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最优可分表示法三维波场延拓
引用本文:张致付,孟小红,刘洪,陈景波,李幼铭.最优可分表示法三维波场延拓[J].应用地球物理,2006,3(4):218-225.
作者姓名:张致付  孟小红  刘洪  陈景波  李幼铭
作者单位:中国地质大学(北京)地下信息探测技术与仪器教育部重点实验室,中国地质大学(北京)地下信息探测技术与仪器教育部重点实验室,中国科学院地质与地球物理研究所,中国科学院地质与地球物理研究所,中国科学院地质与地球物理研究所 北京 100083 中国地质大学(北京)地质过程与矿产资源国家重点实验室,北京 100083,北京 100083 中国地质大学(北京)地质过程与矿产资源国家重点实验室,北京 100083,北京 100029,北京 100029,北京 100029
基金项目:This research is sponsored by China National Natural Science Foundation (NO. 40474047).
摘    要:适于复杂介质的高精度波场延拓算子是叠前深度偏移研究的重要内容。本文采用最优可分表示方法,运用正反傅立叶变换构造了三维单程波场延拓算子,算子实现了波数域变量与空间(速度)域变量分离。波数域内进行相移计算,在空间域对因介质横向变速引起的时移作修正。脉冲响应显示在区域内各速度的脉冲计算值与理论值基本一致,说明最优可分表示法叠前深度偏移可适用于强变速条件下复杂介质的成像需求。SEG/EAGE模型和实测数据的成像结果验证了本文方法对复杂构造的成像能力。

关 键 词:波动方程  最优可分表示  单程波算子  象征  叠前深度偏移
收稿时间:23 October 2006

3D wavefield extrapolation with optimal separable approximation
Zhang Zhifu,Meng Xiaohong,Liu Hong,Chen Jingbo,Li YouMing.3D wavefield extrapolation with optimal separable approximation[J].Applied Geophysics,2006,3(4):218-225.
Authors:Zhang Zhifu  Meng Xiaohong  Liu Hong  Chen Jingbo  Li YouMing
Institution:(1) State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing, 100083, China;(2) Geo-detection Laboratory, Ministry of Education of China, China University of Geosciences, Beijing, 100083, China;(3) Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029, China
Abstract:An accurate and wide-angle one-way propagator for wavefield extrapolation is an important topic for research on wave-equation prestack depth migration in the presence of large and rapid velocity variations. Based on the optimal separable approximation presented in this paper, the mixed domain algorithm with forward and inverse Fourier transforms is used to construct the 3D one-way wavefield extrapolation operator. This operator separates variables in the wavenumber and spatial domains. The phase shift operation is implemented in the wavenumber domain while the time delay for lateral velocity variation is corrected in the spatial domain. The impulse responses of the one-way wave operator show that the numeric computation is consistent with the theoretical value for each velocity, revealing that the operator constructed with the optimal separable approximation can be applied to lateral velocity variations for the case of small steps. Imaging results of the SEG/EAGE model and field data indicate that the new method can be used to image complex structure.
Keywords:wave-equation  optimal separable approximation  one-way wavefield extrapolation operator  symbol  prestack depth migration  
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