基于L_2范数的相关叠加去噪方法
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摘要
本文在研究传统相干算法的基础上,提出了一种利用邻域相关性的加权叠加压制地震随机噪声的方法,即利用L2范数估计邻域间的相似度,并以邻域间欧氏距离的高斯函数作为计算加权系数的策略,实现邻域点的相关叠加,从区域识别信号到局部保真压噪。模型及实际资料的处理计算结果表明:该方法能够有效消除随机干扰,且信号的保真度高,是低信噪比条件下资料处理的可行方法。
This paper concentrates on a method of correlative stacking to suppress seismic random noise.In examining the basis of the traditional coherence algorithm,we proposed a denoising method by weighted stacking via neighborhood correlation(WS-NC),namely using L2 norm which also called Euclidean distance to estimate the similarity between two neighborhoods.Then we apply the Gauss function on Euclid distance as the weighting coefficients when stacking neighborhood points.So the random noise can be identified from region and suppressed in the local,while the amplitude of effective reflected wave can be well maintained.Applications on both synthetic data and actual seismic data show that the new method eliminates the noise portion more efficiently and retains a greater amount of geologic data,and it may be an effective method for seismic data with low S/N ratio.
This paper concentrates on a method of correlative stacking to suppress seismic random noise.In examining the basis of the traditional coherence algorithm,we proposed a denoising method by weighted stacking via neighborhood correlation(WS-NC),namely using L2 norm which also called Euclidean distance to estimate the similarity between two neighborhoods.Then we apply the Gauss function on Euclid distance as the weighting coefficients when stacking neighborhood points.So the random noise can be identified from region and suppressed in the local,while the amplitude of effective reflected wave can be well maintained.Applications on both synthetic data and actual seismic data show that the new method eliminates the noise portion more efficiently and retains a greater amount of geologic data,and it may be an effective method for seismic data with low S/N ratio.
引文
[1]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):210～212An Yong and Yang Chang-chun.An improved dip-scanning method for denoise in frequency-wavenumberdomain.OGP,2008,43(2):210～212
[2]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):406～408An Yong.Fine coherent scanning method by seismicwave group feature.OGP,2009,44(4):406～408
[3]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):514～517Fan Ji-chang,Wang Fu-yun,Liu Ming-jun et al.De-noise by dip-angle sweeping high-order correlation inwavelet scale and space domains.OGP,2008,43(5):514～517
[4]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 Ji-chang,Liu Ming-jun,Wang Fu-yun et al.Dipscanning high order correlation denoise technique inwavelet packet node field and space domain.OGP,2009,44(6):695～699
[5]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):208～214Zhang Heng-lei,Liu Tian-you and Zhang Yun-cui.The method of de-noise by dip-angle sweeping in cur-velet and space domains based on high-order correla-tion.OGP,2010,45(2):208～214
[6]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):1534～1542Liu Cai,Li Hongxin,Tao Chunhui et al.A new fuzzynesting multilevel median filter and its application toseismic data processing.Chinese J Geophys,2007,50(5):1534～1542
[7]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):327～332Liu Yang,Liu Cai,Wang Dian et al.Application oftime-variant median filtering technique to attenuationof seismic random noises.OGP,2008,43(3):327～332
[8]Liu Yang,Liu Cai and Wang Dian.A 1Dtime-varyingmedian filter for seismic random,spike-like noise elim-ination.Geophysics,2009,74(1):V21～V24
[2]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):406～408An Yong.Fine coherent scanning method by seismicwave group feature.OGP,2009,44(4):406～408
[3]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):514～517Fan Ji-chang,Wang Fu-yun,Liu Ming-jun et al.De-noise by dip-angle sweeping high-order correlation inwavelet scale and space domains.OGP,2008,43(5):514～517
[4]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 Ji-chang,Liu Ming-jun,Wang Fu-yun et al.Dipscanning high order correlation denoise technique inwavelet packet node field and space domain.OGP,2009,44(6):695～699
[5]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):208～214Zhang Heng-lei,Liu Tian-you and Zhang Yun-cui.The method of de-noise by dip-angle sweeping in cur-velet and space domains based on high-order correla-tion.OGP,2010,45(2):208～214
[6]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):1534～1542Liu Cai,Li Hongxin,Tao Chunhui et al.A new fuzzynesting multilevel median filter and its application toseismic data processing.Chinese J Geophys,2007,50(5):1534～1542
[7]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):327～332Liu Yang,Liu Cai,Wang Dian et al.Application oftime-variant median filtering technique to attenuationof seismic random noises.OGP,2008,43(3):327～332
[8]Liu Yang,Liu Cai and Wang Dian.A 1Dtime-varyingmedian filter for seismic random,spike-like noise elim-ination.Geophysics,2009,74(1):V21～V24
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