A Discrete Singular Convolution Method for the Seepage Analysis in Porous Media with Irregular Geometry

Abstract

A novel discrete singular convolution (DSC) formulation is presented for the seepage analysis in irregular geometric porous media. The DSC is a new promising numerical approach which has been recently applied to solve several engineering problems. For a medium with regular geometry, realizing of the DSC for the seepage analysis is straight forward. But DSC implementation for a medium with irregular geometry encounters some challenging issues. To overcome the difficulty, a novel DSC scheme for seepage analysis in irregular geometric porous media is proposed. There is no general analytical solution for the seepage analysis in irregular geometries; thus, the validation of the proposed algorithm is carried out by comparing the results with those from available numerical methods. Good agreement between the results shows that the proposed algorithm can be utilized in solving seepage analysis as a new approach.