The Simulation Study of Inversion of Two—Dimensional Elastic Wave Equation with Two Variable
The inversion of acoustical wave equation has been widely researched recently. But in the application of geophysics and nondestructive testing, the elastic wave equation is more similar to real situation. And because of the complexity of the vector equations of elastic wave, it is only when considering special kind of medium or wave that we could obtain satisfactory result. For instance, M. A. Hooshyar et al.only considered the inversion of SH wave. Because SH wave can not produce the P wave or SV wave, they essentially tranform the vector equation into scalar equation. As SH wave only could reconstruct the density and the shear modulus of the elastic medium, we must consider the inversion of P wave if we want to know Lamé constant.
KeywordsScattered Field Vector Equation Lame Constant Diffraction Tomography Elastic Wave Equation
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