其他摘要：This work presents and analyzes a _nite element procedure for the simulation of wave propagation in a porous solid saturated by a single-phase _uid. The equations of motion, formulated in the space-frequency domain, include dissipation due to viscous interaction between the _uid and solid phases and intrinsic anelasticity of the solid modeled using linear viscoelasticity. This formulation leads to the solution of a Helmholtz-type boundary value problem for each temporal frequency. For the spatial discretization, nonconforming _nite element spaces are employed for the solid phase, while for the _uid phase the vector part of the Raviart-Thomas-Nedelec mixed _nite element space is used. Optimal a priori error estimates for a standard Galerkin _nite element procedure are derived.
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