Pore Modeling Extending The Hanai-Bruggeman Eq...英文文献资料

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1、SPWLAThirtiethAnnualLoggingSymposium,June11-14,1989..,,,.POREMODELING:EXTENDINGTHEEANAI-BRUGGEMANEQUATIONM.T.MyersAbstractThetechniqueofporecombinationmodeling(PCM)isextendedtoincludeconductiveinclusions.Conductiveinclusionsaremodeledsimilartopreviouslypublishe

2、dwork(Myers1989)exceptDthattheHanai-BruggemanequationisusedinsteadoftheArchi.eequation.Modelsforlaminatedanddispersedclayconductionaredevelopedwhichincorporatetheeffectsofclaygeometry.Thesemodelsshowthattheconductivityi.sintimatelyrelatedtothegeometryoftheclays

3、forboththelaminatedanddispersedcases.Themodeldevelopedfordispersedclaysexplainstheincreaseintheeffectiveclay-counterionmobilitywithincreasingsalinityasacouplingbetweentheconductivityoftheclaysandtheconductivityofthebrine.Italsodemonstratesthattheshapeofthecondu

4、ctivitycurvedependsontheratioofintergranulartoisolatedclayporosity.IntroductionThedepositionalhistoryandlithologyofrocksareimportantfactorsindeterminingtheirpetrophysicalproperties.Rocks..,,exhibitstructureonmanydifferentlengthscales.Suchasthedifferentconductio

5、npropertiesoflaminatedanddispersedclays.Includingthistypeofstructureisimportanttoaccuratelymodelrockproperties.ThisisdonebyasimpleextensionoftheHanai-Bruggemanequation.TheHanai-Bruggemanequation(Bruggeman1932,Hanai1968)isbasedonaneffectivemediumapproximation.In

6、thisapproximationasinclusionsareaddedtoahostitisassumedthatthehostpropertiesmaybeapproximatedbytheaveragepropertiesofthemixture.Longerlengthscalesarethereforeimplicitlyincludedasmorematerialisadded(Merideth,Tobias1962).Weusethisshiftingoflengthscalestoadvantage

7、indevelopingmodels.Itdeterminestheorderthegeologicfeaturesareadded,thosewithlongerlengthscalesareaddedafterthosewithshorterones.InthederivationoftheHanai-Bruggemanequationadifferentialequationisobtainedforthedielectricconstantofamixtureofsmallamountsofaninclusi

8、oninahost.ThisequationisintegratedovertheadditionofasingleinclusiontoobtaintheHanai-Bruggemanequation.Weallowformultipledistinctlithologychangesbysuccessiveapplicationofthed