Curvelet阈值迭代法地震随机噪声压制(英文)

本文将近些年发展起来的多尺度分析技术——Curvelet变换与求解优化反演问题的阈值迭代法相结合,研究了基于Curvelet变换的阈值迭代法在地震数据随机噪声衰减中的应用。充分利用了Curvelet变换对地震数据表示的稀疏性,提出将地震数据随机噪声压制问题转化为基于Curvelet稀疏变换的L1范数最优化问题,并采用前人提出的阈值迭代法求解。通过与常规的中值滤波、FX反褶积和小波阈值法去噪方法对比,理论合成数据和实际数据试算表明,Curvelet阈值迭代法去噪法具有优势,该法不仅能够获得较高的信噪比,而且对有效信号的损失较小。为充分利甩Curvelet的多尺度、多方向特性,提出了在Curvelet阈值迭代法去噪结果的基础上再进行方向控制,进一步提高了数据信噪比。

An iterative curvelet thresholding algorithm for seismic random noise attenuation

Hennenfent,G.,and Herrmann,F.J.,2008,Simply denoise:Wavefield reconstruction via jittered undersampling:Geophysics,73(3),V19-V28.

Hennenfent,G.,van den Berg,E.,Friedlander,M.P.,and Herrmann,F.J.,2008,New insights into one-norm solvers from the Pareto curve:Geophysics,73(4),23 -26.

Herrmann,F.J.,and Verschuur,E.,2004,Curvelet-domain multiple elimination with sparseness constraints:74th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,1333-1336.

Herrmann,F.J.,Wang,D.L.,and Hennenfent,G.,2007,Seismic data processing with curvelets:A multiscale and nonlinear approach:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2220-2224.

Herrmann,F.J.,and Hennenfent,G.,2008,Non-parametric seismic data recovery with curvelet frames:Geophysical Journal International,173(1),233-248.

Huang,W.,2007,Research on curvelet transform and its applications on image processing:Masters Thesis,Xian University of Technology.

Huub,D.,and Maarten,V.,2004,Wave-character preserving pre-stack map migration using curvelets:74th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,961-964.

Neelamani,R.,Baumstein,A.I.,Gillard,D.G.,and Hadidi,M.T.,and Soroka,W.L.,2008,Coherent and random noise attenuation using the curvelet transform:The Leading Edge,27(2),240-248.

Wang,D.L.,Saab,R.,Yilmaz,(O).,and Herrmann,F.J.,2008,Bayesian wavefield separation by transform domain sparsity promotion:Geophysics,73(5),A33-A38.

Wang,W.,Gao,J.H.,Li,K.,Ma,K.,and Zhang,X.,2009,Structure-oriented Gaussian filter for seismic detail preserving smoothing:Image processing:16th IEEE International Conference,601-604.

Wu,F.P.,2008,Study on curvelet transform and its application in image processing:Masters Thesis,Jinan University.

Zhang,H.L.,Zhang,Y.C.,and Song,S.,2008,Curvelet domain-based prestack seismic data denoise method:Oil Geophysical Prospecting,143(5),508-513.

Zhao,X.,2007,Research and application of image denoising method based on curvelet transform:Masters Thesis,Shandong University of Science and Technology.

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