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Propagation of Love waves in a void medium over a sandy half space under gravity

Patra P., Gupta A. K., Kundu S.

Acta Geophysica

2017

Vol. 65, no. 2

269--274

The present study investigates the propagation of Love wave in a void layer resting over a sandy half space under the effect of gravitational force. The equations of motion have been gathered separately for different layers, and the boundary conditions have been introduced for two different layers at their interface. The mathematical analysis of the problem has been dealt with the help of Whittaker’s function by expanding it asymptotically up to linear terms. The study reveals that in such a situation there exist two different wave fronts for the two abovementioned layers: one is for the effects of gravity and sandy parameters, whereas other is for the effect of void parameter.

Rayleigh wave propagation: A case wise study in a layer over a half space under the effect of rigid boundary

Kumar Vishwakarma S., Gupta S.

Archives of Civil and Mechanical Engineering

2014

Vol. 14, no. 1

181--189

In the present paper, case wise studies have been made to investigate the existence of Rayleigh surface wave in an earth's crustal layer. In the first case, the layer has been kept sandwiched between a rigid boundary plane and a sandy half space, while in the second case the sandy half space has been replaced by an elastic half space with void pores. The dispersion relation has been deduced in both the cases subjected to certain boundary conditions. The phase velocity has been calculated numerically and the effect of sandy parameter, rigid boundary, wave number, inhomogeneity parameter and void parameter on it has been illustrated and displayed by means of graphs. It has been found that the phase velocity of Rayleigh wave is greater when the half space is porous and elastic instead of dry sandy. GUI (graphical user interface) has been developed using MATLAB and a screenshot has been presented in the paper.