Effective Solution for Raleigh-Type Waves in Randomly Inhomogeneous Medium

摘要

The paper is concerned with the effective solution for Rayleigh-type waves in randomly inhomogeneous layer overlying a homogeneous half-space. The considerations are confined to the correlation theory. The method is based on the idea of a fundamental matrix for the system of differential equations. Neglecting third-order correlations, the system of coupled two second-order integro-differential equations for the average displacements is obtained. The system is solved by the Laplace transform. Using boundary and continuity conditions, the particular solution is obtained.