Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.
Citation:
Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.
Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.
Citation:
Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.
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 medtam is obtained By usingthe Green function theory, the integral equation of the perturbational parmeters is obtained. Then the displacement field in homogeneous medium is considered the resultof the first iteration, and the displacement fisld is solved by this integral equation.When the perturbations of medium paranteters are about 50 percent, this method cansolve the displacement ficld effectirely. 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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