第二代Curvelet变换压制面波方法
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摘要
鉴于现有去除面波方法会损害有效信号,本文提出了一种基于第二代曲波变换压制面波的方法。该方法将地震数据分为多个尺度和方向,根据有效波和面波在不同尺度不同方向特征的差异,设计了多级曲波变换压制面波的流程,该方法充分利用有效波和面波在曲波域不重叠的特性,仅对含面波的尺度和方向上的曲波系数进行处理,最终获得压制面波后的地震数据。模型及实际资料处理结果表明,该方法能够在压制面波的同时最大限度地保护有效信号,是一种有效的相对保幅去噪的方法。
In view of the loss of effective signal of conventional ground-roll removal techniques,in this paper we develop a new multi-scale and multi-directional method of removing ground roll based on the second generation Curvelet transform.Firstly,the seismic data is assigned to multiple scales and directions by Curvelet transform.According to different characteristics of ground rolls and waves in different scales and different directions,a flow of ground-roll removal based on multi-curvelet transform is devised.Making full use of the characteristic of non-overlapping in Curvelet domain,Curvelet coefficient that only contains ground rolls is processed.Finally we get the ground roll removal data.Applying this method to synthetical data and real field data sets indicates that it can suppress ground rolls,meanwhile,also greatly maintain signals.The method is proved to be an effective and preserved-amplitude denoising approach.
In view of the loss of effective signal of conventional ground-roll removal techniques,in this paper we develop a new multi-scale and multi-directional method of removing ground roll based on the second generation Curvelet transform.Firstly,the seismic data is assigned to multiple scales and directions by Curvelet transform.According to different characteristics of ground rolls and waves in different scales and different directions,a flow of ground-roll removal based on multi-curvelet transform is devised.Making full use of the characteristic of non-overlapping in Curvelet domain,Curvelet coefficient that only contains ground rolls is processed.Finally we get the ground roll removal data.Applying this method to synthetical data and real field data sets indicates that it can suppress ground rolls,meanwhile,also greatly maintain signals.The method is proved to be an effective and preserved-amplitude denoising approach.
引文
[1]李振春,张军华.地震数据处理方法.山东东营:石油大学出版社,2004,23～54
[2]牛滨华,吕景贵,孙春岩等.叠前面波干扰压制方法的研究与应用.现代地质,2001,15(3):326～332Niu Bin-hua,LüJing-gui,Sun Chun-yan et al.Pre-stack surface wave suppression:method and applica-tion.Geoscience,2001,15(3):326～332
[3]Kristof De Meersman.Ground Roll polarization filte-ring with spatial smoothness constraints.SEGTechnicalProgramExpandedAbstracts,2008,27:413～416
[4]张军华,吕宁,田连玉等.地震资料去噪方法技术综合评述.地球物理学进展,2006,21(2):546～553Zhang Jun-hua,LüNing,Tian Lian-yu et al.An over-view of the methods and techniques for seismic datanoise attenuation.Progress in Geophysics,2006,21(2):546～553
[5]刘财,王典,杨宝俊等.二维小波变换在地震勘探面波消除中的应用.地球物理学进展,2003,18(4):711～714Liu Cai,Wang Dian,Yang Bao-jun et al.Apply of 2-Dwavelet transforms in surface wave eliminations ofseismic exploration.Progress in Geophysics,2003,18(4):711～714
[6]罗国安,杜世通.小波变换及信号重建在压制面波中的应用.石油地球物理勘探,1996,31(3):337～349Luo Guo-an,Du Shi-tong.Application of wavelettransform and signal reconstruction in surface waveelimination.OGP,1996,31(3):337～349
[7]Strack J L,Candes E J,Donoho D L.The Curvelettransform for image denoising.IEEE Trans ImageProcessing,2002,11(6):670～684
[8]Candès E J,Donoho D L.New tight frames of Cur-velets and optimal representations of objects with C2Singularities.Communion Pure and Appl Math,2002,57(2):219～266
[9]闫敬文,屈小波.超小波分析及应用.北京:国防工业出版社,2008,13～32
[10]Candès E J,Donoho D L.Curvelet Manuscript.http://www-stat.standford.edu/～Donoho/Reports/1999/curvelet/.pdf,1999
[2]牛滨华,吕景贵,孙春岩等.叠前面波干扰压制方法的研究与应用.现代地质,2001,15(3):326～332Niu Bin-hua,LüJing-gui,Sun Chun-yan et al.Pre-stack surface wave suppression:method and applica-tion.Geoscience,2001,15(3):326～332
[3]Kristof De Meersman.Ground Roll polarization filte-ring with spatial smoothness constraints.SEGTechnicalProgramExpandedAbstracts,2008,27:413～416
[4]张军华,吕宁,田连玉等.地震资料去噪方法技术综合评述.地球物理学进展,2006,21(2):546～553Zhang Jun-hua,LüNing,Tian Lian-yu et al.An over-view of the methods and techniques for seismic datanoise attenuation.Progress in Geophysics,2006,21(2):546～553
[5]刘财,王典,杨宝俊等.二维小波变换在地震勘探面波消除中的应用.地球物理学进展,2003,18(4):711～714Liu Cai,Wang Dian,Yang Bao-jun et al.Apply of 2-Dwavelet transforms in surface wave eliminations ofseismic exploration.Progress in Geophysics,2003,18(4):711～714
[6]罗国安,杜世通.小波变换及信号重建在压制面波中的应用.石油地球物理勘探,1996,31(3):337～349Luo Guo-an,Du Shi-tong.Application of wavelettransform and signal reconstruction in surface waveelimination.OGP,1996,31(3):337～349
[7]Strack J L,Candes E J,Donoho D L.The Curvelettransform for image denoising.IEEE Trans ImageProcessing,2002,11(6):670～684
[8]Candès E J,Donoho D L.New tight frames of Cur-velets and optimal representations of objects with C2Singularities.Communion Pure and Appl Math,2002,57(2):219～266
[9]闫敬文,屈小波.超小波分析及应用.北京:国防工业出版社,2008,13～32
[10]Candès E J,Donoho D L.Curvelet Manuscript.http://www-stat.standford.edu/～Donoho/Reports/1999/curvelet/.pdf,1999
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