一种优化预测滤波压制随机噪声的方法
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摘要
针对低信噪比地震资料中的随机噪声干扰,提出了一种优化的预测滤波方法.通过对AR模型数学表达式进行改写,然后引入反褶积代价函数,最后推导得到压制随机噪声的递归算法.该算法实现了单道压制随机噪声,保护了有效信号的细节部分,比基于常规最小二乘代价函数的滤波算法收敛更快.通过模拟和实际地震资料验证表明,该方法能较好地压制低信噪比资料中的随机噪声干扰,同时能较好地保护有效地震信号.
The paper proposed an optimization prediction filter to pressing random noise in low-S/N seismic meterial.Through modifying AR model mathmatics function,involving deconvolution cost,we developed recurrence algorithm to suppresing random noise.It better than quadratic constraint in convergence rate,and the algorithm achieved single-trace filter,protected effect signals's detail part.Synthetic and real seismic meterial testing indicate this methods can suppress random noise effectively in low-S/N seismic meterial,at same time protecting effect signals well.
The paper proposed an optimization prediction filter to pressing random noise in low-S/N seismic meterial.Through modifying AR model mathmatics function,involving deconvolution cost,we developed recurrence algorithm to suppresing random noise.It better than quadratic constraint in convergence rate,and the algorithm achieved single-trace filter,protected effect signals's detail part.Synthetic and real seismic meterial testing indicate this methods can suppress random noise effectively in low-S/N seismic meterial,at same time protecting effect signals well.
引文
[1]蔡加铭,周兴元,吴律.F-X域算子外推去噪技术研究.石油地球物理勘探,1999,34(3):325-331.Cai J M,Zhou X Y,Wu L.A techinique for noise eliminationusing operator extrapolation in f-x domain.OGP(in Chinese),1999,34(3):325-331.
[2]付燕,赵荣椿.应用时空变-倾角扫描叠加KL变换提高地震资料信噪比.物探化探计算技术,2001,23(4):303-307.Fu Y,Zhao R C.Signal-to-noise ratio enhancement of seismicdata using space-time varying and dip scanning stack KLtransform.Computing Techniques for Geophysical andGeochemical Exploration(in Chinese),2001,23(4):303-307.
[3]俞寿朋,蔡希玲,苏永昌.用地震信号多项式拟合提高叠加剖面信噪比.石油地球物理勘探,1988,23(2):131-139.Yu S P,Cai X L,Su Y C.Improvement of signal-to-noise ratioof stack section using polynomial fitting of seismic signals.OGP(in Chinese),1988,23(2):131-139.
[4]王振国,汪恩华.小波包相关阀值去噪.石油物探,2002,41(4):400-405.Wang Z G,Wang E H.Noise elimination with correlativethreshold plus wavelet packet transformation.GeophysicalProspecting For Petroleum(in Chinese),2002,41(4):400-405.
[5]吴招才,刘天佑.地震数据去噪中的小波方法.地球物理学进展,2008,23(2):493-499.Wu Z C,Liu T Y.Wavelet transform methods in seismic datanoise attenuation.Progress in Geophysics(in Chinese),2008,23(2):493-499.
[6]王典,刘财,刘洋,等.基于提升算法和百分位数软阈值的小波去噪技术.地球物理学进展,2008,23(4):1124-1130.Wang D,Liu C,Liu Y,et al.Application of wavelet transformbased on lifting scheme and percentiles soft-threshold toelimination of seismic random noise.Progress in Geophysics(inChinese),2008,23(4):1124-1130.
[7]高静怀,毛剑,满蔚仕,等.叠前地震资料噪声衰减的小波域方法研究.地球物理学报,2006,49(4):1155-1163.Gao J H,Mao J,Man W S,et al.On the denoising method ofprestack seismic data in wavelet domain.Chinese J.Geophys.(in Chinese),2006,49(4):1155-1163.
[8]付才芳,罗国安.应用KL滤波提高地震记录的信噪比.石油地球物理勘探,1986,21(5):486-493.Fu C F,Luo G A.Signal-to-noise ratio of seismic data can beraised using KL filter.OGP(in Chinese),1988,21(5):131-139.
[9]Spitzer R,Nitsche F O,Green A G.Reducing source-generatednoise in shallow seismic data using linear and hyperbolicτ-ptransformations.Geophysics,2001,66(5):1612-1621.
[10]金雷,李月,杨宝俊.用时频峰值滤波方法消减地震勘探资料中随机噪声的初步研究.地球物理学进展,2005,20(3):724-728.Jin L,Li Y,Yang B J.Reduction of random noise for seismicdata by time-frequency peak filtering.Progress In Geophysics(in Chinese),2005,20(3):724-728.
[11]林红波,李月,徐学纯.压制地震勘探随机噪声的分段时频峰值滤波方法.地球物理学报,2011,54(5):1358-1366.Lin H B,Li Y,Xu X C.Segmenting time-frequency peakfiltering method to attenuation of seismic random noise.Chinese J.Geophys.(in Chinese),2011,54(5):1358-1366.
[12]刘财,王典,刘洋,等.二维多级中值滤波技术在随机噪声消除中的应用初探.石油地球物理勘探,2005,40(2):163-167.Liu C,Wang D,Liu Y,et al.Preliminary study of using 2Dmulti-level median filtering technique to eliminate randomnoises.OGP(in Chinese),2005,40(2):163-167.
[13]刘财,李红星,陶春辉,等.模糊嵌套多级中值滤波方法及其在地震数据处理中的应用.地球物理学报,2007,50(5):1534-1542.Liu C,Li H X,Tao C H,et al.A new fuzzy nesting multilevelmedian filter and its application to seismic data processing.Chinese J.Geophys.(in Chinese),2007,50(5):1534-1542.
[14]夏洪瑞,陈德刚,周开明,等.中值约束下的矢量分解去噪.石油物探,2001,40(1):29-33.Xia H R,Chen D L,Zhou K M.Noise elimination with medianconstrained vector resolution.Geophysical Prospecting ForPetroleum(in Chinese),2001,40(1):29-33.
[15]李文莲,邓辉,闫立志.鄂尔多斯盆地北部低信噪比资料的高分辨率处理.地球物理学进展,2005,20(4):1059-1066.Li W L,Deng H,Yan L Z.A high-resolution procedure of lowSNR data for North Ordos basin.Progress in Geophysics(inChinese),2005,20(4):1059-1066.
[16]Sacchi M D,Naghizadeh M.Adaptive linear predictionfiltering for random noise attenuation.SEG InternationalExposition and Annual Meeting,2009:3347-3351.
[17]张贤达.现代信号处理(第二版).北京:清华大学出版社,2002:69-87.Zhang X D.Modern Signal Processing(2nd ed)(in Chinese).Beijing:Springer,2002:69-87.
[18]Liu Z P,Chen X D,Li J Y.Noncausal spatial predictionfiltering based on an ARMA model.Applied Geophysics,2009,6(2):122-128.
[2]付燕,赵荣椿.应用时空变-倾角扫描叠加KL变换提高地震资料信噪比.物探化探计算技术,2001,23(4):303-307.Fu Y,Zhao R C.Signal-to-noise ratio enhancement of seismicdata using space-time varying and dip scanning stack KLtransform.Computing Techniques for Geophysical andGeochemical Exploration(in Chinese),2001,23(4):303-307.
[3]俞寿朋,蔡希玲,苏永昌.用地震信号多项式拟合提高叠加剖面信噪比.石油地球物理勘探,1988,23(2):131-139.Yu S P,Cai X L,Su Y C.Improvement of signal-to-noise ratioof stack section using polynomial fitting of seismic signals.OGP(in Chinese),1988,23(2):131-139.
[4]王振国,汪恩华.小波包相关阀值去噪.石油物探,2002,41(4):400-405.Wang Z G,Wang E H.Noise elimination with correlativethreshold plus wavelet packet transformation.GeophysicalProspecting For Petroleum(in Chinese),2002,41(4):400-405.
[5]吴招才,刘天佑.地震数据去噪中的小波方法.地球物理学进展,2008,23(2):493-499.Wu Z C,Liu T Y.Wavelet transform methods in seismic datanoise attenuation.Progress in Geophysics(in Chinese),2008,23(2):493-499.
[6]王典,刘财,刘洋,等.基于提升算法和百分位数软阈值的小波去噪技术.地球物理学进展,2008,23(4):1124-1130.Wang D,Liu C,Liu Y,et al.Application of wavelet transformbased on lifting scheme and percentiles soft-threshold toelimination of seismic random noise.Progress in Geophysics(inChinese),2008,23(4):1124-1130.
[7]高静怀,毛剑,满蔚仕,等.叠前地震资料噪声衰减的小波域方法研究.地球物理学报,2006,49(4):1155-1163.Gao J H,Mao J,Man W S,et al.On the denoising method ofprestack seismic data in wavelet domain.Chinese J.Geophys.(in Chinese),2006,49(4):1155-1163.
[8]付才芳,罗国安.应用KL滤波提高地震记录的信噪比.石油地球物理勘探,1986,21(5):486-493.Fu C F,Luo G A.Signal-to-noise ratio of seismic data can beraised using KL filter.OGP(in Chinese),1988,21(5):131-139.
[9]Spitzer R,Nitsche F O,Green A G.Reducing source-generatednoise in shallow seismic data using linear and hyperbolicτ-ptransformations.Geophysics,2001,66(5):1612-1621.
[10]金雷,李月,杨宝俊.用时频峰值滤波方法消减地震勘探资料中随机噪声的初步研究.地球物理学进展,2005,20(3):724-728.Jin L,Li Y,Yang B J.Reduction of random noise for seismicdata by time-frequency peak filtering.Progress In Geophysics(in Chinese),2005,20(3):724-728.
[11]林红波,李月,徐学纯.压制地震勘探随机噪声的分段时频峰值滤波方法.地球物理学报,2011,54(5):1358-1366.Lin H B,Li Y,Xu X C.Segmenting time-frequency peakfiltering method to attenuation of seismic random noise.Chinese J.Geophys.(in Chinese),2011,54(5):1358-1366.
[12]刘财,王典,刘洋,等.二维多级中值滤波技术在随机噪声消除中的应用初探.石油地球物理勘探,2005,40(2):163-167.Liu C,Wang D,Liu Y,et al.Preliminary study of using 2Dmulti-level median filtering technique to eliminate randomnoises.OGP(in Chinese),2005,40(2):163-167.
[13]刘财,李红星,陶春辉,等.模糊嵌套多级中值滤波方法及其在地震数据处理中的应用.地球物理学报,2007,50(5):1534-1542.Liu C,Li H X,Tao C H,et al.A new fuzzy nesting multilevelmedian filter and its application to seismic data processing.Chinese J.Geophys.(in Chinese),2007,50(5):1534-1542.
[14]夏洪瑞,陈德刚,周开明,等.中值约束下的矢量分解去噪.石油物探,2001,40(1):29-33.Xia H R,Chen D L,Zhou K M.Noise elimination with medianconstrained vector resolution.Geophysical Prospecting ForPetroleum(in Chinese),2001,40(1):29-33.
[15]李文莲,邓辉,闫立志.鄂尔多斯盆地北部低信噪比资料的高分辨率处理.地球物理学进展,2005,20(4):1059-1066.Li W L,Deng H,Yan L Z.A high-resolution procedure of lowSNR data for North Ordos basin.Progress in Geophysics(inChinese),2005,20(4):1059-1066.
[16]Sacchi M D,Naghizadeh M.Adaptive linear predictionfiltering for random noise attenuation.SEG InternationalExposition and Annual Meeting,2009:3347-3351.
[17]张贤达.现代信号处理(第二版).北京:清华大学出版社,2002:69-87.Zhang X D.Modern Signal Processing(2nd ed)(in Chinese).Beijing:Springer,2002:69-87.
[18]Liu Z P,Chen X D,Li J Y.Noncausal spatial predictionfiltering based on an ARMA model.Applied Geophysics,2009,6(2):122-128.
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