论文标题
使用横向相干函数的高斯随机培养基的随机反转用于反射波
Stochastic inversion of Gaussian random media using transverse coherence functions for reflected waves
论文作者
论文摘要
地震波的相位和振幅波动的横向相干函数（TCF）具有强大的功能，可以估计空间分布，长度尺度和随机异质性的强度。但是，仅针对传输波制定了TCF，而不是用于反射波。在本文中，我们为高斯随机培养基提供了反射TCF。此外，我们建议使用基于网格搜索的反射TCF倒入高斯随机介质。我们使用2D有限差异数值实验验证了新的反射TCF公式。数值示例还说明了反转的可行性和效率。使用反射波的随机反演可用于探索和全球地震学。
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.
