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ID:7295621
大小:390.15 KB
页数:5页
时间:2018-02-10
《pore-scale viscous fingering in porous media》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、VOLUME55,NUMBER18PHYSICALREVIEWLETTERS28OCTOBER1985Pore-ScaleViscousFingeringinPorousMediaJing-DenChenandDavidWilkinsonSchlumbergerDol-lResearch,Ridgefieid,Connecticut06877(Received8July1985)Asimplecomputermodelofviscousfingeringinaporousmediumispresented,togethe
2、rwithexperimentalresultsforfingeringofoilintoglycerineinetched-glassnetworks.Themodeltreatsthemediumasasquarelatticeofconnectedtubeswithrandomlychosenradii.ByMonteCarlosimulationitisdemonstratedthatforanarrowsizedistributionoftubesthefingersformorderedpatterns(de
3、ndrites)withgrowthmostlyalongthecoordinateaxes,butforawidesizedistributionthefingersformachaoticstructurewithafractaldimensionaround1.72.Qualitativelysimilarbehaviorisseenintheexperiments.PACSnumbers:68.70.+wViscousfingeringinporousmediaisaphenomenonsharp,butrath
4、erthereexistsaregionofpartialsatura-whichresultswhenalessviscousfluidisdisplacingationsinwhichthemacroscopicflowbehaviorismoremoreviscousone;aplanarboundarybetweenthecomplexthanin(1).(2)Thesurfacetensioninafluidsisunstableagainstsmallperturbations,andinporousmedi
5、umdoesnotactviathemacroscopiccur-thecourseoftimetheinterfaceadoptsafingeredcon-vatureoftheinterfaceasin(2).Rather,attheporefiguration.Intheoilindustrythisviscousfingeringlevelitactsviathecurvatureofindividualmenisci,canbeaseriousproblemwhenoneistryingtodisplacean
6、datthemacroscopiclevelthroughthecapillarypres-aviscousoilbypumpingwaterintothereservoir(wa-surefunction.(3)TheclassicalHele-Shawfingeringterflooding),becauseitleadstopoorrecoveryoftheanalysisrequiresaperfectcell,whilenaturalporoushydrocarbon.Sinceinterfacialtensi
7、onprovidesasta-materialsareextremelydisordered.bilizingeffectatshortdistances,thefingeringofim-ThepurposeofthepresentLetteristoinvestigatemisciblefluidsinaporousmediumisusuallyamacro-thethirdissue—theeffectofrandomnessonthescopicphenomenoninwhichthefingersarelarg
8、efingeringprocess.Therandomnessinaporousmedi-comparedtotheporescale.Forthisreason,viscousumcanexistonmanyscales,fromtheporelevel(mi-fingeringinporousmediaisoft
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