AQUIFER DRAWDOWN AND VARIABLE-STAGE STREAM DEPLETION INDUCED BY A NEARBY PUMPING WELL
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1 Pocing of h 1 h Innaional Confnc on Enionmnal cinc an chnolog Rho Gc 3-5 pmb 15 AUIFER DRAWDOWN AND VARIABE-AGE REAM DEPEION INDUCED BY A NEARBY PUMPING WE BAAOUHA H.M. aa Enionmn & Eng Rach Iniu EERI PO Bo: 55 Doha aa Baalouha@wb. ABRAC A am plion phnomnon ha bn ui fo man ca an iffn analical mol w lop o fin h ffc of a pumping wll on a nab am. Mo lop mol coni a conan am ag o nglc h aiaion in am ag. hi i no h ca in ali wh h am flow an ll coninuoul a o im. In hi pap a nw analical mol wa lop coniing aiaion in am flow i.. am ag. h lop mol coni h cion of am flow an i impac on am plion an awown. Compaion bwn h lop oluion an h iing on how a ignifican icpanc whn h am flow ai. Kwo: am plion am cion analical oluion awown. 1. Inoucion Numou ui w conuc o unan h phnomnon of h am plion uling fom a pumping wll. hi 191 wa h fi o u h ffc of a pumping wll on a flowing am poucing a impl oluion which wa la lop b Glo an Balm 195. h la mol wa fuh lop b Hanuh 196 o accoun fo amb conucanc. Hun 1999 moifi h Hanuh oluion o b pn h ffc of paiall clogg amb on am plion an awown. Baalouha 1 i h am oluion of Hun 1999 ba on a uppoiion appoach an coniing a am of a fini wih. In all oluion lop o fa i wa aum h am ll i.. ag i conan all h im. How hi conaic h ali ha am flow an ag a coninuoul. hi pap lop a oluion ha accoun fo am ll aiaion o im an incopoa hi aiaion in anali of am plion an awown.. Mahmaical Dlopmn.1. Dawown Baalouha 1 i h awown in auif uling fom a pumping wll na a am ba on uppoiion of a pumping wll w an a loing am. Coniing a cooina m a h cn of a am h wll awown w a an poin an a an im i gin b hi Euaion: w Ei wh i h pumping a i h auif oaii i h ianc bwn a pumping wll an h am i im inc pumping a an i h auif anmiii. Ei i h ponnial ingal alo known a wll funcion. h awown uling fom h am alon i gin b Hun 1999 Baalouha 1: 1 CE15_6
2 CE15_6 Ei / Wh i h amb conucanc [m /]. Euaion i ba on h aumpion of a conan am ll a i h ca in all lop analical oluion. Auming i h funcion of am ll aiaion o im hn i gin uing h conoluion ingal Calaw an Jag 1959: 3 Wh i h auif awown uling fom a aiabl ag am lakag. Fom an 3: / Ingaing Euaion wih pc o il: fc / 5 If h am ag i conan hn accoing o aumpion of piou oluion gin in Euaion =1. hi i bcau i wa aum in Hun 1999 oluion ha h ppumping gounwa ll an h i a a h am ll. In hi ca Euaion an bcom inical... am Dplion Ba on Dac aw an following h am appoach of Baalouha 1 oal am plion i gin b: 6 Euaion 6 i mulipli b bcau am plion occu a boh i of h am. Euaion 6 can b fuh implifi a: 7 Bcau h funcion i mmic a boh i of -ai i.. o no chang whn ign chang a hown in Euaion 5 an i a funcion of onl. Ba on Euaion 5 h flow gain a h g of h am can b win a: fc 5 / / 16 Fom 7 an h am plion i:
3 CE15_6 fc 9.3. Eampl An ampl i u o mona h ffc of pumping on awown an am plion whn h ag ai o im. hi ampl aum an ponnial chang of am ll which i conin wih a pical cion cu allakn 1995 ob 196. In hi ca h am ag funcion i: a 1 Wh i h iniial am ll a i a conan an i im. Uing Euaion 5 an 1 h awown i: fc a / 11 Ba on Euaion 9 an 1 h am plion i: fc a a 1 I i aum ha a pumping wll i loca a a ianc =3 m fom h am cnlin. h am wih i 1 m an h pumping a i 1 ma. oaii an anmiii w aum o b. an m /a pcil an h ical haulic conucii of h i b i.1. Figu 1 how h oal awown o im uling fom am lakag fo boh ca of aiabl-ag am an conan-ag am. h oal awown i h um of goun wa ll i u o am lakag an op u o pumping. I i gin b: Ei fc a / 13 Boh conan an aiabl ag ha imila awown in h al im bu hn h aiabl ag how high awown i.. l lakag u o clining ag o im a gin b Euaion 1.
4 Figu 1: Dawown a h g of h am fo boh conan an aiabl ag. h imnionl am plion / uling fom h pumping wll i hown in Figu. h aiabl-ag am how a coniabl l plion i.. flow o auif compa o h conan-ag am. hi i bcau h ag of h am ca o im a fa a of clining wa abl b pumping. A a conunc h ha iffnc bwn h am an h auif uc which uc am plion. Figu : am plion fo boh conan an aiabl ag. 3. Concluion A nw oluion ha bn i in hi u o calcula h awown an am plion uling fom a nab pumping wll. hi oluion i mo gnali han iing oluion CE15_6
5 in h liau a i coni aiaion in am ag. A hown in hi u chang in am ag ignificanl affc boh awown an am plion. I i foun ha boh awown an am plion ca o im a a ul of ag cion. h oluion pn can b u wih an funcion o conan pning h chang in am ag o im. I alo can b u wih uppoiion in ca h ag funcion chang o im. REFERENCE 1. Baalouha H.M. 1 Dawown an am plion inuc b a nab pumping wll. Jounal of Holog DOI: 1.116/j.jhol Calaw H.. an Jag J.C Conucion of ha in oli. Ofo Unii P. 51p. 3. Glo R.E. Balm G.G. 195 Ri plion uling fom pumping a wll na a i. an. Am. Goph. Union Hanuh M Wll na am wih mipiou b. J. Goph. R Hun B Una am plion fom goun wa pumping. Goun Wa allakn.m A iw of baflow cion anali. Jounal of Holog 165 pp hi C. 191 h ffc of a wll on h flow of a nab am. an. Am. Goph. Union ob Conli an ang D. D. 196 On cion cu. i - Rcion uaion. Jounal of holog Nw Zalan 3 no. pp -1 CE15_6
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