澳洲大学石油工程讲座1.3 inflow performance rev jan 2007

2InflowPerformanceRelationships(IPR)History•PIchangesintime,cumulativeproduction,increaseddrawdown•PIcurvenotnormallylinearforasolutiongasdrivefieldbecause:•Increasedfreegassaturation,loweringKro3•Nearwellboreathigherproducingrates•Andraisingµo•Changefromlaminartoturbulentflowincapillariesnearwellboreathigherproducingrates•ExceedingcriticalflowratesthroughporesatformationfaceInflowPerformanceRelationships(IPR)4•SimilarbehaviorwhenPwfdrawnbelowbubblepoint.•Plotproductionratevs.flowingbottomholepressurecalledInflowPerformanceRelationship(IPR)InflowPerformanceRelationships(IPR)5InflowperformancerepresentsabilityofwelltogiveupfluidsIPRcurvesforwaterdriveand/orpressureabovesaturationpressureessentiallyastraightlineIPRcurvesforsolutiongasdriveandflowbelowthebubblepointtocurveRelationshipofIPRtoProductivityIndex(PI)6IPRandPInotequivalentIPRisrelationshipbetweenflowingpressureandratePIrepresentsthespecialcasewhenPwfisgreaterthanthebubblepointRelationshipofIPRtoProductivityIndex(PI)7TypicalPerformance8Vogel’sWorkOfferssolutionindeterminingIPRforflowbelowbubblepoint(solutiongasdrive)ComputercalculatedIPRcurvesforfictitioussolutiongasdrivereservoirscoveringarangeofPVTproperties(mosterrorsshouldnotexceed10%-maximumerror@AOFP)9Vogel’sWorkValidfortwo-phaseflowinreservoironlyShowedhowIPRchangedwithcumulativerecoveryandeffectofviscosityandGOR10Resultedinreferencecurvewhere:Pwf=flowingbottomholepressurePR=averagereservoirpressure(volume-averagewithindrainagevolume)Q=totalliquid(oilandwater)producingrateofPwfQmax=Maximumproducingrateat100%drawdownDimensionlessPwf/PRversusQo/QmaxPlottedtoconstructVogel’sreferencecurveVogel’sWork11Solutionsforgivendatasetsarebasedon:PI=forPwfPbQoPR-PwfQmax-Qb=whereQb=QoforPwf=PbQ-QbQmax-Qb=1-.2-.8forPwfPbPwf2PbQpimax-Qb1.8PwfPb12IPRforSolution-GasDriveReservoirsRatio:,Q/QmaxProducingRateMaximumProducingRate13IPRCurvesforDamagedWellsProducingbySolution-GasDriveRatio:,Q/QmaxProducingRateMaximumProducingRate14GeneralIPRCurvesBasedonReservoirPropertiesAtPbandFE=1Ratio:,ProducingRateMaximumProducingRateWithoutDamageQQmax(forFE=1)15SevenMethodstoDrawanIPRCurveDependingonData16Known:PR,Pb,Q@PwfPbPI=QoPR-PwfQb=PIx(PR–Pb)Qpimax=PIxPRQmax=+QbQpimax-Qb1.8AtPwf=.75Pb,Q=.4(Qmax–Qb)+QbAtPwf=.5Pb,Q=.7(Qmax–Qb)+QbAtPwf=.25Pb,Q=.9(Qmax–Qb)+QbPlottoQmax17Known:PR,Pb,Q@PwfPbPI=QbPR-PbQpimax=PIxPRQmax=+QbQpimax-Qb1.8AtPwf=.75Pb,Q=.4(Qmax–Qb)+QbAtPwf=.5Pb,Q=.7(Qmax–Qb)+QbAtPwf=.25Pb,Q=.9(Qmax–Qb)+QbPlottoQmax-1PRPR-Pb-42+9PwfPb5-PwfPb9QQb=18Known:PR,Pb,PIQb=PIx(PR–Pb)Qpimax=PIxPRQmax=+QbQpimax-Qb1.8AtPwf=.75Pb,Q=.4(Qmax–Qb)+QbAtPwf=.5Pb,Q=.7(Qmax–Qb)+QbAtPwf=.25Pb,Q=.9(Qmax–Qb)+QbPlottoQmax19Known:PR,GLR=0,Q@PwfQpimax=PIxPRPlottoQpimaxPI=QPR-Pwf20Known:PR=Pb,Q@PwfAtPwf=.75Pb,Q=.4QmaxAtPwf=.5Pb,Q=.7QmaxAtPwf=.25Pb,Q=.9Qmax1-.2-.82QQmax=PwfPRPwfPR21Known:PR,2xQ@PwfTestprovesP1P2PbPlottoQ2onlyPI=QPR-PwfTest=Q1PR–P1=Q2PR–P222Known:TestprovesP1PbP3P1-3musthavewiderangeofvaluestocertainthisproof.ThefirstpartofIPRcurveforPwfPbisnearlystraightwiththesameslopeasthePIforPwfPb.Test=Q1PR–P1=Q2PR–P2Q3PR–P3PR,3xQ@Pwfand23AtPwf=.75Pb,Q=.4(Qmax–Qb)+QbAtPwf=.5Pb,Q=.7(Qmax–Qb)+QbAtPwf=.25Pb,Q=.9(Qmax–Qb)+QbPlottoQmaxQmax=+QbQpimax-Qb1.8Qpimax=PIxPRQb=PIx(PR–Pb)PI=Q1PR–P1P3pi–P3±(P3pi+7P3)(P3pi–9P3)8Pb=P3pi=9PR-Q3PI