Computation of the Transient Flow in Zoned Anisotropic Porous Media by the Boundary Element Method

Summary

In this paper, we present new developments in the application of the BEM to the transient two-dimensional flows in zoned anisotropic porous media, including the iterative determination of the free surface seepage position. We justly introduce the classical BEM equations, for the transient porous media potential flows, using a finite difference in time. We then discretize them by linear, quadratic or cubic elements and use special singular numerical quadrature rules. We finally improve the method by the addition of a sub-region division, and develop special compatibility equations on their multiple intersection nodes. All these techniques improve the result accuracy and allow to avoid the typical oscillation problems described in the literature. Examples are presented, where we study the discretization effect on the convergence of the iterative solving.