Common Angle Imaging With Offset Plane Waves
Common Angle Imaging With Offset Plane Waves
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DOI：
10.1190/1.1885663
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
C. Mosher;D. Foster;S. Hassanzadeh
中科院分区：
文献类型：
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作者：
C. Mosher;D. Foster;S. Hassanzadeh
偏移通常用作波场聚焦工具，用于研究反射幅度随偏移量 (AVO) 或反射器入射角的变化。偏移通常应用于公共偏移或公共入射角部分。在许多处理系统中，公共角度截面是通过基于射线追踪从偏移到公共中点 (CMP) 集合角度的简单 l-d 变换形成的。在本文中，我们提供了一个波动方程框架，用于偏移由 CMP 道集中的偏移量上的氡变换形成的共入射角截面。标量波动方程的氡变换为每个偏移平面波产生独立的波动方程。偏移平面波动方程几乎等同于零偏移波动方程，除了与中点方向的倾角和偏移射线参数（表面的入射角）相关的附加项。在此框架内，公共角度截面的有限差分、伪谱和基尔霍夫偏移可以轻松地从现有算法中进行调整。公共角度截面波动方程的可用性允许将波动方程技术严格有效地应用于 AVO 研究和复杂的结构成像问题。
Migration is commonly used as a wavefield focussing tool in the study of the variation of reflection amplitude with offset (AVO), or with angle of incidence at reflectors. Migrations are typically applied to common offset or common incident angle sections. In many processing systems, common angle sections are formed by simple l-d transformations from offset to angle of common midpoint (CMP) gathers based on ray tracing. In this paper, we provide a wave-equation framework for migrating common incidence angle sections that have been formed from Radon transforms over offset in CMP gathers. Radon transformation of the scalar wave equation results in an independent wave equation for each offset plane wave. The offset plane wave equation is nearly equivalent to the zero offset wave equation, except for an additional term related to dip in the midpoint direction, and to offset ray parameter (angle of incidence at the surface). Within this framework, finite difference, pseudo-spectral, and Kirchhoff migrations for common angle sections can be easily adapted from existing algorithms. The availability of a wave equation for common angle sections allows rigorous and efficient application of wave equation techniques for AVO studies and complex structural imaging problems.