世界地质    2018 37 (2): 627-635   ISSN: 1004-5589  CN: 22-1111/P  

基于改进K-SVD字典学习方法的地震数据去噪
程时俊1, 韩立国1, 于江龙2, 张凤蛟1
1. 吉林大学 地球探测科学与技术学院, 长春 130026;
2. 中国石油新疆油田分公司 勘探开发研究院, 新疆 克拉玛依 834000
收稿日期 2017-11-13  修回日期 2018-03-06  网络版发布日期 null
参考文献  [1] 王典,刘财,刘洋,等.反射法地震勘探噪声消除技术研究[J].地球物理学进展,2006, 21(3):957-970. WANG Dian,LIU Cai,LIU Yang,et al. Study of the noise elimination methods in the reflection seismic exploration[J]. Progress in Geophysics, 2006,21(3):957-970.
[2] Canales L L. Random noise reduction[J]. SEG Technical Program Expanded Abstracts, 1949,3(1):329-329.
[3] 薛亚茹,陆文凯,陈小宏,等.基于正交多项式变换的CMP动校正道集随机噪声压制[J]. 地球物理学进展,2009,24(1):159-163. XUE Ya-ru,LU Wen-kai,CHEN Xiao-hong,et al.Random noise attenuation based on orthogonal polynomials transform for CMP gathers[J]. Progress in Geophysics, 2009,24(1):159-163.
[4] 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. YANG Li-qiang,SONG Hai-bin,HAO Tian-yao,et al. Method of 2-D wavelet transform in attenuating random noise[J].Geophysical Prospecting for Petroleum,2005,44(1):4-6.
[5] 刘俊成, 赵强. 改进阈值法在二代小波变换去噪中的应用[J].世界地质,2017, 36(2):570-578. LIU Jun-cheng,ZHAO Qiang. Application of improved threshold method on second-generation wavelet transform denoising[J]. Global Geology,2017, 36(2):570-578.
[6] 王培茂,杨冬红,高茹,等.基于匹配小波包算法的地震信号去噪[J].世界地质, 2011,30(2):277-281. WANG Pei-mao,YANG Dong-hong,GAO Ru,et al. Seismic signal denoising by matching wavelet packet algorithm[J]. Global Geology,2011, 30(2):277-281.
[7] 张军华,吕宁,田连玉,等.地震资料去噪方法综合评述[J].石油地球物理勘探,2005,40(增1):121-127,138. ZHANG Jun-hua,LYU Ning,TIAN Lian-yu, et al. An overview of the methods for seismic data noise attenuation[J].Oil Geophysical Prospecting,2005,40(Suppl.1):121-127,138.
[8] 胡天跃,王润秋,White R E.地震资料处理中的聚束滤波方法[J]. 地球物理学报, 2000,43(1):105-115. HU Tian-yue,WANG Run-qiu,White R E.Beamforming in seismic data processing[J].Chinese Journal of Geophysics,2000,43(1):105-115.
[9] Elad M,Aharon M. Image denoising via sparse and redundant representations over learned dictionaries[J]. IEEE Transactions on Image Processing,2006,15(12):3736-3745.
[10] TANG G,MA J W,YANG H Z.Seismic data denoising based on learning-type overcomplete dictionaries[J]. Applied Geophysics,2012(1):31-36,118-119.
[11] Beck A,Teboulle M. A fast iterative shrinkage-thresholding algorithm for linear inverse problems[J]. Siam Journal on Imaging Sciences,2009,2(1):183-202.
[12] Aharon M,Elad M,Bruckstein A M et al.K-SVD:an algorithm for designing overcomplete dictionaries for sparse representation[J]. IEEE Transactions on Signal Processing,2006,54(11):4311-4322.
[13] 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[J]. 石油地球物理勘探,2014,49(4):652-660. ZHOU Ya-tong,WANG Li-li,PU Qing-shan.Seismic data reconstruction based on K-SVD dictionary under compressive sensing framework[J].Oil Geophysical Prospecting,2014,49(4):652-660.
[14] 魏东,周健鹏. K-SVD和OMP算法在超声信号去噪中的应用[J]. 应用声学,2016,35(2):95-101. WEI Dong,ZHOU Jian-peng. Application of K-SVD and OMP algorithm on ultrasonic signal denoising[J]. Applied Acoustics,2016,35(2):95-101.
[15] 卢昕婷. 多震源混采数据正则化偏移成像方法研究:博士学位论文[D].长春:吉林大学,2016. LU Xin-ting.Research on regularized imaging methods of multisource blended data:doctor's degree thesis[D]. Changchun:Jilin University,2016.

通讯作者: 韩立国(1961-),男,教授,主要从事地震波场正反演与成像,地震属性与地球物理信号分析等方面的研究.E-mail:hanliguo@jlu.edu.cn