MODELING THE NONLINEAR FLOW BEHAVIOR FOR HORIZONTAL WELL PRODUCTION IN AN UNDERG

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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,thenonlinearflowmodelforhorizontalwellpr

3、oductioninanundergroundporous-mediaformationwasfirstlyestablishedandsolvedusingLaplacetransform.Aseriesofstandardlog-logtypecurvesofpressuretransientsforhorizontalwellproductionindifferentformationswereplotted,suchasinfiniteformation,closedformation,edge

4、-water-drivingformationandbottom-water-drivingformation.Nonlinearflowbehavior,includingmainflowregimesanddynamicresponseofpressurewavetodifferentboundaries,werethoroughlyanalyzedusingtheplottedtypecurves.Qualitativeandquantitativeanalyseswereimplementedt

5、ocomparethesolutionsofthelinearandnonlinearmodels.Theresultsshowedthatthenonlinearitycausedbythequadraticpressuregradientinfluencedthepressuretransientspositivelyandthenonlinearflowmodelwilldescribethetransientflowbehaviorforhorizontalwellproductioninunde

6、rgroundporous-mediaformationsmoreaccurately.KEYWORDS:nonlinearflowhorizontalwellundergroundformationpressuretransientsquadraticpres-suregradient1.INTRODUCTIONIn1996,theanalyticsolutiontothenonlineardiffusionequationwiththequadraticpressuregradientbycon-

7、Thefluidflowsinporousmediawereprovedtobeofsideringaconstantcompressibilityoffluidwasderivednonlinearity(AkyildizandSiginer,2011;Finjord,1990;(JelmertandVik,1996).In1998,thesolutionsbetweenGaikwadandKouser,2012;GiachettiandMaroscia,linearandnonlinearmodels

8、werecompared(Odehand2008;Liangetal.,2001;Suniletal.,2009).Thenon-Babu,1998)andaspecialnonlinearmodelforvariable-linearflowmodelswiththequadraticpressuregradientratewelltestswasespeciallyresearched(Braeuningettermforwellproductioninunderg