Effects of frequency parameter due to elastic wave in monoclinic elastic medium

Abstract

The propagation of elastic waves has many applications especially in geophysics and engineering. They are used in the detection of notches and faults in different types of materials such as in railway tracks, buried landmines, seismic activities, and exploration of valuable materials such as minerals, crystals, natural gas, etc. When the seismic signal passes through different discontinuities inside the earth, the phenomena of reflection and transmission takes place. In this paper, the phenomenon of reflection and transmission of elastic waves due to incident qSV-wave at a corrugated interface between two different monoclinic elastic half-spaces are discussed. There exist an irregularly reflected and transmitted waves due to undulated nature of the interface, besides the regularly reflected and transmitted ones. Using Rayleigh's method of approximation, the expressions for the reflection and transmission coefficients of the regular and irregular waves are obtained. It is observed that these coefficients are functions of angle of incidence and elastic constants and they are greatly influenced by the frequency and corrugation parameter. For a special type of interface, x 3 = d cos px 2 we have computed these coefficients and discussed the effects of frequency parameter.