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American Journal of Applied Mathematics and Statistics. 2015, 3(1), 17-22
DOI: 10.12691/AJAMS-3-1-4
Original Research

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

Mei Luo1, Shunchu li1, and Dongdong Gui2

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

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

Pub. Date: February 02, 2015
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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

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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