNCT
iogr-429	60	52	…	…	PUNCT
iogr-429	60	53	…	…	PUNCT
iogr-429	60	54	…	…	PUNCT
iogr-429	60	55	…	…	PUNCT
iogr-429	60	56	…	…	PUNCT
iogr-429	60	57	…	…	PUNCT
iogr-429	60	58	…	…	SYM
iogr-429	60	59	.	.	NUM
iogr-429	60	60	…	…	PUNCT
iogr-429	60	61	…	…	PUNCT
iogr-429	60	62	…	…	PUNCT
iogr-429	60	63	…	…	PUNCT
iogr-429	60	64	…	…	PUNCT
iogr-429	60	65	.(13	.(13	X
iogr-429	60	66	)	)	PUNCT
iogr-429	61	1	the	the	DET
iogr-429	61	2	adjoint	adjoint	NOUN
iogr-429	61	3	system	system	NOUN
iogr-429	61	4	is	be	AUX
iogr-429	61	5	ended	end	VERB
iogr-429	61	6	up	up	ADP
iogr-429	61	7	computing	computing	NOUN
iogr-429	61	8	as	as	SCONJ
iogr-429	61	9	shown	show	VERB
iogr-429	61	10	in	in	ADP
iogr-429	61	11	figure	figure	NOUN
iogr-429	61	12	2	2	NUM
iogr-429	61	13	.	.	PUNCT
iogr-429	62	1	the	the	DET
iogr-429	62	2	sensitivity	sensitivity	NOUN
iogr-429	62	3	coefficients	coefficient	VERB
iogr-429	62	4	for	for	ADP
iogr-429	62	5	𝐽	𝐽	PROPN
iogr-429	62	6	are	be	AUX
iogr-429	62	7	given	give	VERB
iogr-429	62	8	by	by	ADP
iogr-429	62	9	,	,	PUNCT
iogr-429	62	10	𝛻𝑚𝐽	𝛻𝑚𝐽	PROPN
iogr-429	62	11	=	=	SYM
iogr-429	63	1	𝛻𝑚𝛽	𝛻𝑚𝛽	PROPN
iogr-429	63	2	+	+	NOUN
iogr-429	63	3	∑	∑	PROPN
iogr-429	63	4	[	[	X
iogr-429	63	5	𝛻𝑚(𝑓𝑛)𝑇](𝜆𝑛)𝐿	𝛻𝑚(𝑓𝑛)𝑇](𝜆𝑛)𝐿	ADV
iogr-429	63	6	𝑛=1	𝑛=1	NOUN
iogr-429	63	7	.	.	PUNCT
iogr-429	63	8	…	…	PUNCT
iogr-429	63	9	…	…	PUNCT
iogr-429	63	10	…	…	PUNCT
iogr-429	63	11	…	…	PUNCT
iogr-429	63	12	…	…	PUNCT
iogr-429	63	13	…	…	PUNCT
iogr-429	63	14	..	..	PUNCT
iogr-429	63	15	…	…	PUNCT
iogr-429	63	16	…	…	PUNCT
iogr-429	63	17	…	…	PUNCT
iogr-429	63	18	…	…	PUNCT
iogr-429	63	19	…	…	PUNCT
iogr-429	63	20	…	…	PUNCT
iogr-429	63	21	…	…	PUNCT
iogr-429	63	22	…	…	PUNCT
iogr-429	63	23	…	…	PUNCT
iogr-429	63	24	…	…	PUNCT
iogr-429	63	25	…	…	PUNCT
iogr-429	63	26	…	…	PUNCT
iogr-429	63	27	…	…	PUNCT
iogr-429	63	28	…	…	PUNCT
iogr-429	63	29	…	…	PUNCT
iogr-429	63	30	…	…	PUNCT
iogr-429	63	31	…	…	PUNCT
iogr-429	63	32	…	…	PUNCT
iogr-429	63	33	…	…	PUNCT
iogr-429	63	34	(14	(14	X
iogr-429	63	35	)	)	PUNCT
iogr-429	63	36	we	we	PRON
iogr-429	63	37	already	already	ADV
iogr-429	63	38	know	know	VERB
iogr-429	63	39	𝜆𝑛	𝜆𝑛	NOUN
iogr-429	63	40	from	from	ADP
iogr-429	63	41	the	the	DET
iogr-429	63	42	computation	computation	NOUN
iogr-429	63	43	of	of	ADP
iogr-429	63	44	eq	eq	PROPN
iogr-429	63	45	.	.	PROPN
iogr-429	63	46	1	1	X
iogr-429	63	47	.	.	PUNCT
iogr-429	64	1	the	the	DET
iogr-429	64	2	gradient	gradient	ADJ
iogr-429	64	3	matrix	matrix	NOUN
iogr-429	64	4	,	,	PUNCT
iogr-429	64	5	[	[	X
iogr-429	64	6	𝛻𝑚(𝑓𝑛)𝑇	𝛻𝑚(𝑓𝑛)𝑇	X
iogr-429	64	7	]	]	X
iogr-429	64	8	is	be	AUX
iogr-429	64	9	𝑀	𝑀	PROPN
iogr-429	64	10	×	×	NOUN
iogr-429	64	11	2𝑁	2𝑁	ADJ
iogr-429	64	12	sparse	sparse	ADJ
iogr-429	64	13	matrix	matrix	NOUN
iogr-429	64	14	as	as	SCONJ
iogr-429	64	15	follows	follow	VERB
iogr-429	64	16	𝛻𝑘(𝑓	𝛻𝑘(𝑓	NOUN
iogr-429	64	17	𝑛)𝑇	𝑛)𝑇	NOUN
iogr-429	64	18	=	=	PUNCT
iogr-429	64	19	𝛻𝑘[(𝑇𝑡𝑎𝑛𝑠	𝛻𝑘[(𝑇𝑡𝑎𝑛𝑠	PROPN
iogr-429	64	20	×	×	PROPN
iogr-429	64	21	𝛻𝑝)𝑛]𝑇	𝛻𝑝)𝑛]𝑇	PROPN
iogr-429	65	1	=	=	PROPN
iogr-429	66	1	[	[	PUNCT
iogr-429	66	2	𝜕𝑓𝑜,1	𝜕𝑓𝑜,1	NUM
iogr-429	66	3	𝑛	𝑛	PRON
iogr-429	66	4	𝜕𝑘1	𝜕𝑘1	NOUN
iogr-429	66	5	𝜕𝑓𝑤,1	𝜕𝑓𝑤,1	NUM
iogr-429	66	6	𝑛	𝑛	DET
iogr-429	66	7	𝜕𝑘1	𝜕𝑘1	VERB
iogr-429	66	8	𝜕𝑓𝑜,1	𝜕𝑓𝑜,1	NUM
iogr-429	66	9	𝑛	𝑛	PROPN
iogr-429	66	10	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	11	𝜕𝑓𝑤,1	𝜕𝑓𝑤,1	NOUN
iogr-429	66	12	𝑛	𝑛	PRON
iogr-429	66	13	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	14	𝜕𝑓𝑜,2	𝜕𝑓𝑜,2	NUM
iogr-429	66	15	𝑛	𝑛	ADP
iogr-429	66	16	𝜕𝑘1	𝜕𝑘1	NOUN
iogr-429	66	17	𝜕𝑓𝑤,2	𝜕𝑓𝑤,2	NOUN
iogr-429	66	18	𝑛	𝑛	ADP
iogr-429	66	19	𝜕𝑘1	𝜕𝑘1	PROPN
iogr-429	66	20	𝜕𝑓𝑜,2	𝜕𝑓𝑜,2	NUM
iogr-429	66	21	𝑛	𝑛	ADP
iogr-429	66	22	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	23	𝜕𝑓𝑤,2	𝜕𝑓𝑤,2	NOUN
iogr-429	66	24	𝑛	𝑛	PRON
iogr-429	66	25	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	26	⋯	⋯	PROPN
iogr-429	66	27	𝜕𝑓𝑜,𝑁	𝜕𝑓𝑜,𝑁	PROPN
iogr-429	66	28	𝑛	𝑛	PRON
iogr-429	66	29	𝜕𝑘1	𝜕𝑘1	NOUN
iogr-429	66	30	𝜕𝑓𝑤,𝑁	𝜕𝑓𝑤,𝑁	ADJ
iogr-429	66	31	𝑛	𝑛	ADP
iogr-429	66	32	𝜕𝑘1	𝜕𝑘1	VERB
iogr-429	66	33	𝜕𝑓𝑜,𝑁	𝜕𝑓𝑜,𝑁	NUM
iogr-429	66	34	𝑛	𝑛	DET
iogr-429	66	35	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	36	𝜕𝑓𝑤,𝑁	𝜕𝑓𝑤,𝑁	NOUN
iogr-429	66	37	𝑛	𝑛	PRON
iogr-429	66	38	𝜕𝑘2	𝜕𝑘2	ADJ
iogr-429	66	39	⋮	⋮	NOUN
iogr-429	66	40	⋮	⋮	ADJ
iogr-429	66	41	⋮	⋮	NOUN
iogr-429	66	42	𝜕𝑓𝑜,1	𝜕𝑓𝑜,1	VERB
iogr-429	66	43	𝑛	𝑛	PROPN
iogr-429	66	44	𝜕𝑘𝑀	𝜕𝑘𝑀	NUM
iogr-429	66	45	𝜕𝑓𝑤,1	𝜕𝑓𝑤,1	NUM
iogr-429	66	46	𝑛	𝑛	ADP
iogr-429	66	47	𝜕𝑘𝑀	𝜕𝑘𝑀	PROPN
iogr-429	66	48	𝜕𝑓𝑜,2	𝜕𝑓𝑜,2	PROPN
iogr-429	66	49	𝑛	𝑛	ADP
iogr-429	66	50	𝜕𝑘𝑀	𝜕𝑘𝑀	NUM
iogr-429	66	51	𝜕𝑓𝑤,2	𝜕𝑓𝑤,2	NOUN
iogr-429	66	52	𝑛	𝑛	ADP
iogr-429	66	53	𝜕𝑘𝑀	𝜕𝑘𝑀	PROPN
iogr-429	66	54	⋯	⋯	PROPN
iogr-429	66	55	𝜕𝑓𝑜,𝑁	𝜕𝑓𝑜,𝑁	PROPN
iogr-429	66	56	𝑛	𝑛	ADP
iogr-429	66	57	𝜕𝑘𝑀	𝜕𝑘𝑀	PROPN
iogr-429	66	58	𝜕𝑓𝑤,𝑁	𝜕𝑓𝑤,𝑁	NOUN
iogr-429	66	59	𝑛	𝑛	ADP
iogr-429	66	60	𝜕𝑘𝑀	𝜕𝑘𝑀	PROPN
iogr-429	66	61	]	]	PUNCT
iogr-429	66	62	........	........	PUNCT
iogr-429	66	63	…	…	PUNCT
iogr-429	66	64	.(15	.(15	SYM
iogr-429	66	65	)	)	PUNCT
iogr-429	66	66	figure	figure	NOUN
iogr-429	66	67	3	3	NUM
iogr-429	66	68	shows	show	VERB
iogr-429	66	69	the	the	DET
iogr-429	66	70	computation	computation	NOUN
iogr-429	66	71	of	of	ADP
iogr-429	66	72	sensitivity	sensitivity	NOUN
iogr-429	66	73	matrix	matrix	NOUN
iogr-429	66	74	.	.	PUNCT
iogr-429	67	1	4	4	NUM
iogr-429	67	2	figure	figure	NOUN
iogr-429	67	3	2	2	NUM
iogr-429	67	4	—	—	PUNCT
iogr-429	67	5	computation	computation	NOUN
iogr-429	67	6	of	of	ADP
iogr-429	67	7	adjoint	adjoint	NOUN
iogr-429	67	8	system	system	NOUN
iogr-429	67	9	.	.	PUNCT
iogr-429	68	1	figure	figure	VERB
iogr-429	68	2	3	3	NUM
iogr-429	68	3	—	—	PUNCT
iogr-429	68	4	computation	computation	NOUN
iogr-429	68	5	of	of	ADP
iogr-429	68	6	sensitivity	sensitivity	NOUN
iogr-429	68	7	matrix	matrix	NOUN
iogr-429	68	8	.	.	PUNCT
iogr-429	69	1	minimization	minimization	NOUN
iogr-429	69	2	the	the	DET
iogr-429	69	3	levenberg	levenberg	PROPN
iogr-429	69	4	–	–	PUNCT
iogr-429	69	5	marquardt	marquardt	PROPN
iogr-429	69	6	algorithm	algorithm	PROPN
iogr-429	69	7	,	,	PUNCT
iogr-429	69	8	which	which	PRON
iogr-429	69	9	was	be	AUX
iogr-429	69	10	independently	independently	ADV
iogr-429	69	11	developed	develop	VERB
iogr-429	69	12	by	by	ADP
iogr-429	69	13	kenneth	kenneth	PROPN
iogr-429	69	14	levenberg	levenberg	PROPN
iogr-429	69	15	and	and	CCONJ
iogr-429	69	16	donald	donald	PROPN
iogr-429	69	17	marquardt	marquardt	PROPN
iogr-429	69	18	,	,	PUNCT
iogr-429	69	19	provides	provide	VERB
iogr-429	69	20	a	a	DET
iogr-429	69	21	numerical	numerical	ADJ
iogr-429	69	22	solution	solution	NOUN
iogr-429	69	23	to	to	ADP
iogr-429	69	24	the	the	DET
iogr-429	69	25	problem	problem	NOUN
iogr-429	69	26	of	of	ADP
iogr-429	69	27	minimizing	minimize	VERB
iogr-429	69	28	a	a	DET
iogr-429	69	29	nonlinear	nonlinear	ADJ
iogr-429	69	30	function	function	NOUN
iogr-429	69	31	.	.	PUNCT
iogr-429	70	1	it	it	PRON
iogr-429	70	2	is	be	AUX
iogr-429	70	3	fast	fast	ADJ
iogr-429	70	4	and	and	CCONJ
iogr-429	70	5	has	have	VERB
iogr-429	70	6	stable	stable	ADJ
iogr-429	70	7	convergence	convergence	NOUN
iogr-429	70	8	.	.	PUNCT
iogr-429	71	1	in	in	ADP
iogr-429	71	2	the	the	DET
iogr-429	71	3	artificial	artificial	ADJ
iogr-429	71	4	neural	neural	ADJ
iogr-429	71	5	-	-	PUNCT
iogr-429	71	6	networks	network	NOUN
iogr-429	71	7	field	field	NOUN
iogr-429	71	8	,	,	PUNCT
iogr-429	71	9	this	this	DET
iogr-429	71	10	algorithm	algorithm	NOUN
iogr-429	71	11	is	be	AUX
iogr-429	71	12	suitable	suitable	ADJ
iogr-429	71	13	for	for	ADP
iogr-429	71	14	training	training	NOUN
iogr-429	71	15	smalland	smalland	NOUN
iogr-429	71	16	medium	medium	ADJ
iogr-429	71	17	-	-	PUNCT
iogr-429	71	18	sized	sized	ADJ
iogr-429	71	19	problems	problem	NOUN
iogr-429	71	20	.	.	PUNCT
iogr-429	72	1	the	the	DET
iogr-429	72	2	levenberg	levenberg	PROPN
iogr-429	72	3	–	–	PUNCT
iogr-429	72	4	marquardt	marquardt	PROPN
iogr-429	72	5	algorithm	algorithm	NOUN
iogr-429	72	6	blends	blend	VERB
iogr-429	72	7	the	the	DET
iogr-429	72	8	steepest	steep	ADJ
iogr-429	72	9	descent	descent	NOUN
iogr-429	72	10	method	method	NOUN
iogr-429	72	11	and	and	CCONJ
iogr-429	72	12	the	the	DET
iogr-429	72	13	gauss	gauss	PROPN
iogr-429	72	14	–	–	PUNCT
iogr-429	72	15	newton	newton	PROPN
iogr-429	72	16	algorithm	algorithm	NOUN
iogr-429	72	17	.	.	PUNCT
iogr-429	73	1	fortunately	fortunately	ADV
iogr-429	73	2	,	,	PUNCT
iogr-429	73	3	it	it	PRON
iogr-429	73	4	inherits	inherit	VERB
iogr-429	73	5	the	the	DET
iogr-429	73	6	speed	speed	NOUN
iogr-429	73	7	advantage	advantage	NOUN
iogr-429	73	8	of	of	ADP
iogr-429	73	9	the	the	DET
iogr-429	73	10	gauss	gauss	PROPN
iogr-429	73	11	–	–	PUNCT
iogr-429	73	12	newton	newton	PROPN
iogr-429	73	13	algorithm	algorithm	NOUN
iogr-429	73	14	and	and	CCONJ
iogr-429	73	15	the	the	DET
iogr-429	73	16	stability	stability	NOUN
iogr-429	73	17	of	of	ADP
iogr-429	73	18	the	the	DET
iogr-429	73	19	steepest	steep	ADJ
iogr-429	73	20	descent	descent	NOUN
iogr-429	73	21	method	method	NOUN
iogr-429	73	22	.	.	PUNCT
iogr-429	74	1	it	it	PRON
iogr-429	74	2	’s	’	VERB
iogr-429	74	3	more	more	ADV
iogr-429	74	4	robust	robust	ADJ
iogr-429	74	5	than	than	ADP
iogr-429	74	6	the	the	DET
iogr-429	74	7	gauss	gauss	PROPN
iogr-429	74	8	–	–	PUNCT
iogr-429	74	9	newton	newton	PROPN
iogr-429	74	10	algorithm	algorithm	NOUN
iogr-429	74	11	,	,	PUNCT
iogr-429	74	12	because	because	SCONJ
iogr-429	74	13	in	in	ADP
iogr-429	74	14	many	many	ADJ
iogr-429	74	15	cases	case	NOUN
iogr-429	74	16	it	it	PRON
iogr-429	74	17	can	can	AUX
iogr-429	74	18	converge	converge	VERB
iogr-429	74	19	well	well	ADV
iogr-429	74	20	even	even	ADV
iogr-429	74	21	if	if	SCONJ
iogr-429	74	22	the	the	DET
iogr-429	74	23	error	error	NOUN
iogr-429	74	24	surface	surface	NOUN
iogr-429	74	25	is	be	AUX
iogr-429	74	26	much	much	ADV
iogr-429	74	27	more	more	ADV
iogr-429	74	28	complex	complex	ADJ
iogr-429	74	29	than	than	ADP
iogr-429	74	30	the	the	DET
iogr-429	74	31	quadratic	quadratic	ADJ
iogr-429	74	32	situation	situation	NOUN
iogr-429	74	33	.	.	PUNCT
iogr-429	75	1	although	although	SCONJ
iogr-429	75	2	the	the	DET
iogr-429	75	3	levenberg	levenberg	PROPN
iogr-429	75	4	marquardt	marquardt	PROPN
iogr-429	75	5	algorithm	algorithm	PROPN
iogr-429	75	6	tends	tend	VERB
iogr-429	75	7	to	to	PART
iogr-429	75	8	be	be	AUX
iogr-429	75	9	a	a	DET
iogr-429	75	10	bit	bit	NOUN
iogr-429	75	11	slower	slow	ADJ
iogr-429	75	12	than	than	ADP
iogr-429	75	13	gauss	gauss	ADJ
iogr-429	75	14	–	–	PUNCT
iogr-429	75	15	newton	newton	PROPN
iogr-429	75	16	algorithm	algorithm	NOUN
iogr-429	75	17	(	(	PUNCT
iogr-429	75	18	in	in	ADP
iogr-429	75	19	convergent	convergent	NOUN
iogr-429	75	20	situation	situation	NOUN
iogr-429	75	21	)	)	PUNCT
iogr-429	75	22	,	,	PUNCT
iogr-429	75	23	it	it	PRON
iogr-429	75	24	converges	converge	VERB
iogr-429	75	25	much	much	ADV
iogr-429	75	26	faster	fast	ADV
iogr-429	75	27	than	than	ADP
iogr-429	75	28	the	the	DET
iogr-429	75	29	steepest	steep	ADJ
iogr-429	75	30	descent	descent	NOUN
iogr-429	75	31	method	method	NOUN
iogr-429	75	32	.	.	PUNCT
iogr-429	76	1	the	the	DET
iogr-429	76	2	basic	basic	ADJ
iogr-429	76	3	idea	idea	NOUN
iogr-429	76	4	of	of	ADP
iogr-429	76	5	the	the	DET
iogr-429	76	6	levenberg	levenberg	PROPN
iogr-429	76	7	–	–	PUNCT
iogr-429	76	8	marquardt	marquardt	PROPN
iogr-429	76	9	algorithm	algorithm	NOUN
iogr-429	76	10	is	be	AUX
iogr-429	76	11	that	that	SCONJ
iogr-429	76	12	it	it	PRON
iogr-429	76	13	performs	perform	VERB
iogr-429	76	14	a	a	DET
iogr-429	76	15	combined	combined	ADJ
iogr-429	76	16	training	training	NOUN
iogr-429	76	17	process	process	NOUN
iogr-429	76	18	:	:	PUNCT
iogr-429	76	19	around	around	ADP
iogr-429	76	20	the	the	DET
iogr-429	76	21	area	area	NOUN
iogr-429	76	22	with	with	ADP
iogr-429	76	23	complex	complex	ADJ
iogr-429	76	24	curvature	curvature	NOUN
iogr-429	76	25	,	,	PUNCT
iogr-429	76	26	the	the	DET
iogr-429	76	27	levenberg	levenberg	PROPN
iogr-429	76	28	–	–	PUNCT
iogr-429	76	29	marquardt	marquardt	PROPN
iogr-429	76	30	algorithm	algorithm	PROPN
iogr-429	76	31	switches	switch	VERB
iogr-429	76	32	to	to	ADP
iogr-429	76	33	the	the	DET
iogr-429	76	34	steepest	steep	ADJ
iogr-429	76	35	descent	descent	NOUN
iogr-429	76	36	algorithm	algorithm	NOUN
iogr-429	76	37	,	,	PUNCT
iogr-429	76	38	until	until	SCONJ
iogr-429	76	39	the	the	DET
iogr-429	76	40	local	local	ADJ
iogr-429	76	41	curvature	curvature	NOUN
iogr-429	76	42	is	be	AUX
iogr-429	76	43	proper	proper	ADJ
iogr-429	76	44	to	to	PART
iogr-429	76	45	make	make	VERB
iogr-429	76	46	a	a	DET
iogr-429	76	47	quadratic	quadratic	ADJ
iogr-429	76	48	approximation	approximation	NOUN
iogr-429	76	49	;	;	PUNCT
iogr-429	76	50	then	then	ADV
iogr-429	76	51	it	it	PRON
iogr-429	76	52	approximately	approximately	ADV
iogr-429	76	53	becomes	become	VERB
iogr-429	76	54	the	the	DET
iogr-429	76	55	gauss	gauss	PROPN
iogr-429	76	56	–	–	PUNCT
iogr-429	76	57	newton	newton	PROPN
iogr-429	76	58	algorithm	algorithm	PROPN
iogr-429	76	59	,	,	PUNCT
iogr-429	76	60	which	which	PRON
iogr-429	76	61	can	can	AUX
iogr-429	76	62	speed	speed	VERB
iogr-429	76	63	up	up	ADP
iogr-429	76	64	the	the	DET
iogr-429	76	65	convergence	convergence	NOUN
iogr-429	76	66	significantly	significantly	ADV
iogr-429	76	67	.	.	PUNCT
iogr-429	77	1	5	5	NUM
iogr-429	77	2	gauss	gauss	ADJ
iogr-429	77	3	–	–	PUNCT
iogr-429	77	4	newton	newton	PROPN
iogr-429	77	5	algorithm	algorithm	PROPN
iogr-429	77	6	.	.	PUNCT
iogr-429	78	1	the	the	DET
iogr-429	78	2	relationship	relationship	NOUN
iogr-429	78	3	between	between	ADP
iogr-429	78	4	hessian	hessian	ADJ
iogr-429	78	5	matrix	matrix	NOUN
iogr-429	78	6	h	h	NOUN
iogr-429	78	7	and	and	CCONJ
iogr-429	78	8	jacobian	jacobian	ADJ
iogr-429	78	9	matrix	matrix	NOUN
iogr-429	78	10	j	j	PROPN
iogr-429	78	11	can	can	AUX
iogr-429	78	12	be	be	AUX
iogr-429	78	13	rewritten	rewrite	VERB
iogr-429	78	14	as	as	ADP
iogr-429	78	15	,	,	PUNCT
iogr-429	78	16	𝐻	𝐻	PROPN
iogr-429	78	17	=	=	SYM
iogr-429	78	18	𝐽𝑇𝐽.	𝐽𝑇𝐽.	X
iogr-429	78	19	…	…	NUM
iogr-429	78	20	…	…	PUNCT
iogr-429	78	21	…	…	PUNCT
iogr-429	78	22	…	…	PUNCT
iogr-429	78	23	…	…	PUNCT
iogr-429	78	24	…	…	PUNCT
iogr-429	78	25	…	…	PUNCT
iogr-429	78	26	…	…	PUNCT
iogr-429	78	27	…	…	PUNCT
iogr-429	78	28	…	…	PUNCT
iogr-429	78	29	…	…	PUNCT
iogr-429	78	30	…	…	PUNCT
iogr-429	78	31	…	…	PUNCT
iogr-429	78	32	…	…	PUNCT
iogr-429	78	33	…	…	PUNCT
iogr-429	78	34	…	…	PUNCT
iogr-429	78	35	…	…	PUNCT
iogr-429	78	36	…	…	PUNCT
iogr-429	78	37	…	…	PUNCT
iogr-429	78	38	…	…	PUNCT
iogr-429	78	39	…	…	PUNCT
iogr-429	78	40	…	…	PUNCT
iogr-429	78	41	…	…	PUNCT
iogr-429	78	42	…	…	PUNCT
iogr-429	78	43	..	..	PUNCT
iogr-429	78	44	…	…	PUNCT
iogr-429	78	45	…	…	PUNCT
iogr-429	78	46	…	…	PUNCT
iogr-429	78	47	…	…	PUNCT
iogr-429	78	48	…	…	PUNCT
iogr-429	78	49	…	…	PUNCT
iogr-429	78	50	…	…	PUNCT
iogr-429	78	51	…	…	PUNCT
iogr-429	78	52	…	…	PUNCT
iogr-429	78	53	…	…	SYM
iogr-429	78	54	.	.	NUM
iogr-429	78	55	…	…	PUNCT
iogr-429	78	56	.(16	.(16	NUM
iogr-429	78	57	)	)	PUNCT
iogr-429	78	58	levenberg	levenberg	PROPN
iogr-429	78	59	's	's	PART
iogr-429	78	60	contribution	contribution	NOUN
iogr-429	78	61	.	.	PUNCT
iogr-429	79	1	replace	replace	VERB
iogr-429	79	2	the	the	DET
iogr-429	79	3	above	above	ADJ
iogr-429	79	4	equation	equation	NOUN
iogr-429	79	5	by	by	ADP
iogr-429	79	6	a	a	DET
iogr-429	79	7	"	"	PUNCT
iogr-429	79	8	damped	damped	ADJ
iogr-429	79	9	version	version	NOUN
iogr-429	79	10	"	"	PUNCT
iogr-429	79	11	,	,	PUNCT
iogr-429	79	12	𝐻	𝐻	PROPN
iogr-429	79	13	=	=	PUNCT
iogr-429	79	14	𝐽𝑇𝐽	𝐽𝑇𝐽	NOUN
iogr-429	79	15	+	+	CCONJ
iogr-429	79	16	𝜆𝐼,	𝜆𝐼,	PROPN
iogr-429	79	17	…	…	SYM
iogr-429	79	18	…	…	PUNCT
iogr-429	79	19	…	…	PUNCT
iogr-429	79	20	…	…	PUNCT
iogr-429	79	21	…	…	PUNCT
iogr-429	79	22	…	…	PUNCT
iogr-429	79	23	…	…	PUNCT
iogr-429	79	24	…	…	PUNCT
iogr-429	79	25	…	…	PUNCT
iogr-429	79	26	…	…	PUNCT
iogr-429	79	27	…	…	PUNCT
iogr-429	79	28	…	…	PUNCT
iogr-429	79	29	…	…	PUNCT
iogr-429	79	30	…	…	PUNCT
iogr-429	79	31	…	…	PUNCT
iogr-429	79	32	…	…	PUNCT
iogr-429	79	33	…	…	PUNCT
iogr-429	79	34	…	…	PUNCT
iogr-429	79	35	…	…	PUNCT
iogr-429	79	36	…	…	PUNCT
iogr-429	79	37	…	…	PUNCT
iogr-429	79	38	…	…	PUNCT
iogr-429	79	39	…	…	PUNCT
iogr-429	79	40	…	…	PUNCT
iogr-429	79	41	…	…	PUNCT
iogr-429	79	42	…	…	PUNCT
iogr-429	79	43	…	…	PUNCT
iogr-429	79	44	…	…	PUNCT
iogr-429	79	45	…	…	PUNCT
iogr-429	79	46	…	…	PUNCT
iogr-429	79	47	…	…	PUNCT
iogr-429	79	48	…	…	PUNCT
iogr-429	79	49	…	…	PUNCT
iogr-429	79	50	…	…	PUNCT
iogr-429	79	51	(17	(17	X
iogr-429	79	52	)	)	PUNCT
iogr-429	79	53	where	where	SCONJ
iogr-429	79	54	λ	λ	PROPN
iogr-429	79	55	is	be	AUX
iogr-429	79	56	always	always	ADV
iogr-429	79	57	positive	positive	ADJ
iogr-429	79	58	,	,	PUNCT
iogr-429	79	59	called	call	VERB
iogr-429	79	60	combination	combination	NOUN
iogr-429	79	61	coefficient	coefficient	NOUN
iogr-429	79	62	.	.	PUNCT
iogr-429	80	1	i	i	PRON
iogr-429	80	2	is	be	AUX
iogr-429	80	3	the	the	DET
iogr-429	80	4	identity	identity	NOUN
iogr-429	80	5	matrix	matrix	NOUN
iogr-429	80	6	levenberg	levenberg	PROPN
iogr-429	80	7	's	's	PART
iogr-429	80	8	algorithm	algorithm	NOUN
iogr-429	80	9	has	have	VERB
iogr-429	80	10	the	the	DET
iogr-429	80	11	disadvantage	disadvantage	NOUN
iogr-429	80	12	that	that	SCONJ
iogr-429	80	13	if	if	SCONJ
iogr-429	80	14	the	the	DET
iogr-429	80	15	value	value	NOUN
iogr-429	80	16	of	of	ADP
iogr-429	80	17	damping	damp	VERB
iogr-429	80	18	factor	factor	NOUN
iogr-429	80	19	,	,	PUNCT
iogr-429	80	20	λ	λ	PROPN
iogr-429	80	21	,	,	PUNCT
iogr-429	80	22	is	be	AUX
iogr-429	80	23	large	large	ADJ
iogr-429	80	24	,	,	PUNCT
iogr-429	80	25	inverting	inverting	NOUN
iogr-429	80	26	jtj	jtj	NOUN
iogr-429	80	27	+	+	CCONJ
iogr-429	80	28	λi	λi	NOUN
iogr-429	80	29	is	be	AUX
iogr-429	80	30	not	not	PART
iogr-429	80	31	used	use	VERB
iogr-429	80	32	at	at	ADV
iogr-429	80	33	all	all	ADV
iogr-429	80	34	.	.	PUNCT
iogr-429	81	1	marquardt	marquardt	PROPN
iogr-429	81	2	modification	modification	PROPN
iogr-429	81	3	.	.	PUNCT
iogr-429	82	1	replaced	replace	VERB
iogr-429	82	2	the	the	DET
iogr-429	82	3	identity	identity	NOUN
iogr-429	82	4	matrix	matrix	NOUN
iogr-429	82	5	,	,	PUNCT
iogr-429	82	6	i	i	PRON
iogr-429	82	7	,	,	PUNCT
iogr-429	82	8	with	with	ADP
iogr-429	82	9	the	the	DET
iogr-429	82	10	diagonal	diagonal	ADJ
iogr-429	82	11	matrix	matrix	NOUN
iogr-429	82	12	consisting	consist	VERB
iogr-429	82	13	of	of	ADP
iogr-429	82	14	the	the	DET
iogr-429	82	15	diagonal	diagonal	ADJ
iogr-429	82	16	elements	element	NOUN
iogr-429	82	17	of	of	ADP
iogr-429	82	18	jtj	jtj	NOUN
iogr-429	82	19	,	,	PUNCT
iogr-429	82	20	resulting	result	VERB
iogr-429	82	21	in	in	ADP
iogr-429	82	22	the	the	DET
iogr-429	82	23	levenberg	levenberg	PROPN
iogr-429	82	24	–	–	PUNCT
iogr-429	82	25	marquardt	marquardt	PROPN
iogr-429	82	26	algorithm	algorithm	NOUN
iogr-429	82	27	𝐻	𝐻	PROPN
iogr-429	82	28	=	=	SYM
iogr-429	82	29	𝐽𝑇𝐽	𝐽𝑇𝐽	NOUN
iogr-429	82	30	+	+	CCONJ
iogr-429	82	31	𝜆𝑑𝑖𝑎𝑔(𝐽𝑇𝐽)	𝜆𝑑𝑖𝑎𝑔(𝐽𝑇𝐽)	PROPN
iogr-429	82	32	...	...	PUNCT
iogr-429	82	33	…	…	PUNCT
iogr-429	82	34	…	…	PUNCT
iogr-429	82	35	…	…	PUNCT
iogr-429	82	36	…	…	PUNCT
iogr-429	82	37	…	…	PUNCT
iogr-429	82	38	…	…	PUNCT
iogr-429	82	39	…	…	PUNCT
iogr-429	82	40	…	…	PUNCT
iogr-429	82	41	…	…	PUNCT
iogr-429	82	42	…	…	PUNCT
iogr-429	82	43	…	…	PUNCT
iogr-429	82	44	…	…	PUNCT
iogr-429	82	45	…	…	PUNCT
iogr-429	82	46	..	..	PUNCT
iogr-429	82	47	…	…	PUNCT
iogr-429	82	48	…	…	PUNCT
iogr-429	82	49	…	…	PUNCT
iogr-429	82	50	…	…	PUNCT
iogr-429	82	51	…	…	PUNCT
iogr-429	82	52	…	…	PUNCT
iogr-429	82	53	…	…	PUNCT
iogr-429	82	54	…	…	PUNCT
iogr-429	82	55	…	…	PUNCT
iogr-429	82	56	…	…	PUNCT
iogr-429	82	57	…	…	PUNCT
iogr-429	82	58	…	…	PUNCT
iogr-429	82	59	…	…	PUNCT
iogr-429	82	60	…	…	PUNCT
iogr-429	82	61	…	…	PUNCT
iogr-429	82	62	…	…	PUNCT
iogr-429	82	63	.(18	.(18	NUM
iogr-429	82	64	)	)	PUNCT
iogr-429	82	65	from	from	ADP
iogr-429	82	66	above	above	ADP
iogr-429	82	67	equation	equation	NOUN
iogr-429	82	68	,	,	PUNCT
iogr-429	82	69	one	one	PRON
iogr-429	82	70	may	may	AUX
iogr-429	82	71	notice	notice	VERB
iogr-429	82	72	that	that	SCONJ
iogr-429	82	73	the	the	DET
iogr-429	82	74	elements	element	NOUN
iogr-429	82	75	on	on	ADP
iogr-429	82	76	the	the	DET
iogr-429	82	77	main	main	ADJ
iogr-429	82	78	diagonal	diagonal	NOUN
iogr-429	82	79	of	of	ADP
iogr-429	82	80	the	the	DET
iogr-429	82	81	approximated	approximate	VERB
iogr-429	82	82	hessian	hessian	ADJ
iogr-429	82	83	matrix	matrix	NOUN
iogr-429	82	84	will	will	AUX
iogr-429	82	85	be	be	AUX
iogr-429	82	86	larger	large	ADJ
iogr-429	82	87	than	than	ADP
iogr-429	82	88	zero	zero	NUM
iogr-429	82	89	.	.	PUNCT
iogr-429	83	1	therefore	therefore	ADV
iogr-429	83	2	,	,	PUNCT
iogr-429	83	3	with	with	ADP
iogr-429	83	4	this	this	DET
iogr-429	83	5	approximation	approximation	NOUN
iogr-429	83	6	,	,	PUNCT
iogr-429	83	7	it	it	PRON
iogr-429	83	8	can	can	AUX
iogr-429	83	9	be	be	AUX
iogr-429	83	10	sure	sure	ADJ
iogr-429	83	11	that	that	PRON
iogr-429	83	12	matrix	matrix	NOUN
iogr-429	83	13	h	h	NOUN
iogr-429	83	14	is	be	AUX
iogr-429	83	15	always	always	ADV
iogr-429	83	16	invertible	invertible	ADJ
iogr-429	83	17	.	.	PUNCT
iogr-429	84	1	for	for	ADP
iogr-429	84	2	our	our	PRON
iogr-429	84	3	problem	problem	NOUN
iogr-429	84	4	,	,	PUNCT
iogr-429	84	5	we	we	PRON
iogr-429	84	6	drive	drive	VERB
iogr-429	84	7	the	the	DET
iogr-429	84	8	objective	objective	ADJ
iogr-429	84	9	function	function	NOUN
iogr-429	84	10	without	without	ADP
iogr-429	84	11	prior	prior	ADJ
iogr-429	84	12	information	information	NOUN
iogr-429	84	13	𝑂(𝑚	𝑂(𝑚	PROPN
iogr-429	84	14	)	)	PUNCT
iogr-429	84	15	=	=	SYM
iogr-429	84	16	1	1	NUM
iogr-429	84	17	2	2	NUM
iogr-429	85	1	[	[	X
iogr-429	85	2	𝑔(𝑚	𝑔(𝑚	PROPN
iogr-429	85	3	)	)	PUNCT
iogr-429	85	4	−	−	PROPN
iogr-429	85	5	𝑑𝑜𝑏𝑠	𝑑𝑜𝑏𝑠	NOUN
iogr-429	85	6	]	]	PUNCT
iogr-429	85	7	𝑇𝐶𝐷	𝑇𝐶𝐷	PROPN
iogr-429	85	8	−1[𝑔(𝑚	−1[𝑔(𝑚	NOUN
iogr-429	85	9	)	)	PUNCT
iogr-429	85	10	−	−	PROPN
iogr-429	86	1	𝑑𝑜𝑏𝑠],	𝑑𝑜𝑏𝑠],	PROPN
iogr-429	86	2	…	…	NUM
iogr-429	86	3	..	..	PUNCT
iogr-429	86	4	…	…	PUNCT
iogr-429	86	5	…	…	PUNCT
iogr-429	86	6	…	…	PUNCT
iogr-429	86	7	…	…	PUNCT
iogr-429	86	8	…	…	PUNCT
iogr-429	86	9	…	…	PUNCT
iogr-429	86	10	…	…	PUNCT
iogr-429	86	11	…	…	PUNCT
iogr-429	86	12	…	…	PUNCT
iogr-429	86	13	…	…	PUNCT
iogr-429	86	14	…	…	PUNCT
iogr-429	86	15	…	…	PUNCT
iogr-429	86	16	…	…	PUNCT
iogr-429	86	17	…	…	PUNCT
iogr-429	86	18	…	…	PUNCT
iogr-429	86	19	…	…	SYM
iogr-429	86	20	.	.	NUM
iogr-429	86	21	…	…	PUNCT
iogr-429	86	22	…	…	PUNCT
iogr-429	86	23	…	…	PUNCT
iogr-429	86	24	(19	(19	X
iogr-429	86	25	)	)	PUNCT
iogr-429	87	1	𝑂(𝑚	𝑂(𝑚	ADJ
iogr-429	87	2	+	+	CCONJ
iogr-429	87	3	𝛿𝑚	𝛿𝑚	NOUN
iogr-429	87	4	)	)	PUNCT
iogr-429	87	5	=	=	PUNCT
iogr-429	87	6	𝑂(𝑚	𝑂(𝑚	PROPN
iogr-429	87	7	)	)	PUNCT
iogr-429	87	8	+	+	X
iogr-429	88	1	𝐽𝑇𝑒𝛿𝑚	𝐽𝑇𝑒𝛿𝑚	PROPN
iogr-429	88	2	+	+	CCONJ
iogr-429	88	3	1	1	NUM
iogr-429	88	4	2	2	NUM
iogr-429	88	5	𝛿𝑚𝑇𝐽𝑇𝐽𝛿𝑚	𝛿𝑚𝑇𝐽𝑇𝐽𝛿𝑚	NOUN
iogr-429	88	6	...	...	PUNCT
iogr-429	88	7	…	…	PUNCT
iogr-429	88	8	…	…	PUNCT
iogr-429	88	9	…	…	PUNCT
iogr-429	88	10	…	…	PUNCT
iogr-429	88	11	…	…	PUNCT
iogr-429	88	12	…	…	PUNCT
iogr-429	88	13	…	…	PUNCT
iogr-429	88	14	…	…	PUNCT
iogr-429	88	15	…	…	PUNCT
iogr-429	88	16	…	…	PUNCT
iogr-429	88	17	…	…	PUNCT
iogr-429	88	18	…	…	PUNCT
iogr-429	88	19	…	…	PUNCT
iogr-429	88	20	…	…	PUNCT
iogr-429	88	21	…	…	PUNCT
iogr-429	88	22	…	…	PUNCT
iogr-429	88	23	…	…	PUNCT
iogr-429	88	24	…	…	PUNCT
iogr-429	88	25	…	…	PUNCT
iogr-429	88	26	…	…	SYM
iogr-429	88	27	.(20	.(20	SYM
iogr-429	88	28	)	)	PUNCT
iogr-429	88	29	set	set	NOUN
iogr-429	88	30	𝜕𝑂(𝑚+𝛿𝑚	𝜕𝑂(𝑚+𝛿𝑚	NOUN
iogr-429	88	31	)	)	PUNCT
iogr-429	88	32	𝜕𝛿𝑚	𝜕𝛿𝑚	PUNCT
iogr-429	89	1	≈	≈	PROPN
iogr-429	89	2	0.	0.	PROPN
iogr-429	89	3	…	…	PROPN
iogr-429	89	4	…	…	PUNCT
iogr-429	89	5	…	…	PUNCT
iogr-429	89	6	…	…	PUNCT
iogr-429	89	7	…	…	PUNCT
iogr-429	89	8	…	…	PUNCT
iogr-429	89	9	…	…	PUNCT
iogr-429	89	10	…	…	PUNCT
iogr-429	89	11	…	…	PUNCT
iogr-429	89	12	…	…	PUNCT
iogr-429	89	13	…	…	PUNCT
iogr-429	89	14	…	…	PUNCT
iogr-429	89	15	…	…	PUNCT
iogr-429	89	16	…	…	PUNCT
iogr-429	89	17	…	…	PUNCT
iogr-429	89	18	…	…	PUNCT
iogr-429	89	19	…	…	PUNCT
iogr-429	89	20	…	…	PUNCT
iogr-429	89	21	…	…	PUNCT
iogr-429	89	22	…	…	PUNCT
iogr-429	89	23	…	…	PUNCT
iogr-429	89	24	…	…	PUNCT
iogr-429	89	25	…	…	PUNCT
iogr-429	89	26	…	…	PUNCT
iogr-429	89	27	…	…	PUNCT
iogr-429	89	28	…	…	PUNCT
iogr-429	89	29	…	…	PUNCT
iogr-429	89	30	…	…	PUNCT
iogr-429	89	31	…	…	PUNCT
iogr-429	89	32	…	…	PUNCT
iogr-429	89	33	…	…	PUNCT
iogr-429	89	34	…	…	PUNCT
iogr-429	89	35	…	…	PUNCT
iogr-429	89	36	…	…	PUNCT
iogr-429	89	37	(21	(21	NUM
iogr-429	89	38	)	)	PUNCT
iogr-429	89	39	we	we	PRON
iogr-429	89	40	have	have	VERB
iogr-429	89	41	𝐽𝑇𝐽𝛿𝑚	𝐽𝑇𝐽𝛿𝑚	NOUN
iogr-429	89	42	=	=	SYM
iogr-429	89	43	−𝐽𝑇𝑒.	−𝐽𝑇𝑒.	X
iogr-429	89	44	…	…	NUM
iogr-429	89	45	…	…	PUNCT
iogr-429	89	46	…	…	PUNCT
iogr-429	89	47	…	…	PUNCT
iogr-429	89	48	…	…	PUNCT
iogr-429	89	49	…	…	PUNCT
iogr-429	89	50	…	…	PUNCT
iogr-429	89	51	…	…	PUNCT
iogr-429	89	52	…	…	PUNCT
iogr-429	89	53	…	…	PUNCT
iogr-429	89	54	…	…	PUNCT
iogr-429	89	55	…	…	PUNCT
iogr-429	89	56	…	…	PUNCT
iogr-429	89	57	…	…	PUNCT
iogr-429	89	58	…	…	PUNCT
iogr-429	89	59	…	…	PUNCT
iogr-429	89	60	…	…	PUNCT
iogr-429	89	61	…	…	PUNCT
iogr-429	89	62	…	…	PUNCT
iogr-429	89	63	…	…	PUNCT
iogr-429	89	64	…	…	PUNCT
iogr-429	89	65	…	…	PUNCT
iogr-429	89	66	…	…	PUNCT
iogr-429	89	67	…	…	PUNCT
iogr-429	89	68	…	…	PUNCT
iogr-429	89	69	…	…	PUNCT
iogr-429	89	70	…	…	PUNCT
iogr-429	89	71	…	…	PUNCT
iogr-429	89	72	…	…	PUNCT
iogr-429	89	73	…	…	PUNCT
iogr-429	89	74	…	…	PUNCT
iogr-429	89	75	…	…	PUNCT
iogr-429	89	76	…	…	PUNCT
iogr-429	89	77	..	..	PUNCT
iogr-429	89	78	(22	(22	NUM
iogr-429	89	79	)	)	PUNCT
iogr-429	89	80	hence	hence	ADV
iogr-429	89	81	,	,	PUNCT
iogr-429	89	82	apply	apply	VERB
iogr-429	89	83	levenberg	levenberg	PROPN
iogr-429	89	84	-	-	PUNCT
iogr-429	89	85	marquardt	marquardt	PROPN
iogr-429	89	86	algorithm	algorithm	PROPN
iogr-429	89	87	,	,	PUNCT
iogr-429	89	88	we	we	PRON
iogr-429	89	89	get	get	VERB
iogr-429	89	90	𝛿𝑚	𝛿𝑚	NOUN
iogr-429	89	91	=	=	SYM
iogr-429	89	92	−[𝐽𝑇𝐽	−[𝐽𝑇𝐽	PROPN
iogr-429	89	93	+	+	CCONJ
iogr-429	89	94	𝜆𝑑𝑖𝑎𝑔(𝐽𝑇𝐽	𝜆𝑑𝑖𝑎𝑔(𝐽𝑇𝐽	NOUN
iogr-429	89	95	)	)	PUNCT
iogr-429	89	96	]	]	PUNCT
iogr-429	90	1	−1(𝐽𝑇𝑒),	−1(𝐽𝑇𝑒),	X
iogr-429	90	2	…	…	PUNCT
iogr-429	90	3	…	…	PUNCT
iogr-429	90	4	…	…	PUNCT
iogr-429	90	5	…	…	PUNCT
iogr-429	90	6	…	…	PUNCT
iogr-429	90	7	…	…	PUNCT
iogr-429	90	8	…	…	PUNCT
iogr-429	90	9	…	…	PUNCT
iogr-429	90	10	…	…	PUNCT
iogr-429	90	11	…	…	PUNCT
iogr-429	90	12	…	…	PUNCT
iogr-429	90	13	…	…	PUNCT
iogr-429	90	14	…	…	PUNCT
iogr-429	90	15	…	…	PUNCT
iogr-429	90	16	…	…	PUNCT
iogr-429	90	17	…	…	PUNCT
iogr-429	90	18	…	…	PUNCT
iogr-429	90	19	…	…	PUNCT
iogr-429	90	20	…	…	PUNCT
iogr-429	90	21	…	…	PUNCT
iogr-429	90	22	…	…	PUNCT
iogr-429	90	23	…	…	PUNCT
iogr-429	90	24	…	…	PUNCT
iogr-429	90	25	…	…	PUNCT
iogr-429	90	26	…	…	SYM
iogr-429	90	27	(23	(23	NOUN
iogr-429	90	28	)	)	PUNCT
iogr-429	90	29	where	where	SCONJ
iogr-429	90	30	,	,	PUNCT
iogr-429	90	31	𝑂(𝑚	𝑂(𝑚	PROPN
iogr-429	90	32	)	)	PUNCT
iogr-429	90	33	=	=	SYM
iogr-429	90	34	1	1	NUM
iogr-429	90	35	2	2	NUM
iogr-429	90	36	𝑒𝑇𝑒,	𝑒𝑇𝑒,	NUM
iogr-429	90	37	.......................................................................................................................................	.......................................................................................................................................	X
iogr-429	90	38	(24	(24	NUM
iogr-429	90	39	)	)	PUNCT
iogr-429	90	40	𝑒	𝑒	PROPN
iogr-429	90	41	=	=	SYM
iogr-429	90	42	𝐶𝐷	𝐶𝐷	PROPN
iogr-429	90	43	1/2[𝑔(𝑚	1/2[𝑔(𝑚	NUM
iogr-429	90	44	)	)	PUNCT
iogr-429	90	45	−	−	PROPN
iogr-429	91	1	𝑑𝑜𝑏𝑠],	𝑑𝑜𝑏𝑠],	PROPN
iogr-429	91	2	........................................................................................................................	........................................................................................................................	NOUN
iogr-429	91	3	(25	(25	X
iogr-429	91	4	)	)	PUNCT
iogr-429	91	5	𝐽	𝐽	PROPN
iogr-429	91	6	=	=	PUNCT
iogr-429	92	1	𝜕𝑒	𝜕𝑒	NOUN
iogr-429	92	2	𝜕𝑚	𝜕𝑚	NOUN
iogr-429	92	3	,	,	PUNCT
iogr-429	92	4	.................................................................................................................................................	.................................................................................................................................................	PROPN
iogr-429	92	5	(	(	PUNCT
iogr-429	92	6	26	26	NUM
iogr-429	92	7	)	)	PUNCT
iogr-429	92	8	𝐽	𝐽	NOUN
iogr-429	93	1	=	=	PUNCT
iogr-429	93	2	𝐶𝐷	𝐶𝐷	PROPN
iogr-429	93	3	−1/2	−1/2	VERB
iogr-429	93	4	𝜕𝑔(𝑚	𝜕𝑔(𝑚	NOUN
iogr-429	93	5	)	)	PUNCT
iogr-429	93	6	𝜕𝑚	𝜕𝑚	NOUN
iogr-429	93	7	=	=	SYM
iogr-429	93	8	𝐶𝐷	𝐶𝐷	NOUN
iogr-429	93	9	−1/2	−1/2	ADJ
iogr-429	93	10	𝐺𝑙	𝐺𝑙	PROPN
iogr-429	93	11	,	,	PUNCT
iogr-429	93	12	..................................................................................................................	..................................................................................................................	PROPN
iogr-429	93	13	(	(	PUNCT
iogr-429	93	14	27	27	NUM
iogr-429	93	15	)	)	PUNCT
iogr-429	93	16	𝐽𝑇𝐽	𝐽𝑇𝐽	NOUN
iogr-429	93	17	=	=	PUNCT
iogr-429	93	18	𝐺𝑙	𝐺𝑙	PROPN
iogr-429	93	19	𝑇𝐶𝐷	𝑇𝐶𝐷	PROPN
iogr-429	93	20	−1𝐺𝑙	−1𝐺𝑙	NUM
iogr-429	93	21	.....................................................................................................................................	.....................................................................................................................................	PUNCT
iogr-429	94	1	(	(	PUNCT
iogr-429	94	2	28	28	NUM
iogr-429	94	3	)	)	PUNCT
iogr-429	94	4	the	the	DET
iogr-429	94	5	simplest	simple	ADJ
iogr-429	94	6	way	way	NOUN
iogr-429	94	7	to	to	PART
iogr-429	94	8	obtain	obtain	VERB
iogr-429	94	9	the	the	DET
iogr-429	94	10	correction	correction	NOUN
iogr-429	94	11	𝛿𝑚	𝛿𝑚	NOUN
iogr-429	94	12	is	be	AUX
iogr-429	94	13	to	to	PART
iogr-429	94	14	use	use	VERB
iogr-429	94	15	cholesky	cholesky	ADJ
iogr-429	94	16	decomposition	decomposition	NOUN
iogr-429	94	17	on	on	ADP
iogr-429	94	18	the	the	DET
iogr-429	94	19	linear	linear	ADJ
iogr-429	94	20	system	system	NOUN
iogr-429	94	21	.	.	PUNCT
iogr-429	95	1	the	the	DET
iogr-429	95	2	main	main	ADJ
iogr-429	95	3	advantage	advantage	NOUN
iogr-429	95	4	of	of	ADP
iogr-429	95	5	the	the	DET
iogr-429	95	6	nodal	nodal	ADJ
iogr-429	95	7	equations	equation	NOUN
iogr-429	95	8	is	be	AUX
iogr-429	95	9	speed	speed	NOUN
iogr-429	95	10	.	.	PUNCT
iogr-429	96	1	𝑚𝑙+1	𝑚𝑙+1	NUM
iogr-429	96	2	=	=	SYM
iogr-429	96	3	𝑚𝑙	𝑚𝑙	NOUN
iogr-429	96	4	+	+	CCONJ
iogr-429	96	5	𝛼𝛿𝑚𝑙+1	𝛼𝛿𝑚𝑙+1	NOUN
iogr-429	96	6	,	,	PUNCT
iogr-429	96	7	…	…	PUNCT
iogr-429	96	8	…	…	PUNCT
iogr-429	96	9	…	…	PUNCT
iogr-429	96	10	…	…	PUNCT
iogr-429	96	11	…	…	PUNCT
iogr-429	96	12	…	…	PUNCT
iogr-429	96	13	…	…	PUNCT
iogr-429	96	14	…	…	PUNCT
iogr-429	96	15	…	…	PUNCT
iogr-429	96	16	…	…	PUNCT
iogr-429	96	17	…	…	PUNCT
iogr-429	96	18	…	…	PUNCT
iogr-429	96	19	…	…	PUNCT
iogr-429	96	20	…	…	PUNCT
iogr-429	96	21	…	…	PUNCT
iogr-429	96	22	…	…	PUNCT
iogr-429	96	23	…	…	PUNCT
iogr-429	96	24	…	…	PUNCT
iogr-429	96	25	…	…	PUNCT
iogr-429	96	26	…	…	PUNCT
iogr-429	96	27	…	…	PUNCT
iogr-429	96	28	…	…	PUNCT
iogr-429	96	29	…	…	PUNCT
iogr-429	96	30	…	…	PUNCT
iogr-429	96	31	…	…	PUNCT
iogr-429	96	32	…	…	PUNCT
iogr-429	96	33	…	…	PUNCT
iogr-429	96	34	…	…	PUNCT
iogr-429	96	35	…	…	PUNCT
iogr-429	96	36	…	…	PUNCT
iogr-429	96	37	..	..	PUNCT
iogr-429	96	38	(	(	PUNCT
iogr-429	96	39	29	29	NUM
iogr-429	96	40	)	)	PUNCT
iogr-429	96	41	where	where	SCONJ
iogr-429	96	42	,	,	PUNCT
iogr-429	96	43	𝒍	𝒍	PROPN
iogr-429	96	44	is	be	AUX
iogr-429	96	45	iteration	iteration	NOUN
iogr-429	96	46	number	number	NOUN
iogr-429	96	47	.	.	PUNCT
iogr-429	97	1	the	the	DET
iogr-429	97	2	(	(	PUNCT
iogr-429	97	3	non	non	ADJ
iogr-429	97	4	-	-	ADJ
iogr-429	97	5	negative	negative	ADJ
iogr-429	97	6	)	)	PUNCT
iogr-429	97	7	damping	damp	VERB
iogr-429	97	8	factor	factor	NOUN
iogr-429	97	9	,	,	PUNCT
iogr-429	97	10	λ	λ	PROPN
iogr-429	97	11	,	,	PUNCT
iogr-429	97	12	is	be	AUX
iogr-429	97	13	adjusted	adjust	VERB
iogr-429	97	14	at	at	ADP
iogr-429	97	15	each	each	DET
iogr-429	97	16	iteration	iteration	NOUN
iogr-429	97	17	.	.	PUNCT
iogr-429	98	1	𝑂(𝑚𝑙+1	𝑂(𝑚𝑙+1	NOUN
iogr-429	98	2	)	)	PUNCT
iogr-429	98	3	>	>	X
iogr-429	98	4	𝑂(𝑚𝑙	𝑂(𝑚𝑙	PROPN
iogr-429	98	5	)	)	PUNCT
iogr-429	98	6	→	→	SYM
iogr-429	98	7	𝜆𝑙+1	𝜆𝑙+1	NUM
iogr-429	98	8	=	=	SYM
iogr-429	98	9	𝜌𝜆𝑙,	𝜌𝜆𝑙,	NOUN
iogr-429	98	10	…	…	NUM
iogr-429	98	11	…	…	PUNCT
iogr-429	98	12	…	…	PUNCT
iogr-429	98	13	…	…	PUNCT
iogr-429	98	14	…	…	PUNCT
iogr-429	98	15	…	…	PUNCT
iogr-429	98	16	…	…	PUNCT
iogr-429	98	17	…	…	PUNCT
iogr-429	98	18	…	…	PUNCT
iogr-429	98	19	…	…	PUNCT
iogr-429	98	20	…	…	PUNCT
iogr-429	98	21	…	…	PUNCT
iogr-429	98	22	…	…	PUNCT
iogr-429	98	23	…	…	PUNCT
iogr-429	98	24	…	…	PUNCT
iogr-429	98	25	…	…	PUNCT
iogr-429	98	26	…	…	PUNCT
iogr-429	98	27	…	…	PUNCT
iogr-429	98	28	…	…	PUNCT
iogr-429	98	29	…	…	PUNCT
iogr-429	98	30	…	…	PUNCT
iogr-429	98	31	…	…	PUNCT
iogr-429	98	32	…	…	PUNCT
iogr-429	98	33	…	…	PUNCT
iogr-429	98	34	…	…	PUNCT
iogr-429	98	35	…	…	PUNCT
iogr-429	98	36	.(30	.(30	NUM
iogr-429	98	37	)	)	PUNCT
iogr-429	98	38	𝑂(𝑚𝑙+1	𝑂(𝑚𝑙+1	NOUN
iogr-429	98	39	)	)	PUNCT
iogr-429	98	40	<	<	X
iogr-429	98	41	𝑂(𝑚𝑙	𝑂(𝑚𝑙	NOUN
iogr-429	98	42	)	)	PUNCT
iogr-429	98	43	→	→	SYM
iogr-429	98	44	𝜆𝑙+1	𝜆𝑙+1	NUM
iogr-429	98	45	=	=	SYM
iogr-429	98	46	𝜆𝑙	𝜆𝑙	NOUN
iogr-429	98	47	𝜌	𝜌	X
iogr-429	98	48	,	,	PUNCT
iogr-429	98	49	…	…	PUNCT
iogr-429	98	50	…	…	PUNCT
iogr-429	98	51	…	…	PUNCT
iogr-429	98	52	…	…	PUNCT
iogr-429	98	53	…	…	PUNCT
iogr-429	98	54	…	…	PUNCT
iogr-429	98	55	…	…	PUNCT
iogr-429	98	56	…	…	PUNCT
iogr-429	98	57	…	…	PUNCT
iogr-429	98	58	…	…	PUNCT
iogr-429	98	59	…	…	PUNCT
iogr-429	98	60	…	…	PUNCT
iogr-429	98	61	…	…	PUNCT
iogr-429	98	62	…	…	PUNCT
iogr-429	98	63	…	…	PUNCT
iogr-429	98	64	…	…	PUNCT
iogr-429	98	65	…	…	PUNCT
iogr-429	98	66	…	…	PUNCT
iogr-429	98	67	…	…	PUNCT
iogr-429	98	68	…	…	PUNCT
iogr-429	98	69	…	…	PUNCT
iogr-429	98	70	…	…	PUNCT
iogr-429	98	71	…	…	PUNCT
iogr-429	98	72	…	…	PUNCT
iogr-429	98	73	…	…	PUNCT
iogr-429	98	74	…	…	PUNCT
iogr-429	98	75	…	…	PUNCT
iogr-429	98	76	(	(	PUNCT
iogr-429	98	77	31	31	NUM
iogr-429	98	78	)	)	PUNCT
iogr-429	98	79	6	6	NUM
iogr-429	98	80	where	where	SCONJ
iogr-429	98	81	𝝆	𝝆	X
iogr-429	98	82	>	>	X
iogr-429	98	83	1	1	NUM
iogr-429	98	84	;	;	PUNCT
iogr-429	98	85	𝝀𝟏	𝝀𝟏	NOUN
iogr-429	98	86	is	be	AUX
iogr-429	98	87	between	between	ADP
iogr-429	98	88	√	√	NOUN
iogr-429	98	89	𝑂(𝑚0	𝑂(𝑚0	NOUN
iogr-429	98	90	)	)	PUNCT
iogr-429	98	91	𝑁𝑑	𝑁𝑑	PROPN
iogr-429	98	92	and	and	CCONJ
iogr-429	98	93	𝑂(𝑚0	𝑂(𝑚0	NOUN
iogr-429	98	94	)	)	PUNCT
iogr-429	99	1	𝑁𝑑	𝑁𝑑	PROPN
iogr-429	99	2	;	;	PUNCT
iogr-429	99	3	f	f	PROPN
iogr-429	99	4	𝝀	𝝀	X
iogr-429	99	5	=	=	SYM
iogr-429	99	6	0	0	PROPN
iogr-429	99	7	,	,	PUNCT
iogr-429	99	8	we	we	PRON
iogr-429	99	9	have	have	VERB
iogr-429	99	10	gauss	gaus	VERB
iogr-429	99	11	-	-	PUNCT
iogr-429	99	12	newton	newton	PROPN
iogr-429	99	13	method	method	NOUN
iogr-429	99	14	.	.	PUNCT
iogr-429	100	1	if	if	SCONJ
iogr-429	100	2	the	the	DET
iogr-429	100	3	reduction	reduction	NOUN
iogr-429	100	4	of	of	ADP
iogr-429	100	5	objective	objective	ADJ
iogr-429	100	6	function	function	NOUN
iogr-429	100	7	is	be	AUX
iogr-429	100	8	rapid	rapid	ADJ
iogr-429	100	9	,	,	PUNCT
iogr-429	100	10	a	a	DET
iogr-429	100	11	smaller	small	ADJ
iogr-429	100	12	value	value	NOUN
iogr-429	100	13	can	can	AUX
iogr-429	100	14	be	be	AUX
iogr-429	100	15	used	use	VERB
iogr-429	100	16	,	,	PUNCT
iogr-429	100	17	bringing	bring	VERB
iogr-429	100	18	the	the	DET
iogr-429	100	19	algorithm	algorithm	NOUN
iogr-429	100	20	closer	close	ADV
iogr-429	100	21	to	to	ADP
iogr-429	100	22	the	the	DET
iogr-429	100	23	gauss	gauss	PROPN
iogr-429	100	24	-	-	PUNCT
iogr-429	100	25	newton	newton	PROPN
iogr-429	100	26	algorithm	algorithm	NOUN
iogr-429	100	27	,	,	PUNCT
iogr-429	100	28	whereas	whereas	SCONJ
iogr-429	100	29	if	if	SCONJ
iogr-429	100	30	one	one	NUM
iogr-429	100	31	iteration	iteration	NOUN
iogr-429	100	32	gives	give	VERB
iogr-429	100	33	insufficient	insufficient	ADJ
iogr-429	100	34	reduction	reduction	NOUN
iogr-429	100	35	in	in	ADP
iogr-429	100	36	the	the	DET
iogr-429	100	37	residual	residual	ADJ
iogr-429	100	38	,	,	PUNCT
iogr-429	100	39	λ	λ	PROPN
iogr-429	100	40	can	can	AUX
iogr-429	100	41	be	be	AUX
iogr-429	100	42	increased	increase	VERB
iogr-429	100	43	,	,	PUNCT
iogr-429	100	44	giving	give	VERB
iogr-429	100	45	a	a	DET
iogr-429	100	46	step	step	NOUN
iogr-429	100	47	closer	close	ADV
iogr-429	100	48	to	to	ADP
iogr-429	100	49	the	the	DET
iogr-429	100	50	gradient	gradient	ADJ
iogr-429	100	51	descent	descent	NOUN
iogr-429	100	52	direction	direction	NOUN
iogr-429	100	53	.	.	PUNCT
iogr-429	101	1	result	result	NOUN
iogr-429	101	2	figure	figure	NOUN
iogr-429	101	3	4	4	NUM
iogr-429	101	4	and	and	CCONJ
iogr-429	101	5	5	5	NUM
iogr-429	101	6	show	show	VERB
iogr-429	101	7	the	the	DET
iogr-429	101	8	wct	wct	PROPN
iogr-429	101	9	and	and	CCONJ
iogr-429	101	10	bhp	bhp	PROPN
iogr-429	101	11	sensitivity	sensitivity	PROPN
iogr-429	101	12	comparison	comparison	NOUN
iogr-429	101	13	between	between	ADP
iogr-429	101	14	our	our	PRON
iogr-429	101	15	adjoint	adjoint	NOUN
iogr-429	101	16	sensitivity	sensitivity	NOUN
iogr-429	101	17	calculation	calculation	NOUN
iogr-429	101	18	and	and	CCONJ
iogr-429	101	19	sensitivity	sensitivity	NOUN
iogr-429	101	20	calculated	calculate	VERB
iogr-429	101	21	using	use	VERB
iogr-429	101	22	perturbation	perturbation	NOUN
iogr-429	101	23	.	.	PUNCT
iogr-429	102	1	we	we	PRON
iogr-429	102	2	are	be	AUX
iogr-429	102	3	able	able	ADJ
iogr-429	102	4	to	to	PART
iogr-429	102	5	capture	capture	VERB
iogr-429	102	6	the	the	DET
iogr-429	102	7	trend	trend	NOUN
iogr-429	102	8	of	of	ADP
iogr-429	102	9	both	both	DET
iogr-429	102	10	wct	wct	PROPN
iogr-429	102	11	and	and	CCONJ
iogr-429	102	12	bhp	bhp	PROPN
iogr-429	102	13	,	,	PUNCT
iogr-429	102	14	the	the	DET
iogr-429	102	15	relative	relative	ADJ
iogr-429	102	16	difference	difference	NOUN
iogr-429	102	17	is	be	AUX
iogr-429	102	18	generally	generally	ADV
iogr-429	102	19	less	less	ADJ
iogr-429	102	20	than	than	ADP
iogr-429	102	21	10	10	NUM
iogr-429	102	22	%	%	NOUN
iogr-429	102	23	.	.	PUNCT
iogr-429	103	1	figure	figure	VERB
iogr-429	103	2	4	4	NUM
iogr-429	103	3	—	—	PUNCT
iogr-429	103	4	sensitivity	sensitivity	NOUN
iogr-429	103	5	comparison	comparison	NOUN
iogr-429	103	6	of	of	ADP
iogr-429	103	7	wct	wct	PROPN
iogr-429	103	8	.	.	PUNCT
iogr-429	104	1	perturbation	perturbation	NOUN
iogr-429	104	2	sensitivity	sensitivity	NOUN
iogr-429	104	3	1	1	NUM
iogr-429	104	4	2	2	NUM
iogr-429	104	5	3	3	NUM
iogr-429	104	6	4	4	NUM
iogr-429	104	7	5	5	NUM
iogr-429	104	8	6	6	NUM
iogr-429	104	9	7	7	NUM
iogr-429	104	10	8	8	NUM
iogr-429	104	11	9	9	NUM
iogr-429	104	12	1	1	NUM
iogr-429	104	13	2	2	NUM
iogr-429	104	14	3	3	NUM
iogr-429	104	15	4	4	NUM
iogr-429	104	16	5	5	NUM
iogr-429	104	17	6	6	NUM
iogr-429	104	18	7	7	NUM
iogr-429	104	19	8	8	NUM
iogr-429	104	20	9	9	NUM
iogr-429	104	21	-10	-10	PUNCT
iogr-429	105	1	-8	-8	NOUN
iogr-429	106	1	-6	-6	INTJ
iogr-429	106	2	-4	-4	INTJ
iogr-429	107	1	-2	-2	NOUN
iogr-429	107	2	0	0	NUM
iogr-429	107	3	2	2	NUM
iogr-429	107	4	x	x	SYM
iogr-429	107	5	10	10	NUM
iogr-429	107	6	-8	-8	NOUN
iogr-429	107	7	adjoint	adjoint	NOUN
iogr-429	107	8	sensitivity	sensitivity	NOUN
iogr-429	107	9	1	1	NUM
iogr-429	107	10	2	2	NUM
iogr-429	107	11	3	3	NUM
iogr-429	107	12	4	4	NUM
iogr-429	107	13	5	5	NUM
iogr-429	107	14	6	6	NUM
iogr-429	107	15	7	7	NUM
iogr-429	107	16	8	8	NUM
iogr-429	107	17	9	9	NUM
iogr-429	107	18	1	1	NUM
iogr-429	107	19	2	2	NUM
iogr-429	107	20	3	3	NUM
iogr-429	107	21	4	4	NUM
iogr-429	107	22	5	5	NUM
iogr-429	107	23	6	6	NUM
iogr-429	107	24	7	7	NUM
iogr-429	107	25	8	8	NUM
iogr-429	107	26	9	9	NUM
iogr-429	107	27	-10	-10	PUNCT
iogr-429	107	28	-8	-8	NOUN
iogr-429	108	1	-6	-6	INTJ
iogr-429	108	2	-4	-4	INTJ
iogr-429	109	1	-2	-2	NOUN
iogr-429	109	2	0	0	NUM
iogr-429	109	3	2	2	NUM
iogr-429	109	4	x	x	SYM
iogr-429	109	5	10	10	NUM
iogr-429	109	6	-8	-8	NOUN
iogr-429	109	7	sensitivity	sensitivity	NOUN
iogr-429	109	8	difference	difference	NOUN
iogr-429	109	9	1	1	NUM
iogr-429	109	10	2	2	NUM
iogr-429	109	11	3	3	NUM
iogr-429	109	12	4	4	NUM
iogr-429	109	13	5	5	NUM
iogr-429	109	14	6	6	NUM
iogr-429	109	15	7	7	NUM
iogr-429	109	16	8	8	NUM
iogr-429	109	17	9	9	NUM
iogr-429	109	18	1	1	NUM
iogr-429	109	19	2	2	NUM
iogr-429	109	20	3	3	NUM
iogr-429	109	21	4	4	NUM
iogr-429	109	22	5	5	NUM
iogr-429	109	23	6	6	NUM
iogr-429	109	24	7	7	NUM
iogr-429	109	25	8	8	NUM
iogr-429	109	26	9	9	NUM
iogr-429	109	27	-10	-10	PUNCT
iogr-429	110	1	-9	-9	ADV
iogr-429	110	2	-8	-8	INTJ
iogr-429	111	1	-7	-7	INTJ
iogr-429	112	1	-6	-6	INTJ
iogr-429	112	2	-5	-5	INTJ
iogr-429	112	3	-4	-4	INTJ
iogr-429	112	4	-3	-3	INTJ
iogr-429	112	5	-2	-2	INTJ
iogr-429	113	1	-1	-1	SYM
iogr-429	113	2	0	0	NUM
iogr-429	113	3	1	1	NUM
iogr-429	113	4	x	x	SYM
iogr-429	113	5	10	10	NUM
iogr-429	113	6	-9	-9	NOUN
iogr-429	113	7	%	%	NOUN
iogr-429	113	8	difference	difference	NOUN
iogr-429	113	9	1	1	NUM
iogr-429	113	10	2	2	NUM
iogr-429	113	11	3	3	NUM
iogr-429	113	12	4	4	NUM
iogr-429	113	13	5	5	NUM
iogr-429	113	14	6	6	NUM
iogr-429	113	15	7	7	NUM
iogr-429	113	16	8	8	NUM
iogr-429	113	17	9	9	NUM
iogr-429	113	18	1	1	NUM
iogr-429	113	19	2	2	NUM
iogr-429	113	20	3	3	NUM
iogr-429	113	21	4	4	NUM
iogr-429	113	22	5	5	NUM
iogr-429	113	23	6	6	NUM
iogr-429	113	24	7	7	NUM
iogr-429	113	25	8	8	NUM
iogr-429	113	26	9	9	NUM
iogr-429	113	27	0	0	NUM
iogr-429	113	28	0.05	0.05	NUM
iogr-429	113	29	0.1	0.1	NUM
iogr-429	113	30	0.15	0.15	NUM
iogr-429	113	31	0.2	0.2	NUM
iogr-429	113	32	0.25	0.25	NUM
iogr-429	113	33	perturbation	perturbation	NOUN
iogr-429	113	34	sensitivity	sensitivity	NOUN
iogr-429	113	35	1	1	NUM
iogr-429	113	36	2	2	NUM
iogr-429	113	37	3	3	NUM
iogr-429	113	38	4	4	NUM
iogr-429	113	39	5	5	NUM
iogr-429	113	40	6	6	NUM
iogr-429	113	41	7	7	NUM
iogr-429	113	42	8	8	NUM
iogr-429	113	43	9	9	NUM
iogr-429	113	44	1	1	NUM
iogr-429	113	45	2	2	NUM
iogr-429	113	46	3	3	NUM
iogr-429	113	47	4	4	NUM
iogr-429	113	48	5	5	NUM
iogr-429	113	49	6	6	NUM
iogr-429	113	50	7	7	NUM
iogr-429	113	51	8	8	NUM
iogr-429	113	52	9	9	NUM
iogr-429	113	53	-10	-10	PUNCT
iogr-429	113	54	-8	-8	NOUN
iogr-429	114	1	-6	-6	INTJ
iogr-429	114	2	-4	-4	INTJ
iogr-429	115	1	-2	-2	NOUN
iogr-429	115	2	0	0	NUM
iogr-429	115	3	2	2	NUM
iogr-429	115	4	x	x	SYM
iogr-429	115	5	10	10	NUM
iogr-429	115	6	-8	-8	NOUN
iogr-429	115	7	adjoint	adjoint	NOUN
iogr-429	115	8	sensitivity	sensitivity	NOUN
iogr-429	115	9	1	1	NUM
iogr-429	115	10	2	2	NUM
iogr-429	115	11	3	3	NUM
iogr-429	115	12	4	4	NUM
iogr-429	115	13	5	5	NUM
iogr-429	115	14	6	6	NUM
iogr-429	115	15	7	7	NUM
iogr-429	115	16	8	8	NUM
iogr-429	115	17	9	9	NUM
iogr-429	115	18	1	1	NUM
iogr-429	115	19	2	2	NUM
iogr-429	115	20	3	3	NUM
iogr-429	115	21	4	4	NUM
iogr-429	115	22	5	5	NUM
iogr-429	115	23	6	6	NUM
iogr-429	115	24	7	7	NUM
iogr-429	115	25	8	8	NUM
iogr-429	115	26	9	9	NUM
iogr-429	115	27	-10	-10	PUNCT
iogr-429	115	28	-8	-8	NOUN
iogr-429	116	1	-6	-6	INTJ
iogr-429	116	2	-4	-4	INTJ
iogr-429	117	1	-2	-2	NOUN
iogr-429	117	2	0	0	NUM
iogr-429	117	3	2	2	NUM
iogr-429	117	4	x	x	SYM
iogr-429	117	5	10	10	NUM
iogr-429	117	6	-8	-8	NOUN
iogr-429	117	7	sensitivity	sensitivity	NOUN
iogr-429	117	8	difference	difference	NOUN
iogr-429	117	9	1	1	NUM
iogr-429	117	10	2	2	NUM
iogr-429	117	11	3	3	NUM
iogr-429	117	12	4	4	NUM
iogr-429	117	13	5	5	NUM
iogr-429	117	14	6	6	NUM
iogr-429	117	15	7	7	NUM
iogr-429	117	16	8	8	NUM
iogr-429	117	17	9	9	NUM
iogr-429	117	18	1	1	NUM
iogr-429	117	19	2	2	NUM
iogr-429	117	20	3	3	NUM
iogr-429	117	21	4	4	NUM
iogr-429	117	22	5	5	NUM
iogr-429	117	23	6	6	NUM
iogr-429	117	24	7	7	NUM
iogr-429	117	25	8	8	NUM
iogr-429	117	26	9	9	NUM
iogr-429	117	27	-10	-10	PUNCT
iogr-429	118	1	-9	-9	ADV
iogr-429	118	2	-8	-8	INTJ
iogr-429	119	1	-7	-7	INTJ
iogr-429	120	1	-6	-6	INTJ
iogr-429	120	2	-5	-5	INTJ
iogr-429	120	3	-4	-4	INTJ
iogr-429	120	4	-3	-3	INTJ
iogr-429	120	5	-2	-2	INTJ
iogr-429	121	1	-1	-1	SYM
iogr-429	121	2	0	0	NUM
iogr-429	121	3	1	1	NUM
iogr-429	121	4	x	x	SYM
iogr-429	121	5	10	10	NUM
iogr-429	121	6	-9	-9	NOUN
iogr-429	121	7	%	%	NOUN
iogr-429	121	8	difference	difference	NOUN
iogr-429	121	9	1	1	NUM
iogr-429	121	10	2	2	NUM
iogr-429	121	11	3	3	NUM
iogr-429	121	12	4	4	NUM
iogr-429	121	13	5	5	NUM
iogr-429	121	14	6	6	NUM
iogr-429	121	15	7	7	NUM
iogr-429	121	16	8	8	NUM
iogr-429	121	17	9	9	NUM
iogr-429	121	18	1	1	NUM
iogr-429	121	19	2	2	NUM
iogr-429	121	20	3	3	NUM
iogr-429	121	21	4	4	NUM
iogr-429	121	22	5	5	NUM
iogr-429	121	23	6	6	NUM
iogr-429	121	24	7	7	NUM
iogr-429	121	25	8	8	NUM
iogr-429	121	26	9	9	NUM
iogr-429	121	27	0	0	NUM
iogr-429	121	28	0.05	0.05	NUM
iogr-429	121	29	0.1	0.1	NUM
iogr-429	121	30	0.15	0.15	NUM
iogr-429	121	31	0.2	0.2	NUM
iogr-429	121	32	0.25	0.25	NUM
iogr-429	121	33	perturbation	perturbation	NOUN
iogr-429	121	34	sensitivity	sensitivity	NOUN
iogr-429	121	35	1	1	NUM
iogr-429	121	36	2	2	NUM
iogr-429	121	37	3	3	NUM
iogr-429	121	38	4	4	NUM
iogr-429	121	39	5	5	NUM
iogr-429	121	40	6	6	NUM
iogr-429	121	41	7	7	NUM
iogr-429	121	42	8	8	NUM
iogr-429	121	43	9	9	NUM
iogr-429	121	44	1	1	NUM
iogr-429	121	45	2	2	NUM
iogr-429	121	46	3	3	NUM
iogr-429	121	47	4	4	NUM
iogr-429	121	48	5	5	NUM
iogr-429	121	49	6	6	NUM
iogr-429	121	50	7	7	NUM
iogr-429	121	51	8	8	NUM
iogr-429	121	52	9	9	NUM
iogr-429	121	53	-10	-10	PUNCT
iogr-429	121	54	-8	-8	NOUN
iogr-429	122	1	-6	-6	INTJ
iogr-429	122	2	-4	-4	INTJ
iogr-429	123	1	-2	-2	NOUN
iogr-429	123	2	0	0	NUM
iogr-429	123	3	2	2	NUM
iogr-429	123	4	x	x	SYM
iogr-429	123	5	10	10	NUM
iogr-429	123	6	-8	-8	NOUN
iogr-429	123	7	adjoint	adjoint	NOUN
iogr-429	123	8	sensitivity	sensitivity	NOUN
iogr-429	123	9	1	1	NUM
iogr-429	123	10	2	2	NUM
iogr-429	123	11	3	3	NUM
iogr-429	123	12	4	4	NUM
iogr-429	123	13	5	5	NUM
iogr-429	123	14	6	6	NUM
iogr-429	123	15	7	7	NUM
iogr-429	123	16	8	8	NUM
iogr-429	123	17	9	9	NUM
iogr-429	123	18	1	1	NUM
iogr-429	123	19	2	2	NUM
iogr-429	123	20	3	3	NUM
iogr-429	123	21	4	4	NUM
iogr-429	123	22	5	5	NUM
iogr-429	123	23	6	6	NUM
iogr-429	123	24	7	7	NUM
iogr-429	123	25	8	8	NUM
iogr-429	123	26	9	9	NUM
iogr-429	123	27	-10	-10	PUNCT
iogr-429	123	28	-8	-8	NOUN
iogr-429	124	1	-6	-6	INTJ
iogr-429	124	2	-4	-4	INTJ
iogr-429	125	1	-2	-2	NOUN
iogr-429	125	2	0	0	NUM
iogr-429	125	3	2	2	NUM
iogr-429	125	4	x	x	SYM
iogr-429	125	5	10	10	NUM
iogr-429	125	6	-8	-8	NOUN
iogr-429	125	7	sensitivity	sensitivity	NOUN
iogr-429	125	8	difference	difference	NOUN
iogr-429	125	9	1	1	NUM
iogr-429	125	10	2	2	NUM
iogr-429	125	11	3	3	NUM
iogr-429	125	12	4	4	NUM
iogr-429	125	13	5	5	NUM
iogr-429	125	14	6	6	NUM
iogr-429	125	15	7	7	NUM
iogr-429	125	16	8	8	NUM
iogr-429	125	17	9	9	NUM
iogr-429	125	18	1	1	NUM
iogr-429	125	19	2	2	NUM
iogr-429	125	20	3	3	NUM
iogr-429	125	21	4	4	NUM
iogr-429	125	22	5	5	NUM
iogr-429	125	23	6	6	NUM
iogr-429	125	24	7	7	NUM
iogr-429	125	25	8	8	NUM
iogr-429	125	26	9	9	NUM
iogr-429	125	27	-10	-10	PUNCT
iogr-429	126	1	-9	-9	ADV
iogr-429	126	2	-8	-8	INTJ
iogr-429	127	1	-7	-7	INTJ
iogr-429	128	1	-6	-6	INTJ
iogr-429	128	2	-5	-5	INTJ
iogr-429	128	3	-4	-4	INTJ
iogr-429	128	4	-3	-3	INTJ
iogr-429	128	5	-2	-2	INTJ
iogr-429	129	1	-1	-1	SYM
iogr-429	129	2	0	0	NUM
iogr-429	129	3	1	1	NUM
iogr-429	129	4	x	x	SYM
iogr-429	129	5	10	10	NUM
iogr-429	129	6	-9	-9	NOUN
iogr-429	129	7	%	%	NOUN
iogr-429	129	8	difference	difference	NOUN
iogr-429	129	9	1	1	NUM
iogr-429	129	10	2	2	NUM
iogr-429	129	11	3	3	NUM
iogr-429	129	12	4	4	NUM
iogr-429	129	13	5	5	NUM
iogr-429	129	14	6	6	NUM
iogr-429	129	15	7	7	NUM
iogr-429	129	16	8	8	NUM
iogr-429	129	17	9	9	NUM
iogr-429	129	18	1	1	NUM
iogr-429	129	19	2	2	NUM
iogr-429	129	20	3	3	NUM
iogr-429	129	21	4	4	NUM
iogr-429	129	22	5	5	NUM
iogr-429	129	23	6	6	NUM
iogr-429	129	24	7	7	NUM
iogr-429	129	25	8	8	NUM
iogr-429	129	26	9	9	NUM
iogr-429	129	27	0	0	NUM
iogr-429	129	28	0.05	0.05	NUM
iogr-429	129	29	0.1	0.1	NUM
iogr-429	129	30	0.15	0.15	NUM
iogr-429	129	31	0.2	0.2	NUM
iogr-429	129	32	0.25	0.25	NUM
iogr-429	129	33	perturbation	perturbation	NOUN
iogr-429	129	34	sensitivity	sensitivity	NOUN
iogr-429	129	35	1	1	NUM
iogr-429	129	36	2	2	NUM
iogr-429	129	37	3	3	NUM
iogr-429	129	38	4	4	NUM
iogr-429	129	39	5	5	NUM
iogr-429	129	40	6	6	NUM
iogr-429	129	41	7	7	NUM
iogr-429	129	42	8	8	NUM
iogr-429	129	43	9	9	NUM
iogr-429	129	44	1	1	NUM
iogr-429	129	45	2	2	NUM
iogr-429	129	46	3	3	NUM
iogr-429	129	47	4	4	NUM
iogr-429	129	48	5	5	NUM
iogr-429	129	49	6	6	NUM
iogr-429	129	50	7	7	NUM
iogr-429	129	51	8	8	NUM
iogr-429	129	52	9	9	NUM
iogr-429	129	53	-10	-10	PUNCT
iogr-429	129	54	-8	-8	NOUN
iogr-429	130	1	-6	-6	INTJ
iogr-429	130	2	-4	-4	INTJ
iogr-429	131	1	-2	-2	NOUN
iogr-429	131	2	0	0	NUM
iogr-429	131	3	2	2	NUM
iogr-429	131	4	x	x	SYM
iogr-429	131	5	10	10	NUM
iogr-429	131	6	-8	-8	NOUN
iogr-429	131	7	adjoint	adjoint	NOUN
iogr-429	131	8	sensitivity	sensitivity	NOUN
iogr-429	131	9	1	1	NUM
iogr-429	131	10	2	2	NUM
iogr-429	131	11	3	3	NUM
iogr-429	131	12	4	4	NUM
iogr-429	131	13	5	5	NUM
iogr-429	131	14	6	6	NUM
iogr-429	131	15	7	7	NUM
iogr-429	131	16	8	8	NUM
iogr-429	131	17	9	9	NUM
iogr-429	131	18	1	1	NUM
iogr-429	131	19	2	2	NUM
iogr-429	131	20	3	3	NUM
iogr-429	131	21	4	4	NUM
iogr-429	131	22	5	5	NUM
iogr-429	131	23	6	6	NUM
iogr-429	131	24	7	7	NUM
iogr-429	131	25	8	8	NUM
iogr-429	131	26	9	9	NUM
iogr-429	131	27	-10	-10	PUNCT
iogr-429	131	28	-8	-8	NOUN
iogr-429	132	1	-6	-6	INTJ
iogr-429	132	2	-4	-4	INTJ
iogr-429	133	1	-2	-2	NOUN
iogr-429	133	2	0	0	NUM
iogr-429	133	3	2	2	NUM
iogr-429	133	4	x	x	SYM
iogr-429	133	5	10	10	NUM
iogr-429	133	6	-8	-8	NOUN
iogr-429	133	7	sensitivity	sensitivity	NOUN
iogr-429	133	8	difference	difference	NOUN
iogr-429	133	9	1	1	NUM
iogr-429	133	10	2	2	NUM
iogr-429	133	11	3	3	NUM
iogr-429	133	12	4	4	NUM
iogr-429	133	13	5	5	NUM
iogr-429	133	14	6	6	NUM
iogr-429	133	15	7	7	NUM
iogr-429	133	16	8	8	NUM
iogr-429	133	17	9	9	NUM
iogr-429	133	18	1	1	NUM
iogr-429	133	19	2	2	NUM
iogr-429	133	20	3	3	NUM
iogr-429	133	21	4	4	NUM
iogr-429	133	22	5	5	NUM
iogr-429	133	23	6	6	NUM
iogr-429	133	24	7	7	NUM
iogr-429	133	25	8	8	NUM
iogr-429	133	26	9	9	NUM
iogr-429	133	27	-10	-10	PUNCT
iogr-429	134	1	-9	-9	ADV
iogr-429	134	2	-8	-8	INTJ
iogr-429	135	1	-7	-7	INTJ
iogr-429	136	1	-6	-6	INTJ
iogr-429	136	2	-5	-5	INTJ
iogr-429	136	3	-4	-4	INTJ
iogr-429	136	4	-3	-3	INTJ
iogr-429	136	5	-2	-2	INTJ
iogr-429	137	1	-1	-1	SYM
iogr-429	137	2	0	0	NUM
iogr-429	137	3	1	1	NUM
iogr-429	137	4	x	x	SYM
iogr-429	137	5	10	10	NUM
iogr-429	137	6	-9	-9	NOUN
iogr-429	137	7	%	%	NOUN
iogr-429	137	8	difference	difference	NOUN
iogr-429	137	9	1	1	NUM
iogr-429	137	10	2	2	NUM
iogr-429	137	11	3	3	NUM
iogr-429	137	12	4	4	NUM
iogr-429	137	13	5	5	NUM
iogr-429	137	14	6	6	NUM
iogr-429	137	15	7	7	NUM
iogr-429	137	16	8	8	NUM
iogr-429	137	17	9	9	NUM
iogr-429	137	18	1	1	NUM
iogr-429	137	19	2	2	NUM
iogr-429	137	20	3	3	NUM
iogr-429	137	21	4	4	NUM
iogr-429	137	22	5	5	NUM
iogr-429	137	23	6	6	NUM
iogr-429	137	24	7	7	NUM
iogr-429	137	25	8	8	NUM
iogr-429	137	26	9	9	NUM
iogr-429	137	27	0	0	NUM
iogr-429	137	28	0.05	0.05	NUM
iogr-429	137	29	0.1	0.1	NUM
iogr-429	137	30	0.15	0.15	NUM
iogr-429	137	31	0.2	0.2	NUM
iogr-429	137	32	0.25	0.25	NUM
iogr-429	137	33	7	7	NUM
iogr-429	137	34	figure	figure	NOUN
iogr-429	137	35	5	5	NUM
iogr-429	137	36	—	—	PUNCT
iogr-429	137	37	sensitivity	sensitivity	NOUN
iogr-429	137	38	comparison	comparison	NOUN
iogr-429	137	39	of	of	ADP
iogr-429	137	40	bhp	bhp	PROPN
iogr-429	137	41	.	.	PROPN
iogr-429	137	42	figure	figure	NOUN
iogr-429	137	43	6	6	NUM
iogr-429	137	44	and	and	CCONJ
iogr-429	137	45	7	7	NUM
iogr-429	137	46	shows	show	VERB
iogr-429	137	47	the	the	DET
iogr-429	137	48	model	model	NOUN
iogr-429	137	49	calibration	calibration	NOUN
iogr-429	137	50	history	history	NOUN
iogr-429	137	51	and	and	CCONJ
iogr-429	137	52	results	result	NOUN
iogr-429	137	53	.	.	PUNCT
iogr-429	138	1	we	we	PRON
iogr-429	138	2	are	be	AUX
iogr-429	138	3	able	able	ADJ
iogr-429	138	4	to	to	PART
iogr-429	138	5	match	match	VERB
iogr-429	138	6	both	both	DET
iogr-429	138	7	bhp	bhp	PROPN
iogr-429	138	8	and	and	CCONJ
iogr-429	138	9	wct	wct	PROPN
iogr-429	138	10	quite	quite	ADV
iogr-429	138	11	well	well	ADV
iogr-429	138	12	.	.	PUNCT
iogr-429	139	1	the	the	DET
iogr-429	139	2	updated	update	VERB
iogr-429	139	3	permeability	permeability	NOUN
iogr-429	139	4	field	field	NOUN
iogr-429	139	5	keeps	keep	VERB
iogr-429	139	6	the	the	DET
iogr-429	139	7	high	high	ADJ
iogr-429	139	8	permeability	permeability	NOUN
iogr-429	139	9	region	region	NOUN
iogr-429	139	10	in	in	ADP
iogr-429	139	11	the	the	DET
iogr-429	139	12	center	center	NOUN
iogr-429	139	13	.	.	PUNCT
iogr-429	140	1	it	it	PRON
iogr-429	140	2	does	do	AUX
iogr-429	140	3	not	not	PART
iogr-429	140	4	give	give	VERB
iogr-429	140	5	quite	quite	ADV
iogr-429	140	6	similar	similar	ADJ
iogr-429	140	7	results	result	NOUN
iogr-429	140	8	mainly	mainly	ADV
iogr-429	140	9	due	due	ADP
iogr-429	140	10	to	to	ADP
iogr-429	140	11	the	the	DET
iogr-429	140	12	non	non	ADJ
iogr-429	140	13	-	-	NOUN
iogr-429	140	14	uniqueness	uniqueness	NOUN
iogr-429	140	15	of	of	ADP
iogr-429	140	16	solution	solution	NOUN
iogr-429	140	17	.	.	PUNCT
iogr-429	141	1	figure	figure	NOUN
iogr-429	141	2	6	6	NUM
iogr-429	141	3	—	—	PUNCT
iogr-429	141	4	history	history	NOUN
iogr-429	141	5	of	of	ADP
iogr-429	141	6	model	model	NOUN
iogr-429	141	7	calibration	calibration	NOUN
iogr-429	141	8	(	(	PUNCT
iogr-429	141	9	bhp	bhp	NOUN
iogr-429	141	10	and	and	CCONJ
iogr-429	141	11	wct	wct	PROPN
iogr-429	141	12	)	)	PUNCT
iogr-429	141	13	.	.	PUNCT
iogr-429	142	1	perturbation	perturbation	NOUN
iogr-429	142	2	sensitivity	sensitivity	NOUN
iogr-429	142	3	1	1	NUM
iogr-429	142	4	2	2	NUM
iogr-429	142	5	3	3	NUM
iogr-429	142	6	4	4	NUM
iogr-429	142	7	5	5	NUM
iogr-429	142	8	6	6	NUM
iogr-429	142	9	7	7	NUM
iogr-429	142	10	8	8	NUM
iogr-429	142	11	9	9	NUM
iogr-429	142	12	1	1	NUM
iogr-429	142	13	2	2	NUM
iogr-429	142	14	3	3	NUM
iogr-429	142	15	4	4	NUM
iogr-429	142	16	5	5	NUM
iogr-429	142	17	6	6	NUM
iogr-429	142	18	7	7	NUM
iogr-429	142	19	8	8	NUM
iogr-429	142	20	9	9	NUM
iogr-429	142	21	-2	-2	NOUN
iogr-429	142	22	-1	-1	NOUN
iogr-429	142	23	0	0	NUM
iogr-429	142	24	1	1	NUM
iogr-429	142	25	x	x	SYM
iogr-429	142	26	10	10	NUM
iogr-429	142	27	-4	-4	NUM
iogr-429	142	28	adjoint	adjoint	NOUN
iogr-429	142	29	sensitivity	sensitivity	NOUN
iogr-429	142	30	1	1	NUM
iogr-429	142	31	2	2	NUM
iogr-429	142	32	3	3	NUM
iogr-429	142	33	4	4	NUM
iogr-429	142	34	5	5	NUM
iogr-429	142	35	6	6	NUM
iogr-429	142	36	7	7	NUM
iogr-429	142	37	8	8	NUM
iogr-429	142	38	9	9	NUM
iogr-429	142	39	1	1	NUM
iogr-429	142	40	2	2	NUM
iogr-429	142	41	3	3	NUM
iogr-429	142	42	4	4	NUM
iogr-429	142	43	5	5	NUM
iogr-429	142	44	6	6	NUM
iogr-429	142	45	7	7	NUM
iogr-429	142	46	8	8	NUM
iogr-429	142	47	9	9	NUM
iogr-429	142	48	-2	-2	NOUN
iogr-429	142	49	-1	-1	NOUN
iogr-429	142	50	0	0	NUM
iogr-429	142	51	1	1	NUM
iogr-429	142	52	x	x	SYM
iogr-429	142	53	10	10	NUM
iogr-429	142	54	-4	-4	NOUN
iogr-429	142	55	sensitivity	sensitivity	NOUN
iogr-429	142	56	difference	difference	NOUN
iogr-429	142	57	1	1	NUM
iogr-429	142	58	2	2	NUM
iogr-429	142	59	3	3	NUM
iogr-429	142	60	4	4	NUM
iogr-429	142	61	5	5	NUM
iogr-429	142	62	6	6	NUM
iogr-429	142	63	7	7	NUM
iogr-429	142	64	8	8	NUM
iogr-429	142	65	9	9	NUM
iogr-429	142	66	1	1	NUM
iogr-429	142	67	2	2	NUM
iogr-429	142	68	3	3	NUM
iogr-429	142	69	4	4	NUM
iogr-429	142	70	5	5	NUM
iogr-429	142	71	6	6	NUM
iogr-429	142	72	7	7	NUM
iogr-429	142	73	8	8	NUM
iogr-429	142	74	9	9	NUM
iogr-429	142	75	-1	-1	SYM
iogr-429	142	76	-0.8	-0.8	PROPN
iogr-429	142	77	-0.6	-0.6	X
iogr-429	142	78	-0.4	-0.4	X
iogr-429	142	79	-0.2	-0.2	PROPN
iogr-429	142	80	0	0	NUM
iogr-429	142	81	0.2	0.2	NUM
iogr-429	142	82	0.4	0.4	NUM
iogr-429	142	83	0.6	0.6	NUM
iogr-429	142	84	0.8	0.8	NUM
iogr-429	142	85	1	1	NUM
iogr-429	142	86	x	x	SYM
iogr-429	142	87	10	10	NUM
iogr-429	142	88	-5	-5	NOUN
iogr-429	142	89	%	%	NOUN
iogr-429	142	90	difference	difference	NOUN
iogr-429	142	91	1	1	NUM
iogr-429	142	92	2	2	NUM
iogr-429	142	93	3	3	NUM
iogr-429	142	94	4	4	NUM
iogr-429	142	95	5	5	NUM
iogr-429	142	96	6	6	NUM
iogr-429	142	97	7	7	NUM
iogr-429	142	98	8	8	NUM
iogr-429	142	99	9	9	NUM
iogr-429	142	100	1	1	NUM
iogr-429	142	101	2	2	NUM
iogr-429	142	102	3	3	NUM
iogr-429	142	103	4	4	NUM
iogr-429	142	104	5	5	NUM
iogr-429	142	105	6	6	NUM
iogr-429	142	106	7	7	NUM
iogr-429	142	107	8	8	NUM
iogr-429	142	108	9	9	NUM
iogr-429	142	109	0	0	NUM
iogr-429	142	110	0.05	0.05	NUM
iogr-429	142	111	0.1	0.1	NUM
iogr-429	142	112	0.15	0.15	NUM
iogr-429	142	113	0.2	0.2	NUM
iogr-429	142	114	0.25	0.25	NUM
iogr-429	142	115	perturbation	perturbation	NOUN
iogr-429	142	116	sensitivity	sensitivity	NOUN
iogr-429	142	117	1	1	NUM
iogr-429	142	118	2	2	NUM
iogr-429	142	119	3	3	NUM
iogr-429	142	120	4	4	NUM
iogr-429	142	121	5	5	NUM
iogr-429	142	122	6	6	NUM
iogr-429	142	123	7	7	NUM
iogr-429	142	124	8	8	NUM
iogr-429	142	125	9	9	NUM
iogr-429	142	126	1	1	NUM
iogr-429	142	127	2	2	NUM
iogr-429	142	128	3	3	NUM
iogr-429	142	129	4	4	NUM
iogr-429	142	130	5	5	NUM
iogr-429	142	131	6	6	NUM
iogr-429	142	132	7	7	NUM
iogr-429	142	133	8	8	NUM
iogr-429	142	134	9	9	NUM
iogr-429	142	135	-2	-2	NOUN
iogr-429	142	136	-1	-1	NOUN
iogr-429	142	137	0	0	NUM
iogr-429	142	138	1	1	NUM
iogr-429	142	139	x	x	SYM
iogr-429	142	140	10	10	NUM
iogr-429	142	141	-4	-4	NUM
iogr-429	142	142	adjoint	adjoint	NOUN
iogr-429	142	143	sensitivity	sensitivity	NOUN
iogr-429	142	144	1	1	NUM
iogr-429	142	145	2	2	NUM
iogr-429	142	146	3	3	NUM
iogr-429	142	147	4	4	NUM
iogr-429	142	148	5	5	NUM
iogr-429	142	149	6	6	NUM
iogr-429	142	150	7	7	NUM
iogr-429	142	151	8	8	NUM
iogr-429	142	152	9	9	NUM
iogr-429	142	153	1	1	NUM
iogr-429	142	154	2	2	NUM
iogr-429	142	155	3	3	NUM
iogr-429	142	156	4	4	NUM
iogr-429	142	157	5	5	NUM
iogr-429	142	158	6	6	NUM
iogr-429	142	159	7	7	NUM
iogr-429	142	160	8	8	NUM
iogr-429	142	161	9	9	NUM
iogr-429	142	162	-2	-2	NOUN
iogr-429	142	163	-1	-1	NOUN
iogr-429	142	164	0	0	NUM
iogr-429	142	165	1	1	NUM
iogr-429	142	166	x	x	SYM
iogr-429	142	167	10	10	NUM
iogr-429	142	168	-4	-4	NOUN
iogr-429	142	169	sensitivity	sensitivity	NOUN
iogr-429	142	170	difference	difference	NOUN
iogr-429	142	171	1	1	NUM
iogr-429	142	172	2	2	NUM
iogr-429	142	173	3	3	NUM
iogr-429	142	174	4	4	NUM
iogr-429	142	175	5	5	NUM
iogr-429	142	176	6	6	NUM
iogr-429	142	177	7	7	NUM
iogr-429	142	178	8	8	NUM
iogr-429	142	179	9	9	NUM
iogr-429	142	180	1	1	NUM
iogr-429	142	181	2	2	NUM
iogr-429	142	182	3	3	NUM
iogr-429	142	183	4	4	NUM
iogr-429	142	184	5	5	NUM
iogr-429	142	185	6	6	NUM
iogr-429	142	186	7	7	NUM
iogr-429	142	187	8	8	NUM
iogr-429	142	188	9	9	NUM
iogr-429	142	189	-1	-1	SYM
iogr-429	142	190	-0.8	-0.8	PROPN
iogr-429	142	191	-0.6	-0.6	X
iogr-429	142	192	-0.4	-0.4	X
iogr-429	142	193	-0.2	-0.2	PROPN
iogr-429	142	194	0	0	NUM
iogr-429	142	195	0.2	0.2	NUM
iogr-429	142	196	0.4	0.4	NUM
iogr-429	142	197	0.6	0.6	NUM
iogr-429	142	198	0.8	0.8	NUM
iogr-429	142	199	1	1	NUM
iogr-429	142	200	x	x	SYM
iogr-429	142	201	10	10	NUM
iogr-429	142	202	-5	-5	NOUN
iogr-429	142	203	%	%	NOUN
iogr-429	142	204	difference	difference	NOUN
iogr-429	142	205	1	1	NUM
iogr-429	142	206	2	2	NUM
iogr-429	142	207	3	3	NUM
iogr-429	142	208	4	4	NUM
iogr-429	142	209	5	5	NUM
iogr-429	142	210	6	6	NUM
iogr-429	142	211	7	7	NUM
iogr-429	142	212	8	8	NUM
iogr-429	142	213	9	9	NUM
iogr-429	142	214	1	1	NUM
iogr-429	142	215	2	2	NUM
iogr-429	142	216	3	3	NUM
iogr-429	142	217	4	4	NUM
iogr-429	142	218	5	5	NUM
iogr-429	142	219	6	6	NUM
iogr-429	142	220	7	7	NUM
iogr-429	142	221	8	8	NUM
iogr-429	142	222	9	9	NUM
iogr-429	142	223	0	0	NUM
iogr-429	142	224	0.05	0.05	NUM
iogr-429	142	225	0.1	0.1	NUM
iogr-429	142	226	0.15	0.15	NUM
iogr-429	142	227	0.2	0.2	NUM
iogr-429	142	228	0.25	0.25	NUM
iogr-429	142	229	perturbation	perturbation	NOUN
iogr-429	142	230	sensitivity	sensitivity	NOUN
iogr-429	142	231	1	1	NUM
iogr-429	142	232	2	2	NUM
iogr-429	142	233	3	3	NUM
iogr-429	142	234	4	4	NUM
iogr-429	142	235	5	5	NUM
iogr-429	142	236	6	6	NUM
iogr-429	142	237	7	7	NUM
iogr-429	142	238	8	8	NUM
iogr-429	142	239	9	9	NUM
iogr-429	142	240	1	1	NUM
iogr-429	142	241	2	2	NUM
iogr-429	142	242	3	3	NUM
iogr-429	142	243	4	4	NUM
iogr-429	142	244	5	5	NUM
iogr-429	142	245	6	6	NUM
iogr-429	142	246	7	7	NUM
iogr-429	142	247	8	8	NUM
iogr-429	142	248	9	9	NUM
iogr-429	142	249	-2	-2	NOUN
iogr-429	142	250	-1	-1	NOUN
iogr-429	142	251	0	0	NUM
iogr-429	142	252	1	1	NUM
iogr-429	142	253	x	x	SYM
iogr-429	142	254	10	10	NUM
iogr-429	142	255	-4	-4	NUM
iogr-429	142	256	adjoint	adjoint	NOUN
iogr-429	142	257	sensitivity	sensitivity	NOUN
iogr-429	142	258	1	1	NUM
iogr-429	142	259	2	2	NUM
iogr-429	142	260	3	3	NUM
iogr-429	142	261	4	4	NUM
iogr-429	142	262	5	5	NUM
iogr-429	142	263	6	6	NUM
iogr-429	142	264	7	7	NUM
iogr-429	142	265	8	8	NUM
iogr-429	142	266	9	9	NUM
iogr-429	142	267	1	1	NUM
iogr-429	142	268	2	2	NUM
iogr-429	142	269	3	3	NUM
iogr-429	142	270	4	4	NUM
iogr-429	142	271	5	5	NUM
iogr-429	142	272	6	6	NUM
iogr-429	142	273	7	7	NUM
iogr-429	142	274	8	8	NUM
iogr-429	142	275	9	9	NUM
iogr-429	142	276	-2	-2	NOUN
iogr-429	142	277	-1	-1	NOUN
iogr-429	142	278	0	0	NUM
iogr-429	142	279	1	1	NUM
iogr-429	142	280	x	x	SYM
iogr-429	142	281	10	10	NUM
iogr-429	142	282	-4	-4	NOUN
iogr-429	142	283	sensitivity	sensitivity	NOUN
iogr-429	142	284	difference	difference	NOUN
iogr-429	142	285	1	1	NUM
iogr-429	142	286	2	2	NUM
iogr-429	142	287	3	3	NUM
iogr-429	142	288	4	4	NUM
iogr-429	142	289	5	5	NUM
iogr-429	142	290	6	6	NUM
iogr-429	142	291	7	7	NUM
iogr-429	142	292	8	8	NUM
iogr-429	142	293	9	9	NUM
iogr-429	142	294	1	1	NUM
iogr-429	142	295	2	2	NUM
iogr-429	142	296	3	3	NUM
iogr-429	142	297	4	4	NUM
iogr-429	142	298	5	5	NUM
iogr-429	142	299	6	6	NUM
iogr-429	142	300	7	7	NUM
iogr-429	142	301	8	8	NUM
iogr-429	142	302	9	9	NUM
iogr-429	142	303	-1	-1	SYM
iogr-429	142	304	-0.8	-0.8	PROPN
iogr-429	142	305	-0.6	-0.6	X
iogr-429	142	306	-0.4	-0.4	X
iogr-429	142	307	-0.2	-0.2	PROPN
iogr-429	142	308	0	0	NUM
iogr-429	142	309	0.2	0.2	NUM
iogr-429	142	310	0.4	0.4	NUM
iogr-429	142	311	0.6	0.6	NUM
iogr-429	142	312	0.8	0.8	NUM
iogr-429	142	313	1	1	NUM
iogr-429	142	314	x	x	SYM
iogr-429	142	315	10	10	NUM
iogr-429	142	316	-5	-5	NOUN
iogr-429	142	317	%	%	NOUN
iogr-429	142	318	difference	difference	NOUN
iogr-429	142	319	1	1	NUM
iogr-429	142	320	2	2	NUM
iogr-429	142	321	3	3	NUM
iogr-429	142	322	4	4	NUM
iogr-429	142	323	5	5	NUM
iogr-429	142	324	6	6	NUM
iogr-429	142	325	7	7	NUM
iogr-429	142	326	8	8	NUM
iogr-429	142	327	9	9	NUM
iogr-429	142	328	1	1	NUM
iogr-429	142	329	2	2	NUM
iogr-429	142	330	3	3	NUM
iogr-429	142	331	4	4	NUM
iogr-429	142	332	5	5	NUM
iogr-429	142	333	6	6	NUM
iogr-429	142	334	7	7	NUM
iogr-429	142	335	8	8	NUM
iogr-429	142	336	9	9	NUM
iogr-429	142	337	0	0	NUM
iogr-429	142	338	0.05	0.05	NUM
iogr-429	142	339	0.1	0.1	NUM
iogr-429	142	340	0.15	0.15	NUM
iogr-429	142	341	0.2	0.2	NUM
iogr-429	142	342	0.25	0.25	NUM
iogr-429	142	343	perturbation	perturbation	NOUN
iogr-429	142	344	sensitivity	sensitivity	NOUN
iogr-429	142	345	1	1	NUM
iogr-429	142	346	2	2	NUM
iogr-429	142	347	3	3	NUM
iogr-429	142	348	4	4	NUM
iogr-429	142	349	5	5	NUM
iogr-429	142	350	6	6	NUM
iogr-429	142	351	7	7	NUM
iogr-429	142	352	8	8	NUM
iogr-429	142	353	9	9	NUM
iogr-429	142	354	1	1	NUM
iogr-429	142	355	2	2	NUM
iogr-429	142	356	3	3	NUM
iogr-429	142	357	4	4	NUM
iogr-429	142	358	5	5	NUM
iogr-429	142	359	6	6	NUM
iogr-429	142	360	7	7	NUM
iogr-429	142	361	8	8	NUM
iogr-429	142	362	9	9	NUM
iogr-429	142	363	-2	-2	NOUN
iogr-429	142	364	-1	-1	NOUN
iogr-429	142	365	0	0	NUM
iogr-429	142	366	1	1	NUM
iogr-429	142	367	x	x	SYM
iogr-429	142	368	10	10	NUM
iogr-429	142	369	-4	-4	NUM
iogr-429	142	370	adjoint	adjoint	NOUN
iogr-429	142	371	sensitivity	sensitivity	NOUN
iogr-429	142	372	1	1	NUM
iogr-429	142	373	2	2	NUM
iogr-429	142	374	3	3	NUM
iogr-429	142	375	4	4	NUM
iogr-429	142	376	5	5	NUM
iogr-429	142	377	6	6	NUM
iogr-429	142	378	7	7	NUM
iogr-429	142	379	8	8	NUM
iogr-429	142	380	9	9	NUM
iogr-429	142	381	1	1	NUM
iogr-429	142	382	2	2	NUM
iogr-429	142	383	3	3	NUM
iogr-429	142	384	4	4	NUM
iogr-429	142	385	5	5	NUM
iogr-429	142	386	6	6	NUM
iogr-429	142	387	7	7	NUM
iogr-429	142	388	8	8	NUM
iogr-429	142	389	9	9	NUM
iogr-429	142	390	-2	-2	NOUN
iogr-429	142	391	-1	-1	NOUN
iogr-429	142	392	0	0	NUM
iogr-429	142	393	1	1	NUM
iogr-429	142	394	x	x	SYM
iogr-429	142	395	10	10	NUM
iogr-429	142	396	-4	-4	NOUN
iogr-429	142	397	sensitivity	sensitivity	NOUN
iogr-429	142	398	difference	difference	NOUN
iogr-429	142	399	1	1	NUM
iogr-429	142	400	2	2	NUM
iogr-429	142	401	3	3	NUM
iogr-429	142	402	4	4	NUM
iogr-429	142	403	5	5	NUM
iogr-429	142	404	6	6	NUM
iogr-429	142	405	7	7	NUM
iogr-429	142	406	8	8	NUM
iogr-429	142	407	9	9	NUM
iogr-429	142	408	1	1	NUM
iogr-429	142	409	2	2	NUM
iogr-429	142	410	3	3	NUM
iogr-429	142	411	4	4	NUM
iogr-429	142	412	5	5	NUM
iogr-429	142	413	6	6	NUM
iogr-429	142	414	7	7	NUM
iogr-429	142	415	8	8	NUM
iogr-429	142	416	9	9	NUM
iogr-429	142	417	-1	-1	SYM
iogr-429	142	418	-0.8	-0.8	PROPN
iogr-429	142	419	-0.6	-0.6	X
iogr-429	142	420	-0.4	-0.4	X
iogr-429	142	421	-0.2	-0.2	PROPN
iogr-429	142	422	0	0	NUM
iogr-429	142	423	0.2	0.2	NUM
iogr-429	142	424	0.4	0.4	NUM
iogr-429	142	425	0.6	0.6	NUM
iogr-429	142	426	0.8	0.8	NUM
iogr-429	142	427	1	1	NUM
iogr-429	142	428	x	x	SYM
iogr-429	142	429	10	10	NUM
iogr-429	142	430	-5	-5	NOUN
iogr-429	142	431	%	%	NOUN
iogr-429	142	432	difference	difference	NOUN
iogr-429	142	433	1	1	NUM
iogr-429	142	434	2	2	NUM
iogr-429	142	435	3	3	NUM
iogr-429	142	436	4	4	NUM
iogr-429	142	437	5	5	NUM
iogr-429	142	438	6	6	NUM
iogr-429	142	439	7	7	NUM
iogr-429	142	440	8	8	NUM
iogr-429	142	441	9	9	NUM
iogr-429	142	442	1	1	NUM
iogr-429	142	443	2	2	NUM
iogr-429	142	444	3	3	NUM
iogr-429	142	445	4	4	NUM
iogr-429	142	446	5	5	NUM
iogr-429	142	447	6	6	NUM
iogr-429	142	448	7	7	NUM
iogr-429	142	449	8	8	NUM
iogr-429	142	450	9	9	NUM
iogr-429	142	451	0	0	NUM
iogr-429	142	452	0.05	0.05	NUM
iogr-429	142	453	0.1	0.1	NUM
iogr-429	142	454	0.15	0.15	NUM
iogr-429	142	455	0.2	0.2	NUM
iogr-429	142	456	0.25	0.25	NUM
iogr-429	142	457	100	100	NUM
iogr-429	142	458	200	200	NUM
iogr-429	142	459	300	300	NUM
iogr-429	142	460	400	400	NUM
iogr-429	142	461	500	500	NUM
iogr-429	142	462	600	600	NUM
iogr-429	142	463	700	700	NUM
iogr-429	142	464	800	800	NUM
iogr-429	142	465	900	900	NUM
iogr-429	142	466	1000	1000	NUM
iogr-429	142	467	2975	2975	NUM
iogr-429	142	468	2980	2980	NUM
iogr-429	142	469	2985	2985	NUM
iogr-429	142	470	2990	2990	NUM
iogr-429	142	471	2995	2995	NUM
iogr-429	142	472	3000	3000	NUM
iogr-429	142	473	bhp	bhp	NOUN
iogr-429	142	474	time	time	NOUN
iogr-429	142	475	(	(	PUNCT
iogr-429	142	476	days	day	NOUN
iogr-429	142	477	)	)	PUNCT
iogr-429	142	478	p	p	X
iogr-429	142	479	re	re	ADP
iogr-429	142	480	s	s	NOUN
iogr-429	142	481	s	s	X
iogr-429	142	482	u	u	X
iogr-429	142	483	re	re	X
iogr-429	142	484	(	(	PUNCT
iogr-429	142	485	p	p	X
iogr-429	142	486	s	s	PROPN
iogr-429	142	487	i	i	NOUN
iogr-429	142	488	)	)	PUNCT
iogr-429	142	489	100	100	NUM
iogr-429	142	490	200	200	NUM
iogr-429	142	491	300	300	NUM
iogr-429	142	492	400	400	NUM
iogr-429	142	493	500	500	NUM
iogr-429	142	494	600	600	NUM
iogr-429	142	495	700	700	NUM
iogr-429	142	496	800	800	NUM
iogr-429	142	497	900	900	NUM
iogr-429	142	498	1000	1000	NUM
iogr-429	142	499	0	0	NUM
iogr-429	142	500	0.2	0.2	NUM
iogr-429	142	501	0.4	0.4	NUM
iogr-429	142	502	0.6	0.6	NUM
iogr-429	142	503	0.8	0.8	NUM
iogr-429	142	504	1	1	NUM
iogr-429	142	505	wct	wct	ADJ
iogr-429	142	506	time	time	NOUN
iogr-429	142	507	(	(	PUNCT
iogr-429	142	508	days	day	NOUN
iogr-429	142	509	)	)	PUNCT
iogr-429	142	510	reference	reference	NOUN
iogr-429	142	511	permeability	permeability	NOUN
iogr-429	142	512	(	(	PUNCT
iogr-429	142	513	log10	log10	PROPN
iogr-429	142	514	scale	scale	NOUN
iogr-429	142	515	)	)	PUNCT
iogr-429	142	516	1	1	NUM
iogr-429	142	517	2	2	NUM
iogr-429	142	518	3	3	NUM
iogr-429	142	519	4	4	NUM
iogr-429	142	520	5	5	NUM
iogr-429	142	521	6	6	NUM
iogr-429	142	522	7	7	NUM
iogr-429	142	523	8	8	NUM
iogr-429	142	524	9	9	NUM
iogr-429	142	525	1	1	NUM
iogr-429	142	526	2	2	NUM
iogr-429	142	527	3	3	NUM
iogr-429	142	528	4	4	NUM
iogr-429	142	529	5	5	NUM
iogr-429	142	530	6	6	NUM
iogr-429	142	531	7	7	NUM
iogr-429	142	532	8	8	NUM
iogr-429	142	533	9	9	NUM
iogr-429	142	534	updated	update	VERB
iogr-429	142	535	permeability	permeability	NOUN
iogr-429	142	536	(	(	PUNCT
iogr-429	142	537	log10	log10	PROPN
iogr-429	142	538	scale	scale	NOUN
iogr-429	142	539	)	)	PUNCT
iogr-429	142	540	1	1	NUM
iogr-429	142	541	2	2	NUM
iogr-429	142	542	3	3	NUM
iogr-429	142	543	4	4	NUM
iogr-429	142	544	5	5	NUM
iogr-429	142	545	6	6	NUM
iogr-429	142	546	7	7	NUM
iogr-429	142	547	8	8	NUM
iogr-429	142	548	9	9	NUM
iogr-429	142	549	1	1	NUM
iogr-429	142	550	2	2	NUM
iogr-429	142	551	3	3	NUM
iogr-429	142	552	4	4	NUM
iogr-429	142	553	5	5	NUM
iogr-429	142	554	6	6	NUM
iogr-429	142	555	7	7	NUM
iogr-429	142	556	8	8	NUM
iogr-429	142	557	9	9	NUM
iogr-429	142	558	0.5	0.5	NUM
iogr-429	142	559	1	1	NUM
iogr-429	142	560	1.5	1.5	NUM
iogr-429	142	561	2	2	NUM
iogr-429	142	562	2.5	2.5	NUM
iogr-429	142	563	3	3	NUM
iogr-429	142	564	3.5	3.5	NUM
iogr-429	142	565	0.5	0.5	NUM
iogr-429	142	566	1	1	NUM
iogr-429	142	567	1.5	1.5	NUM
iogr-429	142	568	2	2	NUM
iogr-429	142	569	2.5	2.5	NUM
iogr-429	142	570	3	3	NUM
iogr-429	142	571	3.5	3.5	NUM
iogr-429	142	572	100	100	NUM
iogr-429	142	573	200	200	NUM
iogr-429	142	574	300	300	NUM
iogr-429	142	575	400	400	NUM
iogr-429	142	576	500	500	NUM
iogr-429	142	577	600	600	NUM
iogr-429	142	578	700	700	NUM
iogr-429	142	579	800	800	NUM
iogr-429	142	580	900	900	NUM
iogr-429	142	581	1000	1000	NUM
iogr-429	142	582	2975	2975	NUM
iogr-429	142	583	2980	2980	NUM
iogr-429	142	584	2985	2985	NUM
iogr-429	142	585	2990	2990	NUM
iogr-429	142	586	2995	2995	NUM
iogr-429	142	587	3000	3000	NUM
iogr-429	142	588	bhp	bhp	NOUN
iogr-429	142	589	time	time	NOUN
iogr-429	142	590	(	(	PUNCT
iogr-429	142	591	days	day	NOUN
iogr-429	142	592	)	)	PUNCT
iogr-429	142	593	p	p	X
iogr-429	142	594	re	re	ADP
iogr-429	142	595	s	s	NOUN
iogr-429	142	596	s	s	X
iogr-429	142	597	u	u	X
iogr-429	142	598	re	re	X
iogr-429	142	599	(	(	PUNCT
iogr-429	142	600	p	p	X
iogr-429	142	601	s	s	PROPN
iogr-429	142	602	i	i	NOUN
iogr-429	142	603	)	)	PUNCT
iogr-429	142	604	100	100	NUM
iogr-429	142	605	200	200	NUM
iogr-429	142	606	300	300	NUM
iogr-429	142	607	400	400	NUM
iogr-429	142	608	500	500	NUM
iogr-429	142	609	600	600	NUM
iogr-429	142	610	700	700	NUM
iogr-429	142	611	800	800	NUM
iogr-429	142	612	900	900	NUM
iogr-429	142	613	1000	1000	NUM
iogr-429	142	614	0	0	NUM
iogr-429	142	615	0.2	0.2	NUM
iogr-429	142	616	0.4	0.4	NUM
iogr-429	142	617	0.6	0.6	NUM
iogr-429	142	618	0.8	0.8	NUM
iogr-429	142	619	1	1	NUM
iogr-429	142	620	wct	wct	ADJ
iogr-429	142	621	time	time	NOUN
iogr-429	142	622	(	(	PUNCT
iogr-429	142	623	days	day	NOUN
iogr-429	142	624	)	)	PUNCT
iogr-429	142	625	reference	reference	NOUN
iogr-429	142	626	permeability	permeability	NOUN
iogr-429	142	627	(	(	PUNCT
iogr-429	142	628	log10	log10	PROPN
iogr-429	142	629	scale	scale	NOUN
iogr-429	142	630	)	)	PUNCT
iogr-429	142	631	1	1	NUM
iogr-429	142	632	2	2	NUM
iogr-429	142	633	3	3	NUM
iogr-429	142	634	4	4	NUM
iogr-429	142	635	5	5	NUM
iogr-429	142	636	6	6	NUM
iogr-429	142	637	7	7	NUM
iogr-429	142	638	8	8	NUM
iogr-429	142	639	9	9	NUM
iogr-429	142	640	1	1	NUM
iogr-429	142	641	2	2	NUM
iogr-429	142	642	3	3	NUM
iogr-429	142	643	4	4	NUM
iogr-429	142	644	5	5	NUM
iogr-429	142	645	6	6	NUM
iogr-429	142	646	7	7	NUM
iogr-429	142	647	8	8	NUM
iogr-429	142	648	9	9	NUM
iogr-429	142	649	updated	update	VERB
iogr-429	142	650	permeability	permeability	NOUN
iogr-429	142	651	(	(	PUNCT
iogr-429	142	652	log10	log10	PROPN
iogr-429	142	653	scale	scale	NOUN
iogr-429	142	654	)	)	PUNCT
iogr-429	142	655	1	1	NUM
iogr-429	142	656	2	2	NUM
iogr-429	142	657	3	3	NUM
iogr-429	142	658	4	4	NUM
iogr-429	142	659	5	5	NUM
iogr-429	142	660	6	6	NUM
iogr-429	142	661	7	7	NUM
iogr-429	142	662	8	8	NUM
iogr-429	142	663	9	9	NUM
iogr-429	142	664	1	1	NUM
iogr-429	142	665	2	2	NUM
iogr-429	142	666	3	3	NUM
iogr-429	142	667	4	4	NUM
iogr-429	142	668	5	5	NUM
iogr-429	142	669	6	6	NUM
iogr-429	142	670	7	7	NUM
iogr-429	142	671	8	8	NUM
iogr-429	142	672	9	9	NUM
iogr-429	142	673	0.5	0.5	NUM
iogr-429	142	674	1	1	NUM
iogr-429	142	675	1.5	1.5	NUM
iogr-429	142	676	2	2	NUM
iogr-429	142	677	2.5	2.5	NUM
iogr-429	142	678	3	3	NUM
iogr-429	142	679	3.5	3.5	NUM
iogr-429	142	680	0.5	0.5	NUM
iogr-429	142	681	1	1	NUM
iogr-429	142	682	1.5	1.5	NUM
iogr-429	142	683	2	2	NUM
iogr-429	142	684	2.5	2.5	NUM
iogr-429	142	685	3	3	NUM
iogr-429	142	686	3.5	3.5	NUM
iogr-429	142	687	8	8	NUM
iogr-429	142	688	figure	figure	NOUN
iogr-429	142	689	7	7	NUM
iogr-429	142	690	—	—	PUNCT
iogr-429	142	691	model	model	NOUN
iogr-429	142	692	calibration	calibration	NOUN
iogr-429	142	693	results	result	NOUN
iogr-429	142	694	(	(	PUNCT
iogr-429	142	695	bhp	bhp	NOUN
iogr-429	142	696	and	and	CCONJ
iogr-429	142	697	wct	wct	PROPN
iogr-429	142	698	)	)	PUNCT
iogr-429	142	699	.	.	PUNCT
iogr-429	143	1	figure	figure	NOUN
iogr-429	143	2	8	8	NUM
iogr-429	143	3	shows	show	VERB
iogr-429	143	4	the	the	DET
iogr-429	143	5	history	history	NOUN
iogr-429	143	6	of	of	ADP
iogr-429	143	7	objectives	objective	NOUN
iogr-429	143	8	.	.	PUNCT
iogr-429	144	1	the	the	DET
iogr-429	144	2	data	data	NOUN
iogr-429	144	3	misfit	misfit	NOUN
iogr-429	144	4	decrease	decrease	NOUN
iogr-429	144	5	dramatically	dramatically	ADV
iogr-429	144	6	,	,	PUNCT
iogr-429	144	7	even	even	ADV
iogr-429	144	8	in	in	ADP
iogr-429	144	9	the	the	DET
iogr-429	144	10	semilog	semilog	NOUN
iogr-429	144	11	plot	plot	NOUN
iogr-429	144	12	.	.	PUNCT
iogr-429	145	1	figure	figure	NOUN
iogr-429	145	2	8	8	NUM
iogr-429	145	3	—	—	PUNCT
iogr-429	145	4	history	history	NOUN
iogr-429	145	5	of	of	ADP
iogr-429	145	6	objective	objective	ADJ
iogr-429	145	7	(	(	PUNCT
iogr-429	145	8	normal	normal	ADJ
iogr-429	145	9	and	and	CCONJ
iogr-429	145	10	semilog	semilog	ADJ
iogr-429	145	11	coordinate	coordinate	NOUN
iogr-429	145	12	)	)	PUNCT
iogr-429	145	13	.	.	PUNCT
iogr-429	146	1	physical	physical	ADJ
iogr-429	146	2	explanation	explanation	NOUN
iogr-429	146	3	of	of	ADP
iogr-429	146	4	sensitivity	sensitivity	NOUN
iogr-429	146	5	the	the	DET
iogr-429	146	6	effect	effect	NOUN
iogr-429	146	7	of	of	ADP
iogr-429	146	8	permeability	permeability	NOUN
iogr-429	146	9	change	change	NOUN
iogr-429	146	10	on	on	ADP
iogr-429	146	11	the	the	DET
iogr-429	146	12	bhp	bhp	PROPN
iogr-429	146	13	and	and	CCONJ
iogr-429	146	14	wor	wor	PROPN
iogr-429	146	15	is	be	AUX
iogr-429	146	16	studied	study	VERB
iogr-429	146	17	.	.	PUNCT
iogr-429	147	1	figure	figure	NOUN
iogr-429	147	2	9	9	NUM
iogr-429	147	3	shows	show	VERB
iogr-429	147	4	the	the	DET
iogr-429	147	5	sensitivity	sensitivity	NOUN
iogr-429	147	6	of	of	ADP
iogr-429	147	7	bhp	bhp	NOUN
iogr-429	147	8	with	with	ADP
iogr-429	147	9	the	the	DET
iogr-429	147	10	permeability	permeability	NOUN
iogr-429	147	11	.	.	PUNCT
iogr-429	148	1	100	100	NUM
iogr-429	148	2	200	200	NUM
iogr-429	148	3	300	300	NUM
iogr-429	148	4	400	400	NUM
iogr-429	148	5	500	500	NUM
iogr-429	148	6	600	600	NUM
iogr-429	148	7	700	700	NUM
iogr-429	148	8	800	800	NUM
iogr-429	148	9	900	900	NUM
iogr-429	148	10	1000	1000	NUM
iogr-429	148	11	2975	2975	NUM
iogr-429	148	12	2980	2980	NUM
iogr-429	148	13	2985	2985	NUM
iogr-429	148	14	2990	2990	NUM
iogr-429	148	15	2995	2995	NUM
iogr-429	148	16	3000	3000	NUM
iogr-429	148	17	bhp	bhp	NOUN
iogr-429	148	18	time	time	NOUN
iogr-429	148	19	(	(	PUNCT
iogr-429	148	20	days	day	NOUN
iogr-429	148	21	)	)	PUNCT
iogr-429	148	22	p	p	X
iogr-429	148	23	re	re	ADP
iogr-429	148	24	s	s	NOUN
iogr-429	148	25	s	s	X
iogr-429	148	26	u	u	X
iogr-429	148	27	re	re	X
iogr-429	148	28	(	(	PUNCT
iogr-429	148	29	p	p	X
iogr-429	148	30	s	s	PROPN
iogr-429	148	31	i	i	NOUN
iogr-429	148	32	)	)	PUNCT
iogr-429	148	33	reference	reference	NOUN
iogr-429	148	34	initial	initial	NOUN
iogr-429	148	35	updated	update	VERB
iogr-429	148	36	100	100	NUM
iogr-429	148	37	200	200	NUM
iogr-429	148	38	300	300	NUM
iogr-429	148	39	400	400	NUM
iogr-429	148	40	500	500	NUM
iogr-429	148	41	600	600	NUM
iogr-429	148	42	700	700	NUM
iogr-429	148	43	800	800	NUM
iogr-429	148	44	900	900	NUM
iogr-429	148	45	1000	1000	NUM
iogr-429	148	46	0	0	NUM
iogr-429	148	47	0.2	0.2	NUM
iogr-429	148	48	0.4	0.4	NUM
iogr-429	148	49	0.6	0.6	NUM
iogr-429	148	50	0.8	0.8	NUM
iogr-429	148	51	1	1	NUM
iogr-429	148	52	wct	wct	ADJ
iogr-429	148	53	time	time	NOUN
iogr-429	148	54	(	(	PUNCT
iogr-429	148	55	days	day	NOUN
iogr-429	148	56	)	)	PUNCT
iogr-429	148	57	reference	reference	NOUN
iogr-429	148	58	initial	initial	ADJ
iogr-429	148	59	updated	update	VERB
iogr-429	148	60	reference	reference	NOUN
iogr-429	148	61	permeability	permeability	NOUN
iogr-429	148	62	(	(	PUNCT
iogr-429	148	63	log10	log10	PROPN
iogr-429	148	64	scale	scale	NOUN
iogr-429	148	65	)	)	PUNCT
iogr-429	148	66	2	2	NUM
iogr-429	148	67	4	4	NUM
iogr-429	148	68	6	6	NUM
iogr-429	148	69	8	8	NUM
iogr-429	148	70	1	1	NUM
iogr-429	148	71	2	2	NUM
iogr-429	148	72	3	3	NUM
iogr-429	148	73	4	4	NUM
iogr-429	148	74	5	5	NUM
iogr-429	148	75	6	6	NUM
iogr-429	148	76	7	7	NUM
iogr-429	148	77	8	8	NUM
iogr-429	148	78	9	9	NUM
iogr-429	148	79	0.5	0.5	NUM
iogr-429	148	80	1	1	NUM
iogr-429	148	81	1.5	1.5	NUM
iogr-429	148	82	2	2	NUM
iogr-429	148	83	2.5	2.5	NUM
iogr-429	148	84	3	3	NUM
iogr-429	148	85	3.5	3.5	NUM
iogr-429	148	86	updated	update	VERB
iogr-429	148	87	permeability	permeability	NOUN
iogr-429	148	88	(	(	PUNCT
iogr-429	148	89	log10	log10	PROPN
iogr-429	148	90	scale	scale	NOUN
iogr-429	148	91	)	)	PUNCT
iogr-429	148	92	2	2	NUM
iogr-429	148	93	4	4	NUM
iogr-429	148	94	6	6	NUM
iogr-429	148	95	8	8	NUM
iogr-429	148	96	1	1	NUM
iogr-429	148	97	2	2	NUM
iogr-429	148	98	3	3	NUM
iogr-429	148	99	4	4	NUM
iogr-429	148	100	5	5	NUM
iogr-429	148	101	6	6	NUM
iogr-429	148	102	7	7	NUM
iogr-429	148	103	8	8	NUM
iogr-429	148	104	9	9	NUM
iogr-429	148	105	0.5	0.5	NUM
iogr-429	148	106	1	1	NUM
iogr-429	148	107	1.5	1.5	NUM
iogr-429	148	108	2	2	NUM
iogr-429	148	109	2.5	2.5	NUM
iogr-429	148	110	3	3	NUM
iogr-429	148	111	3.5	3.5	NUM
iogr-429	148	112	100	100	NUM
iogr-429	148	113	200	200	NUM
iogr-429	148	114	300	300	NUM
iogr-429	148	115	400	400	NUM
iogr-429	148	116	500	500	NUM
iogr-429	148	117	600	600	NUM
iogr-429	148	118	700	700	NUM
iogr-429	148	119	800	800	NUM
iogr-429	148	120	900	900	NUM
iogr-429	148	121	1000	1000	NUM
iogr-429	148	122	2975	2975	NUM
iogr-429	148	123	2980	2980	NUM
iogr-429	148	124	2985	2985	NUM
iogr-429	148	125	2990	2990	NUM
iogr-429	148	126	2995	2995	NUM
iogr-429	148	127	3000	3000	NUM
iogr-429	149	1	bhp	bhp	NOUN
iogr-429	149	2	time	time	NOUN
iogr-429	149	3	(	(	PUNCT
iogr-429	149	4	days	day	NOUN
iogr-429	149	5	)	)	PUNCT
iogr-429	149	6	p	p	X
iogr-429	149	7	re	re	ADP
iogr-429	149	8	s	s	NOUN
iogr-429	149	9	s	s	X
iogr-429	149	10	u	u	X
iogr-429	149	11	re	re	X
iogr-429	149	12	(	(	PUNCT
iogr-429	149	13	p	p	X
iogr-429	149	14	s	s	PROPN
iogr-429	149	15	i	i	NOUN
iogr-429	149	16	)	)	PUNCT
iogr-429	149	17	reference	reference	NOUN
iogr-429	149	18	initial	initial	NOUN
iogr-429	149	19	updated	update	VERB
iogr-429	149	20	100	100	NUM
iogr-429	149	21	200	200	NUM
iogr-429	149	22	300	300	NUM
iogr-429	149	23	400	400	NUM
iogr-429	149	24	500	500	NUM
iogr-429	149	25	600	600	NUM
iogr-429	149	26	700	700	NUM
iogr-429	149	27	800	800	NUM
iogr-429	149	28	900	900	NUM
iogr-429	149	29	1000	1000	NUM
iogr-429	149	30	0	0	NUM
iogr-429	149	31	0.2	0.2	NUM
iogr-429	149	32	0.4	0.4	NUM
iogr-429	149	33	0.6	0.6	NUM
iogr-429	149	34	0.8	0.8	NUM
iogr-429	149	35	1	1	NUM
iogr-429	149	36	wct	wct	ADJ
iogr-429	149	37	time	time	NOUN
iogr-429	149	38	(	(	PUNCT
iogr-429	149	39	days	day	NOUN
iogr-429	149	40	)	)	PUNCT
iogr-429	149	41	reference	reference	NOUN
iogr-429	149	42	initial	initial	ADJ
iogr-429	149	43	updated	update	VERB
iogr-429	149	44	reference	reference	NOUN
iogr-429	149	45	permeability	permeability	NOUN
iogr-429	149	46	(	(	PUNCT
iogr-429	149	47	log10	log10	PROPN
iogr-429	149	48	scale	scale	NOUN
iogr-429	149	49	)	)	PUNCT
iogr-429	149	50	2	2	NUM
iogr-429	149	51	4	4	NUM
iogr-429	149	52	6	6	NUM
iogr-429	149	53	8	8	NUM
iogr-429	149	54	1	1	NUM
iogr-429	149	55	2	2	NUM
iogr-429	149	56	3	3	NUM
iogr-429	149	57	4	4	NUM
iogr-429	149	58	5	5	NUM
iogr-429	149	59	6	6	NUM
iogr-429	149	60	7	7	NUM
iogr-429	149	61	8	8	NUM
iogr-429	149	62	9	9	NUM
iogr-429	149	63	0.5	0.5	NUM
iogr-429	149	64	1	1	NUM
iogr-429	149	65	1.5	1.5	NUM
iogr-429	149	66	2	2	NUM
iogr-429	149	67	2.5	2.5	NUM
iogr-429	149	68	3	3	NUM
iogr-429	149	69	3.5	3.5	NUM
iogr-429	149	70	updated	update	VERB
iogr-429	149	71	permeability	permeability	NOUN
iogr-429	149	72	(	(	PUNCT
iogr-429	149	73	log10	log10	PROPN
iogr-429	149	74	scale	scale	NOUN
iogr-429	149	75	)	)	PUNCT
iogr-429	149	76	2	2	NUM
iogr-429	149	77	4	4	NUM
iogr-429	149	78	6	6	NUM
iogr-429	149	79	8	8	NUM
iogr-429	149	80	1	1	NUM
iogr-429	149	81	2	2	NUM
iogr-429	149	82	3	3	NUM
iogr-429	149	83	4	4	NUM
iogr-429	149	84	5	5	NUM
iogr-429	149	85	6	6	NUM
iogr-429	149	86	7	7	NUM
iogr-429	149	87	8	8	NUM
iogr-429	149	88	9	9	NUM
iogr-429	149	89	0.5	0.5	NUM
iogr-429	149	90	1	1	NUM
iogr-429	149	91	1.5	1.5	NUM
iogr-429	149	92	2	2	NUM
iogr-429	149	93	2.5	2.5	NUM
iogr-429	149	94	3	3	NUM
iogr-429	149	95	3.5	3.5	NUM
iogr-429	149	96	100	100	NUM
iogr-429	149	97	200	200	NUM
iogr-429	149	98	300	300	NUM
iogr-429	149	99	400	400	NUM
iogr-429	149	100	500	500	NUM
iogr-429	149	101	600	600	NUM
iogr-429	149	102	700	700	NUM
iogr-429	149	103	800	800	NUM
iogr-429	149	104	900	900	NUM
iogr-429	149	105	1000	1000	NUM
iogr-429	149	106	2975	2975	NUM
iogr-429	149	107	2980	2980	NUM
iogr-429	149	108	2985	2985	NUM
iogr-429	149	109	2990	2990	NUM
iogr-429	149	110	2995	2995	NUM
iogr-429	149	111	3000	3000	NUM
iogr-429	150	1	bhp	bhp	NOUN
iogr-429	150	2	time	time	NOUN
iogr-429	150	3	(	(	PUNCT
iogr-429	150	4	days	day	NOUN
iogr-429	150	5	)	)	PUNCT
iogr-429	150	6	p	p	X
iogr-429	150	7	re	re	ADP
iogr-429	150	8	s	s	NOUN
iogr-429	150	9	s	s	X
iogr-429	150	10	u	u	X
iogr-429	150	11	re	re	X
iogr-429	150	12	(	(	PUNCT
iogr-429	150	13	p	p	X
iogr-429	150	14	s	s	PROPN
iogr-429	150	15	i	i	NOUN
iogr-429	150	16	)	)	PUNCT
iogr-429	150	17	reference	reference	NOUN
iogr-429	150	18	initial	initial	NOUN
iogr-429	150	19	updated	update	VERB
iogr-429	150	20	100	100	NUM
iogr-429	150	21	200	200	NUM
iogr-429	150	22	300	300	NUM
iogr-429	150	23	400	400	NUM
iogr-429	150	24	500	500	NUM
iogr-429	150	25	600	600	NUM
iogr-429	150	26	700	700	NUM
iogr-429	150	27	800	800	NUM
iogr-429	150	28	900	900	NUM
iogr-429	150	29	1000	1000	NUM
iogr-429	150	30	0	0	NUM
iogr-429	150	31	0.2	0.2	NUM
iogr-429	150	32	0.4	0.4	NUM
iogr-429	150	33	0.6	0.6	NUM
iogr-429	150	34	0.8	0.8	NUM
iogr-429	150	35	1	1	NUM
iogr-429	150	36	wct	wct	ADJ
iogr-429	150	37	time	time	NOUN
iogr-429	150	38	(	(	PUNCT
iogr-429	150	39	days	day	NOUN
iogr-429	150	40	)	)	PUNCT
iogr-429	150	41	reference	reference	NOUN
iogr-429	150	42	initial	initial	ADJ
iogr-429	150	43	updated	update	VERB
iogr-429	150	44	reference	reference	NOUN
iogr-429	150	45	permeability	permeability	NOUN
iogr-429	150	46	(	(	PUNCT
iogr-429	150	47	log10	log10	PROPN
iogr-429	150	48	scale	scale	NOUN
iogr-429	150	49	)	)	PUNCT
iogr-429	150	50	2	2	NUM
iogr-429	150	51	4	4	NUM
iogr-429	150	52	6	6	NUM
iogr-429	150	53	8	8	NUM
iogr-429	150	54	1	1	NUM
iogr-429	150	55	2	2	NUM
iogr-429	150	56	3	3	NUM
iogr-429	150	57	4	4	NUM
iogr-429	150	58	5	5	NUM
iogr-429	150	59	6	6	NUM
iogr-429	150	60	7	7	NUM
iogr-429	150	61	8	8	NUM
iogr-429	150	62	9	9	NUM
iogr-429	150	63	0.5	0.5	NUM
iogr-429	150	64	1	1	NUM
iogr-429	150	65	1.5	1.5	NUM
iogr-429	150	66	2	2	NUM
iogr-429	150	67	2.5	2.5	NUM
iogr-429	150	68	3	3	NUM
iogr-429	150	69	3.5	3.5	NUM
iogr-429	150	70	updated	update	VERB
iogr-429	150	71	permeability	permeability	NOUN
iogr-429	150	72	(	(	PUNCT
iogr-429	150	73	log10	log10	PROPN
iogr-429	150	74	scale	scale	NOUN
iogr-429	150	75	)	)	PUNCT
iogr-429	150	76	2	2	NUM
iogr-429	150	77	4	4	NUM
iogr-429	150	78	6	6	NUM
iogr-429	150	79	8	8	NUM
iogr-429	150	80	1	1	NUM
iogr-429	150	81	2	2	NUM
iogr-429	150	82	3	3	NUM
iogr-429	150	83	4	4	NUM
iogr-429	150	84	5	5	NUM
iogr-429	150	85	6	6	NUM
iogr-429	150	86	7	7	NUM
iogr-429	150	87	8	8	NUM
iogr-429	150	88	9	9	NUM
iogr-429	150	89	0.5	0.5	NUM
iogr-429	150	90	1	1	NUM
iogr-429	150	91	1.5	1.5	NUM
iogr-429	150	92	2	2	NUM
iogr-429	150	93	2.5	2.5	NUM
iogr-429	150	94	3	3	NUM
iogr-429	150	95	3.5	3.5	NUM
iogr-429	150	96	0	0	NUM
iogr-429	150	97	10	10	NUM
iogr-429	150	98	20	20	NUM
iogr-429	150	99	30	30	NUM
iogr-429	150	100	40	40	NUM
iogr-429	150	101	50	50	NUM
iogr-429	150	102	60	60	NUM
iogr-429	150	103	70	70	NUM
iogr-429	150	104	80	80	NUM
iogr-429	150	105	90	90	NUM
iogr-429	150	106	0	0	NUM
iogr-429	150	107	200	200	NUM
iogr-429	150	108	400	400	NUM
iogr-429	150	109	600	600	NUM
iogr-429	150	110	800	800	NUM
iogr-429	150	111	1000	1000	NUM
iogr-429	150	112	1200	1200	NUM
iogr-429	150	113	1400	1400	NUM
iogr-429	150	114	iterations	iteration	NOUN
iogr-429	150	115	o	o	X
iogr-429	150	116	b	b	X
iogr-429	150	117	je	je	X
iogr-429	150	118	c	c	X
iogr-429	150	119	ti	ti	X
iogr-429	150	120	v	v	NOUN
iogr-429	150	121	e	e	X
iogr-429	150	122	obj	obj	PROPN
iogr-429	150	123	decrease	decrease	VERB
iogr-429	150	124	ratio(obj	ratio(obj	PROPN
iogr-429	150	125	initial	initial	PROPN
iogr-429	150	126	/obj	/obj	PUNCT
iogr-429	150	127	final	final	ADJ
iogr-429	150	128	)	)	PUNCT
iogr-429	151	1	=	=	SYM
iogr-429	151	2	0.00099719	0.00099719	NUM
iogr-429	151	3	0	0	NUM
iogr-429	151	4	10	10	NUM
iogr-429	151	5	20	20	NUM
iogr-429	151	6	30	30	NUM
iogr-429	151	7	40	40	NUM
iogr-429	151	8	50	50	NUM
iogr-429	151	9	60	60	NUM
iogr-429	151	10	70	70	NUM
iogr-429	151	11	80	80	NUM
iogr-429	151	12	90	90	NUM
iogr-429	151	13	10	10	NUM
iogr-429	151	14	0	0	NUM
iogr-429	151	15	10	10	NUM
iogr-429	151	16	1	1	NUM
iogr-429	151	17	10	10	NUM
iogr-429	151	18	2	2	NUM
iogr-429	151	19	10	10	NUM
iogr-429	151	20	3	3	NUM
iogr-429	151	21	10	10	NUM
iogr-429	151	22	4	4	NUM
iogr-429	151	23	iterations	iteration	NOUN
iogr-429	151	24	o	o	X
iogr-429	151	25	b	b	X
iogr-429	151	26	je	je	X
iogr-429	151	27	c	c	X
iogr-429	151	28	ti	ti	X
iogr-429	151	29	v	v	NOUN
iogr-429	151	30	e	e	X
iogr-429	151	31	obj	obj	PROPN
iogr-429	151	32	decrease	decrease	VERB
iogr-429	151	33	ratio(obj	ratio(obj	PROPN
iogr-429	151	34	initial	initial	PROPN
iogr-429	151	35	/obj	/obj	PUNCT
iogr-429	151	36	final	final	ADJ
iogr-429	151	37	)	)	PUNCT
iogr-429	151	38	=	=	SYM
iogr-429	151	39	0.00099719	0.00099719	NUM
iogr-429	151	40	9	9	NUM
iogr-429	151	41	figure	figure	NOUN
iogr-429	151	42	9	9	NUM
iogr-429	151	43	—	—	PUNCT
iogr-429	151	44	sensitivity	sensitivity	NOUN
iogr-429	151	45	of	of	ADP
iogr-429	151	46	bhp	bhp	PROPN
iogr-429	151	47	.	.	PUNCT
iogr-429	152	1	we	we	PRON
iogr-429	152	2	can	can	AUX
iogr-429	152	3	see	see	VERB
iogr-429	152	4	from	from	ADP
iogr-429	152	5	the	the	DET
iogr-429	152	6	colorbar	colorbar	NOUN
iogr-429	152	7	that	that	SCONJ
iogr-429	152	8	most	most	ADJ
iogr-429	152	9	the	the	DET
iogr-429	152	10	grid	grid	NOUN
iogr-429	152	11	cells	cell	NOUN
iogr-429	152	12	have	have	VERB
iogr-429	152	13	negative	negative	ADJ
iogr-429	152	14	value	value	NOUN
iogr-429	152	15	,	,	PUNCT
iogr-429	152	16	which	which	PRON
iogr-429	152	17	means	mean	VERB
iogr-429	152	18	if	if	SCONJ
iogr-429	152	19	the	the	DET
iogr-429	152	20	permeability	permeability	NOUN
iogr-429	152	21	increases	increase	VERB
iogr-429	152	22	,	,	PUNCT
iogr-429	152	23	the	the	DET
iogr-429	152	24	bhp	bhp	PROPN
iogr-429	152	25	decreases	decrease	VERB
iogr-429	152	26	.	.	PUNCT
iogr-429	153	1	it	it	PRON
iogr-429	153	2	is	be	AUX
iogr-429	153	3	easy	easy	ADJ
iogr-429	153	4	to	to	PART
iogr-429	153	5	understand	understand	VERB
iogr-429	153	6	that	that	SCONJ
iogr-429	153	7	higher	high	ADJ
iogr-429	153	8	permeability	permeability	NOUN
iogr-429	153	9	is	be	AUX
iogr-429	153	10	more	more	ADV
iogr-429	153	11	conductive	conductive	ADJ
iogr-429	153	12	for	for	ADP
iogr-429	153	13	water	water	NOUN
iogr-429	153	14	than	than	ADP
iogr-429	153	15	lower	low	ADJ
iogr-429	153	16	permeability	permeability	NOUN
iogr-429	153	17	.	.	PUNCT
iogr-429	154	1	besides	besides	SCONJ
iogr-429	154	2	,	,	PUNCT
iogr-429	154	3	with	with	ADP
iogr-429	154	4	the	the	DET
iogr-429	154	5	time	time	NOUN
iogr-429	154	6	increasing	increase	VERB
iogr-429	154	7	,	,	PUNCT
iogr-429	154	8	the	the	DET
iogr-429	154	9	cells	cell	NOUN
iogr-429	154	10	around	around	ADP
iogr-429	154	11	the	the	DET
iogr-429	154	12	producer	producer	NOUN
iogr-429	154	13	are	be	AUX
iogr-429	154	14	becoming	become	VERB
iogr-429	154	15	more	more	ADV
iogr-429	154	16	sensitive	sensitive	ADJ
iogr-429	154	17	to	to	ADP
iogr-429	154	18	the	the	DET
iogr-429	154	19	bhp	bhp	PROPN
iogr-429	154	20	.	.	PROPN
iogr-429	154	21	figure	figure	PROPN
iogr-429	154	22	10	10	NUM
iogr-429	154	23	shows	show	VERB
iogr-429	154	24	the	the	DET
iogr-429	154	25	sensitivity	sensitivity	NOUN
iogr-429	154	26	of	of	ADP
iogr-429	154	27	wor	wor	PROPN
iogr-429	154	28	with	with	ADP
iogr-429	154	29	the	the	DET
iogr-429	154	30	permeability	permeability	NOUN
iogr-429	154	31	.	.	PUNCT
iogr-429	155	1	figure	figure	NOUN
iogr-429	155	2	10	10	NUM
iogr-429	155	3	—	—	PUNCT
iogr-429	155	4	sensitivity	sensitivity	NOUN
iogr-429	155	5	of	of	ADP
iogr-429	155	6	wor	wor	PROPN
iogr-429	155	7	.	.	PROPN
iogr-429	155	8	10	10	NUM
iogr-429	155	9	we	we	PRON
iogr-429	155	10	can	can	AUX
iogr-429	155	11	see	see	VERB
iogr-429	155	12	there	there	PRON
iogr-429	155	13	is	be	VERB
iogr-429	155	14	a	a	DET
iogr-429	155	15	channel	channel	NOUN
iogr-429	155	16	connecting	connect	VERB
iogr-429	155	17	injector	injector	NOUN
iogr-429	155	18	and	and	CCONJ
iogr-429	155	19	producer	producer	NOUN
iogr-429	155	20	.	.	PUNCT
iogr-429	156	1	the	the	DET
iogr-429	156	2	sensitivity	sensitivity	NOUN
iogr-429	156	3	of	of	ADP
iogr-429	156	4	these	these	DET
iogr-429	156	5	channel	channel	NOUN
iogr-429	156	6	cells	cell	NOUN
iogr-429	156	7	are	be	AUX
iogr-429	156	8	positive	positive	ADJ
iogr-429	156	9	,	,	PUNCT
iogr-429	156	10	which	which	PRON
iogr-429	156	11	means	mean	VERB
iogr-429	156	12	if	if	SCONJ
iogr-429	156	13	the	the	DET
iogr-429	156	14	permeability	permeability	NOUN
iogr-429	156	15	increases	increase	VERB
iogr-429	156	16	in	in	ADP
iogr-429	156	17	these	these	DET
iogr-429	156	18	areas	area	NOUN
iogr-429	156	19	,	,	PUNCT
iogr-429	156	20	the	the	DET
iogr-429	156	21	wor	wor	PROPN
iogr-429	156	22	increases	increase	VERB
iogr-429	156	23	.	.	PUNCT
iogr-429	157	1	more	more	ADJ
iogr-429	157	2	water	water	NOUN
iogr-429	157	3	tends	tend	VERB
iogr-429	157	4	to	to	PART
iogr-429	157	5	flow	flow	VERB
iogr-429	157	6	in	in	ADP
iogr-429	157	7	this	this	DET
iogr-429	157	8	channel	channel	NOUN
iogr-429	157	9	.	.	PUNCT
iogr-429	158	1	the	the	DET
iogr-429	158	2	sensitivity	sensitivity	NOUN
iogr-429	158	3	of	of	ADP
iogr-429	158	4	cells	cell	NOUN
iogr-429	158	5	in	in	ADP
iogr-429	158	6	the	the	DET
iogr-429	158	7	edge	edge	NOUN
iogr-429	158	8	part	part	NOUN
iogr-429	158	9	is	be	AUX
iogr-429	158	10	negative	negative	ADJ
iogr-429	158	11	,	,	PUNCT
iogr-429	158	12	meaning	mean	VERB
iogr-429	158	13	higher	high	ADJ
iogr-429	158	14	permeability	permeability	NOUN
iogr-429	158	15	in	in	ADP
iogr-429	158	16	these	these	DET
iogr-429	158	17	areas	area	NOUN
iogr-429	158	18	can	can	AUX
iogr-429	158	19	decrease	decrease	VERB
iogr-429	158	20	the	the	DET
iogr-429	158	21	wor	wor	PROPN
iogr-429	158	22	.	.	PROPN
iogr-429	159	1	more	more	ADJ
iogr-429	159	2	water	water	NOUN
iogr-429	159	3	flow	flow	NOUN
iogr-429	159	4	to	to	ADP
iogr-429	159	5	this	this	DET
iogr-429	159	6	area	area	NOUN
iogr-429	159	7	.	.	PUNCT
iogr-429	160	1	effect	effect	NOUN
iogr-429	160	2	of	of	ADP
iogr-429	160	3	α	α	PROPN
iogr-429	160	4	and	and	CCONJ
iogr-429	160	5	λ	λ	PROPN
iogr-429	160	6	in	in	ADP
iogr-429	160	7	the	the	DET
iogr-429	160	8	lm	lm	PROPN
iogr-429	160	9	minimization	minimization	NOUN
iogr-429	160	10	process	process	NOUN
iogr-429	160	11	.	.	PUNCT
iogr-429	161	1	α	α	PROPN
iogr-429	161	2	is	be	AUX
iogr-429	161	3	the	the	DET
iogr-429	161	4	searching	search	VERB
iogr-429	161	5	step	step	NOUN
iogr-429	161	6	in	in	ADP
iogr-429	161	7	the	the	DET
iogr-429	161	8	lm	lm	ADJ
iogr-429	161	9	algorithm	algorithm	NOUN
iogr-429	161	10	.	.	PUNCT
iogr-429	162	1	small	small	ADJ
iogr-429	162	2	α	α	PROPN
iogr-429	162	3	results	result	NOUN
iogr-429	162	4	in	in	ADP
iogr-429	162	5	more	more	ADJ
iogr-429	162	6	iterations	iteration	NOUN
iogr-429	162	7	while	while	SCONJ
iogr-429	162	8	large	large	ADJ
iogr-429	162	9	α	α	NOUN
iogr-429	162	10	may	may	AUX
iogr-429	162	11	lead	lead	VERB
iogr-429	162	12	to	to	ADP
iogr-429	162	13	convergence	convergence	NOUN
iogr-429	162	14	failure	failure	NOUN
iogr-429	162	15	.	.	PUNCT
iogr-429	163	1	large	large	ADJ
iogr-429	163	2	searching	searching	NOUN
iogr-429	163	3	step	step	NOUN
iogr-429	163	4	may	may	AUX
iogr-429	163	5	make	make	VERB
iogr-429	163	6	the	the	DET
iogr-429	163	7	derivative	derivative	ADJ
iogr-429	163	8	stepping	stepping	NOUN
iogr-429	163	9	cross	cross	NOUN
iogr-429	163	10	the	the	DET
iogr-429	163	11	minimization	minimization	NOUN
iogr-429	163	12	point	point	NOUN
iogr-429	163	13	.	.	PUNCT
iogr-429	164	1	figure	figure	NOUN
iogr-429	164	2	11	11	NUM
iogr-429	164	3	shows	show	VERB
iogr-429	164	4	the	the	DET
iogr-429	164	5	comparison	comparison	NOUN
iogr-429	164	6	of	of	ADP
iogr-429	164	7	history	history	NOUN
iogr-429	164	8	matching	matching	NOUN
iogr-429	164	9	process	process	NOUN
iogr-429	164	10	between	between	ADP
iogr-429	164	11	α=0.01	α=0.01	NOUN
iogr-429	164	12	and	and	CCONJ
iogr-429	164	13	3	3	NUM
iogr-429	164	14	.	.	X
iogr-429	164	15	figure	figure	NOUN
iogr-429	164	16	11	11	NUM
iogr-429	164	17	—	—	PUNCT
iogr-429	164	18	comparison	comparison	NOUN
iogr-429	164	19	of	of	ADP
iogr-429	164	20	history	history	NOUN
iogr-429	164	21	matching	matching	NOUN
iogr-429	164	22	process	process	NOUN
iogr-429	164	23	between	between	ADP
iogr-429	164	24	α=0.01	α=0.01	NOUN
iogr-429	164	25	and	and	CCONJ
iogr-429	164	26	3	3	NUM
iogr-429	164	27	.	.	X
iogr-429	165	1	the	the	DET
iogr-429	165	2	left	left	ADJ
iogr-429	165	3	part	part	NOUN
iogr-429	165	4	of	of	ADP
iogr-429	165	5	figure	figure	NOUN
iogr-429	165	6	11	11	NUM
iogr-429	165	7	shows	show	VERB
iogr-429	165	8	the	the	DET
iogr-429	165	9	history	history	NOUN
iogr-429	165	10	matching	matching	NOUN
iogr-429	165	11	process	process	NOUN
iogr-429	165	12	with	with	ADP
iogr-429	165	13	α	α	PROPN
iogr-429	165	14	equals	equal	VERB
iogr-429	165	15	0.01	0.01	NUM
iogr-429	165	16	.	.	PUNCT
iogr-429	166	1	we	we	PRON
iogr-429	166	2	can	can	AUX
iogr-429	166	3	see	see	VERB
iogr-429	166	4	the	the	DET
iogr-429	166	5	converging	converge	VERB
iogr-429	166	6	process	process	NOUN
iogr-429	166	7	is	be	AUX
iogr-429	166	8	slow	slow	ADJ
iogr-429	166	9	.	.	PUNCT
iogr-429	167	1	the	the	DET
iogr-429	167	2	blue	blue	ADJ
iogr-429	167	3	line	line	NOUN
iogr-429	167	4	is	be	AUX
iogr-429	167	5	the	the	DET
iogr-429	167	6	final	final	ADJ
iogr-429	167	7	curve	curve	NOUN
iogr-429	167	8	.	.	PUNCT
iogr-429	168	1	it	it	PRON
iogr-429	168	2	is	be	AUX
iogr-429	168	3	limited	limit	VERB
iogr-429	168	4	by	by	ADP
iogr-429	168	5	the	the	DET
iogr-429	168	6	iteration	iteration	NOUN
iogr-429	168	7	numbers	number	NOUN
iogr-429	168	8	.	.	PUNCT
iogr-429	169	1	if	if	SCONJ
iogr-429	169	2	given	give	VERB
iogr-429	169	3	sufficient	sufficient	ADJ
iogr-429	169	4	iterations	iteration	NOUN
iogr-429	169	5	,	,	PUNCT
iogr-429	169	6	it	it	PRON
iogr-429	169	7	can	can	AUX
iogr-429	169	8	converge	converge	VERB
iogr-429	169	9	.	.	PUNCT
iogr-429	170	1	the	the	DET
iogr-429	170	2	right	right	ADJ
iogr-429	170	3	part	part	NOUN
iogr-429	170	4	shows	show	VERB
iogr-429	170	5	history	history	NOUN
iogr-429	170	6	matching	matching	NOUN
iogr-429	170	7	process	process	NOUN
iogr-429	170	8	with	with	ADP
iogr-429	170	9	α	α	PROPN
iogr-429	170	10	equals	equal	VERB
iogr-429	170	11	3	3	NUM
iogr-429	170	12	.	.	X
iogr-429	171	1	we	we	PRON
iogr-429	171	2	can	can	AUX
iogr-429	171	3	see	see	VERB
iogr-429	171	4	the	the	DET
iogr-429	171	5	matching	matching	NOUN
iogr-429	171	6	curve	curve	NOUN
iogr-429	171	7	jumps	jump	VERB
iogr-429	171	8	around	around	ADV
iogr-429	171	9	,	,	PUNCT
iogr-429	171	10	and	and	CCONJ
iogr-429	171	11	the	the	DET
iogr-429	171	12	convergence	convergence	NOUN
iogr-429	171	13	is	be	AUX
iogr-429	171	14	failed	fail	VERB
iogr-429	171	15	.	.	PUNCT
iogr-429	172	1	figure	figure	VERB
iogr-429	172	2	12	12	NUM
iogr-429	172	3	below	below	ADV
iogr-429	172	4	shows	show	VERB
iogr-429	172	5	the	the	DET
iogr-429	172	6	objective	objective	ADJ
iogr-429	172	7	function	function	NOUN
iogr-429	172	8	behavior	behavior	NOUN
iogr-429	172	9	with	with	ADP
iogr-429	172	10	iteration	iteration	NOUN
iogr-429	172	11	numbers	number	NOUN
iogr-429	172	12	for	for	ADP
iogr-429	172	13	nine	nine	NUM
iogr-429	172	14	different	different	ADJ
iogr-429	172	15	α	α	NOUN
iogr-429	172	16	.	.	PUNCT
iogr-429	173	1	we	we	PRON
iogr-429	173	2	can	can	AUX
iogr-429	173	3	see	see	VERB
iogr-429	173	4	if	if	SCONJ
iogr-429	173	5	α	α	PRON
iogr-429	173	6	equals	equal	VERB
iogr-429	173	7	0.2	0.2	NUM
iogr-429	173	8	,	,	PUNCT
iogr-429	173	9	the	the	DET
iogr-429	173	10	objective	objective	ADJ
iogr-429	173	11	function	function	NOUN
iogr-429	173	12	converges	converge	VERB
iogr-429	173	13	slowly	slowly	ADV
iogr-429	173	14	and	and	CCONJ
iogr-429	173	15	smoothly	smoothly	ADV
iogr-429	173	16	,	,	PUNCT
iogr-429	173	17	although	although	SCONJ
iogr-429	173	18	68	68	NUM
iogr-429	173	19	iterations	iteration	NOUN
iogr-429	173	20	are	be	AUX
iogr-429	173	21	needed	need	VERB
iogr-429	173	22	.	.	PUNCT
iogr-429	174	1	but	but	CCONJ
iogr-429	174	2	if	if	SCONJ
iogr-429	174	3	the	the	DET
iogr-429	174	4	α	α	NOUN
iogr-429	174	5	equals	equal	VERB
iogr-429	174	6	3	3	NUM
iogr-429	174	7	,	,	PUNCT
iogr-429	174	8	the	the	DET
iogr-429	174	9	objective	objective	ADJ
iogr-429	174	10	function	function	NOUN
iogr-429	174	11	fluctuates	fluctuate	VERB
iogr-429	174	12	without	without	ADP
iogr-429	174	13	tendency	tendency	NOUN
iogr-429	174	14	to	to	PART
iogr-429	174	15	converge	converge	VERB
iogr-429	174	16	.	.	PUNCT
iogr-429	175	1	these	these	PRON
iogr-429	175	2	are	be	AUX
iogr-429	175	3	two	two	NUM
iogr-429	175	4	extreme	extreme	ADJ
iogr-429	175	5	cases	case	NOUN
iogr-429	175	6	.	.	PUNCT
iogr-429	176	1	additionally	additionally	ADV
iogr-429	176	2	,	,	PUNCT
iogr-429	176	3	if	if	SCONJ
iogr-429	176	4	α	α	PRON
iogr-429	176	5	equals	equal	VERB
iogr-429	176	6	1.7	1.7	NUM
iogr-429	176	7	,	,	PUNCT
iogr-429	176	8	it	it	PRON
iogr-429	176	9	converges	converge	VERB
iogr-429	176	10	very	very	ADV
iogr-429	176	11	fast	fast	ADV
iogr-429	176	12	with	with	ADP
iogr-429	176	13	only	only	ADV
iogr-429	176	14	8	8	NUM
iogr-429	176	15	iterations	iteration	NOUN
iogr-429	176	16	.	.	PUNCT
iogr-429	177	1	figure	figure	NOUN
iogr-429	177	2	12	12	NUM
iogr-429	177	3	—	—	PUNCT
iogr-429	177	4	objective	objective	ADJ
iogr-429	177	5	function	function	NOUN
iogr-429	177	6	behavior	behavior	NOUN
iogr-429	177	7	with	with	ADP
iogr-429	177	8	iteration	iteration	NOUN
iogr-429	177	9	numbers	number	NOUN
iogr-429	177	10	for	for	ADP
iogr-429	177	11	different	different	ADJ
iogr-429	177	12	α	α	NOUN
iogr-429	177	13	.	.	PROPN
iogr-429	177	14	11	11	NUM
iogr-429	177	15	λ	λ	NOUN
iogr-429	177	16	in	in	ADP
iogr-429	177	17	the	the	DET
iogr-429	177	18	lm	lm	ADJ
iogr-429	177	19	algorithm	algorithm	NOUN
iogr-429	177	20	is	be	AUX
iogr-429	177	21	the	the	DET
iogr-429	177	22	perturbation	perturbation	NOUN
iogr-429	177	23	added	add	VERB
iogr-429	177	24	to	to	ADP
iogr-429	177	25	the	the	DET
iogr-429	177	26	original	original	ADJ
iogr-429	177	27	function	function	NOUN
iogr-429	177	28	,	,	PUNCT
iogr-429	177	29	to	to	PART
iogr-429	177	30	avoid	avoid	VERB
iogr-429	177	31	the	the	DET
iogr-429	177	32	singular	singular	ADJ
iogr-429	177	33	matrix	matrix	NOUN
iogr-429	177	34	.	.	PUNCT
iogr-429	178	1	if	if	SCONJ
iogr-429	178	2	λ	λ	PROPN
iogr-429	178	3	is	be	AUX
iogr-429	178	4	too	too	ADV
iogr-429	178	5	small	small	ADJ
iogr-429	178	6	,	,	PUNCT
iogr-429	178	7	the	the	DET
iogr-429	178	8	original	original	ADJ
iogr-429	178	9	function	function	NOUN
iogr-429	178	10	may	may	AUX
iogr-429	178	11	still	still	ADV
iogr-429	178	12	be	be	AUX
iogr-429	178	13	singular	singular	ADJ
iogr-429	178	14	,	,	PUNCT
iogr-429	178	15	while	while	SCONJ
iogr-429	178	16	if	if	SCONJ
iogr-429	178	17	λ	λ	NOUN
iogr-429	178	18	is	be	AUX
iogr-429	178	19	big	big	ADJ
iogr-429	178	20	,	,	PUNCT
iogr-429	178	21	more	more	ADJ
iogr-429	178	22	iterations	iteration	NOUN
iogr-429	178	23	will	will	AUX
iogr-429	178	24	be	be	AUX
iogr-429	178	25	needed	need	VERB
iogr-429	178	26	to	to	PART
iogr-429	178	27	converge	converge	VERB
iogr-429	178	28	the	the	DET
iogr-429	178	29	objective	objective	ADJ
iogr-429	178	30	function	function	NOUN
iogr-429	178	31	.	.	PUNCT
iogr-429	179	1	figure	figure	NOUN
iogr-429	179	2	13	13	NUM
iogr-429	179	3	below	below	ADV
iogr-429	179	4	shows	show	VERB
iogr-429	179	5	the	the	DET
iogr-429	179	6	trend	trend	NOUN
iogr-429	179	7	.	.	PUNCT
iogr-429	180	1	figure	figure	NOUN
iogr-429	180	2	13	13	NUM
iogr-429	180	3	—	—	PUNCT
iogr-429	180	4	objective	objective	ADJ
iogr-429	180	5	function	function	NOUN
iogr-429	180	6	behavior	behavior	NOUN
iogr-429	180	7	with	with	ADP
iogr-429	180	8	iterations	iteration	NOUN
iogr-429	180	9	for	for	ADP
iogr-429	180	10	different	different	ADJ
iogr-429	180	11	λ	λ	NOUN
iogr-429	180	12	.	.	PUNCT
iogr-429	181	1	we	we	PRON
iogr-429	181	2	can	can	AUX
iogr-429	181	3	see	see	VERB
iogr-429	181	4	if	if	SCONJ
iogr-429	181	5	the	the	DET
iogr-429	181	6	λ	λ	PROPN
iogr-429	181	7	equals	equal	VERB
iogr-429	181	8	0.001	0.001	NUM
iogr-429	181	9	,	,	PUNCT
iogr-429	181	10	the	the	DET
iogr-429	181	11	objective	objective	ADJ
iogr-429	181	12	function	function	NOUN
iogr-429	181	13	fluctuates	fluctuate	VERB
iogr-429	181	14	a	a	DET
iogr-429	181	15	lot	lot	NOUN
iogr-429	181	16	,	,	PUNCT
iogr-429	181	17	and	and	CCONJ
iogr-429	181	18	the	the	DET
iogr-429	181	19	code	code	NOUN
iogr-429	181	20	gives	give	VERB
iogr-429	181	21	the	the	DET
iogr-429	181	22	warning	warning	NOUN
iogr-429	181	23	that	that	SCONJ
iogr-429	181	24	the	the	DET
iogr-429	181	25	objective	objective	ADJ
iogr-429	181	26	matrix	matrix	NOUN
iogr-429	181	27	is	be	AUX
iogr-429	181	28	badly	badly	ADV
iogr-429	181	29	conditioned	condition	VERB
iogr-429	181	30	.	.	PUNCT
iogr-429	182	1	the	the	DET
iogr-429	182	2	result	result	NOUN
iogr-429	182	3	is	be	AUX
iogr-429	182	4	not	not	PART
iogr-429	182	5	correct	correct	ADJ
iogr-429	182	6	.	.	PUNCT
iogr-429	183	1	for	for	ADP
iogr-429	183	2	λ	λ	PROPN
iogr-429	183	3	of	of	ADP
iogr-429	183	4	10	10	NUM
iogr-429	183	5	,	,	PUNCT
iogr-429	183	6	it	it	PRON
iogr-429	183	7	converges	converge	VERB
iogr-429	183	8	slowly	slowly	ADV
iogr-429	183	9	and	and	CCONJ
iogr-429	183	10	smooth	smooth	ADJ
iogr-429	183	11	,	,	PUNCT
iogr-429	183	12	but	but	CCONJ
iogr-429	183	13	72	72	NUM
iogr-429	183	14	iterations	iteration	NOUN
iogr-429	183	15	are	be	AUX
iogr-429	183	16	needed	need	VERB
iogr-429	183	17	.	.	PUNCT
iogr-429	184	1	for	for	ADP
iogr-429	184	2	λ	λ	PROPN
iogr-429	184	3	of	of	ADP
iogr-429	184	4	20	20	NUM
iogr-429	184	5	,	,	PUNCT
iogr-429	184	6	it	it	PRON
iogr-429	184	7	does	do	AUX
iogr-429	184	8	not	not	PART
iogr-429	184	9	converge	converge	VERB
iogr-429	184	10	with	with	ADP
iogr-429	184	11	the	the	DET
iogr-429	184	12	limited	limited	ADJ
iogr-429	184	13	iterations	iteration	NOUN
iogr-429	184	14	,	,	PUNCT
iogr-429	184	15	but	but	CCONJ
iogr-429	184	16	it	it	PRON
iogr-429	184	17	will	will	AUX
iogr-429	184	18	converge	converge	VERB
iogr-429	184	19	given	give	VERB
iogr-429	184	20	sufficient	sufficient	ADJ
iogr-429	184	21	iterations	iteration	NOUN
iogr-429	184	22	.	.	PUNCT
iogr-429	185	1	additionally	additionally	ADV
iogr-429	185	2	,	,	PUNCT
iogr-429	185	3	λ	λ	PROPN
iogr-429	185	4	of	of	ADP
iogr-429	185	5	0.5	0.5	NUM
iogr-429	185	6	gives	give	VERB
iogr-429	185	7	very	very	ADV
iogr-429	185	8	fast	fast	ADJ
iogr-429	185	9	convergence	convergence	NOUN
iogr-429	185	10	.	.	PUNCT
iogr-429	186	1	we	we	PRON
iogr-429	186	2	can	can	AUX
iogr-429	186	3	see	see	VERB
iogr-429	186	4	both	both	DET
iogr-429	186	5	α	α	NOUN
iogr-429	186	6	and	and	CCONJ
iogr-429	186	7	λ	λ	PROPN
iogr-429	186	8	affect	affect	VERB
iogr-429	186	9	the	the	DET
iogr-429	186	10	history	history	NOUN
iogr-429	186	11	matching	matching	NOUN
iogr-429	186	12	process	process	NOUN
iogr-429	186	13	,	,	PUNCT
iogr-429	186	14	and	and	CCONJ
iogr-429	186	15	good	good	ADJ
iogr-429	186	16	combination	combination	NOUN
iogr-429	186	17	of	of	ADP
iogr-429	186	18	them	they	PRON
iogr-429	186	19	is	be	AUX
iogr-429	186	20	desired	desire	VERB
iogr-429	186	21	.	.	PUNCT
iogr-429	187	1	conclusions	conclusion	NOUN
iogr-429	187	2	1	1	X
iogr-429	187	3	.	.	PUNCT
iogr-429	188	1	we	we	PRON
iogr-429	188	2	successfully	successfully	ADV
iogr-429	188	3	incorporate	incorporate	VERB
iogr-429	188	4	the	the	DET
iogr-429	188	5	sensitivity	sensitivity	NOUN
iogr-429	188	6	calculation	calculation	NOUN
iogr-429	188	7	with	with	ADP
iogr-429	188	8	adjoint	adjoint	NOUN
iogr-429	188	9	method	method	NOUN
iogr-429	188	10	into	into	ADP
iogr-429	188	11	the	the	DET
iogr-429	188	12	software	software	NOUN
iogr-429	188	13	,	,	PUNCT
iogr-429	188	14	and	and	CCONJ
iogr-429	188	15	the	the	DET
iogr-429	188	16	sensitivity	sensitivity	NOUN
iogr-429	188	17	results	result	NOUN
iogr-429	188	18	are	be	AUX
iogr-429	188	19	quite	quite	ADV
iogr-429	188	20	close	close	ADJ
iogr-429	188	21	to	to	ADP
iogr-429	188	22	the	the	DET
iogr-429	188	23	results	result	NOUN
iogr-429	188	24	calculated	calculate	VERB
iogr-429	188	25	by	by	ADP
iogr-429	188	26	perturbation	perturbation	NOUN
iogr-429	188	27	.	.	PUNCT
iogr-429	189	1	2	2	X
iogr-429	189	2	.	.	X
iogr-429	189	3	the	the	DET
iogr-429	189	4	adjoint	adjoint	NOUN
iogr-429	189	5	method	method	NOUN
iogr-429	189	6	only	only	ADV
iogr-429	189	7	need	need	VERB
iogr-429	189	8	one	one	NUM
iogr-429	189	9	-	-	PUNCT
iogr-429	189	10	time	time	NOUN
iogr-429	189	11	simulation	simulation	NOUN
iogr-429	189	12	to	to	PART
iogr-429	189	13	give	give	VERB
iogr-429	189	14	the	the	DET
iogr-429	189	15	sensitivity	sensitivity	NOUN
iogr-429	189	16	calculation	calculation	NOUN
iogr-429	189	17	,	,	PUNCT
iogr-429	189	18	instead	instead	ADV
iogr-429	189	19	of	of	ADP
iogr-429	189	20	m	m	PROPN
iogr-429	189	21	times	time	NOUN
iogr-429	189	22	(	(	PUNCT
iogr-429	189	23	the	the	DET
iogr-429	189	24	number	number	NOUN
iogr-429	189	25	of	of	ADP
iogr-429	189	26	parameters	parameter	NOUN
iogr-429	189	27	)	)	PUNCT
iogr-429	189	28	,	,	PUNCT
iogr-429	189	29	which	which	PRON
iogr-429	189	30	show	show	VERB
iogr-429	189	31	great	great	ADJ
iogr-429	189	32	advantages	advantage	NOUN
iogr-429	189	33	in	in	ADP
iogr-429	189	34	computational	computational	ADJ
iogr-429	189	35	efficiency	efficiency	NOUN
iogr-429	189	36	.	.	PUNCT
iogr-429	190	1	3	3	X
iogr-429	190	2	.	.	X
iogr-429	190	3	we	we	PRON
iogr-429	190	4	can	can	AUX
iogr-429	190	5	carry	carry	VERB
iogr-429	190	6	out	out	ADP
iogr-429	190	7	history	history	NOUN
iogr-429	190	8	matching	matching	NOUN
iogr-429	190	9	using	use	VERB
iogr-429	190	10	levenberg	levenberg	PROPN
iogr-429	190	11	-	-	PUNCT
iogr-429	190	12	marquardt	marquardt	PROPN
iogr-429	190	13	method	method	NOUN
iogr-429	190	14	to	to	PART
iogr-429	190	15	match	match	VERB
iogr-429	190	16	both	both	DET
iogr-429	190	17	wct	wct	PROPN
iogr-429	190	18	and	and	CCONJ
iogr-429	190	19	bhp	bhp	PROPN
iogr-429	190	20	.	.	PUNCT
iogr-429	191	1	we	we	PRON
iogr-429	191	2	are	be	AUX
iogr-429	191	3	also	also	ADV
iogr-429	191	4	able	able	ADJ
iogr-429	191	5	to	to	PART
iogr-429	191	6	keep	keep	VERB
iogr-429	191	7	the	the	DET
iogr-429	191	8	high	high	ADJ
iogr-429	191	9	permeability	permeability	NOUN
iogr-429	191	10	trend	trend	NOUN
iogr-429	191	11	of	of	ADP
iogr-429	191	12	the	the	DET
iogr-429	191	13	permeability	permeability	NOUN
iogr-429	191	14	field	field	NOUN
iogr-429	191	15	.	.	PUNCT
iogr-429	192	1	4	4	X
iogr-429	192	2	.	.	X
iogr-429	192	3	more	more	ADV
iogr-429	192	4	suitable	suitable	ADJ
iogr-429	192	5	search	search	NOUN
iogr-429	192	6	step	step	NOUN
iogr-429	192	7	lengths	length	NOUN
iogr-429	192	8	and	and	CCONJ
iogr-429	192	9	perturbation	perturbation	NOUN
iogr-429	192	10	in	in	ADP
iogr-429	192	11	levenberg	levenberg	PROPN
iogr-429	192	12	-	-	PUNCT
iogr-429	192	13	marquardt	marquardt	PROPN
iogr-429	192	14	method	method	NOUN
iogr-429	192	15	will	will	AUX
iogr-429	192	16	give	give	VERB
iogr-429	192	17	faster	fast	ADJ
iogr-429	192	18	converge	converge	NOUN
iogr-429	192	19	.	.	PUNCT
iogr-429	193	1	integrated	integrate	VERB
iogr-429	193	2	with	with	ADP
iogr-429	193	3	adjoint	adjoint	NOUN
iogr-429	193	4	method	method	NOUN
iogr-429	193	5	,	,	PUNCT
iogr-429	193	6	it	it	PRON
iogr-429	193	7	is	be	AUX
iogr-429	193	8	a	a	DET
iogr-429	193	9	fast	fast	ADJ
iogr-429	193	10	and	and	CCONJ
iogr-429	193	11	accurate	accurate	ADJ
iogr-429	193	12	history	history	NOUN
iogr-429	193	13	matching	matching	NOUN
iogr-429	193	14	workflow	workflow	NOUN
iogr-429	193	15	.	.	PUNCT
iogr-429	194	1	conflicts	conflict	NOUN
iogr-429	194	2	of	of	ADP
iogr-429	194	3	interest	interest	NOUN
iogr-429	194	4	the	the	DET
iogr-429	194	5	author(s	author(s	NOUN
iogr-429	194	6	)	)	PUNCT
iogr-429	194	7	declare	declare	VERB
iogr-429	194	8	that	that	SCONJ
iogr-429	194	9	they	they	PRON
iogr-429	194	10	have	have	VERB
iogr-429	194	11	no	no	DET
iogr-429	194	12	conflicting	conflict	VERB
iogr-429	194	13	interests	interest	NOUN
iogr-429	194	14	.	.	PUNCT
iogr-429	195	1	references	reference	NOUN
iogr-429	195	2	wu	wu	PROPN
iogr-429	195	3	,	,	PUNCT
iogr-429	195	4	z.	z.	PROPN
iogr-429	195	5	,	,	PUNCT
iogr-429	195	6	reynolds	reynolds	PROPN
iogr-429	195	7	,	,	PUNCT
iogr-429	195	8	a.c	a.c	PROPN
iogr-429	195	9	.	.	PROPN
iogr-429	195	10	,	,	PUNCT
iogr-429	195	11	and	and	CCONJ
iogr-429	195	12	oliver	oliver	PROPN
iogr-429	195	13	,	,	PUNCT
iogr-429	195	14	d.s	d.s	PROPN
iogr-429	195	15	.	.	PROPN
iogr-429	195	16	1999	1999	NUM
iogr-429	195	17	.	.	PUNCT
iogr-429	196	1	conditioning	condition	VERB
iogr-429	196	2	geostatistical	geostatistical	ADJ
iogr-429	196	3	models	model	NOUN
iogr-429	196	4	to	to	ADP
iogr-429	196	5	two	two	NUM
iogr-429	196	6	-	-	PUNCT
iogr-429	196	7	phase	phase	NOUN
iogr-429	196	8	production	production	NOUN
iogr-429	196	9	data	datum	NOUN
iogr-429	196	10	.	.	PUNCT
iogr-429	197	1	paper	paper	NOUN
iogr-429	197	2	presented	present	VERB
iogr-429	197	3	at	at	ADP
iogr-429	197	4	spe	spe	PROPN
iogr-429	197	5	annual	annual	ADJ
iogr-429	197	6	technical	technical	ADJ
iogr-429	197	7	conference	conference	NOUN
iogr-429	197	8	and	and	CCONJ
iogr-429	197	9	exhibition	exhibition	NOUN
iogr-429	197	10	,	,	PUNCT
iogr-429	197	11	new	new	PROPN
iogr-429	197	12	orleans	orleans	PROPN
iogr-429	197	13	,	,	PUNCT
iogr-429	197	14	louisiana	louisiana	PROPN
iogr-429	197	15	,	,	PUNCT
iogr-429	197	16	september	september	PROPN
iogr-429	197	17	27	27	NUM
iogr-429	197	18	-	-	SYM
iogr-429	197	19	30	30	NUM
iogr-429	197	20	.	.	PUNCT
iogr-429	198	1	spe-56855	spe-56855	PROPN
iogr-429	198	2	-	-	PUNCT
iogr-429	198	3	ms	ms	PROPN
iogr-429	198	4	.	.	PROPN
iogr-429	198	5	li	li	PROPN
iogr-429	198	6	,	,	PUNCT
iogr-429	198	7	r.	r.	PROPN
iogr-429	198	8	,	,	PUNCT
iogr-429	198	9	reynolds	reynolds	PROPN
iogr-429	198	10	,	,	PUNCT
iogr-429	198	11	a.c	a.c	PROPN
iogr-429	198	12	.	.	PROPN
iogr-429	198	13	,	,	PUNCT
iogr-429	198	14	and	and	CCONJ
iogr-429	198	15	oliver	oliver	PROPN
iogr-429	198	16	,	,	PUNCT
iogr-429	198	17	d.s	d.s	PROPN
iogr-429	198	18	.	.	PROPN
iogr-429	198	19	2003	2003	NUM
iogr-429	198	20	.	.	PUNCT
iogr-429	199	1	history	history	NOUN
iogr-429	199	2	matching	matching	NOUN
iogr-429	199	3	of	of	ADP
iogr-429	199	4	three	three	NUM
iogr-429	199	5	-	-	PUNCT
iogr-429	199	6	phase	phase	NOUN
iogr-429	199	7	flow	flow	NOUN
iogr-429	199	8	production	production	NOUN
iogr-429	199	9	data	datum	NOUN
iogr-429	199	10	.	.	PUNCT
iogr-429	200	1	spe	spe	PROPN
iogr-429	200	2	journal	journal	PROPN
iogr-429	200	3	8(4):25	8(4):25	PROPN
iogr-429	200	4	-	-	SYM
iogr-429	200	5	31	31	NUM
iogr-429	200	6	.	.	PUNCT
iogr-429	201	1	spe-87336	spe-87336	NOUN
iogr-429	201	2	-	-	PUNCT
iogr-429	201	3	pa	pa	PROPN
iogr-429	201	4	.	.	PROPN
iogr-429	201	5	oliver	oliver	PROPN
iogr-429	201	6	,	,	PUNCT
iogr-429	201	7	d.s	d.s	PROPN
iogr-429	201	8	.	.	PROPN
iogr-429	201	9	,	,	PUNCT
iogr-429	201	10	reynolds	reynolds	PROPN
iogr-429	201	11	,	,	PUNCT
iogr-429	201	12	a.c	a.c	PROPN
iogr-429	201	13	.	.	PROPN
iogr-429	201	14	,	,	PUNCT
iogr-429	201	15	and	and	CCONJ
iogr-429	201	16	liu	liu	PROPN
iogr-429	201	17	,	,	PUNCT
iogr-429	201	18	n.	n.	PROPN
iogr-429	201	19	2008	2008	NUM
iogr-429	201	20	.	.	PUNCT
iogr-429	202	1	inverse	inverse	NOUN
iogr-429	202	2	theory	theory	NOUN
iogr-429	202	3	for	for	ADP
iogr-429	202	4	petroleum	petroleum	NOUN
iogr-429	202	5	reservoir	reservoir	NOUN
iogr-429	202	6	characterization	characterization	NOUN
iogr-429	202	7	and	and	CCONJ
iogr-429	202	8	history	history	NOUN
iogr-429	202	9	matching	matching	NOUN
iogr-429	202	10	:	:	PUNCT
iogr-429	202	11	front	front	ADJ
iogr-429	202	12	matter	matter	NOUN
iogr-429	202	13	.	.	PUNCT
iogr-429	203	1	journal	journal	PROPN
iogr-429	203	2	of	of	ADP
iogr-429	203	3	affective	affective	ADJ
iogr-429	203	4	disorders	disorder	NOUN
iogr-429	203	5	2008(175):488	2008(175):488	NUM
iogr-429	203	6	-	-	SYM
iogr-429	203	7	493	493	NUM
iogr-429	203	8	.	.	PUNCT
iogr-429	204	1	jacquard	jacquard	NOUN
iogr-429	204	2	,	,	PUNCT
iogr-429	204	3	p.	p.	NOUN
iogr-429	204	4	1965	1965	NUM
iogr-429	204	5	.	.	PUNCT
iogr-429	205	1	permeability	permeability	NOUN
iogr-429	205	2	distribution	distribution	NOUN
iogr-429	205	3	from	from	ADP
iogr-429	205	4	field	field	NOUN
iogr-429	205	5	pressure	pressure	NOUN
iogr-429	205	6	data	datum	NOUN
iogr-429	205	7	.	.	PUNCT
iogr-429	206	1	spe	spe	PROPN
iogr-429	206	2	journal	journal	PROPN
iogr-429	206	3	5(4	5(4	NUM
iogr-429	206	4	):	):	PUNCT
iogr-429	206	5	281	281	NUM
iogr-429	206	6	-	-	SYM
iogr-429	206	7	294	294	NUM
iogr-429	206	8	.	.	PUNCT
iogr-429	207	1	spe-1307	spe-1307	NOUN
iogr-429	207	2	-	-	PUNCT
iogr-429	207	3	pa	pa	PROPN
iogr-429	207	4	.	.	PROPN
iogr-429	207	5	12	12	NUM
iogr-429	207	6	jahns	jahns	PROPN
iogr-429	207	7	,	,	PUNCT
iogr-429	207	8	o.h	o.h	PROPN
iogr-429	207	9	.	.	PROPN
iogr-429	207	10	1966	1966	NUM
iogr-429	207	11	.	.	PUNCT
iogr-429	208	1	a	a	DET
iogr-429	208	2	rapid	rapid	ADJ
iogr-429	208	3	method	method	NOUN
iogr-429	208	4	for	for	ADP
iogr-429	208	5	obtaining	obtain	VERB
iogr-429	208	6	a	a	DET
iogr-429	208	7	two	two	NUM
iogr-429	208	8	dimensional	dimensional	ADJ
iogr-429	208	9	reservoir	reservoir	NOUN
iogr-429	208	10	description	description	NOUN
iogr-429	208	11	from	from	ADP
iogr-429	208	12	well	well	ADJ
iogr-429	208	13	pressure	pressure	NOUN
iogr-429	208	14	response	response	NOUN
iogr-429	208	15	data	datum	NOUN
iogr-429	208	16	.	.	PUNCT
iogr-429	209	1	spe	spe	PROPN
iogr-429	209	2	journal	journal	PROPN
iogr-429	209	3	6(4	6(4	PROPN
iogr-429	209	4	):	):	PUNCT
iogr-429	209	5	315	315	NUM
iogr-429	209	6	-	-	PUNCT
iogr-429	209	7	327.spe-1473	327.spe-1473	NUM
iogr-429	209	8	-	-	PUNCT
iogr-429	209	9	pa	pa	NOUN
iogr-429	209	10	chavent	chavent	NOUN
iogr-429	209	11	,	,	PUNCT
iogr-429	209	12	g.	g.	PROPN
iogr-429	209	13	and	and	CCONJ
iogr-429	209	14	bissell	bissell	PROPN
iogr-429	209	15	,	,	PUNCT
iogr-429	209	16	r.	r.	PROPN
iogr-429	209	17	1998	1998	NUM
iogr-429	209	18	.	.	PUNCT
iogr-429	210	1	indicator	indicator	NOUN
iogr-429	210	2	for	for	ADP
iogr-429	210	3	the	the	DET
iogr-429	210	4	refinement	refinement	NOUN
iogr-429	210	5	of	of	ADP
iogr-429	210	6	parameterization	parameterization	NOUN
iogr-429	210	7	in	in	ADP
iogr-429	210	8	inverse	inverse	NOUN
iogr-429	210	9	problems	problem	NOUN
iogr-429	210	10	in	in	ADP
iogr-429	210	11	engineering	engineering	NOUN
iogr-429	210	12	mechanics	mechanic	NOUN
iogr-429	210	13	.	.	PUNCT
iogr-429	211	1	ed	ed	NOUN
iogr-429	211	2	.	.	PUNCT
iogr-429	211	3	m.	m.	PROPN
iogr-429	211	4	tanaka	tanaka	PROPN
iogr-429	211	5	and	and	CCONJ
iogr-429	211	6	g.s	g.s	PROPN
iogr-429	211	7	.	.	PROPN
iogr-429	211	8	dulikravich	dulikravich	PROPN
iogr-429	211	9	,	,	PUNCT
iogr-429	211	10	309	309	NUM
iogr-429	211	11	-	-	SYM
iogr-429	211	12	314	314	NUM
iogr-429	211	13	.	.	PUNCT
iogr-429	212	1	oxford	oxford	PROPN
iogr-429	212	2	,	,	PUNCT
iogr-429	212	3	uk	uk	PROPN
iogr-429	212	4	:	:	PUNCT
iogr-429	212	5	elsevier	elsevier	PROPN
iogr-429	212	6	science	science	PROPN
iogr-429	212	7	.	.	PUNCT
iogr-429	213	1	grimstad	grimstad	PROPN
iogr-429	213	2	,	,	PUNCT
iogr-429	213	3	a.a	a.a	PROPN
iogr-429	213	4	.	.	PROPN
iogr-429	213	5	,	,	PUNCT
iogr-429	213	6	mannseth	mannseth	PROPN
iogr-429	213	7	,	,	PUNCT
iogr-429	213	8	t.	t.	NOUN
iogr-429	213	9	,	,	PUNCT
iogr-429	213	10	nævdal	nævdal	NOUN
iogr-429	213	11	,	,	PUNCT
iogr-429	213	12	g.	g.	PROPN
iogr-429	213	13	,	,	PUNCT
iogr-429	213	14	et	et	PROPN
iogr-429	213	15	al	al	PROPN
iogr-429	213	16	.	.	PROPN
iogr-429	213	17	2003	2003	NUM
iogr-429	213	18	.	.	PUNCT
iogr-429	214	1	adaptive	adaptive	ADJ
iogr-429	214	2	multiscale	multiscale	ADJ
iogr-429	214	3	permeability	permeability	NOUN
iogr-429	214	4	estimation	estimation	NOUN
iogr-429	214	5	.	.	PUNCT
iogr-429	215	1	computational	computational	ADJ
iogr-429	215	2	geosciences	geoscience	NOUN
iogr-429	215	3	7(1	7(1	NUM
iogr-429	215	4	):	):	PUNCT
iogr-429	215	5	1	1	NUM
iogr-429	215	6	-	-	SYM
iogr-429	215	7	25	25	NUM
iogr-429	215	8	.	.	PUNCT
iogr-429	216	1	sahni	sahni	PROPN
iogr-429	216	2	,	,	PUNCT
iogr-429	216	3	i.	i.	PROPN
iogr-429	216	4	and	and	CCONJ
iogr-429	216	5	horne	horne	PROPN
iogr-429	216	6	,	,	PUNCT
iogr-429	216	7	r.n	r.n	PROPN
iogr-429	216	8	.	.	PROPN
iogr-429	216	9	2005	2005	NUM
iogr-429	216	10	.	.	PUNCT
iogr-429	217	1	multiresolution	multiresolution	NOUN
iogr-429	217	2	wavelet	wavelet	NOUN
iogr-429	217	3	analysis	analysis	NOUN
iogr-429	217	4	for	for	ADP
iogr-429	217	5	improved	improved	ADJ
iogr-429	217	6	reservoir	reservoir	NOUN
iogr-429	217	7	description	description	NOUN
iogr-429	217	8	.	.	PUNCT
iogr-429	218	1	spe	spe	PROPN
iogr-429	218	2	reservoir	reservoir	PROPN
iogr-429	218	3	evaluation	evaluation	PROPN
iogr-429	218	4	&	&	CCONJ
iogr-429	218	5	engineering	engineering	NOUN
iogr-429	218	6	8(1	8(1	NOUN
iogr-429	218	7	):	):	PUNCT
iogr-429	218	8	53	53	NUM
iogr-429	218	9	-	-	SYM
iogr-429	218	10	69	69	NUM
iogr-429	218	11	.	.	PUNCT
iogr-429	219	1	spe-87820	spe-87820	PROPN
iogr-429	219	2	-	-	PUNCT
iogr-429	219	3	pa	pa	PROPN
iogr-429	219	4	.	.	PUNCT
iogr-429	220	1	hao	hao	PROPN
iogr-429	220	2	wang	wang	PROPN
iogr-429	220	3	is	be	AUX
iogr-429	220	4	a	a	DET
iogr-429	220	5	petroleum	petroleum	NOUN
iogr-429	220	6	engineer	engineer	NOUN
iogr-429	220	7	at	at	ADP
iogr-429	220	8	liaohe	liaohe	NOUN
iogr-429	220	9	oilfield	oilfield	NOUN
iogr-429	220	10	company	company	NOUN
iogr-429	220	11	,	,	PUNCT
iogr-429	220	12	a	a	DET
iogr-429	220	13	subsidiary	subsidiary	NOUN
iogr-429	220	14	of	of	ADP
iogr-429	220	15	petrochina	petrochina	NOUN
iogr-429	220	16	.	.	PUNCT
iogr-429	221	1	wang	wang	PROPN
iogr-429	221	2	’s	’s	PART
iogr-429	221	3	specialties	specialty	NOUN
iogr-429	221	4	include	include	VERB
iogr-429	221	5	viscous	viscous	ADJ
iogr-429	221	6	oil	oil	NOUN
iogr-429	221	7	development	development	NOUN
iogr-429	221	8	technologies	technology	NOUN
iogr-429	221	9	,	,	PUNCT
iogr-429	221	10	like	like	ADP
iogr-429	221	11	sagd	sagd	NOUN
iogr-429	221	12	and	and	CCONJ
iogr-429	221	13	steam	steam	NOUN
iogr-429	221	14	drive	drive	NOUN
iogr-429	221	15	.	.	PUNCT
iogr-429	222	1	wang	wang	PROPN
iogr-429	222	2	holds	hold	VERB
iogr-429	222	3	a	a	DET
iogr-429	222	4	bachelor	bachelor	NOUN
iogr-429	222	5	’s	’s	PART
iogr-429	222	6	degree	degree	NOUN
iogr-429	222	7	in	in	ADP
iogr-429	222	8	petroleum	petroleum	NOUN
iogr-429	222	9	engineering	engineering	NOUN
iogr-429	222	10	from	from	ADP
iogr-429	222	11	china	china	PROPN
iogr-429	222	12	university	university	PROPN
iogr-429	222	13	of	of	ADP
iogr-429	222	14	petroleum	petroleum	PROPN
iogr-429	222	15	,	,	PUNCT
iogr-429	222	16	beijing	beijing	PROPN
iogr-429	222	17	,	,	PUNCT
iogr-429	222	18	and	and	CCONJ
iogr-429	222	19	master	master	NOUN
iogr-429	222	20	’s	’s	PART
iogr-429	222	21	degree	degree	NOUN
iogr-429	222	22	in	in	ADP
iogr-429	222	23	petroleum	petroleum	NOUN
iogr-429	222	24	engineering	engineering	NOUN
iogr-429	222	25	from	from	ADP
iogr-429	222	26	northeast	northeast	ADJ
iogr-429	222	27	petroleum	petroleum	NOUN
iogr-429	222	28	university	university	NOUN
iogr-429	222	29	.	.	PUNCT