均质储层球向渗流模型及其Laplace空间解  

Model of spherical flow through porous media in the homogenous reservoirs and Laplace space solution

作　　者：陈宗荣[1] 

机构地区：[1]西昌学院汽车与电子工程学院,四川西昌615013

出　　处：《成都理工大学学报（自然科学版）》2011年第6期641-644,共4页Journal of Chengdu University of Technology: Science & Technology Edition

基　　金：国家科技重大专项(2008ZX50443-14)

摘　　要：针对均质储层中球面径向渗流模型,利用Laplace变换,获得了在考虑井筒储集和表皮系数的井底条件和各种外边界(定压、封闭、无穷大)条件下的无量纲储层压力和井底压力的Laplace空间解,并剖析了解的相似结构和相似核函数的构成和固有特征。相似核函数仅与渗流基本微分方程的2个线性无关的解及外边界条件有关,而与内边界条件无关;解的相似结构式仅与内边界条件有关,而与外边界条件无关。This paper proposes a mathematic model for well test analysis which perfectly describes the spherical flow through porous media in the homogenous reservoirs with the bottom-hole storage and the skin effects and the three kinds of outer boundary conditions（infinite boundary,constant pressure,closed boundary）.By using the Laplace transform method,the solution of the dimensionless reservoir pressure and dimensionless bottom-hole pressure in Laplace space is got.The form and inherent characteristics of the similar structure and similar kernel function of the solution are analysed.The similar kernel function has something to do with the two linearly independent solutions of the differential equation of flow through porous media and the outer boundary conditions only,moreover,has nothing to do with the inter boundary condition.The similar structure of the solution has to do with the inter boundary conditions only,moreover,has nothing to do with the outer boundary conditions.

关 键 词：均质储层 球面径向渗流 LAPLACE空间解 相似结构 相似核函数 

分 类 号：O175[理学—数学] TE312[理学—基础数学]