| 基于非均匀快速傅里叶变换的最小二乘反演地震数据重建 |
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| 引用本文： | 孟小红,郭良辉,张致付,李淑玲,周建军.基于非均匀快速傅里叶变换的最小二乘反演地震数据重建[J].地球物理学报,2008,51(1):235-241. |
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| 作者姓名： | 孟小红 郭良辉 张致付 李淑玲 周建军 |
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| 作者单位： | 1.中国地质大学地质过程与矿产资源国家重点实验室, 北京 100083;2.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), 北京 100083 |
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| 基金项目： | 国家自然科学基金，国家高技术研究发展计划(863计划)探索性课题项目，北京市重点学科建设项目 |
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| 摘 要： | 不规则采样地震数据的重建是地震数据分析处理的重要问题.本文给出了一种基于非均匀快速傅里叶变换的最小二乘反演地震数据重建的方法，在最小二乘反演插值方程中，引入正则化功率谱约束项，通过非均匀快速傅里叶变换和修改周期图的方式，自适应迭代修改约束项，使待插值数据的频谱越来越接近真实的频谱，采用预条件共轭梯度法迭代求解，保证了解的稳定性和收敛速度.理论模型和实际地震数据插值试验证明了本文方法能够去除空间假频，速度快、插值效果好，具有实用价值.
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| 关 键 词： | 非均匀傅里叶变换 不规则地震数据重建 最小二乘反演 |
| 文章编号： | 0001-5733（2008）01-0235-07 |
| 收稿时间： | 2005-09-05 |
| 修稿时间： | 2007-09-26 |
Reconstruction of seismic data with least squares inversion based on nonuniform fast Fourier transform |
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| MENG Xiao-Hong,GUO Liang-Hui,ZHANG Zhi-Fu,LI Shu-Ling,ZHOU Jian-Jun.Reconstruction of seismic data with least squares inversion based on nonuniform fast Fourier transform[J].Chinese Journal of Geophysics,2008,51(1):235-241. |
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| Authors: | MENG Xiao-Hong GUO Liang-Hui ZHANG Zhi-Fu LI Shu-Ling ZHOU Jian-Jun |
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| Institution: | 1.State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing 100083, China;2.Key Laboratory of Geo-detection (China University of Geosciences, Beijing), Ministry of Education, Beijing 100083, China |
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| Abstract: | Reconstruction of uneven seismic data is a crucial step of the analyzing and processing of the data. In this paper, a least squares inversion based on nonuniform fast Fourier transform is proposed, which can reconstruct both uneven and alias seismic data. The algorithm of nonuniform fast Fourier transform is used to do Fourier transform of uneven data. An adaptive DFT weighted norm regularization constraint is used during the reconstruction. The inverse problem is solved by the preconditioning conjugate gradient method, which makes the solutions stable and convergence quick. Experimental results on theoretical model and raw uneven seismic data show that the proposed method is fast, efficient and applicable. |
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| Keywords: | Nonuniform fast Fourier transform Reconstruction of uneven seismic data Least squares inversion |
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