Abstract:Some crystallized or fractured media show anisotropy relating to elastic wave propagation. This character can be described by both particle motion equation and stress-strain constitutive equation (i. e. the generalized Hooke's law)which are derived from elastic wave theory. Elastic wave propagation in anisotropic medium is simulated by solving the equation system with the aid of Fourier numerical method (pseudo-spectrum method).We offer the simulation algorithm, and analyse the characters of elastic wave fields in anisotropic medium and isotropic medium respectively. It is found that under some conditions, qS wave front in anisotropic medium often branches, which is called "the effect of three times". We also discuss the restraint condition under which the effect occurs. In simulating the medium anisotropy due to fractures, we can find that qS wave may be more effective than qP wave in indicating whether fractures are filled with fluid.
谢桂生, 包吉山. 横向各向同性介质中弹性波模拟及波场特征研究[J]. 石油地球物理勘探, 1996, 31(6): 806-814.
Xie Guisheng, Bao Jishan. Elastic wave simulation and the wave field character study in azimuthal isotropic medium. OGP, 1996, 31(6): 806-814.