Statistical properties of reflection traveltimes in 3-D randomly inhomogeneous and anisomeric media
Statistical properties of reflection traveltimes in 3-D randomly inhomogeneous and anisomeric media
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DOI：
10.1046/j.1365-246x.2003.02006.x
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发表时间：
2003-09
影响因子：
2.8
通讯作者：
Y. Kravtsov;Tobias Malte Müller;S. Shapiro;S. Buske
中科院分区：
文献类型：
--
作者：
Y. Kravtsov;Tobias Malte Müller;S. Shapiro;S. Buske
总结我们研究了双通道效应（DPE）存在下的地震反射走时的统计特性，以表征反射层覆盖层的不均匀性。旅行时协方差函数的详细分析是针对比Touati，Looss和Gaerets等人的开创性工作更一般的条件提出的，即3-D几何形状、介质参数的准均匀波动、各向异性（即统计各向异性波动）、接收器的纵向和横向位置以及弯曲射线。走时协方差函数的行为阐明了一些数值例子。它示出，特别是，在大偏移量的有效纵向相关尺度与射线轨迹是远远大于横向相关尺度和它们的产品等于产品的相关长度的波动的介质。
SUMMARY We study the statistical properties of seismic reflection traveltimes in the presence of the double-passage effect (DPE) in order to characterize the inhomogeneities of the reflector overburden. A detailed analysis of the traveltime covariance function is presented for more general conditions than in the pioneering works by Touati, Iooss and Gaerets et al., namely 3-D geometry, quasi-homogeneous fluctuations of the medium parameters, anisomeric (i.e. statistically anisotropic fluctuations), longitudinal and transversal positions of receivers, and curved rays. The behaviour of the traveltime covariance function is elucidated by some numerical examples. It is shown, in particular, that at large offsets the effective longitudinal correlation scale associated with the ray trajectory is much larger than the transverse correlation scale and their product equals the product of the correlation lengths of the fluctuations of the medium.