摘要
针对复合油藏,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 composite 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 solution＇s form in the three kinds of outer boundary conditions passing through deeply analyses its characteristics. Furthermore, more discussion is taken. The research is convenient to design well test analysis program, and it is also a deep development of flow theory of fluids in porous media.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第3期23-28,共6页
Mathematics in Practice and Theory
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
关键词
复合油藏
井筒储集
表皮效应
外边界条件
LAPLACE空间解
相似结构
composite reservoir
bottom-hole storage
skin effects
outer boundary conditions
solution of Laplace space
similar structure
