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Study of elastic wave propagation in two-phase anisotropic media by numerical modeling of pseudospectral method

机译:伪谱法数值模拟研究两相各向异性介质中弹性波的传播

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摘要

When there exists anisotropy in underground media, elastic parameters of the observed coordinate possibly do not coincide with that of the natural coordinate. According to the theory that the density of potential energy, dissipating energy is independent of the coordinate, the relationship of elastic parameters between two coordinates is derived for two-phase anisotropic media. Then, pseudospectral method to solve wave equations of two-phase anisotropic media is derived. At last, we use this method to simulate wave propagation in two-phase anisotropic media, four types of waves are observed in the snapshots, i.e., fast P wave and slow P wave, fast S wave and slow S wave. Shear wave splitting, SV wave cusps and elastic wave reflection and transmission are also observed.
机译:当地下介质中存在各向异性时,观测坐标的弹性参数可能与自然坐标的弹性参数不一致。根据势能,耗散能量的密度与坐标无关的理论,推导了两相各向异性介质在两个坐标之间的弹性参数关系。然后,推导了求解两相各向异性介质波动方程的伪谱方法。最后,我们使用这种方法来模拟波在两相各向异性介质中的传播,在快照中观察到四种类型的波,即快P波和慢P波,快S波和慢S波。还观察到剪切波分裂,SV波尖以及弹性波的反射和透射。

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