Duetotheintricatestructureofporousmedia,themacroscopicpetrophysicaltransportpropertiessuchasthepermeabilityandthesaturationusedforthereservoirpredictionalsoshowaverycomplexnatureandaredifficulttoobtain.Thus,abetterunderstandingoftheinfluenceoftherockstructureonthepetrophysicaltransportpropertiesisimportant.Inthispaper,wepresentauniversalfinitevolumeelementmodelingapproachtoreconstructthethreedimensionalporemodelsfromthemicro-CTimagesbasedonthecommercialsoftwareMimicsandICEM,priortotheporenetworkmodelbasedonsomebasicassumptions.Moreover,tetrafinitevolumeelementsarepileduptorealizethegeometryreconstructionandthemeshingprocess.Comparedwiththeformermethods,thisprocessavoidsthetremendouslylargestoragerequirementforthereconstructedporousgeometryandthefailuresofmeshingthesecomplexpolygongeometries,andatthesametimeimprovesthepredictionsofpetrophysicaltransportbehaviors.ThemodelistestedontwoBereasandstones,foursandstonesamples,twocarbonatesamples,andoneSyntheticSilica.Single-andtwophaseflowsimulationsareconductedbasedontheNavier-StokesequationsintheFluentsoftware.Goodagreementsareobtainedonboththenetworkstructuresandpredictedsingle-andtwo-phasetransportpropertiesagainstbenchmarkexperimentaldata.