3D hierarchical -FEM applied to elasto-acoustic modelling of layered porous media (original) (raw)

3D hierarchical hp FEM applied to elasto-acoustic modelling of layered porous media

Journal of Sound and Vibration, 2005

This paper presents a 3-D hierarchical (p-version) finite element description of the solid displacement–fluid displacement form of Biot's equation for elasto-acoustic modelling of multiple-layered isotropic porous media.The convergence related to mesh refinement extensions for different orders of polynomial approximation is briefly discussed for a homogeneous foam. The highest computational efficiency for reasonable levels of the error in the low-frequency region

A Finite Element Method For The Approximation Of Waves In Fluid Saturated Poroviscoelastic Media

2005

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.