Hydrologic Contaminant Transport Modeling: A Novel Analytical and Computational Approach
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1 MERI JOURL OF UDERGRDUTE REERH VOL O Hdrologc o Trpor Modlg: ol lcl d opuol pproc M Wlo d MW Ro Pc Dpr Ur of orr Iow dr Fll Iow U MZ Ibl Er cc Dpr Ur of orr Iow dr Fll Iow U Rcd Fbrur 3 ccpd prl 5 TRT W dlopd od for odlg co rpor ufr w rcgulr boudr ulzg lcl oluo o porou du flow uo d f dffrc oluo o dco-dpro uo ubr of wll b plcd w ufr wll ubr of o-rcg co o d boudr ul rr b cludd b of ourc r W rlc prr w r bl o uccfull odl d prdc coo rpor ocpu wll ud for bo udrgrdu pdgog d rrc I GROUD D MOTIVTIO T Ur of orr Iow clur of wr oorg wll wc r rr of r cc ud g ffc of coo w ufr prdg o rr To r ffor w dlopd odl wc llow prdco of prd of co w ufr d o rr T od prd r co for of corcll dlopd pcg uc MODFLOW bcu wddg of copuol d lcl wor fford ud opporu o plor rou fc of cl odlg frd d courg fcul-fcul d ud-ud collboro cro dpr T purpo of wor wofold: o oul cl odl w dlopd d o lo u odl o p br udrdg of rl II THEORY Tr r wd r of pproc o odlg groudwr flow bo lcl [] d urcl olg dcrzo of pc d ug fl pproc [34] rcl pg w o dcrb co flow cofd ufr w prbl rcgulr boudr Howr w opo of rg co-d rr w ufr odl d c b oug of of -cofd ufr
2 MERI JOURL OF UDERGRDUTE REERH VOL O T pproc dcrbd ppr co of wo p Fr bor of pcl flow of wr odld lcll w porou du flow uo codl wr loc fld obd fro fr p ud f-dffrc pproc o olg dco-dpro uo Dcrbg T Flow of Wr To odl flow of wr ufr w r rd olg porou du flow uo for oogou oropc r: δ r r Qδ r Hr drulc coduc of ol pcfc org d poorc d po d Tr b wll; wll plcd poo r d olurc pupg r o > for co wll d < for pupg wll δ Drc dl fuco d ud c o dcrb flow d wc odld bg zro rwr bu gulr loco of wll or log rr l loug wll olurc pupg d r orzoll gulr b oug of g u rcl drco o f r rcl o of u lg u b ddd b co urd pupg lg of c wll Tr c b rr locd r wc u l co or pupg ourc w rl pupg r Q T ubc o l codo d oflow boudr codo wll of ufr: cc rpro of probl b foud Fgur Euo rur oluo o b of for 3 co co W c rwr uo r r Q δ δ r 4 ubu uo 3 o 4 d ulpl c r b col/co/ pplg oroorl rlop for gro or produc of d co [5] d ppd produc dffrl uo for -dpd po coffc : d d d 5
3 MERI JOURL OF UDERGRDUTE REERH VOL O Fgur cc rpro of l/boudr-lu probl odlg groudwr flow d d co d d co d d co co 4 Euo 5 5d c b old o ld pro for coffc l: Q r r r δ δ 5b 5c 5d 6 3
4 MERI JOURL OF UDERGRDUTE REERH VOL O co 6b co 6c co co 4 6d Epro for l po coffc r obd ug uo 3 d oroorl rlop ppd: d d 7 d d co 7b d d co 7c d d co co 4 7d I prcc uo 6 6d d 7 7d r urcll lud T poorc d prd u uo 3 wc rucd o co orzol r or ufr lg d rcl r or ufr wd; co-d boudr rr odld b dug d r o cr fd lu pw rougou copur ulo Tbl ow prr por odlg groudwr flow 4
5 MERI JOURL OF UDERGRDUTE REERH VOL O Prr bol Vlu Lg of ufr [6] 3 Wd of ufr [6] 5 Hdrulc oduc [6] 5-7 /c pcfc org [6] ubr of r wd orzol u 5 ubr of r dp rcl u 5 Tbl Prr por odlg groudwr flow b Rprg co rpor T gol of co rpor odlg wor o rc cocro of M o-rcg co copo T gorg uo for bor of cocro copo ddd o ufr dco-dpro uo for oropc oogou r M D 8 Hr D drodc dpr of co copo d rg lr loc of wr wc w ob fro poorc d: co co l φ φ 9 Hr φ ol poro d u b o ccou c o ll pc lbl for upporg wr flow I drbl o ol uo 8 lcll bu copl uull pr uc ffor Trfor w u pl f dffrc pproc T ufr prod o grd w po orzol drco d po rcl drco ow Fgur T pprog dr uo 8 ug f dffrc w rr dcrzd for of dco-dpro uo: D 5
6 MERI JOURL OF UDERGRDUTE REERH VOL O Fgur Dgrc rpro of f dffrc grd ud odlg co rpor Euo ow u ul o plu upd wc dpd o locl ro of w rg wr loc clculd prcrbd uo 9 Trfor w bg w l cocro of co for M d dc uo crll roug Tbl co prr rl o odlg of rpor of co III REULT D DIUIO W coducd 6 cod 3333 our ulo for clord o coo w ufr prr fro Tbl d w l d of gu d rr w co d of 5 plcd r 3 Tr co wll locd 5 5 d co ll plcd 5 Fl d rl poorc d urfc d coour plo r ow Fgur 3 d corrpodg r of co cocro urfc d coour plo r ow Fgur 4 W g drulc coduc d d codo w foud dffuo w do co rpor c rl ulo cr of co plu r fd uc bor du l o fc ufr w r odlg frl Prr bol Vlu ol Poro [6] φ 7 Il cocro of l - [6] 7 g/ 3 Hdrodc dpr of l - [6] D 4-5 /c ubr of grd po orzol drco 5 ubr of grd po rcl drco 5 Tbl Prr por odlg co rpor 6
7 MERI JOURL OF UDERGRDUTE REERH VOL O Fgur 3 Poorc d urfc d coour plo for our ulo ow 67 our op d 3333 our boo T wll d rr r l bl bo o urfc plo d coour plo o op d grcl rg fro blc o u w ow o d of c plo ru for Fgur 4 o ufr rcgulr o gor lgl dord T ffc of rr d wll r clrl dcd b codrbl drwdow 7
8 MERI JOURL OF UDERGRDUTE REERH VOL O Fgur 4 o profl for 3333 our ulo ow 67 our 3333 our 833 our 667 our 5 our d 3333 our fro uppr lf o lowr rg T 333 our plo ord lgl dffrl ordr o ow dplg of urfc T grcl r lgl fro cocro of g/ 3 blc o u w dcd b cocro- cl T plo r prd w o w c ob opl d rg for ddul plo d o g flg for w d o w dgr co r rg rr 8
9 MERI JOURL OF UDERGRDUTE REERH VOL O Fgur 5 o plu d coour p 67 our lf d 833 our rg grl for prou fgur opr o co plu Fgur 4 o prc of dco r wr cr of co plu rl drco of rg wr loc ll d dffu rpor uc or prl of dco T plu cou o ol p d co bg o rc rr fr bou 3 or 4 our dco lp p co plu rr rcd d plu ull o p cocll lr o of clculd wr bl would b pcd cro o co do cro rr bu pr of our odl do o robl rpr cul ufr pcd pupg r Q of rr dcr w du o drwdow W lo wd o ow dc ur of co rpor wll o w coducd ulo w gr wr pd W rpd prou ulo ug drulc coduc 5-5 /c u poro d l poorc d of W rlz l poorc d rfcll g c d w pz ulo for purpo of obg dco our r ll ufr ow Fgur 5 Erl o dffuo pl por rol co rpor bu plu o dowr owrd rr progr Hr co bg rcg rr lgl pror o r our prd log rr fr d d gr cocro log rr ll pcd Ull co profl c of clculd wr bl IV OLUIO D REOMMEDTIO W dlopd odl wc wddg of copuol d lcl pproc cl ol udrgrdu ud odlg ulcopo o-rcg co rpor cofd ufr cludg ubr of co or pupg wll Furror odl corpor co d boudr codo w ppropr rrg of rr d/or wll wo poorc d r dud w copur lgor W rlc ufr prr ud 3 o 4 our for clord co po o rc rr w plcd w fro ll W pz owr l poorc d w ol gu d rpor r ccordg o cul codo T ufr Ur of orr Iow r ll o dco do o o pl por rol co rpor T pupg wll o ll ffc bu could crl r or or uo lor gr coduc c W odl urlcll ggrd o 9
10 MERI JOURL OF UDERGRDUTE REERH VOL O o g g wr pd w oc dco wll d co b dcud rlr w co w w pcd I bo cro co profl grll c of wr bl fr bou 6 or 7 our d o or ocd lr I b drbl o plo co cocro log rr d follow w ; odl pplcbl o ubr of dffr uo o furr ud u for odlg pcfc wrrd d gl drbl PPEDIX Igro or u or produc of d co c b plfd b ug oroorl rlo for fuco [5] I prculr co l co co co d d 4 δ l δ d L u l u co co du L L L δ l REFEREE R Frz d J rr Groudwr Prc Hll Publr ddl Rr w Jr U 979 H ouwr Groudwr Hdrolog McGrw Hll w Yor Y U HM H lc El Modlg of Groudwr Flow cdc Pr Dgo lfor U r H Lur d J Wl ppld urcl Mod Wl w Yor Y U for pl uc clc RV urcll Fourr r d oudr Vlu Probl McGrw-Hll w Yor Y 94 6 M Z Ibl d ud rrc group pr couco p://wwwflcdu Flc ollg locd o wo cpu Lod d Rurford w Jr Mor 7 ud cour d rd d d g d urd progr ldg o udrgrdu d grdu dgr r d cc l cc d cr duco Hoor Progr offr pcl opporu for dpd ud rrc d ldrp o cpu d cou Flc ollg ud l prcp Do II of ol oco of Ircollg lc
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