Propagation of Rayleigh Wave in Sandy Media with Imperfect Interface

Dinesh K Madan; Naveen Kumar

Dinesh K Madan Department of Mathematics, Chaudhary Bansi Lal University, Bhiwani, Haryana, India
Naveen Kumar Department of Mathematics, Chaudhary Bansi Lal University, Bhiwani, Haryana, India

Keywords: Rayleigh wave, Sandy layer, Imperfect interface, Dispersion equation, Phase velocity.

Abstract

In the present study, the propagation of Rayleigh wave in a sandy layer overlying a sandy semi-infinite media is investigated, with the interface considered imperfect. Expressions for displacement components are obtained. The dispersion frequency equation is derived using suitable boundary conditions. In particular cases, when interface is perfect and elastic media replace sandy media are also discussed. The effects of imperfectness and sandy parameter on the Rayleigh waves’ phase velocity are investigated using MATLAB software. The theoretical results obtained may find useful applications in geophysics, civil engineering and soil mechanics

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