eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2015-02-02 3 1 17 22 10.12691/ajams-3-1-4 AJAMS2015314 article Mei Luo 1 Shunchu li lishunchu@163.com 1 Dongdong Gui 2 School of Mathematics and Computer Engineering, Xihua University, Chengdu, China Beijing Dongrunke Petroleum Technology Co.,Ltd., Beijing, China 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. http://pubs.sciepub.com/ajams/3/1/4/ajams-3-1-4.pdf composite reservoir boundary value problem nonlinear spherical seepage similar structure of the solution similar kernel function