Abstract
In this study, a root-finding absorbing boundary condition (RFABC) for wave-propagation problems in infinite poroelastic media is developed. In order to express the boundary condition in terms of local temporal operators in the time domain, poroelastic media with infinite permeability are assumed and dynamic motions in the media are described using four scalar potentials for two dilatational and two rotational waves. The four potentials can be expressed in terms of three independent non-dispersive P1, P2, and S waves. The existing approach of an RFABC for scalar waves is then applied to each wave component and the desired boundary condition for poroelastic waves is derived. The accuracy and stability of the developed boundary condition are verified at the continuous level. Its discretized version is formulated using the finite-element approach and stability at the discrete level is proved. The proposed numerical approach is applied to wave-propagation problems in a poroelastic waveguide. It is demonstrated that the developed boundary condition can produce accurate and stable results for problems in poroelastic media with finite as well as infinite permeability.
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