基于Poynting矢量的角度域逆时偏移成像及对成像幅度的校正

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摘要本文针对常规逆时偏移成像无法处理波动过程中不同角度信息的问题，提出了一种基于Poynting矢量的角度域逆时偏移成像及成像幅度的校正方法。利用Poynting矢量对波场传播方向进行分解，在时域内构建局部成像矩阵及局部照明矩阵。在局部成像矩阵中建立的角度域成像条件可以有效地消除低波数干扰，并在局部成像矩阵中可以进行角度域共成像点道集抽取、倾角估计等运算。利用局部照明矩阵进行基于全波波动方程的时域照明分析，在局部照明矩阵中计算倾角域幅度校正因子，利用校正因子对各角度的像进行校正，通过叠加实现对最终成像结果的幅度校正。最后通过SEG/EAGE模型进行数值计算验证了文中所述的计算方法。与基于局部平面波角度分解的角度域逆时偏移成像及成像校正方法相比，本文提供了一种角度域逆时偏移成像及其幅度校正的高效计算方法。

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关键词： Poyting矢量角度域成像局部成像矩阵照明分析幅度校正

Abstract： We propose a method based on the Poynting vector that combines angle-domain imaging and image amplitude correction to overcome the shortcomings of reverse-time migration that cannot handle different angles during wave propagation. First, the local image matrix (LIM) and local illumination matrix are constructed, and the wavefield propagation directions are decomposed. The angle-domain imaging conditions are established in the local imaging matrix to remove low-wavenumber artifacts. Next, the angle-domain common image gathers are extracted and the dip angle is calculated, and the amplitude-corrected factors in the dip angle domain are calculated. The partial images are corrected by factors corresponding to the different angles and then are superimposed to perform the amplitude correction of the final image. Angle-domain imaging based on the Poynting vector improves the computation efficiency compared with local plane-wave decomposition. Finally, numerical simulations based on the SEG/EAGE velocity model are used to validate the proposed method.

Key words： Poynting vector angle-domain imaging local image matrix illumination analysis amplitude correction

收稿日期: 2017-02-08;

基金资助:

本研究由黑龙江省自然科学基金（编号：F 201404）资助。

引用本文:

. 基于Poynting矢量的角度域逆时偏移成像及对成像幅度的校正[J]. 应用地球物理, 2017, 14(4): 505-516.

. Reverse-time migration and amplitude correction in the angle-domain based on Poynting vector[J]. APPLIED GEOPHYSICS, 2017, 14(4): 505-516.

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