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首页 低渗非达西渗流调查半径计算方法

低渗非达西渗流调查半径计算方法.pdf

低渗非达西渗流调查半径计算方法

yassblue
2012-03-20 0人阅读 举报 0 0 暂无简介

简介:本文档为《低渗非达西渗流调查半径计算方法pdf》,可适用于工程科技领域

�收稿日期�基金项目中国石油天然气集团公司石油科技中青年创新基金项目(E)。�作者简介王新海(),男,年大学毕业,博士,教授,现主要从事油藏工程方面的教学与研究工作。低渗非达西渗流调查半径计算方法��王新海�(油气资源与勘探技术教育部重点实验室(长江大学),湖北荆州)��秦世勇�(塔里木油田分公司,新疆库尔勒)��刘�洪�(长江大学地球科学学院,湖北荆州)��阮�洋�(塔里木油田分公司,新疆库尔勒)摘要科学开发低渗透油气田是中国石油工业发展的重要战略方向之一。要开发好低渗透油气田,首先应正确认识其储层特征和渗流规律,正确地进行渗流力学计算,制定合理的开发方案。调查半径有若干个用途,帮助解释压力恢复或压力降落曲线的形状,并可以利用调查半径来估计测试到所要求的地层范围需要的时间。从低渗非达西渗流流动方程出发,利用稳态依次替换法得到了求解低渗非达西渗流调查半径计算方法。关键词低渗非达西渗流调查半径稳态依次替换法启动压力梯度中图分类号TE文献标识码A��文章编号()由于达西定律表示压力损失完全由粘滞力决定,而流体在低渗透介质中渗流时的压力损失不完全表现为粘滞阻力,因此不服从达西定律。同时,由于在渗流开始时,有效过水断面在不断变化,而不符合达西线性阻力定律。低渗透介质中不符合达西定律的流体流动称为低渗非达西渗流。到年底,中国已探明未动用的低渗透油田储量约为��t。因此,科学开发低渗透油气田是中国石油工业发展的重要战略方向之一。要开发好低渗透油气田,首先应正确认识其储层特征和渗流规律,正确地进行渗流力学计算,制定合理的开发方案。国外早在世纪年代就已研究了低渗透渗流,得出结论:牛顿液体在低渗透介质中的渗流遵循非线性渗流规律。��图�低渗透非线性渗流规律�启动压力梯度国外对基本理论问题研究不多。国内在�八五�期间进一步证实了低渗透渗流为非达西渗流。�九五�期间,做了近百次实验,还进行了理论研究,李道品教授用非达西渗流的观点研究得出了对低渗透油气田开发有指导作用的认识。大量实验结果表明,低渗透非线性渗流规律如图所示。对于大量实验得出的低渗透渗流规律,如何用数学方程表示,以使低渗透非线性渗流研究从定性分析到定量分析及二者的结合呢目前,低渗透非线性渗流数学模拟采用了下面近似的简化模型:��v=�K��pG|�p|���p>Gv=���p�G��石油天然气学报(江汉石油学院学报)�年月�第卷�第期JournalofOilandGasTechnology(J�JPI)�Oct��Vol��No�或者:��v=�K�(�pG)���p>Gv=���p�G式中,v为渗流速度,msK为渗透率,�m�为粘度,mPa�s�p为压力梯度,MPamG为启动压力梯度,MPam。�利用稳态依次替换法求调查半径所谓调查半径是指一口井中流量瞬时脉冲在地层中引起的压力扰动的距离。在不稳定试井分析和设计中,调查半径有若干个用途,帮助解释压力恢复或压力降落曲线的形状,并可以利用调查半径来估计测试到所要求的地层范围需要的时间。稳态依次替换法是在解决一系列有关不稳定渗流问题时,常把不稳定渗流过程的每一个瞬间状态看作是稳定的。下面从低渗非达西渗流理论和稳态依次替换法出发,给出低渗非达西渗流调查半径的计算公式。设圆形等厚地层中心一口生产井,当井投产后,形成的压力降逐渐向外传播,设t时刻压力降传到ri处,在ri范围内形成压降漏斗。因此ri是随着时间逐渐增大的。渗流方程:��r��rr�p�rG=()边界条件:r=rw,p=pwr=ri,p=pi。式中,r为地层测试点半径,mrw为井筒半径,mri为调查半径,mp为测试点处地层压力,MPapw为井筒处地层压力,MPapi为原始地层压力,MPa。从式()中解出地层压力:��p=clnrGrc��(c,c为常数)()代入求解出:��c=pipwG(rirw)lnrirw()��c=pwlnripilnrwG(rilnrwrwlnri)lnrirw()地层每点压降就可以计算出来:���p=pip=clnrGrc�()��c�=(pipw)lnriG(rilnrwrwlnri)lnrirw()设油井定产量生产,日产量为q,平面径向流稳定流动产量与调查半径关系:���q��hK=pipwG(rirw)lnrirw()将式()分别代入式()、()中消去pi、pw,得到:��c=�q��hK()��c�=�q��hKlnriGri()地层中由于弹性能得到释放,地层压力从pi变成p,从地层中采出的流体质量总量为:��第卷第期王新海等:低渗非达西渗流调查半径计算方法����M=�rirw�rh���dr=�rirw�rh�Ct�pdr()���M�=�rirw�rh�Ct�pdr()按日产量q生产t时间后,根据质量守恒定律:���M�=qt()式中,h为地层厚度,mq为日产量,mdt为测试时间,h�M为流体流出质量,kg�为地层流体密度,kgm�为孔隙度,无量纲Ct为综合压缩系数,MPa�p为压降,MPa��为密度改变量,kgm。将式()代入到式()得:��qt�h�Ct=�rirwr�q��hKlnrGr�q��hKlnriGridr()���rirwrlnrdr=rilnrirwlnrw(rirw)()由于rw相对于ri可以忽略,略去rw后得:��qt�h�Ct=�q��hKriGri()两边同时除以ri项的系数,得到:����hKG�qriri=�Kt��Ct()这是一个一元三次方程,可以直接使用求根公式求解,得到调查半径。�结��语低渗非达西渗流调查半径不能简单地直接套用VanPoollen公式,笔者从低渗非达西渗流流动特征入手,借助稳态依次替换法求解得到了低渗非达西渗流调查半径的计算公式。参考文献罗赛虎,徐维生�低渗非达西渗流研究综述J�灾害与防治工程,,():~�邓英尔�低渗油藏非线性渗流规律数学模型及其应用J�石油学报,,():~�王祖文,王新海�压力敏感地层调查半径方程J�石油天然气学报,,():~�葛家理�油气层渗流力学M�北京:石油工业出版社,�~�编辑�苏开科���石油天然气学报(江汉石油学院学报)年月theresearchandproductioninpetroleumexplorationanddevelopment�Keywords:formationdamagepreventionsealingdynamichightemperaturehighpressureevaluationsealingandleakingpreventingdrillingfluidcompletionfluidApplicationofANewDeconvolutionAlgorithminWellTestAnalysisZHAOHongbing�(ShengliOilProductionPlant,ShengliOilfieldCo�Ltd�,SINOPEC�,Dongying,Shandong,China)Abstract:Inallusiontotheproblemofapplicationofageneraldeconvolutionalgorithm,anewdecovolutionalgorithmbasedonanewlinearoptimizationwasproposed,itallowedtohavebigerrorsininputdata�Thenewdeconvolutionalgorithmisusedforwelltestinterpretation,theresultshowsthatthemethodcanbeusedtolengthenthedetectingradiusofashutinwellandisbeneficialfordiagnosingtheexistenceofouterboundary�Keywords:deconvolutionnonlineartestdatawelltestinterpretationStudyonMultiagentSystemModelingforDrillingandWellControlSimulationWANGWuli,WANGYanjiang,YANGHua,SONGYuanyuan�(CollegeofInformationandControlEngineering,ChinaUniversityofPetroleum,Dongying,Shandong,China)Abstract:Inviewofthecharacteristicsoftheoildrillingandwellcontrolprocessandtheexistedproblemsoftraditionalsimulationsystem,anewagentbasedintelligentanddistributedwellcontrolsimulationmodelwasestablishedbasedonMultiAgentSystem(MAS)�Bymeansofautonomous,cooperativeandreactivecharacteristicsofagent,thewellcontrollawsandphenomenoncouldbereflectedpromptlyandaccuratelyunderanycircumstances�TheMASmodelingforoildrillingandwellcontrolsimulation,thestructureandknowledgerepresentationofeachagentandthecommunicationamongagentsweredescribedindetail�Anagentbasednormaldrillingwellcontrolsimulationtrainingexamplewasgiven�Thesimulationresultsshowthatthemultiagentbasedsimulationmechanismhasbetterperformancethanthatoftraditionaldrillingsimulators,andenhancestheintegratedtrainingfunctionofthewellcontrolsimulationsystem�Keywords:drillingsimulatorwellcontrolsimulationagentmultiagentsystemmodelingTheOilfieldMeasureStructuralOptimizationModelofMultipleCriteriaandMultipleConstraintLevelsanditsApplicationZHONGYihua,ZHAOLei,ZHANGGaoliang�(CollegeofSciences,SouthwestPetroleumUniversity,Chengdu,Sichuan,China)Abstract:Inconsiderationoftheproblemsofvariouscomplexfactorsintheoilfieldexploitationsystemanduncertaintiesofresourceconstraintlevelsandseveraldecisionmakersinoilfielddevelopmentplan,theproblemofoilfieldproductionoutputdistributionwasstudiedbytheexpansiontheoryandmethodofmultipleobjectivelinearprogrammingthetheoryandmethodofmultiplecriteriaandmultipleconstraintlevellinearprogramming�Andanoptimizationmodelofoilfieldproductionoutputdistributionwasestablished,itsobjectivesweremaximizingoutputandtotalbenefitside�Comparedwiththoseoldmodels,thetightsideofconstraintconditionsofthemodelwasnotfixed�Basedontheparticularityofthemodel,thesolutionmethodwasdesignedbyinteriorpointapproachofthemultiplecriteriaandmultipleconstraintlevellinearprogramming�Thatis,themodelwasdividedintothesamenumbermultipleobjectivelinearprogrammingaccordingtotheconstraintlevel,thecorrespondingnondominatedsolutionwasderivedwithinteriorpointmethodofmultipleobjectivelinearprogrammingtoestablishthesolutionoftheoriginalmodel�Theresultsshowthatthemodelandmethodcansolvesuccessfullytheproblemoftheoilfieldproductionoptimizationdistributionwhentheresourceconstraintlevelsarenotfixedorchangeableattheoilfieldproductionoptimizationstage,andprovidethecontingencyplanfordecisionmakers�Keywords:developmentprogrammingimprovedproductionmultiplecriteriaandmultipleconstraintlevelslinearprogrammingoptimizationmodelResearchonMixedForecastModelofOilfieldProductionOutputBasedonGreySystemandNeuralNetworkMALiping�(CollegeofPetroleumEngineering,SouthwestPetroleumUniversity,Chengdu,Sichuan,ChinaDagangOilfieldCo�Ltd�,Tianjin,China)RENBaosheng�(DagangOilfieldCo�Ltd�,CNPC,Tianjin,China)Abstract:Agreypredictingmodelwascombinedwithneuralnetworktoestablishamixedpredictingmodelforoilfieldproductionprediction�Greypredictionwasdominatedinthemethod,theneuralnetworkwasusedforcompensatingtheprediction�Itsoperationprocedureincludedthatthegreypredictingmodelwasestablished,inwhichtherulesofoilfieldproductionvariationandeffectofinfluencialfactorvariationinproductionoutputwereconsidered,theneuralnetworkwasdeployedtorecognizetheunknownthecorrelationbetweenthegreypredictedvalueandactualproductionoutput,calibratethepredictedvalueobtainedwithgreypredictingmodel�Applicationshowsthatthemethodcanbedeployedforgreatlyimprovingtheprecisionofgreypredictingmodelandexpandingitsapplicationrange�Keywords:greysystemartificialneuralnetworkoilfieldproductionoutputpredictingmodeloilfielddevelopmentInvestigationRadiusCalculationofNonDarcyFlowinLowPermeabilityMediaWANGXinhai�(KeyLaboratoryofExplorationTechnologiesforOilandGasResources(YangtzeUniversity),MinistryofEducation,Jingzhou,Hubei,China)QINShiyong�(TarimOilfieldCompany,PetroChina,Korla,Xinjiang,China)LIUHong�(CollegeofGeosciences,YangtzeUniversity,Jingzhou,Xinjiang,China)RUANYang�(TarimOilfieldCompany,PetroChina,Korla,Xinjiang,China)Abstract:DevelopinglowpermeabilityoilandgasfieldscientificallywasoneoftheimportantstrategiesofthedevelopmentofChina�spetroleumindustry�Toeffectivelydeveloplowpermeabilityoilandgasfield,thereservoircharacteristicsandseepageflowlawshouldbecorrectlyunderstood,thenseepagemechanicshouldbecalculatedcorrectlyandareasonableplanwasmade�Investigationradiuswaswidelyusedforexplainingthecurveshapeofpressurebuildupandpressuredrop,anditalsocouldbeusedforestimatingthetesttimewhenrequiredstratumrangewasreached�BasedontheflowequationofnonDarcyflowinlowpermeabilitymedia,theinvestigationradiuscalculationofnonDarcyflowinlowpermeabilitymediaisgainedbyusingthemethodofsteadystatesuccessivedisplacement�Keywords:nonDarcyflowinlowpermeabilitymediainvestigationradiusthemethodofsteadystatesuccessivedisplacementstartingpressuregradientOntheRemainingOilandTappingthePotentialbyUsingHorizontalWellsinNgReservoirwithEdgeandBottomWaterWANGBuer�(CollegeofGeosciences,ChengduUniversityofTechnology,Chengdu,Sichuan,ChinaDepartmentof�

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低渗非达西渗流调查半径计算方法

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