Effect of Inhomogeneity and Triangular Irregularity on Propagation of Shear Waves in an Anisotropic Porous Layer

Abstract

This paper examines the effects of several parameters such as phase velocity, wavenumber, heterogeneity, and triangular irregularity on the propagation of shear waves in a transversely anisotropic fluid-saturated porous layer situated over a heterogeneous elastic half-space. The triangular irregularity has been taken at the interface of half space and the layer. The dispersion equation for the considered model has been derived by applying Biot’s theory of elasticity, perturbation method and Fourier transformation techniques. The obtained dispersion equation for shear waves has been plotted graphically with the help of MATLAB software for various parameters. The dimensionless phase velocity has been plotted against the dimensionless wave number for different parameters such as anisotropic factor, ratio of the irregularity’s depth with the layer’s height, and inhomogeneity parameter. It has been concluded that the phase velocity of shear waves is strongly influenced by different value of inhomogeneity parameter, anisotropy factor and the ratio of the depth of the irregularity with the height of the layer. From numerical calculations, it is observed that when the wavenumber increases, the phase velocity decreases for some instant, then increases sharply and after that it decreases constantly. The findings of this study are valuable for the researchers who are working in the field of seismology, solid mechanics, geophysics and special in context of propagation of waves.