中国石油大学（华东）本科毕业设计（论文）3本科毕业设计（论文）基于有限差分的油水两相渗流方程求解学生姓名：学号：专业班级：指导教师：2012年06月20日中国石油大学（华东）本科毕业设计（论文）摘要为了保证油藏的稳定产油量以及最终采收率，以获得最大的经济效益，必须对油藏的压力以及饱和度等参数进行监控，因而需要对油藏进行模拟，以确定合适的开采时间、注水量、开采速度等问题，因而油藏数值模拟对于提高油田效益是至关紧要的。油水两相渗流方程描述了原油开发过程中的油水两相流动过程，是一对耦合的偏微分方程，针对这组方程采用有限差分方法实现其数值求解，以对油藏的压力、饱和度进行即时监控。本文应用隐式压力——显式饱和度解法（IMPES方法）来对油藏油水两相一维渗流进行模型建立与求解，这一方法来自于Sheldon等人，以及Stone和Gardner的著作，基本思想是合并流体方程得到一个只含有压力的方程，某一时间步的压力求解出来后，饱和度采用显式更新。经过Matlab编写程序，实现对一维油水两相渗流方程的数值求解。关键词：油水两相；有限差分；压力；含水饱和度；油藏模拟ABSTRACTDisplacingoilbywaterisalwaysusedintheexploitationoftheoilreservoir.Inordertoobtainthemaximumeconomicbenefits,theparametersofreservoirpressureandsaturationshouldbemonitoredtoensurethestabilityofoilproductionandtheultimaterecoveryofthereservoir.Thusthereservoirmustbesimulatedsoastodeterminetheappropriaterecoverytime,waterinjectionrateandrecoveryrate.Itisnecessarytoestablishtheoil-watertwo-phaseflowmodelfortheoil-watertwo-phaseflowequation,coupledpartialdifferentialequations,candescribetheoil-watertwo-phaseflowintheprocessofcrudeoildevelopment.Achievingthenumericalsolutionaccordingtothisgroupofequationsandusingthefinite-differencemethodcandorealtimemonitoringforreservoirpressureandsaturationsothatappropriatemeasurescouldbetakentoensuretheminingofoilproductioninhighefficiencyandsustainable.Inthisthesis,implicitpressure-explicitsaturationsolution(IMPESmethod)whichisinventedbySheldon,etc.andfromworksofStone’sandGardner’sisappliedforthebuildingandsolvingofreservoir’sone-dimensionalwater-oiltwo-phaseseepagemodel.TThebasicideaiscombiningthefluidequationstoachieveaequationwhichcontainsonlythepressure.Aftersolvingthepressureattheverytimeandstep,thesaturationwillbedisplayedupdated.WritingprogramsthroughMatlab,one-dimensionalwater-oiltwo-phaseseepageequationswouldbesolvedKeywords:water-oiltwophase;finitedifference;pressure;watersaturation;reservoirsimulation目录TOC\o"1-3"\h\uHYPERLINK\l_Toc12840第1章前言PAGEREF_Toc128401HYPER