A Study about Solving the Nonlinear Spherical Seepage Model of Three-Area Composite Reservoir

Mei Luo¹, Shunchu li^1, and Dongdong Gui²

¹School of Mathematics and Computer Engineering, Xihua University, Chengdu, China

²Beijing Dongrunke Petroleum Technology Co.,Ltd., Beijing, China

Cite this paper:
Mei Luo, Shunchu li and Dongdong Gui. A Study about Solving the Nonlinear Spherical Seepage Model of Three-Area Composite Reservoir. American Journal of Applied Mathematics and Statistics. 2015; 3(1):17-22. doi: 10.12691/ajams-3-1-4

Abstract

This paper studies the nonlinear spherical seepage model of three-area composite reservoir under three kinds of outer boundary conditions (infinite boundary, constant pressure boundary and closed boundary) which not considering well-bore storage and skin factor. On the basis of similar structure of solution for differential equation’s boundary value problem, this paper obtains the solution of the nonlinear spherical seepage model of three-area composite reservoir. The study not only benefits to understand the inherent laws of the solution, but also provides the convenience to compile corresponding test software.

Keywords:
composite reservoir boundary value problem nonlinear spherical seepage similar structure of the solution similar kernel function

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