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1、StudyofflowandtransportinfracturenetworkusingpercolationtheoryHaihongMoa,MaoBaib,*,DezhangLinb,Jean-ClaudeRoegiersbDepartmentofCivilEngineering,SouthChinaUniversityofTechnology,Guangzhou,ChinabRockMechanicsInstitute,TheUniversityofOklahoma,Norman,OK73019,USAReceived27August1996;receivedinrevi
2、sedform3February1998;accepted3February1998AbstractAfracturenetworkmodelbasedonalgebraictopologytheoryhasbeendevelopedtostudyfluidflowandsolutetransportinfracturedominantmedia.Thediscretefracturenetworkisgeneratedstochasticallywhiletheflowandtransportineachindividualfracturearesolvedusingacont
3、inuumapproach.Alternativetothetraditionalformula-tions,thefracturegeometries,connectivitiesandflowcharacteristicsfollowatopologicalstructureappropriatetotheclassoffracturenetworksorsystems.Theinnovativenaturesalsoincludethedevelopmentofatransportmecha-nisminwhichdispersive-convectivesolutemig
4、rationthroughdiscretefracturenetworkcanbeevaluated.©1998ElsevierScienceInc.Allrightsreserved.Keywords:Percolation;Fractures;Topology;Flow;Transport4.2.IntroductionInthefractureddominantmedia,fluidflowsmainlythroughfractures.Sincethehydraulicbe-haviorofarockmassislargelydeterminedbythegeometry
5、ofthefracturesystem,thefieldin-vestigationsofflowinfracturedrockhaveclearlydemonstratedthatmodelingtherockasahomogeneouscontinuumcancreateserioussimplifications.Goodness-of-fitstatisticsshowthatthesemi-analyticmodelsdonotcalibrateaswelltomeasuredheadsasdothecontinuummodels.Aporousmediamodelin
6、gapproachisrestrictedbecauseoftheheterogeneities,suchasfractures,whichcannotbeexplicitlyincludedinthemodeling.Thus,inordertoanalyzethehydraulicbe-haviorofmassiverocks,thenecessarystepincludesadetaileddescriptionofthecharacteristicsandgeometriesofindividualdiscontinuitiesandofthediscontinuitys
7、ystem.Thediscreteapproachinvolvesmodelingfluidflowandmasstransportinanetworkintendedtoquantifyhydrogeologicalfactorssuchasstorativityandconductivityincomplexdomains.Duetotheimportanceandpracticalityofthesubject,numerousdiscretefracturenetwork
