Abstract
A numerical approach for free surface boundary formulation is proposed for simulation of surface waves in porous media, based on the Biot poroelastic model. A set of free surface characteristic variables for incoming and outgoing wave fields are set by domain decomposition for solid and fluid velocity and stress equations to account for the discontinuity of variables along the interface. A numerical example of a pseudospectral approach using Fourier and Chebyshev methods to compute the spatial derivatives along the horizontal and vertical directions, respectively and a splitting algorithm time solver accounting for the stiffness of the differential equations is presented to show the computional efficiency of the proposed method. In this study, we present a numerical algorithm that allows for the accurate simulation of surface wave propagation in porous media. The algorithm is based on an explicit treatment of interfaces. A decomposed domain is used for the wavefield at the interface to describe an incoming and an outgoing field for the medium based on characteristic variables that are evaluated for free surface boundary conditions (7) and has the
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