Wave propagation in poro-elastic materials using a shifted cell method for theory of Biot

Abstract

In this paper, we propose a weak formulation for the Biot theory of poro-elastic materials to calculate the dispersion properties of non-trivial realization of porous material. This formulation considers the periodicity within the field variables which are solid displacements and pressure in pores, resulting in a quadratic eigenvalue problem in terms of wavenumber.