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Rayleigh waves in a two-layer heterogeneous medium

DEPARTMENT OF MATHEMATICS BANGABASI COLLEGE, CALCULTA-9 India

Abstract

The possibility of propagation of Rayleigh waves in an incompressible crust of constant density and rigidity varying exponentially with depth lying on (i) a semi-infinite incompressible homogeneous medium and (ii) a semi-infinite compressible homogeneous medium is studied in this paper. The variation of rigidity is assumed as , where b and ß are constants. To fix ideas we suppose that the crust has the thickness 37.5 km. in which the rigidity increases exponentially from 2.747 x 10¹¹ to 4.53 x 10¹¹ dynes/cm² over the ultrabasic material of infinite depth in which the rigidity is constant and equal to 6.47 x 10¹¹ dynes/cm². Frequency equations and their numerical solutions are obtained in both the cases. The results thus obtained are compared with the results derived from those given by Newlands.

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