简介：Sphericalsymmetryconvective-dispersivetransportofatracerorcontaminantfromcontinueandsluginjectionwellinsemi-infiniteporousmediaisofsignificance,especiallyforthetracertestinhugethickformation.Thepartialequationdescribingthetransportprocessbelongstoconfluenthypergeometricequation.WithvariablesubstitutionandLaplacetransform,thepartialequationmaybecovertedWeberequationandit’ssolutionisrepresentedbyparaboliccylinderfunction.Wefoundtheanalyticalsolutionbyanalyticalinversion.Besides,wealsoobtainedtheearly-timeandlate-timeapproximatesolution.Inthepaperwecomparedthesesolutionsandinvestigatedthebasiccharacteristicsofconcentrationdistributionandchange.Inearly-timeandlate-timetheapproximatesolutionisofsignificance.

简介：Theeffectofwettabilityonpolymerbehaviorinporousmediaisinvestigatedthroughaseriesofsyntheticpolymerfloodsconductedinwater-andoil-wetBentheimandBereasandstonecores.Anewexperimentalsetupisusedinwhichthecoreeffluentpolymerconcentrationsarenotmeasuredduringpolymerflooding,butinsteadarepassedthroughacapillarytubethatisconnectedtothecoreoutlet.Usingthenotionofintrinsicviscosity,anapproximateexpressionispresentedthatcanbeusedtodeterminethebreakthroughtimeoftheinjectedpolymersolution.Inaddition,polymeradsorption,inaccessibleporevolume,andapparentviscositiesareevaluatedforallcoresandwettingconditions.Ingeneral,inthepresenceofresidualoil,theoil-wetcoresdisplaythelowestdegreeofpolymerretention(Berea)andthelowestinaccessibleporevolume-IPV(Bentheim).ThelargestwettabilityimpactonthepolymerbehaviorinporousmediaappearstobefortheBereaformation;polymerretentioninoil-wetcoresdecreases90%andIPV52%comparedtothecorrespondingamountsforthewater-wetones.Ontheotherhand,theestimatedpolymerretentionandIPVvaluesappeartobesimilarfortheoil-andwater-wetBentheimcores,thisisattributedtoquestionablewettabilityalteration.

简介：Astochasticsimulationoffluidflowinporousmediausingacomplexvariableexpressionmethod(SFCM)ispresentedinthispaper.Hydraulicconductivityisconsideredasarandomvariableandisthenexpressedincomplexvariableform,therealpartofwhichisadeterministicvalueandtheimaginarypartisavariablevalue.ThestochasticseepageflowissimulatedwiththeSFCMandiscomparedwiththeresultscalculatedwiththeMonteCarlostochasticfiniteelementmethod.InusingtheMonteCarlomethodtosimulatethestochasticseepageflowfield,thehydraulicconductivityisassumedinthreedifferentprobabilitydistributionsusingrandomsamplingmethod.Theobtainedseepageflowfieldisexaminedthroughskewnessanalysis,andtheskeweddistributionprobabilitydensityfunctionisgiven.TheheadmodevalueandtheheadcomprehensivestandarddeviationareusedtorepresentthestatisticsofcalculationresultsobtainedbytheMonteCarlomethod.ThestochasticseepageflowfieldsimulatedbytheSFCMisconfirmedtobesimilartothatgivenbytheMonteCarlomethodfromnumericalaspects.TherangeofcoefficientofvariationofhydraulicconductivityinSFCMislargerthanusedpreviouslyinstochasticseepageflowfieldsimulations,andthecomputationtimeisshort.TheresultsprovedthattheSFCMisaconvenientcalculatingmethodforsolvingthecomplexproblems.

简介：Three-dimensionalseepageindoublefracturedmediawasmodeledinthispaper.Thedeterminationofhydraulicconductivitytensorofrockmassisavitalproblemfortheseawaterintrusionorseawaterencroachmentandseepageoffissuredmedium.Accordingtothegeologicalandhydrogeologicalconditionsforthe2nd-stageconstructionoftheThreeGorgesProject(TGP),thephysicalandmathematicalmodelsforthegroundwatermovementthroughthe3Ddoublefracturedmediaofrockmassduringconstructionwereestablishedinthispaper.Basedondiscontinuity-controlinversetheory,somerelatedparametersofdoublefracturedmediawereinversedwithfluxbeingtheknownquantityandcalibrationofwatertabletheobjectivefunction.Synchronously,theseepagefieldoftheconstructionregionwassystematicallyanalyzedandsimulated,theresultsofwhichexhibitthatthedoublefracturedmediamodeloffracturewatercancomprehensivelyandcorrectlydescribethegeologicalandhydrogeologicalconditionsintheconstructionregion.

简介：Anumericalsimulationisperformedforthermalinstabilityandheattransferofviscoelasticfluidsinboundedporousmediaunderthebottomconstantheatfluxboundarycondition.Theresultsforsixdifferentcombinationsofrelaxationandretardationtimesdemonstratetheexistenceofthethermalinstabilityinducedflowbifurcation.Itisfoundthattheincreaseoftherelaxationtimecanenhancetheheattransferefficiencybydisturbingthefluidflowandfacilitatingthebifurcation.Theincreaseoftheretardationtimecanstabilizetheflowandpostponethebifurcation,leadingtosimplerflowpatternandlowerheattransferrate.

简介：AGalerkinfiniteelementformulationisdevelopedforthenumericalsimulationofwaterflowinvariablysat-uratedporousmedia,Picardalgorithmisusedtodealwithseverelynonlinearfieldproblems.Thealgorithmisfor-mulatedforarbitraryquadrilateralelementswhichcanaccommodatecomplexgeometry.Anew"influencecoeffi-cient"techniqueisdevelopedwhichcanbeusedtocomputeelementmatricesinasimpleandefficientmanner.Thistechniqueavoidsnumericalintegrationandleadstoasubstantialsavingofcost.Twoexamplesarepresentedtoverifytheproposedmethod.

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