合采油藏试井分析解的相似结构  

Similar structure of pressure distribution in the multilayer reservoir

作　　者：李顺初[1] 郑鹏社[1] 张宇飞[1] 

机构地区：[1]西华大学应用数学研究所,四川成都610039

出　　处：《高校应用数学学报（A辑）》2009年第2期234-238,共5页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家"九五"重点攻关项目:"新疆塔里木盆地沙雅隆起多影响因素试井分析理论及解释方法研究"部分成果(96-111-03-01-07)

摘　　要：针对合采油藏,建立了考虑井筒储集和表皮效应和三种外边界(无穷大,定压,封闭)条件下的试井分析模型;利用Laplace变换,在Laplace间中得到了储层压力和井底压力分布的精确解;经全面和深入的分析,发现了描述该类油藏在三种外边界条件下的渗流特征的解式之间具有的相似结构,并作了进一步的讨论.这项研究,极大地方便了试井分析软件的编制,对油气藏渗流规律的理论研究也具有深远的意义.This paper proposes mathematic model of well test analysis for perfectly describing the multilayer reservoir with bottom-hole storage, skin effects and three kinds of outer boundary conditions （infinite boundary, constant pressure outer boundary and closed boundary）. By using the Laplace transform method, the solutions of the dimensionless pressure and dimensionless bottom-hole pressure in Laplace space are obtained. The similar structure of the solution＇s form in three kinds of outer boundary conditions is achieved through deep analysis of its characteristics. The research is convenient to design the well test analysis program, and is also a favorable development of flow theory of fluids in porous media.

关 键 词：合采油藏 井筒储集 表皮效应 外边界条件 LAPLACE空间解 相似结构 

分 类 号：O29[理学—应用数学] O357.3[理学—数学]