Influence of Parabolic Irregularity, Inhomogeneity, Initial Stress, and Anisotropy on Love Wave Propagation

Abstract

This study represents a comprehensive approach to propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogeneous half-space with irregularity at the interface. The irregularity has been taken in the form of a parabola and the displacement field in porous layer is obtained by using perturbation method. The dispersion equation has been derived for the considered model by using Biot’s theory of elasticity. Numerical simulated results have been plotted graphically with the help of MATLAB for different values of inhomogeneity parameter, anisotropic factor and initial stress and it has been observed that the phase velocity of the Love wave is influenced by various parameters such as the ratio of the depth of the irregularity to the width of the medium, wave number, initial stress, anisotropy factor and the shape of the irregularity. The findings of this study hold relevance in various fields, including materials science, geophysics and structural engineering.