基于Shearlet变换的地震随机噪声压制
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摘要
地震勘探中的噪声对地震信号产生严重的畸变和干扰,常规的地震去噪方法已经不能满足当前高精度地震勘探的要求。提出了基于Shearlet变换的地震数据去噪方法,Shearlet变换是一种新的多尺度变换方法,具有多方向、多分辨率及最佳稀疏逼近性质,并且计算效率高。Shearlet变换在去除随机噪声的同时能最大程度保留有效信号,有效地提高信噪比。利用Shearlet变换阈值去噪法与其他地震去噪方法分别对不同信噪比的合成地震记录和实际地震记录进行对比,结果表明Shearlet变换具有更强的去噪能力和更高的运算效率。
In seismic exploration,the noise seriously distorts and interferes with seismic signal.Conventional methods of seismic data denoising can no longer meet the requirements of high-resolution seismic exploration.In this study,a method of seismic data denoising is proposed based on the shearlet transform,a new multi-scale transform with multi-directions,multi-resolutions,and optimal sparse approximation properties as well as high computational efficiency.The shearlet transform can get rid of random noise while retaining effective signals to the maximum degree,thereby effectively improving the signal-to-noise ratio.It is applied to synthetic and field seismic data with different signal-to-noise ratios,and compared with conventional methods of seismic data denoising.Results show that the shearlet transform is competitive in denoising applications in terms of both performance and computational efficiency.
引文
[1]刘振武,撤利明,张听,等.中国石油开发地震技术应用现状和未来发展建议[J].石油学报,2009,30(5):711-716.Liu Zhenwu,Sa Liming,Zhang Xin,et al.Current application and future development of production seismology in PetroChina[J].Acta Petrolei Sinica,2009,30(5):711-716.
    [2]康冶,于承业,贾卧,等.f-x域去噪方法研究[J].石油地球物理勘探,2003,38(2):136-138Kang Ye,Yu Chengye,Jia Wo,et al.f-x domain denoising research[J].Oil Geophysical Prospecting,2003,38(2):136-138
    [3]Brian Russel,Dan Hampson,Joong Chun.Noise elimination and the radon transform.Part l[J].The Leading Edge,1990,Vol.9,No.11:31-37.
    [4]张军华,吕宁,田连玉,等.地震资料去噪方法技术综合评述[J].地球物理学进展,2006,21(2):546-553.Zhang Junhua,Lv Ning,Tian Lianyu,et al.An overview of the methods and techniques for seismic data noise attenuation[J],Progress in Geophysics,2006,21(2):546-553.
    [5]张军华,陆基孟.小波变换方法在地震资料中去噪和提高分辨率中的应用[J].石油大学学报:自然科学版,1997,21(1):18-21.Zhang Junhua,Lu Jimeng.Application of wavelet transform in removing noise and improving resolution of seismic data[J].Journal of University of Petroleum:Edition of Natural Science,1997,21(1):18-21.
    [6]焦李成,谭山.图像的多尺度几何分析:回顾和展望[J].电子学报,2003,31(12):1975-1981.Jiao Licheng,Tan Shan.Development and prospect of image multiscale geometric analysis[J].Acta Electronica Sinica.2003,31(12):1975-1981.
    [7]彭才,常智,朱仕军.基于曲波变换的地震数据去噪方法[J].石油物探,2008,47(5):461-464.Peng Cai,Chang Zhi,Zhu Shijun,et al.Noise elimination method based on Curvelet transform[J].Geophysiccal Prospecting for Petroleum,2008,47(5):461-464.
    [8]仝中飞,王德利,刘冰.基于Curvelet变换阂值法的地震数据去噪方法[J].吉林大学学报:地球科学版,2008(S1):48-52.Tong Zhongfei,Wang Deli,Liu Bing.Seismic Data Denoise Based on Curvelet Transform with the Threshold Method[J].Journal of Jilin University(Earth Science Edition),2008(S1):48-52.
    [9]孙佳林.基于Curvelet变换的地层吸收补偿方法研究[D].长春:吉林大学,2013.Sun Jianlin.Absorption compensation based on Curvelet transform[D].Changchun,Jilin University,2013.
    [10]王德利,仝中飞,唐晨,等.Curvelet阈值迭代法地震随机噪声压制[J].应用地球物理,2010,7(4):315-324.Wang Deli,Tong Zhongfei,Tang Chen,et al.An iterative curvelet thresholding algorithm for seismic random noise attenuation[J].Applied Geophysics,2010,7(4):315-324.
    [11]冯飞,王德利,张亚红,等.结合曲波变换的焦点变换在地震数据去噪和插值中的应用[J].物探与化探,2013,37(3):480-487.Feng Fei,Wang Deli,Zhang Yahong,et al.The application of focal transform in combination with Curvelet transform to seismic data denoising and interpolation.[J].Geophysical&Geochemical Exploration,2013,37(3):480-487.
    [12]孟大江,王德利,冯飞,等.基于Curvelet变换的稀疏反褶积[J].石油学报,2013,34(1):107-114.Meng Dajiang,Wang Deli,Feng Fei,et al.Sparse deconvolution based on the Curvelet transform[J].Acta Petrolei Sinica,2013,34(1):107-114.
    [13]Guo K,Kutyniok G,Labate D.Sparse multid,imensional representations using anisotropic dilation and shear operators[M]//—Chen G,Lai M J.Wavelets and Splines(Athens,GA,2005):Nashboro Press,2006:189-201.
    [14]Labate D,Lim W Q,Kutyniok G,et al.Sparse multidimensional representation using shearlets[C]//Optics&Photonics 2005.International Society for Optics and Photonics,2005:59140U-59140U-9.
    [15]Kutyniok CShahram M,Zhuang X.Shearlab:A rational design of a digital parabolic scaling algorithm[J].SIAM Journal on Imaging Sciences,2012,5(4):1291-1332.
    [16]Guo K,Labate D.The construction of smooth parseval frames of Shearlets[J].Mathematical Modelling of Natural Phenomena,2013,8(01):82-105.
    [17]Kittipoom P,Kutyniok G,Lim W Q.Construction of compactly supported Shearlet frames[J].Constructive Approximation,2012,35(1):21-72.
    [18]Guo K,Labate D.Optimally sparse multidimensional representation using shearlets[J].SIAM Journal on Mathematical Analysis,2007,39(1):298-318.
    [19]Easley G,Labate D,Lim W Q.Sparse directional image representations using the discrete shearlet transform[J].Applied and Computational Harmonic Analysis,2008,25(1):25-46.
    [20]Yi S,Labate D,Easley G R,et al.A shearlet approach to edge analysis and detection[J].IEEE Transactions on Image Processing,2009,18(5):929-941.
    [21]邓承志.Shearlet变换与图像处理应用[J].南昌工程学院学报,2011,30(6):1-6.Deng Chengzhi.Shearlet transform and its applications in image processing[J].Journal of Nanchang Institute of Technology,2011,30(6):1-6.
    [22]柴勇,何友,曲长文.迭代离散Shearlet变换异类源遥感图像融合[J].计算机工程与应用,2011,47(3):174-176.Chai Yong,He You,Qu Changwen.Remote sensing image fusion based on iterative discrete Shearlet transform[J].Computer Engineering and Applications,2011,47(3):174-176
    [23]朱华生,徐晨光.Shearlet变换域自适应图像去噪算法[J].激光与红外,2012,42(7):811-814.Zhu Huasheng,Xu Chengguang.Adaptive image denoising algorithm based on Shearlet transform[J].Laser&Infrared,2012,42(7):811-814.
    [24]胡海智,孙辉,邓承志,等.基于Shearlet变换的图像去噪算法[J].计算机应用,2010(6):1562-1564.Hu Haizhi,Sun Hui,Deng Chengzhi,et al.Image denoising algorithm based on Shearlet transform[J],Journal of Computer Applications,2010(6):1562-1564.
    [25]屈勇,曹俊兴,朱海东,等.一种改进的全变分地震图像去噪技术[J].石油学报,2011,32(5):815-819.Qu Yong,Cao Junxing,Zhu Haidong,et al,An improved total variation technique for seismic image denoising[J].Acta Petrolei Sinica,2011,32(5):815-819.
    [26]胡成飞.基于剪切波变换的低剂量CT图像去噪算法研究[D].郑州:郑州大学,2012.Hu Chengfei.The Denoising Algorithm of Low-dose CT Images based on Shearlet Transformation[D].Zhengzhou:Zhengzhou University,2012.
    [27]Burt P,Adelson E.The Laplacian pyramid as a compact image code[J].IEEE Transactions on Communications,1983,31(4):532-540.

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