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1、StudyofflowandtransportinfracturenetworkusingpercolationtheoryHaihongMoa,MaoBaib,*,DezhangLinb,Jean-ClaudeRoegiersbDepartmentofCivilEngineering,SouthChinaUniversityofTechnology,Guangzhou,ChinabRockMechanicsInstitute,TheUniversityofOklahoma,Norman,OK73019,USAReceived27August1996;receivedinrevisedfo
2、rm3February1998;accepted3February1998AbstractAfracturenetworkmodelbasedonalgebraictopologytheoryhasbeendevelopedtostudyfluidflowandsolutetransportinfracturedominantmedia.Thediscretefracturenetworkisgeneratedstochasticallywhiletheflowandtransportineachindividualfracturearesolvedusingacontinuumappro
3、ach.Alternativetothetraditionalformula-tions,thefracturegeometries,connectivitiesandflowcharacteristicsfollowatopologicalstructureappropriatetotheclassoffracturenetworksorsystems.Theinnovativenaturesalsoincludethedevelopmentofatransportmecha-nisminwhichdispersive-convectivesolutemigrationthroughdi
4、scretefracturenetworkcanbeevaluated.©1998ElsevierScienceInc.Allrightsreserved.Keywords:Percolation;Fractures;Topology;Flow;Transport4.2.IntroductionInthefractureddominantmedia,fluidflowsmainlythroughfractures.Sincethehydraulicbe-haviorofarockmassislargelydeterminedbythegeometryofthefracturesystem,
5、thefieldin-vestigationsofflowinfracturedrockhaveclearlydemonstratedthatmodelingtherockasahomogeneouscontinuumcancreateserioussimplifications.Goodness-of-fitstatisticsshowthatthesemi-analyticmodelsdonotcalibrateaswelltomeasuredheadsasdothecontinuummodels.Aporousmediamodelingapproachisrestrictedbeca
6、useoftheheterogeneities,suchasfractures,whichcannotbeexplicitlyincludedinthemodeling.Thus,inordertoanalyzethehydraulicbe-haviorofmassiverocks,thenecessarystepincludesadetaileddescriptionofthecharacteristicsandgeometriesofindividualdiscontinuitiesandofthediscontinuitysystem.Thediscreteapproachinvol
7、vesmodelingfluidflowandmasstransportinanetworkintendedtoquantifyhydrogeologicalfactorssuchasstorativityandconductivityincomplexdomains.Duetotheimportanceandpracticalityofthesubject,numerousdiscretefracturenetwork
