Impact of Irregularity, Initial Stress, Porosity, and Corrugation on the Propagation of SH Wave

Abstract

The present model is established to analyze the characteristics of SH wave propagation in a fluid-saturated porous layer interfaced between a corrugated heterogeneous layer and an orthotropic half-space under an initial stress. The combined effect of two distinct types of irregular boundary, that is, a rectangular form of irregularity at the common interface and a corrugated upper boundary, on the propagation of SH waves has been undertaken and seems to be an innovative idea. The dispersion equation has been obtained by imposing compatible boundary conditions employing Fourier transformation and first-order perturbation techniques. The prime goal of this study is to analyze the impact of corrugation, initial stress, depth ratio of two layers, porosity, and irregularity on the propagation of SH waves. Some special cases are deduced that agree with the pre-established result; one particular case reduces to the classical case that validates the undertaken study. In addition, some noteworthy factors are assessed graphically. The authors have used the software MATHEMATICA for graphical representation and mathematical determination to solve systems of equations throughout the manuscript. The results obtained from this study will be useful to geophysicists, seismologists, and civil engineers for the design and construction of sensors, as well as for undertaking nondestructive testing.