Influence of Initial Stress and Inhomogeneity on Propagation of Torsional Type Surface Wave in a Crustal Layer

Abstract

This article explores the propagation of torsional type surface waves in an initially stressed inhomogeneous layer of finite thickness lying over an inhomogeneous half-space. Inhomogeneity in this layer is caused by hyperbolic variation in directional rigidities, density, and initial stress. Inhomogeneity in the half-space is caused by linear variation in rigidity and density. The inhomogeneity parameter and the initial stress play major roles in the propagation of torsional type surface waves. This research derives the dispersion relation of the phase velocity in a concrete form using separation of variables and numerically calculates the velocities of torsional type waves as a function of dimensionless wave number.