Abstract：This paper proposes a microseismic weak signal extraction method based on the independent component analysis and compressive sensing (CS).First,based on the underdetermined blind source separation and sparse signal reconstruction,we get a mixed matrix in the underdetermined blind source separation model by analyzing source signal characteristics.Then we establish the corresponding underdetermined blind signal reconstruction model based on the compressive sensing theory and the mixed matrix.The source signal is reconstructed using orthogonal matching pursuit (OMP) and compressive sampling matching pursuit (CoSaMP).Finally, on the basis of discussing core problems such as the mixed matrix,the orthogonalization,the sparsification,and the sparsification degree,we accomplish the microseismic weak signal reconstruction method based on the independent component analysis and compressive sensing theory.Tests on real data prove that the proposed method is effective and accurate.
宋维琪, 李艳清, 刘磊. 独立分量分析与压缩感知微地震弱信号提取方法[J]. 石油地球物理勘探, 2017, 52(5): 984-989,1041.
Song Weiqi, Li Yanqing, Liu Lei. Microseismic weak signal extraction based on the independent component analysis and compressive sensing. OGP, 2017, 52(5): 984-989,1041.
孟小红,吴何珍,刘国峰.盲源反褶积方法与应用研究.石油地球物理勘探,2005,40(6):642-645.Meng Xiaohong,Wu Hezhen,Liu Guofeng.Study of blind deconvolution and application of method.OGP,2005,40(6):642-645.
[2]
宋维琪,杨勤勇,郭全仕等.地面微地震资料弱信号提取方法研究.石油物探,2013,52(2):131-135.Song Weiqi,Yang Qinyong,Guo Quanshi et al.Weak signal extraction method for surface microseismic monitoring data.GPP,2013,52(2):131-135.
[3]
戴琼海,付长军,季向阳.压缩感知研究.计算机学报,2011,34(3):425-434.Dai Qionghai,Fu Changjun,Ji Xiangyang.Research on compressed sensing.Chinese Journal of Computers,2011,34(3):425-434.
[4]
Candès E,Wakin M.An introduction to compressive sampling.IEEE on Signal Processing Magazine,2008,25(2):21-30.
[5]
Donoho D,Tsaig Y.Extensions of compressed sen-sing.Signal Processing,2006,86(3):533-548.
刘喜武,高伟,张宁等.基于带状混合矩阵ICA实现地震盲反褶积.地球物理学进展,2007,22(4):1153-1163.Liu Xiwu,Gao Wei,Zhang Ning et al.ICA with banded mixing matrix based seismic blind deconvolution.Progress in Geophysics,2007,22(4):1153-1163.
[8]
高伟.基于独立变量分析的盲反褶积研究[学位论文].山东青岛:中国海洋大学,2011.Gao Wei.Blind Deconvolution Based on Independent Component Analysis[D].Ocean University of China,Qingdao,Shandong,2011.
[9]
王维强.独立分量分析在地震勘探中的应用研究[学位论文].山东青岛:中国石油大学(华东),2012.Wang Weiqiang.Application of Independent Component Analysis in Seismic Exploration[D].China University of Petroleum (East China),Qingdao,Shandong,2012.
[10]
Wadayama T.Sufficient condition for perfect recovery in compressed sensing.The Brain & Neural Networks,2010,17(2):63-69.
[11]
Pennec E L,Mallat S.Sparse geometrical image representation with bandelets.IEEE Transactions on Image Processing,2005,14(4):423-438.
[12]
周灿梅.基于压缩感知的信号重建算法研究[学位论文].北京:北京交通大学,2010.Zhou Canmei.Research on Signal Reconstruction Algorithms Based on Compressed Sensing[D].Beijing Jiaotong University,Beijing,2010.
[13]
Baraniuk R G,Cevher V,Duarte M F et al.Model based compressive sensing.IEEE Transactions on Information Theory,2010,56(4):1982-2001.
[14]
Gholami A.Non-convex compressed sensing with frequency mask for seismic data reconstruction and denoising.Geophysical Prospecting,2015,62(6):1389-1405.
[15]
周亚同,王丽莉,蒲青山.压缩感知框架下基于K-奇异值分解字典学习的地震数据重建.石油地球物理勘探,2014,49(4):652-660.Zhou Yatong,Wang Lili,Pu Qingshan.Seismic data reconstruction based on K-SVD dictionary learning under compressive sensing framework.OGP,2014,49(4):652-660.
[16]
郭树旭,张驰,曹军胜等.基于压缩感知归一化关联成像实现目标重构.光学精密工程,2015,23(1):288-294.Guo Shuxu,Zhang Chi,Cao Junsheng et al.Object reconstruction by compressive sensing based normalized ghost imaging.Optics and Precision Engineering,2015,23(1):288-294.
[17]
方红,杨海蓉.贪婪算法与压缩感知理论.自动化学报,2011,37(12):1413-1421.Fang Hong,Yang Hairong.Greedy algorithms and compressed sensing.Acta Automatica Sinica,2011,37(12):1413-1421.
[18]
Yin H,Li J,Chai Y et al.A survey on distributed compressed sensing:theory and applications.Frontiers of Computer Science,2014,8(6):893-904.
[19]
郭科,郭思,何国柱等.基于独立分量分析的多次波盲分离方法研究.地球物理学进展,2010,25(3):1075-1080.Guo Ke,Guo Si,He Guozhu et al.A method of multiple blind separation based on ICA.Progress in Geophysics,2010,25(3):1075-1080.
[20]
谢忠德.基于稀疏表示的盲信号分离算法研究[学位论文].广东广州:广东工业大学,2012.Xie Zhongde.Study on Blind Signal Separation Algorithm Based on Sparse Representation[D].Guang-dong University of Technology,Guangzhou,Guangdong,2012.
[21]
Donoho D L.Compressed sensing.IEEE Transactions on Information Theory,2006,52(4):1289-1306.
[22]
Candes E J,Romberg J,Tao T.Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information.IEEE Transactions on Information Theory,2006,52(2):489-509.
[23]
王新全,耿瑜,Ru-shan Wu等.基于压缩感知的Drea-mlet域数据重构方法及应用.石油地球物理勘探,2015,50(3):399-404.Wang Xinquan,Geng Yu,Ru-shan Wu et al.Seismic data reconstruction in Dreamlet domain based on compressive sensing.OGP,2015,(3):399-404.
[24]
白兰淑,刘伊克,卢回忆等.基于压缩感知的Curvelet域联合迭代地震数据重建.地球物理学报,2014,57(9):2937-2945.Bai Lanshu,Liu Yike Lu Huiyi et al.Curvelet-domain joint iterative seismic data reconstruction based on compressed sensing.Chinese Journal of Geophysics,2014,57(9):2937-2945.
[25]
吕文彪,尹成,张白林等.利用独立分量分析法去除地震噪声.石油地球物理勘探,2007,42(2):132-136.Lv Wenbiao,Yin Cheng,Zhang Bailin et al.Using in-dependent component analysis to noise.OGP,2007,42(2):132-136.
[26]
李稳,刘伊克,刘保全等.基于稀疏分布特征的井下微地震信号识别与提取方法.地球物理学报,2016,59(10):3869-3882.Li Wen,Liu Yike,Liu Baoquan et al.Downhole microseismic signal recognition and extraction based on sparse distribution features.Chinese Journal of Geophysics,2016,59(10):3869-3882.
[27]
Bruckstein A,Donoho D,Elad M.From sparse solutions of systems of equations to sparse modeling of signals and images.SIAM Review,2009,51(1):34-81.
