Effect of Rigidity and Parabolic Irregularity on Love Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Layer Lying over a Nonhomogenous Half-Space

Abstract

This study investigates the behaviour of Love wave propagation within a transversely isotropic fluid saturated porous layer (TIFSPL) with rigid boundary, situated over a nonhomogeneous elastic half space. An irregularity in the shape of parabola is considered at the interface of porous layer and half space. The displacement vector and dispersion equation for propagation of Loves waves has been derived by applying Biot’s theory of elasticity, perturbation method, and Fourier Transformation method. The numerical results have been carried out to illustrate the variation of dimensionless phase velocity against dimensionless wavenumber with the help of MATLAB graphical routines for different values of inhomogeneity parameters and the ratio of depth of irregularity to the layer’s height. It has been observed that the derived dispersion equation for Love waves is affected by rigidity, wavenumber, depth of irregularity, height of layer, size and shape of irregularity, and inhomogeneity parameter. The findings from this study holds a significant importance in the field of seismology, geophysics and earthquake engineering.