Simulation of propagation of dynamic perturbations in porous media by the grid-characteristic method with explicit description of heterogeneities

Wave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of porous heterogeneities is considered. The method of overlapping meshes is proposed for an explicit description of heterogeneities. The arising systems of partial differential equations are solved numerically by applying the grid-characteristic method. The features of the method are discussed, the proposed algorithms are verified, and a series of test computations is conducted.