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1、JournalofPorousMedia,18(1):4356(2015)MODELINGTHENONLINEARFLOWBEHAVIORFORHORIZONTALWELLPRODUCTIONINANUNDERGROUNDPOROUS-MEDIAFORMATIONCongLu,Ren-ShiNie,Jian-ChunGuo,&Dan-LingWangStateKeyLaboratoryofOil&GasReservoirGeologyandExploitation,SouthwestPetrole
2、umUniversity,Chengdu0086.610500,SichuanProvince,People’sRepublicofChina?AddressallcorrespondencetoRen-ShiNieE-mail:nierenshi2000@126.comOriginalManuscriptSubmitted:5/15/2014;FinalDraftReceived:8/14/2014Inthiswork,thenonlinear?owmodelforhorizontalwellpr
3、oductioninanundergroundporous-mediaformationwas?rstlyestablishedandsolvedusingLaplacetransform.Aseriesofstandardlog-logtypecurvesofpressuretransientsforhorizontalwellproductionindifferentformationswereplotted,suchasin?niteformation,closedformation,edge
4、-water-drivingformationandbottom-water-drivingformation.Nonlinear?owbehavior,includingmain?owregimesanddynamicresponseofpressurewavetodifferentboundaries,werethoroughlyanalyzedusingtheplottedtypecurves.Qualitativeandquantitativeanalyseswereimplementedt
5、ocomparethesolutionsofthelinearandnonlinearmodels.Theresultsshowedthatthenonlinearitycausedbythequadraticpressuregradientin?uencedthepressuretransientspositivelyandthenonlinear?owmodelwilldescribethetransient?owbehaviorforhorizontalwellproductioninunde
6、rgroundporous-mediaformationsmoreaccurately.KEYWORDS:nonlinear?owhorizontalwellundergroundformationpressuretransientsquadraticpres-suregradient1.INTRODUCTIONIn1996,theanalyticsolutiontothenonlineardiffusionequationwiththequadraticpressuregradientbycon-
7、The?uid?owsinporousmediawereprovedtobeofsideringaconstantcompressibilityof?uidwasderivednonlinearity(AkyildizandSiginer,2011;Finjord,1990;(JelmertandVik,1996).In1998,thesolutionsbetweenGaikwadandKouser,2012;GiachettiandMaroscia,linearandnonlinearmodels
8、werecompared(Odehand2008;Liangetal.,2001;Suniletal.,2009).Thenon-Babu,1998)andaspecialnonlinearmodelforvariable-linear?owmodelswiththequadraticpressuregradientratewelltestswasespeciallyresearched(Braeuningettermforwellproductioninunderg
