波动方程角度域共成像道集

陈生昌; 马在田; WuRu-shan

波动方程角度域共成像道集

1.
浙江大学地球科学系, 浙江杭州 310027
2.
同济大学海洋与地球科学学院, 上海 200092
3.
Modeling and Imaging Laboratory, IGPP, University of California, Santa Cruz, CA 95064, USA

基金项目:

国家自然科学基金项目 40674065

国家863高技术研究发展计划项目 2006AA09Z307

详细信息

作者简介:
陈生昌(1965-), 男, 博士, 副教授, 主要从事勘探地球物理和计算地球物理教学和科研工作.E-mail: chenshengc@hotmail.com

中图分类号: P631.4
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出版历程
- 收稿日期: 2006-10-16
- 刊出日期: 2007-07-25

Angle Domain Common Image Gather for Wave Equation

1.
Department of Earth Sciences, Zhejiang University, Hang zhou 310027, China
2.
School of Ocean and Earth Science, Tongji University, Shanghai 200092, China
3.
Modeling and Imaging Laboratory, IGPP, University of California, Santa Cruz, CA 95064, USA

摘要

摘要: 针对基于波场深度递推的波动方程叠前深度偏移成像方法难以准确地给出如Kirchhoff积分叠前深度偏移成像方法的偏移距域共成像道集的不足, 在分析研究现有的各种波动方程偏移成像共成像道集方法的基础上, 利用波场外推的单平方根算子和波场的窗口Fourier框架展开与重构方法, 提出一种局部角度域共成像道集方法——成像点处反射角共成像道集方法.把这种角度域共成像道集方法应用于国际标准的Marmousi模型数据和一条实际二维地震数据都取得了理想的结果.提出的波动方程反射角度域共成像道集方法可为进一步的叠前偏移数据振幅随角度变化分析和偏移速度分析工作提供基础.
- 波动方程 /
- 叠前深度偏移 /
- 单平方根算子 /
- 窗口Fourier框架 /
- 反射角 /
- 共成像道集
Abstract: Wave equation prestack depth migration based on wavefield depth recursive extrapolation can hardly give out a common image gather in offset domain as accurately as Kirchhoff integral based prestack depth migration does. In order to make up for this defect, we have analyzed various methods of wave equation migration common image gather. And by using the single square root operator for wavefield extrapolation and the windowed Fourier frame expansion and reconstruction of wavefield, a method for local angle domain common image gather is proposed, i.e. common image gather in reflection angle domain of imaging point. The application of the angle domain common image gather in Marmousi model data and a two dimensional real seismic data yields ideal results. The angle domain common image gather method for wave equation derived in this paper will provide a foundation for further migration velocity analysis and amplitude versus angle analysis of migrated data.
- wave equation /
- prestack depth migration /
- single square root operator /
- windowed Fourier frame /
- reflection angle /
- common image gather

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图 1 角度关系图

Fig. 1. The relationship of angles

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图 2 Marmousi模型的速度场

Fig. 2. Velocity field of Marmousi model

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图 3 准确的Marmousi速度模型偏移成像结果

Fig. 3. Migration result of Marmousi model using accurate velocity

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图 4 x=7 km处3个不同速度模型的角度域共成像道集

Fig. 4. Common image gathers of the three different velocity models at x=7 km

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图 5 实际数据的准确速度模型偏移成像结果

Fig. 5. Migration results of real data using accurate velocity

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图 6 x=10 km处3个不同速度模型的角度域共成像道集

Fig. 6. Common image gathers of the three different velocity models at x= 10 km

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参考文献(11)

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陈生昌, 2002. 波动方程叠前深度偏移成像与速度建模方法研究(学位论文). 上海: 同济大学.
陈生昌, 曹景忠, 马在田, 2001. 稳定的Born近似叠前深度偏移方法. 石油地球物理勘探, 36 (3): 291-296. doi: 10.3321/j.issn:1000-7210.2001.03.005