利用反射波横向相干函数进行高斯随机介质的随机反演
Stochastic inversion of Gaussian random media using transverse coherence functions for reflected waves
摘要：
地震波相位和振幅起伏的横向相干函数（TCF）可以用来估计随机非均匀性的空间发布、长度尺度和强度。然而，TCF仅针对透射波而不是针对反射波来制定。在本文中，我们推导出高斯随机介质的反射TCF。此外，我们建议使用基于网格搜索的反射TCF反演高斯随机介质。我们使用二维有限差分数值实验验证新的反射TCF公式。数值算例也说明了反演的可行性和有效性。利用反射波进行随机反演，既可用于勘探，也可用于全球地震。
英文摘要：
The transverse coherence functions (TCFs) of phase and amplitude fluctuations of a seismic wave are powerful to estimate the spatial distribution, length scales, and strength of random heterogeneities. However, TCFs have been formulated for transmitted waves only, not for reflected waves. In this paper, we derive reflection TCFs for Gaussian random media. Furthermore, we propose to invert for Gaussian random media using the reflection TCFs based on the grid search. We validate the new reflection TCF formulas using 2D finite-difference numerical experiments. The numerical example also illustrates the feasibility and efficiency of the inversion. The stochastic inversion using reflected waves can be used in both exploration and global seismology.
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