Theoretical Analysis of Torsional Surface Wave in Regular and Irregular Earth's Surface

Abstract

Theoretical analysis of Torsional surface wave in regular and irregular Earth’s surface has been discussed in present thesis. For propagation of torsional wave, we utilized some specific mediums of the Earth with the impact of few parameters on phase velocity of torsional wave. Solution of governing equation of motion has been obtained by using separation of parameters method. The dispersion relations in anisotropic medium and porous medium have been obtained analytically. The standard dispersion relation of torsional surface wave have been gotten specifically in both discussed problems. The parametric impact on phase velocity of torsional wave is shown graphically by utilizing MATLAB software. This thesis contains three noteworthy chapters with addition of references towards the end. Chapter 1 exhibits the introduction for the appropriate problems. It gives the clarification of concentrates in the field of theoretical seismology. In Chapter 2, propagation of Torsional surface wave in anisotropic channel with regular surface has been talked about. We assumed the initial stress in anisotropic layer lying over semi-limitless channel. The presence of assumed parameters in obtained dispersion relation approved the scientific effect of these parameters on phase velocity of Torsional surface wave. The standard dispersion relation of Torsional wave have been gotten in specific cases which approves the problem. In Chapter 3, the propagation of Torsional surface wave in porous medium with irregular interface is explained. The parabolic irregularity at the interface of porous layer and homogeneous half-space has been taken in assumed geometry. The dispersion relation for Torsional surface wave propagation have been obtained in presence of porosity and irregularity parameters. The effect of porosity and irregular interface phase been noticed in the graphical section. The present study is useful in earthquake engineering and seismology.