Perturbation Solution of Non Linear Seepage Problem in Porous Media
Liang Bing,Xue Qiang,Liu Xiaoli
(Department of Mechanics and Engineering Sciences, Liaoning Technical University , Fuxin, 123000)

Abstract: Considering the relationship of the infiltration parameter (permeability and porosity) of deformation porous media with pore pressure, which obeys a negative exponent approximation, a mathematic model is established about seepage problem in porous media. In this nonlinear numerical model, the integral transform is adopted and the perturbation analytic solution is obtained. Furthermore, t he comparison analysis with constant infiltration parameter show that the influence on seepage due to the change of infiltration parameters focuses on the middle stage and he evening stage. It provides a theoretical approach for studying the model parameter of non linear seepage problem in porous media. 
Keyword: non linear seepage, infiltration parameter, perturbation solution.