基于Contourlet变换的地震噪声衰减
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摘要
在地震勘探中,随机噪声是一种频带较宽的干扰波,常规的去噪方法效果不理想。Contourlet变换具有多尺度和多方向性特点,在计算中,将多尺度分析和方向分析分步进行。首先介绍Contourlet变换的基本原理及实现方法,并进行地震资料仿真计算和实例计算,利用拉普拉斯金字塔塔形分解完成Contourlet变换的多尺度分解,再利用方向滤波器组完成Contourlet各个尺度上的方向分解。在Contourlet变换域对Contourlet变换系数采用阀值处理,再做反变换,从而实现地震数据去噪。结果证明Contourlet变换去噪具有较好的效果,易于实现,有一定的可行性和较好的应用前景。
Random noise is one kind of interference that is broadband and deteriorates signal-to-noise ratio of signals in seismic exploration.Commonly used noise removal methods fail to yield desired results.Contourlet transform is characterized by multi-scale and multi-directivity Noises are eliminated as follows.Firstly,decompose seismic data with Laplacian pyramid,then apply directional filter bank to the resulted data,after that perform threshold process on contourlet coefficients in contourlet domain,and finally carry out inverse transform to accomplish noise removal.In this paper,the author discussed the principles of contourlet transform and its realization,and demonstrated the method with theoretical and read data.
Random noise is one kind of interference that is broadband and deteriorates signal-to-noise ratio of signals in seismic exploration.Commonly used noise removal methods fail to yield desired results.Contourlet transform is characterized by multi-scale and multi-directivity Noises are eliminated as follows.Firstly,decompose seismic data with Laplacian pyramid,then apply directional filter bank to the resulted data,after that perform threshold process on contourlet coefficients in contourlet domain,and finally carry out inverse transform to accomplish noise removal.In this paper,the author discussed the principles of contourlet transform and its realization,and demonstrated the method with theoretical and read data.
引文
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11易文娟,郁梅,蒋刚毅.Contourlet:一种有效的方向多尺度变换分析方法[J].计算机应用研究,2006,23(9):18~22
12 Burt P J,Adelson E H.The Laplacian pyramid as acompact image code[J].IEEE Transactions on Com-munications,1983,31(4):532~540
13 Po D D Y,Do M N.Directional multiscale modelingof images using the contourlet transform[J].IEEEWorkshop on Statistical Signal Processing,2003,28:262~265
14 Do M N,Vetterli M.The contourlet transform:an ef-ficient directional multiresolution image representation[J].IEEE Transactions on Image Processing,2005,53(1):1~16
15 Phoong S M,Vaidyanathan P P,Ansari R,et al.Anew class of two-channel biorthogonal filter banks andwavelet bases[J].IEEE Transaction on Signal Process-ing,1995,43(3):649~665
2夏洪瑞,陈德刚,周开明.地震资料处理中随机干扰消除方法分析[J].石油物探,2003,42(1):93~96
3彭才,朱仕军,孙建库,等.基于独立成分分析的地震数据去噪[J].勘探地球物理进展,2007,30(1):30~32
4王振国,汪恩华.小波包相关阀值去噪[J].石油物探,2002,41(4):400~405
5陈香朋,曹思远.第二代小波变换及其在地震信号去噪中的应用[J].石油物探,2004,43(6):547~550
6彭才,朱仕军,孙建库,等.小波变换域K-L变换及其去噪效果分析[J].石油物探,2007,46(2):112~114
7杨立强,宋海斌,郝天珧,等.基于二维小波变换的随机噪声压制方法研究[J].石油物探,2005,44(1):4~6
8王立华,曹辉,唐金良,等.小波包分析法压制井间地震资料噪声[J].勘探地球物理进展,2005,28(1):32~35
9 Do M N,Vetterli M.Contourlets:A directional multi-resolution image representation[A].In:IEEE.Pro-cessing of IEEE 9thInternational Conference of ImageProcessing[C].Rochester:IEEE,2002.357~360
10董鸿燕,扬卫平,沈振康.基于Contourlet变换的自适应图像去噪方法[J].红外技术,2006,28(9):552~556
11易文娟,郁梅,蒋刚毅.Contourlet:一种有效的方向多尺度变换分析方法[J].计算机应用研究,2006,23(9):18~22
12 Burt P J,Adelson E H.The Laplacian pyramid as acompact image code[J].IEEE Transactions on Com-munications,1983,31(4):532~540
13 Po D D Y,Do M N.Directional multiscale modelingof images using the contourlet transform[J].IEEEWorkshop on Statistical Signal Processing,2003,28:262~265
14 Do M N,Vetterli M.The contourlet transform:an ef-ficient directional multiresolution image representation[J].IEEE Transactions on Image Processing,2005,53(1):1~16
15 Phoong S M,Vaidyanathan P P,Ansari R,et al.Anew class of two-channel biorthogonal filter banks andwavelet bases[J].IEEE Transaction on Signal Process-ing,1995,43(3):649~665
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