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1、InternationalJournalofEngineeringScience40(2002)1807–1833www.elsevier.com/locate/ijengsciAcontinuumtheoryofporousmediasaturatedbymultipleimmiscible?uids:I.LinearporoelasticityChangfuWei*,KanthasamyK.MuraleetharanSchoolofCivilEngineeringandEnvironmentalScien
2、ce,UniversityofOklahoma,202W.BoydStreet,Room334,Norman,OK73019-1024,USAReceived20April2002;accepted15May2002(CommunicatedbyA.BEDFORD)AbstractThemechanicalbehaviorofporousmediaislargelygovernedbytheinteractionsamongcoexistingcomponents.Theseinteractionsoccur
3、throughinterfaces.Inthispaper,acontinuumtheoryofmultiphaseporousmediaisdevelopedthatcanbeusedtocharacterizetheinteractionsamongvariouscomponents.Centraltothetheoryistheimplementationofthedynamiccompatibilityconditionsmicroscopicallyrep-resentingtheconstrain
4、tsonthepressurejumpsacrosstheinterfaces.Itisshownthatcapillaryrelaxationprocessesarethermodynamicallyassociatedwiththechangesinthevolumefractionsof?uids.Alinearmodelisdevelopedbyaformallinearizationoftheproposedtheory.Forfullysaturatedconditions,thelineariz
5、edtheoryreducestotheBiot’sporoelasticitymodel.Aproceduretoevaluatethematerialconstantsispresentedfortheporousmediawithtwo?uids.Thelinearmodelisutilizedtoanalyzethepropagationofacousticwavesinanunsaturatedrock.Thetheoreticalresultsarecomparedwiththeexperimen
6、taldataavailableintheliterature.ó2002ElsevierScienceLtd.Allrightsreserved.Keywords:Continuumtheory;Multiphaseporousmedia;Theoryofmixtureswithinterfaces;Dynamiccompatibilityconditionsoninterfaces;Poroelasticity;Acousticwave1.IntroductionStudyofthebehaviorofp
7、orousmediaisofgreatinterestinanumberofdiverse?elds,suchascivilandenvironmentalengineering,petroleumengineering,geophysics,chemicalengineering,*Correspondingauthor.Tel.:+1-405-325-4228;fax:+1-405-325-4217.E-mailaddress:wei-1@ou.edu(C.Wei).0020-7225/02/$-seef
8、rontmatteró2002ElsevierScienceLtd.Allrightsreserved.PII:S0020-7225(02)00068-X1808C.Wei,K.K.Muraleetharan/InternationalJournalofEngineeringScience40(2002)1807–1833andbiomechanics.Aporousmediumisanassemb
