Abstract
In this paper, the medium parameters of the elastic wave equation in inhomogeneous medium are rewritten by introducing the referential variables and the perturbational variables, and the wave equation whose sources are the medium parameter perturbational term in homogeneous medium is obtained. By using the Green function theory, the integral equation of the perturbational parameters is obtained. Then the displacement field in homogeneous medium is considered the result of the first iteration, and the displacement field is solved by this integral equation. When the perturbations of medium parameters are about 50 percent, this method can solve the displacement field effectively. From the analysis of the numerical results, the characteristics of wave field in inhomogeneous medium are obtained. The results conform with the local principles of wave function in inhomogeneous medium.
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Yuqing, N., Xingrui, M. & Wenhu, H. The parameter perturbation method on elastic wave equation in inhomogeneous medium. Appl Math Mech 18, 623–628 (1997). https://doi.org/10.1007/BF00127010
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DOI: https://doi.org/10.1007/BF00127010