Phase Velocity of Love-Type Waves in a Periodic Irregular Anisotropic-Layered Substratum

Abstract

The present study has been carried out to investigate the transference of Love-type surface waves in an anisotropic heterogeneous earth-crust lying over an isotropic layer and an isotropic inhomogeneous bedded half-space. The rigidities and densities have been assumed varying as a function of depth in both the media. These variations are exponential in the layer while in the half-space, they are the product of linear algebraic function and an exponential function of depth. Following the theory of elastic waves, the mathematical model has been established. Separation of variable has been employed to obtain the displacement in the layer and the half-space. Intrinsic boundary conditions have been imposed to obtain the dispersion equation. It has been found that the dispersion equation is a function of inhomogeneity parameters as well as the initial stress and the term that governs the irregularity of the structure. Graphical representations have been performed to exhibit the findings, which clearly shows the significant impact of these parameter on the phase velocity of Love-type surface waves.