SH-wave propagation in heterogeneous media: velocity-stress finite-difference method
SH-wave propagation in heterogeneous media: velocity-stress finite-difference method
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DOI：
10.1071/eg984265a
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发表时间：
1984-12
影响因子：
0.9
通讯作者：
J. Virieux
中科院分区：
文献类型：
--
作者：
J. Virieux
本文提出了一种新的有限差分法（FD），用于模拟一般非均匀介质中SH波的传播。该方法在离散网格中同时使用速度和应力。密度和剪切模量同样离散化，避免任何空间平滑。因此，边界将在隐式公式下正确建模。对标准问题（四分之一平面传播、沉积盆地传播）进行了研究，并与其他方法进行了比较。最后，一个更复杂的例子（双层介质中的盐丘）显示了横向传播对地表记录的地震图的影响。总是与入射波同相的角波和首波会出现，这将给通常的垂直偏移方法的解释带来严重的问题。
A new finite-difference (FD) method is presented for modeling SH-wave propagation in a generally heterogeneous medium. This method uses both velocity and stress in a discrete grid. Density and shear modulus are similarly discretized, avoiding any spatial smoothing. Therefore, boundaries will be correctly modeled under an implicit formulation. Standard problems (quarter-plane propagation, sedimentary basin propagation) are studied to compare this method with other methods. Finally a more complex example (a salt dome inside a twolayered medium) shows the effect of lateral propagation on seismograms recorded at the surface. A corner wave, always in-phase with the incident wave, and a head wave will appear, which will pose severe problems of interpretation with the usual vertical migration methods.