THE PARAMETER PERTURBATION METHOD ON ELASTIC-WAVE EQUATION IN INHOMOGENEOUS-MEDIUM

In this paper, the medium parameters of the elastic wave equation in i nhomogeneous medium are rewritten by introducing the referential varia bles and the perturbational variables, and the wave equation whose sou rces are the medium parameter perturbational term in homogeneous mediu m is obtained. By using the Green function theory, the integral equati on of the perturbational parameters is obtained. Then the displacement field in homogeneous medium is considered the result of the first ite ration, and the displacement field is solved by this integral equation . When the perturbations of medium parameters are about 50 percent, th is method can solve the displacement field effectively. from the analy sis of the numerical results, the characteristics of wave field in inh omogeneous medium are obtained. The results conform with the local pri nciples of wave function in inhomogeneous medium.