Analysis of reflection and transmission of three dimensional plane wave in an intermediate fluid layer embedded between two viscoelastic anisotropic semi-infinite media

Abstract

A unified approach is presented to study the nature of reflection and transmission of seismic waves in a concerned layered structure. The geometrical configuration of the layered structure comprised with a fluid layer of finite thickness embedded between two dissimilar viscoelastic anisotropic semi-infinite media. Analytical formulae are implemented to obtain the phase velocities of the corresponding medium. The generalized Snell’s law is used to compute the expression of amplitude ratios for the undertaken geometry. In order to solve the system of linear equations for amplitude ratio, Cramer’s rule has been applied. The analytical findings are demonstrated graphically and observed that the amplitude ratios are significantly influenced by viscoelasticity and anisotropy as well. Equations governing slowness section of the material medium is derived using constitutive equations. The outcomes provided novel information about the reflected and transmitted amplitude ratios which may further helpful in the field of geophysical exploration.