Propagation of G-type seismic waves in heterogeneous layer lying over an initially stressed heterogeneous half-space

The aim of present paper is to investigate the propagation of G-type seismic waves in a heterogeneous layer overlying a heterogeneous half-space under initial stress. Exponential variations in rigidity and density have been taken in the upper layer. In the lower half-space both rigidity and density are varying with depth. Dispersion equation has been obtained in closed form. Dispersion equation in case of homogeneous media coincides with the general equation of Love wave. Curves are plotted for different values of inhomogeneity parameters and initial stress parameter. We have seen that the phase velocity decreases with the increase of inhomogeneity parameters. It is observed that initial stress has dominant effect on the propagation of G-type wave. Variation in group velocity has shown for different values of initial stress parameter. We have also drawn surface plots of group velocity with respect to wave number and depth parameter for different values of initial stress parameter.