某985科研高校的英文版渗流课件

MicromodelinPorousFlow,WHOAREWE?,Prof.LauraPyrak-Nolte,PurdueUniversityJamesMcClurePh.D.Student,NorthCarolinaUniversityMarkPorterPh.D.Student,OregonStateUniversityHongkyuYoonResearchScientist,UniversityofIllinoisatUrbana-ChampaignFatmirLikramaPh.D.Student,UniversityofTexasAustinBurcuUyusurPh.D.Student,UniversityofIllinoisatChicagoShivamTripathiPh.D.Student,PurdueUniversityWenhaoWangPh.D.Student,UniversityofTexasatAustin,Outline,IntroductionExperimentImageAnalysisNumericalModelConclusion&Suggestions,MicroscaleMultiphasePhysics,Pc=PnPw,Threephase(wns)systems,(2002),Capillarypressure-Saturation-InterfacialArea(Pc-S-IAV)relation,Traditionalclosurerelationshipassumescapillarypressureisafunctionofsaturationalone,leadingtothehystereticmoisturefunction,HeldandCelia(2001),Hysteresis,ContactAngleHysteresisbetweendrainageandimbibition,Snap-offofnonwettingphaseduringimbibition,Influenceoflocalfluidconfigurationonpore-fillingduringimbibition,OVERVIEWOFEXPERIMENT,PhotoprojectionlithographyDisplacementmeasurementsImageAnalysis,SamplePreparationPhoto-ProjectionLithography,Thin(1.08microns),transparentphoto-sensitivepolymer(photoresist),Photo-ProjectionLithography,Photo-ProjectionLithography,ExperimentalSet-up,TwopressuresensorstomonitorinputandoutputpressuresAvideocamerainterfacedtoanopticalmicroscopetoimagethetwophasedisplacementexperiments.,DisplacementMeasurements,1-Initialsaturationwithdecane(wettingphase)throughoutlet2-Introductionofnitrogen(non-wettingphase)throughinletbypressure3-Aftereachpressureincrementthesystemwasallowedtoequilibriate4-Beforenitrogenbreakthrough,thepressurewasreducedstepwisetoretreatnitrogenfromthesystem,ImageAnalysis,FunctionalrelationshipbetweenCapillaryPressure,SaturationandInterfacialArea,InthecontextofMicroModelData,Doesthereexistsucharelationship?Isituniquei.e.SameforDrainageandImbibition?Canitexplainbothprimaryandscanningcurves?,3.Whatisitsnature(complexorsimple)?4.Isitcomplete?,Analyticmodelforsoilcharacteristiccurve,vanGenuchtenModel,vanGenuchtenModel,vanGenuchtenModel,Assumption,AnalyticalformofvanGenuchtenModelholdsforbothprimaryandscanningcurveswithonesetofparameters.Whatitneedsisanadditionalvariable.,AddedVariablePlot,oDrainage,WettingFluidSaturation,InterfacialAreaPerUnitVolume:(logtransformed),CapillaryPressure,*ImbibitionoDrainage,WettingFluidSaturation,InterfacialAreaPerUnitVolume:(logtransformed),CapillaryPressure,InterfacialAreaApproach,Computeeachinterfacewithingridcubes(asintheMarchingCubes)Componentinterfacesextractedfromisosurfacesusingtwodatasets,Mask,TwoPhaseData,Result:,KeyIssues:,InterfacesrunparalleltoeachotherMeshalignmentmakesitdifficulttodistinguishbetweenwn,wsinterfacesmaybemoreaccuratetocomputeinterfacesinadifferentwayIsovaluedetermination,QuantificationofPoreSpace,ExtractinformationfromthemaskwhichallowstoaccessinformationneededtoconstructanetworkmodelConnectivityLocationofporesandthroatsSizeofPoresandthroats,QuantificationofPoreSpace,ComputethesolidsurfaceusingtheMCalgorithmEvaluatethesigneddistancefunction-localmaximacorrespondtopores,GradientofSignedDistanceFunction,ObtainRelativeMaxima,UsesigneddistancefunctionanditsgradienttocomputepartialHermitepolynomialasalocalapproximationNewtonsMethodtosearchformaxima,RelativeMaxima,TheLongRoadAhead,UselocalmaximatoconstructskeletongraphTopologicalcharacterizationoftheporespaceNetworkmodelimplementationandcomparisonwithexperimentalresults,InvasionPercolationModel,Poreradiigeneratedrandomlyforeachlatticesite.Noinformationabouttheporegeometry.Couldusestatisticalrepresentationofpores(i.e.poresizedistribution,connectivity,etc).Relativelyeasytocode(20linesorso).Canextractusefulinformationwithoutdetailedknowledgeofporegeometry(powerlawbehavior,fractals,etc),CapillaryPressureVs.Saturation,NetworkModeling,Construct“simple”rulesforflowthroughporebodiesandthroats.LaplacesLaw.Contactangleconsiderations.Needdetailedinformationaboutporespace.Construct“,MyTooWeakModel,Euclidiandistancefromsolidtoestimateporebodyradii.Usecirclestofillporebodies.Needmoreinformationaboutthethroats(