In a finite element formulation for dynamic soil-structure interaction, an absorbing boundary condition is needed to model wave propagation towards infinity. A lot of local and consistent absorbing boundary conditions have been presented in literature for wave propagation in dry elastic media. When the soil is saturated, its dynamic behaviour can be modelled by means of Biot's poroelastic theory. In this paper, a local absorbing boundary condition for wave propagation in saturated poroelastic media is implemented in an irreducible formulation for a compressible pore fluid. The weak Galerkin formulation associated with the hyperbolic boundary value problem can be obtained by proceeding along standard lines. The associated matrix problem is obtained by discretizing the domain into finite elements. Spurious reflections for oblique incident waves on the absorbing boundary contribute to the solution errors. Therefore, a spectral element method, based on classical analytical solution techniques, is used to assess the accuracy of the finite element formulation.

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