Seismic random noise suppression based on scale-adaptive 3D-Shearlet transform
CHENG Hao1, WANG Deli2, WANG Ende1, FU Jianfei1, HOU Zhenlong1
1. Key Laboratory of Safe Mining of Deep Metal Mines, Ministry of Education, Northeastern University, Shenyang, Liaoning 110819, China; 2. College of Geo-Exploration Sciences and Technology, Jilin University, Changchun, Jilin 130026, China
Abstract:We use a scale-adaptive 3D-Shearlet transform to suppress random noise of multi-source seismic data.First multi-source seismic data is transformed into the 3D-Shearlet domain.In this domain,seismic data can be represented more sparsely.Since seismic signals distribute in a low scale and random noise distributes in the all scales,scale-adaptive factors suppress random noise based on hard thresholds.With the inverse 3D-Shearlet transform,the de-noising seismic data can be obtained.According to numerical and seismic data tests,the proposed approach can better suppress random noise than the 2D-Shearelet transform and the 3D-Shearlet transform;however it needs a larger computer memory,and may damage weak signals.
解吉高,刘春成,刘志斌,等.下刚果盆地北部中新统深水浊积岩储层及含油性地震预测[J].石油学报,2015,36(1):33-40.XIE Jigao,LIU Chuncheng,LIU Zhibin,et al.Seismic prediction of the reservoir and oil-bearing property of Miocene deep-water turbidite in northern Lower Congo Basin[J].Acta Petrolei Sinica,2015,36(1):33-40.
[2]
陈志德,王成,刘国友,等.近地表Q值模型建立方法及其地震叠前补偿应用[J].石油学报,2015,36(2):188-196.CHEN Zhide,WANG Cheng,LIU Guoyou,et al.Modeling method of near-surface Q value and its seismic pre-stack compensation application[J].Acta Petrolei Sinica,2015,36(2):188-196.
[3]
崔永福,彭更新,吴国忱,等.孔洞型碳酸盐岩储层地震正演及叠前深度偏移[J].石油学报,2015,36(7):827-836.CUI Yongfu,PENG Gengxin,WU Guochen,et al.Seismic forward modeling and pre-stack depth migration of porous-type carbonate reservoirs[J].Acta Petrolei Sinica,2015,36(7):827-836.
[4]
薛亚茹,王敏,陈小宏.基于SL0的高分辨Radon变换及数据重建[J].石油地球物理勘探,2018,53(1):1-7.XUE Yaru,WANG Min,CHEN Xiaohong.Seismic data reconstruction based on high order high resolution Radon transform[J].Oil Geophysical Prospecting,2018,53(1):1-7.
[5]
徐彦凯,曹思远,何元.双曲Radon-ASVD方法压制叠前地震数据随机噪声[J].石油地球物理勘探,2017,52(3):451-457.XU Yankai,CAO Siyuan,HE Yuan.Hyperbolic Radon-ASVD method for suppressing seismic random noise[J].Oil Geophysical Prospecting,2017,52(3):451-457.
[6]
陈泓竹,王彦春.频率域拉东变换加权约束反演压制层间多次波[J].石油地球物理勘探,2018,53(4):666-673.CHEN Hongzhu,WANG Yanchun.Weighted constraint inversion to suppress the internal multiples in the frequency domain by Radon transform[J].Oil Geo-physical Prospecting,2018,53(4):666-673.
包乾宗,高静怀,陈文超.面波压制的Ridgelet域方法[J].地球物理学报,2007,50(4):1210-1215.BAO Qianzong,GAO Jinghuai,CHEN Wenchao.Ridgelet domain method of ground-roll suppression[J].Chinese Journal of Geophysics,2007,50(4):1210-1215.
[9]
Wang D L,Tong Z F,Tang C,et al.An iterative curvelet thresholding algorithm for seismic random noise attenuation[J].Applied Geophysics,2010,7(4):315-324.
[10]
Mortezanejad R,Gholami A.Optimization of wavelet and curvelet-based denoising algorithms by multivariate SURE and GCV[J].Journal of Geophysics and Engineering,2016,13(3):378-390.
[11]
孟大江,王德利,冯飞,等.基于Curvelet变换的稀疏反褶积[J].石油学报,2013,34(1):107-114.MENG Dajiang,WANG Deli,FENG Fei,et al.Sparse deconvolution based on the Curvelet transform[J].Acta Petrolei Sinica,2013,34(1):107-114.
[12]
赵娴.基于Contourlet变换二维TFPF压制地震勘探随机噪声[D].吉林长春:吉林大学,2016.ZHAO Xian.2-D TFPF Based on Contourlet Transform for Seismic Random Noise Attenuation[D].Jilin University,Chang Chun,Jilin,2016.
[13]
唐飞.基于Contourlet变换和Shearlet变换的图像去噪算法研究[D].湖南湘潭:湘潭大学,2014.TANG Fei.Research on Image Denoising Methods based on Contourlet Transform and Shearlet Transform[D].Xiangtan University,Xiangtan,Hunan,2014.
[14]
Guo K,Labate D.Optimally sparse multidimensional representation using shearlets[J].SIAM Journal on Mathematical Analysis,2007,39(1):298-318.
[15]
Guo K,Labate D,Lim W Q,et al.Wavelets with composite dilations[J].Electronic Research Announcements of the American Mathematical Society,2004,10(10):78-87.
[16]
Guo K,Labate D,Lim W Q,et al.Wavelets with composite dilations and their MRA properties[J].Applied and Computational Harmonic Analysis,2006,20(2):202-236.
[17]
张良,韩立国,许德鑫,等.基于压缩感知技术的Shearlet变换重建地震数据[J].石油地球物理勘探,2017,52(2):220-225.ZHANG Liang,HAN Liguo,XU Dexin,et al.Seismic data reconstruction with Shearlet transform based on compressed sensing technology[J].Oil Geophysical Prospecting,2017,52(2):220-225.
[18]
刘成明,王德利,王通,等.基于Shearlet变换的地震随机噪声压制[J].石油学报,2014,35(4):692-699.LIU Chengming,WANG Deli,WANG Tong,et al.Random seismic noise attenuation based on the Shearlet transform[J].Acta Petrolei Sinica,2014,35(4):692-699.
[19]
程浩,陈刚,王恩德,等.基于Shearlet变换的自适应阈值地震数据去噪方法[J].石油学报,2018,39(1):82-91.CHENG Hao,CHEN Gang,WANG Ende,et al.Seismic data de-noising method of adaptive threshold based on Shearlet transform[J].Acta Petrolei Sinica,2018,39(1):82-91.
[20]
Guo K,Labate D.Analysis and detection of surface discontinuities using the 3D continuous shearlet transform[J].Applied and Computational Harmonic Ana-lysis,2011,30(2):231-242.
[21]
孟阁阁,王德利,陈鑫.基于三维曲波变换的地震数据去噪方法研究[J].石油物探,2014,53(3):313-323.MENG Gege,WANG Deli,CHEN Xin.Study on seismic data denoising method based on 3D Curvelet transform[J].Geophysical Prospecting for Petroleum,2014,53(3):313-323.
[22]
张之涵,孙成禹,姚永强,等.三维曲波变换在地震资料去噪处理中的应用研究[J].石油物探,2014,53(4):421-430.ZHANG Zhihan,SUN Chengyu,YAO Yongqiang,et al.Research on the application of 3D curvelet transform to seismic data denoising[J].Geophysical Prospecting for Petroleum,2014,53(4):421-430.
[23]
胡雨,谢凯,阮宁君,等.基于三维曲波变换的弱信号恢复方法研究[J].计算机工程与应用,2016,52(18):199-202.HU Yu,XIE Kai,RUAN Ningjun,et al.Method of weak signal recovery based on 3D curvelet transform[J].Computer Engineering and Applications,2016,52(18):199-202.
[24]
段昶,汪学刚,王洪,等.基于三维带限剪切波变换的磁共振图像融合[J].生物医学工程学杂志,2015,32(1):181-186.DUAN Chang,WANG Xuegang,WANG Hong,et al.Magnetic resonance image fusion based on three dimensional band limited Shearlet transform[J].Journal of Biomedical Engineering,2015,32(1):181-186.
[25]
Negi P S,Labate D.3D discrete Shearlet transform and video processing[J].IEEE Transactions on Image Processing,2012,21(6):2944-2954.