| 基于Curvelet变换的缺失地震数据插值方法 |
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| 引用本文： | 刘国昌,陈小宏,郭志峰,刘华锋,高建军. 基于Curvelet变换的缺失地震数据插值方法[J]. 石油地球物理勘探, 2011, 0(2): 237-246,159 |
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| 作者姓名： | 刘国昌 陈小宏 郭志峰 刘华锋 高建军 |
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| 作者单位： | 中国石油大学(北京)油气资源与探测国家重点实验室; |
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| 基金项目： | 国家863课题(2006AA09A102-09); 国家重大专项课题(2008ZX05023-005-004)联合资助 |
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| 摘 要： | Curvelet变换具有局部性、多尺度性和多方向性,在处理非稳态地震信号中具有较大的优势,可以利用Curvelet变换的压缩特性重建缺失的地震数据。本文首先分析了基于稀疏变换的缺失地震数据插值的基本原理,在反问题正则化理论框架下,针对L2范数约束和L1范数约束条件,分析了两种约束的差异,着重阐述了基于Curvelet变换的L1范数约束的插值方法,其优点在于对非线性同相轴不需要分窗口处理,并将凸集投影算法(POCS)引入到Curvelet变换的插值方法中,通过采用按指数规律衰减的阈值参数加快了迭代收敛的速度。理论和实际算例验证了Curvelet变换插值方法的有效性。
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| 关 键 词： | 地震数据 重建 Curvelet变换 凸集投影 L2范数 L1范数 |
Missing seismic data rebuilding by interpolation based on Curvelet transform |
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| Liu Guo-chang,Chen Xiao-hong,Guo Zhi-feng,Liu Hua-feng, Gao Jian-jun..State Key Laboratory of Petroleum Resources , Prospecting,China University of Petroleum Beijing,Changping,Beijing,,China. Missing seismic data rebuilding by interpolation based on Curvelet transform[J]. Oil Geophysical Prospecting, 2011, 0(2): 237-246,159 |
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| Authors: | Liu Guo-chang Chen Xiao-hong Guo Zhi-feng Liu Hua-feng Gao Jian-jun..State Key Laboratory of Petroleum Resources Prospecting China University of Petroleum Beijing Changping Beijing China |
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| Affiliation: | Liu Guo-chang1,Chen Xiao-hong1,Guo Zhi-feng1,Liu Hua-feng1,and Gao Jian-jun1.1.State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum Beijing,Changping,Beijing,102249,China |
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| Abstract: | Curvelet transform is suitable for nonstationary seismic data processing because it is multi-scale,multidirectional,and strictly localized.The compression attribute of Curvelet transform can be used for reconstruction of missing seismic data.In the paper,we first analyze the principle of missing seismic data interpolation using sparse transform.Then we discuss the difference between the interpolation methods with-norm and-norm restrictions in the inversion framework.We expatiate in detail on the interpolati... |
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| Keywords: | seismic data rebuilding Curvelet transform Projections Onto Convex Sets L2-norm L1-norm |
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