基于块匹配协同滤波的三维地震信号去噪
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摘要
提出了一种基于块匹配协同滤波的三维地震信号去噪算法.该算法将块匹配四维协同滤波(BM4D)算法基础估计中的小波变换用离散余弦变换取代,提高了BM4D基础估计的信噪比,同时给BM4D最终估计中的经验维纳滤波提供更接近原始信号的能量谱,从而达到提高整体去噪效果的目的.合成三维地震信号和实际复杂三维地震信号去噪结果表明,和基础估计分别采用bior1.5、bior2.4、dmey小波变换的BM4D算法相比,该算法对三维地震信号具有更优的去噪效果.
A three-dimensional seismic signal denoising algorithm based on block-matching and collaborative filtering is proposed.This algorithm replaces the wavelet transform in the basic estimation of block matching 4D filtering(BM4D) algorithm with discrete cosine transform,which has improved the signal to noise ratio of BM4D basic estimates.Give a closer energy spectrum of the original signal to experience wiener filtering of BM4D final estimate so as to improve the overall denoising effect.The denoising results on synthetic three-dimensional seismic signals and real complex three-dimensional seismic signals illustrate that the proposed method can denoise the three-dimensional seismic signals very well,comparing with BM4D denoising algorithm basic estimates based on bior1.5,bior2.4 and dmey wavelet transform.
A three-dimensional seismic signal denoising algorithm based on block-matching and collaborative filtering is proposed.This algorithm replaces the wavelet transform in the basic estimation of block matching 4D filtering(BM4D) algorithm with discrete cosine transform,which has improved the signal to noise ratio of BM4D basic estimates.Give a closer energy spectrum of the original signal to experience wiener filtering of BM4D final estimate so as to improve the overall denoising effect.The denoising results on synthetic three-dimensional seismic signals and real complex three-dimensional seismic signals illustrate that the proposed method can denoise the three-dimensional seismic signals very well,comparing with BM4D denoising algorithm basic estimates based on bior1.5,bior2.4 and dmey wavelet transform.
引文
[1]Duncan G,Beresford G.Some analyses of 2-D median f-k filters[J].Geophysics,1995,60(4):1157-1168.
[2]王金龙,胡治权.三维锥形滤波方法研究及应用[J].石油地球物理勘探,2012,47(5):705-711.
[3]杨千里,吴国忱,赵小龙.三维各向异性扩散滤波在地震数据处理中的应用[J].地球物理学进展,2015(5):2287-2292.
[4]范桃园,杨长春.自适应三维地震保边界去噪方法及应用[J].石油地球物理勘探,2009,44(5):558-563.
[5]Mallat S,Mallat S.A theory for multidimensional signal decomposition:the wavelet representation[J].IEEE Trans Pattern Analysis&Machine Intelligence,1989,11(7):674-693.
[6]Han J,Mirko V D B.Microseismic and seismic denoising via ensemble empirical mode decomposition and adaptive thresholding[J].Geophysics,2015,80(6):KS69-KS80.
[7]Górszczyk A,Adamczyk A,Malinowski M.Application of curvelet denoising to 2D and 3D seismic data—Practical considerations[J].Journal of Applied Geophysics,2014,105(2):78-94.
[8]刘伟,曹思远,王征,等.基于贝叶斯阈值估计的曲波域自适应随机噪声衰减[J].石油物探,2013,52(2):115-120.
[9]Deans S R.The Radon Transform and Some of Its Application[J].New York:John Wiley&Sons Inc,1983,223(1):3-4.
[10]Sabbione J I,Velis D R,Sacchi M D.Microseismic data denoising via an apex-shifted hyperbolic Radon transform[C]//Seg Technical Program Expanded Abstracts.Society of Exploration Geophysicists,2013:2155-2161.
[11]彭才,常智,韩朝军,等.基于Contourlet变换的地震噪声衰减[J].油气藏评价与开发,2008,31(4):274-277.
[12]Fei L,Duan W,Zhao R,et al.Seismic signal to noise ratio improvement with volumeτ-p transform in OVT domain[J].Oil Geophysical Prospecting,2015,50(3):418-423.
[13]Fomel S,Liu Y.Seislet transform and seislet frame[J].Geophysics,2010,75(3):25-38.
[14]Ru-Shan Wu,Yu Geng and Lingling Ye.Preliminary study on Dreamlet based compressive sensing data recovery[C]//83h Annual Int.Meeting,SEG,Huston,Expanded Abstracts,2013:3585-3590.
[15]李财莲,孙即祥,康耀红.图像多尺度几何分析综述[J].海南大学学报(自然科学版),2011,29(3):275-283
[16]张广智,常德宽,王一惠,等.基于稀疏冗余表示的三维地震数据随机噪声压制[J].石油地球物理勘探,2015,50(4):600-606.
[17]Cao J,Zhao J.Simultaneous seismic interpolation and denoising based on sparse inversion with a 3D low redundancy curvelet transform[J].Exploration Geophysics,2016,46(6):1-8.
[18]Chen Y,Huang W,Zhang D,et al.An open-source Matlab code package for improved rank-reduction 3D seismic data denoising and reconstruction[J].Computers&Geosciences,2016,95(C):59-66.
[19]Maggioni M,Katkovnik V,Egiazarian K,et al.Nonlocal transform-domain filter for volumetric data denoising and reconstruction.[J].IEEE Transactions on Image Processing,2013,22(1):119-133.
[20]Maggioni M,Foi A.Nonlocal transform-domain denoising of volumetric data with groupwise adaptive variance estimation[C]//IS&T/SPIE Electronic Imaging.International Society for Optics and Photonics,2012:829600-829600-8.
[2]王金龙,胡治权.三维锥形滤波方法研究及应用[J].石油地球物理勘探,2012,47(5):705-711.
[3]杨千里,吴国忱,赵小龙.三维各向异性扩散滤波在地震数据处理中的应用[J].地球物理学进展,2015(5):2287-2292.
[4]范桃园,杨长春.自适应三维地震保边界去噪方法及应用[J].石油地球物理勘探,2009,44(5):558-563.
[5]Mallat S,Mallat S.A theory for multidimensional signal decomposition:the wavelet representation[J].IEEE Trans Pattern Analysis&Machine Intelligence,1989,11(7):674-693.
[6]Han J,Mirko V D B.Microseismic and seismic denoising via ensemble empirical mode decomposition and adaptive thresholding[J].Geophysics,2015,80(6):KS69-KS80.
[7]Górszczyk A,Adamczyk A,Malinowski M.Application of curvelet denoising to 2D and 3D seismic data—Practical considerations[J].Journal of Applied Geophysics,2014,105(2):78-94.
[8]刘伟,曹思远,王征,等.基于贝叶斯阈值估计的曲波域自适应随机噪声衰减[J].石油物探,2013,52(2):115-120.
[9]Deans S R.The Radon Transform and Some of Its Application[J].New York:John Wiley&Sons Inc,1983,223(1):3-4.
[10]Sabbione J I,Velis D R,Sacchi M D.Microseismic data denoising via an apex-shifted hyperbolic Radon transform[C]//Seg Technical Program Expanded Abstracts.Society of Exploration Geophysicists,2013:2155-2161.
[11]彭才,常智,韩朝军,等.基于Contourlet变换的地震噪声衰减[J].油气藏评价与开发,2008,31(4):274-277.
[12]Fei L,Duan W,Zhao R,et al.Seismic signal to noise ratio improvement with volumeτ-p transform in OVT domain[J].Oil Geophysical Prospecting,2015,50(3):418-423.
[13]Fomel S,Liu Y.Seislet transform and seislet frame[J].Geophysics,2010,75(3):25-38.
[14]Ru-Shan Wu,Yu Geng and Lingling Ye.Preliminary study on Dreamlet based compressive sensing data recovery[C]//83h Annual Int.Meeting,SEG,Huston,Expanded Abstracts,2013:3585-3590.
[15]李财莲,孙即祥,康耀红.图像多尺度几何分析综述[J].海南大学学报(自然科学版),2011,29(3):275-283
[16]张广智,常德宽,王一惠,等.基于稀疏冗余表示的三维地震数据随机噪声压制[J].石油地球物理勘探,2015,50(4):600-606.
[17]Cao J,Zhao J.Simultaneous seismic interpolation and denoising based on sparse inversion with a 3D low redundancy curvelet transform[J].Exploration Geophysics,2016,46(6):1-8.
[18]Chen Y,Huang W,Zhang D,et al.An open-source Matlab code package for improved rank-reduction 3D seismic data denoising and reconstruction[J].Computers&Geosciences,2016,95(C):59-66.
[19]Maggioni M,Katkovnik V,Egiazarian K,et al.Nonlocal transform-domain filter for volumetric data denoising and reconstruction.[J].IEEE Transactions on Image Processing,2013,22(1):119-133.
[20]Maggioni M,Foi A.Nonlocal transform-domain denoising of volumetric data with groupwise adaptive variance estimation[C]//IS&T/SPIE Electronic Imaging.International Society for Optics and Photonics,2012:829600-829600-8.