id	sid	tid	token	lemma	pos
ejpam-4922	1	1	european	european	PROPN
ejpam-4922	1	2	journal	journal	PROPN
ejpam-4922	1	3	of	of	ADP
ejpam-4922	1	4	pure	pure	ADJ
ejpam-4922	1	5	and	and	CCONJ
ejpam-4922	1	6	applied	apply	VERB
ejpam-4922	1	7	mathematics	mathematic	NOUN
ejpam-4922	1	8	vol	vol	NOUN
ejpam-4922	1	9	.	.	PUNCT
ejpam-4922	2	1	16	16	NUM
ejpam-4922	2	2	,	,	PUNCT
ejpam-4922	2	3	no	no	INTJ
ejpam-4922	2	4	.	.	NOUN
ejpam-4922	2	5	4	4	NUM
ejpam-4922	2	6	,	,	PUNCT
ejpam-4922	2	7	2023	2023	NUM
ejpam-4922	2	8	,	,	PUNCT
ejpam-4922	2	9	2169	2169	NUM
ejpam-4922	2	10	-	-	SYM
ejpam-4922	2	11	2186	2186	NUM
ejpam-4922	2	12	issn	issn	PROPN
ejpam-4922	2	13	1307	1307	NUM
ejpam-4922	2	14	-	-	SYM
ejpam-4922	2	15	5543	5543	NUM
ejpam-4922	2	16	–	–	PUNCT
ejpam-4922	2	17	ejpam.com	ejpam.com	X
ejpam-4922	2	18	published	publish	VERB
ejpam-4922	2	19	by	by	ADP
ejpam-4922	2	20	new	new	PROPN
ejpam-4922	2	21	york	york	PROPN
ejpam-4922	2	22	business	business	PROPN
ejpam-4922	2	23	global	global	ADJ
ejpam-4922	2	24	analytical	analytical	ADJ
ejpam-4922	2	25	solution	solution	NOUN
ejpam-4922	2	26	of	of	ADP
ejpam-4922	2	27	vertically	vertically	ADV
ejpam-4922	2	28	integrated	integrate	VERB
ejpam-4922	2	29	equations	equation	NOUN
ejpam-4922	2	30	of	of	ADP
ejpam-4922	2	31	a	a	DET
ejpam-4922	2	32	confined	confine	VERB
ejpam-4922	2	33	aquifer	aquifer	NOUN
ejpam-4922	2	34	in	in	ADP
ejpam-4922	2	35	two	two	NUM
ejpam-4922	2	36	-	-	PUNCT
ejpam-4922	2	37	dimension	dimension	NOUN
ejpam-4922	2	38	using	use	VERB
ejpam-4922	2	39	finite	finite	ADJ
ejpam-4922	2	40	volume	volume	NOUN
ejpam-4922	2	41	method	method	NOUN
ejpam-4922	2	42	cordy	cordy	ADJ
ejpam-4922	2	43	jourvel	jourvel	NOUN
ejpam-4922	2	44	itoua	itoua	ADV
ejpam-4922	2	45	-	-	PUNCT
ejpam-4922	2	46	tsele1,2,∗	tsele1,2,∗	NOUN
ejpam-4922	2	47	,	,	PUNCT
ejpam-4922	2	48	antoine	antoine	PROPN
ejpam-4922	2	49	filankembo	filankembo	PROPN
ejpam-4922	2	50	ouassissou2	ouassissou2	NOUN
ejpam-4922	2	51	1	1	NUM
ejpam-4922	2	52	département	département	PROPN
ejpam-4922	2	53	des	des	X
ejpam-4922	2	54	licences	licence	NOUN
ejpam-4922	2	55	,	,	PUNCT
ejpam-4922	2	56	école	école	ADJ
ejpam-4922	2	57	nationale	nationale	ADJ
ejpam-4922	2	58	supérieure	supérieure	NOUN
ejpam-4922	2	59	polytechnique	polytechnique	NOUN
ejpam-4922	2	60	,	,	PUNCT
ejpam-4922	2	61	université	université	NOUN
ejpam-4922	2	62	marien	marien	PROPN
ejpam-4922	2	63	ngouabi	ngouabi	PROPN
ejpam-4922	2	64	,	,	PUNCT
ejpam-4922	2	65	brazzaville	brazzaville	PROPN
ejpam-4922	2	66	,	,	PUNCT
ejpam-4922	2	67	congo	congo	PROPN
ejpam-4922	3	1	2	2	NUM
ejpam-4922	3	2	département	département	PROPN
ejpam-4922	3	3	des	des	X
ejpam-4922	3	4	sciences	science	NOUN
ejpam-4922	3	5	exacts	exact	VERB
ejpam-4922	3	6	,	,	PUNCT
ejpam-4922	3	7	école	école	ADJ
ejpam-4922	3	8	normale	normale	PROPN
ejpam-4922	3	9	supérieure	supérieure	NOUN
ejpam-4922	3	10	,	,	PUNCT
ejpam-4922	3	11	université	université	NOUN
ejpam-4922	3	12	marien	marien	PROPN
ejpam-4922	3	13	ngouabi	ngouabi	PROPN
ejpam-4922	3	14	,	,	PUNCT
ejpam-4922	3	15	brazzaville	brazzaville	PROPN
ejpam-4922	3	16	,	,	PUNCT
ejpam-4922	3	17	congo	congo	PROPN
ejpam-4922	3	18	abstract	abstract	NOUN
ejpam-4922	3	19	.	.	PUNCT
ejpam-4922	4	1	groundwater	groundwater	NOUN
ejpam-4922	4	2	plays	play	VERB
ejpam-4922	4	3	an	an	DET
ejpam-4922	4	4	important	important	ADJ
ejpam-4922	4	5	role	role	NOUN
ejpam-4922	4	6	in	in	ADP
ejpam-4922	4	7	feeding	feed	VERB
ejpam-4922	4	8	many	many	ADJ
ejpam-4922	4	9	families	family	NOUN
ejpam-4922	4	10	and	and	CCONJ
ejpam-4922	4	11	societies	society	NOUN
ejpam-4922	4	12	whose	whose	DET
ejpam-4922	4	13	access	access	NOUN
ejpam-4922	4	14	to	to	ADP
ejpam-4922	4	15	water	water	NOUN
ejpam-4922	4	16	is	be	AUX
ejpam-4922	4	17	a	a	DET
ejpam-4922	4	18	huge	huge	ADJ
ejpam-4922	4	19	problem	problem	NOUN
ejpam-4922	4	20	for	for	ADP
ejpam-4922	4	21	several	several	ADJ
ejpam-4922	4	22	reasons	reason	NOUN
ejpam-4922	4	23	,	,	PUNCT
ejpam-4922	4	24	then	then	ADV
ejpam-4922	4	25	the	the	DET
ejpam-4922	4	26	mathematical	mathematical	ADJ
ejpam-4922	4	27	model	model	NOUN
ejpam-4922	4	28	is	be	AUX
ejpam-4922	4	29	an	an	DET
ejpam-4922	4	30	essential	essential	ADJ
ejpam-4922	4	31	part	part	NOUN
ejpam-4922	4	32	of	of	ADP
ejpam-4922	4	33	a	a	DET
ejpam-4922	4	34	hydrologist	hydrologist	NOUN
ejpam-4922	4	35	’s	’s	PART
ejpam-4922	4	36	daily	daily	ADJ
ejpam-4922	4	37	life	life	NOUN
ejpam-4922	4	38	to	to	PART
ejpam-4922	4	39	understand	understand	VERB
ejpam-4922	4	40	the	the	DET
ejpam-4922	4	41	physical	physical	ADJ
ejpam-4922	4	42	phenomena	phenomenon	NOUN
ejpam-4922	4	43	.	.	PUNCT
ejpam-4922	5	1	in	in	ADP
ejpam-4922	5	2	this	this	DET
ejpam-4922	5	3	paper	paper	NOUN
ejpam-4922	5	4	,	,	PUNCT
ejpam-4922	5	5	we	we	PRON
ejpam-4922	5	6	used	use	VERB
ejpam-4922	5	7	dupuit	dupuit	NOUN
ejpam-4922	5	8	’s	’s	PART
ejpam-4922	5	9	assumption	assumption	NOUN
ejpam-4922	5	10	to	to	PART
ejpam-4922	5	11	reduce	reduce	VERB
ejpam-4922	5	12	the	the	DET
ejpam-4922	5	13	groundwater	groundwater	NOUN
ejpam-4922	5	14	flow	flow	NOUN
ejpam-4922	5	15	equation	equation	NOUN
ejpam-4922	5	16	and	and	CCONJ
ejpam-4922	5	17	integrated	integrate	VERB
ejpam-4922	5	18	vertically	vertically	ADV
ejpam-4922	5	19	it	it	PRON
ejpam-4922	5	20	to	to	PART
ejpam-4922	5	21	obtain	obtain	VERB
ejpam-4922	5	22	the	the	DET
ejpam-4922	5	23	diffusivity	diffusivity	NOUN
ejpam-4922	5	24	equation	equation	NOUN
ejpam-4922	5	25	in	in	ADP
ejpam-4922	5	26	terms	term	NOUN
ejpam-4922	5	27	of	of	ADP
ejpam-4922	5	28	the	the	DET
ejpam-4922	5	29	hydraulic	hydraulic	ADJ
ejpam-4922	5	30	head	head	NOUN
ejpam-4922	5	31	,	,	PUNCT
ejpam-4922	5	32	further	far	ADV
ejpam-4922	5	33	,	,	PUNCT
ejpam-4922	5	34	the	the	DET
ejpam-4922	5	35	introduction	introduction	NOUN
ejpam-4922	5	36	of	of	ADP
ejpam-4922	5	37	fundamental	fundamental	ADJ
ejpam-4922	5	38	ideas	idea	NOUN
ejpam-4922	5	39	in	in	ADP
ejpam-4922	5	40	groundwater	groundwater	NOUN
ejpam-4922	5	41	research	research	NOUN
ejpam-4922	5	42	,	,	PUNCT
ejpam-4922	5	43	including	include	VERB
ejpam-4922	5	44	vocabulary	vocabulary	NOUN
ejpam-4922	5	45	and	and	CCONJ
ejpam-4922	5	46	mathematics	mathematic	NOUN
ejpam-4922	5	47	will	will	AUX
ejpam-4922	5	48	give	give	VERB
ejpam-4922	5	49	readers	reader	NOUN
ejpam-4922	5	50	the	the	DET
ejpam-4922	5	51	basis	basis	NOUN
ejpam-4922	5	52	knowledge	knowledge	NOUN
ejpam-4922	5	53	.	.	PUNCT
ejpam-4922	6	1	numerous	numerous	ADJ
ejpam-4922	6	2	numerical	numerical	ADJ
ejpam-4922	6	3	techniques	technique	NOUN
ejpam-4922	6	4	can	can	AUX
ejpam-4922	6	5	be	be	AUX
ejpam-4922	6	6	recognized	recognize	VERB
ejpam-4922	6	7	,	,	PUNCT
ejpam-4922	6	8	the	the	DET
ejpam-4922	6	9	unstructured	unstructured	ADJ
ejpam-4922	6	10	finite	finite	PROPN
ejpam-4922	6	11	volume	volume	NOUN
ejpam-4922	6	12	method	method	NOUN
ejpam-4922	6	13	was	be	AUX
ejpam-4922	6	14	used	use	VERB
ejpam-4922	6	15	to	to	PART
ejpam-4922	6	16	solve	solve	VERB
ejpam-4922	6	17	a	a	DET
ejpam-4922	6	18	transient	transient	ADJ
ejpam-4922	6	19	diffusivity	diffusivity	NOUN
ejpam-4922	6	20	equation	equation	NOUN
ejpam-4922	6	21	through	through	ADP
ejpam-4922	6	22	a	a	DET
ejpam-4922	6	23	coastal	coastal	ADJ
ejpam-4922	6	24	confined	confine	VERB
ejpam-4922	6	25	aquifer	aquifer	NOUN
ejpam-4922	6	26	.	.	PUNCT
ejpam-4922	7	1	the	the	DET
ejpam-4922	7	2	constructed	construct	VERB
ejpam-4922	7	3	finite	finite	NOUN
ejpam-4922	7	4	volume	volume	NOUN
ejpam-4922	7	5	schemes	scheme	NOUN
ejpam-4922	7	6	are	be	AUX
ejpam-4922	7	7	used	use	VERB
ejpam-4922	7	8	to	to	PART
ejpam-4922	7	9	study	study	VERB
ejpam-4922	7	10	the	the	DET
ejpam-4922	7	11	distribution	distribution	NOUN
ejpam-4922	7	12	of	of	ADP
ejpam-4922	7	13	hydraulic	hydraulic	ADJ
ejpam-4922	7	14	heads	head	NOUN
ejpam-4922	7	15	in	in	ADP
ejpam-4922	7	16	the	the	DET
ejpam-4922	7	17	model	model	NOUN
ejpam-4922	7	18	domain	domain	NOUN
ejpam-4922	7	19	,	,	PUNCT
ejpam-4922	7	20	to	to	PART
ejpam-4922	7	21	determine	determine	VERB
ejpam-4922	7	22	water	water	NOUN
ejpam-4922	7	23	table	table	NOUN
ejpam-4922	7	24	fluctuations	fluctuation	NOUN
ejpam-4922	7	25	,	,	PUNCT
ejpam-4922	7	26	and	and	CCONJ
ejpam-4922	7	27	to	to	PART
ejpam-4922	7	28	predict	predict	VERB
ejpam-4922	7	29	the	the	DET
ejpam-4922	7	30	drawdown	drawdown	ADJ
ejpam-4922	7	31	phenomena	phenomenon	NOUN
ejpam-4922	7	32	.	.	PUNCT
ejpam-4922	8	1	2020	2020	NUM
ejpam-4922	8	2	mathematics	mathematic	NOUN
ejpam-4922	8	3	subject	subject	NOUN
ejpam-4922	8	4	classifications	classification	NOUN
ejpam-4922	8	5	:	:	PUNCT
ejpam-4922	8	6	92	92	NUM
ejpam-4922	8	7	-	-	SYM
ejpam-4922	8	8	10	10	NUM
ejpam-4922	8	9	,	,	PUNCT
ejpam-4922	8	10	35a20	35a20	NUM
ejpam-4922	8	11	,	,	PUNCT
ejpam-4922	8	12	35a08	35a08	NUM
ejpam-4922	8	13	,	,	PUNCT
ejpam-4922	8	14	65m08	65m08	NUM
ejpam-4922	8	15	65m08	65m08	NUM
ejpam-4922	8	16	key	key	ADJ
ejpam-4922	8	17	words	word	NOUN
ejpam-4922	8	18	and	and	CCONJ
ejpam-4922	8	19	phrases	phrase	NOUN
ejpam-4922	8	20	:	:	PUNCT
ejpam-4922	8	21	confined	confine	VERB
ejpam-4922	8	22	aquifer	aquifer	NOUN
ejpam-4922	8	23	,	,	PUNCT
ejpam-4922	8	24	vertically	vertically	ADV
ejpam-4922	8	25	integrated	integrate	VERB
ejpam-4922	8	26	,	,	PUNCT
ejpam-4922	8	27	dupuit	dupuit	NOUN
ejpam-4922	8	28	’s	’s	PART
ejpam-4922	8	29	assumption	assumption	NOUN
ejpam-4922	8	30	,	,	PUNCT
ejpam-4922	8	31	groundwater	groundwater	NOUN
ejpam-4922	8	32	,	,	PUNCT
ejpam-4922	8	33	finite	finite	ADJ
ejpam-4922	8	34	volume	volume	NOUN
ejpam-4922	8	35	method	method	NOUN
ejpam-4922	8	36	1	1	NUM
ejpam-4922	8	37	.	.	PUNCT
ejpam-4922	8	38	introduction	introduction	NOUN
ejpam-4922	8	39	groundwater	groundwater	NOUN
ejpam-4922	8	40	is	be	AUX
ejpam-4922	8	41	all	all	DET
ejpam-4922	8	42	water	water	NOUN
ejpam-4922	8	43	found	find	VERB
ejpam-4922	8	44	below	below	ADP
ejpam-4922	8	45	the	the	DET
ejpam-4922	8	46	ground	ground	NOUN
ejpam-4922	8	47	surface	surface	NOUN
ejpam-4922	8	48	,	,	PUNCT
ejpam-4922	8	49	in	in	ADP
ejpam-4922	8	50	the	the	DET
ejpam-4922	8	51	saturation	saturation	NOUN
ejpam-4922	8	52	zone	zone	NOUN
ejpam-4922	8	53	,	,	PUNCT
ejpam-4922	8	54	and	and	CCONJ
ejpam-4922	8	55	in	in	ADP
ejpam-4922	8	56	direct	direct	ADJ
ejpam-4922	8	57	contact	contact	NOUN
ejpam-4922	8	58	with	with	ADP
ejpam-4922	8	59	the	the	DET
ejpam-4922	8	60	ground	ground	NOUN
ejpam-4922	8	61	or	or	CCONJ
ejpam-4922	8	62	subsoil	subsoil	NOUN
ejpam-4922	8	63	,	,	PUNCT
ejpam-4922	8	64	and	and	CCONJ
ejpam-4922	8	65	is	be	AUX
ejpam-4922	8	66	used	use	VERB
ejpam-4922	8	67	in	in	ADP
ejpam-4922	8	68	many	many	ADJ
ejpam-4922	8	69	coastal	coastal	ADJ
ejpam-4922	8	70	regions	region	NOUN
ejpam-4922	8	71	to	to	PART
ejpam-4922	8	72	meet	meet	VERB
ejpam-4922	8	73	domestic	domestic	ADJ
ejpam-4922	8	74	,	,	PUNCT
ejpam-4922	8	75	commercial	commercial	ADJ
ejpam-4922	8	76	,	,	PUNCT
ejpam-4922	8	77	and	and	CCONJ
ejpam-4922	8	78	agricultural	agricultural	ADJ
ejpam-4922	8	79	daily	daily	ADJ
ejpam-4922	8	80	needs	need	NOUN
ejpam-4922	8	81	[	[	X
ejpam-4922	8	82	3	3	NUM
ejpam-4922	8	83	]	]	PUNCT
ejpam-4922	8	84	.	.	PUNCT
ejpam-4922	9	1	the	the	DET
ejpam-4922	9	2	pore	pore	ADJ
ejpam-4922	9	3	space	space	NOUN
ejpam-4922	9	4	is	be	AUX
ejpam-4922	9	5	referred	refer	VERB
ejpam-4922	9	6	to	to	ADP
ejpam-4922	9	7	as	as	ADP
ejpam-4922	9	8	unsaturated	unsaturated	ADJ
ejpam-4922	9	9	when	when	SCONJ
ejpam-4922	9	10	it	it	PRON
ejpam-4922	9	11	is	be	AUX
ejpam-4922	9	12	close	close	ADJ
ejpam-4922	9	13	to	to	ADP
ejpam-4922	9	14	the	the	DET
ejpam-4922	9	15	soil	soil	NOUN
ejpam-4922	9	16	surface	surface	NOUN
ejpam-4922	9	17	and	and	CCONJ
ejpam-4922	9	18	typically	typically	ADV
ejpam-4922	9	19	contains	contain	VERB
ejpam-4922	9	20	a	a	DET
ejpam-4922	9	21	mixture	mixture	NOUN
ejpam-4922	9	22	of	of	ADP
ejpam-4922	9	23	air	air	NOUN
ejpam-4922	9	24	and	and	CCONJ
ejpam-4922	9	25	water	water	NOUN
ejpam-4922	9	26	.	.	PUNCT
ejpam-4922	10	1	the	the	DET
ejpam-4922	10	2	pores	pore	NOUN
ejpam-4922	10	3	are	be	AUX
ejpam-4922	10	4	constantly	constantly	ADV
ejpam-4922	10	5	saturated	saturate	VERB
ejpam-4922	10	6	with	with	ADP
ejpam-4922	10	7	water	water	NOUN
ejpam-4922	10	8	as	as	SCONJ
ejpam-4922	10	9	you	you	PRON
ejpam-4922	10	10	go	go	VERB
ejpam-4922	10	11	further	far	ADV
ejpam-4922	10	12	into	into	ADP
ejpam-4922	10	13	the	the	DET
ejpam-4922	10	14	ground	ground	NOUN
ejpam-4922	10	15	.	.	PUNCT
ejpam-4922	11	1	the	the	DET
ejpam-4922	11	2	definition	definition	NOUN
ejpam-4922	11	3	of	of	ADP
ejpam-4922	11	4	the	the	DET
ejpam-4922	11	5	term	term	NOUN
ejpam-4922	11	6	water	water	NOUN
ejpam-4922	11	7	table	table	NOUN
ejpam-4922	11	8	is	be	AUX
ejpam-4922	11	9	the	the	DET
ejpam-4922	11	10	level	level	NOUN
ejpam-4922	11	11	in	in	ADP
ejpam-4922	11	12	the	the	DET
ejpam-4922	11	13	ground	ground	NOUN
ejpam-4922	11	14	above	above	ADP
ejpam-4922	11	15	which	which	PRON
ejpam-4922	11	16	the	the	DET
ejpam-4922	11	17	pore	pore	ADJ
ejpam-4922	11	18	space	space	NOUN
ejpam-4922	11	19	is	be	AUX
ejpam-4922	11	20	unsaturated	unsaturate	VERB
ejpam-4922	11	21	and	and	CCONJ
ejpam-4922	11	22	below	below	ADP
ejpam-4922	11	23	which	which	PRON
ejpam-4922	11	24	it	it	PRON
ejpam-4922	11	25	is	be	AUX
ejpam-4922	11	26	saturated	saturate	VERB
ejpam-4922	11	27	,	,	PUNCT
ejpam-4922	11	28	and	and	CCONJ
ejpam-4922	11	29	where	where	SCONJ
ejpam-4922	11	30	water	water	NOUN
ejpam-4922	11	31	that	that	PRON
ejpam-4922	11	32	infiltrates	infiltrate	VERB
ejpam-4922	11	33	∗corresponding	∗corresponde	VERB
ejpam-4922	11	34	author	author	NOUN
ejpam-4922	11	35	.	.	PUNCT
ejpam-4922	12	1	doi	doi	NOUN
ejpam-4922	12	2	:	:	PUNCT
ejpam-4922	12	3	https://doi.org/10.29020/nybg.ejpam.v16i4.4922	https://doi.org/10.29020/nybg.ejpam.v16i4.4922	NUM
ejpam-4922	12	4	email	email	NOUN
ejpam-4922	12	5	addresses	address	NOUN
ejpam-4922	12	6	:	:	PUNCT
ejpam-4922	12	7	cordy2018@yahoo.com	cordy2018@yahoo.com	X
ejpam-4922	12	8	(	(	PUNCT
ejpam-4922	12	9	c.	c.	PROPN
ejpam-4922	12	10	j.	j.	PROPN
ejpam-4922	12	11	itoua	itoua	PROPN
ejpam-4922	12	12	-	-	PUNCT
ejpam-4922	12	13	tsele	tsele	NOUN
ejpam-4922	12	14	)	)	PUNCT
ejpam-4922	12	15	,	,	PUNCT
ejpam-4922	12	16	filan	filan	PROPN
ejpam-4922	12	17	64@hotmail.fr	64@hotmail.fr	NUM
ejpam-4922	12	18	(	(	PUNCT
ejpam-4922	12	19	a.	a.	PROPN
ejpam-4922	12	20	f.	f.	PROPN
ejpam-4922	12	21	ouassissou	ouassissou	PROPN
ejpam-4922	12	22	)	)	PUNCT
ejpam-4922	12	23	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4922	12	24	2169	2169	NUM
ejpam-4922	13	1	©	©	PROPN
ejpam-4922	13	2	2023	2023	NUM
ejpam-4922	13	3	ejpam	ejpam	NOUN
ejpam-4922	13	4	all	all	DET
ejpam-4922	13	5	rights	right	NOUN
ejpam-4922	13	6	reserved	reserve	VERB
ejpam-4922	13	7	.	.	PUNCT
ejpam-4922	14	1	c.	c.	PROPN
ejpam-4922	14	2	j.	j.	PROPN
ejpam-4922	14	3	itoua	itoua	PROPN
ejpam-4922	14	4	-	-	PUNCT
ejpam-4922	14	5	tsele	tsele	NOUN
ejpam-4922	14	6	,	,	PUNCT
ejpam-4922	14	7	a.	a.	PROPN
ejpam-4922	14	8	f.	f.	PROPN
ejpam-4922	14	9	ouassissou	ouassissou	PROPN
ejpam-4922	14	10	/	/	SYM
ejpam-4922	14	11	eur	eur	PROPN
ejpam-4922	14	12	.	.	PUNCT
ejpam-4922	15	1	j.	j.	PROPN
ejpam-4922	15	2	pure	pure	PROPN
ejpam-4922	15	3	appl	appl	PROPN
ejpam-4922	15	4	.	.	PROPN
ejpam-4922	15	5	math	math	PROPN
ejpam-4922	15	6	,	,	PUNCT
ejpam-4922	15	7	16	16	NUM
ejpam-4922	15	8	(	(	PUNCT
ejpam-4922	15	9	4	4	NUM
ejpam-4922	15	10	)	)	PUNCT
ejpam-4922	15	11	(	(	PUNCT
ejpam-4922	15	12	2023	2023	NUM
ejpam-4922	15	13	)	)	PUNCT
ejpam-4922	15	14	,	,	PUNCT
ejpam-4922	15	15	2169	2169	NUM
ejpam-4922	15	16	-	-	SYM
ejpam-4922	15	17	2186	2186	NUM
ejpam-4922	15	18	2170	2170	NUM
ejpam-4922	15	19	can	can	AUX
ejpam-4922	15	20	accumulate	accumulate	VERB
ejpam-4922	15	21	and	and	CCONJ
ejpam-4922	15	22	form	form	VERB
ejpam-4922	15	23	an	an	DET
ejpam-4922	15	24	aquifer[11	aquifer[11	NOUN
ejpam-4922	15	25	]	]	PUNCT
ejpam-4922	15	26	.	.	PUNCT
ejpam-4922	16	1	an	an	DET
ejpam-4922	16	2	aquifer	aquifer	NOUN
ejpam-4922	16	3	is	be	AUX
ejpam-4922	16	4	a	a	DET
ejpam-4922	16	5	geological	geological	ADJ
ejpam-4922	16	6	formation	formation	NOUN
ejpam-4922	16	7	which	which	PRON
ejpam-4922	16	8	(	(	PUNCT
ejpam-4922	16	9	i	i	NOUN
ejpam-4922	16	10	)	)	PUNCT
ejpam-4922	16	11	contains	contain	VERB
ejpam-4922	16	12	water	water	NOUN
ejpam-4922	16	13	and	and	CCONJ
ejpam-4922	16	14	(	(	PUNCT
ejpam-4922	16	15	ii	ii	NOUN
ejpam-4922	16	16	)	)	PUNCT
ejpam-4922	16	17	permits	permit	VERB
ejpam-4922	16	18	significant	significant	ADJ
ejpam-4922	16	19	amounts	amount	NOUN
ejpam-4922	16	20	of	of	ADP
ejpam-4922	16	21	water	water	NOUN
ejpam-4922	16	22	to	to	PART
ejpam-4922	16	23	move	move	VERB
ejpam-4922	16	24	through	through	ADP
ejpam-4922	16	25	it	it	PRON
ejpam-4922	16	26	under	under	ADP
ejpam-4922	16	27	ordinary	ordinary	ADJ
ejpam-4922	16	28	field	field	NOUN
ejpam-4922	16	29	conditions	condition	NOUN
ejpam-4922	16	30	[	[	X
ejpam-4922	16	31	2	2	NUM
ejpam-4922	16	32	]	]	PUNCT
ejpam-4922	16	33	.	.	PUNCT
ejpam-4922	17	1	there	there	PRON
ejpam-4922	17	2	are	be	VERB
ejpam-4922	17	3	two	two	NUM
ejpam-4922	17	4	types	type	NOUN
ejpam-4922	17	5	of	of	ADP
ejpam-4922	17	6	aquifers	aquifer	NOUN
ejpam-4922	17	7	:	:	PUNCT
ejpam-4922	17	8	(	(	PUNCT
ejpam-4922	17	9	i	i	NOUN
ejpam-4922	17	10	)	)	PUNCT
ejpam-4922	17	11	confined	confine	VERB
ejpam-4922	17	12	aquifer	aquifer	NOUN
ejpam-4922	17	13	:	:	PUNCT
ejpam-4922	17	14	is	be	AUX
ejpam-4922	17	15	an	an	DET
ejpam-4922	17	16	aquifer	aquifer	NOUN
ejpam-4922	17	17	that	that	PRON
ejpam-4922	17	18	is	be	AUX
ejpam-4922	17	19	bounded	bound	VERB
ejpam-4922	17	20	above	above	ADP
ejpam-4922	17	21	and	and	CCONJ
ejpam-4922	17	22	below	below	ADV
ejpam-4922	17	23	by	by	ADP
ejpam-4922	17	24	impermeable	impermeable	ADJ
ejpam-4922	17	25	geologic	geologic	ADJ
ejpam-4922	17	26	formations	formation	NOUN
ejpam-4922	17	27	.	.	PUNCT
ejpam-4922	18	1	confined	confine	VERB
ejpam-4922	18	2	aquifers	aquifer	NOUN
ejpam-4922	18	3	generally	generally	ADV
ejpam-4922	18	4	occur	occur	VERB
ejpam-4922	18	5	at	at	ADP
ejpam-4922	18	6	significant	significant	ADJ
ejpam-4922	18	7	depth	depth	NOUN
ejpam-4922	18	8	below	below	ADP
ejpam-4922	18	9	the	the	DET
ejpam-4922	18	10	ground	ground	NOUN
ejpam-4922	18	11	surface	surface	NOUN
ejpam-4922	18	12	.	.	PUNCT
ejpam-4922	19	1	(	(	PUNCT
ejpam-4922	19	2	ii	ii	NOUN
ejpam-4922	19	3	)	)	PUNCT
ejpam-4922	19	4	unconfined	unconfined	ADJ
ejpam-4922	19	5	aquifer	aquifer	NOUN
ejpam-4922	19	6	:	:	PUNCT
ejpam-4922	19	7	also	also	ADV
ejpam-4922	19	8	called	call	VERB
ejpam-4922	19	9	a	a	DET
ejpam-4922	19	10	water	water	NOUN
ejpam-4922	19	11	-	-	PUNCT
ejpam-4922	19	12	table	table	NOUN
ejpam-4922	19	13	aquifer	aquifer	NOUN
ejpam-4922	19	14	or	or	CCONJ
ejpam-4922	19	15	phreatic	phreatic	ADJ
ejpam-4922	19	16	aquifer	aquifer	NOUN
ejpam-4922	19	17	,	,	PUNCT
ejpam-4922	19	18	is	be	AUX
ejpam-4922	19	19	an	an	DET
ejpam-4922	19	20	aquifer	aquifer	NOUN
ejpam-4922	19	21	which	which	PRON
ejpam-4922	19	22	has	have	VERB
ejpam-4922	19	23	the	the	DET
ejpam-4922	19	24	water	water	NOUN
ejpam-4922	19	25	table	table	NOUN
ejpam-4922	19	26	as	as	ADP
ejpam-4922	19	27	its	its	PRON
ejpam-4922	19	28	upper	upper	ADJ
ejpam-4922	19	29	boundary	boundary	NOUN
ejpam-4922	19	30	.	.	PUNCT
ejpam-4922	20	1	unconfined	unconfined	ADJ
ejpam-4922	20	2	aquifers	aquifer	NOUN
ejpam-4922	20	3	occur	occur	VERB
ejpam-4922	20	4	near	near	ADP
ejpam-4922	20	5	the	the	DET
ejpam-4922	20	6	ground	ground	NOUN
ejpam-4922	20	7	surface	surface	NOUN
ejpam-4922	20	8	and	and	CCONJ
ejpam-4922	20	9	it	it	PRON
ejpam-4922	20	10	is	be	AUX
ejpam-4922	20	11	directly	directly	ADV
ejpam-4922	20	12	recharged	recharge	VERB
ejpam-4922	20	13	from	from	ADP
ejpam-4922	20	14	the	the	DET
ejpam-4922	20	15	ground	ground	NOUN
ejpam-4922	20	16	surface	surface	NOUN
ejpam-4922	20	17	above	above	ADP
ejpam-4922	20	18	it	it	PRON
ejpam-4922	20	19	,	,	PUNCT
ejpam-4922	20	20	except	except	SCONJ
ejpam-4922	20	21	where	where	SCONJ
ejpam-4922	20	22	impervious	impervious	ADJ
ejpam-4922	20	23	layers	layer	NOUN
ejpam-4922	20	24	,	,	PUNCT
ejpam-4922	20	25	sometimes	sometimes	ADV
ejpam-4922	20	26	of	of	ADP
ejpam-4922	20	27	limited	limited	ADJ
ejpam-4922	20	28	areal	areal	NOUN
ejpam-4922	20	29	extent	extent	NOUN
ejpam-4922	20	30	,	,	PUNCT
ejpam-4922	20	31	exist	exist	VERB
ejpam-4922	20	32	between	between	ADP
ejpam-4922	20	33	the	the	DET
ejpam-4922	20	34	phreatic	phreatic	ADJ
ejpam-4922	20	35	surface	surface	NOUN
ejpam-4922	20	36	(	(	PUNCT
ejpam-4922	20	37	water	water	NOUN
ejpam-4922	20	38	table	table	NOUN
ejpam-4922	20	39	)	)	PUNCT
ejpam-4922	20	40	and	and	CCONJ
ejpam-4922	20	41	the	the	DET
ejpam-4922	20	42	ground	ground	NOUN
ejpam-4922	20	43	surface	surface	NOUN
ejpam-4922	20	44	.	.	PUNCT
ejpam-4922	21	1	in	in	ADP
ejpam-4922	21	2	addition	addition	NOUN
ejpam-4922	21	3	to	to	ADP
ejpam-4922	21	4	these	these	PRON
ejpam-4922	21	5	,	,	PUNCT
ejpam-4922	21	6	groundwater	groundwater	NOUN
ejpam-4922	21	7	has	have	VERB
ejpam-4922	21	8	numerous	numerous	ADJ
ejpam-4922	21	9	other	other	ADJ
ejpam-4922	21	10	advantages	advantage	NOUN
ejpam-4922	21	11	,	,	PUNCT
ejpam-4922	21	12	including	include	VERB
ejpam-4922	21	13	greater	great	ADJ
ejpam-4922	21	14	geothermal	geothermal	ADJ
ejpam-4922	21	15	energy	energy	NOUN
ejpam-4922	21	16	generation	generation	NOUN
ejpam-4922	21	17	,	,	PUNCT
ejpam-4922	21	18	higher	high	ADJ
ejpam-4922	21	19	water	water	NOUN
ejpam-4922	21	20	security	security	NOUN
ejpam-4922	21	21	through	through	ADP
ejpam-4922	21	22	improved	improve	VERB
ejpam-4922	21	23	storage	storage	NOUN
ejpam-4922	21	24	,	,	PUNCT
ejpam-4922	21	25	and	and	CCONJ
ejpam-4922	21	26	resilience	resilience	NOUN
ejpam-4922	21	27	to	to	ADP
ejpam-4922	21	28	the	the	DET
ejpam-4922	21	29	effects	effect	NOUN
ejpam-4922	21	30	of	of	ADP
ejpam-4922	21	31	climate	climate	NOUN
ejpam-4922	21	32	change	change	NOUN
ejpam-4922	21	33	[	[	X
ejpam-4922	21	34	4	4	NUM
ejpam-4922	21	35	]	]	PUNCT
ejpam-4922	21	36	.	.	PUNCT
ejpam-4922	22	1	groundwater	groundwater	NOUN
ejpam-4922	22	2	pollution	pollution	NOUN
ejpam-4922	22	3	due	due	ADP
ejpam-4922	22	4	to	to	ADP
ejpam-4922	22	5	overexploitation	overexploitation	NOUN
ejpam-4922	22	6	for	for	ADP
ejpam-4922	22	7	irrigation	irrigation	NOUN
ejpam-4922	22	8	leads	lead	VERB
ejpam-4922	22	9	to	to	ADP
ejpam-4922	22	10	a	a	DET
ejpam-4922	22	11	deterioration	deterioration	NOUN
ejpam-4922	22	12	of	of	ADP
ejpam-4922	22	13	groundwater	groundwater	NOUN
ejpam-4922	22	14	quality	quality	NOUN
ejpam-4922	22	15	.	.	PUNCT
ejpam-4922	23	1	groundwater	groundwater	NOUN
ejpam-4922	23	2	levels	level	NOUN
ejpam-4922	23	3	are	be	AUX
ejpam-4922	23	4	lowered	lower	VERB
ejpam-4922	23	5	as	as	ADP
ejpam-4922	23	6	a	a	DET
ejpam-4922	23	7	result	result	NOUN
ejpam-4922	23	8	of	of	ADP
ejpam-4922	23	9	drilling	drill	VERB
ejpam-4922	23	10	operations	operation	NOUN
ejpam-4922	23	11	to	to	PART
ejpam-4922	23	12	produce	produce	VERB
ejpam-4922	23	13	water	water	NOUN
ejpam-4922	23	14	close	close	ADJ
ejpam-4922	23	15	to	to	ADP
ejpam-4922	23	16	or	or	CCONJ
ejpam-4922	23	17	in	in	ADP
ejpam-4922	23	18	coastal	coastal	ADJ
ejpam-4922	23	19	areas	area	NOUN
ejpam-4922	23	20	,	,	PUNCT
ejpam-4922	23	21	which	which	PRON
ejpam-4922	23	22	leads	lead	VERB
ejpam-4922	23	23	to	to	ADP
ejpam-4922	23	24	saltwater	saltwater	NOUN
ejpam-4922	23	25	intrusion	intrusion	NOUN
ejpam-4922	23	26	[	[	X
ejpam-4922	23	27	7	7	NUM
ejpam-4922	23	28	]	]	PUNCT
ejpam-4922	23	29	.	.	PUNCT
ejpam-4922	24	1	[	[	X
ejpam-4922	24	2	15	15	NUM
ejpam-4922	24	3	]	]	PUNCT
ejpam-4922	24	4	developed	develop	VERB
ejpam-4922	24	5	a	a	DET
ejpam-4922	24	6	deep	deep	ADJ
ejpam-4922	24	7	learning	learning	NOUN
ejpam-4922	24	8	technique	technique	NOUN
ejpam-4922	24	9	for	for	ADP
ejpam-4922	24	10	groundwater	groundwater	NOUN
ejpam-4922	24	11	flow	flow	NOUN
ejpam-4922	24	12	equations	equation	NOUN
ejpam-4922	24	13	using	use	VERB
ejpam-4922	24	14	wells	well	NOUN
ejpam-4922	24	15	and	and	CCONJ
ejpam-4922	24	16	gw	gw	PROPN
ejpam-4922	24	17	-	-	PUNCT
ejpam-4922	24	18	pinn	pinn	NOUN
ejpam-4922	24	19	without	without	ADP
ejpam-4922	24	20	labeled	label	VERB
ejpam-4922	24	21	data	datum	NOUN
ejpam-4922	24	22	.	.	PUNCT
ejpam-4922	25	1	to	to	PART
ejpam-4922	25	2	test	test	VERB
ejpam-4922	25	3	the	the	DET
ejpam-4922	25	4	gw	gw	PROPN
ejpam-4922	25	5	-	-	PUNCT
ejpam-4922	25	6	pinn	pinn	PROPN
ejpam-4922	25	7	’s	’s	PART
ejpam-4922	25	8	training	training	NOUN
ejpam-4922	25	9	performance	performance	NOUN
ejpam-4922	25	10	under	under	ADP
ejpam-4922	25	11	several	several	ADJ
ejpam-4922	25	12	sampling	sampling	NOUN
ejpam-4922	25	13	procedures	procedure	NOUN
ejpam-4922	25	14	and	and	CCONJ
ejpam-4922	25	15	two	two	NUM
ejpam-4922	25	16	limitations	limitation	NOUN
ejpam-4922	25	17	,	,	PUNCT
ejpam-4922	25	18	five	five	NUM
ejpam-4922	25	19	scenarios	scenario	NOUN
ejpam-4922	25	20	were	be	AUX
ejpam-4922	25	21	created	create	VERB
ejpam-4922	25	22	.	.	PUNCT
ejpam-4922	26	1	the	the	DET
ejpam-4922	26	2	projected	project	VERB
ejpam-4922	26	3	outcomes	outcome	NOUN
ejpam-4922	26	4	of	of	ADP
ejpam-4922	26	5	gw	gw	PROPN
ejpam-4922	26	6	-	-	PUNCT
ejpam-4922	26	7	pinn	pinn	PROPN
ejpam-4922	26	8	were	be	AUX
ejpam-4922	26	9	contrasted	contrast	VERB
ejpam-4922	26	10	with	with	ADP
ejpam-4922	26	11	modflow	modflow	NOUN
ejpam-4922	26	12	and	and	CCONJ
ejpam-4922	26	13	the	the	DET
ejpam-4922	26	14	analytical	analytical	ADJ
ejpam-4922	26	15	solution	solution	NOUN
ejpam-4922	26	16	.	.	PUNCT
ejpam-4922	27	1	the	the	DET
ejpam-4922	27	2	findings	finding	NOUN
ejpam-4922	27	3	show	show	VERB
ejpam-4922	27	4	that	that	SCONJ
ejpam-4922	27	5	gw	gw	PROPN
ejpam-4922	27	6	-	-	PUNCT
ejpam-4922	27	7	pinn	pinn	PROPN
ejpam-4922	27	8	has	have	VERB
ejpam-4922	27	9	a	a	DET
ejpam-4922	27	10	significant	significant	ADJ
ejpam-4922	27	11	capacity	capacity	NOUN
ejpam-4922	27	12	for	for	ADP
ejpam-4922	27	13	capturing	capture	VERB
ejpam-4922	27	14	the	the	DET
ejpam-4922	27	15	hydraulic	hydraulic	ADJ
ejpam-4922	27	16	head	head	NOUN
ejpam-4922	27	17	change	change	NOUN
ejpam-4922	27	18	for	for	ADP
ejpam-4922	27	19	both	both	DET
ejpam-4922	27	20	confined	confine	VERB
ejpam-4922	27	21	and	and	CCONJ
ejpam-4922	27	22	unconfined	unconfined	ADJ
ejpam-4922	27	23	aquifers	aquifer	NOUN
ejpam-4922	27	24	.	.	PUNCT
ejpam-4922	28	1	[	[	X
ejpam-4922	28	2	10	10	NUM
ejpam-4922	28	3	]	]	PUNCT
ejpam-4922	28	4	proposed	propose	VERB
ejpam-4922	28	5	a	a	DET
ejpam-4922	28	6	mathematical	mathematical	ADJ
ejpam-4922	28	7	model	model	NOUN
ejpam-4922	28	8	to	to	PART
ejpam-4922	28	9	represent	represent	VERB
ejpam-4922	28	10	the	the	DET
ejpam-4922	28	11	transition	transition	NOUN
ejpam-4922	28	12	of	of	ADP
ejpam-4922	28	13	groundwater	groundwater	NOUN
ejpam-4922	28	14	flow	flow	NOUN
ejpam-4922	28	15	from	from	ADP
ejpam-4922	28	16	confined	confine	VERB
ejpam-4922	28	17	to	to	ADP
ejpam-4922	28	18	unconfined	unconfined	ADJ
ejpam-4922	28	19	aquifers	aquifer	NOUN
ejpam-4922	28	20	,	,	PUNCT
ejpam-4922	28	21	specifically	specifically	ADV
ejpam-4922	28	22	the	the	DET
ejpam-4922	28	23	classical	classical	ADJ
ejpam-4922	28	24	differential	differential	NOUN
ejpam-4922	28	25	operator	operator	NOUN
ejpam-4922	28	26	that	that	PRON
ejpam-4922	28	27	is	be	AUX
ejpam-4922	28	28	based	base	VERB
ejpam-4922	28	29	on	on	ADP
ejpam-4922	28	30	the	the	DET
ejpam-4922	28	31	rate	rate	NOUN
ejpam-4922	28	32	of	of	ADP
ejpam-4922	28	33	change	change	NOUN
ejpam-4922	28	34	is	be	AUX
ejpam-4922	28	35	replaced	replace	VERB
ejpam-4922	28	36	by	by	ADP
ejpam-4922	28	37	a	a	DET
ejpam-4922	28	38	non	non	ADJ
ejpam-4922	28	39	-	-	ADJ
ejpam-4922	28	40	conventional	conventional	ADJ
ejpam-4922	28	41	one	one	NUM
ejpam-4922	28	42	including	include	VERB
ejpam-4922	28	43	the	the	DET
ejpam-4922	28	44	differential	differential	ADJ
ejpam-4922	28	45	operator	operator	NOUN
ejpam-4922	28	46	that	that	PRON
ejpam-4922	28	47	can	can	AUX
ejpam-4922	28	48	represent	represent	VERB
ejpam-4922	28	49	processes	process	NOUN
ejpam-4922	28	50	following	follow	VERB
ejpam-4922	28	51	the	the	DET
ejpam-4922	28	52	power	power	NOUN
ejpam-4922	28	53	law	law	NOUN
ejpam-4922	28	54	to	to	PART
ejpam-4922	28	55	capture	capture	VERB
ejpam-4922	28	56	the	the	DET
ejpam-4922	28	57	memory	memory	NOUN
ejpam-4922	28	58	effect	effect	NOUN
ejpam-4922	28	59	,	,	PUNCT
ejpam-4922	28	60	after	after	ADP
ejpam-4922	28	61	which	which	PRON
ejpam-4922	28	62	the	the	DET
ejpam-4922	28	63	numerical	numerical	ADJ
ejpam-4922	28	64	analysis	analysis	NOUN
ejpam-4922	28	65	was	be	AUX
ejpam-4922	28	66	carried	carry	VERB
ejpam-4922	28	67	out	out	ADP
ejpam-4922	28	68	using	use	VERB
ejpam-4922	28	69	the	the	DET
ejpam-4922	28	70	caputo	caputo	PROPN
ejpam-4922	28	71	fractional	fractional	ADJ
ejpam-4922	28	72	operator	operator	NOUN
ejpam-4922	28	73	,	,	PUNCT
ejpam-4922	28	74	and	and	CCONJ
ejpam-4922	28	75	numerical	numerical	ADJ
ejpam-4922	28	76	solutions	solution	NOUN
ejpam-4922	28	77	were	be	AUX
ejpam-4922	28	78	obtained	obtain	VERB
ejpam-4922	28	79	.	.	PUNCT
ejpam-4922	29	1	[	[	X
ejpam-4922	29	2	13	13	NUM
ejpam-4922	29	3	]	]	PUNCT
ejpam-4922	29	4	presented	present	VERB
ejpam-4922	29	5	a	a	DET
ejpam-4922	29	6	model	model	NOUN
ejpam-4922	29	7	of	of	ADP
ejpam-4922	29	8	groundwater	groundwater	NOUN
ejpam-4922	29	9	dynamics	dynamic	NOUN
ejpam-4922	29	10	under	under	ADP
ejpam-4922	29	11	stationary	stationary	ADJ
ejpam-4922	29	12	flow	flow	NOUN
ejpam-4922	29	13	and	and	CCONJ
ejpam-4922	29	14	solved	solve	VERB
ejpam-4922	29	15	the	the	DET
ejpam-4922	29	16	developed	develop	VERB
ejpam-4922	29	17	mathematical	mathematical	ADJ
ejpam-4922	29	18	model	model	NOUN
ejpam-4922	29	19	using	use	VERB
ejpam-4922	29	20	the	the	DET
ejpam-4922	29	21	finite	finite	ADJ
ejpam-4922	29	22	difference	difference	NOUN
ejpam-4922	29	23	method	method	NOUN
ejpam-4922	29	24	,	,	PUNCT
ejpam-4922	29	25	and	and	CCONJ
ejpam-4922	29	26	an	an	DET
ejpam-4922	29	27	application	application	NOUN
ejpam-4922	29	28	on	on	ADP
ejpam-4922	29	29	the	the	DET
ejpam-4922	29	30	specific	specific	ADJ
ejpam-4922	29	31	study	study	NOUN
ejpam-4922	29	32	area	area	NOUN
ejpam-4922	29	33	of	of	ADP
ejpam-4922	29	34	the	the	DET
ejpam-4922	29	35	ayamonte	ayamonte	NOUN
ejpam-4922	29	36	-	-	PUNCT
ejpam-4922	29	37	huelva	huelva	NOUN
ejpam-4922	29	38	aquifer	aquifer	NOUN
ejpam-4922	29	39	in	in	ADP
ejpam-4922	29	40	spain	spain	PROPN
ejpam-4922	29	41	was	be	AUX
ejpam-4922	29	42	performed	perform	VERB
ejpam-4922	29	43	.	.	PUNCT
ejpam-4922	30	1	[	[	X
ejpam-4922	30	2	5	5	NUM
ejpam-4922	30	3	]	]	PUNCT
ejpam-4922	30	4	developed	develop	VERB
ejpam-4922	30	5	a	a	DET
ejpam-4922	30	6	novel	novel	ADJ
ejpam-4922	30	7	numerical	numerical	ADJ
ejpam-4922	30	8	model	model	NOUN
ejpam-4922	30	9	in	in	ADP
ejpam-4922	30	10	order	order	NOUN
ejpam-4922	30	11	to	to	PART
ejpam-4922	30	12	calculate	calculate	VERB
ejpam-4922	30	13	the	the	DET
ejpam-4922	30	14	behavior	behavior	NOUN
ejpam-4922	30	15	of	of	ADP
ejpam-4922	30	16	unsteady	unsteady	ADJ
ejpam-4922	30	17	,	,	PUNCT
ejpam-4922	30	18	one	one	NUM
ejpam-4922	30	19	-	-	PUNCT
ejpam-4922	30	20	dimensional	dimensional	ADJ
ejpam-4922	30	21	groundwater	groundwater	NOUN
ejpam-4922	30	22	flow	flow	NOUN
ejpam-4922	30	23	using	use	VERB
ejpam-4922	30	24	the	the	DET
ejpam-4922	30	25	finite	finite	ADJ
ejpam-4922	30	26	volume	volume	NOUN
ejpam-4922	30	27	method	method	NOUN
ejpam-4922	30	28	.	.	PUNCT
ejpam-4922	31	1	various	various	ADJ
ejpam-4922	31	2	scenarios	scenario	NOUN
ejpam-4922	31	3	for	for	ADP
ejpam-4922	31	4	drainage	drainage	NOUN
ejpam-4922	31	5	and	and	CCONJ
ejpam-4922	31	6	recession	recession	NOUN
ejpam-4922	31	7	from	from	ADP
ejpam-4922	31	8	an	an	DET
ejpam-4922	31	9	unconfined	unconfined	ADJ
ejpam-4922	31	10	aquifer	aquifer	NOUN
ejpam-4922	31	11	,	,	PUNCT
ejpam-4922	31	12	as	as	ADV
ejpam-4922	31	13	well	well	ADV
ejpam-4922	31	14	as	as	ADP
ejpam-4922	31	15	water	water	NOUN
ejpam-4922	31	16	table	table	NOUN
ejpam-4922	31	17	fluctuations	fluctuation	NOUN
ejpam-4922	31	18	above	above	ADP
ejpam-4922	31	19	an	an	DET
ejpam-4922	31	20	inclined	inclined	ADJ
ejpam-4922	31	21	leaky	leaky	ADJ
ejpam-4922	31	22	layer	layer	NOUN
ejpam-4922	31	23	due	due	ADP
ejpam-4922	31	24	to	to	PART
ejpam-4922	31	25	ditch	ditch	NOUN
ejpam-4922	31	26	recharge	recharge	NOUN
ejpam-4922	31	27	with	with	ADP
ejpam-4922	31	28	a	a	DET
ejpam-4922	31	29	constant	constant	ADJ
ejpam-4922	31	30	and	and	CCONJ
ejpam-4922	31	31	variable	variable	ADJ
ejpam-4922	31	32	upper	upper	ADJ
ejpam-4922	31	33	boundary	boundary	ADJ
ejpam-4922	31	34	condition	condition	NOUN
ejpam-4922	31	35	,	,	PUNCT
ejpam-4922	31	36	were	be	AUX
ejpam-4922	31	37	performed	perform	VERB
ejpam-4922	31	38	.	.	PUNCT
ejpam-4922	32	1	the	the	DET
ejpam-4922	32	2	computed	compute	VERB
ejpam-4922	32	3	results	result	NOUN
ejpam-4922	32	4	of	of	ADP
ejpam-4922	32	5	the	the	DET
ejpam-4922	32	6	explicit	explicit	ADJ
ejpam-4922	32	7	and	and	CCONJ
ejpam-4922	32	8	implicit	implicit	ADJ
ejpam-4922	32	9	procedures	procedure	NOUN
ejpam-4922	32	10	were	be	AUX
ejpam-4922	32	11	in	in	ADP
ejpam-4922	32	12	good	good	ADJ
ejpam-4922	32	13	agreement	agreement	NOUN
ejpam-4922	32	14	with	with	ADP
ejpam-4922	32	15	the	the	DET
ejpam-4922	32	16	findings	finding	NOUN
ejpam-4922	32	17	of	of	ADP
ejpam-4922	32	18	analytical	analytical	ADJ
ejpam-4922	32	19	approaches	approach	NOUN
ejpam-4922	32	20	and	and	CCONJ
ejpam-4922	32	21	laboratory	laboratory	NOUN
ejpam-4922	32	22	tests	test	NOUN
ejpam-4922	32	23	.	.	PUNCT
ejpam-4922	33	1	[	[	X
ejpam-4922	33	2	14	14	NUM
ejpam-4922	33	3	]	]	PUNCT
ejpam-4922	33	4	also	also	ADV
ejpam-4922	33	5	created	create	VERB
ejpam-4922	33	6	a	a	DET
ejpam-4922	33	7	thorough	thorough	ADJ
ejpam-4922	33	8	analytical	analytical	ADJ
ejpam-4922	33	9	approach	approach	NOUN
ejpam-4922	33	10	to	to	ADP
ejpam-4922	33	11	figuring	figure	VERB
ejpam-4922	33	12	out	out	ADP
ejpam-4922	33	13	how	how	SCONJ
ejpam-4922	33	14	different	different	ADJ
ejpam-4922	33	15	rainfall	rainfall	NOUN
ejpam-4922	33	16	recharge	recharge	VERB
ejpam-4922	33	17	rates	rate	NOUN
ejpam-4922	33	18	might	might	AUX
ejpam-4922	33	19	affect	affect	VERB
ejpam-4922	33	20	groundwater	groundwater	NOUN
ejpam-4922	33	21	flow	flow	NOUN
ejpam-4922	33	22	in	in	ADP
ejpam-4922	33	23	an	an	DET
ejpam-4922	33	24	unconfined	unconfined	ADJ
ejpam-4922	33	25	sloping	sloping	NOUN
ejpam-4922	33	26	aquifer	aquifer	NOUN
ejpam-4922	33	27	.	.	PUNCT
ejpam-4922	34	1	the	the	DET
ejpam-4922	34	2	beginning	begin	VERB
ejpam-4922	34	3	water	water	NOUN
ejpam-4922	34	4	level	level	NOUN
ejpam-4922	34	5	was	be	AUX
ejpam-4922	34	6	parallel	parallel	ADJ
ejpam-4922	34	7	to	to	ADP
ejpam-4922	34	8	the	the	DET
ejpam-4922	34	9	impervious	impervious	ADJ
ejpam-4922	34	10	bottom	bottom	NOUN
ejpam-4922	34	11	of	of	ADP
ejpam-4922	34	12	a	a	DET
ejpam-4922	34	13	gentle	gentle	ADJ
ejpam-4922	34	14	slope	slope	NOUN
ejpam-4922	34	15	,	,	PUNCT
ejpam-4922	34	16	and	and	CCONJ
ejpam-4922	34	17	the	the	DET
ejpam-4922	34	18	unconfined	unconfined	ADJ
ejpam-4922	34	19	aquifer	aquifer	NOUN
ejpam-4922	34	20	’s	’s	PART
ejpam-4922	34	21	domain	domain	NOUN
ejpam-4922	34	22	was	be	AUX
ejpam-4922	34	23	considered	consider	VERB
ejpam-4922	34	24	to	to	PART
ejpam-4922	34	25	be	be	AUX
ejpam-4922	34	26	semi	semi	ADJ
ejpam-4922	34	27	-	-	ADJ
ejpam-4922	34	28	infinite	infinite	ADJ
ejpam-4922	34	29	with	with	ADP
ejpam-4922	34	30	an	an	DET
ejpam-4922	34	31	impervious	impervious	ADJ
ejpam-4922	34	32	bottom	bottom	ADJ
ejpam-4922	34	33	base	base	NOUN
ejpam-4922	34	34	.	.	PUNCT
ejpam-4922	35	1	the	the	DET
ejpam-4922	35	2	results	result	NOUN
ejpam-4922	35	3	of	of	ADP
ejpam-4922	35	4	the	the	DET
ejpam-4922	35	5	given	give	VERB
ejpam-4922	35	6	analytical	analytical	ADJ
ejpam-4922	35	7	solution	solution	NOUN
ejpam-4922	35	8	were	be	AUX
ejpam-4922	35	9	compared	compare	VERB
ejpam-4922	35	10	to	to	ADP
ejpam-4922	35	11	c.	c.	PROPN
ejpam-4922	35	12	j.	j.	PROPN
ejpam-4922	35	13	itoua	itoua	PROPN
ejpam-4922	35	14	-	-	PUNCT
ejpam-4922	35	15	tsele	tsele	NOUN
ejpam-4922	35	16	,	,	PUNCT
ejpam-4922	35	17	a.	a.	PROPN
ejpam-4922	35	18	f.	f.	PROPN
ejpam-4922	35	19	ouassissou	ouassissou	PROPN
ejpam-4922	35	20	/	/	SYM
ejpam-4922	35	21	eur	eur	PROPN
ejpam-4922	35	22	.	.	PUNCT
ejpam-4922	36	1	j.	j.	PROPN
ejpam-4922	36	2	pure	pure	PROPN
ejpam-4922	36	3	appl	appl	PROPN
ejpam-4922	36	4	.	.	PROPN
ejpam-4922	36	5	math	math	PROPN
ejpam-4922	36	6	,	,	PUNCT
ejpam-4922	36	7	16	16	NUM
ejpam-4922	36	8	(	(	PUNCT
ejpam-4922	36	9	4	4	NUM
ejpam-4922	36	10	)	)	PUNCT
ejpam-4922	36	11	(	(	PUNCT
ejpam-4922	36	12	2023	2023	NUM
ejpam-4922	36	13	)	)	PUNCT
ejpam-4922	36	14	,	,	PUNCT
ejpam-4922	36	15	2169	2169	NUM
ejpam-4922	36	16	-	-	SYM
ejpam-4922	36	17	2186	2186	NUM
ejpam-4922	36	18	2171	2171	NUM
ejpam-4922	36	19	those	those	PRON
ejpam-4922	36	20	from	from	ADP
ejpam-4922	36	21	earlier	early	ADJ
ejpam-4922	36	22	studies	study	NOUN
ejpam-4922	36	23	,	,	PUNCT
ejpam-4922	36	24	and	and	CCONJ
ejpam-4922	36	25	the	the	DET
ejpam-4922	36	26	analytical	analytical	ADJ
ejpam-4922	36	27	solution	solution	NOUN
ejpam-4922	36	28	’s	’s	PART
ejpam-4922	36	29	applicability	applicability	NOUN
ejpam-4922	36	30	was	be	AUX
ejpam-4922	36	31	confirmed	confirm	VERB
ejpam-4922	36	32	using	use	VERB
ejpam-4922	36	33	data	datum	NOUN
ejpam-4922	36	34	from	from	ADP
ejpam-4922	36	35	a	a	DET
ejpam-4922	36	36	groundwater	groundwater	NOUN
ejpam-4922	36	37	station	station	NOUN
ejpam-4922	36	38	in	in	ADP
ejpam-4922	36	39	the	the	DET
ejpam-4922	36	40	dali	dali	PROPN
ejpam-4922	36	41	district	district	PROPN
ejpam-4922	36	42	of	of	ADP
ejpam-4922	36	43	taichung	taichung	PROPN
ejpam-4922	36	44	city	city	PROPN
ejpam-4922	36	45	,	,	PUNCT
ejpam-4922	36	46	taiwan	taiwan	PROPN
ejpam-4922	36	47	,	,	PUNCT
ejpam-4922	36	48	collected	collect	VERB
ejpam-4922	36	49	in	in	ADP
ejpam-4922	36	50	2012	2012	NUM
ejpam-4922	36	51	and	and	CCONJ
ejpam-4922	36	52	2013	2013	NUM
ejpam-4922	36	53	.	.	PUNCT
ejpam-4922	37	1	the	the	DET
ejpam-4922	37	2	aforementioned	aforementioned	ADJ
ejpam-4922	37	3	study	study	NOUN
ejpam-4922	37	4	models	model	NOUN
ejpam-4922	37	5	groundwater	groundwater	NOUN
ejpam-4922	37	6	utilizing	utilize	VERB
ejpam-4922	37	7	the	the	DET
ejpam-4922	37	8	steady	steady	ADJ
ejpam-4922	37	9	conditions	condition	NOUN
ejpam-4922	37	10	in	in	ADP
ejpam-4922	37	11	some	some	DET
ejpam-4922	37	12	specific	specific	ADJ
ejpam-4922	37	13	study	study	NOUN
ejpam-4922	37	14	regions	region	NOUN
ejpam-4922	37	15	,	,	PUNCT
ejpam-4922	37	16	while	while	SCONJ
ejpam-4922	37	17	the	the	DET
ejpam-4922	37	18	other	other	ADJ
ejpam-4922	37	19	study	study	NOUN
ejpam-4922	37	20	used	use	VERB
ejpam-4922	37	21	unsteady	unsteady	ADJ
ejpam-4922	37	22	groundwater	groundwater	NOUN
ejpam-4922	37	23	in	in	ADP
ejpam-4922	37	24	one	one	NUM
ejpam-4922	37	25	dimension	dimension	NOUN
ejpam-4922	37	26	.	.	PUNCT
ejpam-4922	38	1	in	in	ADP
ejpam-4922	38	2	this	this	DET
ejpam-4922	38	3	paper	paper	NOUN
ejpam-4922	38	4	,	,	PUNCT
ejpam-4922	38	5	the	the	DET
ejpam-4922	38	6	hydraulic	hydraulic	ADJ
ejpam-4922	38	7	behavior	behavior	NOUN
ejpam-4922	38	8	in	in	ADP
ejpam-4922	38	9	a	a	DET
ejpam-4922	38	10	heterogeneous	heterogeneous	ADJ
ejpam-4922	38	11	isotropic	isotropic	NOUN
ejpam-4922	38	12	confined	confine	VERB
ejpam-4922	38	13	aquifer	aquifer	NOUN
ejpam-4922	38	14	was	be	AUX
ejpam-4922	38	15	described	describe	VERB
ejpam-4922	38	16	by	by	ADP
ejpam-4922	38	17	a	a	DET
ejpam-4922	38	18	vertically	vertically	ADV
ejpam-4922	38	19	integrated	integrate	VERB
ejpam-4922	38	20	equation	equation	NOUN
ejpam-4922	38	21	,	,	PUNCT
ejpam-4922	38	22	and	and	CCONJ
ejpam-4922	38	23	the	the	DET
ejpam-4922	38	24	analytical	analytical	ADJ
ejpam-4922	38	25	solution	solution	NOUN
ejpam-4922	38	26	was	be	AUX
ejpam-4922	38	27	carried	carry	VERB
ejpam-4922	38	28	out	out	ADP
ejpam-4922	38	29	using	use	VERB
ejpam-4922	38	30	the	the	DET
ejpam-4922	38	31	two	two	NUM
ejpam-4922	38	32	-	-	PUNCT
ejpam-4922	38	33	dimensional	dimensional	ADJ
ejpam-4922	38	34	unstructured	unstructured	ADJ
ejpam-4922	38	35	finite	finite	NOUN
ejpam-4922	38	36	volume	volume	NOUN
ejpam-4922	38	37	approach	approach	NOUN
ejpam-4922	38	38	,	,	PUNCT
ejpam-4922	38	39	the	the	DET
ejpam-4922	38	40	developed	develop	VERB
ejpam-4922	38	41	mathematical	mathematical	ADJ
ejpam-4922	38	42	equation	equation	NOUN
ejpam-4922	38	43	will	will	AUX
ejpam-4922	38	44	be	be	AUX
ejpam-4922	38	45	used	use	VERB
ejpam-4922	38	46	to	to	PART
ejpam-4922	38	47	describe	describe	VERB
ejpam-4922	38	48	the	the	DET
ejpam-4922	38	49	flow	flow	NOUN
ejpam-4922	38	50	of	of	ADP
ejpam-4922	38	51	groundwater	groundwater	NOUN
ejpam-4922	38	52	and	and	CCONJ
ejpam-4922	38	53	the	the	DET
ejpam-4922	38	54	significance	significance	NOUN
ejpam-4922	38	55	of	of	ADP
ejpam-4922	38	56	the	the	DET
ejpam-4922	38	57	results	result	NOUN
ejpam-4922	38	58	of	of	ADP
ejpam-4922	38	59	some	some	DET
ejpam-4922	38	60	physical	physical	ADJ
ejpam-4922	38	61	phenomena	phenomenon	NOUN
ejpam-4922	38	62	considered	consider	VERB
ejpam-4922	38	63	in	in	ADP
ejpam-4922	38	64	this	this	DET
ejpam-4922	38	65	study	study	NOUN
ejpam-4922	38	66	are	be	AUX
ejpam-4922	38	67	the	the	DET
ejpam-4922	38	68	drawdown	drawdown	NOUN
ejpam-4922	38	69	and	and	CCONJ
ejpam-4922	38	70	water	water	NOUN
ejpam-4922	38	71	table	table	NOUN
ejpam-4922	38	72	phenomena	phenomenon	NOUN
ejpam-4922	38	73	.	.	PUNCT
ejpam-4922	39	1	steps	step	NOUN
ejpam-4922	39	2	to	to	PART
ejpam-4922	39	3	building	build	VERB
ejpam-4922	39	4	a	a	DET
ejpam-4922	39	5	groundwater	groundwater	NOUN
ejpam-4922	39	6	model	model	NOUN
ejpam-4922	39	7	include	include	VERB
ejpam-4922	39	8	:	:	PUNCT
ejpam-4922	39	9	•	•	X
ejpam-4922	39	10	define	define	VERB
ejpam-4922	39	11	the	the	DET
ejpam-4922	39	12	domain	domain	NOUN
ejpam-4922	39	13	of	of	ADP
ejpam-4922	39	14	study	study	NOUN
ejpam-4922	39	15	;	;	PUNCT
ejpam-4922	39	16	•	•	ADV
ejpam-4922	39	17	construct	construct	VERB
ejpam-4922	39	18	a	a	DET
ejpam-4922	39	19	conceptual	conceptual	ADJ
ejpam-4922	39	20	model	model	NOUN
ejpam-4922	39	21	of	of	ADP
ejpam-4922	39	22	the	the	DET
ejpam-4922	39	23	groundwater	groundwater	NOUN
ejpam-4922	39	24	(	(	PUNCT
ejpam-4922	39	25	the	the	DET
ejpam-4922	39	26	input	input	NOUN
ejpam-4922	39	27	field	field	NOUN
ejpam-4922	39	28	data	datum	NOUN
ejpam-4922	39	29	)	)	PUNCT
ejpam-4922	39	30	;	;	PUNCT
ejpam-4922	39	31	•	•	NUM
ejpam-4922	39	32	method	method	NOUN
ejpam-4922	39	33	of	of	ADP
ejpam-4922	39	34	solutions	solution	NOUN
ejpam-4922	39	35	;	;	PUNCT
ejpam-4922	39	36	•	•	NUM
ejpam-4922	39	37	calibration	calibration	NOUN
ejpam-4922	39	38	;	;	PUNCT
ejpam-4922	39	39	•	•	X
ejpam-4922	39	40	use	use	VERB
ejpam-4922	39	41	the	the	DET
ejpam-4922	39	42	calibrated	calibrate	VERB
ejpam-4922	39	43	model	model	NOUN
ejpam-4922	39	44	to	to	PART
ejpam-4922	39	45	make	make	VERB
ejpam-4922	39	46	predictions	prediction	NOUN
ejpam-4922	39	47	;	;	PUNCT
ejpam-4922	40	1	•	•	NUM
ejpam-4922	40	2	visualize	visualize	VERB
ejpam-4922	40	3	and	and	CCONJ
ejpam-4922	40	4	interpret	interpret	VERB
ejpam-4922	40	5	the	the	DET
ejpam-4922	40	6	model	model	NOUN
ejpam-4922	40	7	results	result	NOUN
ejpam-4922	40	8	.	.	PUNCT
ejpam-4922	41	1	2	2	X
ejpam-4922	41	2	.	.	X
ejpam-4922	41	3	dupuit	dupuit	PROPN
ejpam-4922	41	4	’s	’s	PART
ejpam-4922	41	5	assumption	assumption	NOUN
ejpam-4922	41	6	for	for	ADP
ejpam-4922	41	7	confined	confine	VERB
ejpam-4922	41	8	aquifer	aquifer	NOUN
ejpam-4922	41	9	flow	flow	NOUN
ejpam-4922	41	10	in	in	ADP
ejpam-4922	41	11	isotropic	isotropic	ADJ
ejpam-4922	41	12	porous	porous	ADJ
ejpam-4922	41	13	medium	medium	NOUN
ejpam-4922	41	14	in	in	ADP
ejpam-4922	41	15	order	order	NOUN
ejpam-4922	41	16	to	to	PART
ejpam-4922	41	17	obtain	obtain	VERB
ejpam-4922	41	18	the	the	DET
ejpam-4922	41	19	saturated	saturate	VERB
ejpam-4922	41	20	flow	flow	NOUN
ejpam-4922	41	21	equation	equation	NOUN
ejpam-4922	41	22	for	for	ADP
ejpam-4922	41	23	a	a	DET
ejpam-4922	41	24	confined	confine	VERB
ejpam-4922	41	25	aquifer	aquifer	NOUN
ejpam-4922	41	26	in	in	ADP
ejpam-4922	41	27	two	two	NUM
ejpam-4922	41	28	-	-	PUNCT
ejpam-4922	41	29	dimensional	dimensional	ADJ
ejpam-4922	41	30	space	space	NOUN
ejpam-4922	41	31	,	,	PUNCT
ejpam-4922	41	32	we	we	PRON
ejpam-4922	41	33	introduce	introduce	VERB
ejpam-4922	41	34	dupuit	dupuit	NOUN
ejpam-4922	41	35	’s	’s	PART
ejpam-4922	41	36	assumption	assumption	NOUN
ejpam-4922	41	37	.	.	PUNCT
ejpam-4922	42	1	the	the	DET
ejpam-4922	42	2	assumption	assumption	NOUN
ejpam-4922	42	3	is	be	AUX
ejpam-4922	42	4	that	that	SCONJ
ejpam-4922	42	5	the	the	DET
ejpam-4922	42	6	flow	flow	NOUN
ejpam-4922	42	7	is	be	AUX
ejpam-4922	42	8	essentially	essentially	ADV
ejpam-4922	42	9	considered	consider	VERB
ejpam-4922	42	10	to	to	PART
ejpam-4922	42	11	be	be	AUX
ejpam-4922	42	12	on	on	ADP
ejpam-4922	42	13	a	a	DET
ejpam-4922	42	14	horizontal	horizontal	ADJ
ejpam-4922	42	15	plane	plane	NOUN
ejpam-4922	42	16	,	,	PUNCT
ejpam-4922	42	17	say	say	VERB
ejpam-4922	42	18	the	the	DET
ejpam-4922	42	19	(	(	PUNCT
ejpam-4922	42	20	x	x	NOUN
ejpam-4922	42	21	,	,	PUNCT
ejpam-4922	42	22	y)-plane	y)-plane	NOUN
ejpam-4922	42	23	,	,	PUNCT
ejpam-4922	42	24	thus	thus	ADV
ejpam-4922	42	25	:	:	PUNCT
ejpam-4922	42	26	∂	∂	NUM
ejpam-4922	42	27	∂z	∂z	PROPN
ejpam-4922	42	28	(	(	PUNCT
ejpam-4922	42	29	kzz	kzz	PROPN
ejpam-4922	42	30	∂h	∂h	PROPN
ejpam-4922	42	31	∂z	∂z	PROPN
ejpam-4922	42	32	)	)	PUNCT
ejpam-4922	43	1	=	=	PUNCT
ejpam-4922	43	2	0	0	NUM
ejpam-4922	43	3	,	,	PUNCT
ejpam-4922	43	4	(	(	PUNCT
ejpam-4922	43	5	1	1	X
ejpam-4922	43	6	)	)	PUNCT
ejpam-4922	43	7	to	to	PART
ejpam-4922	43	8	proceed	proceed	VERB
ejpam-4922	43	9	we	we	PRON
ejpam-4922	43	10	need	need	VERB
ejpam-4922	43	11	an	an	DET
ejpam-4922	43	12	expression	expression	NOUN
ejpam-4922	43	13	for	for	ADP
ejpam-4922	43	14	the	the	DET
ejpam-4922	43	15	vector	vector	NOUN
ejpam-4922	43	16	of	of	ADP
ejpam-4922	43	17	discharge	discharge	NOUN
ejpam-4922	43	18	per	per	ADP
ejpam-4922	43	19	unit	unit	NOUN
ejpam-4922	43	20	width	width	NOUN
ejpam-4922	43	21	,	,	PUNCT
ejpam-4922	43	22	through	through	ADP
ejpam-4922	43	23	the	the	DET
ejpam-4922	43	24	entire	entire	ADJ
ejpam-4922	43	25	thickness	thickness	NOUN
ejpam-4922	43	26	of	of	ADP
ejpam-4922	43	27	the	the	DET
ejpam-4922	43	28	aquifer	aquifer	NOUN
ejpam-4922	43	29	,	,	PUNCT
ejpam-4922	43	30	q	q	NOUN
ejpam-4922	43	31	′	′	NUM
ejpam-4922	43	32	(	(	PUNCT
ejpam-4922	43	33	x	x	NOUN
ejpam-4922	43	34	,	,	PUNCT
ejpam-4922	43	35	y	y	PROPN
ejpam-4922	43	36	)	)	PUNCT
ejpam-4922	43	37	.	.	PUNCT
ejpam-4922	44	1	here	here	ADV
ejpam-4922	44	2	,	,	PUNCT
ejpam-4922	44	3	width	width	VERB
ejpam-4922	44	4	is	be	AUX
ejpam-4922	44	5	a	a	DET
ejpam-4922	44	6	line	line	NOUN
ejpam-4922	44	7	segment	segment	NOUN
ejpam-4922	44	8	in	in	ADP
ejpam-4922	44	9	the	the	DET
ejpam-4922	44	10	plane	plane	NOUN
ejpam-4922	44	11	,	,	PUNCT
ejpam-4922	44	12	and	and	CCONJ
ejpam-4922	44	13	the	the	DET
ejpam-4922	44	14	discharge	discharge	NOUN
ejpam-4922	44	15	is	be	AUX
ejpam-4922	44	16	normal	normal	ADJ
ejpam-4922	44	17	to	to	ADP
ejpam-4922	44	18	that	that	DET
ejpam-4922	44	19	line	line	NOUN
ejpam-4922	44	20	.	.	PUNCT
ejpam-4922	45	1	moreover	moreover	ADV
ejpam-4922	45	2	,	,	PUNCT
ejpam-4922	45	3	to	to	PART
ejpam-4922	45	4	obtain	obtain	VERB
ejpam-4922	45	5	the	the	DET
ejpam-4922	45	6	saturated	saturate	VERB
ejpam-4922	45	7	flow	flow	NOUN
ejpam-4922	45	8	equation	equation	NOUN
ejpam-4922	45	9	we	we	PRON
ejpam-4922	45	10	use	use	VERB
ejpam-4922	45	11	the	the	DET
ejpam-4922	45	12	following	following	ADJ
ejpam-4922	45	13	assumptions	assumption	NOUN
ejpam-4922	45	14	:	:	PUNCT
ejpam-4922	45	15	(	(	PUNCT
ejpam-4922	45	16	a-1	a-1	PROPN
ejpam-4922	45	17	)	)	PUNCT
ejpam-4922	45	18	the	the	DET
ejpam-4922	45	19	aquifer	aquifer	NOUN
ejpam-4922	45	20	is	be	AUX
ejpam-4922	45	21	a	a	DET
ejpam-4922	45	22	horizontal	horizontal	ADJ
ejpam-4922	45	23	,	,	PUNCT
ejpam-4922	45	24	inhomogeneous	inhomogeneous	ADJ
ejpam-4922	45	25	isotropic	isotropic	NOUN
ejpam-4922	45	26	confined	confine	VERB
ejpam-4922	45	27	aquifer	aquifer	NOUN
ejpam-4922	45	28	;	;	PUNCT
ejpam-4922	45	29	(	(	PUNCT
ejpam-4922	45	30	a-2	a-2	ADJ
ejpam-4922	45	31	)	)	PUNCT
ejpam-4922	45	32	fluid	fluid	NOUN
ejpam-4922	45	33	is	be	AUX
ejpam-4922	45	34	slightly	slightly	ADV
ejpam-4922	45	35	compressible	compressible	ADJ
ejpam-4922	45	36	and	and	CCONJ
ejpam-4922	45	37	the	the	DET
ejpam-4922	45	38	porous	porous	ADJ
ejpam-4922	45	39	medium	medium	NOUN
ejpam-4922	45	40	is	be	AUX
ejpam-4922	45	41	isotropic	isotropic	NOUN
ejpam-4922	45	42	;	;	PUNCT
ejpam-4922	45	43	(	(	PUNCT
ejpam-4922	45	44	a-3	a-3	NOUN
ejpam-4922	45	45	)	)	PUNCT
ejpam-4922	45	46	the	the	DET
ejpam-4922	45	47	bottom	bottom	ADJ
ejpam-4922	45	48	plan	plan	NOUN
ejpam-4922	45	49	of	of	ADP
ejpam-4922	45	50	the	the	DET
ejpam-4922	45	51	aquifer	aquifer	NOUN
ejpam-4922	45	52	is	be	AUX
ejpam-4922	45	53	essentially	essentially	ADV
ejpam-4922	45	54	horizontal	horizontal	ADJ
ejpam-4922	45	55	;	;	PUNCT
ejpam-4922	45	56	(	(	PUNCT
ejpam-4922	45	57	a-4	a-4	NOUN
ejpam-4922	45	58	)	)	PUNCT
ejpam-4922	45	59	the	the	DET
ejpam-4922	45	60	confined	confine	VERB
ejpam-4922	45	61	aquifer	aquifer	NOUN
ejpam-4922	45	62	has	have	VERB
ejpam-4922	45	63	elastic	elastic	ADJ
ejpam-4922	45	64	deformation	deformation	NOUN
ejpam-4922	45	65	resulting	result	VERB
ejpam-4922	45	66	from	from	ADP
ejpam-4922	45	67	changes	change	NOUN
ejpam-4922	45	68	in	in	ADP
ejpam-4922	45	69	hydraulic	hydraulic	ADJ
ejpam-4922	45	70	head	head	NOUN
ejpam-4922	45	71	in	in	ADP
ejpam-4922	45	72	the	the	DET
ejpam-4922	45	73	vertical	vertical	ADJ
ejpam-4922	45	74	direction	direction	NOUN
ejpam-4922	45	75	z	z	PROPN
ejpam-4922	45	76	only	only	ADV
ejpam-4922	45	77	;	;	PUNCT
ejpam-4922	45	78	c.	c.	PROPN
ejpam-4922	45	79	j.	j.	PROPN
ejpam-4922	45	80	itoua	itoua	PROPN
ejpam-4922	45	81	-	-	PUNCT
ejpam-4922	45	82	tsele	tsele	NOUN
ejpam-4922	45	83	,	,	PUNCT
ejpam-4922	45	84	a.	a.	PROPN
ejpam-4922	45	85	f.	f.	PROPN
ejpam-4922	45	86	ouassissou	ouassissou	PROPN
ejpam-4922	45	87	/	/	SYM
ejpam-4922	45	88	eur	eur	PROPN
ejpam-4922	45	89	.	.	PUNCT
ejpam-4922	46	1	j.	j.	PROPN
ejpam-4922	46	2	pure	pure	PROPN
ejpam-4922	46	3	appl	appl	PROPN
ejpam-4922	46	4	.	.	PROPN
ejpam-4922	46	5	math	math	PROPN
ejpam-4922	46	6	,	,	PUNCT
ejpam-4922	46	7	16	16	NUM
ejpam-4922	46	8	(	(	PUNCT
ejpam-4922	46	9	4	4	NUM
ejpam-4922	46	10	)	)	PUNCT
ejpam-4922	46	11	(	(	PUNCT
ejpam-4922	46	12	2023	2023	NUM
ejpam-4922	46	13	)	)	PUNCT
ejpam-4922	46	14	,	,	PUNCT
ejpam-4922	46	15	2169	2169	NUM
ejpam-4922	46	16	-	-	SYM
ejpam-4922	46	17	2186	2186	NUM
ejpam-4922	46	18	2172	2172	NUM
ejpam-4922	46	19	(	(	PUNCT
ejpam-4922	46	20	a-5	a-5	PROPN
ejpam-4922	46	21	)	)	PUNCT
ejpam-4922	46	22	the	the	DET
ejpam-4922	46	23	hydraulic	hydraulic	ADJ
ejpam-4922	46	24	conductivity	conductivity	NOUN
ejpam-4922	46	25	and	and	CCONJ
ejpam-4922	46	26	the	the	DET
ejpam-4922	46	27	horizontal	horizontal	ADJ
ejpam-4922	46	28	components	component	NOUN
ejpam-4922	46	29	of	of	ADP
ejpam-4922	46	30	flow	flow	NOUN
ejpam-4922	46	31	are	be	AUX
ejpam-4922	46	32	uniform	uniform	ADJ
ejpam-4922	46	33	along	along	ADP
ejpam-4922	46	34	the	the	DET
ejpam-4922	46	35	entire	entire	ADJ
ejpam-4922	46	36	saturated	saturate	VERB
ejpam-4922	46	37	thickness	thickness	NOUN
ejpam-4922	46	38	of	of	ADP
ejpam-4922	46	39	the	the	DET
ejpam-4922	46	40	aquifer	aquifer	NOUN
ejpam-4922	46	41	;	;	PUNCT
ejpam-4922	46	42	(	(	PUNCT
ejpam-4922	46	43	a-6	a-6	NUM
ejpam-4922	46	44	)	)	PUNCT
ejpam-4922	46	45	darcy	darcy	PROPN
ejpam-4922	46	46	’s	’s	PART
ejpam-4922	46	47	law	law	NOUN
ejpam-4922	46	48	is	be	AUX
ejpam-4922	46	49	for	for	ADP
ejpam-4922	46	50	isotropic	isotropic	ADJ
ejpam-4922	46	51	porous	porous	ADJ
ejpam-4922	46	52	medium	medium	NOUN
ejpam-4922	46	53	;	;	PUNCT
ejpam-4922	46	54	(	(	PUNCT
ejpam-4922	46	55	a-7	a-7	PROPN
ejpam-4922	46	56	)	)	PUNCT
ejpam-4922	46	57	the	the	DET
ejpam-4922	46	58	slope	slope	NOUN
ejpam-4922	46	59	of	of	ADP
ejpam-4922	46	60	the	the	DET
ejpam-4922	46	61	water	water	NOUN
ejpam-4922	46	62	table	table	NOUN
ejpam-4922	46	63	is	be	AUX
ejpam-4922	46	64	small	small	ADJ
ejpam-4922	46	65	;	;	PUNCT
ejpam-4922	46	66	(	(	PUNCT
ejpam-4922	46	67	a-8	a-8	PROPN
ejpam-4922	46	68	)	)	PUNCT
ejpam-4922	46	69	sinks	sink	NOUN
ejpam-4922	46	70	and	and	CCONJ
ejpam-4922	46	71	sources	source	NOUN
ejpam-4922	46	72	are	be	AUX
ejpam-4922	46	73	present	present	ADJ
ejpam-4922	46	74	.	.	PUNCT
ejpam-4922	47	1	3	3	X
ejpam-4922	47	2	.	.	NOUN
ejpam-4922	47	3	mathematical	mathematical	ADJ
ejpam-4922	47	4	description	description	NOUN
ejpam-4922	47	5	of	of	ADP
ejpam-4922	47	6	groundwater	groundwater	NOUN
ejpam-4922	47	7	flow	flow	NOUN
ejpam-4922	47	8	3.1	3.1	NUM
ejpam-4922	47	9	.	.	PUNCT
ejpam-4922	48	1	hydraulic	hydraulic	ADJ
ejpam-4922	48	2	head	head	NOUN
ejpam-4922	48	3	the	the	DET
ejpam-4922	48	4	water	water	NOUN
ejpam-4922	48	5	in	in	ADP
ejpam-4922	48	6	groundwater	groundwater	NOUN
ejpam-4922	48	7	systems	system	NOUN
ejpam-4922	48	8	is	be	AUX
ejpam-4922	48	9	always	always	ADV
ejpam-4922	48	10	in	in	ADP
ejpam-4922	48	11	motion	motion	NOUN
ejpam-4922	48	12	,	,	PUNCT
ejpam-4922	48	13	namely	namely	ADV
ejpam-4922	48	14	water	water	NOUN
ejpam-4922	48	15	flows	flow	NOUN
ejpam-4922	48	16	from	from	ADP
ejpam-4922	48	17	high	high	ADJ
ejpam-4922	48	18	elevation	elevation	NOUN
ejpam-4922	48	19	to	to	ADP
ejpam-4922	48	20	low	low	ADJ
ejpam-4922	48	21	elevation	elevation	NOUN
ejpam-4922	48	22	,	,	PUNCT
ejpam-4922	48	23	which	which	PRON
ejpam-4922	48	24	is	be	AUX
ejpam-4922	48	25	one	one	NUM
ejpam-4922	48	26	of	of	ADP
ejpam-4922	48	27	the	the	DET
ejpam-4922	48	28	primary	primary	ADJ
ejpam-4922	48	29	topics	topic	NOUN
ejpam-4922	48	30	that	that	PRON
ejpam-4922	48	31	we	we	PRON
ejpam-4922	48	32	are	be	AUX
ejpam-4922	48	33	interested	interested	ADJ
ejpam-4922	48	34	in	in	ADP
ejpam-4922	48	35	in	in	ADP
ejpam-4922	48	36	this	this	DET
ejpam-4922	48	37	study	study	NOUN
ejpam-4922	48	38	.	.	PUNCT
ejpam-4922	49	1	in	in	ADP
ejpam-4922	49	2	order	order	NOUN
ejpam-4922	49	3	to	to	PART
ejpam-4922	49	4	understand	understand	VERB
ejpam-4922	49	5	flow	flow	NOUN
ejpam-4922	49	6	we	we	PRON
ejpam-4922	49	7	need	need	VERB
ejpam-4922	49	8	to	to	PART
ejpam-4922	49	9	understand	understand	VERB
ejpam-4922	49	10	how	how	SCONJ
ejpam-4922	49	11	to	to	PART
ejpam-4922	49	12	express	express	VERB
ejpam-4922	49	13	the	the	DET
ejpam-4922	49	14	energy	energy	NOUN
ejpam-4922	49	15	in	in	ADP
ejpam-4922	49	16	water	water	NOUN
ejpam-4922	49	17	,	,	PUNCT
ejpam-4922	49	18	the	the	DET
ejpam-4922	49	19	hydraulic	hydraulic	ADJ
ejpam-4922	49	20	head	head	NOUN
ejpam-4922	49	21	is	be	AUX
ejpam-4922	49	22	a	a	DET
ejpam-4922	49	23	crucial	crucial	ADJ
ejpam-4922	49	24	term	term	NOUN
ejpam-4922	49	25	to	to	PART
ejpam-4922	49	26	understand	understand	VERB
ejpam-4922	49	27	in	in	ADP
ejpam-4922	49	28	groundwater	groundwater	NOUN
ejpam-4922	49	29	.	.	PUNCT
ejpam-4922	50	1	hydraulic	hydraulic	ADJ
ejpam-4922	50	2	head	head	NOUN
ejpam-4922	50	3	is	be	AUX
ejpam-4922	50	4	a	a	DET
ejpam-4922	50	5	measurement	measurement	NOUN
ejpam-4922	50	6	of	of	ADP
ejpam-4922	50	7	water	water	NOUN
ejpam-4922	50	8	pressure	pressure	NOUN
ejpam-4922	50	9	or	or	CCONJ
ejpam-4922	50	10	energy	energy	NOUN
ejpam-4922	50	11	of	of	ADP
ejpam-4922	50	12	a	a	DET
ejpam-4922	50	13	body	body	NOUN
ejpam-4922	50	14	of	of	ADP
ejpam-4922	50	15	water	water	NOUN
ejpam-4922	50	16	above	above	ADP
ejpam-4922	50	17	a	a	DET
ejpam-4922	50	18	given	give	VERB
ejpam-4922	50	19	datum	datum	NOUN
ejpam-4922	50	20	,	,	PUNCT
ejpam-4922	50	21	or	or	CCONJ
ejpam-4922	50	22	in	in	ADP
ejpam-4922	50	23	other	other	ADJ
ejpam-4922	50	24	words	word	NOUN
ejpam-4922	50	25	,	,	PUNCT
ejpam-4922	50	26	the	the	DET
ejpam-4922	50	27	potential	potential	ADJ
ejpam-4922	50	28	energy	energy	NOUN
ejpam-4922	50	29	held	hold	VERB
ejpam-4922	50	30	inside	inside	ADP
ejpam-4922	50	31	a	a	DET
ejpam-4922	50	32	body	body	NOUN
ejpam-4922	50	33	of	of	ADP
ejpam-4922	50	34	water	water	NOUN
ejpam-4922	50	35	(	(	PUNCT
ejpam-4922	50	36	potential	potential	ADJ
ejpam-4922	50	37	energy	energy	NOUN
ejpam-4922	50	38	derived	derive	VERB
ejpam-4922	50	39	from	from	ADP
ejpam-4922	50	40	the	the	DET
ejpam-4922	50	41	gravitational	gravitational	ADJ
ejpam-4922	50	42	field	field	NOUN
ejpam-4922	50	43	’s	’s	PART
ejpam-4922	50	44	elevation	elevation	NOUN
ejpam-4922	50	45	of	of	ADP
ejpam-4922	50	46	water	water	NOUN
ejpam-4922	50	47	and	and	CCONJ
ejpam-4922	50	48	pressure	pressure	NOUN
ejpam-4922	50	49	head	head	NOUN
ejpam-4922	50	50	derived	derive	VERB
ejpam-4922	50	51	from	from	ADP
ejpam-4922	50	52	the	the	DET
ejpam-4922	50	53	fluid	fluid	ADJ
ejpam-4922	50	54	pressure	pressure	NOUN
ejpam-4922	50	55	distribution	distribution	NOUN
ejpam-4922	50	56	)	)	PUNCT
ejpam-4922	50	57	to	to	PART
ejpam-4922	50	58	move	move	VERB
ejpam-4922	50	59	(	(	PUNCT
ejpam-4922	50	60	see	see	VERB
ejpam-4922	50	61	figure	figure	NOUN
ejpam-4922	50	62	1	1	NUM
ejpam-4922	50	63	)	)	PUNCT
ejpam-4922	50	64	.	.	PUNCT
ejpam-4922	51	1	it	it	PRON
ejpam-4922	51	2	’s	’s	AUX
ejpam-4922	51	3	measured	measure	VERB
ejpam-4922	51	4	in	in	ADP
ejpam-4922	51	5	length	length	NOUN
ejpam-4922	51	6	units	unit	NOUN
ejpam-4922	51	7	.	.	PUNCT
ejpam-4922	52	1	the	the	DET
ejpam-4922	52	2	hydraulic	hydraulic	ADJ
ejpam-4922	52	3	head	head	NOUN
ejpam-4922	52	4	h	h	NOUN
ejpam-4922	52	5	is	be	AUX
ejpam-4922	52	6	defined	define	VERB
ejpam-4922	52	7	as	as	SCONJ
ejpam-4922	52	8	follows	follow	VERB
ejpam-4922	52	9	:	:	PUNCT
ejpam-4922	52	10	h	h	NOUN
ejpam-4922	52	11	=	=	PUNCT
ejpam-4922	53	1	p	p	X
ejpam-4922	53	2	ρ0	ρ0	PROPN
ejpam-4922	53	3	g	g	PROPN
ejpam-4922	53	4	+	+	PROPN
ejpam-4922	53	5	z	z	NOUN
ejpam-4922	53	6	(	(	PUNCT
ejpam-4922	53	7	2	2	NUM
ejpam-4922	53	8	)	)	PUNCT
ejpam-4922	53	9	where	where	SCONJ
ejpam-4922	53	10	z	z	NOUN
ejpam-4922	53	11	is	be	AUX
ejpam-4922	53	12	the	the	DET
ejpam-4922	53	13	elevation	elevation	NOUN
ejpam-4922	53	14	of	of	ADP
ejpam-4922	53	15	the	the	DET
ejpam-4922	53	16	point	point	NOUN
ejpam-4922	53	17	at	at	ADP
ejpam-4922	53	18	which	which	PRON
ejpam-4922	53	19	the	the	DET
ejpam-4922	53	20	piezometric	piezometric	ADJ
ejpam-4922	53	21	head	head	NOUN
ejpam-4922	53	22	is	be	AUX
ejpam-4922	53	23	being	be	AUX
ejpam-4922	53	24	considered	consider	VERB
ejpam-4922	53	25	,	,	PUNCT
ejpam-4922	53	26	above	above	ADP
ejpam-4922	53	27	some	some	DET
ejpam-4922	53	28	datum	datum	NOUN
ejpam-4922	53	29	level	level	NOUN
ejpam-4922	53	30	(	(	PUNCT
ejpam-4922	53	31	m	m	NOUN
ejpam-4922	53	32	)	)	PUNCT
ejpam-4922	53	33	,	,	PUNCT
ejpam-4922	53	34	p	p	NOUN
ejpam-4922	53	35	and	and	CCONJ
ejpam-4922	53	36	ρ	ρ	PROPN
ejpam-4922	53	37	are	be	AUX
ejpam-4922	53	38	the	the	DET
ejpam-4922	53	39	fluid	fluid	NOUN
ejpam-4922	53	40	’s	’s	PART
ejpam-4922	53	41	pressure	pressure	NOUN
ejpam-4922	53	42	at	at	ADP
ejpam-4922	53	43	measurement	measurement	NOUN
ejpam-4922	53	44	point	point	NOUN
ejpam-4922	53	45	(	(	PUNCT
ejpam-4922	53	46	pa	pa	PROPN
ejpam-4922	53	47	,	,	PUNCT
ejpam-4922	53	48	force	force	NOUN
ejpam-4922	53	49	(	(	PUNCT
ejpam-4922	53	50	weight	weight	NOUN
ejpam-4922	53	51	)	)	PUNCT
ejpam-4922	53	52	per	per	ADP
ejpam-4922	53	53	unit	unit	NOUN
ejpam-4922	53	54	area	area	NOUN
ejpam-4922	53	55	)	)	PUNCT
ejpam-4922	53	56	and	and	CCONJ
ejpam-4922	53	57	mass	mass	ADJ
ejpam-4922	53	58	density	density	NOUN
ejpam-4922	53	59	(	(	PUNCT
ejpam-4922	53	60	kg	kg	NOUN
ejpam-4922	53	61	/	/	SYM
ejpam-4922	53	62	m3	m3	PROPN
ejpam-4922	53	63	)	)	PUNCT
ejpam-4922	53	64	,	,	PUNCT
ejpam-4922	53	65	respectively	respectively	ADV
ejpam-4922	53	66	,	,	PUNCT
ejpam-4922	53	67	and	and	CCONJ
ejpam-4922	53	68	g	g	NOUN
ejpam-4922	53	69	is	be	AUX
ejpam-4922	53	70	the	the	DET
ejpam-4922	53	71	gravity	gravity	NOUN
ejpam-4922	53	72	acceleration	acceleration	NOUN
ejpam-4922	53	73	(	(	PUNCT
ejpam-4922	53	74	m	m	NOUN
ejpam-4922	53	75	/	/	SYM
ejpam-4922	53	76	s2	s2	PROPN
ejpam-4922	53	77	)	)	PUNCT
ejpam-4922	53	78	.	.	PUNCT
ejpam-4922	54	1	3.2	3.2	NUM
ejpam-4922	54	2	.	.	PUNCT
ejpam-4922	55	1	darcy	darcy	PROPN
ejpam-4922	55	2	’s	’s	PART
ejpam-4922	55	3	law	law	PROPN
ejpam-4922	55	4	the	the	DET
ejpam-4922	55	5	flux	flux	NOUN
ejpam-4922	55	6	density	density	NOUN
ejpam-4922	55	7	or	or	CCONJ
ejpam-4922	55	8	specific	specific	ADJ
ejpam-4922	55	9	discharge	discharge	NOUN
ejpam-4922	55	10	q	q	NOUN
ejpam-4922	55	11	is	be	AUX
ejpam-4922	55	12	a	a	DET
ejpam-4922	55	13	fictitious	fictitious	ADJ
ejpam-4922	55	14	macroscopic	macroscopic	ADJ
ejpam-4922	55	15	rate	rate	NOUN
ejpam-4922	55	16	of	of	ADP
ejpam-4922	55	17	a	a	DET
ejpam-4922	55	18	flux	flux	NOUN
ejpam-4922	55	19	of	of	ADP
ejpam-4922	55	20	water	water	NOUN
ejpam-4922	55	21	passing	pass	VERB
ejpam-4922	55	22	through	through	ADP
ejpam-4922	55	23	a	a	DET
ejpam-4922	55	24	unit	unit	NOUN
ejpam-4922	55	25	area	area	NOUN
ejpam-4922	55	26	.	.	PUNCT
ejpam-4922	56	1	discovered	discover	VERB
ejpam-4922	56	2	experimentally	experimentally	ADV
ejpam-4922	56	3	for	for	ADP
ejpam-4922	56	4	a	a	DET
ejpam-4922	56	5	homogeneous	homogeneous	ADJ
ejpam-4922	56	6	isotropic	isotropic	NOUN
ejpam-4922	56	7	porous	porous	ADJ
ejpam-4922	56	8	medium	medium	NOUN
ejpam-4922	56	9	by	by	ADP
ejpam-4922	56	10	darcy	darcy	PROPN
ejpam-4922	56	11	in	in	ADP
ejpam-4922	56	12	1856	1856	NUM
ejpam-4922	56	13	,	,	PUNCT
ejpam-4922	56	14	darcy	darcy	PROPN
ejpam-4922	56	15	’s	’s	PART
ejpam-4922	56	16	law	law	NOUN
ejpam-4922	56	17	is	be	AUX
ejpam-4922	56	18	an	an	DET
ejpam-4922	56	19	equation	equation	NOUN
ejpam-4922	56	20	that	that	PRON
ejpam-4922	56	21	describes	describe	VERB
ejpam-4922	56	22	the	the	DET
ejpam-4922	56	23	flow	flow	NOUN
ejpam-4922	56	24	of	of	ADP
ejpam-4922	56	25	a	a	DET
ejpam-4922	56	26	fluid	fluid	NOUN
ejpam-4922	56	27	through	through	ADP
ejpam-4922	56	28	a	a	DET
ejpam-4922	56	29	porous	porous	ADJ
ejpam-4922	56	30	medium	medium	NOUN
ejpam-4922	56	31	.	.	PUNCT
ejpam-4922	57	1	it	it	PRON
ejpam-4922	57	2	is	be	AUX
ejpam-4922	57	3	used	use	VERB
ejpam-4922	57	4	to	to	PART
ejpam-4922	57	5	define	define	VERB
ejpam-4922	57	6	the	the	DET
ejpam-4922	57	7	relation	relation	NOUN
ejpam-4922	57	8	between	between	ADP
ejpam-4922	57	9	specific	specific	ADJ
ejpam-4922	57	10	flow	flow	NOUN
ejpam-4922	57	11	q	q	PUNCT
ejpam-4922	57	12	and	and	CCONJ
ejpam-4922	57	13	hydraulic	hydraulic	ADJ
ejpam-4922	57	14	head	head	NOUN
ejpam-4922	57	15	h	h	NOUN
ejpam-4922	57	16	and	and	CCONJ
ejpam-4922	57	17	describes	describe	VERB
ejpam-4922	57	18	the	the	DET
ejpam-4922	57	19	flow	flow	NOUN
ejpam-4922	57	20	of	of	ADP
ejpam-4922	57	21	a	a	DET
ejpam-4922	57	22	fluid	fluid	NOUN
ejpam-4922	57	23	through	through	ADP
ejpam-4922	57	24	a	a	DET
ejpam-4922	57	25	porous	porous	ADJ
ejpam-4922	57	26	medium	medium	NOUN
ejpam-4922	57	27	.	.	PUNCT
ejpam-4922	58	1	however	however	ADV
ejpam-4922	58	2	,	,	PUNCT
ejpam-4922	58	3	it	it	PRON
ejpam-4922	58	4	has	have	AUX
ejpam-4922	58	5	been	be	AUX
ejpam-4922	58	6	generalized	generalize	VERB
ejpam-4922	58	7	to	to	ADP
ejpam-4922	58	8	saturated	saturated	ADJ
ejpam-4922	58	9	and	and	CCONJ
ejpam-4922	58	10	unsaturated	unsaturated	ADJ
ejpam-4922	58	11	flows	flow	NOUN
ejpam-4922	58	12	in	in	ADP
ejpam-4922	58	13	heterogeneous	heterogeneous	ADJ
ejpam-4922	58	14	and	and	CCONJ
ejpam-4922	58	15	anisotropic	anisotropic	NOUN
ejpam-4922	58	16	media	medium	NOUN
ejpam-4922	58	17	.	.	PUNCT
ejpam-4922	59	1	q	q	PUNCT
ejpam-4922	60	1	=	=	PUNCT
ejpam-4922	60	2	−k∇h	−k∇h	NUM
ejpam-4922	60	3	(	(	PUNCT
ejpam-4922	60	4	3	3	NUM
ejpam-4922	60	5	)	)	PUNCT
ejpam-4922	60	6	where	where	SCONJ
ejpam-4922	60	7	q	q	PROPN
ejpam-4922	60	8	denotes	denote	VERB
ejpam-4922	60	9	specific	specific	ADJ
ejpam-4922	60	10	discharge	discharge	NOUN
ejpam-4922	60	11	(	(	PUNCT
ejpam-4922	60	12	volume	volume	NOUN
ejpam-4922	60	13	of	of	ADP
ejpam-4922	60	14	fluid	fluid	NOUN
ejpam-4922	60	15	per	per	ADP
ejpam-4922	60	16	unit	unit	NOUN
ejpam-4922	60	17	cross	cross	ADJ
ejpam-4922	60	18	-	-	ADJ
ejpam-4922	60	19	sectional	sectional	ADJ
ejpam-4922	60	20	area	area	NOUN
ejpam-4922	60	21	of	of	ADP
ejpam-4922	60	22	porous	porous	ADJ
ejpam-4922	60	23	medium	medium	NOUN
ejpam-4922	60	24	per	per	ADP
ejpam-4922	60	25	unit	unit	NOUN
ejpam-4922	60	26	time	time	NOUN
ejpam-4922	60	27	,	,	PUNCT
ejpam-4922	60	28	m	m	PROPN
ejpam-4922	60	29	/	/	SYM
ejpam-4922	60	30	s	s	PART
ejpam-4922	60	31	)	)	PUNCT
ejpam-4922	60	32	and	and	CCONJ
ejpam-4922	60	33	is	be	AUX
ejpam-4922	60	34	also	also	ADV
ejpam-4922	60	35	called	call	VERB
ejpam-4922	60	36	darcy	darcy	PROPN
ejpam-4922	60	37	velocity	velocity	NOUN
ejpam-4922	60	38	.	.	PUNCT
ejpam-4922	61	1	k	k	PROPN
ejpam-4922	61	2	is	be	AUX
ejpam-4922	61	3	hydraulic	hydraulic	ADJ
ejpam-4922	61	4	conductivity	conductivity	NOUN
ejpam-4922	61	5	(	(	PUNCT
ejpam-4922	61	6	m	m	NOUN
ejpam-4922	61	7	/	/	SYM
ejpam-4922	61	8	s	s	NOUN
ejpam-4922	61	9	)	)	PUNCT
ejpam-4922	61	10	,	,	PUNCT
ejpam-4922	61	11	and	and	CCONJ
ejpam-4922	61	12	considered	consider	VERB
ejpam-4922	61	13	as	as	ADP
ejpam-4922	61	14	isotropic	isotropic	NOUN
ejpam-4922	61	15	,	,	PUNCT
ejpam-4922	61	16	i.e.	i.e.	X
ejpam-4922	61	17	constant	constant	ADJ
ejpam-4922	61	18	in	in	ADP
ejpam-4922	61	19	all	all	DET
ejpam-4922	61	20	directions	direction	NOUN
ejpam-4922	61	21	x	x	X
ejpam-4922	61	22	,	,	PUNCT
ejpam-4922	61	23	y	y	PROPN
ejpam-4922	61	24	,	,	PUNCT
ejpam-4922	61	25	z.	z.	PROPN
ejpam-4922	61	26	c.	c.	PROPN
ejpam-4922	61	27	j.	j.	PROPN
ejpam-4922	61	28	itoua	itoua	PROPN
ejpam-4922	61	29	-	-	PUNCT
ejpam-4922	61	30	tsele	tsele	NOUN
ejpam-4922	61	31	,	,	PUNCT
ejpam-4922	61	32	a.	a.	PROPN
ejpam-4922	61	33	f.	f.	PROPN
ejpam-4922	61	34	ouassissou	ouassissou	PROPN
ejpam-4922	61	35	/	/	SYM
ejpam-4922	61	36	eur	eur	PROPN
ejpam-4922	61	37	.	.	PUNCT
ejpam-4922	62	1	j.	j.	PROPN
ejpam-4922	62	2	pure	pure	PROPN
ejpam-4922	62	3	appl	appl	PROPN
ejpam-4922	62	4	.	.	PROPN
ejpam-4922	62	5	math	math	PROPN
ejpam-4922	62	6	,	,	PUNCT
ejpam-4922	62	7	16	16	NUM
ejpam-4922	62	8	(	(	PUNCT
ejpam-4922	62	9	4	4	NUM
ejpam-4922	62	10	)	)	PUNCT
ejpam-4922	62	11	(	(	PUNCT
ejpam-4922	62	12	2023	2023	NUM
ejpam-4922	62	13	)	)	PUNCT
ejpam-4922	62	14	,	,	PUNCT
ejpam-4922	62	15	2169	2169	NUM
ejpam-4922	62	16	-	-	SYM
ejpam-4922	62	17	2186	2186	NUM
ejpam-4922	62	18	2173	2173	NUM
ejpam-4922	62	19	figure	figure	NOUN
ejpam-4922	62	20	1	1	NUM
ejpam-4922	62	21	:	:	PUNCT
ejpam-4922	62	22	components	component	NOUN
ejpam-4922	62	23	of	of	ADP
ejpam-4922	62	24	hydraulic	hydraulic	ADJ
ejpam-4922	62	25	head	head	NOUN
ejpam-4922	62	26	in	in	ADP
ejpam-4922	62	27	a	a	DET
ejpam-4922	62	28	portion	portion	NOUN
ejpam-4922	62	29	of	of	ADP
ejpam-4922	62	30	a	a	DET
ejpam-4922	62	31	groundwater	groundwater	NOUN
ejpam-4922	62	32	water	water	NOUN
ejpam-4922	62	33	system	system	NOUN
ejpam-4922	62	34	.	.	PUNCT
ejpam-4922	63	1	∇h	∇h	PROPN
ejpam-4922	63	2	is	be	AUX
ejpam-4922	63	3	the	the	DET
ejpam-4922	63	4	hydraulic	hydraulic	ADJ
ejpam-4922	63	5	gradient	gradient	NOUN
ejpam-4922	63	6	,	,	PUNCT
ejpam-4922	63	7	which	which	PRON
ejpam-4922	63	8	is	be	AUX
ejpam-4922	63	9	the	the	DET
ejpam-4922	63	10	driving	drive	VERB
ejpam-4922	63	11	force	force	NOUN
ejpam-4922	63	12	of	of	ADP
ejpam-4922	63	13	groundwater	groundwater	NOUN
ejpam-4922	63	14	flow	flow	NOUN
ejpam-4922	63	15	per	per	ADP
ejpam-4922	63	16	unit	unit	NOUN
ejpam-4922	63	17	weight	weight	NOUN
ejpam-4922	63	18	of	of	ADP
ejpam-4922	63	19	groundwater	groundwater	NOUN
ejpam-4922	63	20	(	(	PUNCT
ejpam-4922	63	21	dimensionless	dimensionless	NOUN
ejpam-4922	63	22	)	)	PUNCT
ejpam-4922	63	23	.	.	PUNCT
ejpam-4922	64	1	3.2.1	3.2.1	X
ejpam-4922	64	2	.	.	PUNCT
ejpam-4922	64	3	isotropic	isotropic	ADJ
ejpam-4922	64	4	porous	porous	ADJ
ejpam-4922	64	5	medium	medium	NOUN
ejpam-4922	64	6	darcy	darcy	NOUN
ejpam-4922	64	7	’s	’s	PART
ejpam-4922	64	8	law	law	NOUN
ejpam-4922	64	9	for	for	ADP
ejpam-4922	64	10	single	single	ADJ
ejpam-4922	64	11	phase	phase	NOUN
ejpam-4922	64	12	fluid	fluid	NOUN
ejpam-4922	64	13	flow	flow	NOUN
ejpam-4922	64	14	in	in	ADP
ejpam-4922	64	15	homogeneous	homogeneous	ADJ
ejpam-4922	64	16	isotropic	isotropic	ADJ
ejpam-4922	64	17	porous	porous	ADJ
ejpam-4922	64	18	media	medium	NOUN
ejpam-4922	64	19	,	,	PUNCT
ejpam-4922	64	20	saturated	saturate	VERB
ejpam-4922	64	21	in	in	ADP
ejpam-4922	64	22	terms	term	NOUN
ejpam-4922	64	23	of	of	ADP
ejpam-4922	64	24	total	total	ADJ
ejpam-4922	64	25	pressure	pressure	NOUN
ejpam-4922	64	26	p	p	X
ejpam-4922	64	27	=	=	X
ejpam-4922	64	28	p+	p+	X
ejpam-4922	64	29	ρ0gz	ρ0gz	X
ejpam-4922	64	30	(	(	PUNCT
ejpam-4922	64	31	4	4	NUM
ejpam-4922	64	32	)	)	PUNCT
ejpam-4922	64	33	with	with	ADP
ejpam-4922	64	34	the	the	DET
ejpam-4922	64	35	vertical	vertical	ADJ
ejpam-4922	64	36	z	z	PROPN
ejpam-4922	64	37	axis	axis	NOUN
ejpam-4922	64	38	pointing	point	VERB
ejpam-4922	64	39	upward	upward	ADV
ejpam-4922	64	40	,	,	PUNCT
ejpam-4922	64	41	is	be	AUX
ejpam-4922	64	42	written	write	VERB
ejpam-4922	64	43	:	:	PUNCT
ejpam-4922	64	44	q	q	X
ejpam-4922	64	45	=	=	PUNCT
ejpam-4922	64	46	ϕu	ϕu	NOUN
ejpam-4922	64	47	=	=	PUNCT
ejpam-4922	64	48	−k	−k	PROPN
ejpam-4922	64	49	µ	µ	NOUN
ejpam-4922	64	50	∇p	∇p	NOUN
ejpam-4922	64	51	=	=	PUNCT
ejpam-4922	64	52	−k	−k	PROPN
ejpam-4922	64	53	µ	µ	X
ejpam-4922	64	54	∇(p+	∇(p+	PROPN
ejpam-4922	64	55	ρ0gz	ρ0gz	PROPN
ejpam-4922	64	56	)	)	PUNCT
ejpam-4922	64	57	=	=	SYM
ejpam-4922	64	58	−ρ0gk	−ρ0gk	NUM
ejpam-4922	64	59	µ	µ	NOUN
ejpam-4922	64	60	∇	∇	X
ejpam-4922	64	61	(	(	PUNCT
ejpam-4922	64	62	p	p	NOUN
ejpam-4922	64	63	ρ0	ρ0	PROPN
ejpam-4922	64	64	g	g	PROPN
ejpam-4922	64	65	+	+	PROPN
ejpam-4922	64	66	z	z	NOUN
ejpam-4922	64	67	)	)	PUNCT
ejpam-4922	64	68	(	(	PUNCT
ejpam-4922	64	69	5	5	X
ejpam-4922	64	70	)	)	PUNCT
ejpam-4922	64	71	where	where	SCONJ
ejpam-4922	64	72	k	k	PROPN
ejpam-4922	64	73	is	be	AUX
ejpam-4922	64	74	the	the	DET
ejpam-4922	64	75	permeabilities	permeability	NOUN
ejpam-4922	64	76	(	(	PUNCT
ejpam-4922	64	77	m2	m2	PROPN
ejpam-4922	64	78	)	)	PUNCT
ejpam-4922	64	79	,	,	PUNCT
ejpam-4922	64	80	or	or	CCONJ
ejpam-4922	64	81	the	the	DET
ejpam-4922	64	82	intrinsic	intrinsic	ADJ
ejpam-4922	64	83	permeability	permeability	NOUN
ejpam-4922	64	84	,	,	PUNCT
ejpam-4922	64	85	a	a	DET
ejpam-4922	64	86	property	property	NOUN
ejpam-4922	64	87	of	of	ADP
ejpam-4922	64	88	the	the	DET
ejpam-4922	64	89	porous	porous	ADJ
ejpam-4922	64	90	medium	medium	NOUN
ejpam-4922	64	91	;	;	PUNCT
ejpam-4922	64	92	ϕ	ϕ	NOUN
ejpam-4922	64	93	is	be	AUX
ejpam-4922	64	94	the	the	DET
ejpam-4922	64	95	porosity	porosity	NOUN
ejpam-4922	64	96	of	of	ADP
ejpam-4922	64	97	the	the	DET
ejpam-4922	64	98	porous	porous	ADJ
ejpam-4922	64	99	medium	medium	ADJ
ejpam-4922	64	100	(	(	PUNCT
ejpam-4922	64	101	dimensionless	dimensionless	NOUN
ejpam-4922	64	102	)	)	PUNCT
ejpam-4922	64	103	,	,	PUNCT
ejpam-4922	64	104	u	u	NOUN
ejpam-4922	64	105	is	be	AUX
ejpam-4922	64	106	the	the	DET
ejpam-4922	64	107	interstitial	interstitial	ADJ
ejpam-4922	64	108	velocity	velocity	NOUN
ejpam-4922	64	109	(	(	PUNCT
ejpam-4922	64	110	m	m	NOUN
ejpam-4922	64	111	/	/	SYM
ejpam-4922	64	112	s	s	PART
ejpam-4922	64	113	)	)	PUNCT
ejpam-4922	64	114	,	,	PUNCT
ejpam-4922	64	115	µ	µ	X
ejpam-4922	64	116	is	be	AUX
ejpam-4922	64	117	dynamic	dynamic	ADJ
ejpam-4922	64	118	viscosity	viscosity	NOUN
ejpam-4922	64	119	(	(	PUNCT
ejpam-4922	64	120	kg	kg	NOUN
ejpam-4922	64	121	/	/	SYM
ejpam-4922	64	122	m	m	PROPN
ejpam-4922	64	123	/	/	SYM
ejpam-4922	64	124	s	s	NOUN
ejpam-4922	64	125	)	)	PUNCT
ejpam-4922	64	126	of	of	ADP
ejpam-4922	64	127	the	the	DET
ejpam-4922	64	128	groundwater	groundwater	NOUN
ejpam-4922	64	129	;	;	PUNCT
ejpam-4922	64	130	p	p	NOUN
ejpam-4922	64	131	is	be	AUX
ejpam-4922	64	132	fluid	fluid	ADJ
ejpam-4922	64	133	pressure	pressure	NOUN
ejpam-4922	64	134	(	(	PUNCT
ejpam-4922	64	135	pa	pa	PROPN
ejpam-4922	64	136	)	)	PUNCT
ejpam-4922	64	137	,	,	PUNCT
ejpam-4922	64	138	ρ0	ρ0	PROPN
ejpam-4922	64	139	is	be	AUX
ejpam-4922	64	140	fluid	fluid	ADJ
ejpam-4922	64	141	density	density	NOUN
ejpam-4922	64	142	(	(	PUNCT
ejpam-4922	64	143	kg	kg	NOUN
ejpam-4922	64	144	/	/	SYM
ejpam-4922	64	145	m3	m3	PROPN
ejpam-4922	64	146	)	)	PUNCT
ejpam-4922	64	147	and	and	CCONJ
ejpam-4922	64	148	g	g	PROPN
ejpam-4922	64	149	is	be	AUX
ejpam-4922	64	150	the	the	DET
ejpam-4922	64	151	gravitational	gravitational	ADJ
ejpam-4922	64	152	acceleration	acceleration	NOUN
ejpam-4922	64	153	(	(	PUNCT
ejpam-4922	64	154	m	m	NOUN
ejpam-4922	64	155	/	/	SYM
ejpam-4922	64	156	s2	s2	PROPN
ejpam-4922	64	157	)	)	PUNCT
ejpam-4922	64	158	.	.	PUNCT
ejpam-4922	65	1	substituting	substitute	VERB
ejpam-4922	65	2	equation	equation	NOUN
ejpam-4922	65	3	(	(	PUNCT
ejpam-4922	65	4	2	2	NUM
ejpam-4922	65	5	)	)	PUNCT
ejpam-4922	65	6	into	into	ADP
ejpam-4922	65	7	equation	equation	NOUN
ejpam-4922	65	8	(	(	PUNCT
ejpam-4922	65	9	5	5	NUM
ejpam-4922	65	10	)	)	PUNCT
ejpam-4922	65	11	,	,	PUNCT
ejpam-4922	65	12	we	we	PRON
ejpam-4922	65	13	therefore	therefore	ADV
ejpam-4922	65	14	obtain	obtain	VERB
ejpam-4922	65	15	the	the	DET
ejpam-4922	65	16	darcy	darcy	NOUN
ejpam-4922	65	17	’s	’s	PART
ejpam-4922	65	18	law	law	NOUN
ejpam-4922	65	19	in	in	ADP
ejpam-4922	65	20	term	term	NOUN
ejpam-4922	65	21	of	of	ADP
ejpam-4922	65	22	hydraulic	hydraulic	ADJ
ejpam-4922	65	23	head	head	NOUN
ejpam-4922	65	24	h	h	NOUN
ejpam-4922	65	25	q	q	NOUN
ejpam-4922	66	1	=	=	PUNCT
ejpam-4922	66	2	kj	kj	NOUN
ejpam-4922	66	3	=	=	VERB
ejpam-4922	66	4	−k∇h	−k∇h	NUM
ejpam-4922	66	5	(	(	PUNCT
ejpam-4922	66	6	6	6	NUM
ejpam-4922	66	7	)	)	PUNCT
ejpam-4922	66	8	where	where	SCONJ
ejpam-4922	66	9	k	k	NOUN
ejpam-4922	66	10	=	=	X
ejpam-4922	66	11	ρ0gk	ρ0gk	X
ejpam-4922	66	12	µ	µ	X
ejpam-4922	66	13	is	be	AUX
ejpam-4922	66	14	hydraulic	hydraulic	ADJ
ejpam-4922	66	15	conductivity	conductivity	NOUN
ejpam-4922	66	16	of	of	ADP
ejpam-4922	66	17	the	the	DET
ejpam-4922	66	18	fluid	fluid	NOUN
ejpam-4922	66	19	in	in	ADP
ejpam-4922	66	20	a	a	DET
ejpam-4922	66	21	porous	porous	ADJ
ejpam-4922	66	22	medium	medium	NOUN
ejpam-4922	66	23	.	.	PUNCT
ejpam-4922	67	1	then	then	ADV
ejpam-4922	67	2	k	k	PROPN
ejpam-4922	67	3	is	be	AUX
ejpam-4922	67	4	a	a	DET
ejpam-4922	67	5	scalar	scalar	ADJ
ejpam-4922	67	6	,	,	PUNCT
ejpam-4922	67	7	and	and	CCONJ
ejpam-4922	67	8	the	the	DET
ejpam-4922	67	9	specific	specific	ADJ
ejpam-4922	67	10	flux	flux	NOUN
ejpam-4922	67	11	vector	vector	NOUN
ejpam-4922	67	12	q	q	NOUN
ejpam-4922	67	13	with	with	ADP
ejpam-4922	67	14	the	the	DET
ejpam-4922	67	15	components	component	NOUN
ejpam-4922	67	16	qx	qx	PROPN
ejpam-4922	67	17	,	,	PUNCT
ejpam-4922	67	18	qy	qy	PROPN
ejpam-4922	67	19	,	,	PUNCT
ejpam-4922	67	20	qz	qz	NOUN
ejpam-4922	67	21	in	in	ADP
ejpam-4922	67	22	the	the	DET
ejpam-4922	67	23	direction	direction	NOUN
ejpam-4922	67	24	of	of	ADP
ejpam-4922	67	25	the	the	DET
ejpam-4922	67	26	c.	c.	PROPN
ejpam-4922	67	27	j.	j.	PROPN
ejpam-4922	67	28	itoua	itoua	PROPN
ejpam-4922	67	29	-	-	PUNCT
ejpam-4922	67	30	tsele	tsele	NOUN
ejpam-4922	67	31	,	,	PUNCT
ejpam-4922	67	32	a.	a.	PROPN
ejpam-4922	67	33	f.	f.	PROPN
ejpam-4922	67	34	ouassissou	ouassissou	PROPN
ejpam-4922	67	35	/	/	SYM
ejpam-4922	67	36	eur	eur	PROPN
ejpam-4922	67	37	.	.	PUNCT
ejpam-4922	68	1	j.	j.	PROPN
ejpam-4922	68	2	pure	pure	PROPN
ejpam-4922	68	3	appl	appl	PROPN
ejpam-4922	68	4	.	.	PROPN
ejpam-4922	68	5	math	math	PROPN
ejpam-4922	68	6	,	,	PUNCT
ejpam-4922	68	7	16	16	NUM
ejpam-4922	68	8	(	(	PUNCT
ejpam-4922	68	9	4	4	NUM
ejpam-4922	68	10	)	)	PUNCT
ejpam-4922	68	11	(	(	PUNCT
ejpam-4922	68	12	2023	2023	NUM
ejpam-4922	68	13	)	)	PUNCT
ejpam-4922	68	14	,	,	PUNCT
ejpam-4922	68	15	2169	2169	NUM
ejpam-4922	68	16	-	-	SYM
ejpam-4922	68	17	2186	2186	NUM
ejpam-4922	68	18	2174	2174	NUM
ejpam-4922	68	19	cartesian	cartesian	PROPN
ejpam-4922	68	20	x	x	SYM
ejpam-4922	68	21	,	,	PUNCT
ejpam-4922	68	22	y	y	PROPN
ejpam-4922	68	23	,	,	PUNCT
ejpam-4922	68	24	z	z	NOUN
ejpam-4922	68	25	direction	direction	NOUN
ejpam-4922	68	26	and	and	CCONJ
ejpam-4922	68	27	j	j	NOUN
ejpam-4922	68	28	=	=	NOUN
ejpam-4922	68	29	−∇h	−∇h	PROPN
ejpam-4922	68	30	is	be	AUX
ejpam-4922	68	31	hydraulic	hydraulic	ADJ
ejpam-4922	68	32	gradient	gradient	NOUN
ejpam-4922	68	33	with	with	ADP
ejpam-4922	68	34	components	component	NOUN
ejpam-4922	68	35	jx	jx	PROPN
ejpam-4922	68	36	=	=	SYM
ejpam-4922	69	1	−∂h	−∂h	PROPN
ejpam-4922	69	2	∂x	∂x	PROPN
ejpam-4922	69	3	,	,	PUNCT
ejpam-4922	69	4	(	(	PUNCT
ejpam-4922	69	5	7	7	X
ejpam-4922	69	6	)	)	PUNCT
ejpam-4922	69	7	jy	jy	NOUN
ejpam-4922	69	8	=	=	SYM
ejpam-4922	69	9	−∂h	−∂h	PROPN
ejpam-4922	69	10	∂y	∂y	NUM
ejpam-4922	69	11	,	,	PUNCT
ejpam-4922	69	12	(	(	PUNCT
ejpam-4922	69	13	8)	8)	NUM
ejpam-4922	69	14	jz	jz	NOUN
ejpam-4922	69	15	=	=	PUNCT
ejpam-4922	69	16	−∂h	−∂h	PROPN
ejpam-4922	69	17	∂z	∂z	PROPN
ejpam-4922	69	18	.	.	PUNCT
ejpam-4922	70	1	(	(	PUNCT
ejpam-4922	70	2	9	9	X
ejpam-4922	70	3	)	)	PUNCT
ejpam-4922	70	4	homogeneous	homogeneous	ADJ
ejpam-4922	70	5	isotropic	isotropic	ADJ
ejpam-4922	70	6	porous	porous	ADJ
ejpam-4922	70	7	medium	medium	NOUN
ejpam-4922	70	8	,	,	PUNCT
ejpam-4922	70	9	k	k	PROPN
ejpam-4922	70	10	is	be	AUX
ejpam-4922	70	11	a	a	DET
ejpam-4922	70	12	constant	constant	ADJ
ejpam-4922	70	13	,	,	PUNCT
ejpam-4922	70	14	so	so	CCONJ
ejpam-4922	70	15	qx	qx	PROPN
ejpam-4922	70	16	=	=	ADJ
ejpam-4922	70	17	kjx	kjx	NOUN
ejpam-4922	70	18	=	=	PUNCT
ejpam-4922	70	19	−k	−k	PROPN
ejpam-4922	70	20	∂h	∂h	PROPN
ejpam-4922	70	21	∂x	∂x	PROPN
ejpam-4922	70	22	,	,	PUNCT
ejpam-4922	70	23	(	(	PUNCT
ejpam-4922	70	24	10	10	NUM
ejpam-4922	70	25	)	)	PUNCT
ejpam-4922	70	26	qy	qy	NOUN
ejpam-4922	70	27	=	=	PROPN
ejpam-4922	70	28	kjy	kjy	PROPN
ejpam-4922	71	1	=	=	PUNCT
ejpam-4922	71	2	−k	−k	PROPN
ejpam-4922	71	3	∂h	∂h	PROPN
ejpam-4922	71	4	∂y	∂y	ADJ
ejpam-4922	71	5	,	,	PUNCT
ejpam-4922	71	6	(	(	PUNCT
ejpam-4922	71	7	11	11	NUM
ejpam-4922	71	8	)	)	PUNCT
ejpam-4922	71	9	qz	qz	NOUN
ejpam-4922	71	10	=	=	NOUN
ejpam-4922	71	11	kjz	kjz	PROPN
ejpam-4922	72	1	=	=	PUNCT
ejpam-4922	72	2	−k	−k	PROPN
ejpam-4922	72	3	∂h	∂h	PROPN
ejpam-4922	72	4	∂z	∂z	PROPN
ejpam-4922	72	5	.	.	PUNCT
ejpam-4922	73	1	(	(	PUNCT
ejpam-4922	73	2	12	12	NUM
ejpam-4922	73	3	)	)	PUNCT
ejpam-4922	73	4	for	for	ADP
ejpam-4922	73	5	three	three	NUM
ejpam-4922	73	6	dimension	dimension	NOUN
ejpam-4922	73	7	flow	flow	NOUN
ejpam-4922	73	8	through	through	ADP
ejpam-4922	73	9	inhomogeneous	inhomogeneous	ADJ
ejpam-4922	73	10	isotropic	isotropic	ADJ
ejpam-4922	73	11	media	medium	NOUN
ejpam-4922	73	12	we	we	PRON
ejpam-4922	73	13	havek	havek	VERB
ejpam-4922	73	14	=	=	SYM
ejpam-4922	73	15	k(x	k(x	PROPN
ejpam-4922	73	16	,	,	PUNCT
ejpam-4922	73	17	y	y	PROPN
ejpam-4922	73	18	,	,	PUNCT
ejpam-4922	73	19	z	z	NOUN
ejpam-4922	73	20	)	)	PUNCT
ejpam-4922	73	21	.	.	PUNCT
ejpam-4922	74	1	thus	thus	ADV
ejpam-4922	74	2	,	,	PUNCT
ejpam-4922	74	3	darcy	darcy	PROPN
ejpam-4922	74	4	’s	’s	PART
ejpam-4922	74	5	law	law	NOUN
ejpam-4922	74	6	in	in	ADP
ejpam-4922	74	7	a	a	DET
ejpam-4922	74	8	inhomogeneous	inhomogeneous	ADJ
ejpam-4922	74	9	domain	domain	NOUN
ejpam-4922	74	10	is	be	AUX
ejpam-4922	74	11	:	:	PUNCT
ejpam-4922	74	12	q	q	X
ejpam-4922	74	13	=	=	SYM
ejpam-4922	74	14	−k(x	−k(x	PROPN
ejpam-4922	74	15	,	,	PUNCT
ejpam-4922	74	16	y	y	PROPN
ejpam-4922	74	17	,	,	PUNCT
ejpam-4922	74	18	z)∇h	z)∇h	NOUN
ejpam-4922	74	19	(	(	PUNCT
ejpam-4922	74	20	13	13	NUM
ejpam-4922	74	21	)	)	PUNCT
ejpam-4922	74	22	in	in	ADP
ejpam-4922	74	23	isotropic	isotropic	ADJ
ejpam-4922	74	24	porous	porous	ADJ
ejpam-4922	74	25	media	medium	NOUN
ejpam-4922	74	26	the	the	DET
ejpam-4922	74	27	off	off	ADV
ejpam-4922	74	28	-	-	PUNCT
ejpam-4922	74	29	diagonal	diagonal	ADJ
ejpam-4922	74	30	elements	element	NOUN
ejpam-4922	74	31	in	in	ADP
ejpam-4922	74	32	the	the	DET
ejpam-4922	74	33	permeability	permeability	NOUN
ejpam-4922	74	34	tensor	tensor	NOUN
ejpam-4922	74	35	are	be	AUX
ejpam-4922	74	36	zero	zero	NUM
ejpam-4922	74	37	,	,	PUNCT
ejpam-4922	74	38	kij	kij	PROPN
ejpam-4922	74	39	=	=	SYM
ejpam-4922	74	40	0	0	PROPN
ejpam-4922	74	41	for	for	ADP
ejpam-4922	74	42	i	i	PRON
ejpam-4922	74	43	̸=	̸=	PROPN
ejpam-4922	74	44	j	j	PROPN
ejpam-4922	74	45	and	and	CCONJ
ejpam-4922	74	46	the	the	DET
ejpam-4922	74	47	diagonal	diagonal	ADJ
ejpam-4922	74	48	elements	element	NOUN
ejpam-4922	74	49	are	be	AUX
ejpam-4922	74	50	identical	identical	ADJ
ejpam-4922	74	51	,	,	PUNCT
ejpam-4922	74	52	kii	kii	PROPN
ejpam-4922	74	53	̸=	̸=	PROPN
ejpam-4922	74	54	0	0	NUM
ejpam-4922	74	55	,	,	PUNCT
ejpam-4922	74	56	where	where	SCONJ
ejpam-4922	74	57	subscripts	subscript	NOUN
ejpam-4922	74	58	i	i	PRON
ejpam-4922	74	59	and	and	CCONJ
ejpam-4922	74	60	j	j	PROPN
ejpam-4922	74	61	stand	stand	VERB
ejpam-4922	74	62	for	for	ADP
ejpam-4922	74	63	xi	xi	PROPN
ejpam-4922	74	64	,	,	PUNCT
ejpam-4922	74	65	xj	xj	PROPN
ejpam-4922	74	66	,	,	PUNCT
ejpam-4922	74	67	respectively	respectively	ADV
ejpam-4922	74	68	,	,	PUNCT
ejpam-4922	74	69	with	with	ADP
ejpam-4922	74	70	x1	x1	PROPN
ejpam-4922	74	71	≡	≡	PROPN
ejpam-4922	74	72	x	x	PROPN
ejpam-4922	74	73	,	,	PUNCT
ejpam-4922	74	74	x2	x2	PROPN
ejpam-4922	74	75	≡	≡	PROPN
ejpam-4922	74	76	y	y	PROPN
ejpam-4922	74	77	,	,	PUNCT
ejpam-4922	74	78	and	and	CCONJ
ejpam-4922	74	79	x3	x3	PROPN
ejpam-4922	74	80	≡	≡	PROPN
ejpam-4922	74	81	z.	z.	PROPN
ejpam-4922	74	82	in	in	ADP
ejpam-4922	74	83	three	three	NUM
ejpam-4922	74	84	dimension	dimension	NOUN
ejpam-4922	74	85	space	space	NOUN
ejpam-4922	74	86	k	k	PROPN
ejpam-4922	75	1	=	=	X
ejpam-4922	75	2	kxx	kxx	NUM
ejpam-4922	75	3	0	0	NUM
ejpam-4922	75	4	0	0	SYM
ejpam-4922	75	5	0	0	NUM
ejpam-4922	75	6	kyy	kyy	PROPN
ejpam-4922	75	7	0	0	NUM
ejpam-4922	75	8	0	0	SYM
ejpam-4922	75	9	0	0	NUM
ejpam-4922	75	10	kzz	kzz	NOUN
ejpam-4922	75	11			NOUN
ejpam-4922	75	12	(	(	PUNCT
ejpam-4922	75	13	14	14	NUM
ejpam-4922	75	14	)	)	PUNCT
ejpam-4922	75	15	in	in	ADP
ejpam-4922	75	16	two	two	NUM
ejpam-4922	75	17	dimension	dimension	NOUN
ejpam-4922	75	18	space	space	NOUN
ejpam-4922	75	19	k	k	PROPN
ejpam-4922	76	1	=	=	PUNCT
ejpam-4922	76	2	[	[	PUNCT
ejpam-4922	76	3	kxx	kxx	NOUN
ejpam-4922	76	4	0	0	NUM
ejpam-4922	76	5	0	0	NUM
ejpam-4922	76	6	kyy	kyy	PROPN
ejpam-4922	76	7	]	]	PUNCT
ejpam-4922	76	8	(	(	PUNCT
ejpam-4922	76	9	15	15	NUM
ejpam-4922	76	10	)	)	PUNCT
ejpam-4922	76	11	3.2.2	3.2.2	NUM
ejpam-4922	76	12	.	.	PUNCT
ejpam-4922	77	1	anisotropic	anisotropic	NOUN
ejpam-4922	77	2	porous	porous	ADJ
ejpam-4922	77	3	medium	medium	NOUN
ejpam-4922	77	4	in	in	ADP
ejpam-4922	77	5	a	a	DET
ejpam-4922	77	6	compressible	compressible	ADJ
ejpam-4922	77	7	fluid	fluid	NOUN
ejpam-4922	77	8	under	under	ADP
ejpam-4922	77	9	isothermal	isothermal	ADJ
ejpam-4922	77	10	conditions	condition	NOUN
ejpam-4922	77	11	,	,	PUNCT
ejpam-4922	77	12	where	where	SCONJ
ejpam-4922	77	13	,	,	PUNCT
ejpam-4922	77	14	ρ	ρ	PROPN
ejpam-4922	77	15	=	=	SYM
ejpam-4922	77	16	ρ(p	ρ(p	NUM
ejpam-4922	77	17	)	)	PUNCT
ejpam-4922	77	18	,	,	PUNCT
ejpam-4922	77	19	the	the	DET
ejpam-4922	77	20	pressure	pressure	NOUN
ejpam-4922	77	21	head	head	NOUN
ejpam-4922	77	22	is	be	AUX
ejpam-4922	77	23	expressed	express	VERB
ejpam-4922	77	24	by	by	ADP
ejpam-4922	77	25	∫	∫	PROPN
ejpam-4922	77	26	pf	pf	PROPN
ejpam-4922	77	27	p0	p0	PROPN
ejpam-4922	77	28	dp	dp	NOUN
ejpam-4922	77	29	gρ(p	gρ(p	PROPN
ejpam-4922	77	30	)	)	PUNCT
ejpam-4922	78	1	(	(	PUNCT
ejpam-4922	78	2	16	16	NUM
ejpam-4922	78	3	)	)	PUNCT
ejpam-4922	78	4	where	where	SCONJ
ejpam-4922	78	5	p0	p0	NOUN
ejpam-4922	78	6	is	be	AUX
ejpam-4922	78	7	some	some	DET
ejpam-4922	78	8	reference	reference	NOUN
ejpam-4922	78	9	pressure	pressure	NOUN
ejpam-4922	78	10	,	,	PUNCT
ejpam-4922	78	11	indicating	indicate	VERB
ejpam-4922	78	12	that	that	SCONJ
ejpam-4922	78	13	the	the	DET
ejpam-4922	78	14	pressure	pressure	NOUN
ejpam-4922	78	15	energy	energy	NOUN
ejpam-4922	78	16	stored	store	VERB
ejpam-4922	78	17	in	in	ADP
ejpam-4922	78	18	the	the	DET
ejpam-4922	78	19	fluid	fluid	NOUN
ejpam-4922	78	20	per	per	ADP
ejpam-4922	78	21	unit	unit	NOUN
ejpam-4922	78	22	weight	weight	NOUN
ejpam-4922	78	23	of	of	ADP
ejpam-4922	78	24	the	the	DET
ejpam-4922	78	25	latter	latter	ADJ
ejpam-4922	78	26	is	be	AUX
ejpam-4922	78	27	obtained	obtain	VERB
ejpam-4922	78	28	from	from	ADP
ejpam-4922	78	29	the	the	DET
ejpam-4922	78	30	work	work	NOUN
ejpam-4922	78	31	done	do	VERB
ejpam-4922	78	32	in	in	ADP
ejpam-4922	78	33	compressing	compress	VERB
ejpam-4922	78	34	fluid	fluid	NOUN
ejpam-4922	78	35	.	.	PUNCT
ejpam-4922	79	1	for	for	ADP
ejpam-4922	79	2	such	such	DET
ejpam-4922	79	3	a	a	DET
ejpam-4922	79	4	fluid	fluid	NOUN
ejpam-4922	79	5	,	,	PUNCT
ejpam-4922	79	6	it	it	PRON
ejpam-4922	79	7	is	be	AUX
ejpam-4922	79	8	common	common	ADJ
ejpam-4922	79	9	to	to	PART
ejpam-4922	79	10	define	define	VERB
ejpam-4922	79	11	a	a	DET
ejpam-4922	79	12	piezometric	piezometric	ADJ
ejpam-4922	79	13	head	head	NOUN
ejpam-4922	79	14	,	,	PUNCT
ejpam-4922	79	15	h∗	h∗	PROPN
ejpam-4922	79	16	,	,	PUNCT
ejpam-4922	79	17	often	often	ADV
ejpam-4922	79	18	called	call	VERB
ejpam-4922	79	19	hubbert	hubbert	NOUN
ejpam-4922	79	20	’s	’s	PART
ejpam-4922	79	21	potential	potential	NOUN
ejpam-4922	79	22	.	.	PUNCT
ejpam-4922	80	1	h∗	h∗	NOUN
ejpam-4922	80	2	=	=	SYM
ejpam-4922	80	3	h∗(x	h∗(x	PROPN
ejpam-4922	80	4	,	,	PUNCT
ejpam-4922	80	5	t	t	PROPN
ejpam-4922	80	6	)	)	PUNCT
ejpam-4922	80	7	=	=	SYM
ejpam-4922	81	1	z	z	NOUN
ejpam-4922	82	1	+	+	NUM
ejpam-4922	82	2	∫	∫	PROPN
ejpam-4922	82	3	pf	pf	PROPN
ejpam-4922	82	4	p0	p0	PROPN
ejpam-4922	82	5	dp	dp	NOUN
ejpam-4922	82	6	gρ(p	gρ(p	PROPN
ejpam-4922	82	7	)	)	PUNCT
ejpam-4922	82	8	(	(	PUNCT
ejpam-4922	82	9	17	17	NUM
ejpam-4922	82	10	)	)	PUNCT
ejpam-4922	82	11	c.	c.	PROPN
ejpam-4922	82	12	j.	j.	PROPN
ejpam-4922	82	13	itoua	itoua	PROPN
ejpam-4922	82	14	-	-	PUNCT
ejpam-4922	82	15	tsele	tsele	NOUN
ejpam-4922	82	16	,	,	PUNCT
ejpam-4922	82	17	a.	a.	PROPN
ejpam-4922	82	18	f.	f.	PROPN
ejpam-4922	82	19	ouassissou	ouassissou	PROPN
ejpam-4922	82	20	/	/	SYM
ejpam-4922	82	21	eur	eur	PROPN
ejpam-4922	82	22	.	.	PUNCT
ejpam-4922	83	1	j.	j.	PROPN
ejpam-4922	83	2	pure	pure	PROPN
ejpam-4922	83	3	appl	appl	PROPN
ejpam-4922	83	4	.	.	PROPN
ejpam-4922	83	5	math	math	PROPN
ejpam-4922	83	6	,	,	PUNCT
ejpam-4922	83	7	16	16	NUM
ejpam-4922	83	8	(	(	PUNCT
ejpam-4922	83	9	4	4	NUM
ejpam-4922	83	10	)	)	PUNCT
ejpam-4922	83	11	(	(	PUNCT
ejpam-4922	83	12	2023	2023	NUM
ejpam-4922	83	13	)	)	PUNCT
ejpam-4922	83	14	,	,	PUNCT
ejpam-4922	83	15	2169	2169	NUM
ejpam-4922	83	16	-	-	SYM
ejpam-4922	83	17	2186	2186	NUM
ejpam-4922	83	18	2175	2175	NUM
ejpam-4922	83	19	where	where	SCONJ
ejpam-4922	83	20	z	z	NOUN
ejpam-4922	83	21	represents	represent	VERB
ejpam-4922	83	22	the	the	DET
ejpam-4922	83	23	elevation	elevation	NOUN
ejpam-4922	83	24	head	head	NOUN
ejpam-4922	83	25	,	,	PUNCT
ejpam-4922	83	26	that	that	ADV
ejpam-4922	83	27	is	is	ADV
ejpam-4922	83	28	,	,	PUNCT
ejpam-4922	83	29	potential	potential	ADJ
ejpam-4922	83	30	energy	energy	NOUN
ejpam-4922	83	31	per	per	ADP
ejpam-4922	83	32	unit	unit	NOUN
ejpam-4922	83	33	weight	weight	NOUN
ejpam-4922	83	34	of	of	ADP
ejpam-4922	83	35	water	water	NOUN
ejpam-4922	83	36	.	.	PUNCT
ejpam-4922	84	1	the	the	DET
ejpam-4922	84	2	sum	sum	NOUN
ejpam-4922	84	3	of	of	ADP
ejpam-4922	84	4	the	the	DET
ejpam-4922	84	5	pressure	pressure	NOUN
ejpam-4922	84	6	head	head	NOUN
ejpam-4922	84	7	and	and	CCONJ
ejpam-4922	84	8	the	the	DET
ejpam-4922	84	9	elevation	elevation	NOUN
ejpam-4922	84	10	head	head	NOUN
ejpam-4922	84	11	is	be	AUX
ejpam-4922	84	12	the	the	DET
ejpam-4922	84	13	piezometric	piezometric	ADJ
ejpam-4922	84	14	head	head	NOUN
ejpam-4922	84	15	h.	h.	PROPN
ejpam-4922	84	16	note	note	VERB
ejpam-4922	84	17	the	the	DET
ejpam-4922	84	18	use	use	NOUN
ejpam-4922	84	19	of	of	ADP
ejpam-4922	84	20	x	x	PUNCT
ejpam-4922	84	21	in	in	ADP
ejpam-4922	84	22	equation	equation	NOUN
ejpam-4922	84	23	(	(	PUNCT
ejpam-4922	84	24	17	17	NUM
ejpam-4922	84	25	)	)	PUNCT
ejpam-4922	84	26	,	,	PUNCT
ejpam-4922	84	27	representing	represent	VERB
ejpam-4922	84	28	the	the	DET
ejpam-4922	84	29	coordinates	coordinate	NOUN
ejpam-4922	84	30	x	x	NOUN
ejpam-4922	84	31	,	,	PUNCT
ejpam-4922	84	32	y	y	PROPN
ejpam-4922	84	33	,	,	PUNCT
ejpam-4922	84	34	z	z	PUNCT
ejpam-4922	84	35	to	to	PART
ejpam-4922	84	36	denote	denote	VERB
ejpam-4922	84	37	a	a	DET
ejpam-4922	84	38	point	point	NOUN
ejpam-4922	84	39	in	in	ADP
ejpam-4922	84	40	a	a	DET
ejpam-4922	84	41	3d	3d	NUM
ejpam-4922	84	42	space	space	NOUN
ejpam-4922	84	43	.	.	PUNCT
ejpam-4922	85	1	thus	thus	ADV
ejpam-4922	85	2	,	,	PUNCT
ejpam-4922	85	3	darcy	darcy	PROPN
ejpam-4922	85	4	’s	’s	PART
ejpam-4922	85	5	equation	equation	NOUN
ejpam-4922	85	6	is	be	AUX
ejpam-4922	85	7	given	give	VERB
ejpam-4922	85	8	by	by	ADP
ejpam-4922	85	9	the	the	DET
ejpam-4922	85	10	relation	relation	NOUN
ejpam-4922	85	11	q	q	NOUN
ejpam-4922	86	1	=	=	PUNCT
ejpam-4922	86	2	−k	−k	PROPN
ejpam-4922	86	3	µ	µ	X
ejpam-4922	86	4	[	[	PUNCT
ejpam-4922	86	5	∇p+	∇p+	ADP
ejpam-4922	86	6	ρg∇z	ρg∇z	NOUN
ejpam-4922	86	7	]	]	PUNCT
ejpam-4922	86	8	(	(	PUNCT
ejpam-4922	86	9	18	18	NUM
ejpam-4922	86	10	)	)	PUNCT
ejpam-4922	86	11	in	in	ADP
ejpam-4922	86	12	case	case	NOUN
ejpam-4922	86	13	of	of	ADP
ejpam-4922	86	14	anisotropic	anisotropic	NOUN
ejpam-4922	86	15	porous	porous	ADJ
ejpam-4922	86	16	medium	medium	NOUN
ejpam-4922	86	17	,	,	PUNCT
ejpam-4922	86	18	darcy	darcy	PROPN
ejpam-4922	86	19	’s	’s	PART
ejpam-4922	86	20	law	law	NOUN
ejpam-4922	86	21	is	be	AUX
ejpam-4922	86	22	given	give	VERB
ejpam-4922	86	23	by	by	ADP
ejpam-4922	86	24	q	q	NOUN
ejpam-4922	86	25	=	=	PUNCT
ejpam-4922	86	26	−k	−k	PROPN
ejpam-4922	86	27	·	·	PUNCT
ejpam-4922	86	28	∇h	∇h	NOUN
ejpam-4922	86	29	(	(	PUNCT
ejpam-4922	86	30	19	19	NUM
ejpam-4922	86	31	)	)	PUNCT
ejpam-4922	86	32	where	where	SCONJ
ejpam-4922	86	33	k	k	PROPN
ejpam-4922	86	34	is	be	AUX
ejpam-4922	86	35	tensor	tensor	NOUN
ejpam-4922	86	36	of	of	ADP
ejpam-4922	86	37	hydraulic	hydraulic	ADJ
ejpam-4922	86	38	conductivity	conductivity	NOUN
ejpam-4922	86	39	of	of	ADP
ejpam-4922	86	40	anisotropic	anisotropic	NOUN
ejpam-4922	86	41	medium	medium	NOUN
ejpam-4922	86	42	.	.	PUNCT
ejpam-4922	87	1	3.2.3	3.2.3	X
ejpam-4922	87	2	.	.	PUNCT
ejpam-4922	87	3	principal	principal	ADJ
ejpam-4922	87	4	directions	direction	NOUN
ejpam-4922	87	5	(	(	PUNCT
ejpam-4922	87	6	i	i	NOUN
ejpam-4922	87	7	)	)	PUNCT
ejpam-4922	87	8	although	although	SCONJ
ejpam-4922	87	9	the	the	DET
ejpam-4922	87	10	hydraulic	hydraulic	ADJ
ejpam-4922	87	11	conductivity	conductivity	NOUN
ejpam-4922	87	12	tensor	tensor	NOUN
ejpam-4922	87	13	,	,	PUNCT
ejpam-4922	87	14	k	k	PROPN
ejpam-4922	87	15	,	,	PUNCT
ejpam-4922	87	16	at	at	ADP
ejpam-4922	87	17	a	a	DET
ejpam-4922	87	18	point	point	NOUN
ejpam-4922	87	19	within	within	ADP
ejpam-4922	87	20	an	an	DET
ejpam-4922	87	21	anisotropic	anisotropic	NOUN
ejpam-4922	87	22	porous	porous	ADJ
ejpam-4922	87	23	medium	medium	NOUN
ejpam-4922	87	24	is	be	AUX
ejpam-4922	87	25	independent	independent	ADJ
ejpam-4922	87	26	of	of	ADP
ejpam-4922	87	27	the	the	DET
ejpam-4922	87	28	coordinate	coordinate	NOUN
ejpam-4922	87	29	system	system	NOUN
ejpam-4922	87	30	used	use	VERB
ejpam-4922	87	31	,	,	PUNCT
ejpam-4922	87	32	the	the	DET
ejpam-4922	87	33	magnitude	magnitude	NOUN
ejpam-4922	87	34	of	of	ADP
ejpam-4922	87	35	each	each	DET
ejpam-4922	87	36	kij	kij	NOUN
ejpam-4922	87	37	-	-	PUNCT
ejpam-4922	87	38	component	component	NOUN
ejpam-4922	87	39	does	do	AUX
ejpam-4922	87	40	depend	depend	VERB
ejpam-4922	87	41	on	on	ADP
ejpam-4922	87	42	the	the	DET
ejpam-4922	87	43	chosen	choose	VERB
ejpam-4922	87	44	coordinate	coordinate	NOUN
ejpam-4922	87	45	system	system	NOUN
ejpam-4922	87	46	.	.	PUNCT
ejpam-4922	88	1	texts	text	NOUN
ejpam-4922	88	2	on	on	ADP
ejpam-4922	88	3	tensor	tensor	NOUN
ejpam-4922	88	4	analysis	analysis	NOUN
ejpam-4922	88	5	give	give	VERB
ejpam-4922	88	6	the	the	DET
ejpam-4922	88	7	rules	rule	NOUN
ejpam-4922	88	8	for	for	ADP
ejpam-4922	88	9	transforming	transform	VERB
ejpam-4922	88	10	these	these	DET
ejpam-4922	88	11	components	component	NOUN
ejpam-4922	88	12	from	from	ADP
ejpam-4922	88	13	one	one	NUM
ejpam-4922	88	14	coordinate	coordinate	NOUN
ejpam-4922	88	15	system	system	NOUN
ejpam-4922	88	16	to	to	ADP
ejpam-4922	88	17	another	another	PRON
ejpam-4922	88	18	.	.	PUNCT
ejpam-4922	89	1	(	(	PUNCT
ejpam-4922	89	2	ii	ii	X
ejpam-4922	89	3	)	)	PUNCT
ejpam-4922	89	4	these	these	DET
ejpam-4922	89	5	texts	text	NOUN
ejpam-4922	89	6	also	also	ADV
ejpam-4922	89	7	prove	prove	VERB
ejpam-4922	89	8	that	that	SCONJ
ejpam-4922	89	9	it	it	PRON
ejpam-4922	89	10	is	be	AUX
ejpam-4922	89	11	always	always	ADV
ejpam-4922	89	12	possible	possible	ADJ
ejpam-4922	89	13	to	to	PART
ejpam-4922	89	14	find	find	VERB
ejpam-4922	89	15	three	three	NUM
ejpam-4922	89	16	mutually	mutually	ADV
ejpam-4922	89	17	orthogonal	orthogonal	ADJ
ejpam-4922	89	18	directions	direction	NOUN
ejpam-4922	89	19	in	in	ADP
ejpam-4922	89	20	space	space	NOUN
ejpam-4922	89	21	such	such	ADJ
ejpam-4922	89	22	that	that	SCONJ
ejpam-4922	89	23	when	when	SCONJ
ejpam-4922	89	24	these	these	DET
ejpam-4922	89	25	directions	direction	NOUN
ejpam-4922	89	26	are	be	AUX
ejpam-4922	89	27	chosen	choose	VERB
ejpam-4922	89	28	as	as	ADP
ejpam-4922	89	29	the	the	DET
ejpam-4922	89	30	coordinate	coordinate	NOUN
ejpam-4922	89	31	system	system	NOUN
ejpam-4922	89	32	for	for	ADP
ejpam-4922	89	33	expressing	express	VERB
ejpam-4922	89	34	the	the	DET
ejpam-4922	89	35	components	component	NOUN
ejpam-4922	89	36	,	,	PUNCT
ejpam-4922	89	37	we	we	PRON
ejpam-4922	89	38	find	find	VERB
ejpam-4922	89	39	that	that	SCONJ
ejpam-4922	89	40	kij	kij	PROPN
ejpam-4922	89	41	=	=	PROPN
ejpam-4922	89	42	0	0	PROPN
ejpam-4922	89	43	for	for	ADP
ejpam-4922	89	44	i	i	PRON
ejpam-4922	89	45	̸=	̸=	PROPN
ejpam-4922	89	46	j	j	PROPN
ejpam-4922	89	47	(	(	PUNCT
ejpam-4922	89	48	20	20	NUM
ejpam-4922	89	49	)	)	PUNCT
ejpam-4922	89	50	kij	kij	PROPN
ejpam-4922	89	51	̸=	̸=	PROPN
ejpam-4922	89	52	0	0	NUM
ejpam-4922	89	53	for	for	ADP
ejpam-4922	89	54	i	i	PRON
ejpam-4922	89	55	=	=	SYM
ejpam-4922	89	56	j	j	PROPN
ejpam-4922	89	57	(	(	PUNCT
ejpam-4922	89	58	21	21	NUM
ejpam-4922	89	59	)	)	PUNCT
ejpam-4922	89	60	these	these	DET
ejpam-4922	89	61	directions	direction	NOUN
ejpam-4922	89	62	in	in	ADP
ejpam-4922	89	63	space	space	NOUN
ejpam-4922	89	64	are	be	AUX
ejpam-4922	89	65	called	call	VERB
ejpam-4922	89	66	principal	principal	ADJ
ejpam-4922	89	67	directions	direction	NOUN
ejpam-4922	89	68	of	of	ADP
ejpam-4922	89	69	the	the	DET
ejpam-4922	89	70	hydraulic	hydraulic	ADJ
ejpam-4922	89	71	conductivity	conductivity	NOUN
ejpam-4922	89	72	tensor	tensor	NOUN
ejpam-4922	89	73	(	(	PUNCT
ejpam-4922	89	74	of	of	ADP
ejpam-4922	89	75	the	the	DET
ejpam-4922	89	76	anisotropic	anisotropic	NOUN
ejpam-4922	89	77	porous	porous	ADJ
ejpam-4922	89	78	medium	medium	NOUN
ejpam-4922	89	79	)	)	PUNCT
ejpam-4922	89	80	.	.	PUNCT
ejpam-4922	90	1	in	in	ADP
ejpam-4922	90	2	a	a	DET
ejpam-4922	90	3	heterogeneous	heterogeneous	ADJ
ejpam-4922	90	4	porous	porous	ADJ
ejpam-4922	90	5	medium	medium	ADJ
ejpam-4922	90	6	domain	domain	NOUN
ejpam-4922	90	7	,	,	PUNCT
ejpam-4922	90	8	the	the	DET
ejpam-4922	90	9	principal	principal	ADJ
ejpam-4922	90	10	directions	direction	NOUN
ejpam-4922	90	11	may	may	AUX
ejpam-4922	90	12	vary	vary	VERB
ejpam-4922	90	13	from	from	ADP
ejpam-4922	90	14	point	point	NOUN
ejpam-4922	90	15	to	to	PART
ejpam-4922	90	16	point	point	VERB
ejpam-4922	90	17	.	.	PUNCT
ejpam-4922	91	1	when	when	SCONJ
ejpam-4922	91	2	the	the	DET
ejpam-4922	91	3	principal	principal	ADJ
ejpam-4922	91	4	directions	direction	NOUN
ejpam-4922	91	5	are	be	AUX
ejpam-4922	91	6	aligned	align	VERB
ejpam-4922	91	7	with	with	ADP
ejpam-4922	91	8	the	the	DET
ejpam-4922	91	9	selected	select	VERB
ejpam-4922	91	10	coordinate	coordinate	NOUN
ejpam-4922	91	11	system	system	NOUN
ejpam-4922	91	12	,	,	PUNCT
ejpam-4922	91	13	then	then	ADV
ejpam-4922	91	14	we	we	PRON
ejpam-4922	91	15	have	have	VERB
ejpam-4922	91	16	,	,	PUNCT
ejpam-4922	91	17	in	in	ADP
ejpam-4922	91	18	three	three	NUM
ejpam-4922	91	19	-	-	PUNCT
ejpam-4922	91	20	dimensional	dimensional	ADJ
ejpam-4922	91	21	space	space	NOUN
ejpam-4922	91	22	k	k	PROPN
ejpam-4922	92	1	=	=	PUNCT
ejpam-4922	92	2	kxx	kxx	NUM
ejpam-4922	92	3	0	0	NUM
ejpam-4922	92	4	0	0	SYM
ejpam-4922	92	5	0	0	NUM
ejpam-4922	92	6	kyy	kyy	PROPN
ejpam-4922	92	7	0	0	NUM
ejpam-4922	92	8	0	0	SYM
ejpam-4922	92	9	0	0	NUM
ejpam-4922	92	10	kzz	kzz	NOUN
ejpam-4922	92	11			NOUN
ejpam-4922	92	12	(	(	PUNCT
ejpam-4922	92	13	22	22	NUM
ejpam-4922	92	14	)	)	PUNCT
ejpam-4922	92	15	and	and	CCONJ
ejpam-4922	92	16	in	in	ADP
ejpam-4922	92	17	two	two	NUM
ejpam-4922	92	18	dimension	dimension	NOUN
ejpam-4922	92	19	space	space	NOUN
ejpam-4922	92	20	k	k	PROPN
ejpam-4922	93	1	=	=	PUNCT
ejpam-4922	94	1	[	[	PUNCT
ejpam-4922	94	2	kxx	kxx	NOUN
ejpam-4922	94	3	0	0	NUM
ejpam-4922	94	4	0	0	NUM
ejpam-4922	94	5	kyy	kyy	PROPN
ejpam-4922	94	6	]	]	PUNCT
ejpam-4922	94	7	(	(	PUNCT
ejpam-4922	94	8	23	23	NUM
ejpam-4922	94	9	)	)	PUNCT
ejpam-4922	94	10	thus	thus	ADV
ejpam-4922	94	11	,	,	PUNCT
ejpam-4922	94	12	in	in	ADP
ejpam-4922	94	13	the	the	DET
ejpam-4922	94	14	case	case	NOUN
ejpam-4922	94	15	of	of	ADP
ejpam-4922	94	16	an	an	DET
ejpam-4922	94	17	anisotropic	anisotropic	NOUN
ejpam-4922	94	18	porous	porous	ADJ
ejpam-4922	94	19	medium	medium	NOUN
ejpam-4922	94	20	,	,	PUNCT
ejpam-4922	94	21	if	if	SCONJ
ejpam-4922	94	22	the	the	DET
ejpam-4922	94	23	coordinate	coordinate	NOUN
ejpam-4922	94	24	axes	axis	NOUN
ejpam-4922	94	25	are	be	AUX
ejpam-4922	94	26	oriented	orient	VERB
ejpam-4922	94	27	along	along	ADP
ejpam-4922	94	28	the	the	DET
ejpam-4922	94	29	main	main	ADJ
ejpam-4922	94	30	axes	axis	NOUN
ejpam-4922	94	31	of	of	ADP
ejpam-4922	94	32	anisotropy	anisotropy	NOUN
ejpam-4922	94	33	,	,	PUNCT
ejpam-4922	94	34	the	the	DET
ejpam-4922	94	35	specific	specific	ADJ
ejpam-4922	94	36	discharges	discharge	NOUN
ejpam-4922	94	37	along	along	ADP
ejpam-4922	94	38	the	the	DET
ejpam-4922	94	39	3	3	NUM
ejpam-4922	94	40	axes	axis	NOUN
ejpam-4922	94	41	are	be	AUX
ejpam-4922	94	42	:	:	PUNCT
ejpam-4922	94	43	c.	c.	PROPN
ejpam-4922	94	44	j.	j.	PROPN
ejpam-4922	94	45	itoua	itoua	PROPN
ejpam-4922	94	46	-	-	PUNCT
ejpam-4922	94	47	tsele	tsele	NOUN
ejpam-4922	94	48	,	,	PUNCT
ejpam-4922	94	49	a.	a.	PROPN
ejpam-4922	94	50	f.	f.	PROPN
ejpam-4922	94	51	ouassissou	ouassissou	PROPN
ejpam-4922	94	52	/	/	SYM
ejpam-4922	94	53	eur	eur	PROPN
ejpam-4922	94	54	.	.	PUNCT
ejpam-4922	95	1	j.	j.	PROPN
ejpam-4922	95	2	pure	pure	PROPN
ejpam-4922	95	3	appl	appl	PROPN
ejpam-4922	95	4	.	.	PROPN
ejpam-4922	95	5	math	math	PROPN
ejpam-4922	95	6	,	,	PUNCT
ejpam-4922	95	7	16	16	NUM
ejpam-4922	95	8	(	(	PUNCT
ejpam-4922	95	9	4	4	NUM
ejpam-4922	95	10	)	)	PUNCT
ejpam-4922	95	11	(	(	PUNCT
ejpam-4922	95	12	2023	2023	NUM
ejpam-4922	95	13	)	)	PUNCT
ejpam-4922	95	14	,	,	PUNCT
ejpam-4922	95	15	2169	2169	NUM
ejpam-4922	95	16	-	-	SYM
ejpam-4922	95	17	2186	2186	NUM
ejpam-4922	95	18	2176	2176	NUM
ejpam-4922	95	19	qx	qx	PROPN
ejpam-4922	95	20	=	=	INTJ
ejpam-4922	95	21	kxxjx	kxxjx	NOUN
ejpam-4922	95	22	=	=	PUNCT
ejpam-4922	95	23	−kxx	−kxx	NUM
ejpam-4922	95	24	∂h	∂h	PROPN
ejpam-4922	95	25	∂x	∂x	PROPN
ejpam-4922	95	26	,	,	PUNCT
ejpam-4922	95	27	(	(	PUNCT
ejpam-4922	95	28	24	24	NUM
ejpam-4922	95	29	)	)	PUNCT
ejpam-4922	95	30	qy	qy	NOUN
ejpam-4922	95	31	=	=	SYM
ejpam-4922	95	32	kyyjy	kyyjy	PROPN
ejpam-4922	95	33	=	=	PUNCT
ejpam-4922	95	34	−kyy	−kyy	NOUN
ejpam-4922	96	1	∂h	∂h	PROPN
ejpam-4922	96	2	∂y	∂y	PRON
ejpam-4922	96	3	,	,	PUNCT
ejpam-4922	96	4	(	(	PUNCT
ejpam-4922	96	5	25	25	NUM
ejpam-4922	96	6	)	)	PUNCT
ejpam-4922	96	7	qz	qz	NOUN
ejpam-4922	96	8	=	=	PROPN
ejpam-4922	96	9	kzzjz	kzzjz	PROPN
ejpam-4922	96	10	=	=	PUNCT
ejpam-4922	96	11	−kzz	−kzz	PROPN
ejpam-4922	96	12	∂h	∂h	PROPN
ejpam-4922	96	13	∂z	∂z	PROPN
ejpam-4922	96	14	.	.	PUNCT
ejpam-4922	97	1	(	(	PUNCT
ejpam-4922	97	2	26	26	NUM
ejpam-4922	97	3	)	)	PUNCT
ejpam-4922	97	4	because	because	SCONJ
ejpam-4922	97	5	the	the	DET
ejpam-4922	97	6	hydraulic	hydraulic	ADJ
ejpam-4922	97	7	conductivity	conductivity	NOUN
ejpam-4922	97	8	is	be	AUX
ejpam-4922	97	9	related	relate	VERB
ejpam-4922	97	10	to	to	ADP
ejpam-4922	97	11	the	the	DET
ejpam-4922	97	12	permeability	permeability	NOUN
ejpam-4922	97	13	by	by	ADP
ejpam-4922	97	14	the	the	DET
ejpam-4922	97	15	scalar	scalar	ADJ
ejpam-4922	97	16	factor	factor	NOUN
ejpam-4922	97	17	k	k	PROPN
ejpam-4922	98	1	=	=	PUNCT
ejpam-4922	98	2	ρgk	ρgk	PROPN
ejpam-4922	98	3	µ	µ	X
ejpam-4922	98	4	,	,	PUNCT
ejpam-4922	98	5	the	the	DET
ejpam-4922	98	6	permeability	permeability	NOUN
ejpam-4922	98	7	of	of	ADP
ejpam-4922	98	8	an	an	DET
ejpam-4922	98	9	anisotropic	anisotropic	NOUN
ejpam-4922	98	10	porous	porous	ADJ
ejpam-4922	98	11	medium	medium	NOUN
ejpam-4922	98	12	is	be	AUX
ejpam-4922	98	13	also	also	ADV
ejpam-4922	98	14	a	a	DET
ejpam-4922	98	15	second	second	ADJ
ejpam-4922	98	16	rank	rank	NOUN
ejpam-4922	98	17	tensor	tensor	NOUN
ejpam-4922	98	18	.	.	PUNCT
ejpam-4922	99	1	in	in	ADP
ejpam-4922	99	2	fact	fact	NOUN
ejpam-4922	99	3	,	,	PUNCT
ejpam-4922	99	4	it	it	PRON
ejpam-4922	99	5	is	be	AUX
ejpam-4922	99	6	the	the	DET
ejpam-4922	99	7	tensorial	tensorial	ADJ
ejpam-4922	99	8	nature	nature	NOUN
ejpam-4922	99	9	of	of	ADP
ejpam-4922	99	10	the	the	DET
ejpam-4922	99	11	permeability	permeability	NOUN
ejpam-4922	99	12	that	that	PRON
ejpam-4922	99	13	determines	determine	VERB
ejpam-4922	99	14	the	the	DET
ejpam-4922	99	15	tensorial	tensorial	ADJ
ejpam-4922	99	16	nature	nature	NOUN
ejpam-4922	99	17	of	of	ADP
ejpam-4922	99	18	the	the	DET
ejpam-4922	99	19	hydraulic	hydraulic	ADJ
ejpam-4922	99	20	conductivity	conductivity	NOUN
ejpam-4922	99	21	.	.	PUNCT
ejpam-4922	100	1	sometimes	sometimes	ADV
ejpam-4922	100	2	the	the	DET
ejpam-4922	100	3	orientation	orientation	NOUN
ejpam-4922	100	4	of	of	ADP
ejpam-4922	100	5	the	the	DET
ejpam-4922	100	6	anisotropy	anisotropy	NOUN
ejpam-4922	100	7	directions	direction	NOUN
ejpam-4922	100	8	varies	vary	VERB
ejpam-4922	100	9	along	along	ADP
ejpam-4922	100	10	the	the	DET
ejpam-4922	100	11	hydrogeological	hydrogeological	ADJ
ejpam-4922	100	12	structure	structure	NOUN
ejpam-4922	100	13	and	and	CCONJ
ejpam-4922	100	14	thus	thus	ADV
ejpam-4922	100	15	it	it	PRON
ejpam-4922	100	16	is	be	AUX
ejpam-4922	100	17	not	not	PART
ejpam-4922	100	18	possible	possible	ADJ
ejpam-4922	100	19	to	to	PART
ejpam-4922	100	20	properly	properly	ADV
ejpam-4922	100	21	choose	choose	VERB
ejpam-4922	100	22	the	the	DET
ejpam-4922	100	23	axes	axis	NOUN
ejpam-4922	100	24	of	of	ADP
ejpam-4922	100	25	the	the	DET
ejpam-4922	100	26	coordinate	coordinate	NOUN
ejpam-4922	100	27	systems	system	NOUN
ejpam-4922	100	28	to	to	PART
ejpam-4922	100	29	satisfy	satisfy	VERB
ejpam-4922	100	30	the	the	DET
ejpam-4922	100	31	above	above	ADV
ejpam-4922	100	32	-	-	PUNCT
ejpam-4922	100	33	mentioned	mention	VERB
ejpam-4922	100	34	requirements	requirement	NOUN
ejpam-4922	100	35	.	.	PUNCT
ejpam-4922	101	1	the	the	DET
ejpam-4922	101	2	components	component	NOUN
ejpam-4922	101	3	of	of	ADP
ejpam-4922	101	4	the	the	DET
ejpam-4922	101	5	tensor	tensor	NOUN
ejpam-4922	101	6	k	k	PROPN
ejpam-4922	101	7	in	in	ADP
ejpam-4922	101	8	a	a	DET
ejpam-4922	101	9	threedimensional	threedimensional	ADJ
ejpam-4922	101	10	space	space	NOUN
ejpam-4922	101	11	,	,	PUNCT
ejpam-4922	101	12	can	can	AUX
ejpam-4922	101	13	be	be	AUX
ejpam-4922	101	14	written	write	VERB
ejpam-4922	101	15	in	in	ADP
ejpam-4922	101	16	the	the	DET
ejpam-4922	101	17	matrix	matrix	NOUN
ejpam-4922	101	18	form	form	NOUN
ejpam-4922	101	19	k	k	NOUN
ejpam-4922	101	20	=	=	NOUN
ejpam-4922	101	21			NOUN
ejpam-4922	101	22	kxx	kxx	NOUN
ejpam-4922	101	23	kxy	kxy	NOUN
ejpam-4922	101	24	kxz	kxz	PROPN
ejpam-4922	101	25	kyx	kyx	PROPN
ejpam-4922	101	26	kyy	kyy	PROPN
ejpam-4922	101	27	kyz	kyz	PROPN
ejpam-4922	101	28	kzx	kzx	PROPN
ejpam-4922	101	29	kzy	kzy	PROPN
ejpam-4922	101	30	kzz	kzz	PROPN
ejpam-4922	101	31			PROPN
ejpam-4922	101	32	(	(	PUNCT
ejpam-4922	101	33	27	27	NUM
ejpam-4922	101	34	)	)	PUNCT
ejpam-4922	101	35	and	and	CCONJ
ejpam-4922	101	36	in	in	ADP
ejpam-4922	101	37	a	a	DET
ejpam-4922	101	38	two	two	NUM
ejpam-4922	101	39	-	-	PUNCT
ejpam-4922	101	40	dimensional	dimensional	ADJ
ejpam-4922	101	41	space	space	NOUN
ejpam-4922	101	42	,	,	PUNCT
ejpam-4922	101	43	as	as	ADP
ejpam-4922	101	44	k	k	PROPN
ejpam-4922	101	45	=	=	PRON
ejpam-4922	101	46	[	[	PUNCT
ejpam-4922	101	47	kxx	kxx	NOUN
ejpam-4922	101	48	kxy	kxy	NOUN
ejpam-4922	101	49	kyx	kyx	PROPN
ejpam-4922	101	50	kyy	kyy	PROPN
ejpam-4922	101	51	]	]	PUNCT
ejpam-4922	101	52	(	(	PUNCT
ejpam-4922	101	53	28	28	NUM
ejpam-4922	101	54	)	)	PUNCT
ejpam-4922	101	55	the	the	DET
ejpam-4922	101	56	hydraulic	hydraulic	ADJ
ejpam-4922	101	57	conductivity	conductivity	NOUN
ejpam-4922	101	58	tensor	tensor	NOUN
ejpam-4922	101	59	is	be	AUX
ejpam-4922	101	60	symmetric	symmetric	ADJ
ejpam-4922	101	61	,	,	PUNCT
ejpam-4922	101	62	that	that	PRON
ejpam-4922	101	63	is	is	ADV
ejpam-4922	101	64	kxy	kxy	NOUN
ejpam-4922	101	65	=	=	SYM
ejpam-4922	101	66	kyx	kyx	PROPN
ejpam-4922	101	67	,	,	PUNCT
ejpam-4922	101	68	(	(	PUNCT
ejpam-4922	101	69	29	29	NUM
ejpam-4922	101	70	)	)	PUNCT
ejpam-4922	101	71	kxz	kxz	PROPN
ejpam-4922	101	72	=	=	SYM
ejpam-4922	101	73	kzx	kzx	PROPN
ejpam-4922	101	74	,	,	PUNCT
ejpam-4922	101	75	(	(	PUNCT
ejpam-4922	101	76	30	30	X
ejpam-4922	101	77	)	)	PUNCT
ejpam-4922	101	78	kyz	kyz	NOUN
ejpam-4922	101	79	=	=	PUNCT
ejpam-4922	101	80	kzy	kzy	PROPN
ejpam-4922	101	81	.	.	PUNCT
ejpam-4922	102	1	(	(	PUNCT
ejpam-4922	102	2	31	31	NUM
ejpam-4922	102	3	)	)	PUNCT
ejpam-4922	102	4	this	this	PRON
ejpam-4922	102	5	means	mean	VERB
ejpam-4922	102	6	that	that	SCONJ
ejpam-4922	102	7	actually	actually	ADV
ejpam-4922	102	8	only	only	ADV
ejpam-4922	102	9	six	six	NUM
ejpam-4922	102	10	distinct	distinct	ADJ
ejpam-4922	102	11	components	component	NOUN
ejpam-4922	102	12	are	be	AUX
ejpam-4922	102	13	needed	need	VERB
ejpam-4922	102	14	to	to	PART
ejpam-4922	102	15	fully	fully	ADV
ejpam-4922	102	16	define	define	VERB
ejpam-4922	102	17	the	the	DET
ejpam-4922	102	18	hydraulic	hydraulic	ADJ
ejpam-4922	102	19	conductivity	conductivity	NOUN
ejpam-4922	102	20	in	in	ADP
ejpam-4922	102	21	a	a	DET
ejpam-4922	102	22	three	three	NUM
ejpam-4922	102	23	-	-	PUNCT
ejpam-4922	102	24	dimensional	dimensional	ADJ
ejpam-4922	102	25	domain	domain	NOUN
ejpam-4922	102	26	(	(	PUNCT
ejpam-4922	102	27	and	and	CCONJ
ejpam-4922	102	28	only	only	ADV
ejpam-4922	102	29	three	three	NUM
ejpam-4922	102	30	in	in	ADP
ejpam-4922	102	31	a	a	DET
ejpam-4922	102	32	two	two	NUM
ejpam-4922	102	33	-	-	PUNCT
ejpam-4922	102	34	dimensional	dimensional	ADJ
ejpam-4922	102	35	one	one	NUM
ejpam-4922	102	36	)	)	PUNCT
ejpam-4922	102	37	.	.	PUNCT
ejpam-4922	103	1	furthermore	furthermore	ADV
ejpam-4922	103	2	,	,	PUNCT
ejpam-4922	103	3	the	the	DET
ejpam-4922	103	4	coefficients	coefficient	NOUN
ejpam-4922	103	5	are	be	AUX
ejpam-4922	103	6	non	non	ADJ
ejpam-4922	103	7	-	-	ADJ
ejpam-4922	103	8	negative	negative	ADJ
ejpam-4922	103	9	.	.	PUNCT
ejpam-4922	104	1	the	the	DET
ejpam-4922	104	2	specific	specific	ADJ
ejpam-4922	104	3	discharge	discharge	NOUN
ejpam-4922	104	4	given	give	VERB
ejpam-4922	104	5	by	by	ADP
ejpam-4922	104	6	the	the	DET
ejpam-4922	104	7	relation	relation	NOUN
ejpam-4922	104	8	(	(	PUNCT
ejpam-4922	104	9	18	18	NUM
ejpam-4922	104	10	)	)	PUNCT
ejpam-4922	104	11	has	have	VERB
ejpam-4922	104	12	the	the	DET
ejpam-4922	104	13	following	follow	VERB
ejpam-4922	104	14	components:	components:	PROPN
ejpam-4922	104	15	qx	qx	PROPN
ejpam-4922	104	16	=	=	PROPN
ejpam-4922	104	17	−kxx	−kxx	NOUN
ejpam-4922	104	18	µ	µ	DET
ejpam-4922	104	19	∂p	∂p	PROPN
ejpam-4922	104	20	∂x	∂x	PROPN
ejpam-4922	104	21	−	−	PROPN
ejpam-4922	104	22	kxy	kxy	NOUN
ejpam-4922	104	23	µ	µ	X
ejpam-4922	104	24	∂p	∂p	PROPN
ejpam-4922	104	25	∂x	∂x	PROPN
ejpam-4922	104	26	−	−	PROPN
ejpam-4922	104	27	kxz	kxz	PROPN
ejpam-4922	104	28	µ	µ	X
ejpam-4922	104	29	(	(	PUNCT
ejpam-4922	104	30	ρg	ρg	PROPN
ejpam-4922	104	31	+	+	CCONJ
ejpam-4922	104	32	∂p	∂p	PROPN
ejpam-4922	104	33	∂z	∂z	PROPN
ejpam-4922	104	34	)	)	PUNCT
ejpam-4922	104	35	qy	qy	PROPN
ejpam-4922	104	36	=	=	SYM
ejpam-4922	104	37	−kyx	−kyx	NUM
ejpam-4922	104	38	µ	µ	PROPN
ejpam-4922	104	39	∂p	∂p	PROPN
ejpam-4922	104	40	∂x	∂x	PROPN
ejpam-4922	105	1	−	−	PROPN
ejpam-4922	105	2	kyy	kyy	PROPN
ejpam-4922	105	3	µ	µ	PROPN
ejpam-4922	105	4	∂p	∂p	PROPN
ejpam-4922	105	5	∂x	∂x	PROPN
ejpam-4922	105	6	−	−	PROPN
ejpam-4922	105	7	kyz	kyz	PROPN
ejpam-4922	105	8	µ	µ	X
ejpam-4922	105	9	(	(	PUNCT
ejpam-4922	105	10	ρg	ρg	PROPN
ejpam-4922	105	11	+	+	CCONJ
ejpam-4922	105	12	∂p	∂p	PROPN
ejpam-4922	105	13	∂z	∂z	PROPN
ejpam-4922	105	14	)	)	PUNCT
ejpam-4922	105	15	qz	qz	PROPN
ejpam-4922	105	16	=	=	PUNCT
ejpam-4922	105	17	−kzx	−kzx	X
ejpam-4922	105	18	µ	µ	X
ejpam-4922	105	19	∂p	∂p	PROPN
ejpam-4922	105	20	∂x	∂x	PROPN
ejpam-4922	105	21	−	−	PROPN
ejpam-4922	105	22	kzy	kzy	X
ejpam-4922	105	23	µ	µ	X
ejpam-4922	105	24	∂p	∂p	PROPN
ejpam-4922	105	25	∂x	∂x	PROPN
ejpam-4922	105	26	−	−	NOUN
ejpam-4922	105	27	kzz	kzz	NOUN
ejpam-4922	105	28	µ	µ	X
ejpam-4922	105	29	(	(	PUNCT
ejpam-4922	105	30	ρg	ρg	PROPN
ejpam-4922	105	31	+	+	CCONJ
ejpam-4922	105	32	∂p	∂p	PROPN
ejpam-4922	105	33	∂z	∂z	PROPN
ejpam-4922	105	34	)	)	PUNCT
ejpam-4922	105	35	(	(	PUNCT
ejpam-4922	105	36	32	32	NUM
ejpam-4922	105	37	)	)	PUNCT
ejpam-4922	105	38	c.	c.	PROPN
ejpam-4922	105	39	j.	j.	PROPN
ejpam-4922	105	40	itoua	itoua	PROPN
ejpam-4922	105	41	-	-	PUNCT
ejpam-4922	105	42	tsele	tsele	NOUN
ejpam-4922	105	43	,	,	PUNCT
ejpam-4922	105	44	a.	a.	PROPN
ejpam-4922	105	45	f.	f.	PROPN
ejpam-4922	105	46	ouassissou	ouassissou	PROPN
ejpam-4922	105	47	/	/	SYM
ejpam-4922	105	48	eur	eur	PROPN
ejpam-4922	105	49	.	.	PUNCT
ejpam-4922	106	1	j.	j.	PROPN
ejpam-4922	106	2	pure	pure	PROPN
ejpam-4922	106	3	appl	appl	PROPN
ejpam-4922	106	4	.	.	PROPN
ejpam-4922	106	5	math	math	PROPN
ejpam-4922	106	6	,	,	PUNCT
ejpam-4922	106	7	16	16	NUM
ejpam-4922	106	8	(	(	PUNCT
ejpam-4922	106	9	4	4	NUM
ejpam-4922	106	10	)	)	PUNCT
ejpam-4922	106	11	(	(	PUNCT
ejpam-4922	106	12	2023	2023	NUM
ejpam-4922	106	13	)	)	PUNCT
ejpam-4922	106	14	,	,	PUNCT
ejpam-4922	106	15	2169	2169	NUM
ejpam-4922	106	16	-	-	SYM
ejpam-4922	106	17	2186	2186	NUM
ejpam-4922	106	18	2177	2177	NUM
ejpam-4922	106	19	finally	finally	ADV
ejpam-4922	106	20	,	,	PUNCT
ejpam-4922	106	21	when	when	SCONJ
ejpam-4922	106	22	the	the	DET
ejpam-4922	106	23	axes	axis	NOUN
ejpam-4922	106	24	of	of	ADP
ejpam-4922	106	25	coordinates	coordinate	NOUN
ejpam-4922	106	26	are	be	AUX
ejpam-4922	106	27	oriented	orient	VERB
ejpam-4922	106	28	along	along	ADP
ejpam-4922	106	29	the	the	DET
ejpam-4922	106	30	main	main	ADJ
ejpam-4922	106	31	axes	axis	NOUN
ejpam-4922	106	32	of	of	ADP
ejpam-4922	106	33	anisotropy	anisotropy	PROPN
ejpam-4922	106	34	,	,	PUNCT
ejpam-4922	106	35	the	the	DET
ejpam-4922	106	36	relations	relation	NOUN
ejpam-4922	106	37	(	(	PUNCT
ejpam-4922	106	38	32	32	NUM
ejpam-4922	106	39	)	)	PUNCT
ejpam-4922	106	40	become	become	VERB
ejpam-4922	106	41	:	:	PUNCT
ejpam-4922	106	42			PROPN
ejpam-4922	106	43	qx	qx	PROPN
ejpam-4922	106	44	=	=	NOUN
ejpam-4922	106	45	−kxx	−kxx	NOUN
ejpam-4922	106	46	µ	µ	PRON
ejpam-4922	106	47	∂p	∂p	PROPN
ejpam-4922	106	48	∂x	∂x	PROPN
ejpam-4922	106	49	qy	qy	NOUN
ejpam-4922	107	1	=	=	PROPN
ejpam-4922	108	1	−kyy	−kyy	NOUN
ejpam-4922	108	2	µ	µ	X
ejpam-4922	108	3	∂p	∂p	PROPN
ejpam-4922	108	4	∂y	∂y	PROPN
ejpam-4922	108	5	qz	qz	PROPN
ejpam-4922	108	6	=	=	PUNCT
ejpam-4922	108	7	−kzz	−kzz	X
ejpam-4922	108	8	µ	µ	X
ejpam-4922	108	9	(	(	PUNCT
ejpam-4922	108	10	ρg	ρg	PROPN
ejpam-4922	108	11	+	+	CCONJ
ejpam-4922	108	12	∂p	∂p	PROPN
ejpam-4922	108	13	∂z	∂z	PROPN
ejpam-4922	108	14	)	)	PUNCT
ejpam-4922	109	1	(	(	PUNCT
ejpam-4922	109	2	33	33	NUM
ejpam-4922	109	3	)	)	PUNCT
ejpam-4922	109	4	3.3	3.3	NUM
ejpam-4922	109	5	.	.	PUNCT
ejpam-4922	110	1	validity	validity	NOUN
ejpam-4922	110	2	of	of	ADP
ejpam-4922	110	3	darcy	darcy	PROPN
ejpam-4922	110	4	’s	’s	PART
ejpam-4922	110	5	law	law	PROPN
ejpam-4922	110	6	darcy	darcy	PROPN
ejpam-4922	110	7	’s	’s	PART
ejpam-4922	110	8	law	law	NOUN
ejpam-4922	110	9	is	be	AUX
ejpam-4922	110	10	only	only	ADV
ejpam-4922	110	11	applicable	applicable	ADJ
ejpam-4922	110	12	when	when	SCONJ
ejpam-4922	110	13	groundwater	groundwater	NOUN
ejpam-4922	110	14	flow	flow	NOUN
ejpam-4922	110	15	is	be	AUX
ejpam-4922	110	16	laminar	laminar	ADJ
ejpam-4922	110	17	[	[	X
ejpam-4922	110	18	8	8	NUM
ejpam-4922	110	19	]	]	PUNCT
ejpam-4922	110	20	.	.	PUNCT
ejpam-4922	111	1	the	the	DET
ejpam-4922	111	2	reynolds	reynolds	PROPN
ejpam-4922	111	3	number	number	NOUN
ejpam-4922	111	4	can	can	AUX
ejpam-4922	111	5	be	be	AUX
ejpam-4922	111	6	used	use	VERB
ejpam-4922	111	7	to	to	PART
ejpam-4922	111	8	determine	determine	VERB
ejpam-4922	111	9	if	if	SCONJ
ejpam-4922	111	10	the	the	DET
ejpam-4922	111	11	flow	flow	NOUN
ejpam-4922	111	12	is	be	AUX
ejpam-4922	111	13	laminar	laminar	ADJ
ejpam-4922	111	14	or	or	CCONJ
ejpam-4922	111	15	turbulent	turbulent	ADJ
ejpam-4922	111	16	.	.	PUNCT
ejpam-4922	112	1	rn	rn	PROPN
ejpam-4922	113	1	=	=	PROPN
ejpam-4922	113	2	ρvd	ρvd	PROPN
ejpam-4922	113	3	µ	µ	X
ejpam-4922	113	4	(	(	PUNCT
ejpam-4922	113	5	34	34	NUM
ejpam-4922	113	6	)	)	PUNCT
ejpam-4922	113	7	where	where	SCONJ
ejpam-4922	113	8	,	,	PUNCT
ejpam-4922	113	9	rn	rn	PROPN
ejpam-4922	113	10	is	be	AUX
ejpam-4922	113	11	the	the	DET
ejpam-4922	113	12	reynolds	reynolds	PROPN
ejpam-4922	113	13	number	number	PROPN
ejpam-4922	113	14	,	,	PUNCT
ejpam-4922	113	15	unitless	unitless	PROPN
ejpam-4922	113	16	ρ	ρ	PROPN
ejpam-4922	113	17	is	be	AUX
ejpam-4922	113	18	the	the	DET
ejpam-4922	113	19	fluid	fluid	ADJ
ejpam-4922	113	20	density	density	NOUN
ejpam-4922	113	21	,	,	PUNCT
ejpam-4922	113	22	kg	kg	PROPN
ejpam-4922	113	23	/	/	SYM
ejpam-4922	113	24	m3	m3	PROPN
ejpam-4922	113	25	v	v	NOUN
ejpam-4922	113	26	is	be	AUX
ejpam-4922	113	27	the	the	DET
ejpam-4922	113	28	velocity	velocity	NOUN
ejpam-4922	113	29	of	of	ADP
ejpam-4922	113	30	fluid	fluid	NOUN
ejpam-4922	113	31	,	,	PUNCT
ejpam-4922	113	32	m	m	PROPN
ejpam-4922	113	33	/	/	SYM
ejpam-4922	113	34	s	s	PART
ejpam-4922	113	35	d	d	NOUN
ejpam-4922	113	36	is	be	AUX
ejpam-4922	113	37	the	the	DET
ejpam-4922	113	38	diameter	diameter	NOUN
ejpam-4922	113	39	through	through	ADP
ejpam-4922	113	40	which	which	PRON
ejpam-4922	113	41	moves	move	VERB
ejpam-4922	113	42	,	,	PUNCT
ejpam-4922	113	43	m	m	VERB
ejpam-4922	113	44	µ	µ	VERB
ejpam-4922	113	45	is	be	AUX
ejpam-4922	113	46	the	the	DET
ejpam-4922	113	47	dynamic	dynamic	ADJ
ejpam-4922	113	48	viscosity	viscosity	NOUN
ejpam-4922	113	49	,	,	PUNCT
ejpam-4922	113	50	pa	pa	PROPN
ejpam-4922	113	51	s.	s.	PROPN
ejpam-4922	113	52	when	when	SCONJ
ejpam-4922	113	53	1	1	NUM
ejpam-4922	113	54	<	<	X
ejpam-4922	113	55	rn	rn	X
ejpam-4922	113	56	<	<	X
ejpam-4922	113	57	10	10	NUM
ejpam-4922	113	58	flow	flow	NOUN
ejpam-4922	113	59	is	be	AUX
ejpam-4922	113	60	considered	consider	VERB
ejpam-4922	113	61	to	to	PART
ejpam-4922	113	62	be	be	AUX
ejpam-4922	113	63	laminar	laminar	ADJ
ejpam-4922	113	64	.	.	PUNCT
ejpam-4922	114	1	3.4	3.4	NUM
ejpam-4922	114	2	.	.	PUNCT
ejpam-4922	115	1	the	the	DET
ejpam-4922	115	2	basic	basic	ADJ
ejpam-4922	115	3	continuity	continuity	NOUN
ejpam-4922	115	4	equation	equation	NOUN
ejpam-4922	115	5	in	in	ADP
ejpam-4922	115	6	order	order	NOUN
ejpam-4922	115	7	to	to	PART
ejpam-4922	115	8	derive	derive	VERB
ejpam-4922	115	9	the	the	DET
ejpam-4922	115	10	continuity	continuity	NOUN
ejpam-4922	115	11	equation	equation	NOUN
ejpam-4922	115	12	,	,	PUNCT
ejpam-4922	115	13	which	which	PRON
ejpam-4922	115	14	represents	represent	VERB
ejpam-4922	115	15	the	the	DET
ejpam-4922	115	16	flow	flow	NOUN
ejpam-4922	115	17	of	of	ADP
ejpam-4922	115	18	a	a	DET
ejpam-4922	115	19	single	single	ADJ
ejpam-4922	115	20	phase	phase	NOUN
ejpam-4922	115	21	fluid	fluid	NOUN
ejpam-4922	115	22	(	(	PUNCT
ejpam-4922	115	23	water	water	NOUN
ejpam-4922	115	24	)	)	PUNCT
ejpam-4922	115	25	at	at	ADP
ejpam-4922	115	26	constant	constant	ADJ
ejpam-4922	115	27	density	density	NOUN
ejpam-4922	115	28	in	in	ADP
ejpam-4922	115	29	a	a	DET
ejpam-4922	115	30	continuous	continuous	ADJ
ejpam-4922	115	31	porous	porous	ADJ
ejpam-4922	115	32	medium	medium	NOUN
ejpam-4922	115	33	under	under	ADP
ejpam-4922	115	34	darcy	darcy	PROPN
ejpam-4922	115	35	’s	’s	PART
ejpam-4922	115	36	law	law	NOUN
ejpam-4922	115	37	,	,	PUNCT
ejpam-4922	115	38	[	[	X
ejpam-4922	115	39	1	1	X
ejpam-4922	115	40	]	]	PUNCT
ejpam-4922	115	41	used	use	VERB
ejpam-4922	115	42	euler	euler	PROPN
ejpam-4922	115	43	’s	’s	PART
ejpam-4922	115	44	approach	approach	NOUN
ejpam-4922	115	45	and	and	CCONJ
ejpam-4922	115	46	assumed	assume	VERB
ejpam-4922	115	47	that	that	SCONJ
ejpam-4922	115	48	close	close	ADV
ejpam-4922	115	49	to	to	ADP
ejpam-4922	115	50	the	the	DET
ejpam-4922	115	51	coast	coast	NOUN
ejpam-4922	115	52	,	,	PUNCT
ejpam-4922	115	53	the	the	DET
ejpam-4922	115	54	aquifer	aquifer	NOUN
ejpam-4922	115	55	is	be	AUX
ejpam-4922	115	56	divided	divide	VERB
ejpam-4922	115	57	into	into	ADP
ejpam-4922	115	58	two	two	NUM
ejpam-4922	115	59	sub	sub	NOUN
ejpam-4922	115	60	-	-	NOUN
ejpam-4922	115	61	aquifers	aquifer	NOUN
ejpam-4922	115	62	,	,	PUNCT
ejpam-4922	115	63	unconfined	unconfined	ADJ
ejpam-4922	115	64	and	and	CCONJ
ejpam-4922	115	65	confined	confined	ADJ
ejpam-4922	115	66	aquifers	aquifer	NOUN
ejpam-4922	115	67	;	;	PUNCT
ejpam-4922	115	68	flow	flow	NOUN
ejpam-4922	115	69	always	always	ADV
ejpam-4922	115	70	takes	take	VERB
ejpam-4922	115	71	place	place	NOUN
ejpam-4922	115	72	in	in	ADP
ejpam-4922	115	73	a	a	DET
ejpam-4922	115	74	threedimensional	threedimensional	NOUN
ejpam-4922	115	75	in	in	ADP
ejpam-4922	115	76	a	a	DET
ejpam-4922	115	77	small	small	ADJ
ejpam-4922	115	78	control	control	NOUN
ejpam-4922	115	79	volume	volume	NOUN
ejpam-4922	115	80	that	that	SCONJ
ejpam-4922	115	81	they	they	PRON
ejpam-4922	115	82	consider	consider	VERB
ejpam-4922	115	83	in	in	ADP
ejpam-4922	115	84	cartesian	cartesian	ADJ
ejpam-4922	115	85	coordinates	coordinate	NOUN
ejpam-4922	115	86	x	x	NOUN
ejpam-4922	115	87	,	,	PUNCT
ejpam-4922	115	88	y	y	PROPN
ejpam-4922	115	89	,	,	PUNCT
ejpam-4922	115	90	z	z	PROPN
ejpam-4922	115	91	,	,	PUNCT
ejpam-4922	115	92	(	(	PUNCT
ejpam-4922	115	93	see	see	VERB
ejpam-4922	115	94	figure	figure	NOUN
ejpam-4922	115	95	2	2	NUM
ejpam-4922	115	96	)	)	PUNCT
ejpam-4922	115	97	.	.	PUNCT
ejpam-4922	116	1	based	base	VERB
ejpam-4922	116	2	on	on	ADP
ejpam-4922	116	3	mass	mass	ADJ
ejpam-4922	116	4	conservation	conservation	NOUN
ejpam-4922	116	5	law	law	NOUN
ejpam-4922	116	6	and	and	CCONJ
ejpam-4922	116	7	darcy	darcy	PROPN
ejpam-4922	116	8	’s	’s	PART
ejpam-4922	116	9	equation	equation	NOUN
ejpam-4922	116	10	(	(	PUNCT
ejpam-4922	116	11	6	6	NUM
ejpam-4922	116	12	)	)	PUNCT
ejpam-4922	116	13	,	,	PUNCT
ejpam-4922	116	14	[	[	X
ejpam-4922	116	15	2	2	NUM
ejpam-4922	116	16	,	,	PUNCT
ejpam-4922	116	17	3	3	NUM
ejpam-4922	116	18	]	]	PUNCT
ejpam-4922	116	19	and	and	CCONJ
ejpam-4922	116	20	[	[	X
ejpam-4922	116	21	1	1	X
ejpam-4922	116	22	]	]	PUNCT
ejpam-4922	116	23	developed	develop	VERB
ejpam-4922	116	24	the	the	DET
ejpam-4922	116	25	mathematical	mathematical	ADJ
ejpam-4922	116	26	equation	equation	NOUN
ejpam-4922	116	27	describing	describe	VERB
ejpam-4922	116	28	the	the	DET
ejpam-4922	116	29	unsteady	unsteady	ADJ
ejpam-4922	116	30	state	state	NOUN
ejpam-4922	116	31	groundwater	groundwater	NOUN
ejpam-4922	116	32	flow	flow	NOUN
ejpam-4922	116	33	in	in	ADP
ejpam-4922	116	34	heterogeneous	heterogeneous	ADJ
ejpam-4922	116	35	and	and	CCONJ
ejpam-4922	116	36	anisotropic	anisotropic	NOUN
ejpam-4922	116	37	confined	confine	VERB
ejpam-4922	116	38	aquifer	aquifer	NOUN
ejpam-4922	116	39	used	use	VERB
ejpam-4922	116	40	in	in	ADP
ejpam-4922	116	41	modflow	modflow	NOUN
ejpam-4922	116	42	:	:	PUNCT
ejpam-4922	116	43	s0	s0	PROPN
ejpam-4922	116	44	∂h	∂h	PROPN
ejpam-4922	116	45	∂t	∂t	PROPN
ejpam-4922	116	46	=	=	SYM
ejpam-4922	116	47	∇	∇	X
ejpam-4922	116	48	·	·	PUNCT
ejpam-4922	116	49	(	(	PUNCT
ejpam-4922	116	50	k∇h	k∇h	NOUN
ejpam-4922	116	51	)	)	PUNCT
ejpam-4922	116	52	+	+	NOUN
ejpam-4922	116	53	g	g	NOUN
ejpam-4922	116	54	,	,	PUNCT
ejpam-4922	116	55	(	(	PUNCT
ejpam-4922	116	56	35	35	NUM
ejpam-4922	116	57	)	)	PUNCT
ejpam-4922	116	58	where	where	SCONJ
ejpam-4922	116	59	s0	s0	PROPN
ejpam-4922	116	60	is	be	AUX
ejpam-4922	116	61	the	the	DET
ejpam-4922	116	62	specific	specific	ADJ
ejpam-4922	116	63	storage	storage	NOUN
ejpam-4922	116	64	(	(	PUNCT
ejpam-4922	116	65	m−1	m−1	PROPN
ejpam-4922	116	66	)	)	PUNCT
ejpam-4922	116	67	,	,	PUNCT
ejpam-4922	116	68	h	h	NOUN
ejpam-4922	116	69	is	be	AUX
ejpam-4922	116	70	the	the	DET
ejpam-4922	116	71	hydraulic	hydraulic	ADJ
ejpam-4922	116	72	head	head	NOUN
ejpam-4922	116	73	(	(	PUNCT
ejpam-4922	116	74	m	m	NOUN
ejpam-4922	116	75	)	)	PUNCT
ejpam-4922	116	76	,	,	PUNCT
ejpam-4922	116	77	k	k	PROPN
ejpam-4922	116	78	is	be	AUX
ejpam-4922	116	79	the	the	DET
ejpam-4922	116	80	hydraulic	hydraulic	ADJ
ejpam-4922	116	81	conductivity	conductivity	NOUN
ejpam-4922	116	82	tensor	tensor	NOUN
ejpam-4922	116	83	(	(	PUNCT
ejpam-4922	116	84	m	m	PROPN
ejpam-4922	116	85	/	/	SYM
ejpam-4922	116	86	s	s	PART
ejpam-4922	116	87	)	)	PUNCT
ejpam-4922	116	88	and	and	CCONJ
ejpam-4922	116	89	g	g	PROPN
ejpam-4922	116	90	is	be	AUX
ejpam-4922	116	91	the	the	DET
ejpam-4922	116	92	sink	sink	NOUN
ejpam-4922	116	93	/	/	SYM
ejpam-4922	116	94	source	source	NOUN
ejpam-4922	116	95	term	term	NOUN
ejpam-4922	116	96	(	(	PUNCT
ejpam-4922	116	97	m−1	m−1	PROPN
ejpam-4922	116	98	)	)	PUNCT
ejpam-4922	116	99	of	of	ADP
ejpam-4922	116	100	water	water	NOUN
ejpam-4922	116	101	,	,	PUNCT
ejpam-4922	116	102	where	where	SCONJ
ejpam-4922	116	103	negative	negative	ADJ
ejpam-4922	116	104	values	value	NOUN
ejpam-4922	116	105	are	be	AUX
ejpam-4922	116	106	extractions	extraction	NOUN
ejpam-4922	116	107	,	,	PUNCT
ejpam-4922	116	108	and	and	CCONJ
ejpam-4922	116	109	positive	positive	ADJ
ejpam-4922	116	110	values	value	NOUN
ejpam-4922	116	111	are	be	AUX
ejpam-4922	116	112	injections	injection	NOUN
ejpam-4922	116	113	and	and	CCONJ
ejpam-4922	116	114	t	t	PROPN
ejpam-4922	116	115	is	be	AUX
ejpam-4922	116	116	time	time	NOUN
ejpam-4922	116	117	(	(	PUNCT
ejpam-4922	116	118	s	s	NOUN
ejpam-4922	116	119	)	)	PUNCT
ejpam-4922	116	120	.	.	PUNCT
ejpam-4922	117	1	c.	c.	PROPN
ejpam-4922	117	2	j.	j.	PROPN
ejpam-4922	117	3	itoua	itoua	PROPN
ejpam-4922	117	4	-	-	PUNCT
ejpam-4922	117	5	tsele	tsele	NOUN
ejpam-4922	117	6	,	,	PUNCT
ejpam-4922	117	7	a.	a.	PROPN
ejpam-4922	117	8	f.	f.	PROPN
ejpam-4922	117	9	ouassissou	ouassissou	PROPN
ejpam-4922	117	10	/	/	SYM
ejpam-4922	117	11	eur	eur	PROPN
ejpam-4922	117	12	.	.	PUNCT
ejpam-4922	118	1	j.	j.	PROPN
ejpam-4922	118	2	pure	pure	PROPN
ejpam-4922	118	3	appl	appl	PROPN
ejpam-4922	118	4	.	.	PROPN
ejpam-4922	118	5	math	math	PROPN
ejpam-4922	118	6	,	,	PUNCT
ejpam-4922	118	7	16	16	NUM
ejpam-4922	118	8	(	(	PUNCT
ejpam-4922	118	9	4	4	NUM
ejpam-4922	118	10	)	)	PUNCT
ejpam-4922	118	11	(	(	PUNCT
ejpam-4922	118	12	2023	2023	NUM
ejpam-4922	118	13	)	)	PUNCT
ejpam-4922	118	14	,	,	PUNCT
ejpam-4922	118	15	2169	2169	NUM
ejpam-4922	118	16	-	-	SYM
ejpam-4922	118	17	2186	2186	NUM
ejpam-4922	118	18	2178	2178	NUM
ejpam-4922	118	19	figure	figure	NOUN
ejpam-4922	118	20	2	2	NUM
ejpam-4922	118	21	:	:	PUNCT
ejpam-4922	118	22	representative	representative	ADJ
ejpam-4922	118	23	elementary	elementary	ADJ
ejpam-4922	118	24	volume	volume	NOUN
ejpam-4922	118	25	in	in	ADP
ejpam-4922	118	26	a	a	DET
ejpam-4922	118	27	confined	confine	VERB
ejpam-4922	118	28	aquifer	aquifer	NOUN
ejpam-4922	118	29	4	4	NUM
ejpam-4922	118	30	.	.	X
ejpam-4922	118	31	vertically	vertically	ADV
ejpam-4922	118	32	integrated	integrate	VERB
ejpam-4922	118	33	equations	equation	NOUN
ejpam-4922	118	34	of	of	ADP
ejpam-4922	118	35	confined	confine	VERB
ejpam-4922	118	36	aquifer	aquifer	NOUN
ejpam-4922	118	37	in	in	ADP
ejpam-4922	118	38	two	two	NUM
ejpam-4922	118	39	-	-	PUNCT
ejpam-4922	118	40	dimension	dimension	NOUN
ejpam-4922	118	41	4.1	4.1	NUM
ejpam-4922	118	42	.	.	PUNCT
ejpam-4922	119	1	deriving	derive	VERB
ejpam-4922	119	2	2	2	NUM
ejpam-4922	119	3	-	-	PUNCT
ejpam-4922	119	4	d	d	NOUN
ejpam-4922	119	5	diffusivity	diffusivity	NOUN
ejpam-4922	119	6	equations	equation	NOUN
ejpam-4922	119	7	by	by	ADP
ejpam-4922	119	8	integration	integration	NOUN
ejpam-4922	119	9	we	we	PRON
ejpam-4922	119	10	use	use	VERB
ejpam-4922	119	11	the	the	DET
ejpam-4922	119	12	above	above	ADJ
ejpam-4922	119	13	assumptions	assumption	NOUN
ejpam-4922	119	14	to	to	PART
ejpam-4922	119	15	reduce	reduce	VERB
ejpam-4922	119	16	the	the	DET
ejpam-4922	119	17	equation	equation	NOUN
ejpam-4922	119	18	(	(	PUNCT
ejpam-4922	119	19	35	35	NUM
ejpam-4922	119	20	)	)	PUNCT
ejpam-4922	119	21	to	to	ADP
ejpam-4922	119	22	s0	s0	PROPN
ejpam-4922	119	23	∂h	∂h	PROPN
ejpam-4922	119	24	∂t	∂t	PROPN
ejpam-4922	119	25	=	=	SYM
ejpam-4922	119	26	∂	∂	NUM
ejpam-4922	119	27	∂x	∂x	PROPN
ejpam-4922	119	28	(	(	PUNCT
ejpam-4922	119	29	kxx	kxx	NOUN
ejpam-4922	119	30	∂h	∂h	PROPN
ejpam-4922	119	31	∂x	∂x	PROPN
ejpam-4922	119	32	)	)	PUNCT
ejpam-4922	120	1	+	+	NUM
ejpam-4922	120	2	∂	∂	NUM
ejpam-4922	120	3	∂y	∂y	NOUN
ejpam-4922	120	4	(	(	PUNCT
ejpam-4922	120	5	kyy	kyy	PROPN
ejpam-4922	120	6	∂h	∂h	PROPN
ejpam-4922	120	7	∂y	∂y	PROPN
ejpam-4922	120	8	)	)	PUNCT
ejpam-4922	121	1	+	+	ADP
ejpam-4922	121	2	g	g	PROPN
ejpam-4922	121	3	(	(	PUNCT
ejpam-4922	121	4	36	36	NUM
ejpam-4922	121	5	)	)	PUNCT
ejpam-4922	121	6	now	now	ADV
ejpam-4922	121	7	,	,	PUNCT
ejpam-4922	121	8	consider	consider	VERB
ejpam-4922	121	9	a	a	DET
ejpam-4922	121	10	confined	confine	VERB
ejpam-4922	121	11	aquifer	aquifer	NOUN
ejpam-4922	121	12	of	of	ADP
ejpam-4922	121	13	variable	variable	ADJ
ejpam-4922	121	14	variable	variable	ADJ
ejpam-4922	121	15	thickness	thickness	NOUN
ejpam-4922	121	16	,	,	PUNCT
ejpam-4922	121	17	b	b	PROPN
ejpam-4922	121	18	(	(	PUNCT
ejpam-4922	121	19	see	see	VERB
ejpam-4922	121	20	figure	figure	NOUN
ejpam-4922	121	21	3	3	NUM
ejpam-4922	121	22	)	)	PUNCT
ejpam-4922	121	23	,	,	PUNCT
ejpam-4922	121	24	such	such	ADJ
ejpam-4922	121	25	that	that	DET
ejpam-4922	121	26	b(x	b(x	NOUN
ejpam-4922	121	27	,	,	PUNCT
ejpam-4922	121	28	y	y	NOUN
ejpam-4922	121	29	)	)	PUNCT
ejpam-4922	121	30	=	=	SYM
ejpam-4922	121	31	b2(x	b2(x	PROPN
ejpam-4922	121	32	,	,	PUNCT
ejpam-4922	121	33	y)−b1(x	y)−b1(x	NUM
ejpam-4922	121	34	,	,	PUNCT
ejpam-4922	121	35	y	y	PROPN
ejpam-4922	121	36	)	)	PUNCT
ejpam-4922	121	37	(	(	PUNCT
ejpam-4922	121	38	37	37	NUM
ejpam-4922	121	39	)	)	PUNCT
ejpam-4922	121	40	where	where	SCONJ
ejpam-4922	121	41	b1(x	b1(x	NOUN
ejpam-4922	121	42	,	,	PUNCT
ejpam-4922	121	43	y	y	NOUN
ejpam-4922	121	44	)	)	PUNCT
ejpam-4922	121	45	and	and	CCONJ
ejpam-4922	121	46	b2(x	b2(x	PROPN
ejpam-4922	121	47	,	,	PUNCT
ejpam-4922	121	48	y	y	NOUN
ejpam-4922	121	49	)	)	PUNCT
ejpam-4922	121	50	are	be	AUX
ejpam-4922	121	51	the	the	DET
ejpam-4922	121	52	elevations	elevation	NOUN
ejpam-4922	121	53	of	of	ADP
ejpam-4922	121	54	its	its	PRON
ejpam-4922	121	55	fixed	fixed	ADJ
ejpam-4922	121	56	bottom	bottom	NOUN
ejpam-4922	121	57	and	and	CCONJ
ejpam-4922	121	58	ceiling	ceiling	NOUN
ejpam-4922	121	59	,	,	PUNCT
ejpam-4922	121	60	since	since	SCONJ
ejpam-4922	121	61	the	the	DET
ejpam-4922	121	62	aquifer	aquifer	NOUN
ejpam-4922	121	63	is	be	AUX
ejpam-4922	121	64	horizontal	horizontal	ADJ
ejpam-4922	121	65	and	and	CCONJ
ejpam-4922	121	66	compressible	compressible	ADJ
ejpam-4922	121	67	.	.	PUNCT
ejpam-4922	122	1	the	the	DET
ejpam-4922	122	2	figure	figure	NOUN
ejpam-4922	122	3	3	3	NUM
ejpam-4922	122	4	shows	show	VERB
ejpam-4922	122	5	this	this	DET
ejpam-4922	122	6	aquifer	aquifer	NOUN
ejpam-4922	122	7	.	.	PUNCT
ejpam-4922	123	1	c.	c.	PROPN
ejpam-4922	123	2	j.	j.	PROPN
ejpam-4922	123	3	itoua	itoua	PROPN
ejpam-4922	123	4	-	-	PUNCT
ejpam-4922	123	5	tsele	tsele	NOUN
ejpam-4922	123	6	,	,	PUNCT
ejpam-4922	123	7	a.	a.	PROPN
ejpam-4922	123	8	f.	f.	PROPN
ejpam-4922	123	9	ouassissou	ouassissou	PROPN
ejpam-4922	123	10	/	/	SYM
ejpam-4922	123	11	eur	eur	PROPN
ejpam-4922	123	12	.	.	PUNCT
ejpam-4922	124	1	j.	j.	PROPN
ejpam-4922	124	2	pure	pure	PROPN
ejpam-4922	124	3	appl	appl	PROPN
ejpam-4922	124	4	.	.	PROPN
ejpam-4922	124	5	math	math	PROPN
ejpam-4922	124	6	,	,	PUNCT
ejpam-4922	124	7	16	16	NUM
ejpam-4922	124	8	(	(	PUNCT
ejpam-4922	124	9	4	4	NUM
ejpam-4922	124	10	)	)	PUNCT
ejpam-4922	124	11	(	(	PUNCT
ejpam-4922	124	12	2023	2023	NUM
ejpam-4922	124	13	)	)	PUNCT
ejpam-4922	124	14	,	,	PUNCT
ejpam-4922	124	15	2169	2169	NUM
ejpam-4922	124	16	-	-	SYM
ejpam-4922	124	17	2186	2186	NUM
ejpam-4922	124	18	2179	2179	NUM
ejpam-4922	124	19	figure	figure	NOUN
ejpam-4922	124	20	3	3	NUM
ejpam-4922	124	21	:	:	PUNCT
ejpam-4922	124	22	flow	flow	VERB
ejpam-4922	124	23	through	through	ADP
ejpam-4922	124	24	a	a	DET
ejpam-4922	124	25	confined	confine	VERB
ejpam-4922	124	26	aquifer	aquifer	NOUN
ejpam-4922	124	27	the	the	DET
ejpam-4922	124	28	vertical	vertical	ADJ
ejpam-4922	124	29	integration	integration	NOUN
ejpam-4922	124	30	of	of	ADP
ejpam-4922	124	31	the	the	DET
ejpam-4922	124	32	equation	equation	NOUN
ejpam-4922	124	33	(	(	PUNCT
ejpam-4922	124	34	36	36	NUM
ejpam-4922	124	35	)	)	PUNCT
ejpam-4922	124	36	along	along	ADP
ejpam-4922	124	37	the	the	DET
ejpam-4922	124	38	vertical	vertical	NOUN
ejpam-4922	124	39	involving	involve	VERB
ejpam-4922	124	40	dupuit	dupuit	NOUN
ejpam-4922	124	41	’s	’s	PART
ejpam-4922	124	42	approximation	approximation	NOUN
ejpam-4922	124	43	in	in	ADP
ejpam-4922	124	44	(	(	PUNCT
ejpam-4922	124	45	x	x	X
ejpam-4922	124	46	,	,	PUNCT
ejpam-4922	124	47	y)−	y)−	PROPN
ejpam-4922	124	48	plane	plane	NOUN
ejpam-4922	124	49	gives∫	gives∫	NOUN
ejpam-4922	124	50	b2(x	b2(x	PROPN
ejpam-4922	124	51	,	,	PUNCT
ejpam-4922	124	52	y	y	NOUN
ejpam-4922	124	53	)	)	PUNCT
ejpam-4922	124	54	b1(x	b1(x	PROPN
ejpam-4922	124	55	,	,	PUNCT
ejpam-4922	124	56	y	y	NOUN
ejpam-4922	124	57	)	)	PUNCT
ejpam-4922	124	58	s0	s0	PROPN
ejpam-4922	124	59	∂h	∂h	PROPN
ejpam-4922	124	60	∂t	∂t	PROPN
ejpam-4922	124	61	dz	dz	PROPN
ejpam-4922	124	62	=	=	SYM
ejpam-4922	124	63	∫	∫	PROPN
ejpam-4922	124	64	b2(x	b2(x	PROPN
ejpam-4922	124	65	,	,	PUNCT
ejpam-4922	124	66	y	y	NOUN
ejpam-4922	124	67	)	)	PUNCT
ejpam-4922	124	68	b1(x	b1(x	PROPN
ejpam-4922	124	69	,	,	PUNCT
ejpam-4922	124	70	y	y	NOUN
ejpam-4922	124	71	)	)	PUNCT
ejpam-4922	124	72	∂	∂	NOUN
ejpam-4922	125	1	∂x	∂x	PROPN
ejpam-4922	126	1	(	(	PUNCT
ejpam-4922	126	2	kxx	kxx	NOUN
ejpam-4922	126	3	∂h	∂h	PROPN
ejpam-4922	126	4	∂x	∂x	PROPN
ejpam-4922	126	5	)	)	PUNCT
ejpam-4922	126	6	dz+	dz+	PROPN
ejpam-4922	126	7	∫	∫	PROPN
ejpam-4922	127	1	b2(x	b2(x	PROPN
ejpam-4922	127	2	,	,	PUNCT
ejpam-4922	127	3	y	y	PROPN
ejpam-4922	127	4	)	)	PUNCT
ejpam-4922	127	5	b1(x	b1(x	PROPN
ejpam-4922	127	6	,	,	PUNCT
ejpam-4922	127	7	y	y	NOUN
ejpam-4922	127	8	)	)	PUNCT
ejpam-4922	127	9	∂	∂	NOUN
ejpam-4922	127	10	∂y	∂y	NOUN
ejpam-4922	127	11	(	(	PUNCT
ejpam-4922	127	12	kyy	kyy	PROPN
ejpam-4922	127	13	∂h	∂h	PROPN
ejpam-4922	127	14	∂y	∂y	PROPN
ejpam-4922	127	15	)	)	PUNCT
ejpam-4922	127	16	dz+	dz+	PROPN
ejpam-4922	127	17	∫	∫	PROPN
ejpam-4922	128	1	b2(x	b2(x	PROPN
ejpam-4922	128	2	,	,	PUNCT
ejpam-4922	128	3	y	y	PROPN
ejpam-4922	128	4	)	)	PUNCT
ejpam-4922	128	5	b1(x	b1(x	PROPN
ejpam-4922	128	6	,	,	PUNCT
ejpam-4922	128	7	y	y	NOUN
ejpam-4922	128	8	)	)	PUNCT
ejpam-4922	128	9	gdz	gdz	NOUN
ejpam-4922	128	10	(	(	PUNCT
ejpam-4922	128	11	38	38	NUM
ejpam-4922	128	12	)	)	PUNCT
ejpam-4922	128	13	now	now	ADV
ejpam-4922	128	14	,	,	PUNCT
ejpam-4922	128	15	if	if	SCONJ
ejpam-4922	128	16	the	the	DET
ejpam-4922	128	17	integral	integral	ADJ
ejpam-4922	128	18	is	be	AUX
ejpam-4922	128	19	defined	define	VERB
ejpam-4922	128	20	as	as	ADP
ejpam-4922	128	21	follows∫	follows∫	NOUN
ejpam-4922	128	22	b(x	b(x	NOUN
ejpam-4922	128	23	)	)	PUNCT
ejpam-4922	128	24	a(x	a(x	PROPN
ejpam-4922	128	25	)	)	PUNCT
ejpam-4922	128	26	f(x	f(x	PROPN
ejpam-4922	128	27	,	,	PUNCT
ejpam-4922	128	28	t)dt,−∞	t)dt,−∞	PROPN
ejpam-4922	128	29	<	<	X
ejpam-4922	128	30	a(x	a(x	PROPN
ejpam-4922	128	31	)	)	PUNCT
ejpam-4922	128	32	,	,	PUNCT
ejpam-4922	128	33	b(x	b(x	NOUN
ejpam-4922	128	34	)	)	PUNCT
ejpam-4922	128	35	<	<	X
ejpam-4922	128	36	∞	∞	PROPN
ejpam-4922	128	37	(	(	PUNCT
ejpam-4922	128	38	39	39	NUM
ejpam-4922	128	39	)	)	PUNCT
ejpam-4922	128	40	the	the	DET
ejpam-4922	128	41	derivative	derivative	NOUN
ejpam-4922	128	42	of	of	ADP
ejpam-4922	128	43	this	this	DET
ejpam-4922	128	44	integral	integral	NOUN
ejpam-4922	128	45	is	be	AUX
ejpam-4922	128	46	derived	derive	VERB
ejpam-4922	128	47	using	use	VERB
ejpam-4922	128	48	leibniz	leibniz	PROPN
ejpam-4922	128	49	’s	’s	PART
ejpam-4922	128	50	integral	integral	ADJ
ejpam-4922	128	51	rule	rule	NOUN
ejpam-4922	128	52	as	as	SCONJ
ejpam-4922	128	53	follows	follow	VERB
ejpam-4922	128	54	:	:	PUNCT
ejpam-4922	128	55	∂	∂	NUM
ejpam-4922	128	56	∂x	∂x	PROPN
ejpam-4922	128	57	(	(	PUNCT
ejpam-4922	128	58	∫	∫	PROPN
ejpam-4922	128	59	b(x	b(x	NOUN
ejpam-4922	128	60	)	)	PUNCT
ejpam-4922	128	61	a(x	a(x	PROPN
ejpam-4922	128	62	)	)	PUNCT
ejpam-4922	128	63	f(x	f(x	PROPN
ejpam-4922	128	64	,	,	PUNCT
ejpam-4922	128	65	t	t	PROPN
ejpam-4922	128	66	)	)	PUNCT
ejpam-4922	128	67	dt	dt	PUNCT
ejpam-4922	128	68	)	)	PUNCT
ejpam-4922	129	1	=	=	SYM
ejpam-4922	129	2	∫	∫	PROPN
ejpam-4922	129	3	b(x	b(x	NOUN
ejpam-4922	129	4	)	)	PUNCT
ejpam-4922	129	5	a(x	a(x	PROPN
ejpam-4922	129	6	)	)	PUNCT
ejpam-4922	129	7	∂	∂	PUNCT
ejpam-4922	129	8	∂x	∂x	PROPN
ejpam-4922	129	9	f(x	f(x	PROPN
ejpam-4922	129	10	,	,	PUNCT
ejpam-4922	129	11	t	t	PROPN
ejpam-4922	129	12	)	)	PUNCT
ejpam-4922	129	13	dt+	dt+	NOUN
ejpam-4922	129	14	f(x	f(x	PROPN
ejpam-4922	129	15	,	,	PUNCT
ejpam-4922	129	16	b(x	b(x	NOUN
ejpam-4922	129	17	)	)	PUNCT
ejpam-4922	129	18	)	)	PUNCT
ejpam-4922	129	19	·	·	PUNCT
ejpam-4922	129	20	∂	∂	NUM
ejpam-4922	130	1	∂x	∂x	PROPN
ejpam-4922	130	2	b(x)−	b(x)−	PROPN
ejpam-4922	130	3	f(x	f(x	PROPN
ejpam-4922	130	4	,	,	PUNCT
ejpam-4922	130	5	a(x	a(x	PROPN
ejpam-4922	130	6	)	)	PUNCT
ejpam-4922	130	7	)	)	PUNCT
ejpam-4922	130	8	·	·	PUNCT
ejpam-4922	130	9	∂	∂	NUM
ejpam-4922	130	10	∂x	∂x	PROPN
ejpam-4922	130	11	a(x	a(x	NOUN
ejpam-4922	130	12	)	)	PUNCT
ejpam-4922	130	13	(	(	PUNCT
ejpam-4922	130	14	40	40	NUM
ejpam-4922	130	15	)	)	PUNCT
ejpam-4922	130	16	applying	apply	VERB
ejpam-4922	130	17	this	this	DET
ejpam-4922	130	18	rule	rule	NOUN
ejpam-4922	130	19	on	on	ADP
ejpam-4922	130	20	equations	equation	NOUN
ejpam-4922	130	21	(	(	PUNCT
ejpam-4922	130	22	38	38	NUM
ejpam-4922	130	23	)	)	PUNCT
ejpam-4922	130	24	,	,	PUNCT
ejpam-4922	130	25	we	we	PRON
ejpam-4922	130	26	get∫	get∫	VERB
ejpam-4922	130	27	b2(x	b2(x	PROPN
ejpam-4922	130	28	,	,	PUNCT
ejpam-4922	130	29	y	y	NOUN
ejpam-4922	130	30	)	)	PUNCT
ejpam-4922	130	31	b1(x	b1(x	PROPN
ejpam-4922	130	32	,	,	PUNCT
ejpam-4922	130	33	y	y	NOUN
ejpam-4922	130	34	)	)	PUNCT
ejpam-4922	130	35	s0	s0	PROPN
ejpam-4922	130	36	∂h	∂h	PROPN
ejpam-4922	130	37	∂t	∂t	PROPN
ejpam-4922	130	38	dz	dz	PROPN
ejpam-4922	130	39	=	=	SYM
ejpam-4922	130	40	∂	∂	PROPN
ejpam-4922	130	41	∂t	∂t	PROPN
ejpam-4922	130	42	s0bh̃	s0bh̃	PROPN
ejpam-4922	130	43	,	,	PUNCT
ejpam-4922	130	44	(	(	PUNCT
ejpam-4922	130	45	41	41	NUM
ejpam-4922	130	46	)	)	PUNCT
ejpam-4922	130	47	where	where	SCONJ
ejpam-4922	130	48	h̃(x	h̃(x	PROPN
ejpam-4922	130	49	,	,	PUNCT
ejpam-4922	130	50	y	y	NOUN
ejpam-4922	130	51	)	)	PUNCT
ejpam-4922	130	52	=	=	SYM
ejpam-4922	130	53	1	1	NUM
ejpam-4922	130	54	b	b	X
ejpam-4922	130	55	∫	∫	PROPN
ejpam-4922	130	56	b2(x	b2(x	PROPN
ejpam-4922	130	57	,	,	PUNCT
ejpam-4922	130	58	y	y	NOUN
ejpam-4922	130	59	)	)	PUNCT
ejpam-4922	130	60	b1(x	b1(x	PROPN
ejpam-4922	130	61	,	,	PUNCT
ejpam-4922	130	62	y	y	NOUN
ejpam-4922	130	63	)	)	PUNCT
ejpam-4922	130	64	h(x	h(x	PROPN
ejpam-4922	130	65	,	,	PUNCT
ejpam-4922	130	66	y	y	PROPN
ejpam-4922	130	67	,	,	PUNCT
ejpam-4922	130	68	z	z	NOUN
ejpam-4922	130	69	)	)	PUNCT
ejpam-4922	130	70	dz	dz	PROPN
ejpam-4922	130	71	(	(	PUNCT
ejpam-4922	130	72	42	42	NUM
ejpam-4922	130	73	)	)	PUNCT
ejpam-4922	130	74	is	be	AUX
ejpam-4922	130	75	the	the	DET
ejpam-4922	130	76	average	average	ADJ
ejpam-4922	130	77	piezometric	piezometric	ADJ
ejpam-4922	130	78	head	head	NOUN
ejpam-4922	130	79	along	along	ADP
ejpam-4922	130	80	a	a	DET
ejpam-4922	130	81	vertical	vertical	ADJ
ejpam-4922	130	82	line	line	NOUN
ejpam-4922	130	83	at	at	ADP
ejpam-4922	130	84	point	point	NOUN
ejpam-4922	130	85	(	(	PUNCT
ejpam-4922	130	86	x	x	X
ejpam-4922	130	87	,	,	PUNCT
ejpam-4922	130	88	y).∫	y).∫	ADJ
ejpam-4922	130	89	b2(x	b2(x	PROPN
ejpam-4922	130	90	,	,	PUNCT
ejpam-4922	130	91	y	y	PROPN
ejpam-4922	130	92	)	)	PUNCT
ejpam-4922	130	93	b1(x	b1(x	PROPN
ejpam-4922	130	94	,	,	PUNCT
ejpam-4922	130	95	y	y	NOUN
ejpam-4922	130	96	)	)	PUNCT
ejpam-4922	130	97	∂	∂	NOUN
ejpam-4922	131	1	∂x	∂x	PROPN
ejpam-4922	131	2	(	(	PUNCT
ejpam-4922	131	3	kxx	kxx	NOUN
ejpam-4922	131	4	∂h	∂h	PROPN
ejpam-4922	131	5	∂x	∂x	PROPN
ejpam-4922	131	6	)	)	PUNCT
ejpam-4922	131	7	dz	dz	PROPN
ejpam-4922	131	8	=	=	SYM
ejpam-4922	131	9	∂	∂	NUM
ejpam-4922	131	10	∂x	∂x	PROPN
ejpam-4922	131	11	(	(	PUNCT
ejpam-4922	131	12	b	b	NUM
ejpam-4922	131	13	˜	˜	PROPN
ejpam-4922	131	14	kxx	kxx	VERB
ejpam-4922	131	15	∂h	∂h	PROPN
ejpam-4922	131	16	∂x	∂x	PROPN
ejpam-4922	131	17	)	)	PUNCT
ejpam-4922	131	18	−kxx	−kxx	NOUN
ejpam-4922	131	19	∂h	∂h	VERB
ejpam-4922	131	20	∂x	∂x	PROPN
ejpam-4922	131	21	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4922	131	22	b2	b2	NOUN
ejpam-4922	131	23	·	·	PUNCT
ejpam-4922	131	24	∂b2	∂b2	ADP
ejpam-4922	131	25	∂x	∂x	VERB
ejpam-4922	131	26	+	+	NUM
ejpam-4922	131	27	kxx	kxx	NOUN
ejpam-4922	131	28	∂h	∂h	PROPN
ejpam-4922	131	29	∂x	∂x	PROPN
ejpam-4922	131	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4922	131	31	b1	b1	PROPN
ejpam-4922	131	32	·	·	PUNCT
ejpam-4922	132	1	∂b1	∂b1	PROPN
ejpam-4922	132	2	∂x	∂x	PROPN
ejpam-4922	132	3	,	,	PUNCT
ejpam-4922	132	4	(	(	PUNCT
ejpam-4922	132	5	43	43	NUM
ejpam-4922	132	6	)	)	PUNCT
ejpam-4922	132	7	c.	c.	PROPN
ejpam-4922	132	8	j.	j.	PROPN
ejpam-4922	132	9	itoua	itoua	PROPN
ejpam-4922	132	10	-	-	PUNCT
ejpam-4922	132	11	tsele	tsele	NOUN
ejpam-4922	132	12	,	,	PUNCT
ejpam-4922	132	13	a.	a.	PROPN
ejpam-4922	132	14	f.	f.	PROPN
ejpam-4922	132	15	ouassissou	ouassissou	PROPN
ejpam-4922	132	16	/	/	SYM
ejpam-4922	132	17	eur	eur	PROPN
ejpam-4922	132	18	.	.	PUNCT
ejpam-4922	133	1	j.	j.	PROPN
ejpam-4922	133	2	pure	pure	PROPN
ejpam-4922	133	3	appl	appl	PROPN
ejpam-4922	133	4	.	.	PROPN
ejpam-4922	133	5	math	math	PROPN
ejpam-4922	133	6	,	,	PUNCT
ejpam-4922	133	7	16	16	NUM
ejpam-4922	133	8	(	(	PUNCT
ejpam-4922	133	9	4	4	NUM
ejpam-4922	133	10	)	)	PUNCT
ejpam-4922	133	11	(	(	PUNCT
ejpam-4922	133	12	2023	2023	NUM
ejpam-4922	133	13	)	)	PUNCT
ejpam-4922	133	14	,	,	PUNCT
ejpam-4922	133	15	2169	2169	NUM
ejpam-4922	133	16	-	-	SYM
ejpam-4922	133	17	2186	2186	NUM
ejpam-4922	133	18	2180	2180	NUM
ejpam-4922	133	19	and∫	and∫	NOUN
ejpam-4922	133	20	b2(x	b2(x	NOUN
ejpam-4922	133	21	,	,	PUNCT
ejpam-4922	133	22	y	y	NOUN
ejpam-4922	133	23	)	)	PUNCT
ejpam-4922	133	24	b1(x	b1(x	PROPN
ejpam-4922	133	25	,	,	PUNCT
ejpam-4922	133	26	y	y	NOUN
ejpam-4922	133	27	)	)	PUNCT
ejpam-4922	133	28	∂	∂	NOUN
ejpam-4922	133	29	∂y	∂y	NOUN
ejpam-4922	133	30	(	(	PUNCT
ejpam-4922	133	31	kxx	kxx	NOUN
ejpam-4922	133	32	∂h	∂h	PROPN
ejpam-4922	133	33	∂y	∂y	PROPN
ejpam-4922	133	34	)	)	PUNCT
ejpam-4922	133	35	dz	dz	PROPN
ejpam-4922	133	36	=	=	SYM
ejpam-4922	133	37	∂	∂	NUM
ejpam-4922	134	1	∂y	∂y	NOUN
ejpam-4922	135	1	(	(	PUNCT
ejpam-4922	135	2	b	b	NUM
ejpam-4922	135	3	˜	˜	PROPN
ejpam-4922	135	4	kyy	kyy	PROPN
ejpam-4922	136	1	∂h	∂h	PROPN
ejpam-4922	136	2	∂y	∂y	PROPN
ejpam-4922	136	3	)	)	PUNCT
ejpam-4922	136	4	−	−	PROPN
ejpam-4922	137	1	kyy	kyy	PROPN
ejpam-4922	137	2	∂h	∂h	PROPN
ejpam-4922	137	3	∂y	∂y	PROPN
ejpam-4922	137	4	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4922	137	5	b2	b2	NOUN
ejpam-4922	137	6	·	·	PUNCT
ejpam-4922	137	7	∂b2	∂b2	PROPN
ejpam-4922	137	8	∂y	∂y	NOUN
ejpam-4922	138	1	+	+	NUM
ejpam-4922	138	2	kyy	kyy	PROPN
ejpam-4922	138	3	∂h	∂h	PROPN
ejpam-4922	138	4	∂y	∂y	PROPN
ejpam-4922	138	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4922	138	6	b1	b1	PROPN
ejpam-4922	138	7	·	·	PUNCT
ejpam-4922	139	1	∂b1	∂b1	PROPN
ejpam-4922	139	2	∂y	∂y	SYM
ejpam-4922	139	3	(	(	PUNCT
ejpam-4922	139	4	44	44	NUM
ejpam-4922	139	5	)	)	PUNCT
ejpam-4922	139	6	where	where	SCONJ
ejpam-4922	139	7	˜	˜	PROPN
ejpam-4922	139	8	kxx	kxx	VERB
ejpam-4922	139	9	∂h	∂h	PROPN
ejpam-4922	139	10	∂x	∂x	PROPN
ejpam-4922	139	11	(	(	PUNCT
ejpam-4922	139	12	x	x	NOUN
ejpam-4922	139	13	,	,	PUNCT
ejpam-4922	139	14	y	y	NOUN
ejpam-4922	139	15	)	)	PUNCT
ejpam-4922	139	16	=	=	SYM
ejpam-4922	139	17	1	1	NUM
ejpam-4922	139	18	b	b	X
ejpam-4922	139	19	∫	∫	PROPN
ejpam-4922	139	20	b2(x	b2(x	PROPN
ejpam-4922	139	21	,	,	PUNCT
ejpam-4922	139	22	y	y	NOUN
ejpam-4922	139	23	)	)	PUNCT
ejpam-4922	139	24	b1(x	b1(x	PROPN
ejpam-4922	139	25	,	,	PUNCT
ejpam-4922	139	26	y	y	NOUN
ejpam-4922	139	27	)	)	PUNCT
ejpam-4922	139	28	kxx	kxx	NOUN
ejpam-4922	139	29	∂h	∂h	PROPN
ejpam-4922	139	30	∂x	∂x	PROPN
ejpam-4922	139	31	dz	dz	X
ejpam-4922	139	32	(	(	PUNCT
ejpam-4922	139	33	45	45	NUM
ejpam-4922	139	34	)	)	PUNCT
ejpam-4922	139	35	and	and	CCONJ
ejpam-4922	139	36	˜	˜	PROPN
ejpam-4922	139	37	kyy	kyy	PROPN
ejpam-4922	140	1	∂h	∂h	PROPN
ejpam-4922	140	2	∂y	∂y	SYM
ejpam-4922	140	3	(	(	PUNCT
ejpam-4922	140	4	x	x	PROPN
ejpam-4922	140	5	,	,	PUNCT
ejpam-4922	140	6	y	y	NOUN
ejpam-4922	140	7	)	)	PUNCT
ejpam-4922	140	8	=	=	SYM
ejpam-4922	140	9	1	1	NUM
ejpam-4922	140	10	b	b	X
ejpam-4922	140	11	∫	∫	PROPN
ejpam-4922	140	12	b2(x	b2(x	PROPN
ejpam-4922	140	13	,	,	PUNCT
ejpam-4922	140	14	y	y	NOUN
ejpam-4922	140	15	)	)	PUNCT
ejpam-4922	140	16	b1(x	b1(x	PROPN
ejpam-4922	140	17	,	,	PUNCT
ejpam-4922	140	18	y	y	PROPN
ejpam-4922	140	19	)	)	PUNCT
ejpam-4922	140	20	kyy	kyy	PROPN
ejpam-4922	141	1	∂h	∂h	PROPN
ejpam-4922	141	2	∂x	∂x	PROPN
ejpam-4922	141	3	dz	dz	X
ejpam-4922	141	4	(	(	PUNCT
ejpam-4922	141	5	46	46	NUM
ejpam-4922	141	6	)	)	PUNCT
ejpam-4922	141	7	thus	thus	ADV
ejpam-4922	141	8	,	,	PUNCT
ejpam-4922	141	9	the	the	DET
ejpam-4922	141	10	equation	equation	NOUN
ejpam-4922	141	11	(	(	PUNCT
ejpam-4922	141	12	38	38	NUM
ejpam-4922	141	13	)	)	PUNCT
ejpam-4922	141	14	gives	give	VERB
ejpam-4922	141	15	s0b	s0b	PROPN
ejpam-4922	141	16	∂	∂	NOUN
ejpam-4922	141	17	∂t	∂t	PROPN
ejpam-4922	141	18	h̃	h̃	PROPN
ejpam-4922	141	19	=	=	SYM
ejpam-4922	141	20	∂	∂	NUM
ejpam-4922	141	21	∂x	∂x	PROPN
ejpam-4922	141	22	(	(	PUNCT
ejpam-4922	141	23	b	b	NUM
ejpam-4922	141	24	˜	˜	PROPN
ejpam-4922	141	25	kxx	kxx	VERB
ejpam-4922	141	26	∂h	∂h	PROPN
ejpam-4922	141	27	∂x	∂x	PROPN
ejpam-4922	141	28	)	)	PUNCT
ejpam-4922	142	1	−	−	PROPN
ejpam-4922	142	2	kxx	kxx	NOUN
ejpam-4922	142	3	∂h	∂h	PROPN
ejpam-4922	142	4	∂x	∂x	PROPN
ejpam-4922	142	5	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4922	142	6	b2	b2	NOUN
ejpam-4922	142	7	·	·	PUNCT
ejpam-4922	142	8	∂b2	∂b2	ADP
ejpam-4922	142	9	∂x	∂x	VERB
ejpam-4922	142	10	+	+	CCONJ
ejpam-4922	142	11	kxx	kxx	NOUN
ejpam-4922	142	12	∂h	∂h	PROPN
ejpam-4922	142	13	∂x	∂x	PROPN
ejpam-4922	142	14	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4922	142	15	b1	b1	PROPN
ejpam-4922	142	16	·	·	PUNCT
ejpam-4922	143	1	∂b1	∂b1	PROPN
ejpam-4922	143	2	∂x	∂x	PROPN
ejpam-4922	143	3	+	+	CCONJ
ejpam-4922	143	4	∂	∂	NUM
ejpam-4922	143	5	∂y	∂y	NOUN
ejpam-4922	143	6	(	(	PUNCT
ejpam-4922	143	7	b	b	NUM
ejpam-4922	143	8	˜	˜	PROPN
ejpam-4922	143	9	kyy	kyy	PROPN
ejpam-4922	144	1	∂h	∂h	PROPN
ejpam-4922	144	2	∂y	∂y	PROPN
ejpam-4922	144	3	)	)	PUNCT
ejpam-4922	144	4	−	−	PROPN
ejpam-4922	145	1	kyy	kyy	PROPN
ejpam-4922	145	2	∂h	∂h	PROPN
ejpam-4922	145	3	∂y	∂y	PROPN
ejpam-4922	145	4	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4922	145	5	b2	b2	NOUN
ejpam-4922	145	6	·	·	PUNCT
ejpam-4922	145	7	∂b2	∂b2	PROPN
ejpam-4922	145	8	∂y	∂y	NOUN
ejpam-4922	146	1	+	+	NUM
ejpam-4922	146	2	kyy	kyy	PROPN
ejpam-4922	146	3	∂h	∂h	PROPN
ejpam-4922	146	4	∂y	∂y	PROPN
ejpam-4922	146	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4922	146	6	b1	b1	PROPN
ejpam-4922	146	7	·	·	PUNCT
ejpam-4922	147	1	∂b1	∂b1	PROPN
ejpam-4922	147	2	∂y	∂y	PUNCT
ejpam-4922	148	1	+	+	PROPN
ejpam-4922	148	2	bg̃	bg̃	PROPN
ejpam-4922	148	3	(	(	PUNCT
ejpam-4922	148	4	47	47	NUM
ejpam-4922	148	5	)	)	PUNCT
ejpam-4922	148	6	according	accord	VERB
ejpam-4922	148	7	to	to	ADP
ejpam-4922	148	8	dupuit	dupuit	NOUN
ejpam-4922	148	9	assumption	assumption	NOUN
ejpam-4922	148	10	,	,	PUNCT
ejpam-4922	148	11	the	the	DET
ejpam-4922	148	12	hydraulic	hydraulic	ADJ
ejpam-4922	148	13	head	head	NOUN
ejpam-4922	148	14	is	be	AUX
ejpam-4922	148	15	constant	constant	ADJ
ejpam-4922	148	16	along	along	ADP
ejpam-4922	148	17	the	the	DET
ejpam-4922	148	18	vertical	vertical	NOUN
ejpam-4922	148	19	,	,	PUNCT
ejpam-4922	148	20	then	then	ADV
ejpam-4922	148	21	the	the	DET
ejpam-4922	148	22	flow	flow	NOUN
ejpam-4922	148	23	is	be	AUX
ejpam-4922	148	24	essentially	essentially	ADV
ejpam-4922	148	25	horizontal	horizontal	ADJ
ejpam-4922	148	26	,	,	PUNCT
ejpam-4922	148	27	that	that	ADV
ejpam-4922	148	28	is	is	ADV
ejpam-4922	148	29	,	,	PUNCT
ejpam-4922	148	30	h	h	NOUN
ejpam-4922	148	31	=	=	SYM
ejpam-4922	148	32	h(x	h(x	PROPN
ejpam-4922	148	33	,	,	PUNCT
ejpam-4922	148	34	y	y	PROPN
ejpam-4922	148	35	)	)	PUNCT
ejpam-4922	148	36	and	and	CCONJ
ejpam-4922	148	37	,	,	PUNCT
ejpam-4922	148	38	h	h	NOUN
ejpam-4922	148	39	(	(	PUNCT
ejpam-4922	148	40	x	x	PROPN
ejpam-4922	148	41	,	,	PUNCT
ejpam-4922	148	42	y	y	PROPN
ejpam-4922	148	43	,	,	PUNCT
ejpam-4922	148	44	b1	b1	NOUN
ejpam-4922	148	45	)	)	PUNCT
ejpam-4922	148	46	≃	≃	PROPN
ejpam-4922	148	47	h	h	NOUN
ejpam-4922	148	48	(	(	PUNCT
ejpam-4922	148	49	x	x	NOUN
ejpam-4922	148	50	,	,	PUNCT
ejpam-4922	148	51	y	y	PROPN
ejpam-4922	148	52	,	,	PUNCT
ejpam-4922	148	53	b2	b2	NOUN
ejpam-4922	148	54	)	)	PUNCT
ejpam-4922	148	55	≃	≃	NOUN
ejpam-4922	148	56	h̃(x	h̃(x	PROPN
ejpam-4922	148	57	,	,	PUNCT
ejpam-4922	148	58	y	y	NOUN
ejpam-4922	148	59	)	)	PUNCT
ejpam-4922	148	60	leads	lead	VERB
ejpam-4922	148	61	to	to	ADP
ejpam-4922	148	62	∇h̃	∇h̃	NOUN
ejpam-4922	148	63	=	=	SYM
ejpam-4922	148	64	∇h	∇h	PROPN
ejpam-4922	148	65	,	,	PUNCT
ejpam-4922	148	66	in	in	ADP
ejpam-4922	148	67	other	other	ADJ
ejpam-4922	148	68	word	word	NOUN
ejpam-4922	148	69	,	,	PUNCT
ejpam-4922	148	70	the	the	DET
ejpam-4922	148	71	gradient	gradient	NOUN
ejpam-4922	148	72	of	of	ADP
ejpam-4922	148	73	the	the	DET
ejpam-4922	148	74	average	average	ADJ
ejpam-4922	148	75	head	head	NOUN
ejpam-4922	148	76	is	be	AUX
ejpam-4922	148	77	equal	equal	ADJ
ejpam-4922	148	78	to	to	ADP
ejpam-4922	148	79	the	the	DET
ejpam-4922	148	80	average	average	NOUN
ejpam-4922	148	81	of	of	ADP
ejpam-4922	148	82	the	the	DET
ejpam-4922	148	83	head	head	NOUN
ejpam-4922	148	84	gradient	gradient	NOUN
ejpam-4922	148	85	.	.	PUNCT
ejpam-4922	149	1	therefore	therefore	ADV
ejpam-4922	149	2	,	,	PUNCT
ejpam-4922	149	3	the	the	DET
ejpam-4922	149	4	equation	equation	NOUN
ejpam-4922	149	5	(	(	PUNCT
ejpam-4922	149	6	47	47	NUM
ejpam-4922	149	7	)	)	PUNCT
ejpam-4922	149	8	becomes	become	VERB
ejpam-4922	149	9	s0b	s0b	PROPN
ejpam-4922	149	10	∂h	∂h	PROPN
ejpam-4922	149	11	∂t	∂t	PROPN
ejpam-4922	149	12	=	=	SYM
ejpam-4922	149	13	∂	∂	NUM
ejpam-4922	149	14	∂x	∂x	PROPN
ejpam-4922	149	15	[	[	PUNCT
ejpam-4922	149	16	txx	txx	X
ejpam-4922	149	17	∂h	∂h	VERB
ejpam-4922	149	18	∂x	∂x	PROPN
ejpam-4922	149	19	]	]	PUNCT
ejpam-4922	150	1	+	+	NUM
ejpam-4922	150	2	∂	∂	X
ejpam-4922	150	3	∂y	∂y	NOUN
ejpam-4922	150	4	[	[	PUNCT
ejpam-4922	150	5	tyy	tyy	PROPN
ejpam-4922	150	6	∂h	∂h	PROPN
ejpam-4922	150	7	∂y	∂y	X
ejpam-4922	150	8	]	]	PUNCT
ejpam-4922	151	1	+	+	PROPN
ejpam-4922	151	2	bg̃	bg̃	PROPN
ejpam-4922	151	3	(	(	PUNCT
ejpam-4922	151	4	48	48	NUM
ejpam-4922	151	5	)	)	PUNCT
ejpam-4922	151	6	where	where	SCONJ
ejpam-4922	151	7	txx	txx	VERB
ejpam-4922	151	8	=	=	SYM
ejpam-4922	151	9	k̃xxb	k̃xxb	X
ejpam-4922	151	10	and	and	CCONJ
ejpam-4922	151	11	tyy	tyy	PROPN
ejpam-4922	151	12	=	=	SYM
ejpam-4922	151	13	k̃yyb	k̃yyb	PROPN
ejpam-4922	151	14	(	(	PUNCT
ejpam-4922	151	15	49	49	NUM
ejpam-4922	151	16	)	)	PUNCT
ejpam-4922	151	17	are	be	AUX
ejpam-4922	151	18	transmissivity	transmissivity	NOUN
ejpam-4922	151	19	components	component	NOUN
ejpam-4922	151	20	along	along	ADP
ejpam-4922	151	21	the	the	DET
ejpam-4922	151	22	x	x	NOUN
ejpam-4922	151	23	and	and	CCONJ
ejpam-4922	151	24	y	y	PROPN
ejpam-4922	151	25	directions	direction	NOUN
ejpam-4922	151	26	.	.	PUNCT
ejpam-4922	152	1	hence	hence	ADV
ejpam-4922	152	2	,	,	PUNCT
ejpam-4922	152	3	the	the	DET
ejpam-4922	152	4	storage	storage	NOUN
ejpam-4922	152	5	coefficient	coefficient	NOUN
ejpam-4922	152	6	is	be	AUX
ejpam-4922	152	7	s	s	NOUN
ejpam-4922	152	8	=	=	SYM
ejpam-4922	152	9	s0b	s0b	PROPN
ejpam-4922	152	10	,	,	PUNCT
ejpam-4922	152	11	the	the	DET
ejpam-4922	152	12	sink	sink	NOUN
ejpam-4922	152	13	/	/	SYM
ejpam-4922	152	14	source	source	NOUN
ejpam-4922	152	15	terme	terme	NOUN
ejpam-4922	152	16	is	be	AUX
ejpam-4922	152	17	n	n	NOUN
ejpam-4922	152	18	=	=	SYM
ejpam-4922	152	19	g̃b	g̃b	PROPN
ejpam-4922	153	1	and	and	CCONJ
ejpam-4922	153	2	we	we	PRON
ejpam-4922	153	3	obtain	obtain	VERB
ejpam-4922	153	4	the	the	DET
ejpam-4922	153	5	diffusivity	diffusivity	NOUN
ejpam-4922	153	6	equation	equation	NOUN
ejpam-4922	153	7	in	in	ADP
ejpam-4922	153	8	two	two	NUM
ejpam-4922	153	9	-	-	PUNCT
ejpam-4922	153	10	dimension	dimension	NOUN
ejpam-4922	153	11	for	for	ADP
ejpam-4922	153	12	an	an	DET
ejpam-4922	153	13	inhomogeneous	inhomogeneous	ADJ
ejpam-4922	153	14	isotropic	isotropic	NOUN
ejpam-4922	153	15	confined	confine	VERB
ejpam-4922	153	16	aquifer	aquifer	NOUN
ejpam-4922	153	17	:	:	PUNCT
ejpam-4922	153	18	s	s	VERB
ejpam-4922	153	19	∂h(x	∂h(x	PROPN
ejpam-4922	153	20	,	,	PUNCT
ejpam-4922	153	21	y	y	PROPN
ejpam-4922	153	22	,	,	PUNCT
ejpam-4922	153	23	t	t	PROPN
ejpam-4922	153	24	)	)	PUNCT
ejpam-4922	153	25	∂t	∂t	PROPN
ejpam-4922	153	26	=	=	SYM
ejpam-4922	153	27	∇	∇	X
ejpam-4922	153	28	·	·	PUNCT
ejpam-4922	154	1	[	[	X
ejpam-4922	154	2	t	t	X
ejpam-4922	154	3	(	(	PUNCT
ejpam-4922	154	4	x	x	PROPN
ejpam-4922	154	5	,	,	PUNCT
ejpam-4922	154	6	y)∇h(x	y)∇h(x	PROPN
ejpam-4922	154	7	,	,	PUNCT
ejpam-4922	154	8	y	y	PROPN
ejpam-4922	154	9	,	,	PUNCT
ejpam-4922	154	10	t	t	PROPN
ejpam-4922	154	11	)	)	PUNCT
ejpam-4922	154	12	]	]	PUNCT
ejpam-4922	155	1	+	+	PUNCT
ejpam-4922	155	2	n(x	n(x	PROPN
ejpam-4922	155	3	,	,	PUNCT
ejpam-4922	155	4	y	y	PROPN
ejpam-4922	155	5	,	,	PUNCT
ejpam-4922	155	6	t	t	PROPN
ejpam-4922	155	7	)	)	PUNCT
ejpam-4922	155	8	,	,	PUNCT
ejpam-4922	155	9	(	(	PUNCT
ejpam-4922	155	10	x	x	X
ejpam-4922	155	11	,	,	PUNCT
ejpam-4922	155	12	y	y	NOUN
ejpam-4922	155	13	)	)	PUNCT
ejpam-4922	155	14	∈	∈	PROPN
ejpam-4922	155	15	ω	ω	NUM
ejpam-4922	155	16	⊂	⊂	PROPN
ejpam-4922	155	17	r2	r2	PROPN
ejpam-4922	155	18	,	,	PUNCT
ejpam-4922	155	19	t	t	X
ejpam-4922	155	20	>	>	X
ejpam-4922	155	21	0	0	PROPN
ejpam-4922	155	22	.	.	PUNCT
ejpam-4922	156	1	(	(	PUNCT
ejpam-4922	156	2	50	50	NUM
ejpam-4922	156	3	)	)	PUNCT
ejpam-4922	156	4	where	where	SCONJ
ejpam-4922	156	5	t	t	PROPN
ejpam-4922	156	6	(	(	PUNCT
ejpam-4922	156	7	x	x	PROPN
ejpam-4922	156	8	,	,	PUNCT
ejpam-4922	156	9	y	y	PROPN
ejpam-4922	156	10	)	)	PUNCT
ejpam-4922	156	11	=	=	PUNCT
ejpam-4922	157	1	(	(	PUNCT
ejpam-4922	157	2	txx	txx	VERB
ejpam-4922	157	3	0	0	NUM
ejpam-4922	157	4	0	0	NUM
ejpam-4922	157	5	tyy	tyy	PROPN
ejpam-4922	157	6	)	)	PUNCT
ejpam-4922	157	7	is	be	AUX
ejpam-4922	157	8	the	the	DET
ejpam-4922	157	9	aquifer	aquifer	NOUN
ejpam-4922	157	10	transmissivity	transmissivity	NOUN
ejpam-4922	157	11	(	(	PUNCT
ejpam-4922	157	12	m2	m2	PROPN
ejpam-4922	157	13	/	/	SYM
ejpam-4922	157	14	s	s	PROPN
ejpam-4922	157	15	)	)	PUNCT
ejpam-4922	157	16	;	;	PUNCT
ejpam-4922	157	17	h(x	h(x	PROPN
ejpam-4922	157	18	,	,	PUNCT
ejpam-4922	157	19	y	y	PROPN
ejpam-4922	157	20	,	,	PUNCT
ejpam-4922	157	21	t	t	PROPN
ejpam-4922	157	22	)	)	PUNCT
ejpam-4922	157	23	is	be	AUX
ejpam-4922	157	24	the	the	DET
ejpam-4922	157	25	hydraulic	hydraulic	ADJ
ejpam-4922	157	26	head	head	NOUN
ejpam-4922	157	27	(	(	PUNCT
ejpam-4922	157	28	m	m	NOUN
ejpam-4922	157	29	)	)	PUNCT
ejpam-4922	157	30	,	,	PUNCT
ejpam-4922	157	31	of	of	ADP
ejpam-4922	157	32	confined	confine	VERB
ejpam-4922	157	33	aquifer	aquifer	NOUN
ejpam-4922	157	34	;	;	PUNCT
ejpam-4922	157	35	s	s	NOUN
ejpam-4922	157	36	=	=	SYM
ejpam-4922	157	37	s(x	s(x	PROPN
ejpam-4922	157	38	,	,	PUNCT
ejpam-4922	157	39	y	y	PROPN
ejpam-4922	157	40	)	)	PUNCT
ejpam-4922	157	41	is	be	AUX
ejpam-4922	157	42	the	the	DET
ejpam-4922	157	43	storage	storage	NOUN
ejpam-4922	157	44	coefficient	coefficient	NOUN
ejpam-4922	157	45	of	of	ADP
ejpam-4922	157	46	the	the	DET
ejpam-4922	157	47	c.	c.	PROPN
ejpam-4922	157	48	j.	j.	PROPN
ejpam-4922	157	49	itoua	itoua	PROPN
ejpam-4922	157	50	-	-	PUNCT
ejpam-4922	157	51	tsele	tsele	NOUN
ejpam-4922	157	52	,	,	PUNCT
ejpam-4922	157	53	a.	a.	PROPN
ejpam-4922	157	54	f.	f.	PROPN
ejpam-4922	157	55	ouassissou	ouassissou	PROPN
ejpam-4922	157	56	/	/	SYM
ejpam-4922	157	57	eur	eur	PROPN
ejpam-4922	157	58	.	.	PUNCT
ejpam-4922	158	1	j.	j.	PROPN
ejpam-4922	158	2	pure	pure	PROPN
ejpam-4922	158	3	appl	appl	PROPN
ejpam-4922	158	4	.	.	PROPN
ejpam-4922	158	5	math	math	PROPN
ejpam-4922	158	6	,	,	PUNCT
ejpam-4922	158	7	16	16	NUM
ejpam-4922	158	8	(	(	PUNCT
ejpam-4922	158	9	4	4	NUM
ejpam-4922	158	10	)	)	PUNCT
ejpam-4922	158	11	(	(	PUNCT
ejpam-4922	158	12	2023	2023	NUM
ejpam-4922	158	13	)	)	PUNCT
ejpam-4922	158	14	,	,	PUNCT
ejpam-4922	158	15	2169	2169	NUM
ejpam-4922	158	16	-	-	SYM
ejpam-4922	158	17	2186	2186	NUM
ejpam-4922	158	18	2181	2181	NUM
ejpam-4922	158	19	confined	confine	VERB
ejpam-4922	158	20	aquifer	aquifer	NOUN
ejpam-4922	158	21	(	(	PUNCT
ejpam-4922	158	22	m−1	m−1	PROPN
ejpam-4922	158	23	)	)	PUNCT
ejpam-4922	158	24	and	and	CCONJ
ejpam-4922	158	25	n	n	NOUN
ejpam-4922	158	26	=	=	PUNCT
ejpam-4922	158	27	n(x	n(x	PROPN
ejpam-4922	158	28	,	,	PUNCT
ejpam-4922	158	29	y	y	PROPN
ejpam-4922	158	30	,	,	PUNCT
ejpam-4922	158	31	t	t	PROPN
ejpam-4922	158	32	)	)	PUNCT
ejpam-4922	158	33	is	be	AUX
ejpam-4922	158	34	the	the	DET
ejpam-4922	158	35	vertical	vertical	ADJ
ejpam-4922	158	36	integration	integration	NOUN
ejpam-4922	158	37	of	of	ADP
ejpam-4922	158	38	sink	sink	NOUN
ejpam-4922	158	39	/	/	SYM
ejpam-4922	158	40	source	source	NOUN
ejpam-4922	158	41	term	term	NOUN
ejpam-4922	158	42	,	,	PUNCT
ejpam-4922	158	43	(	(	PUNCT
ejpam-4922	158	44	m	m	NOUN
ejpam-4922	158	45	/	/	SYM
ejpam-4922	158	46	s	s	PART
ejpam-4922	158	47	)	)	PUNCT
ejpam-4922	158	48	.	.	PUNCT
ejpam-4922	159	1	the	the	DET
ejpam-4922	159	2	boundary	boundary	ADJ
ejpam-4922	159	3	and	and	CCONJ
ejpam-4922	159	4	initial	initial	ADJ
ejpam-4922	159	5	conditions	condition	NOUN
ejpam-4922	159	6	are	be	AUX
ejpam-4922	159	7	:	:	PUNCT
ejpam-4922	159	8	boundary	boundary	ADJ
ejpam-4922	159	9	of	of	ADP
ejpam-4922	159	10	prescribed	prescribed	ADJ
ejpam-4922	159	11	head	head	NOUN
ejpam-4922	159	12	:	:	PUNCT
ejpam-4922	159	13	h(x	h(x	PROPN
ejpam-4922	159	14	,	,	PUNCT
ejpam-4922	159	15	y	y	PROPN
ejpam-4922	159	16	,	,	PUNCT
ejpam-4922	159	17	t	t	PROPN
ejpam-4922	159	18	)	)	PUNCT
ejpam-4922	159	19	=	=	SYM
ejpam-4922	160	1	f1(x	f1(x	PROPN
ejpam-4922	160	2	,	,	PUNCT
ejpam-4922	160	3	y	y	PROPN
ejpam-4922	160	4	,	,	PUNCT
ejpam-4922	160	5	t	t	PROPN
ejpam-4922	160	6	)	)	PUNCT
ejpam-4922	160	7	on	on	ADP
ejpam-4922	160	8	ω	ω	PROPN
ejpam-4922	160	9	(	(	PUNCT
ejpam-4922	160	10	51	51	NUM
ejpam-4922	160	11	)	)	PUNCT
ejpam-4922	160	12	boundary	boundary	NOUN
ejpam-4922	160	13	of	of	ADP
ejpam-4922	160	14	prescribed	prescribed	ADJ
ejpam-4922	160	15	flux	flux	NOUN
ejpam-4922	160	16	along	along	ADP
ejpam-4922	160	17	such	such	ADJ
ejpam-4922	160	18	boundary	boundary	NOUN
ejpam-4922	160	19	:	:	PUNCT
ejpam-4922	160	20	∇h(x	∇h(x	PROPN
ejpam-4922	160	21	,	,	PUNCT
ejpam-4922	160	22	y	y	PROPN
ejpam-4922	160	23	,	,	PUNCT
ejpam-4922	160	24	t	t	PROPN
ejpam-4922	160	25	)	)	PUNCT
ejpam-4922	160	26	·	·	PUNCT
ejpam-4922	161	1	n(x	n(x	PROPN
ejpam-4922	161	2	,	,	PUNCT
ejpam-4922	161	3	y	y	NOUN
ejpam-4922	161	4	)	)	PUNCT
ejpam-4922	161	5	=	=	SYM
ejpam-4922	162	1	f2(x	f2(x	PROPN
ejpam-4922	162	2	,	,	PUNCT
ejpam-4922	162	3	y	y	PROPN
ejpam-4922	162	4	,	,	PUNCT
ejpam-4922	162	5	t	t	PROPN
ejpam-4922	162	6	)	)	PUNCT
ejpam-4922	162	7	(	(	PUNCT
ejpam-4922	162	8	52	52	NUM
ejpam-4922	162	9	)	)	PUNCT
ejpam-4922	162	10	where	where	SCONJ
ejpam-4922	162	11	n(x	n(x	PROPN
ejpam-4922	162	12	,	,	PUNCT
ejpam-4922	162	13	y	y	NOUN
ejpam-4922	162	14	)	)	PUNCT
ejpam-4922	162	15	is	be	AUX
ejpam-4922	162	16	the	the	DET
ejpam-4922	162	17	outward	outward	ADJ
ejpam-4922	162	18	unit	unit	NOUN
ejpam-4922	162	19	vector	vector	NOUN
ejpam-4922	162	20	normal	normal	ADJ
ejpam-4922	162	21	to	to	ADP
ejpam-4922	162	22	the	the	DET
ejpam-4922	162	23	boundary	boundary	ADJ
ejpam-4922	162	24	∂ω	∂ω	PROPN
ejpam-4922	162	25	.	.	PUNCT
ejpam-4922	163	1	initial	initial	ADJ
ejpam-4922	163	2	condition	condition	NOUN
ejpam-4922	163	3	:	:	PUNCT
ejpam-4922	163	4	h(x	h(x	PROPN
ejpam-4922	163	5	,	,	PUNCT
ejpam-4922	163	6	y	y	PROPN
ejpam-4922	163	7	,	,	PUNCT
ejpam-4922	163	8	0	0	NUM
ejpam-4922	163	9	)	)	PUNCT
ejpam-4922	163	10	=	=	SYM
ejpam-4922	163	11	f0(x	f0(x	PROPN
ejpam-4922	163	12	,	,	PUNCT
ejpam-4922	163	13	y	y	PROPN
ejpam-4922	163	14	)	)	PUNCT
ejpam-4922	163	15	(	(	PUNCT
ejpam-4922	163	16	53	53	NUM
ejpam-4922	163	17	)	)	PUNCT
ejpam-4922	163	18	where	where	SCONJ
ejpam-4922	163	19	f0	f0	PROPN
ejpam-4922	163	20	,	,	PUNCT
ejpam-4922	163	21	f1	f1	NOUN
ejpam-4922	163	22	and	and	CCONJ
ejpam-4922	163	23	f2	f2	PROPN
ejpam-4922	163	24	are	be	AUX
ejpam-4922	163	25	known	know	VERB
ejpam-4922	163	26	functions	function	NOUN
ejpam-4922	163	27	.	.	PUNCT
ejpam-4922	164	1	5	5	X
ejpam-4922	164	2	.	.	X
ejpam-4922	164	3	the	the	DET
ejpam-4922	164	4	finite	finite	PROPN
ejpam-4922	164	5	volume	volume	NOUN
ejpam-4922	164	6	method	method	NOUN
ejpam-4922	164	7	now	now	ADV
ejpam-4922	164	8	,	,	PUNCT
ejpam-4922	164	9	we	we	PRON
ejpam-4922	164	10	will	will	AUX
ejpam-4922	164	11	describe	describe	VERB
ejpam-4922	164	12	the	the	DET
ejpam-4922	164	13	fundamental	fundamental	ADJ
ejpam-4922	164	14	steps	step	NOUN
ejpam-4922	164	15	in	in	ADP
ejpam-4922	164	16	the	the	DET
ejpam-4922	164	17	derivation	derivation	NOUN
ejpam-4922	164	18	of	of	ADP
ejpam-4922	164	19	the	the	DET
ejpam-4922	164	20	finite	finite	ADJ
ejpam-4922	164	21	volume	volume	NOUN
ejpam-4922	164	22	method	method	NOUN
ejpam-4922	164	23	for	for	ADP
ejpam-4922	164	24	an	an	DET
ejpam-4922	164	25	unstructured	unstructured	ADJ
ejpam-4922	164	26	mesh	mesh	NOUN
ejpam-4922	164	27	.	.	PUNCT
ejpam-4922	165	1	the	the	DET
ejpam-4922	165	2	principle	principle	NOUN
ejpam-4922	165	3	of	of	ADP
ejpam-4922	165	4	finite	finite	ADJ
ejpam-4922	165	5	volume	volume	NOUN
ejpam-4922	165	6	method	method	NOUN
ejpam-4922	165	7	discretizes	discretize	VERB
ejpam-4922	165	8	the	the	DET
ejpam-4922	165	9	governing	govern	VERB
ejpam-4922	165	10	equations	equation	NOUN
ejpam-4922	165	11	the	the	DET
ejpam-4922	165	12	computational	computational	ADJ
ejpam-4922	165	13	domain	domain	NOUN
ejpam-4922	165	14	ω	ω	NOUN
ejpam-4922	165	15	is	be	AUX
ejpam-4922	165	16	first	first	ADV
ejpam-4922	165	17	split	split	VERB
ejpam-4922	165	18	or	or	CCONJ
ejpam-4922	165	19	discretized	discretize	VERB
ejpam-4922	165	20	into	into	ADP
ejpam-4922	165	21	ncells	ncell	NOUN
ejpam-4922	165	22	smaller	small	ADJ
ejpam-4922	165	23	control	control	NOUN
ejpam-4922	165	24	volumes	volume	NOUN
ejpam-4922	165	25	vi	vi	INTJ
ejpam-4922	165	26	such	such	ADJ
ejpam-4922	165	27	that	that	SCONJ
ejpam-4922	165	28	the	the	DET
ejpam-4922	165	29	collection	collection	NOUN
ejpam-4922	165	30	of	of	ADP
ejpam-4922	165	31	all	all	DET
ejpam-4922	165	32	those	those	DET
ejpam-4922	165	33	subdomains	subdomain	NOUN
ejpam-4922	165	34	forms	form	VERB
ejpam-4922	165	35	a	a	DET
ejpam-4922	165	36	partition	partition	NOUN
ejpam-4922	165	37	of	of	ADP
ejpam-4922	165	38	ω	ω	NUM
ejpam-4922	165	39	,	,	PUNCT
ejpam-4922	165	40	that	that	PRON
ejpam-4922	165	41	is	be	AUX
ejpam-4922	165	42	:	:	PUNCT
ejpam-4922	165	43	(	(	PUNCT
ejpam-4922	165	44	i	i	NOUN
ejpam-4922	165	45	)	)	PUNCT
ejpam-4922	165	46	each	each	DET
ejpam-4922	165	47	vi	vi	PROPN
ejpam-4922	165	48	is	be	AUX
ejpam-4922	165	49	an	an	DET
ejpam-4922	165	50	open	open	ADJ
ejpam-4922	165	51	,	,	PUNCT
ejpam-4922	165	52	simply	simply	ADV
ejpam-4922	165	53	connected	connect	VERB
ejpam-4922	165	54	,	,	PUNCT
ejpam-4922	165	55	these	these	DET
ejpam-4922	165	56	cells	cell	NOUN
ejpam-4922	165	57	may	may	AUX
ejpam-4922	165	58	be	be	AUX
ejpam-4922	165	59	of	of	ADP
ejpam-4922	165	60	arbitrary	arbitrary	ADJ
ejpam-4922	165	61	shape	shape	NOUN
ejpam-4922	165	62	and	and	CCONJ
ejpam-4922	165	63	size	size	NOUN
ejpam-4922	165	64	,	,	PUNCT
ejpam-4922	165	65	although	although	SCONJ
ejpam-4922	165	66	,	,	PUNCT
ejpam-4922	165	67	traditionally	traditionally	ADV
ejpam-4922	165	68	,	,	PUNCT
ejpam-4922	165	69	the	the	DET
ejpam-4922	165	70	cells	cell	NOUN
ejpam-4922	165	71	are	be	AUX
ejpam-4922	165	72	convex	convex	NOUN
ejpam-4922	165	73	polygons	polygon	NOUN
ejpam-4922	165	74	(	(	PUNCT
ejpam-4922	165	75	in	in	ADP
ejpam-4922	165	76	2d	2d	NUM
ejpam-4922	165	77	)	)	PUNCT
ejpam-4922	165	78	or	or	CCONJ
ejpam-4922	165	79	polyhedrons	polyhedron	NOUN
ejpam-4922	165	80	(	(	PUNCT
ejpam-4922	165	81	in	in	ADP
ejpam-4922	165	82	3d	3d	NUM
ejpam-4922	165	83	)	)	PUNCT
ejpam-4922	165	84	,	,	PUNCT
ejpam-4922	165	85	i.e.	i.e.	X
ejpam-4922	165	86	,	,	PUNCT
ejpam-4922	165	87	they	they	PRON
ejpam-4922	165	88	are	be	AUX
ejpam-4922	165	89	bounded	bound	VERB
ejpam-4922	165	90	by	by	ADP
ejpam-4922	165	91	straight	straight	ADJ
ejpam-4922	165	92	edges	edge	NOUN
ejpam-4922	165	93	(	(	PUNCT
ejpam-4922	165	94	in	in	ADP
ejpam-4922	165	95	2d	2d	NUM
ejpam-4922	165	96	)	)	PUNCT
ejpam-4922	165	97	or	or	CCONJ
ejpam-4922	165	98	planar	planar	ADJ
ejpam-4922	165	99	surfaces	surface	NOUN
ejpam-4922	165	100	(	(	PUNCT
ejpam-4922	165	101	in	in	ADP
ejpam-4922	165	102	3d	3d	NUM
ejpam-4922	165	103	)	)	PUNCT
ejpam-4922	165	104	.	.	PUNCT
ejpam-4922	166	1	(	(	PUNCT
ejpam-4922	166	2	ii	ii	X
ejpam-4922	166	3	)	)	PUNCT
ejpam-4922	166	4	vi	vi	PROPN
ejpam-4922	166	5	∩	∩	ADJ
ejpam-4922	166	6	vj	vj	X
ejpam-4922	166	7	=	=	NOUN
ejpam-4922	166	8	∅	∅	NOUN
ejpam-4922	166	9	(	(	PUNCT
ejpam-4922	166	10	i	i	PRON
ejpam-4922	166	11	̸=	̸=	PROPN
ejpam-4922	166	12	j	j	PROPN
ejpam-4922	166	13	)	)	PUNCT
ejpam-4922	166	14	,	,	PUNCT
ejpam-4922	166	15	(	(	PUNCT
ejpam-4922	166	16	iii	iii	X
ejpam-4922	166	17	)	)	PUNCT
ejpam-4922	166	18	ncells⋃	ncells⋃	NOUN
ejpam-4922	166	19	i=1	i=1	PROPN
ejpam-4922	166	20	vi	vi	PROPN
ejpam-4922	167	1	=	=	SYM
ejpam-4922	167	2	ω	ω	NUM
ejpam-4922	167	3	cells	cell	NOUN
ejpam-4922	167	4	are	be	AUX
ejpam-4922	167	5	names	name	NOUN
ejpam-4922	167	6	given	give	VERB
ejpam-4922	167	7	to	to	ADP
ejpam-4922	167	8	these	these	DET
ejpam-4922	167	9	control	control	NOUN
ejpam-4922	167	10	volumes	volume	NOUN
ejpam-4922	167	11	,	,	PUNCT
ejpam-4922	167	12	faces	face	NOUN
ejpam-4922	167	13	are	be	AUX
ejpam-4922	167	14	the	the	DET
ejpam-4922	167	15	surfaces	surface	NOUN
ejpam-4922	167	16	that	that	PRON
ejpam-4922	167	17	enclose	enclose	VERB
ejpam-4922	167	18	the	the	DET
ejpam-4922	167	19	cells	cell	NOUN
ejpam-4922	167	20	and	and	CCONJ
ejpam-4922	167	21	the	the	DET
ejpam-4922	167	22	vertices	vertex	NOUN
ejpam-4922	167	23	of	of	ADP
ejpam-4922	167	24	the	the	DET
ejpam-4922	167	25	cells	cell	NOUN
ejpam-4922	167	26	are	be	AUX
ejpam-4922	167	27	referred	refer	VERB
ejpam-4922	167	28	to	to	ADP
ejpam-4922	167	29	as	as	ADP
ejpam-4922	167	30	nodes	node	NOUN
ejpam-4922	167	31	,	,	PUNCT
ejpam-4922	167	32	which	which	PRON
ejpam-4922	167	33	are	be	AUX
ejpam-4922	167	34	linked	link	VERB
ejpam-4922	167	35	points	point	NOUN
ejpam-4922	167	36	within	within	ADP
ejpam-4922	167	37	the	the	DET
ejpam-4922	167	38	computational	computational	ADJ
ejpam-4922	167	39	domain	domain	NOUN
ejpam-4922	167	40	.	.	PUNCT
ejpam-4922	168	1	as	as	ADP
ejpam-4922	168	2	a	a	DET
ejpam-4922	168	3	result	result	NOUN
ejpam-4922	168	4	,	,	PUNCT
ejpam-4922	168	5	the	the	DET
ejpam-4922	168	6	governing	govern	VERB
ejpam-4922	168	7	equations	equation	NOUN
ejpam-4922	168	8	are	be	AUX
ejpam-4922	168	9	integrated	integrate	VERB
ejpam-4922	168	10	over	over	ADP
ejpam-4922	168	11	each	each	DET
ejpam-4922	168	12	control	control	NOUN
ejpam-4922	168	13	volume	volume	NOUN
ejpam-4922	168	14	vi	vi	PROPN
ejpam-4922	168	15	,	,	PUNCT
ejpam-4922	168	16	and	and	CCONJ
ejpam-4922	168	17	the	the	DET
ejpam-4922	168	18	resultant	resultant	NOUN
ejpam-4922	168	19	integrals	integral	NOUN
ejpam-4922	168	20	are	be	AUX
ejpam-4922	168	21	approximated	approximate	VERB
ejpam-4922	168	22	with	with	ADP
ejpam-4922	168	23	the	the	DET
ejpam-4922	168	24	mid	mid	ADJ
ejpam-4922	168	25	-	-	NOUN
ejpam-4922	168	26	point	point	NOUN
ejpam-4922	168	27	rule	rule	NOUN
ejpam-4922	168	28	or	or	CCONJ
ejpam-4922	168	29	gaussian	gaussian	ADJ
ejpam-4922	168	30	quadrature	quadrature	NOUN
ejpam-4922	168	31	rule	rule	NOUN
ejpam-4922	169	1	[	[	X
ejpam-4922	169	2	6	6	NUM
ejpam-4922	169	3	,	,	PUNCT
ejpam-4922	169	4	12	12	NUM
ejpam-4922	169	5	]	]	PUNCT
ejpam-4922	169	6	.	.	PUNCT
ejpam-4922	170	1	the	the	DET
ejpam-4922	170	2	volume	volume	NOUN
ejpam-4922	170	3	-	-	PUNCT
ejpam-4922	170	4	averaged	average	VERB
ejpam-4922	170	5	value	value	NOUN
ejpam-4922	170	6	is	be	AUX
ejpam-4922	170	7	defined	define	VERB
ejpam-4922	170	8	as	as	ADP
ejpam-4922	170	9	ho	ho	PROPN
ejpam-4922	170	10	=	=	SYM
ejpam-4922	170	11	1	1	NUM
ejpam-4922	170	12	vo	vo	NOUN
ejpam-4922	170	13	∫	∫	PROPN
ejpam-4922	170	14	v0	v0	PROPN
ejpam-4922	170	15	h	h	PROPN
ejpam-4922	170	16	dv	dv	PROPN
ejpam-4922	170	17	(	(	PUNCT
ejpam-4922	170	18	54	54	NUM
ejpam-4922	170	19	)	)	PUNCT
ejpam-4922	170	20	theorem	theorem	NOUN
ejpam-4922	170	21	1	1	NUM
ejpam-4922	170	22	(	(	PUNCT
ejpam-4922	170	23	gauss	gauss	NOUN
ejpam-4922	170	24	’s	’s	PART
ejpam-4922	170	25	divergence	divergence	NOUN
ejpam-4922	170	26	theorem	theorem	PROPN
ejpam-4922	170	27	)	)	PUNCT
ejpam-4922	170	28	.	.	PUNCT
ejpam-4922	171	1	let	let	VERB
ejpam-4922	171	2	us	we	PRON
ejpam-4922	171	3	consider	consider	VERB
ejpam-4922	171	4	a	a	DET
ejpam-4922	171	5	closed	closed	ADJ
ejpam-4922	171	6	bounded	bounded	ADJ
ejpam-4922	171	7	region	region	NOUN
ejpam-4922	171	8	in	in	ADP
ejpam-4922	171	9	space	space	NOUN
ejpam-4922	171	10	of	of	ADP
ejpam-4922	171	11	volume	volume	NOUN
ejpam-4922	171	12	vo	vo	PROPN
ejpam-4922	171	13	bounded	bound	VERB
ejpam-4922	171	14	by	by	ADP
ejpam-4922	171	15	a	a	DET
ejpam-4922	171	16	surface	surface	NOUN
ejpam-4922	171	17	of	of	ADP
ejpam-4922	171	18	area	area	NOUN
ejpam-4922	171	19	s	s	PART
ejpam-4922	171	20	,	,	PUNCT
ejpam-4922	171	21	as	as	SCONJ
ejpam-4922	171	22	shown	show	VERB
ejpam-4922	171	23	schematically	schematically	NOUN
ejpam-4922	171	24	in	in	ADP
ejpam-4922	171	25	figure	figure	NOUN
ejpam-4922	171	26	4	4	NUM
ejpam-4922	171	27	.	.	PUNCT
ejpam-4922	172	1	c.	c.	PROPN
ejpam-4922	172	2	j.	j.	PROPN
ejpam-4922	172	3	itoua	itoua	PROPN
ejpam-4922	172	4	-	-	PUNCT
ejpam-4922	172	5	tsele	tsele	NOUN
ejpam-4922	172	6	,	,	PUNCT
ejpam-4922	172	7	a.	a.	PROPN
ejpam-4922	172	8	f.	f.	PROPN
ejpam-4922	172	9	ouassissou	ouassissou	PROPN
ejpam-4922	172	10	/	/	SYM
ejpam-4922	172	11	eur	eur	PROPN
ejpam-4922	172	12	.	.	PUNCT
ejpam-4922	173	1	j.	j.	PROPN
ejpam-4922	173	2	pure	pure	PROPN
ejpam-4922	173	3	appl	appl	PROPN
ejpam-4922	173	4	.	.	PROPN
ejpam-4922	173	5	math	math	PROPN
ejpam-4922	173	6	,	,	PUNCT
ejpam-4922	173	7	16	16	NUM
ejpam-4922	173	8	(	(	PUNCT
ejpam-4922	173	9	4	4	NUM
ejpam-4922	173	10	)	)	PUNCT
ejpam-4922	173	11	(	(	PUNCT
ejpam-4922	173	12	2023	2023	NUM
ejpam-4922	173	13	)	)	PUNCT
ejpam-4922	173	14	,	,	PUNCT
ejpam-4922	173	15	2169	2169	NUM
ejpam-4922	173	16	-	-	SYM
ejpam-4922	173	17	2186	2186	NUM
ejpam-4922	173	18	2182	2182	NUM
ejpam-4922	173	19	let	let	VERB
ejpam-4922	173	20	j	j	PROPN
ejpam-4922	173	21	be	be	AUX
ejpam-4922	173	22	a	a	DET
ejpam-4922	173	23	vector	vector	NOUN
ejpam-4922	173	24	field	field	NOUN
ejpam-4922	173	25	that	that	PRON
ejpam-4922	173	26	is	be	AUX
ejpam-4922	173	27	continuous	continuous	ADJ
ejpam-4922	173	28	and	and	CCONJ
ejpam-4922	173	29	has	have	VERB
ejpam-4922	173	30	continuous	continuous	ADJ
ejpam-4922	173	31	first	first	ADJ
ejpam-4922	173	32	partial	partial	ADJ
ejpam-4922	173	33	derivatives	derivative	NOUN
ejpam-4922	173	34	in	in	ADP
ejpam-4922	173	35	this	this	DET
ejpam-4922	173	36	region	region	NOUN
ejpam-4922	173	37	.	.	PUNCT
ejpam-4922	174	1	gauss	gauss	ADJ
ejpam-4922	174	2	’	'	PUNCT
ejpam-4922	174	3	divergence	divergence	NOUN
ejpam-4922	174	4	theorem	theorem	NOUN
ejpam-4922	174	5	asserts	assert	VERB
ejpam-4922	174	6	that∫	that∫	PROPN
ejpam-4922	174	7	vo	vo	PROPN
ejpam-4922	174	8	∇	∇	PROPN
ejpam-4922	174	9	·	·	PUNCT
ejpam-4922	175	1	j	j	PROPN
ejpam-4922	175	2	dv	dv	PROPN
ejpam-4922	175	3	=	=	PROPN
ejpam-4922	175	4	∫	∫	PROPN
ejpam-4922	175	5	s	s	PROPN
ejpam-4922	175	6	j	j	PROPN
ejpam-4922	175	7	·	·	PUNCT
ejpam-4922	175	8	n̂	n̂	NUM
ejpam-4922	175	9	da	da	X
ejpam-4922	175	10	(	(	PUNCT
ejpam-4922	175	11	55	55	NUM
ejpam-4922	175	12	)	)	PUNCT
ejpam-4922	175	13	where	where	SCONJ
ejpam-4922	175	14	n̂	n̂	PUNCT
ejpam-4922	175	15	is	be	AUX
ejpam-4922	175	16	the	the	DET
ejpam-4922	175	17	outward	outward	ADV
ejpam-4922	175	18	-	-	PUNCT
ejpam-4922	175	19	pointing	point	VERB
ejpam-4922	175	20	unit	unit	NOUN
ejpam-4922	175	21	surface	surface	VERB
ejpam-4922	175	22	normal	normal	ADJ
ejpam-4922	175	23	to	to	ADP
ejpam-4922	175	24	the	the	DET
ejpam-4922	175	25	differential	differential	ADJ
ejpam-4922	175	26	area	area	NOUN
ejpam-4922	175	27	da	da	PROPN
ejpam-4922	175	28	.	.	PROPN
ejpam-4922	175	29	figure	figure	NOUN
ejpam-4922	175	30	4	4	NUM
ejpam-4922	175	31	:	:	PUNCT
ejpam-4922	175	32	control	control	NOUN
ejpam-4922	175	33	volume	volume	NOUN
ejpam-4922	175	34	[	[	X
ejpam-4922	175	35	12	12	NUM
ejpam-4922	175	36	]	]	PUNCT
ejpam-4922	175	37	in	in	ADP
ejpam-4922	175	38	general	general	ADJ
ejpam-4922	175	39	,	,	PUNCT
ejpam-4922	175	40	finite	finite	ADJ
ejpam-4922	175	41	volume	volume	NOUN
ejpam-4922	175	42	approaches	approach	NOUN
ejpam-4922	175	43	may	may	AUX
ejpam-4922	175	44	be	be	AUX
ejpam-4922	175	45	identified	identify	VERB
ejpam-4922	175	46	by	by	ADP
ejpam-4922	175	47	the	the	DET
ejpam-4922	175	48	following	follow	VERB
ejpam-4922	175	49	criteria	criterion	NOUN
ejpam-4922	175	50	[	[	X
ejpam-4922	175	51	9	9	NUM
ejpam-4922	175	52	]	]	SYM
ejpam-4922	175	53	:	:	PUNCT
ejpam-4922	175	54	(	(	PUNCT
ejpam-4922	175	55	i	i	NOUN
ejpam-4922	175	56	)	)	PUNCT
ejpam-4922	175	57	the	the	DET
ejpam-4922	175	58	geometric	geometric	ADJ
ejpam-4922	175	59	shape	shape	NOUN
ejpam-4922	175	60	of	of	ADP
ejpam-4922	175	61	the	the	DET
ejpam-4922	175	62	control	control	NOUN
ejpam-4922	175	63	volumes	volume	NOUN
ejpam-4922	175	64	vi	vi	PROPN
ejpam-4922	175	65	,	,	PUNCT
ejpam-4922	175	66	(	(	PUNCT
ejpam-4922	175	67	ii	ii	NOUN
ejpam-4922	175	68	)	)	PUNCT
ejpam-4922	175	69	the	the	DET
ejpam-4922	175	70	position	position	NOUN
ejpam-4922	175	71	of	of	ADP
ejpam-4922	175	72	the	the	DET
ejpam-4922	175	73	unknowns	unknown	NOUN
ejpam-4922	175	74	(	(	PUNCT
ejpam-4922	175	75	“	"	PUNCT
ejpam-4922	175	76	problem	problem	NOUN
ejpam-4922	175	77	variables	variable	NOUN
ejpam-4922	175	78	”	"	PUNCT
ejpam-4922	175	79	)	)	PUNCT
ejpam-4922	175	80	with	with	ADP
ejpam-4922	175	81	respect	respect	NOUN
ejpam-4922	175	82	to	to	ADP
ejpam-4922	175	83	the	the	DET
ejpam-4922	175	84	control	control	NOUN
ejpam-4922	175	85	volumes	volume	NOUN
ejpam-4922	175	86	,	,	PUNCT
ejpam-4922	175	87	(	(	PUNCT
ejpam-4922	175	88	iii	iii	X
ejpam-4922	175	89	)	)	PUNCT
ejpam-4922	175	90	the	the	DET
ejpam-4922	175	91	approximation	approximation	NOUN
ejpam-4922	175	92	of	of	ADP
ejpam-4922	175	93	the	the	DET
ejpam-4922	175	94	boundary	boundary	ADJ
ejpam-4922	175	95	(	(	PUNCT
ejpam-4922	175	96	line	line	NOUN
ejpam-4922	175	97	(	(	PUNCT
ejpam-4922	175	98	d	d	NOUN
ejpam-4922	175	99	=	=	SYM
ejpam-4922	175	100	2	2	NUM
ejpam-4922	175	101	)	)	PUNCT
ejpam-4922	175	102	or	or	CCONJ
ejpam-4922	175	103	surface	surface	NOUN
ejpam-4922	175	104	(	(	PUNCT
ejpam-4922	175	105	d	d	NOUN
ejpam-4922	175	106	=	=	SYM
ejpam-4922	175	107	3	3	NUM
ejpam-4922	175	108	)	)	PUNCT
ejpam-4922	175	109	)	)	PUNCT
ejpam-4922	175	110	integrals	integral	NOUN
ejpam-4922	175	111	.	.	PUNCT
ejpam-4922	176	1	the	the	DET
ejpam-4922	176	2	second	second	ADJ
ejpam-4922	176	3	criterion	criterion	NOUN
ejpam-4922	176	4	,	,	PUNCT
ejpam-4922	176	5	in	in	ADP
ejpam-4922	176	6	particular	particular	ADJ
ejpam-4922	176	7	,	,	PUNCT
ejpam-4922	176	8	splits	split	VERB
ejpam-4922	176	9	the	the	DET
ejpam-4922	176	10	finite	finite	ADJ
ejpam-4922	176	11	volume	volume	NOUN
ejpam-4922	176	12	method	method	NOUN
ejpam-4922	176	13	into	into	ADP
ejpam-4922	176	14	two	two	NUM
ejpam-4922	176	15	broad	broad	ADJ
ejpam-4922	176	16	categories	category	NOUN
ejpam-4922	176	17	:	:	PUNCT
ejpam-4922	176	18	the	the	DET
ejpam-4922	176	19	cell	cell	NOUN
ejpam-4922	176	20	-	-	PUNCT
ejpam-4922	176	21	centered	center	VERB
ejpam-4922	176	22	and	and	CCONJ
ejpam-4922	176	23	the	the	DET
ejpam-4922	176	24	cell	cell	NOUN
ejpam-4922	176	25	-	-	PUNCT
ejpam-4922	176	26	vertex	vertex	NOUN
ejpam-4922	176	27	finite	finite	NOUN
ejpam-4922	176	28	volume	volume	NOUN
ejpam-4922	176	29	methods	method	NOUN
ejpam-4922	176	30	.	.	PUNCT
ejpam-4922	177	1	in	in	ADP
ejpam-4922	177	2	the	the	DET
ejpam-4922	177	3	cell	cell	NOUN
ejpam-4922	177	4	-	-	PUNCT
ejpam-4922	177	5	centered	center	VERB
ejpam-4922	177	6	methods	method	NOUN
ejpam-4922	177	7	,	,	PUNCT
ejpam-4922	177	8	the	the	DET
ejpam-4922	177	9	unknowns	unknown	NOUN
ejpam-4922	177	10	are	be	AUX
ejpam-4922	177	11	associated	associate	VERB
ejpam-4922	177	12	with	with	ADP
ejpam-4922	177	13	the	the	DET
ejpam-4922	177	14	control	control	NOUN
ejpam-4922	177	15	volumes	volume	NOUN
ejpam-4922	177	16	(	(	PUNCT
ejpam-4922	177	17	for	for	ADP
ejpam-4922	177	18	example	example	NOUN
ejpam-4922	177	19	,	,	PUNCT
ejpam-4922	177	20	any	any	DET
ejpam-4922	177	21	control	control	NOUN
ejpam-4922	177	22	volume	volume	NOUN
ejpam-4922	177	23	corresponds	correspond	VERB
ejpam-4922	177	24	to	to	ADP
ejpam-4922	177	25	a	a	DET
ejpam-4922	177	26	function	function	NOUN
ejpam-4922	177	27	value	value	NOUN
ejpam-4922	177	28	at	at	ADP
ejpam-4922	177	29	some	some	DET
ejpam-4922	177	30	interior	interior	ADJ
ejpam-4922	177	31	point	point	NOUN
ejpam-4922	177	32	(	(	PUNCT
ejpam-4922	177	33	e.g.	e.g.	ADV
ejpam-4922	177	34	,	,	PUNCT
ejpam-4922	177	35	at	at	ADP
ejpam-4922	177	36	the	the	DET
ejpam-4922	177	37	barycentre	barycentre	NOUN
ejpam-4922	177	38	)	)	PUNCT
ejpam-4922	177	39	)	)	PUNCT
ejpam-4922	177	40	.	.	PUNCT
ejpam-4922	178	1	in	in	ADP
ejpam-4922	178	2	the	the	DET
ejpam-4922	178	3	cell	cell	NOUN
ejpam-4922	178	4	-	-	PUNCT
ejpam-4922	178	5	vertex	vertex	NOUN
ejpam-4922	178	6	methods	method	NOUN
ejpam-4922	178	7	,	,	PUNCT
ejpam-4922	178	8	the	the	DET
ejpam-4922	178	9	unknowns	unknown	NOUN
ejpam-4922	178	10	are	be	AUX
ejpam-4922	178	11	located	locate	VERB
ejpam-4922	178	12	at	at	ADP
ejpam-4922	178	13	the	the	DET
ejpam-4922	178	14	vertices	vertex	NOUN
ejpam-4922	178	15	of	of	ADP
ejpam-4922	178	16	the	the	DET
ejpam-4922	178	17	control	control	NOUN
ejpam-4922	178	18	volumes	volume	NOUN
ejpam-4922	178	19	.	.	PUNCT
ejpam-4922	179	1	6	6	X
ejpam-4922	179	2	.	.	X
ejpam-4922	179	3	discretization	discretization	NOUN
ejpam-4922	179	4	of	of	ADP
ejpam-4922	179	5	the	the	DET
ejpam-4922	179	6	diffusivity	diffusivity	NOUN
ejpam-4922	179	7	equation	equation	NOUN
ejpam-4922	179	8	to	to	PART
ejpam-4922	179	9	discretize	discretize	VERB
ejpam-4922	179	10	equation	equation	NOUN
ejpam-4922	179	11	(	(	PUNCT
ejpam-4922	179	12	50	50	NUM
ejpam-4922	179	13	)	)	PUNCT
ejpam-4922	179	14	,	,	PUNCT
ejpam-4922	179	15	we	we	PRON
ejpam-4922	179	16	integrate	integrate	VERB
ejpam-4922	179	17	it	it	PRON
ejpam-4922	179	18	into	into	ADP
ejpam-4922	179	19	each	each	DET
ejpam-4922	179	20	cell	cell	NOUN
ejpam-4922	179	21	vo	vo	NOUN
ejpam-4922	179	22	,	,	PUNCT
ejpam-4922	179	23	and	and	CCONJ
ejpam-4922	179	24	for	for	ADP
ejpam-4922	179	25	each	each	DET
ejpam-4922	179	26	time	time	NOUN
ejpam-4922	179	27	interval	interval	NOUN
ejpam-4922	179	28	[	[	X
ejpam-4922	179	29	t	t	X
ejpam-4922	179	30	,	,	PUNCT
ejpam-4922	179	31	t+∆t	t+∆t	PROPN
ejpam-4922	179	32	]	]	PUNCT
ejpam-4922	179	33	,	,	PUNCT
ejpam-4922	180	1	yiels:∫	yiels:∫	PROPN
ejpam-4922	180	2	t+∆t	t+∆t	PROPN
ejpam-4922	180	3	t	t	PROPN
ejpam-4922	180	4	∫	∫	PROPN
ejpam-4922	180	5	vo	vo	X
ejpam-4922	180	6	s	s	PROPN
ejpam-4922	181	1	∂h	∂h	PROPN
ejpam-4922	181	2	∂t	∂t	PROPN
ejpam-4922	181	3	dv	dv	PROPN
ejpam-4922	181	4	dt	dt	PROPN
ejpam-4922	182	1	=	=	SYM
ejpam-4922	182	2	∫	∫	PROPN
ejpam-4922	183	1	t+∆t	t+∆t	PROPN
ejpam-4922	183	2	t	t	PROPN
ejpam-4922	183	3	∫	∫	PROPN
ejpam-4922	183	4	vo	vo	X
ejpam-4922	183	5	∇	∇	X
ejpam-4922	183	6	·	·	PUNCT
ejpam-4922	183	7	(	(	PUNCT
ejpam-4922	183	8	t	t	X
ejpam-4922	183	9	·	·	PUNCT
ejpam-4922	183	10	∇h	∇h	PROPN
ejpam-4922	183	11	)	)	PUNCT
ejpam-4922	183	12	dv	dv	PROPN
ejpam-4922	183	13	dt+	dt+	NOUN
ejpam-4922	183	14	∫	∫	PROPN
ejpam-4922	184	1	t+∆t	t+∆t	PROPN
ejpam-4922	184	2	t	t	PROPN
ejpam-4922	184	3	∫	∫	PROPN
ejpam-4922	184	4	vo	vo	PROPN
ejpam-4922	184	5	n	n	PROPN
ejpam-4922	184	6	dv	dv	PROPN
ejpam-4922	184	7	dt	dt	X
ejpam-4922	184	8	(	(	PUNCT
ejpam-4922	184	9	56	56	NUM
ejpam-4922	184	10	)	)	PUNCT
ejpam-4922	184	11	c.	c.	PROPN
ejpam-4922	184	12	j.	j.	PROPN
ejpam-4922	184	13	itoua	itoua	PROPN
ejpam-4922	184	14	-	-	PUNCT
ejpam-4922	184	15	tsele	tsele	NOUN
ejpam-4922	184	16	,	,	PUNCT
ejpam-4922	184	17	a.	a.	PROPN
ejpam-4922	184	18	f.	f.	PROPN
ejpam-4922	184	19	ouassissou	ouassissou	PROPN
ejpam-4922	184	20	/	/	SYM
ejpam-4922	184	21	eur	eur	PROPN
ejpam-4922	184	22	.	.	PUNCT
ejpam-4922	185	1	j.	j.	PROPN
ejpam-4922	185	2	pure	pure	PROPN
ejpam-4922	185	3	appl	appl	PROPN
ejpam-4922	185	4	.	.	PROPN
ejpam-4922	185	5	math	math	PROPN
ejpam-4922	185	6	,	,	PUNCT
ejpam-4922	185	7	16	16	NUM
ejpam-4922	185	8	(	(	PUNCT
ejpam-4922	185	9	4	4	NUM
ejpam-4922	185	10	)	)	PUNCT
ejpam-4922	185	11	(	(	PUNCT
ejpam-4922	185	12	2023	2023	NUM
ejpam-4922	185	13	)	)	PUNCT
ejpam-4922	185	14	,	,	PUNCT
ejpam-4922	185	15	2169	2169	NUM
ejpam-4922	185	16	-	-	SYM
ejpam-4922	185	17	2186	2186	NUM
ejpam-4922	185	18	2183	2183	NUM
ejpam-4922	185	19	6.1	6.1	NUM
ejpam-4922	185	20	.	.	PUNCT
ejpam-4922	186	1	discretization	discretization	NOUN
ejpam-4922	186	2	of	of	ADP
ejpam-4922	186	3	transient	transient	ADJ
ejpam-4922	186	4	term	term	NOUN
ejpam-4922	186	5	for	for	ADP
ejpam-4922	186	6	the	the	DET
ejpam-4922	186	7	transient	transient	ADJ
ejpam-4922	186	8	term	term	NOUN
ejpam-4922	186	9	,	,	PUNCT
ejpam-4922	186	10	we	we	PRON
ejpam-4922	186	11	integrate	integrate	VERB
ejpam-4922	186	12	with	with	ADP
ejpam-4922	186	13	respect	respect	NOUN
ejpam-4922	186	14	to	to	ADP
ejpam-4922	186	15	t	t	NOUN
ejpam-4922	186	16	and	and	CCONJ
ejpam-4922	186	17	apply	apply	VERB
ejpam-4922	186	18	the	the	DET
ejpam-4922	186	19	average	average	ADJ
ejpam-4922	186	20	definition	definition	NOUN
ejpam-4922	186	21	,	,	PUNCT
ejpam-4922	186	22	then	then	ADV
ejpam-4922	186	23	this	this	PRON
ejpam-4922	186	24	gives	give	VERB
ejpam-4922	186	25	:	:	PUNCT
ejpam-4922	186	26	∫	∫	PROPN
ejpam-4922	187	1	t+∆t	t+∆t	PROPN
ejpam-4922	187	2	t	t	PROPN
ejpam-4922	187	3	∫	∫	PROPN
ejpam-4922	187	4	vo	vo	X
ejpam-4922	187	5	s	s	PROPN
ejpam-4922	188	1	∂h	∂h	PROPN
ejpam-4922	188	2	∂t	∂t	PROPN
ejpam-4922	188	3	dv	dv	PROPN
ejpam-4922	188	4	dt	dt	PROPN
ejpam-4922	189	1	=	=	SYM
ejpam-4922	189	2	∫	∫	PROPN
ejpam-4922	189	3	vo	vo	X
ejpam-4922	189	4	s(hn+1	s(hn+1	PROPN
ejpam-4922	189	5	−	−	PROPN
ejpam-4922	190	1	hn	hn	PROPN
ejpam-4922	190	2	)	)	PUNCT
ejpam-4922	190	3	dv	dv	PROPN
ejpam-4922	190	4	=	=	PROPN
ejpam-4922	190	5	sovo(ho	sovo(ho	PROPN
ejpam-4922	190	6	−	−	PROPN
ejpam-4922	190	7	holdo	holdo	NOUN
ejpam-4922	190	8	)	)	PUNCT
ejpam-4922	190	9	(	(	PUNCT
ejpam-4922	190	10	57	57	NUM
ejpam-4922	190	11	)	)	PUNCT
ejpam-4922	190	12	6.2	6.2	NUM
ejpam-4922	190	13	.	.	PUNCT
ejpam-4922	191	1	discretization	discretization	NOUN
ejpam-4922	191	2	of	of	ADP
ejpam-4922	191	3	diffusion	diffusion	NOUN
ejpam-4922	191	4	term	term	NOUN
ejpam-4922	191	5	∇	∇	X
ejpam-4922	191	6	·	·	PUNCT
ejpam-4922	191	7	(	(	PUNCT
ejpam-4922	191	8	t	t	X
ejpam-4922	191	9	·	·	PUNCT
ejpam-4922	191	10	∇h	∇h	PROPN
ejpam-4922	191	11	)	)	PUNCT
ejpam-4922	191	12	the	the	DET
ejpam-4922	191	13	discretization	discretization	NOUN
ejpam-4922	191	14	for	for	ADP
ejpam-4922	191	15	the	the	DET
ejpam-4922	191	16	diffusion	diffusion	NOUN
ejpam-4922	191	17	term	term	NOUN
ejpam-4922	191	18	is	be	AUX
ejpam-4922	191	19	given	give	VERB
ejpam-4922	191	20	by∫	by∫	PROPN
ejpam-4922	191	21	t+∆t	t+∆t	PROPN
ejpam-4922	191	22	t	t	PROPN
ejpam-4922	191	23	∫	∫	PROPN
ejpam-4922	191	24	vo	vo	X
ejpam-4922	191	25	∇	∇	X
ejpam-4922	191	26	·	·	PUNCT
ejpam-4922	192	1	(	(	PUNCT
ejpam-4922	192	2	t∇h	t∇h	NUM
ejpam-4922	192	3	)	)	PUNCT
ejpam-4922	192	4	dv	dv	PROPN
ejpam-4922	192	5	dt	dt	PROPN
ejpam-4922	192	6	=	=	SYM
ejpam-4922	192	7	∫	∫	PROPN
ejpam-4922	193	1	t+∆t	t+∆t	PROPN
ejpam-4922	193	2	t	t	PROPN
ejpam-4922	193	3	∫	∫	PROPN
ejpam-4922	193	4	s	s	PROPN
ejpam-4922	193	5	t	t	PROPN
ejpam-4922	193	6	(	(	PUNCT
ejpam-4922	193	7	∇h	∇h	PROPN
ejpam-4922	193	8	·	·	PUNCT
ejpam-4922	193	9	n̂	n̂	NUM
ejpam-4922	193	10	)	)	PUNCT
ejpam-4922	193	11	dadt	dadt	NOUN
ejpam-4922	193	12	=	=	SYM
ejpam-4922	193	13	∫	∫	PROPN
ejpam-4922	194	1	t+∆t	t+∆t	PROPN
ejpam-4922	194	2	t	t	PROPN
ejpam-4922	194	3	nf	nf	NOUN
ejpam-4922	194	4	,	,	PUNCT
ejpam-4922	194	5	o∑	o∑	NUM
ejpam-4922	194	6	f=1	f=1	PROPN
ejpam-4922	194	7	∫	∫	PROPN
ejpam-4922	194	8	sf	sf	PROPN
ejpam-4922	194	9	t	t	PROPN
ejpam-4922	194	10	(	(	PUNCT
ejpam-4922	194	11	∇h	∇h	PROPN
ejpam-4922	194	12	·	·	PUNCT
ejpam-4922	194	13	n̂	n̂	NUM
ejpam-4922	194	14	)	)	PUNCT
ejpam-4922	194	15	da	da	NOUN
ejpam-4922	194	16			PROPN
ejpam-4922	195	1	dt	dt	NOUN
ejpam-4922	195	2	=	=	SYM
ejpam-4922	195	3	∫	∫	PROPN
ejpam-4922	195	4	t+∆t	t+∆t	PROPN
ejpam-4922	195	5	t	t	PROPN
ejpam-4922	195	6	nf	nf	NOUN
ejpam-4922	195	7	,	,	PUNCT
ejpam-4922	195	8	o∑	o∑	ADP
ejpam-4922	195	9	f=1	f=1	ADV
ejpam-4922	195	10	tf	tf	INTJ
ejpam-4922	195	11	(	(	PUNCT
ejpam-4922	195	12	∇h	∇h	NOUN
ejpam-4922	195	13	·	·	PUNCT
ejpam-4922	195	14	n̂)faf	n̂)faf	NOUN
ejpam-4922	195	15			PROPN
ejpam-4922	195	16	dt	dt	X
ejpam-4922	196	1	=	=	SYM
ejpam-4922	196	2	nf	nf	PROPN
ejpam-4922	196	3	,	,	PUNCT
ejpam-4922	196	4	o∑	o∑	VERB
ejpam-4922	196	5	f=1	f=1	ADV
ejpam-4922	196	6	tf	tf	INTJ
ejpam-4922	196	7	(	(	PUNCT
ejpam-4922	196	8	∇h	∇h	PROPN
ejpam-4922	196	9	·	·	PUNCT
ejpam-4922	196	10	n̂)faf∆t	n̂)faf∆t	PROPN
ejpam-4922	196	11	(	(	PUNCT
ejpam-4922	196	12	58	58	NUM
ejpam-4922	196	13	)	)	PUNCT
ejpam-4922	196	14	the	the	DET
ejpam-4922	196	15	estimation	estimation	NOUN
ejpam-4922	196	16	for	for	ADP
ejpam-4922	196	17	the	the	DET
ejpam-4922	196	18	flux	flux	NOUN
ejpam-4922	196	19	,	,	PUNCT
ejpam-4922	196	20	(	(	PUNCT
ejpam-4922	196	21	∇h	∇h	NOUN
ejpam-4922	196	22	·	·	PUNCT
ejpam-4922	196	23	n̂)f	n̂)f	INTJ
ejpam-4922	196	24	,	,	PUNCT
ejpam-4922	196	25	is	be	AUX
ejpam-4922	196	26	given	give	VERB
ejpam-4922	196	27	as	as	ADP
ejpam-4922	196	28	:	:	PUNCT
ejpam-4922	196	29	(	(	PUNCT
ejpam-4922	196	30	∇h)f	∇h)f	X
ejpam-4922	196	31	·	·	PUNCT
ejpam-4922	196	32	n̂f	n̂f	PRON
ejpam-4922	196	33	=	=	PUNCT
ejpam-4922	197	1	hn	hn	PROPN
ejpam-4922	197	2	−	−	PROPN
ejpam-4922	197	3	ho	ho	PROPN
ejpam-4922	197	4	δf	δf	INTJ
ejpam-4922	197	5	−	−	PROPN
ejpam-4922	197	6	[	[	PUNCT
ejpam-4922	197	7	ha(f	ha(f	NOUN
ejpam-4922	197	8	)	)	PUNCT
ejpam-4922	197	9	−	−	NOUN
ejpam-4922	197	10	hb(f	hb(f	NOUN
ejpam-4922	197	11	)	)	PUNCT
ejpam-4922	197	12	δfaf	δfaf	NOUN
ejpam-4922	197	13	]	]	PUNCT
ejpam-4922	197	14	(	(	PUNCT
ejpam-4922	197	15	xa	xa	PROPN
ejpam-4922	197	16	−	−	PROPN
ejpam-4922	197	17	xb)(xn	xb)(xn	PUNCT
ejpam-4922	198	1	−	−	PROPN
ejpam-4922	198	2	xo	xo	PROPN
ejpam-4922	198	3	)	)	PUNCT
ejpam-4922	199	1	+	+	CCONJ
ejpam-4922	199	2	(	(	PUNCT
ejpam-4922	199	3	ya	ya	PROPN
ejpam-4922	199	4	−	−	PROPN
ejpam-4922	199	5	yb)(yn	yb)(yn	PROPN
ejpam-4922	199	6	−	−	PROPN
ejpam-4922	199	7	yo	yo	PROPN
ejpam-4922	199	8	)	)	PUNCT
ejpam-4922	199	9	af	af	PROPN
ejpam-4922	199	10	.	.	PUNCT
ejpam-4922	200	1	(	(	PUNCT
ejpam-4922	200	2	59	59	NUM
ejpam-4922	200	3	)	)	PUNCT
ejpam-4922	200	4	where	where	SCONJ
ejpam-4922	200	5	ha(f	ha(f	NUM
ejpam-4922	200	6	)	)	PUNCT
ejpam-4922	200	7	and	and	CCONJ
ejpam-4922	200	8	hb(f	hb(f	NUM
ejpam-4922	200	9	)	)	PUNCT
ejpam-4922	200	10	are	be	AUX
ejpam-4922	200	11	the	the	DET
ejpam-4922	200	12	value	value	NOUN
ejpam-4922	200	13	of	of	ADP
ejpam-4922	200	14	h	h	NOUN
ejpam-4922	200	15	at	at	ADP
ejpam-4922	200	16	the	the	DET
ejpam-4922	200	17	vertices	vertex	NOUN
ejpam-4922	200	18	a	a	PRON
ejpam-4922	200	19	and	and	CCONJ
ejpam-4922	200	20	b	b	NOUN
ejpam-4922	200	21	,	,	PUNCT
ejpam-4922	200	22	respectively	respectively	ADV
ejpam-4922	200	23	.	.	PUNCT
ejpam-4922	201	1	to	to	PART
ejpam-4922	201	2	compute	compute	VERB
ejpam-4922	201	3	ha(f	ha(f	PRON
ejpam-4922	201	4	)	)	PUNCT
ejpam-4922	201	5	and	and	CCONJ
ejpam-4922	201	6	hb(f	hb(f	NUM
ejpam-4922	201	7	)	)	PUNCT
ejpam-4922	201	8	,	,	PUNCT
ejpam-4922	201	9	we	we	PRON
ejpam-4922	201	10	make	make	VERB
ejpam-4922	201	11	use	use	NOUN
ejpam-4922	201	12	of	of	ADP
ejpam-4922	201	13	the	the	DET
ejpam-4922	201	14	interpolation	interpolation	NOUN
ejpam-4922	201	15	function	function	NOUN
ejpam-4922	201	16	facteur	facteur	PROPN
ejpam-4922	201	17	,	,	PUNCT
ejpam-4922	201	18	if	if	SCONJ
ejpam-4922	201	19	a	a	DET
ejpam-4922	201	20	vertex	vertex	NOUN
ejpam-4922	201	21	(	(	PUNCT
ejpam-4922	201	22	or	or	CCONJ
ejpam-4922	201	23	node	node	NOUN
ejpam-4922	201	24	)	)	PUNCT
ejpam-4922	201	25	is	be	AUX
ejpam-4922	201	26	influenced	influence	VERB
ejpam-4922	201	27	by	by	ADP
ejpam-4922	201	28	nc	nc	PROPN
ejpam-4922	201	29	cells	cell	NOUN
ejpam-4922	201	30	,	,	PUNCT
ejpam-4922	201	31	then	then	ADV
ejpam-4922	201	32	wv	wv	PROPN
ejpam-4922	201	33	,	,	PUNCT
ejpam-4922	201	34	i	i	PRON
ejpam-4922	201	35	=	=	NOUN
ejpam-4922	201	36	1	1	NUM
ejpam-4922	201	37	/	/	SYM
ejpam-4922	201	38	di	di	NOUN
ejpam-4922	201	39	nc∑	nc∑	NOUN
ejpam-4922	201	40	i=1	i=1	PROPN
ejpam-4922	201	41	1	1	NUM
ejpam-4922	201	42	/	/	SYM
ejpam-4922	201	43	di	di	NOUN
ejpam-4922	201	44	,	,	PUNCT
ejpam-4922	201	45	(	(	PUNCT
ejpam-4922	201	46	60	60	NUM
ejpam-4922	201	47	)	)	PUNCT
ejpam-4922	201	48	where	where	SCONJ
ejpam-4922	201	49	the	the	DET
ejpam-4922	201	50	interpolation	interpolation	NOUN
ejpam-4922	201	51	function	function	NOUN
ejpam-4922	201	52	facteur	facteur	PROPN
ejpam-4922	201	53	wv	wv	PROPN
ejpam-4922	201	54	,	,	PUNCT
ejpam-4922	201	55	i	i	PRON
ejpam-4922	201	56	,	,	PUNCT
ejpam-4922	201	57	represents	represent	VERB
ejpam-4922	201	58	the	the	DET
ejpam-4922	201	59	contribution	contribution	NOUN
ejpam-4922	201	60	of	of	ADP
ejpam-4922	201	61	the	the	DET
ejpam-4922	201	62	ith	ith	NOUN
ejpam-4922	201	63	surrounding	surround	VERB
ejpam-4922	201	64	cell	cell	NOUN
ejpam-4922	201	65	to	to	ADP
ejpam-4922	201	66	the	the	DET
ejpam-4922	201	67	vertex	vertex	NOUN
ejpam-4922	201	68	,	,	PUNCT
ejpam-4922	201	69	v	v	NOUN
ejpam-4922	201	70	and	and	CCONJ
ejpam-4922	201	71	di	di	NOUN
ejpam-4922	201	72	is	be	AUX
ejpam-4922	201	73	the	the	DET
ejpam-4922	201	74	distance	distance	NOUN
ejpam-4922	201	75	between	between	ADP
ejpam-4922	201	76	the	the	DET
ejpam-4922	201	77	vertex	vertex	NOUN
ejpam-4922	201	78	v	v	NOUN
ejpam-4922	201	79	and	and	CCONJ
ejpam-4922	201	80	the	the	DET
ejpam-4922	201	81	cell	cell	NOUN
ejpam-4922	201	82	center	center	NOUN
ejpam-4922	201	83	i	i	PRON
ejpam-4922	201	84	of	of	ADP
ejpam-4922	201	85	cell	cell	NOUN
ejpam-4922	201	86	i.	i.	NOUN
ejpam-4922	201	87	once	once	SCONJ
ejpam-4922	201	88	the	the	DET
ejpam-4922	201	89	interpolation	interpolation	NOUN
ejpam-4922	201	90	function	function	NOUN
ejpam-4922	201	91	has	have	AUX
ejpam-4922	201	92	been	be	AUX
ejpam-4922	201	93	computed	compute	VERB
ejpam-4922	201	94	and	and	CCONJ
ejpam-4922	201	95	stored	store	VERB
ejpam-4922	201	96	,	,	PUNCT
ejpam-4922	202	1	the	the	DET
ejpam-4922	202	2	vertex	vertex	NOUN
ejpam-4922	202	3	(	(	PUNCT
ejpam-4922	202	4	or	or	CCONJ
ejpam-4922	202	5	nodal	nodal	NOUN
ejpam-4922	202	6	)	)	PUNCT
ejpam-4922	202	7	value	value	NOUN
ejpam-4922	202	8	of	of	ADP
ejpam-4922	202	9	h	h	NOUN
ejpam-4922	202	10	can	can	AUX
ejpam-4922	202	11	be	be	AUX
ejpam-4922	202	12	computed	compute	VERB
ejpam-4922	202	13	using	use	VERB
ejpam-4922	202	14	hv	hv	PROPN
ejpam-4922	202	15	=	=	PROPN
ejpam-4922	202	16	nc∑	nc∑	PROPN
ejpam-4922	202	17	i=1	i=1	PROPN
ejpam-4922	202	18	wv	wv	PROPN
ejpam-4922	202	19	,	,	PUNCT
ejpam-4922	202	20	ihi	ihi	PROPN
ejpam-4922	202	21	(	(	PUNCT
ejpam-4922	202	22	61	61	NUM
ejpam-4922	202	23	)	)	PUNCT
ejpam-4922	202	24	c.	c.	PROPN
ejpam-4922	202	25	j.	j.	PROPN
ejpam-4922	202	26	itoua	itoua	PROPN
ejpam-4922	202	27	-	-	PUNCT
ejpam-4922	202	28	tsele	tsele	NOUN
ejpam-4922	202	29	,	,	PUNCT
ejpam-4922	202	30	a.	a.	PROPN
ejpam-4922	202	31	f.	f.	PROPN
ejpam-4922	202	32	ouassissou	ouassissou	PROPN
ejpam-4922	202	33	/	/	SYM
ejpam-4922	202	34	eur	eur	PROPN
ejpam-4922	202	35	.	.	PUNCT
ejpam-4922	203	1	j.	j.	PROPN
ejpam-4922	203	2	pure	pure	PROPN
ejpam-4922	203	3	appl	appl	PROPN
ejpam-4922	203	4	.	.	PROPN
ejpam-4922	203	5	math	math	PROPN
ejpam-4922	203	6	,	,	PUNCT
ejpam-4922	203	7	16	16	NUM
ejpam-4922	203	8	(	(	PUNCT
ejpam-4922	203	9	4	4	NUM
ejpam-4922	203	10	)	)	PUNCT
ejpam-4922	203	11	(	(	PUNCT
ejpam-4922	203	12	2023	2023	NUM
ejpam-4922	203	13	)	)	PUNCT
ejpam-4922	203	14	,	,	PUNCT
ejpam-4922	203	15	2169	2169	NUM
ejpam-4922	203	16	-	-	SYM
ejpam-4922	203	17	2186	2186	NUM
ejpam-4922	203	18	2184	2184	NUM
ejpam-4922	203	19	we	we	PRON
ejpam-4922	203	20	chose	choose	VERB
ejpam-4922	203	21	the	the	DET
ejpam-4922	203	22	inverse	inverse	NOUN
ejpam-4922	203	23	weighted	weight	VERB
ejpam-4922	203	24	function	function	NOUN
ejpam-4922	203	25	because	because	SCONJ
ejpam-4922	203	26	the	the	DET
ejpam-4922	203	27	cell	cell	NOUN
ejpam-4922	203	28	effect	effect	NOUN
ejpam-4922	203	29	will	will	AUX
ejpam-4922	203	30	decrease	decrease	VERB
ejpam-4922	203	31	as	as	ADP
ejpam-4922	203	32	the	the	DET
ejpam-4922	203	33	distance	distance	NOUN
ejpam-4922	203	34	increases	increase	NOUN
ejpam-4922	203	35	.	.	PUNCT
ejpam-4922	204	1	6.3	6.3	NUM
ejpam-4922	204	2	.	.	PUNCT
ejpam-4922	205	1	discretization	discretization	NOUN
ejpam-4922	205	2	of	of	ADP
ejpam-4922	205	3	source	source	NOUN
ejpam-4922	205	4	term	term	NOUN
ejpam-4922	205	5	in	in	ADP
ejpam-4922	205	6	this	this	DET
ejpam-4922	205	7	study	study	NOUN
ejpam-4922	205	8	,	,	PUNCT
ejpam-4922	205	9	we	we	PRON
ejpam-4922	205	10	consider	consider	VERB
ejpam-4922	205	11	that	that	SCONJ
ejpam-4922	205	12	the	the	DET
ejpam-4922	205	13	sources	source	NOUN
ejpam-4922	205	14	take	take	VERB
ejpam-4922	205	15	the	the	DET
ejpam-4922	205	16	form	form	NOUN
ejpam-4922	205	17	of	of	ADP
ejpam-4922	205	18	point	point	NOUN
ejpam-4922	205	19	sources	source	NOUN
ejpam-4922	205	20	and	and	CCONJ
ejpam-4922	205	21	sinks	sink	NOUN
ejpam-4922	205	22	n	n	DET
ejpam-4922	205	23	i(x	i(x	PROPN
ejpam-4922	205	24	,	,	PUNCT
ejpam-4922	205	25	t	t	PROPN
ejpam-4922	205	26	)	)	PUNCT
ejpam-4922	205	27	which	which	PRON
ejpam-4922	205	28	is	be	AUX
ejpam-4922	205	29	located	locate	VERB
ejpam-4922	205	30	at	at	ADP
ejpam-4922	205	31	points	point	NOUN
ejpam-4922	205	32	xi	xi	X
ejpam-4922	205	33	and	and	CCONJ
ejpam-4922	205	34	at	at	ADP
ejpam-4922	205	35	time	time	NOUN
ejpam-4922	205	36	t	t	PROPN
ejpam-4922	205	37	,	,	PUNCT
ejpam-4922	205	38	we	we	PRON
ejpam-4922	205	39	express	express	VERB
ejpam-4922	205	40	the	the	DET
ejpam-4922	205	41	source	source	NOUN
ejpam-4922	205	42	term	term	NOUN
ejpam-4922	205	43	in	in	ADP
ejpam-4922	205	44	the	the	DET
ejpam-4922	205	45	form	form	NOUN
ejpam-4922	205	46	[	[	X
ejpam-4922	205	47	3	3	NUM
ejpam-4922	205	48	]	]	X
ejpam-4922	205	49	:	:	PUNCT
ejpam-4922	205	50	n	n	CCONJ
ejpam-4922	205	51	=	=	PUNCT
ejpam-4922	205	52	ns∑	ns∑	NOUN
ejpam-4922	205	53	i=1	i=1	PRON
ejpam-4922	206	1	n	n	PROPN
ejpam-4922	206	2	i	i	PRON
ejpam-4922	206	3	(	(	PUNCT
ejpam-4922	206	4	xi	xi	PROPN
ejpam-4922	206	5	,	,	PUNCT
ejpam-4922	206	6	t	t	PROPN
ejpam-4922	206	7	)	)	PUNCT
ejpam-4922	206	8	δ	δ	PROPN
ejpam-4922	206	9	(	(	PUNCT
ejpam-4922	206	10	x−	x−	PROPN
ejpam-4922	206	11	xi	xi	PROPN
ejpam-4922	206	12	)	)	PUNCT
ejpam-4922	206	13	.	.	PUNCT
ejpam-4922	207	1	(	(	PUNCT
ejpam-4922	207	2	62	62	NUM
ejpam-4922	207	3	)	)	PUNCT
ejpam-4922	207	4	where	where	SCONJ
ejpam-4922	207	5	ns	ns	ADJ
ejpam-4922	207	6	is	be	AUX
ejpam-4922	207	7	the	the	DET
ejpam-4922	207	8	number	number	NOUN
ejpam-4922	207	9	of	of	ADP
ejpam-4922	207	10	sources	source	NOUN
ejpam-4922	207	11	and	and	CCONJ
ejpam-4922	207	12	sinks	sink	NOUN
ejpam-4922	207	13	and	and	CCONJ
ejpam-4922	207	14	δ(x−xi	δ(x−xi	PROPN
ejpam-4922	207	15	)	)	PUNCT
ejpam-4922	207	16	denotes	denote	VERB
ejpam-4922	207	17	the	the	DET
ejpam-4922	207	18	dirac	dirac	PROPN
ejpam-4922	207	19	delta	delta	NOUN
ejpam-4922	207	20	-	-	PUNCT
ejpam-4922	207	21	function	function	NOUN
ejpam-4922	207	22	for	for	ADP
ejpam-4922	207	23	two	two	NUM
ejpam-4922	207	24	dimensions	dimension	NOUN
ejpam-4922	207	25	,	,	PUNCT
ejpam-4922	207	26	defined	define	VERB
ejpam-4922	207	27	formally	formally	ADV
ejpam-4922	207	28	by	by	ADP
ejpam-4922	207	29	δ	δ	PROPN
ejpam-4922	207	30	(	(	PUNCT
ejpam-4922	207	31	x−	x−	PROPN
ejpam-4922	207	32	xi	xi	PROPN
ejpam-4922	207	33	)	)	PUNCT
ejpam-4922	208	1	=	=	SYM
ejpam-4922	208	2	lim	lim	PROPN
ejpam-4922	208	3	a→0	a→0	PROPN
ejpam-4922	208	4	{	{	PUNCT
ejpam-4922	208	5	1	1	NUM
ejpam-4922	208	6	/	/	SYM
ejpam-4922	208	7	a2	a2	PROPN
ejpam-4922	208	8	|x−	|x−	PROPN
ejpam-4922	208	9	xi|	xi|	PROPN
ejpam-4922	208	10	<	<	X
ejpam-4922	209	1	a	a	DET
ejpam-4922	209	2	0	0	NUM
ejpam-4922	209	3	elsewhere	elsewhere	ADV
ejpam-4922	209	4	(	(	PUNCT
ejpam-4922	209	5	63	63	NUM
ejpam-4922	209	6	)	)	PUNCT
ejpam-4922	210	1	actually	actually	ADV
ejpam-4922	210	2	,	,	PUNCT
ejpam-4922	210	3	n	n	CCONJ
ejpam-4922	210	4	i	i	PRON
ejpam-4922	210	5	can	can	AUX
ejpam-4922	210	6	represent	represent	VERB
ejpam-4922	210	7	both	both	DET
ejpam-4922	210	8	pumping	pump	VERB
ejpam-4922	210	9	wells	well	NOUN
ejpam-4922	210	10	and	and	CCONJ
ejpam-4922	210	11	recharging	recharge	VERB
ejpam-4922	210	12	(	(	PUNCT
ejpam-4922	210	13	with	with	ADP
ejpam-4922	210	14	n	n	X
ejpam-4922	210	15	i	i	PRON
ejpam-4922	210	16	<	<	X
ejpam-4922	210	17	0	0	PUNCT
ejpam-4922	211	1	and	and	CCONJ
ejpam-4922	211	2	n	n	PRON
ejpam-4922	211	3	i	i	PROPN
ejpam-4922	211	4	>	>	X
ejpam-4922	211	5	0	0	NUM
ejpam-4922	211	6	respectively	respectively	ADV
ejpam-4922	211	7	)	)	PUNCT
ejpam-4922	211	8	.	.	PUNCT
ejpam-4922	212	1	the	the	DET
ejpam-4922	212	2	discretization	discretization	NOUN
ejpam-4922	212	3	for	for	ADP
ejpam-4922	212	4	the	the	DET
ejpam-4922	212	5	source	source	NOUN
ejpam-4922	212	6	term	term	NOUN
ejpam-4922	212	7	is	be	AUX
ejpam-4922	212	8	given	give	VERB
ejpam-4922	212	9	by,∫	by,∫	PROPN
ejpam-4922	212	10	t+∆t	t+∆t	PROPN
ejpam-4922	212	11	t	t	PROPN
ejpam-4922	212	12	∫	∫	PROPN
ejpam-4922	212	13	vo	vo	PROPN
ejpam-4922	212	14	n	n	PROPN
ejpam-4922	212	15	dv	dv	PROPN
ejpam-4922	212	16	dt	dt	PROPN
ejpam-4922	213	1	=	=	SYM
ejpam-4922	213	2	∫	∫	PROPN
ejpam-4922	213	3	t+∆t	t+∆t	PROPN
ejpam-4922	213	4	t	t	PROPN
ejpam-4922	213	5	∫	∫	PROPN
ejpam-4922	213	6	vo	vo	INTJ
ejpam-4922	213	7	ns∑	ns∑	PROPN
ejpam-4922	213	8	i=1	i=1	PROPN
ejpam-4922	214	1	n	n	PROPN
ejpam-4922	214	2	i	i	PRON
ejpam-4922	214	3	(	(	PUNCT
ejpam-4922	214	4	xi	xi	PROPN
ejpam-4922	214	5	,	,	PUNCT
ejpam-4922	214	6	t	t	PROPN
ejpam-4922	214	7	)	)	PUNCT
ejpam-4922	214	8	δ	δ	PROPN
ejpam-4922	214	9	(	(	PUNCT
ejpam-4922	214	10	x−	x−	PROPN
ejpam-4922	214	11	xi	xi	PROPN
ejpam-4922	214	12	)	)	PUNCT
ejpam-4922	215	1	dv	dv	PROPN
ejpam-4922	215	2	dt	dt	X
ejpam-4922	216	1	=	=	PUNCT
ejpam-4922	216	2	ns∑	ns∑	NOUN
ejpam-4922	216	3	i=1	i=1	PRON
ejpam-4922	217	1	n	n	PROPN
ejpam-4922	217	2	i	i	PRON
ejpam-4922	217	3	(	(	PUNCT
ejpam-4922	217	4	xi	xi	PROPN
ejpam-4922	217	5	,	,	PUNCT
ejpam-4922	217	6	t)o	t)o	PUNCT
ejpam-4922	218	1	δ	δ	PROPN
ejpam-4922	218	2	(	(	PUNCT
ejpam-4922	218	3	xo	xo	PROPN
ejpam-4922	218	4	−	−	PROPN
ejpam-4922	219	1	xi)vo∆t	xi)vo∆t	ADV
ejpam-4922	219	2	(	(	PUNCT
ejpam-4922	219	3	64	64	NUM
ejpam-4922	219	4	)	)	PUNCT
ejpam-4922	219	5	where	where	SCONJ
ejpam-4922	219	6	the	the	DET
ejpam-4922	219	7	subscript	subscript	NOUN
ejpam-4922	219	8	o	o	NOUN
ejpam-4922	219	9	indicates	indicate	VERB
ejpam-4922	219	10	the	the	DET
ejpam-4922	219	11	cell	cell	NOUN
ejpam-4922	219	12	center	center	NOUN
ejpam-4922	219	13	of	of	ADP
ejpam-4922	219	14	the	the	DET
ejpam-4922	219	15	control	control	NOUN
ejpam-4922	219	16	volume	volume	NOUN
ejpam-4922	219	17	o.	o.	NOUN
ejpam-4922	219	18	6.4	6.4	NUM
ejpam-4922	219	19	.	.	PUNCT
ejpam-4922	220	1	numerical	numerical	ADJ
ejpam-4922	220	2	schemes	scheme	NOUN
ejpam-4922	220	3	in	in	ADP
ejpam-4922	220	4	this	this	DET
ejpam-4922	220	5	study	study	NOUN
ejpam-4922	220	6	,	,	PUNCT
ejpam-4922	220	7	for	for	ADP
ejpam-4922	220	8	stability	stability	NOUN
ejpam-4922	220	9	reasons	reason	NOUN
ejpam-4922	220	10	,	,	PUNCT
ejpam-4922	220	11	we	we	PRON
ejpam-4922	220	12	use	use	VERB
ejpam-4922	220	13	the	the	DET
ejpam-4922	220	14	implicit	implicit	ADJ
ejpam-4922	220	15	approach	approach	NOUN
ejpam-4922	220	16	.	.	PUNCT
ejpam-4922	221	1	combining	combine	VERB
ejpam-4922	221	2	equations	equation	NOUN
ejpam-4922	221	3	(	(	PUNCT
ejpam-4922	221	4	57	57	NUM
ejpam-4922	221	5	)	)	PUNCT
ejpam-4922	221	6	,	,	PUNCT
ejpam-4922	221	7	(	(	PUNCT
ejpam-4922	221	8	58	58	NUM
ejpam-4922	221	9	)	)	PUNCT
ejpam-4922	221	10	and	and	CCONJ
ejpam-4922	221	11	(	(	PUNCT
ejpam-4922	221	12	64	64	NUM
ejpam-4922	221	13	)	)	PUNCT
ejpam-4922	221	14	,	,	PUNCT
ejpam-4922	221	15	the	the	DET
ejpam-4922	221	16	complete	complete	ADJ
ejpam-4922	221	17	discretization	discretization	NOUN
ejpam-4922	221	18	for	for	ADP
ejpam-4922	221	19	equation	equation	NOUN
ejpam-4922	221	20	(	(	PUNCT
ejpam-4922	221	21	50	50	NUM
ejpam-4922	221	22	)	)	PUNCT
ejpam-4922	221	23	can	can	AUX
ejpam-4922	221	24	now	now	ADV
ejpam-4922	221	25	be	be	AUX
ejpam-4922	221	26	written	write	VERB
ejpam-4922	221	27	for	for	ADP
ejpam-4922	221	28	each	each	DET
ejpam-4922	221	29	vo	vo	NOUN
ejpam-4922	221	30	as	as	ADP
ejpam-4922	221	31	sovo(ho	sovo(ho	PROPN
ejpam-4922	221	32	−	−	PROPN
ejpam-4922	221	33	holdo	holdo	NOUN
ejpam-4922	221	34	)	)	PUNCT
ejpam-4922	222	1	=	=	SYM
ejpam-4922	222	2	nf	nf	PROPN
ejpam-4922	222	3	,	,	PUNCT
ejpam-4922	222	4	o∑	o∑	VERB
ejpam-4922	222	5	f=1	f=1	ADV
ejpam-4922	223	1	tf	tf	INTJ
ejpam-4922	224	1	(	(	PUNCT
ejpam-4922	224	2	hn	hn	PROPN
ejpam-4922	224	3	−	−	PROPN
ejpam-4922	224	4	ho	ho	PROPN
ejpam-4922	224	5	δf	δf	INTJ
ejpam-4922	224	6	−	−	PROPN
ejpam-4922	225	1	[	[	PUNCT
ejpam-4922	225	2	(	(	PUNCT
ejpam-4922	225	3	∇h)f	∇h)f	NOUN
ejpam-4922	225	4	·	·	PUNCT
ejpam-4922	225	5	t̂f	t̂f	X
ejpam-4922	225	6	]	]	PUNCT
ejpam-4922	225	7	δf	δf	X
ejpam-4922	225	8	t̂f	t̂f	PROPN
ejpam-4922	225	9	·	·	PUNCT
ejpam-4922	225	10	1f	1f	NUM
ejpam-4922	225	11	)	)	PUNCT
ejpam-4922	226	1	af∆t	af∆t	PROPN
ejpam-4922	227	1	+	+	CCONJ
ejpam-4922	227	2	ns∑	ns∑	VERB
ejpam-4922	227	3	i=1	i=1	PRON
ejpam-4922	228	1	n	n	PROPN
ejpam-4922	228	2	i	i	PRON
ejpam-4922	228	3	(	(	PUNCT
ejpam-4922	228	4	xi	xi	PROPN
ejpam-4922	228	5	,	,	PUNCT
ejpam-4922	228	6	t)o	t)o	PUNCT
ejpam-4922	229	1	δ	δ	PROPN
ejpam-4922	229	2	(	(	PUNCT
ejpam-4922	229	3	xo	xo	PROPN
ejpam-4922	229	4	−	−	PROPN
ejpam-4922	230	1	xi)vo∆t	xi)vo∆t	ADV
ejpam-4922	230	2	(	(	PUNCT
ejpam-4922	230	3	65	65	NUM
ejpam-4922	230	4	)	)	PUNCT
ejpam-4922	230	5	finally	finally	ADV
ejpam-4922	230	6	,	,	PUNCT
ejpam-4922	230	7	equation	equation	NOUN
ejpam-4922	230	8	(	(	PUNCT
ejpam-4922	230	9	65	65	NUM
ejpam-4922	230	10	)	)	PUNCT
ejpam-4922	230	11	is	be	AUX
ejpam-4922	230	12	assembled	assemble	VERB
ejpam-4922	230	13	in	in	ADP
ejpam-4922	230	14	matrix	matrix	NOUN
ejpam-4922	230	15	form	form	NOUN
ejpam-4922	230	16	in	in	ADP
ejpam-4922	230	17	order	order	NOUN
ejpam-4922	230	18	to	to	PART
ejpam-4922	230	19	obtain	obtain	VERB
ejpam-4922	230	20	the	the	DET
ejpam-4922	230	21	discrete	discrete	ADJ
ejpam-4922	230	22	equations	equation	NOUN
ejpam-4922	230	23	between	between	ADP
ejpam-4922	230	24	each	each	DET
ejpam-4922	230	25	control	control	NOUN
ejpam-4922	230	26	volume	volume	NOUN
ejpam-4922	230	27	vo	vo	NOUN
ejpam-4922	230	28	value	value	NOUN
ejpam-4922	230	29	and	and	CCONJ
ejpam-4922	230	30	its	its	PRON
ejpam-4922	230	31	neighboring	neighboring	NOUN
ejpam-4922	230	32	values	value	NOUN
ejpam-4922	230	33	as	as	SCONJ
ejpam-4922	230	34	follows	follow	VERB
ejpam-4922	230	35	:	:	PUNCT
ejpam-4922	230	36	aoho	aoho	X
ejpam-4922	230	37	=	=	SYM
ejpam-4922	230	38	nf	nf	PROPN
ejpam-4922	230	39	,	,	PUNCT
ejpam-4922	230	40	n∑	n∑	PROPN
ejpam-4922	230	41	f=1	f=1	X
ejpam-4922	230	42	af	af	PROPN
ejpam-4922	230	43	,	,	PUNCT
ejpam-4922	230	44	nhf(n	nhf(n	PROPN
ejpam-4922	230	45	)	)	PUNCT
ejpam-4922	231	1	+	+	CCONJ
ejpam-4922	231	2	bn	bn	X
ejpam-4922	231	3	(	(	PUNCT
ejpam-4922	231	4	66	66	NUM
ejpam-4922	231	5	)	)	PUNCT
ejpam-4922	231	6	c.	c.	PROPN
ejpam-4922	231	7	j.	j.	PROPN
ejpam-4922	231	8	itoua	itoua	PROPN
ejpam-4922	231	9	-	-	PUNCT
ejpam-4922	231	10	tsele	tsele	NOUN
ejpam-4922	231	11	,	,	PUNCT
ejpam-4922	231	12	a.	a.	PROPN
ejpam-4922	231	13	f.	f.	PROPN
ejpam-4922	231	14	ouassissou	ouassissou	PROPN
ejpam-4922	231	15	/	/	SYM
ejpam-4922	231	16	eur	eur	PROPN
ejpam-4922	231	17	.	.	PUNCT
ejpam-4922	232	1	j.	j.	PROPN
ejpam-4922	232	2	pure	pure	PROPN
ejpam-4922	232	3	appl	appl	PROPN
ejpam-4922	232	4	.	.	PROPN
ejpam-4922	232	5	math	math	PROPN
ejpam-4922	232	6	,	,	PUNCT
ejpam-4922	232	7	16	16	NUM
ejpam-4922	232	8	(	(	PUNCT
ejpam-4922	232	9	4	4	NUM
ejpam-4922	232	10	)	)	PUNCT
ejpam-4922	232	11	(	(	PUNCT
ejpam-4922	232	12	2023	2023	NUM
ejpam-4922	232	13	)	)	PUNCT
ejpam-4922	232	14	,	,	PUNCT
ejpam-4922	232	15	2169	2169	NUM
ejpam-4922	232	16	-	-	SYM
ejpam-4922	232	17	2186	2186	NUM
ejpam-4922	232	18	2185	2185	NUM
ejpam-4922	232	19	where	where	SCONJ
ejpam-4922	232	20	the	the	DET
ejpam-4922	232	21	coefficients	coefficient	NOUN
ejpam-4922	232	22	are	be	AUX
ejpam-4922	232	23	given	give	VERB
ejpam-4922	232	24	by	by	ADP
ejpam-4922	232	25	ao	ao	PROPN
ejpam-4922	232	26	=	=	SYM
ejpam-4922	232	27	sovo	sovo	PROPN
ejpam-4922	232	28	+	+	CCONJ
ejpam-4922	232	29	nf	nf	ADJ
ejpam-4922	232	30	,	,	PUNCT
ejpam-4922	232	31	o∑	o∑	VERB
ejpam-4922	232	32	f=1	f=1	PROPN
ejpam-4922	233	1	tf	tf	INTJ
ejpam-4922	233	2	ho	ho	PROPN
ejpam-4922	233	3	δf	δf	PROPN
ejpam-4922	233	4	af∆t	af∆t	PROPN
ejpam-4922	233	5	,	,	PUNCT
ejpam-4922	233	6	(	(	PUNCT
ejpam-4922	233	7	67	67	NUM
ejpam-4922	233	8	)	)	PUNCT
ejpam-4922	233	9	af	af	PROPN
ejpam-4922	233	10	,	,	PUNCT
ejpam-4922	233	11	n	n	NOUN
ejpam-4922	233	12	=	=	SYM
ejpam-4922	233	13	tf	tf	X
ejpam-4922	233	14	δf	δf	X
ejpam-4922	233	15	af∆t	af∆t	PROPN
ejpam-4922	233	16	,	,	PUNCT
ejpam-4922	233	17	(	(	PUNCT
ejpam-4922	233	18	68	68	NUM
ejpam-4922	233	19	)	)	PUNCT
ejpam-4922	233	20	bn	bn	NOUN
ejpam-4922	233	21	=	=	PUNCT
ejpam-4922	233	22	ns∑	ns∑	NOUN
ejpam-4922	233	23	i=1	i=1	PRON
ejpam-4922	233	24	n	n	PROPN
ejpam-4922	233	25	i	i	PRON
ejpam-4922	233	26	(	(	PUNCT
ejpam-4922	233	27	xi	xi	PROPN
ejpam-4922	233	28	,	,	PUNCT
ejpam-4922	233	29	t)o	t)o	PUNCT
ejpam-4922	233	30	δ	δ	PROPN
ejpam-4922	233	31	(	(	PUNCT
ejpam-4922	233	32	xo	xo	PROPN
ejpam-4922	233	33	−	−	PROPN
ejpam-4922	233	34	xi)vo∆t−	xi)vo∆t−	PROPN
ejpam-4922	233	35	nf	nf	PROPN
ejpam-4922	233	36	,	,	PUNCT
ejpam-4922	233	37	o∑	o∑	VERB
ejpam-4922	233	38	f=1	f=1	ADV
ejpam-4922	234	1	tf	tf	INTJ
ejpam-4922	235	1	[	[	PUNCT
ejpam-4922	235	2	(	(	PUNCT
ejpam-4922	235	3	∇h)f	∇h)f	NOUN
ejpam-4922	235	4	·	·	PUNCT
ejpam-4922	235	5	t̂f	t̂f	X
ejpam-4922	235	6	]	]	PUNCT
ejpam-4922	235	7	δf	δf	X
ejpam-4922	235	8	t̂f	t̂f	ADJ
ejpam-4922	235	9	·	·	SYM
ejpam-4922	235	10	1faf∆t+sovoh	1faf∆t+sovoh	ADJ
ejpam-4922	235	11	old	old	ADJ
ejpam-4922	235	12	o	o	NOUN
ejpam-4922	235	13	.	.	PUNCT
ejpam-4922	236	1	(	(	PUNCT
ejpam-4922	236	2	69	69	NUM
ejpam-4922	236	3	)	)	PUNCT
ejpam-4922	236	4	7	7	NUM
ejpam-4922	236	5	.	.	X
ejpam-4922	236	6	conclusion	conclusion	VERB
ejpam-4922	236	7	the	the	DET
ejpam-4922	236	8	main	main	ADJ
ejpam-4922	236	9	objective	objective	NOUN
ejpam-4922	236	10	of	of	ADP
ejpam-4922	236	11	this	this	DET
ejpam-4922	236	12	study	study	NOUN
ejpam-4922	236	13	was	be	AUX
ejpam-4922	236	14	to	to	PART
ejpam-4922	236	15	develop	develop	VERB
ejpam-4922	236	16	the	the	DET
ejpam-4922	236	17	vertically	vertically	ADV
ejpam-4922	236	18	integrated	integrate	VERB
ejpam-4922	236	19	groundwater	groundwater	NOUN
ejpam-4922	236	20	flow	flow	NOUN
ejpam-4922	236	21	equation	equation	NOUN
ejpam-4922	236	22	,	,	PUNCT
ejpam-4922	236	23	under	under	ADP
ejpam-4922	236	24	dupuit	dupuit	NOUN
ejpam-4922	236	25	’s	’s	PART
ejpam-4922	236	26	assumption	assumption	NOUN
ejpam-4922	237	1	,	,	PUNCT
ejpam-4922	237	2	the	the	DET
ejpam-4922	237	3	diffusivity	diffusivity	NOUN
ejpam-4922	237	4	equation	equation	NOUN
ejpam-4922	237	5	was	be	AUX
ejpam-4922	237	6	then	then	ADV
ejpam-4922	237	7	derived	derive	VERB
ejpam-4922	237	8	,	,	PUNCT
ejpam-4922	237	9	the	the	DET
ejpam-4922	237	10	study	study	NOUN
ejpam-4922	237	11	area	area	NOUN
ejpam-4922	237	12	is	be	AUX
ejpam-4922	237	13	often	often	ADV
ejpam-4922	237	14	complex	complex	ADJ
ejpam-4922	237	15	,	,	PUNCT
ejpam-4922	237	16	and	and	CCONJ
ejpam-4922	237	17	it	it	PRON
ejpam-4922	237	18	required	require	VERB
ejpam-4922	237	19	the	the	DET
ejpam-4922	237	20	relevant	relevant	ADJ
ejpam-4922	237	21	numerical	numerical	ADJ
ejpam-4922	237	22	method	method	NOUN
ejpam-4922	237	23	,	,	PUNCT
ejpam-4922	237	24	finite	finite	ADJ
ejpam-4922	237	25	volume	volume	NOUN
ejpam-4922	237	26	method	method	NOUN
ejpam-4922	237	27	has	have	VERB
ejpam-4922	237	28	the	the	DET
ejpam-4922	237	29	advantage	advantage	NOUN
ejpam-4922	237	30	of	of	ADP
ejpam-4922	237	31	working	work	VERB
ejpam-4922	237	32	on	on	ADP
ejpam-4922	237	33	complex	complex	ADJ
ejpam-4922	237	34	geometric	geometric	ADJ
ejpam-4922	238	1	and	and	CCONJ
ejpam-4922	238	2	it	it	PRON
ejpam-4922	238	3	is	be	AUX
ejpam-4922	238	4	also	also	ADV
ejpam-4922	238	5	stable	stable	ADJ
ejpam-4922	238	6	,	,	PUNCT
ejpam-4922	238	7	the	the	DET
ejpam-4922	238	8	implicit	implicit	ADJ
ejpam-4922	238	9	fvm	fvm	ADJ
ejpam-4922	238	10	schemes	scheme	NOUN
ejpam-4922	238	11	were	be	AUX
ejpam-4922	238	12	developed	develop	VERB
ejpam-4922	238	13	for	for	ADP
ejpam-4922	238	14	2d	2d	NOUN
ejpam-4922	238	15	.	.	PUNCT
ejpam-4922	239	1	the	the	DET
ejpam-4922	239	2	obtained	obtain	VERB
ejpam-4922	239	3	numerical	numerical	ADJ
ejpam-4922	239	4	scheme	scheme	NOUN
ejpam-4922	239	5	will	will	AUX
ejpam-4922	239	6	be	be	AUX
ejpam-4922	239	7	used	use	VERB
ejpam-4922	239	8	to	to	PART
ejpam-4922	239	9	evaluate	evaluate	VERB
ejpam-4922	239	10	the	the	DET
ejpam-4922	239	11	distribution	distribution	NOUN
ejpam-4922	239	12	of	of	ADP
ejpam-4922	239	13	the	the	DET
ejpam-4922	239	14	hydraulic	hydraulic	ADJ
ejpam-4922	239	15	head	head	NOUN
ejpam-4922	239	16	in	in	ADP
ejpam-4922	239	17	the	the	DET
ejpam-4922	239	18	study	study	NOUN
ejpam-4922	239	19	area	area	NOUN
ejpam-4922	239	20	and	and	CCONJ
ejpam-4922	239	21	investigate	investigate	VERB
ejpam-4922	239	22	the	the	DET
ejpam-4922	239	23	fluctuation	fluctuation	NOUN
ejpam-4922	239	24	of	of	ADP
ejpam-4922	239	25	groundwater	groundwater	NOUN
ejpam-4922	239	26	level	level	NOUN
ejpam-4922	239	27	,	,	PUNCT
ejpam-4922	239	28	from	from	ADP
ejpam-4922	239	29	which	which	PRON
ejpam-4922	239	30	the	the	DET
ejpam-4922	239	31	drawdown	drawdown	NOUN
ejpam-4922	239	32	phenomenon	phenomenon	NOUN
ejpam-4922	239	33	can	can	AUX
ejpam-4922	239	34	be	be	AUX
ejpam-4922	239	35	observed	observe	VERB
ejpam-4922	239	36	.	.	PUNCT
ejpam-4922	240	1	8	8	X
ejpam-4922	240	2	.	.	PUNCT
ejpam-4922	240	3	recommendations	recommendation	NOUN
ejpam-4922	240	4	for	for	ADP
ejpam-4922	240	5	further	further	ADJ
ejpam-4922	240	6	research	research	NOUN
ejpam-4922	240	7	based	base	VERB
ejpam-4922	240	8	on	on	ADP
ejpam-4922	240	9	the	the	DET
ejpam-4922	240	10	findings	finding	NOUN
ejpam-4922	240	11	of	of	ADP
ejpam-4922	240	12	this	this	DET
ejpam-4922	240	13	study	study	NOUN
ejpam-4922	240	14	,	,	PUNCT
ejpam-4922	240	15	the	the	DET
ejpam-4922	240	16	researcher	researcher	NOUN
ejpam-4922	240	17	found	find	VERB
ejpam-4922	240	18	that	that	SCONJ
ejpam-4922	240	19	there	there	PRON
ejpam-4922	240	20	are	be	VERB
ejpam-4922	240	21	still	still	ADV
ejpam-4922	240	22	some	some	DET
ejpam-4922	240	23	areas	area	NOUN
ejpam-4922	240	24	of	of	ADP
ejpam-4922	240	25	mutual	mutual	ADJ
ejpam-4922	240	26	interest	interest	NOUN
ejpam-4922	240	27	.	.	PUNCT
ejpam-4922	241	1	the	the	DET
ejpam-4922	241	2	researcher	researcher	NOUN
ejpam-4922	241	3	now	now	ADV
ejpam-4922	241	4	suggests	suggest	VERB
ejpam-4922	241	5	the	the	DET
ejpam-4922	241	6	following	follow	VERB
ejpam-4922	241	7	recommendations	recommendation	NOUN
ejpam-4922	241	8	for	for	ADP
ejpam-4922	241	9	future	future	ADJ
ejpam-4922	241	10	studies	study	NOUN
ejpam-4922	241	11	as	as	ADP
ejpam-4922	241	12	a	a	DET
ejpam-4922	241	13	result	result	NOUN
ejpam-4922	241	14	of	of	ADP
ejpam-4922	241	15	this	this	DET
ejpam-4922	241	16	work	work	NOUN
ejpam-4922	241	17	.	.	PUNCT
ejpam-4922	242	1	•	•	NOUN
ejpam-4922	242	2	unsteady	unsteady	ADJ
ejpam-4922	242	3	state	state	NOUN
ejpam-4922	242	4	solution	solution	NOUN
ejpam-4922	242	5	of	of	ADP
ejpam-4922	242	6	the	the	DET
ejpam-4922	242	7	confined	confine	VERB
ejpam-4922	242	8	anisotropic	anisotropic	NOUN
ejpam-4922	242	9	and	and	CCONJ
ejpam-4922	242	10	heterogeneous	heterogeneous	ADJ
ejpam-4922	242	11	aquifers	aquifer	NOUN
ejpam-4922	242	12	to	to	ADP
ejpam-4922	242	13	two	two	NUM
ejpam-4922	242	14	-	-	PUNCT
ejpam-4922	242	15	dimensional	dimensional	ADJ
ejpam-4922	242	16	flow	flow	NOUN
ejpam-4922	242	17	•	•	NOUN
ejpam-4922	242	18	validate	validate	VERB
ejpam-4922	242	19	the	the	DET
ejpam-4922	242	20	developed	develop	VERB
ejpam-4922	242	21	models	model	NOUN
ejpam-4922	242	22	by	by	ADP
ejpam-4922	242	23	comparing	compare	VERB
ejpam-4922	242	24	them	they	PRON
ejpam-4922	242	25	with	with	ADP
ejpam-4922	242	26	other	other	ADJ
ejpam-4922	242	27	methods	method	NOUN
ejpam-4922	242	28	conflict	conflict	NOUN
ejpam-4922	242	29	of	of	ADP
ejpam-4922	242	30	interest	interest	NOUN
ejpam-4922	242	31	the	the	DET
ejpam-4922	242	32	authors	author	NOUN
ejpam-4922	242	33	of	of	ADP
ejpam-4922	242	34	this	this	DET
ejpam-4922	242	35	article	article	NOUN
ejpam-4922	242	36	acknowledges	acknowledge	VERB
ejpam-4922	242	37	its	its	PRON
ejpam-4922	242	38	an	an	DET
ejpam-4922	242	39	original	original	ADJ
ejpam-4922	242	40	work	work	NOUN
ejpam-4922	242	41	from	from	ADP
ejpam-4922	242	42	their	their	PRON
ejpam-4922	242	43	investigation	investigation	NOUN
ejpam-4922	242	44	and	and	CCONJ
ejpam-4922	242	45	therefore	therefore	ADV
ejpam-4922	242	46	there	there	PRON
ejpam-4922	242	47	is	be	VERB
ejpam-4922	242	48	no	no	DET
ejpam-4922	242	49	conflicts	conflict	NOUN
ejpam-4922	242	50	of	of	ADP
ejpam-4922	242	51	interest	interest	NOUN
ejpam-4922	242	52	whosoever	whosoever	NOUN
ejpam-4922	242	53	as	as	SCONJ
ejpam-4922	242	54	regards	regard	VERB
ejpam-4922	242	55	its	its	PRON
ejpam-4922	242	56	publication	publication	NOUN
ejpam-4922	242	57	.	.	PUNCT
ejpam-4922	243	1	acknowledgements	acknowledgement	NOUN
ejpam-4922	243	2	the	the	DET
ejpam-4922	243	3	authors	author	NOUN
ejpam-4922	243	4	wish	wish	VERB
ejpam-4922	243	5	to	to	PART
ejpam-4922	243	6	express	express	VERB
ejpam-4922	243	7	their	their	PRON
ejpam-4922	243	8	gratitude	gratitude	NOUN
ejpam-4922	243	9	to	to	PART
ejpam-4922	243	10	prof	prof	VERB
ejpam-4922	243	11	.	.	PUNCT
ejpam-4922	244	1	christian	christian	PROPN
ejpam-4922	244	2	tathy	tathy	ADJ
ejpam-4922	244	3	and	and	CCONJ
ejpam-4922	244	4	prof	prof	PROPN
ejpam-4922	244	5	.	.	PUNCT
ejpam-4922	245	1	david	david	PROPN
ejpam-4922	245	2	mumo	mumo	PROPN
ejpam-4922	245	3	malonza	malonza	PROPN
ejpam-4922	245	4	for	for	ADP
ejpam-4922	245	5	their	their	PRON
ejpam-4922	245	6	contributions	contribution	NOUN
ejpam-4922	245	7	to	to	ADP
ejpam-4922	245	8	this	this	DET
ejpam-4922	245	9	study	study	NOUN
ejpam-4922	245	10	who	who	PRON
ejpam-4922	245	11	so	so	ADV
ejpam-4922	245	12	kindly	kindly	ADV
ejpam-4922	245	13	donated	donate	VERB
ejpam-4922	245	14	their	their	PRON
ejpam-4922	245	15	time	time	NOUN
ejpam-4922	245	16	and	and	CCONJ
ejpam-4922	245	17	insights	insight	NOUN
ejpam-4922	245	18	.	.	PUNCT
ejpam-4922	246	1	references	reference	NOUN
ejpam-4922	246	2	2186	2186	NUM
ejpam-4922	246	3	references	reference	NOUN
ejpam-4922	246	4	[	[	X
ejpam-4922	246	5	1	1	NUM
ejpam-4922	246	6	]	]	X
ejpam-4922	246	7	mary	mary	PROPN
ejpam-4922	246	8	p	p	PROPN
ejpam-4922	246	9	anderson	anderson	PROPN
ejpam-4922	246	10	,	,	PUNCT
ejpam-4922	246	11	william	william	PROPN
ejpam-4922	246	12	w	w	PROPN
ejpam-4922	246	13	woessner	woessner	NOUN
ejpam-4922	246	14	,	,	PUNCT
ejpam-4922	246	15	and	and	CCONJ
ejpam-4922	246	16	randall	randall	PROPN
ejpam-4922	246	17	j	j	PROPN
ejpam-4922	246	18	hunt	hunt	PROPN
ejpam-4922	246	19	.	.	PUNCT
ejpam-4922	247	1	applied	apply	VERB
ejpam-4922	247	2	groundwater	groundwater	NOUN
ejpam-4922	247	3	modeling	modeling	NOUN
ejpam-4922	247	4	:	:	PUNCT
ejpam-4922	247	5	simulation	simulation	NOUN
ejpam-4922	247	6	of	of	ADP
ejpam-4922	247	7	flow	flow	NOUN
ejpam-4922	247	8	and	and	CCONJ
ejpam-4922	247	9	advective	advective	ADJ
ejpam-4922	247	10	transport	transport	NOUN
ejpam-4922	247	11	.	.	PUNCT
ejpam-4922	248	1	academic	academic	ADJ
ejpam-4922	248	2	press	press	NOUN
ejpam-4922	248	3	,	,	PUNCT
ejpam-4922	248	4	2015	2015	NUM
ejpam-4922	248	5	.	.	PUNCT
ejpam-4922	249	1	[	[	X
ejpam-4922	249	2	2	2	NUM
ejpam-4922	249	3	]	]	X
ejpam-4922	249	4	jacob	jacob	PROPN
ejpam-4922	249	5	bear	bear	PROPN
ejpam-4922	249	6	.	.	PUNCT
ejpam-4922	250	1	hydraulics	hydraulic	NOUN
ejpam-4922	250	2	of	of	ADP
ejpam-4922	250	3	groundwater	groundwater	NOUN
ejpam-4922	250	4	.	.	PUNCT
ejpam-4922	251	1	courier	courier	NOUN
ejpam-4922	251	2	corporation	corporation	NOUN
ejpam-4922	251	3	,	,	PUNCT
ejpam-4922	251	4	2012	2012	NUM
ejpam-4922	251	5	.	.	PUNCT
ejpam-4922	252	1	[	[	X
ejpam-4922	252	2	3	3	X
ejpam-4922	252	3	]	]	X
ejpam-4922	252	4	jacob	jacob	PROPN
ejpam-4922	252	5	bear	bear	PROPN
ejpam-4922	252	6	and	and	CCONJ
ejpam-4922	252	7	alexander	alexander	PROPN
ejpam-4922	252	8	h	h	PROPN
ejpam-4922	252	9	-	-	PUNCT
ejpam-4922	252	10	d	d	PROPN
ejpam-4922	252	11	cheng	cheng	PROPN
ejpam-4922	252	12	.	.	PUNCT
ejpam-4922	253	1	modeling	model	VERB
ejpam-4922	253	2	groundwater	groundwater	NOUN
ejpam-4922	253	3	flow	flow	NOUN
ejpam-4922	253	4	and	and	CCONJ
ejpam-4922	253	5	contaminant	contaminant	NOUN
ejpam-4922	253	6	transport	transport	NOUN
ejpam-4922	253	7	,	,	PUNCT
ejpam-4922	253	8	volume	volume	NOUN
ejpam-4922	253	9	23	23	NUM
ejpam-4922	253	10	.	.	PUNCT
ejpam-4922	254	1	springer	springer	NOUN
ejpam-4922	254	2	,	,	PUNCT
ejpam-4922	254	3	2010	2010	NUM
ejpam-4922	254	4	.	.	PUNCT
ejpam-4922	255	1	[	[	X
ejpam-4922	255	2	4	4	NUM
ejpam-4922	255	3	]	]	X
ejpam-4922	255	4	prosun	prosun	NOUN
ejpam-4922	255	5	bhattacharya	bhattacharya	PROPN
ejpam-4922	255	6	,	,	PUNCT
ejpam-4922	255	7	al	al	PROPN
ejpam-4922	255	8	ramanathan	ramanathan	PROPN
ejpam-4922	255	9	,	,	PUNCT
ejpam-4922	255	10	arun	arun	PROPN
ejpam-4922	255	11	b	b	PROPN
ejpam-4922	255	12	mukherjee	mukherjee	PROPN
ejpam-4922	255	13	,	,	PUNCT
ejpam-4922	255	14	jochen	jochen	PROPN
ejpam-4922	255	15	bundschuh	bundschuh	PROPN
ejpam-4922	255	16	,	,	PUNCT
ejpam-4922	255	17	d	d	PROPN
ejpam-4922	255	18	chandrasekharam	chandrasekharam	NOUN
ejpam-4922	255	19	,	,	PUNCT
ejpam-4922	255	20	and	and	CCONJ
ejpam-4922	255	21	ak	ak	PROPN
ejpam-4922	255	22	keshari	keshari	PROPN
ejpam-4922	255	23	.	.	PUNCT
ejpam-4922	256	1	groundwater	groundwater	NOUN
ejpam-4922	256	2	for	for	ADP
ejpam-4922	256	3	sustainable	sustainable	ADJ
ejpam-4922	256	4	development	development	NOUN
ejpam-4922	256	5	:	:	PUNCT
ejpam-4922	256	6	problems	problem	NOUN
ejpam-4922	256	7	,	,	PUNCT
ejpam-4922	256	8	perspectives	perspective	NOUN
ejpam-4922	256	9	and	and	CCONJ
ejpam-4922	256	10	challenges	challenge	NOUN
ejpam-4922	256	11	.	.	PUNCT
ejpam-4922	257	1	2008	2008	NUM
ejpam-4922	257	2	.	.	PUNCT
ejpam-4922	258	1	[	[	X
ejpam-4922	258	2	5	5	X
ejpam-4922	258	3	]	]	PUNCT
ejpam-4922	258	4	huseyin	huseyin	PROPN
ejpam-4922	258	5	y	y	PROPN
ejpam-4922	258	6	dalkilic	dalkilic	PROPN
ejpam-4922	258	7	and	and	CCONJ
ejpam-4922	258	8	amin	amin	PROPN
ejpam-4922	258	9	gharehbaghi	gharehbaghi	PROPN
ejpam-4922	258	10	.	.	PUNCT
ejpam-4922	259	1	numerical	numerical	ADJ
ejpam-4922	259	2	modeling	modeling	NOUN
ejpam-4922	259	3	of	of	ADP
ejpam-4922	259	4	groundwater	groundwater	NOUN
ejpam-4922	259	5	flow	flow	NOUN
ejpam-4922	259	6	based	base	VERB
ejpam-4922	259	7	on	on	ADP
ejpam-4922	259	8	explicit	explicit	ADJ
ejpam-4922	259	9	and	and	CCONJ
ejpam-4922	259	10	fully	fully	ADV
ejpam-4922	259	11	implicit	implicit	ADJ
ejpam-4922	259	12	schemes	scheme	NOUN
ejpam-4922	259	13	of	of	ADP
ejpam-4922	259	14	finite	finite	ADJ
ejpam-4922	259	15	volume	volume	NOUN
ejpam-4922	259	16	method	method	NOUN
ejpam-4922	259	17	.	.	PUNCT
ejpam-4922	259	18	2021	2021	NUM
ejpam-4922	259	19	.	.	PUNCT
ejpam-4922	260	1	[	[	X
ejpam-4922	260	2	6	6	NUM
ejpam-4922	260	3	]	]	X
ejpam-4922	260	4	robert	robert	PROPN
ejpam-4922	260	5	eymard	eymard	PROPN
ejpam-4922	260	6	,	,	PUNCT
ejpam-4922	260	7	thierry	thierry	NOUN
ejpam-4922	260	8	gallouët	gallouët	PROPN
ejpam-4922	260	9	,	,	PUNCT
ejpam-4922	260	10	and	and	CCONJ
ejpam-4922	260	11	raphaèle	raphaèle	PROPN
ejpam-4922	260	12	herbin	herbin	NOUN
ejpam-4922	260	13	.	.	PUNCT
ejpam-4922	261	1	finite	finite	PROPN
ejpam-4922	261	2	volume	volume	NOUN
ejpam-4922	261	3	methods	method	NOUN
ejpam-4922	261	4	.	.	PUNCT
ejpam-4922	262	1	handbook	handbook	NOUN
ejpam-4922	262	2	of	of	ADP
ejpam-4922	262	3	numerical	numerical	ADJ
ejpam-4922	262	4	analysis	analysis	NOUN
ejpam-4922	262	5	,	,	PUNCT
ejpam-4922	262	6	7:713–1018	7:713–1018	NOUN
ejpam-4922	262	7	,	,	PUNCT
ejpam-4922	262	8	2000	2000	NUM
ejpam-4922	262	9	.	.	PUNCT
ejpam-4922	263	1	[	[	X
ejpam-4922	263	2	7	7	NUM
ejpam-4922	263	3	]	]	SYM
ejpam-4922	263	4	bahareh	bahareh	NOUN
ejpam-4922	263	5	kalantar	kalantar	NOUN
ejpam-4922	263	6	.	.	PUNCT
ejpam-4922	264	1	groundwater	groundwater	NOUN
ejpam-4922	264	2	management	management	NOUN
ejpam-4922	264	3	and	and	CCONJ
ejpam-4922	264	4	resources	resource	NOUN
ejpam-4922	264	5	.	.	PUNCT
ejpam-4922	265	1	bod	bod	ADJ
ejpam-4922	265	2	–	–	PUNCT
ejpam-4922	265	3	books	book	NOUN
ejpam-4922	265	4	on	on	ADP
ejpam-4922	265	5	demand	demand	NOUN
ejpam-4922	265	6	,	,	PUNCT
ejpam-4922	265	7	2021	2021	NUM
ejpam-4922	265	8	.	.	PUNCT
ejpam-4922	266	1	[	[	X
ejpam-4922	266	2	8	8	NUM
ejpam-4922	266	3	]	]	X
ejpam-4922	266	4	michael	michael	PROPN
ejpam-4922	266	5	kasenow	kasenow	PROPN
ejpam-4922	266	6	.	.	PUNCT
ejpam-4922	267	1	applied	apply	VERB
ejpam-4922	267	2	ground	ground	NOUN
ejpam-4922	267	3	-	-	PUNCT
ejpam-4922	267	4	water	water	NOUN
ejpam-4922	267	5	hydrology	hydrology	NOUN
ejpam-4922	267	6	and	and	CCONJ
ejpam-4922	267	7	well	well	INTJ
ejpam-4922	267	8	hydraulics	hydraulic	NOUN
ejpam-4922	267	9	.	.	PUNCT
ejpam-4922	268	1	water	water	NOUN
ejpam-4922	268	2	resources	resource	NOUN
ejpam-4922	268	3	publication	publication	NOUN
ejpam-4922	268	4	,	,	PUNCT
ejpam-4922	268	5	2001	2001	NUM
ejpam-4922	268	6	.	.	PUNCT
ejpam-4922	269	1	[	[	X
ejpam-4922	269	2	9	9	NUM
ejpam-4922	269	3	]	]	X
ejpam-4922	269	4	peter	peter	PROPN
ejpam-4922	269	5	knabner	knabner	PROPN
ejpam-4922	269	6	and	and	CCONJ
ejpam-4922	269	7	lutz	lutz	PROPN
ejpam-4922	269	8	angermann	angermann	PROPN
ejpam-4922	269	9	.	.	PUNCT
ejpam-4922	270	1	numerical	numerical	ADJ
ejpam-4922	270	2	methods	method	NOUN
ejpam-4922	270	3	for	for	ADP
ejpam-4922	270	4	elliptic	elliptic	ADJ
ejpam-4922	270	5	and	and	CCONJ
ejpam-4922	270	6	parabolic	parabolic	ADJ
ejpam-4922	270	7	partial	partial	ADJ
ejpam-4922	270	8	differential	differential	NOUN
ejpam-4922	270	9	equations	equation	NOUN
ejpam-4922	270	10	.	.	PUNCT
ejpam-4922	271	1	2021	2021	NUM
ejpam-4922	271	2	.	.	PUNCT
ejpam-4922	272	1	[	[	X
ejpam-4922	272	2	10	10	NUM
ejpam-4922	272	3	]	]	X
ejpam-4922	272	4	makosha	makosha	PROPN
ejpam-4922	272	5	ishmaeline	ishmaeline	PROPN
ejpam-4922	272	6	charlotte	charlotte	PROPN
ejpam-4922	272	7	morakaladi	morakaladi	PROPN
ejpam-4922	272	8	and	and	CCONJ
ejpam-4922	272	9	abdon	abdon	PROPN
ejpam-4922	272	10	atangana	atangana	PROPN
ejpam-4922	272	11	.	.	PUNCT
ejpam-4922	273	1	mathematical	mathematical	ADJ
ejpam-4922	273	2	model	model	NOUN
ejpam-4922	273	3	for	for	ADP
ejpam-4922	273	4	conversion	conversion	NOUN
ejpam-4922	273	5	of	of	ADP
ejpam-4922	273	6	groundwater	groundwater	NOUN
ejpam-4922	273	7	flow	flow	NOUN
ejpam-4922	273	8	from	from	ADP
ejpam-4922	273	9	confined	confine	VERB
ejpam-4922	273	10	to	to	ADP
ejpam-4922	273	11	unconfined	unconfined	ADJ
ejpam-4922	273	12	aquifers	aquifer	NOUN
ejpam-4922	273	13	with	with	ADP
ejpam-4922	273	14	power	power	NOUN
ejpam-4922	273	15	law	law	NOUN
ejpam-4922	273	16	processes	process	NOUN
ejpam-4922	273	17	.	.	PUNCT
ejpam-4922	274	1	open	open	ADJ
ejpam-4922	274	2	geosciences	geoscience	NOUN
ejpam-4922	274	3	,	,	PUNCT
ejpam-4922	274	4	15(1):20220446	15(1):20220446	NUM
ejpam-4922	274	5	,	,	PUNCT
ejpam-4922	274	6	2023	2023	NUM
ejpam-4922	274	7	.	.	PUNCT
ejpam-4922	275	1	[	[	X
ejpam-4922	275	2	11	11	NUM
ejpam-4922	275	3	]	]	PUNCT
ejpam-4922	275	4	rachel	rachel	PROPN
ejpam-4922	275	5	rotz	rotz	PROPN
ejpam-4922	275	6	.	.	PUNCT
ejpam-4922	276	1	hydrogeologic	hydrogeologic	ADJ
ejpam-4922	276	2	properties	property	NOUN
ejpam-4922	276	3	of	of	ADP
ejpam-4922	276	4	earth	earth	NOUN
ejpam-4922	276	5	materials	material	NOUN
ejpam-4922	276	6	and	and	CCONJ
ejpam-4922	276	7	principles	principle	NOUN
ejpam-4922	276	8	of	of	ADP
ejpam-4922	276	9	groundwater	groundwater	NOUN
ejpam-4922	276	10	flow	flow	NOUN
ejpam-4922	276	11	,	,	PUNCT
ejpam-4922	276	12	2021	2021	NUM
ejpam-4922	276	13	.	.	PUNCT
ejpam-4922	277	1	[	[	X
ejpam-4922	277	2	12	12	NUM
ejpam-4922	277	3	]	]	PUNCT
ejpam-4922	277	4	mazumder	mazumder	NOUN
ejpam-4922	277	5	sandip	sandip	NOUN
ejpam-4922	277	6	.	.	PUNCT
ejpam-4922	278	1	numerical	numerical	ADJ
ejpam-4922	278	2	methods	method	NOUN
ejpam-4922	278	3	for	for	ADP
ejpam-4922	278	4	partial	partial	ADJ
ejpam-4922	278	5	differential	differential	ADJ
ejpam-4922	278	6	equations	equation	NOUN
ejpam-4922	278	7	:	:	PUNCT
ejpam-4922	278	8	finite	finite	ADJ
ejpam-4922	278	9	difference	difference	NOUN
ejpam-4922	278	10	and	and	CCONJ
ejpam-4922	278	11	finite	finite	ADJ
ejpam-4922	278	12	volume	volume	NOUN
ejpam-4922	278	13	methods	method	NOUN
ejpam-4922	278	14	.	.	PUNCT
ejpam-4922	279	1	academic	academic	ADJ
ejpam-4922	279	2	press	press	NOUN
ejpam-4922	279	3	,	,	PUNCT
ejpam-4922	279	4	2015	2015	NUM
ejpam-4922	279	5	.	.	PUNCT
ejpam-4922	280	1	[	[	X
ejpam-4922	280	2	13	13	NUM
ejpam-4922	280	3	]	]	SYM
ejpam-4922	280	4	v	v	ADP
ejpam-4922	280	5	vázquez	vázquez	PROPN
ejpam-4922	280	6	-	-	PUNCT
ejpam-4922	280	7	báez	báez	PROPN
ejpam-4922	280	8	,	,	PUNCT
ejpam-4922	280	9	a	a	DET
ejpam-4922	280	10	rubio	rubio	NOUN
ejpam-4922	280	11	-	-	PUNCT
ejpam-4922	280	12	arellano	arellano	PROPN
ejpam-4922	280	13	,	,	PUNCT
ejpam-4922	280	14	dolores	dolore	VERB
ejpam-4922	280	15	garćıa	garćıa	ADJ
ejpam-4922	280	16	-	-	ADJ
ejpam-4922	280	17	toral	toral	ADJ
ejpam-4922	280	18	,	,	PUNCT
ejpam-4922	280	19	i	i	PROPN
ejpam-4922	280	20	rodŕıguez	rodŕıguez	PROPN
ejpam-4922	280	21	mora	mora	PROPN
ejpam-4922	280	22	,	,	PUNCT
ejpam-4922	280	23	et	et	PROPN
ejpam-4922	280	24	al	al	PROPN
ejpam-4922	280	25	.	.	PROPN
ejpam-4922	281	1	modeling	model	VERB
ejpam-4922	281	2	an	an	DET
ejpam-4922	281	3	aquifer	aquifer	NOUN
ejpam-4922	281	4	:	:	PUNCT
ejpam-4922	281	5	numerical	numerical	ADJ
ejpam-4922	281	6	solution	solution	NOUN
ejpam-4922	281	7	to	to	ADP
ejpam-4922	281	8	the	the	DET
ejpam-4922	281	9	groundwater	groundwater	NOUN
ejpam-4922	281	10	flow	flow	NOUN
ejpam-4922	281	11	equation	equation	NOUN
ejpam-4922	281	12	.	.	PUNCT
ejpam-4922	282	1	mathematical	mathematical	ADJ
ejpam-4922	282	2	problems	problem	NOUN
ejpam-4922	282	3	in	in	ADP
ejpam-4922	282	4	engineering	engineering	NOUN
ejpam-4922	282	5	,	,	PUNCT
ejpam-4922	282	6	2019	2019	NUM
ejpam-4922	282	7	,	,	PUNCT
ejpam-4922	282	8	2019	2019	NUM
ejpam-4922	282	9	.	.	PUNCT
ejpam-4922	283	1	[	[	X
ejpam-4922	283	2	14	14	NUM
ejpam-4922	283	3	]	]	X
ejpam-4922	283	4	ming	ming	PROPN
ejpam-4922	283	5	-	-	PUNCT
ejpam-4922	283	6	chang	chang	PROPN
ejpam-4922	283	7	wu	wu	PROPN
ejpam-4922	283	8	and	and	CCONJ
ejpam-4922	283	9	ping	ping	PROPN
ejpam-4922	283	10	-	-	PUNCT
ejpam-4922	283	11	cheng	cheng	PROPN
ejpam-4922	283	12	hsieh	hsieh	PROPN
ejpam-4922	283	13	.	.	PUNCT
ejpam-4922	284	1	variation	variation	NOUN
ejpam-4922	284	2	of	of	ADP
ejpam-4922	284	3	groundwater	groundwater	NOUN
ejpam-4922	284	4	flow	flow	NOUN
ejpam-4922	284	5	caused	cause	VERB
ejpam-4922	284	6	by	by	ADP
ejpam-4922	284	7	any	any	DET
ejpam-4922	284	8	spatiotemporally	spatiotemporally	ADV
ejpam-4922	284	9	varied	varied	ADJ
ejpam-4922	284	10	recharge	recharge	NOUN
ejpam-4922	284	11	.	.	PUNCT
ejpam-4922	285	1	water	water	NOUN
ejpam-4922	285	2	,	,	PUNCT
ejpam-4922	285	3	12(1):287	12(1):287	NUM
ejpam-4922	285	4	,	,	PUNCT
ejpam-4922	285	5	2020	2020	NUM
ejpam-4922	285	6	.	.	PUNCT
ejpam-4922	286	1	[	[	X
ejpam-4922	286	2	15	15	NUM
ejpam-4922	286	3	]	]	X
ejpam-4922	286	4	xiaoping	xiaoping	PROPN
ejpam-4922	286	5	zhang	zhang	PROPN
ejpam-4922	286	6	,	,	PUNCT
ejpam-4922	286	7	yan	yan	PROPN
ejpam-4922	286	8	zhu	zhu	PROPN
ejpam-4922	286	9	,	,	PUNCT
ejpam-4922	286	10	jing	jing	PROPN
ejpam-4922	286	11	wang	wang	PROPN
ejpam-4922	286	12	,	,	PUNCT
ejpam-4922	286	13	lili	lili	PROPN
ejpam-4922	286	14	ju	ju	PROPN
ejpam-4922	286	15	,	,	PUNCT
ejpam-4922	286	16	yingzhi	yingzhi	PROPN
ejpam-4922	286	17	qian	qian	PROPN
ejpam-4922	286	18	,	,	PUNCT
ejpam-4922	286	19	ming	ming	PROPN
ejpam-4922	286	20	ye	ye	PROPN
ejpam-4922	286	21	,	,	PUNCT
ejpam-4922	286	22	and	and	CCONJ
ejpam-4922	286	23	jinzhong	jinzhong	PROPN
ejpam-4922	286	24	yang	yang	PROPN
ejpam-4922	286	25	.	.	PUNCT
ejpam-4922	287	1	gw	gw	PROPN
ejpam-4922	287	2	-	-	PUNCT
ejpam-4922	287	3	pinn	pinn	PROPN
ejpam-4922	287	4	:	:	PUNCT
ejpam-4922	287	5	a	a	DET
ejpam-4922	287	6	deep	deep	ADJ
ejpam-4922	287	7	learning	learning	NOUN
ejpam-4922	287	8	algorithm	algorithm	NOUN
ejpam-4922	287	9	for	for	ADP
ejpam-4922	287	10	solving	solve	VERB
ejpam-4922	287	11	groundwater	groundwater	NOUN
ejpam-4922	287	12	flow	flow	NOUN
ejpam-4922	287	13	equations	equation	NOUN
ejpam-4922	287	14	.	.	PUNCT
ejpam-4922	288	1	advances	advance	NOUN
ejpam-4922	288	2	in	in	ADP
ejpam-4922	288	3	water	water	NOUN
ejpam-4922	288	4	resources	resource	NOUN
ejpam-4922	288	5	,	,	PUNCT
ejpam-4922	288	6	165:104243	165:104243	NUM
ejpam-4922	288	7	,	,	PUNCT
ejpam-4922	288	8	2022	2022	NUM
ejpam-4922	288	9	.	.	PUNCT