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1、WATERRESOURCESRESEARCH,VOL.38,NO.3,1029,10.1029/2000WR000198,2002ModelingbiodegradationprocessesinporousmediabythefinitecellmethodNe-ZhengSunCivilandEnvironmentalEngineeringDepartment,UniversityofCalifornia,LosAngeles,California,USAReceived9January2001;revised18October2001;accepted18October2001;pu
2、blished30March2002.[1]Inthispaper,thefinitecellmethod(FCM)presentedbySun[1999]isextendedtothetwo-dimensionalcaseandusedtosimulatecomplicatedbiodegradationprocessesinporousmedia.FCMisbasedonthedirectsimulationofvariousphysical,chemical,andbiologicalphenomenaratherthansolvingadvection-dispersion-rea
3、ctionequations.Thedevelopedtwo-dimensionalFCMisabletodealwithheterogeneousstructuresandvariableflowfields.TwotestproblemsshowthatFCMcanproducemoreaccuratesolutionsthanothernumericalmethods.ItcankeepbothlocalandglobalmassconservationandavoidnumericaldispersionevenwhenthePecletnumberbecomesinfinite.
4、Thebiodegradationmodelformulatedinthispaperconsistsoffivepartialdifferentialequationswithfiveunknownconcentrationswhenkineticmassexchangeandrate-limitedattachmentofmicroorganismsareconsidered.UsingFCMtosolvethisproblem,wedefinetwosetsofcells,themobilefluidcellsandtheimmobilesolidcells.Amobilefluid
5、cellmaycontaindissolvedsubstrate,suspendedmicroorganisms,andelectronacceptorcomponents,whileanimmobilesolidcellmaycontainadsorbedsubstrateandattachedbiomass.Whenamobilecellmeetsanimmobilecellonitsway,massexchangesmayoccurbetweenthemandreactionsmayoccurwithinthem.Bydirectlysimulatingtheseprocesses,
6、allthefiveunknownconcentrationscanbeobtainedexplicitlyandsimultaneously.AnumericalexampleisgiventhatshowstheFCMsolutionofabiodegradationprocessinarandomlyheterogeneousporousmedia.WeexpectthattheFCMcanserveasnotonlyapowerfulsimulationtoolbutalsoausefultoolformechanismstudy.INDEXTERMS:1832Hydrology:
7、Groundwatertransport;3210MathematicalGeophysics:Modeling;3230MathematicalGeophysics:Numericalsolutions;4809Oceanography:BiologicalandChemical:Colloids;KEYWORDS:biodegradation,colloids,groundwaterquality,reactivet
