Body waves propagation in a fluid-saturated transversely isotropic poroelastic solid with a potential method

Abstract

This study is focused on the propagation of plane harmonic body waves in a transversely isotropic linear poroelastic fluid-saturated medium in the framework of simplified p  u formulation. A set of two scalar potential functions is employed to decouple the coupled fluid continuity equation and equations of motion, wherever the governing equations for the potential functions are resulted in the form of either scaled wave motion or a combination of repeated wave motion and transport equation. The velocities and corresponding attenuation coefficients of both longitudinal and transverse waves are extracted from the acoustic equations for the body waves. To show the validity of the analytical solution given in this paper, degeneration to the case of a single-phase transversely isotropic, and consequently isotropic solid is presented to provide interesting comparisons with the solutions reported in the literatures. In addition, the effects of mechanical and hydraulic parameters of materials on the velocity of propagation and attenuation coefficient of the waves are investigated in more detail. To this end, various synthetic poroelastic transversely isotropic materials are defined, and the dependency of wave motion to these parameters is illustrated by plotting the graphs.

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

“…(5) discussed effect of gravity and initial stress on Love waves at the interface of porous layer and heterogeneous half-space. (6) investigated plane harmonic wave propagation in fluid saturated transversely isotropic solid using potential method. Novel spectral element procedure has been used by (7) in finding the response in multi-layered structures with respect to moving load.…”