SH wave scattering by a frozen porous inclusion in fluid-saturated porous media using two approaches: wave function expansion and boundary element method

Abstract

Summary This paper presents SH wave scattering by a frozen porous inclusion embedded in fluid-saturated porous media. We propose two computational methods, wave function expansion (WFE) and boundary element method (BEM), for wave scattering analyses. In WFE formulation, the components of displacement and stress are expressed by the superposition of the Bessel functions. The unknown coefficients in the expression are obtained via boundary conditions. On the other hand, in BEM formulation, boundary values of the frozen porous media are expressed by generalized displacement and traction. The generalized displacement consists of displacement components of the solid skeleton and the ice matrix, and the generalized traction is composed of the traction components of the two solid phases. Several numerical examples provide the validity of the proposed methods and the properties of the scattered waves. The discussion of the scattering properties focuses on the effects of ice saturation parameter, frequency of harmonic incident wave, the incident angle of the harmonic wave and the shape of the inclusion.