基于反射波各向异性特征的保真去噪方法
|
摘要
联合地震数据的L_2范数以及各向异性函数所表达的地震波组特征的L1范数,定义了空间域加权叠加系数,将传统的地震信号非均匀叠加转化为均匀叠加,压制随机噪声、改善同相轴连续性,提高地震资料后期处理解释的精度。针对地震资料保真去噪的要求,基于反射波的各向异性与随机噪声的各向同性特征,构造各向异性函数并通过加权叠加数据的保真实现地震数据的压噪。模型及实际资料的处理结果表明,该方法能够有效压制随机干扰,尤其对弱反射波的处理具有较好的保幅效果。
Combing the L_2 norm with the L_1 norm of seismic data,we propose a weighting functionwhich transforms routine non-uniformity stacking for seismic data into uniformity stacking to suppress random noise and enhance the continuity of the reflection events.This approach improves seismic data precision for later data processing and interpretation.As reflection waves show anisotropic and noise is isotropic,we construct an anisotropic function and apply it in the weighted stacking to suppress noise based on the fidelity de-noising.Model and seismic data tests show that the proposed method can not only effectively suppress random noise but also preserve seismic amplitudes even weak reflection.
Combing the L_2 norm with the L_1 norm of seismic data,we propose a weighting functionwhich transforms routine non-uniformity stacking for seismic data into uniformity stacking to suppress random noise and enhance the continuity of the reflection events.This approach improves seismic data precision for later data processing and interpretation.As reflection waves show anisotropic and noise is isotropic,we construct an anisotropic function and apply it in the weighted stacking to suppress noise based on the fidelity de-noising.Model and seismic data tests show that the proposed method can not only effectively suppress random noise but also preserve seismic amplitudes even weak reflection.
引文
[1]林红波,马海涛,许丽萍.压制空间非平稳地震勘探随机噪声的ROAD径向时频峰值滤波算法.地球物理学报,2015,58(7):2546-2555.Lin Hongbo,Ma Haitao,Xu Liping.A radical timefrequency peak filtering based on ROAD for suppressing spatially nonstationary random noise in seismic data.Chinese Journal of Geophysics,58(7):2546-2555.
[2]林红波,马海涛,李月等.基于SW统计量的自适应时频峰值滤波压制地震勘探随机噪声研究.地球物理学报,2015,58(12):4560-4567.Lin Hongbo,Ma Haitao,Li Yue et al.Elimination of seismic random noise based on the SW statistic adaptive TFPF.Chinese Journal of Geophysics,2015,58(12):4560-4567.
[3]Deng X,Ma H,Li Y et al.Seismic random noise attenuation based on adaptive time-frequency peak filtering.Journal of Applied Geophysics,2015,113(10):31-37.
[4]刘志鹏,赵伟,陈小宏等.局部频率域SVD压制随机噪声方法.石油地球物理勘探,2012,47(2):202-206.Liu Zhipeng,Zhao Wei,Chen Xiaohong et al.Local SVD for random noise supperssion of seismic data in frequency domain.OGP,2012,47(2):202-206.
[5]Wang X,Gao J,Chen W et al.The seismic random noise attenuation method based on enhanced bandelet transform.Journal of Applied Geophysics,2015,116:146-155.
[6]安勇,杨长春.一种改进的频率—波数域倾角扫描去噪方法.石油地球物理勘探,2008,43(2):210-212.An Yong and Yang Changchun.An improved dipscanning method for denoise in frequency-wavenumber domain.OGP,2008,43(2):210-212.
[7]安勇.利用地震波组特征的精细相干扫描方法.石油地球物理勘探,2009,44(4):406-408.An Yong.Fine coherent scanning method by seismic wave group feature.OGP,2009,44(4):406-408.
[8]樊计昌,王夫运,刘明军等.小波尺度域和空间域倾角扫描高阶相关去噪技术.石油地球物理勘探,2008,43(5):514-517.Fan Jichang,Wang Fuyun,Liu Mingjun et al.Denoise by dip-angle sweeping high-order correlation in wavelet scale and space domains.OGP,2008,43(5):514-517.
[9]樊计昌,刘明军,王夫运等.小波包节点域和空间域倾角扫描高阶相关去噪技术.石油地球物理勘探,2009,44(6):695-699Fan Jichang,Liu Mingjun,Wang Fuyun et al.Dip scanning high order correlation denoise technique in wavelet packet node field and space domain.OGP,2009,44(6):695-699.
[10]张恒磊,张云翠,宋双等.基于Curvelet域的叠前地震资料去噪方法.石油地球物理勘探,2008,43(5):508-513.Zhang Henglei,Zhang Yuncui,Song Shuang et al.Curvelet domain-based prestack seismic data denoisemethod.OGP,2008,43(5):508-513.
[11]张恒磊,刘天佑,张云翠.基于高阶相关的curvelet域和空间域倾角扫描噪声压制方法.石油地球物理勘探,2010,45(2):208-214.Zhang Henglei,Liu Tianyou and Zhang Yuncui.The method of de-noise by dip-angle sweeping in curvelet and space domains based on high-order correlation.OGP,2010,45(2):208-214.
[12]张恒磊,李名勇,刘天佑.Contourlet域相关和阈值衰减联合去噪方法及在地震资料处理中的应用.武汉大学学报(信息科学版),2011,36(9):1047-1050.Zhang Henglei,Li Mingyong,Liu Tianyou.Joint denoising of correlation and thresholding in contourlet domain and its application to seismic data.Geomatics and Information Science of Wuhan University,2011,36(9):1047-1050.
[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 Cai,Li Hongxing,Tao Chunhui et al.A new fuzzy nesting multilevel median filter and its application to seismic data processing.Chinese Journal of Geophysics,2007,50(5):1534-1542.
[14]刘洋,刘财,王典等.时变中值滤波技术在地震随机噪声衰减中的应用.石油地球物理勘探,2008,43(3):327-332.Liu Yang,Liu Cai,Wang Dian et al.Application of time-variant median filtering technique to attenuation of seismic random noises.OGP,2008,43(3):327-332.
[15]Liu Yang,Liu Cai and Wang Dian.A 1Dtime-varying median filter for seismic random,spike-like noise elimination.Geophysics,2009,74(1):v17-v24.
[16]刘洋,王典,刘财等.基于非平稳相似性系数的构造导向滤波及断层检测方法.地球物理学报,2014,57(4):1177-1187.Liu Yang,Wang Dian,Liu Cai et al.Structure-oriented filtering and fault detection based on nonstationary similarity.Chinese Journal of Geophysics,2014,57(4):1177-1187.
[17]刘洋,王典,刘财等.局部相关加权中值滤波技术及其在叠后随机噪声衰减中的应用.地球物理学报,2011,54(2):358-367.Liu Yang,Wang Dian,Liu Cai et al.Weighted median filter based on local correlation and its application to post-stack random noise attenuation.Chinese Journal of Geophysics,2011,54(2):358-367.
[18]徐海,樊太亮,赵夏等.基于矢量中值滤波的ISS高密度地震数据去噪方法.石油地球物理勘探,2013,48(3):340-344.Xu Hai,Fan Tailiang,Zhao Xia et al.A deblending method based on vector median filter for ISS high density seismic data.OGP,2013,48(3):340-344.
[19]张恒磊,刘天佑,胡祥云.基于L2范数的相关叠加去噪方法.石油地球物理勘探,2012,47(1):37-45.Zhang Henglei,Liu Tianyou,Hu Xiangyun.Denoising by correlative stacking via L2norm.OGP,2012,47(1):37-45.
[20]Chen Y,Fomel S.Random noise attenuation using local signal-and-noise orthogonalization.Geophysics,2015,80(6):WD1-WD9.
[21]Nazari Siahsar M A,Gholtashi S,Kahoo A R et al.Sparse time-frequency representation for seismic noise reduction using low-rank and sparse decomposition.Geophysics,2016,81(2):V31-V38.
[22]Zhang Henglei,Ravat D,Marangoni Y R et al.NAVEdge:Edge detection of potential field sources using normalized anisotropy variance.Geophysics,2014,79(3):J43-J53.
[23]刘洋,李承楚.地震资料信噪比估计的几种方法.石油地球物理勘探,1997,32(2):257-262.Liu Yang and Li Chengchu.Some methods for estimating the signal/noise ratio of seismic data.OGP,1997,32(2):257-262.
[24]董兆斌.一种估计信噪比的方法.石油地球物理勘探,1981,16(2):70-75.Dong Zhaobin.One method for estimating the signal/noise ratio.OGP,1981,16(2):70-75.
[25]吴爱弟,曹思远.利用平衡双正交多小波变换进行地震数据去噪与压缩.石油地球物理勘探,2004,39(6):635-640.Wu Aidi and Cao Siyuan.Noise-elimination and compression of seismic data using balanced biorthogonal multi-wavelets transform.OGP,2004,39(6):635-640.
[26]付燕,基于二次小波变换的地震信号去噪方法.石油地球物理勘探,2005,40(2):154-157.Fu Yan.Noise-eliminated method for seismic signal based on second wavelet transform.OGP,2005,40(2):154-157.
[2]林红波,马海涛,李月等.基于SW统计量的自适应时频峰值滤波压制地震勘探随机噪声研究.地球物理学报,2015,58(12):4560-4567.Lin Hongbo,Ma Haitao,Li Yue et al.Elimination of seismic random noise based on the SW statistic adaptive TFPF.Chinese Journal of Geophysics,2015,58(12):4560-4567.
[3]Deng X,Ma H,Li Y et al.Seismic random noise attenuation based on adaptive time-frequency peak filtering.Journal of Applied Geophysics,2015,113(10):31-37.
[4]刘志鹏,赵伟,陈小宏等.局部频率域SVD压制随机噪声方法.石油地球物理勘探,2012,47(2):202-206.Liu Zhipeng,Zhao Wei,Chen Xiaohong et al.Local SVD for random noise supperssion of seismic data in frequency domain.OGP,2012,47(2):202-206.
[5]Wang X,Gao J,Chen W et al.The seismic random noise attenuation method based on enhanced bandelet transform.Journal of Applied Geophysics,2015,116:146-155.
[6]安勇,杨长春.一种改进的频率—波数域倾角扫描去噪方法.石油地球物理勘探,2008,43(2):210-212.An Yong and Yang Changchun.An improved dipscanning method for denoise in frequency-wavenumber domain.OGP,2008,43(2):210-212.
[7]安勇.利用地震波组特征的精细相干扫描方法.石油地球物理勘探,2009,44(4):406-408.An Yong.Fine coherent scanning method by seismic wave group feature.OGP,2009,44(4):406-408.
[8]樊计昌,王夫运,刘明军等.小波尺度域和空间域倾角扫描高阶相关去噪技术.石油地球物理勘探,2008,43(5):514-517.Fan Jichang,Wang Fuyun,Liu Mingjun et al.Denoise by dip-angle sweeping high-order correlation in wavelet scale and space domains.OGP,2008,43(5):514-517.
[9]樊计昌,刘明军,王夫运等.小波包节点域和空间域倾角扫描高阶相关去噪技术.石油地球物理勘探,2009,44(6):695-699Fan Jichang,Liu Mingjun,Wang Fuyun et al.Dip scanning high order correlation denoise technique in wavelet packet node field and space domain.OGP,2009,44(6):695-699.
[10]张恒磊,张云翠,宋双等.基于Curvelet域的叠前地震资料去噪方法.石油地球物理勘探,2008,43(5):508-513.Zhang Henglei,Zhang Yuncui,Song Shuang et al.Curvelet domain-based prestack seismic data denoisemethod.OGP,2008,43(5):508-513.
[11]张恒磊,刘天佑,张云翠.基于高阶相关的curvelet域和空间域倾角扫描噪声压制方法.石油地球物理勘探,2010,45(2):208-214.Zhang Henglei,Liu Tianyou and Zhang Yuncui.The method of de-noise by dip-angle sweeping in curvelet and space domains based on high-order correlation.OGP,2010,45(2):208-214.
[12]张恒磊,李名勇,刘天佑.Contourlet域相关和阈值衰减联合去噪方法及在地震资料处理中的应用.武汉大学学报(信息科学版),2011,36(9):1047-1050.Zhang Henglei,Li Mingyong,Liu Tianyou.Joint denoising of correlation and thresholding in contourlet domain and its application to seismic data.Geomatics and Information Science of Wuhan University,2011,36(9):1047-1050.
[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 Cai,Li Hongxing,Tao Chunhui et al.A new fuzzy nesting multilevel median filter and its application to seismic data processing.Chinese Journal of Geophysics,2007,50(5):1534-1542.
[14]刘洋,刘财,王典等.时变中值滤波技术在地震随机噪声衰减中的应用.石油地球物理勘探,2008,43(3):327-332.Liu Yang,Liu Cai,Wang Dian et al.Application of time-variant median filtering technique to attenuation of seismic random noises.OGP,2008,43(3):327-332.
[15]Liu Yang,Liu Cai and Wang Dian.A 1Dtime-varying median filter for seismic random,spike-like noise elimination.Geophysics,2009,74(1):v17-v24.
[16]刘洋,王典,刘财等.基于非平稳相似性系数的构造导向滤波及断层检测方法.地球物理学报,2014,57(4):1177-1187.Liu Yang,Wang Dian,Liu Cai et al.Structure-oriented filtering and fault detection based on nonstationary similarity.Chinese Journal of Geophysics,2014,57(4):1177-1187.
[17]刘洋,王典,刘财等.局部相关加权中值滤波技术及其在叠后随机噪声衰减中的应用.地球物理学报,2011,54(2):358-367.Liu Yang,Wang Dian,Liu Cai et al.Weighted median filter based on local correlation and its application to post-stack random noise attenuation.Chinese Journal of Geophysics,2011,54(2):358-367.
[18]徐海,樊太亮,赵夏等.基于矢量中值滤波的ISS高密度地震数据去噪方法.石油地球物理勘探,2013,48(3):340-344.Xu Hai,Fan Tailiang,Zhao Xia et al.A deblending method based on vector median filter for ISS high density seismic data.OGP,2013,48(3):340-344.
[19]张恒磊,刘天佑,胡祥云.基于L2范数的相关叠加去噪方法.石油地球物理勘探,2012,47(1):37-45.Zhang Henglei,Liu Tianyou,Hu Xiangyun.Denoising by correlative stacking via L2norm.OGP,2012,47(1):37-45.
[20]Chen Y,Fomel S.Random noise attenuation using local signal-and-noise orthogonalization.Geophysics,2015,80(6):WD1-WD9.
[21]Nazari Siahsar M A,Gholtashi S,Kahoo A R et al.Sparse time-frequency representation for seismic noise reduction using low-rank and sparse decomposition.Geophysics,2016,81(2):V31-V38.
[22]Zhang Henglei,Ravat D,Marangoni Y R et al.NAVEdge:Edge detection of potential field sources using normalized anisotropy variance.Geophysics,2014,79(3):J43-J53.
[23]刘洋,李承楚.地震资料信噪比估计的几种方法.石油地球物理勘探,1997,32(2):257-262.Liu Yang and Li Chengchu.Some methods for estimating the signal/noise ratio of seismic data.OGP,1997,32(2):257-262.
[24]董兆斌.一种估计信噪比的方法.石油地球物理勘探,1981,16(2):70-75.Dong Zhaobin.One method for estimating the signal/noise ratio.OGP,1981,16(2):70-75.
[25]吴爱弟,曹思远.利用平衡双正交多小波变换进行地震数据去噪与压缩.石油地球物理勘探,2004,39(6):635-640.Wu Aidi and Cao Siyuan.Noise-elimination and compression of seismic data using balanced biorthogonal multi-wavelets transform.OGP,2004,39(6):635-640.
[26]付燕,基于二次小波变换的地震信号去噪方法.石油地球物理勘探,2005,40(2):154-157.Fu Yan.Noise-eliminated method for seismic signal based on second wavelet transform.OGP,2005,40(2):154-157.