Velocity shift using the Rytov approximation
Velocity shift using the Rytov approximation
复制标题
使用 Rytov 近似的速度变换
DOI：
10.1121/1.423843
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发表时间：
1998
影响因子：
2.4
通讯作者：
Y. Samuelides
中科院分区：
文献类型：
--
作者：
Y. Samuelides
研究了声平面波在弱非均质随机平稳二维介质中的高频传播。波的视速度大于背景均匀介质对应的速度；这种差异被称为速度偏移。这种位移和表观速度的方差都是用Rytov近似计算的；给出了介质协方差为高斯时的显式公式。这使人们能够显示出位移和方差的几个性质，这些性质已通过对波动方程的一些数值实验加以说明。
The high-frequency propagation of acoustic plane waves in a weakly heterogeneous random stationary 2-D medium is considered. The apparent velocity of the wave is larger than the velocity corresponding to the background homogeneous medium; the difference is called velocity shift. Both this shift and the variance of the apparent velocity are calculated using the Rytov approximation; explicit formulas are given when the covariance of the medium is Gaussian. This enables one to show several properties of the shift and the variance, which are illustrated by some numerical experiments on the wave equation.