多层复合油藏渗流模型解的相似结构  

Similar Structure of Seepage Model Solution for Multilayer Composite Reservoir

作　　者：王强[1] 李顺初[1] 胡明[1] 

机构地区：[1]西华大学应用数学研究所,成都610039

出　　处：《重庆工商大学学报（自然科学版）》2015年第8期71-75,92,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：四川省教育厅自然科学重点项目资助(12ZA164)

摘　　要：考虑井筒储集和表皮效应的影响,在不同外边界(无穷大、封闭、定压)的条件下,建立多层复合油藏的数学模型;经过Laplace变换,解出多层复合油藏在相应的Laplace空间中的精确解;经过分析,得到多层复合油藏在内外区储层压力分布的Laplace空间解的相似结构;解的相似结构对于分析解的内在规律、编制试井分析软件和研究油气藏渗流规律有着深远的影响。In Consideration of the influence of the bottom-hole storage and the skin effect, the mathematicalmodel of muhilayer composite reservoir is established under the different outer boundary （infinity, closed, constantpressure） conditions. By using the Laplace transform, the exact solution of multilayer composite reservoir isobtained in the corresponding Laplace space. By analysis, the similar structure of Laplace space solution of reservoirpressure for muhilayer composite reservoir is obtained in the inside and outside region. The similar structure ofsolution has a far-reaching influence on analyzing inherent law of solution, compiling of well test analysis softwareand researching the laws of the reservoir seepage.

关 键 词：多层复合油藏 井筒储集 表皮效应 相似结构 相似核函数 

分 类 号：O29[理学—应用数学]