均质油气藏试井分析解的相似结构  

The similar structure of pressure distribution in the homogenous 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：《纯粹数学与应用数学》2006年第4期459-463,共5页Pure and Applied Mathematics

基　　金：国家"九五"重点攻关项目(96-111-03-01-07)"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

摘　　要：针对均质油气藏,建立了考虑井筒储集、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Lap lace变换,在Lap lace空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,发现了描述该类油气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 for well test analysis of perfectly describing the homogenous reservoir with the bottom-hole storage and the skin effects and the three kinds of outer boundary conditions （infinite boundary, constant pressure outer boundary and closed boundary）. By using the Laplace transform method, the solution of the dimensionless pressure and dimensionless bottom-hole pressure in Laplace space is got. It is discovered to the similar structure of the solutionrs form in the three kinds of outer boundary conditions passing through-＇deeply analyses its characteristics. Furthermore, more discussion is taken. The research is convenitent to design well test analysis program, and it is also a deep development of flow theory of fluids in porous media.

关 键 词：均质储层 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]