面波压制的Ridgelet域方法
|
摘要
面波压制是地震数据处理中的一个重要问题.常规的处理方法虽然能在一定程度上压制面波,但是在处理过程中只是单一的利用面波的一种特性,例如频率域滤波中利用面波与有效信号频率之间的差别,因此难以有效地压制面波.利用Ridgelet变换可将原始地震记录拓展到(a,τ,p)三维空间,从而可以同时利用地震记录的视速度、时间和尺度域特性差别,实现有效信号与面波的分离.文中通过理论合成记录及实际地震记录的算例,证实了基于Ridgelet变换的面波压制方法是有效且可行的.
Ground-roll is a regular interferential wave existing widely in seismic data, and it is a difficult problem in seismic data processing to suppress ground-roll. The traditional methods can do these to some extent, but they only use the ground-roll single characteristic during processing. We gain a transform which is valid in seismic processing, namely, Ridgelet transform. It can transform seismic data in %(x,t)% domain to %(a,τ,p)%. So we can use the difference in velocity, time and scale characteristics of seismic data to process and separate different waves at the same time. Examples of processing the synthetic and real data illustrate its feasibility and effectiveness of the Ridgelet transform method in attenuating ground-roll.
Ground-roll is a regular interferential wave existing widely in seismic data, and it is a difficult problem in seismic data processing to suppress ground-roll. The traditional methods can do these to some extent, but they only use the ground-roll single characteristic during processing. We gain a transform which is valid in seismic processing, namely, Ridgelet transform. It can transform seismic data in %(x,t)% domain to %(a,τ,p)%. So we can use the difference in velocity, time and scale characteristics of seismic data to process and separate different waves at the same time. Examples of processing the synthetic and real data illustrate its feasibility and effectiveness of the Ridgelet transform method in attenuating ground-roll.
引文
[1]Chakraborty A,Okaya D.Frequency-time decomposition of seismic data using wavelet-based methods.Geophysics,1995,60(6):1906～1916
[2]高静怀,汪文秉,朱光明等.地震资料处理中小波函数的选取研究.地球物理学报,1996,39(3):389～397GaoJ H,Wang W B,Zhu G M,et al.On the choice of wavelet functions for seismic data processing.Chinese J.Geophys.(in Chinese),1996,39(3):389～397
[3]高静怀,汪文秉,朱光明等.小波变换与信号瞬时特征分析.地球物理学报,1997,40(6):821～832Gao J H,Wang W B,Zhu G M,et al.Wavelet transform and instantaneous attributes analysis.Chinese J.Geophys.(in Chinese),1997,40(6):821～832
[4]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 G A,Du S T.Application of wavelet transform and signal reconstruction in surface wave elimination.Oil Geophysical Prospecting(in Chinese),1996,31(3):337～349
[5]Deighan AJ,Watts D R.Ground-roll suppression using the wavelet transform.Geophysics,1997,62(6):1896～1903
[6]Minh-Quy Nguyen,Jerome Mars.Filtering surface waves using2D discrete wavelet transform.69th Ann.Internat.Mtg.,SEG,Expanded Abstracts,1999.1228～1231
[7]Mallat S.A theory for multiresolution signal decomposition:the wavelet representation.IEEE Transactions on Pattern Analysis and Machine Intelligence,1989,11(7):674～693
[8]Candes E J.Ridgelet:theory and application[Ph.D.thesis].California:Department of Statistics,Stanford University,1998
[9]Candes E J,Donoho D L.Ridgelet:the key to high-dimesional intermittency?Phil.Trans.R.Soc.Lond.A.,1999,357(1760):2495～2509
[10]Minh N Do,Martin Vetterli.The finite ridgelet transformfor image representation.IEEE Transactions on Image Processing,2003,12(1):16～28
[11]侯彪,刘芳,焦李成.基于脊波变换的直线特征检测.中国科学(E辑),2003,33(1):65～73Hou B,Liu F,Jiao L C.Linear characteristic detection based on ridgelet transform.Science in China(Series E)(in Chinese),2003,33(1):65～73
[12]袁修贵,宋守根,侯木舟.Ridgelet变换在地震数据处理中的应用.物探化探计算技术,2003,25(2):140～144Yuan X G,Song S G,Hou MZ.Application of ridgelet transformto seismic data processing.Computing Techniques for Geophysical and Geochemical Exploration(in Chinese),2003,25(2):140～144
[13]张志禹,高静怀,顾家柳等.多尺度τ-p谱及其应用.地球物理学报,1999,42(4):543～548Zhang Z Y,Gao J H,GuJ L,et al.Multi-scaleτ-pspectrumandits application.Chinese J.Geophys.(in Chinese),1999,42(4):543～548
[14]吴律.τ-p变换及其应用.北京:石油工业出版社,1993Wu L.τ-pTransform and Its Application(in Chinese).Beijing:PetroleumIndustry Press,1993
[15]Torrence C,Gilbert P C.A practical guide to wavelet analysis.Bulletin ofthe American Meteorological Society,1998,79(1):61～78
[16]牛滨华,孙春岩,张中杰等.多项式Radon变换.地球物理学报,2001,44(2):263～271Niu B H,Sun C H,Zhang Z J,et al.Polynomial Radon transform.Chinese J.Geophys.(in Chinese),2001,44(2):263～271
[17]Deans S R.The Radon Transformand Some of Its Applications.New York:John Wiley&Sons,Inc,1983
[2]高静怀,汪文秉,朱光明等.地震资料处理中小波函数的选取研究.地球物理学报,1996,39(3):389～397GaoJ H,Wang W B,Zhu G M,et al.On the choice of wavelet functions for seismic data processing.Chinese J.Geophys.(in Chinese),1996,39(3):389～397
[3]高静怀,汪文秉,朱光明等.小波变换与信号瞬时特征分析.地球物理学报,1997,40(6):821～832Gao J H,Wang W B,Zhu G M,et al.Wavelet transform and instantaneous attributes analysis.Chinese J.Geophys.(in Chinese),1997,40(6):821～832
[4]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 G A,Du S T.Application of wavelet transform and signal reconstruction in surface wave elimination.Oil Geophysical Prospecting(in Chinese),1996,31(3):337～349
[5]Deighan AJ,Watts D R.Ground-roll suppression using the wavelet transform.Geophysics,1997,62(6):1896～1903
[6]Minh-Quy Nguyen,Jerome Mars.Filtering surface waves using2D discrete wavelet transform.69th Ann.Internat.Mtg.,SEG,Expanded Abstracts,1999.1228～1231
[7]Mallat S.A theory for multiresolution signal decomposition:the wavelet representation.IEEE Transactions on Pattern Analysis and Machine Intelligence,1989,11(7):674～693
[8]Candes E J.Ridgelet:theory and application[Ph.D.thesis].California:Department of Statistics,Stanford University,1998
[9]Candes E J,Donoho D L.Ridgelet:the key to high-dimesional intermittency?Phil.Trans.R.Soc.Lond.A.,1999,357(1760):2495～2509
[10]Minh N Do,Martin Vetterli.The finite ridgelet transformfor image representation.IEEE Transactions on Image Processing,2003,12(1):16～28
[11]侯彪,刘芳,焦李成.基于脊波变换的直线特征检测.中国科学(E辑),2003,33(1):65～73Hou B,Liu F,Jiao L C.Linear characteristic detection based on ridgelet transform.Science in China(Series E)(in Chinese),2003,33(1):65～73
[12]袁修贵,宋守根,侯木舟.Ridgelet变换在地震数据处理中的应用.物探化探计算技术,2003,25(2):140～144Yuan X G,Song S G,Hou MZ.Application of ridgelet transformto seismic data processing.Computing Techniques for Geophysical and Geochemical Exploration(in Chinese),2003,25(2):140～144
[13]张志禹,高静怀,顾家柳等.多尺度τ-p谱及其应用.地球物理学报,1999,42(4):543～548Zhang Z Y,Gao J H,GuJ L,et al.Multi-scaleτ-pspectrumandits application.Chinese J.Geophys.(in Chinese),1999,42(4):543～548
[14]吴律.τ-p变换及其应用.北京:石油工业出版社,1993Wu L.τ-pTransform and Its Application(in Chinese).Beijing:PetroleumIndustry Press,1993
[15]Torrence C,Gilbert P C.A practical guide to wavelet analysis.Bulletin ofthe American Meteorological Society,1998,79(1):61～78
[16]牛滨华,孙春岩,张中杰等.多项式Radon变换.地球物理学报,2001,44(2):263～271Niu B H,Sun C H,Zhang Z J,et al.Polynomial Radon transform.Chinese J.Geophys.(in Chinese),2001,44(2):263～271
[17]Deans S R.The Radon Transformand Some of Its Applications.New York:John Wiley&Sons,Inc,1983
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心