Depth migration of imaged time sections
Depth migration of imaged time sections
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DOI：
10.1190/1.1441212
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发表时间：
1981-05
期刊：
影响因子：
3.3
通讯作者：
K. Larner;L. Hatton;B. Gibson;I. Hsu
中科院分区：
文献类型：
--
作者：
K. Larner;L. Hatton;B. Gibson;I. Hsu
当覆盖层速度横向变化时，没有一种主要的地震剖面偏移方法--基尔霍夫求和法、有限差分法或频域法--容易地将地震反射偏移到它们的适当位置。对于非均匀介质，局部埋入散射体的衍射曲线不再是双曲线，其峰值从散射体正上方的位置横向移动。哈布勒观察到，基尔霍夫求和方法是在紧急的“图像射线”位置成像地震数据，而不是在散射体上方的所需位置。此外，衍射形状的失真会导致不正确的成像(即不完全的衍射坍塌)，从而进一步导致倾斜反射的位移误差。有限差分方法被认为能够在非均匀介质中正确地继续向下传播波。然而，在传统的实现中，有限差分法和频域方法都是有效的。
None of the leading approaches to the migration of seismic sections—the Kirchhoff‐summation method, the finite‐difference method, or the frequency‐domain method—readily migrates seismic reflections to their proper positions when overburden velocities vary laterally. For inhomogeneous media, the diffraction curve for a localized, buried scatterer is no longer hyperbolic and its apex is displaced laterally from the position directly above the scatterer. Hubral observed that the Kirchhoff‐summation method images seismic data at emergent “image ray” locations rather than at the desired positions vertically above scatterers. In addition, distortions in diffraction shapes lead to incorrect imaging (i.e., incomplete diffraction collapse) and, hence, to further displacement errors for dipping reflections. The finite‐difference method has been believed to continue waves downward correctly through inhomogeneous media. In conventional implementations, however, both the finite‐difference method and frequency‐domain a...