The equation LV = f (1), where L is the linear differential operator involving randomly variable field parameters, V the field vector and f the source term, is considered. An integro-differential equation governing the mean field quantity < V > is derivable by use of smooth perturbation technique [1]. The kernel of the deterministic operator equation is the Green's tensor appropriate to the field equations representing the granular elastic medium. This is evaluated in the form of Fourier integrals in the frequency space; the exact evaluation is carried out to obtain the 36 components of the Green's tensor. The problem of wave propagation in the random granular elastic medium is then carried out with the help of the Green's tensor. Theoretical and also numerical computational analyses are carried out to explain the effect of random inhomogeneities of the medium on the propagation of waves. It has been shown that the body waves attenuate as they propagate in the medium.
展开▼
