A theory of porous media and harmonic wave propagation in poroelastic body

Abstract

Abstract The present work is based on a mixture theory of poroelastic media which is consistent with the classical Darcy’s law and uplift force in soil mechanics. In addition, it also results in having an inertial effect on the motion of solid constituent as commonly expected, in contrast to Biot’s theory, where relative acceleration is introduced as an interactive force between solid and fluid constituents to account for the apparent inertial effect. The propagation of plane harmonic waves in homogeneously deformed region is considered. For different poroelastic models with either incompressible solid or incompressible fluid constituent, phase speeds and attenuation coefficients are analysed and numerically determined with convenient data from a nonlinear material model for comparison with some available results in the literature.