地震信号稀疏分解的快速方法
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摘要
稀疏化方法由于能够实现地震信号的高精度分解,已经成为重要的地震信号处理技术.目前地震信号稀疏分解常采用的方法是匹配追踪算法(Matching Pursuit,MP),但所得结果不够稀疏.针对此局限,提出了一种基于重复加权提升搜索算法(Repeated Weighted Boostmg Search,RWBS)的快速分解方法.首先,根据地震信号的频谱图缩小频率搜索范围;然后,将搜索算法RWBS与正交匹配追踪(Orthogonal Matching Pursuit,OMP)方法相结合,就得到一种快速的稀疏分解方法,将本文的方法应用到人工合成和实际的地震数据处理中,并与MP和OMP追踪算法作比较,说明采用本文方法进行地震信号分解在稀疏度和分解速度方面都有提高,仿真实验结果表明,与MP和OMP分解算法相比,在满足相同的分解精度条件下,RWBS算法不仅大大提高了分解的稀疏度,而且提高分解速度.与OMP算法相比较.基于RWBS的新方法分解所需的时间减少了约87%;与MP算法相比较,新方法分解所需的时间减少约50%.
Sparse representation has become an important seismic processing technology.Matching pursuit(MP)algorithm is often used in sparse decomposition of seismic signal,but the resulting method is not sparse.Another common algorithm.orthogonal matching pursuit(()MP)algorithm,is much sparser than MP.but the complexity of OMP algorithm is lot) high.In order to overcome those problems,we propose a rapid method of decomposition,which is combined repeated weighted boosting search(RWBS) with()MP.The search space is significantly reduced by investigating the frequency scope of given seismic records.Application of the proposed method to synthetic data and real data of seismic,and comparison of the results with other used decomposition approaches of MP and OMP.illustrate the ability of our approach to provide seismic data decomposition results highly localized in both sparsity and running time.Numerical simulations show that,algorithm based on RWBS performed much better than the traditional ones in terms of running time,sparsity and accuracy.Compered with OMP algorithm,the running time of new algorithm based on RWBS is reduced by about 87%,compared with MP algorithm,it is declined by about 50%.
Sparse representation has become an important seismic processing technology.Matching pursuit(MP)algorithm is often used in sparse decomposition of seismic signal,but the resulting method is not sparse.Another common algorithm.orthogonal matching pursuit(()MP)algorithm,is much sparser than MP.but the complexity of OMP algorithm is lot) high.In order to overcome those problems,we propose a rapid method of decomposition,which is combined repeated weighted boosting search(RWBS) with()MP.The search space is significantly reduced by investigating the frequency scope of given seismic records.Application of the proposed method to synthetic data and real data of seismic,and comparison of the results with other used decomposition approaches of MP and OMP.illustrate the ability of our approach to provide seismic data decomposition results highly localized in both sparsity and running time.Numerical simulations show that,algorithm based on RWBS performed much better than the traditional ones in terms of running time,sparsity and accuracy.Compered with OMP algorithm,the running time of new algorithm based on RWBS is reduced by about 87%,compared with MP algorithm,it is declined by about 50%.
引文
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Charles D,Stephane M C,Ecole P.2005.Sparse spike deconvolution with minimum scale[C].Proceeding of Signal Processing with Adaptive Sparse Structure Representations,123-126.
Chen F Y,Yang C C.2007.Seismic signal's decomposition based on matching pursuit method[J].Progress in Geophysics(in Chinese),22(6):1692-1697.
Chen Y D.2006.Geophysical information processing foundation(in Chinese)[M].Beijing:Geological Press.
Deng X Y,Liu T,Luo Y.2011.Robustness of least squares support vector regression filtering method with Ricker wavelet kernel[J].Chinese J.Geophys.(in Chinese),54(3):845-853.
Fu Y.2002.Research on de-noising methods of seismic data(in Chinese)[D].Xi'an:The Doctoral Dissertation of Northwest Industry University.
Ismael V R,Mauricio S,Yu J G.2012.Simultaneous recovery of origin time,hypocentre location and seismic moment tensor using sparse representation theory[J].Geophysical Journal International,188(3):1188-1202.
Li X L,Sun C,Yuan Y M,et al.2013.Diffracted wave separation by applying self-adaptive least square filtering method[J].Progress in Geophysics(in Chinese),(2):777-784,doi:10.6038/pg20130226.
Liu J L,Wu Y F,Li X G.2004.Time-Frequency decomposition based on Ricker wavelet[C].Expanded Abstracts of 74th SEG Annual International Meeting,1937-1940.
Mallat S G,Zhang Z F.1993.Matching pursuits with time frequency dictionaries[J].IEEE Transactions on Signal Processing,41(12):3397-3415.
Ron M,Gunnar R.2003.An introduction to boosting and leveraging[C].//Mendelson S,Smola A.Advanced Lectures in Machine Learning.New York:Springer Verlag,119-184.
Sheng C,Wang X X,Harris C J.2005.Experiments with repeating weighted boosting search for optimization in signal processing applications[J].IEEE Transactions on Systems Man Cybernetics B,Cybernetics,35(4):682-693.
Shi Y,Wang J M,Jing H L,et al.2013.Suppressing surfacerelated multiple by multi-trace adaptive matching filter approach[J].Progress in Geophysics(in Chinese),(2):785-792,doi:10.6038/pg20130227.
Shu W J,Yuan Z G,Yin Z K.2009.Signal MP-based sparse decomposition with artificial fish-swarm algorithm[J].Application Research of Computers(in Chinese),26(1):66-67.
Wang C M,Yang S L.2010.Seismic signal's MP decomposition based on Ricker wavelet[J].Computer Knowledge and Technology(in Chinese),6(4):976-978.
Wang J Y,Yin Z K,Zhang C M.2006.Signal and image sparse decomposition and preliminary Application(in Chinese)[M].Chengdou:Southwest Jiaotong University Press.
Wang Y H.2007.Seismic time frequency spectral decomposition by matching pursuit[J].Geophysics,72(1):13-20.
Wu G N,Cao S Y,Sun N.2012.Matching pursuit method based on complex seismic traces and its application of hydrocarbon exploration[J].Chinese J.Geophys.(in Chinese),55(6):2027-2034.
Xu B X,Bai X B,Yu C Q,2001.Seismic information technologyextraction,analysis and Prediction(in Chinese)[M].Beijing:Earthquake Press.
Xu S.Zhao Y L,Zhang J Q.2008.Research of signal sparse decomposition based on simulated annealing[J].Communications Technology(in Chinese),41(11):188-190.
Yang F S.2006.The principle and application of independent component analysis(in Chinese)[M].Beijing:Tsinghua University Press.
Zhang F C,Li C H.2012.Orthogonal time-frequency atom based fast matching pursuit for seismic Signal[J].Chinese J.Geophys.(in Chinese),55(1):277-283.
Zhang J,Fang H,Wang J Y,et al.2008.Improved GA-based MP algorithm for signal aparse decomposition[J].Computer Engineering and Applications(in Chinese),44(29):79-81.
Zhang X W,Han L G,Wang Y,et al.2010.Seismic spectral decomposition fast matching pursuit algorithm and its application[J],Geophysical Prospecting for Petroleum(in Chinese),49(1):1-6.
Zhao T Z,Song W,Wang S X.2008.Time-frequency filtering denoise method based on matching pursuit algorithm[J].Geophysical Prospecting for Petroleum(in Chinese),47(4):367-371.
陈发宇,杨长春.2007.基于MP方法的地震信号快速分解算法[J].地球物理学进展,22(6):1692-1697.
陈玉东.2006.地球物理信息处理基础[M].北京:地质出版社.
邓小英,刘涛,罗勇.2011.Ricker子波核最小二乘支持向量回归滤波方法的稳健性研究[J].地球物理学报,54(3):845-853.
付燕.2002.人工地震信号去噪方法研究[D].西安:西北工业大学.
李学良,孙晨,袁义明,等.2013.利用最小二乘自适应滤波实现绕射波分离[J].地球物理学进展,(2):777-784,doi:10.6038/pg20130226.
石颖,王建民,井洪亮,等.2013.多道自适应匹配滤波方法压制表面多次波[J].地球物理学进展,(2):785-792,doi:10.6038/pg20130227.
舒伟杰,袁志刚,尹忠科.2009.利用人工鱼群算法实现MP的信号稀疏分解[J].计算机应用研究,26(1):66-67.
王成梅,杨胜利.2010.基于改进的Richer子波的地震信号MP稀疏分解[J].电脑知识与技术,6(4):976-97 8.
王建英,尹忠科,张春梅.2006.信号与图像的稀疏分解及初步应用[M].成都:西南交通大学出版社.
武国宁,曹思远,孙娜.2012.基于复数道地震记录的匹配追踪算法及其在储层预测中的应用[J].地球物理学报,55(6):2027-2034.
徐伯勋,白须滨,于常青.2001.地震勘探信息技术-提取、分析、预测[M].北京:地震出版社.
徐帅,赵云龙,张江泉.2008.基于模拟退火的信号稀疏分解研究[J].通信技术,41(11):188-190.
杨福生.2006.独立分量分析的原理与应用[M].北京:清华大学出版社.
张繁昌,李传辉.2012.基于正交时频原子的地震信号快速匹配追踪[J].地球物理学报,55(1):277-283.
张静,方辉,王建英,等.2008.基于GA和MP的信号稀疏分解算法的改进[J].计算机工程与应用,44(29):79-81.
张显文,韩立国,王宇,等.2010.地震信号谱分解匹配追踪快速算法及其应用[J].石油物探,49(1):1-6.
赵天资,宋炜,王尚旭.2008.基于匹配追踪算法的时频滤波去噪方法[J].石油物探,47(4):367-371.
Charles D,Stephane M C,Ecole P.2005.Sparse spike deconvolution with minimum scale[C].Proceeding of Signal Processing with Adaptive Sparse Structure Representations,123-126.
Chen F Y,Yang C C.2007.Seismic signal's decomposition based on matching pursuit method[J].Progress in Geophysics(in Chinese),22(6):1692-1697.
Chen Y D.2006.Geophysical information processing foundation(in Chinese)[M].Beijing:Geological Press.
Deng X Y,Liu T,Luo Y.2011.Robustness of least squares support vector regression filtering method with Ricker wavelet kernel[J].Chinese J.Geophys.(in Chinese),54(3):845-853.
Fu Y.2002.Research on de-noising methods of seismic data(in Chinese)[D].Xi'an:The Doctoral Dissertation of Northwest Industry University.
Ismael V R,Mauricio S,Yu J G.2012.Simultaneous recovery of origin time,hypocentre location and seismic moment tensor using sparse representation theory[J].Geophysical Journal International,188(3):1188-1202.
Li X L,Sun C,Yuan Y M,et al.2013.Diffracted wave separation by applying self-adaptive least square filtering method[J].Progress in Geophysics(in Chinese),(2):777-784,doi:10.6038/pg20130226.
Liu J L,Wu Y F,Li X G.2004.Time-Frequency decomposition based on Ricker wavelet[C].Expanded Abstracts of 74th SEG Annual International Meeting,1937-1940.
Mallat S G,Zhang Z F.1993.Matching pursuits with time frequency dictionaries[J].IEEE Transactions on Signal Processing,41(12):3397-3415.
Ron M,Gunnar R.2003.An introduction to boosting and leveraging[C].//Mendelson S,Smola A.Advanced Lectures in Machine Learning.New York:Springer Verlag,119-184.
Sheng C,Wang X X,Harris C J.2005.Experiments with repeating weighted boosting search for optimization in signal processing applications[J].IEEE Transactions on Systems Man Cybernetics B,Cybernetics,35(4):682-693.
Shi Y,Wang J M,Jing H L,et al.2013.Suppressing surfacerelated multiple by multi-trace adaptive matching filter approach[J].Progress in Geophysics(in Chinese),(2):785-792,doi:10.6038/pg20130227.
Shu W J,Yuan Z G,Yin Z K.2009.Signal MP-based sparse decomposition with artificial fish-swarm algorithm[J].Application Research of Computers(in Chinese),26(1):66-67.
Wang C M,Yang S L.2010.Seismic signal's MP decomposition based on Ricker wavelet[J].Computer Knowledge and Technology(in Chinese),6(4):976-978.
Wang J Y,Yin Z K,Zhang C M.2006.Signal and image sparse decomposition and preliminary Application(in Chinese)[M].Chengdou:Southwest Jiaotong University Press.
Wang Y H.2007.Seismic time frequency spectral decomposition by matching pursuit[J].Geophysics,72(1):13-20.
Wu G N,Cao S Y,Sun N.2012.Matching pursuit method based on complex seismic traces and its application of hydrocarbon exploration[J].Chinese J.Geophys.(in Chinese),55(6):2027-2034.
Xu B X,Bai X B,Yu C Q,2001.Seismic information technologyextraction,analysis and Prediction(in Chinese)[M].Beijing:Earthquake Press.
Xu S.Zhao Y L,Zhang J Q.2008.Research of signal sparse decomposition based on simulated annealing[J].Communications Technology(in Chinese),41(11):188-190.
Yang F S.2006.The principle and application of independent component analysis(in Chinese)[M].Beijing:Tsinghua University Press.
Zhang F C,Li C H.2012.Orthogonal time-frequency atom based fast matching pursuit for seismic Signal[J].Chinese J.Geophys.(in Chinese),55(1):277-283.
Zhang J,Fang H,Wang J Y,et al.2008.Improved GA-based MP algorithm for signal aparse decomposition[J].Computer Engineering and Applications(in Chinese),44(29):79-81.
Zhang X W,Han L G,Wang Y,et al.2010.Seismic spectral decomposition fast matching pursuit algorithm and its application[J],Geophysical Prospecting for Petroleum(in Chinese),49(1):1-6.
Zhao T Z,Song W,Wang S X.2008.Time-frequency filtering denoise method based on matching pursuit algorithm[J].Geophysical Prospecting for Petroleum(in Chinese),47(4):367-371.
陈发宇,杨长春.2007.基于MP方法的地震信号快速分解算法[J].地球物理学进展,22(6):1692-1697.
陈玉东.2006.地球物理信息处理基础[M].北京:地质出版社.
邓小英,刘涛,罗勇.2011.Ricker子波核最小二乘支持向量回归滤波方法的稳健性研究[J].地球物理学报,54(3):845-853.
付燕.2002.人工地震信号去噪方法研究[D].西安:西北工业大学.
李学良,孙晨,袁义明,等.2013.利用最小二乘自适应滤波实现绕射波分离[J].地球物理学进展,(2):777-784,doi:10.6038/pg20130226.
石颖,王建民,井洪亮,等.2013.多道自适应匹配滤波方法压制表面多次波[J].地球物理学进展,(2):785-792,doi:10.6038/pg20130227.
舒伟杰,袁志刚,尹忠科.2009.利用人工鱼群算法实现MP的信号稀疏分解[J].计算机应用研究,26(1):66-67.
王成梅,杨胜利.2010.基于改进的Richer子波的地震信号MP稀疏分解[J].电脑知识与技术,6(4):976-97 8.
王建英,尹忠科,张春梅.2006.信号与图像的稀疏分解及初步应用[M].成都:西南交通大学出版社.
武国宁,曹思远,孙娜.2012.基于复数道地震记录的匹配追踪算法及其在储层预测中的应用[J].地球物理学报,55(6):2027-2034.
徐伯勋,白须滨,于常青.2001.地震勘探信息技术-提取、分析、预测[M].北京:地震出版社.
徐帅,赵云龙,张江泉.2008.基于模拟退火的信号稀疏分解研究[J].通信技术,41(11):188-190.
杨福生.2006.独立分量分析的原理与应用[M].北京:清华大学出版社.
张繁昌,李传辉.2012.基于正交时频原子的地震信号快速匹配追踪[J].地球物理学报,55(1):277-283.
张静,方辉,王建英,等.2008.基于GA和MP的信号稀疏分解算法的改进[J].计算机工程与应用,44(29):79-81.
张显文,韩立国,王宇,等.2010.地震信号谱分解匹配追踪快速算法及其应用[J].石油物探,49(1):1-6.
赵天资,宋炜,王尚旭.2008.基于匹配追踪算法的时频滤波去噪方法[J].石油物探,47(4):367-371.