Waves in stratified anisotropic poroelastic media: a transfer matrix approach

The problem of propagation of waves in multilayered anisotropic poroelastic medium is studied using the technique of transfer matrix. The model consists of a stack of anisotropic poroelastic solid layers overlying an anisotropic elastic solid layered half-space. The whole layered medium is lying under fluid half-space. The transfer matrices for anisotropic poroelastic layer and anisotropic elastic solid layer are derived. Using these matrices, reflection and transmission coefficients for the waves propagating in considered multilayered model are evaluated. The interface between the two stacks is considered to be imperfect and modified boundary conditions are applied thereat. Numerical computations are done for a particular model. The effects of porosity, anisotropy of the layers, thickness of the layers and imperfect bonding are studied on the wave propagation through the considered model. The results indicate that anisotropy of half-space is a very dominant property influencing the reflection–refraction phenomenon. Also, it is noticed that the imperfection of interface is accompanied by the dissipation of energy and the interface acts as an absorbing boundary.