多层复合油藏渗流模型解的相似结构

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。

Similar Structure of Seepage Model Solution for Multilayer Composite Reservoir

In Consideration of the influence of the bottom hole storage and the skin effect, the mathematical model of multilayer composite reservoir is established under the different outer boundary (infinity, closed, constant pressure) conditions. By using the Laplace transform, the exact solution of multilayer composite reservoir is obtained in the corresponding Laplace space. By analysis, the similar structure of Laplace space solution of reservoir pressure for multilayer composite reservoir is obtained in the inside and outside region. The similar structure of solution has a far reaching influence on analyzing inherent law of solution, compiling of well test analysis software and researching the laws of the reservoir seepage.