Wave propagation in heterogeneous layers of the Earth

This paper represents the analytical and numerical study of the propagation of horizontally polarized shear wave in two inhomogeneous layers lying over an isotropic homogeneous semi-infinite elastic medium. The inhomogeneity of the upper layer is caused by the exponential variation of rigidity and density with the depth, whereas the second layer exhibits inhomogeneity due to quadratic variation in rigidity of the medium. The dispersion relation has been obtained in closed form using Debye asymptotic expansion which is the major highlight of this study. The comparative study and some important peculiarities have been revealed by means of graphical illustrations.