基于背景噪声和特征值下降比的微地震SVD去噪改进方法Optimal method of SVD for micro-seismic data based on background noise and eigenvalue ratio of reduction
王程;王维红;
摘要(Abstract):
为有效应用SVD方法压制微地震低信噪比资料中的随机噪声,从微地震压裂后背景监测数据中获取背景噪声特征值和特征值下降比,判断各奇异值分量对数据的贡献,提出一种优选特征值并确定合适降噪阶次的方法。模型数据和实际微地震数据应用结果表明:该方法能够压制与背景噪声一致的随机噪声,压制效果明显,同时对有效信号子波损害较少,有效信号频带未发生迁移且能量得到增强,噪声频率成分的能量得到压制,与实际微地震资料吻合较好,可以为微地震数据后期处理提供依据。
关键词(KeyWords): 微地震;奇异值分解;特征值下降比;背景噪声;降噪阶次
基金项目(Foundation): 国家自然科学基金项目(41974116);国家自然科学基金项目(41930431)
作者(Author): 王程;王维红;
Email:
DOI:
参考文献(References):
- [1] 王维波,周瑶琪,春兰,等.地面微地震监测SET震源定位特性研究[J].中国石油大学学报(自然科学版),2012,36(5):45-50.WANG Weibo,ZHOU Yaoqi,CHUN Lan,et al.Characteristics of source localization by seismic emission tomgraphy for surface based on microseism [J].Journal of China University of Petroleum(Edition of Natural Science),2012,36(5):45-50.
- [2] 王维红,宋元东,林春华,等.三维地震资料叠前随机噪音压制[J].东北石油大学学报,2015,39(3):25-31.WANG Weihong,SONG Yuandong,LIN Chunhua,et al.Pre stack random noise suppression of 3D seismic data [J].Journal of Northeast Petroleum University,2015,39(3):25-31.
- [3] KREIMER N,SACCHI M D.A tensor higher-order singular value decomposition for prestack seismic data noise reduction and interpolation [J].Geophysics,2012,77(3):113.
- [4] 张安,陈明义,马增强.基于单边波动谱的奇异值分解降噪有效阶次确定方法[J].石家庄铁道大学学报(自然科学版),2019,32(4):73-80.ZHANG An,CHEN Mingyi,MA Zengqiang.A method for determining the effective order of noise reduction based on singular value decomposition of one-sided wave spectrum [J].Journal of Shijiazhuang Railway University(Natural Science Edition),2019,32(4):73-80.
- [5] 王益艳.基于特征均值的SVD信号去噪算法[J].计算机应用与软件,2012,29(5):121-123.WANG Yiyan.Denoising algorithm of SVD signal based on characteristic mean [J].Computer Application and Software,2012,29(5):121-123.
- [6] 赵学智,聂振国,叶邦彦,等.信号有效奇异值的数量规律及其在特征提取中的应用[J].振动工程学报,2016,29(3):532-541.ZHAO Xuezhi,NIE Zhenguo,YE Bangyan,et al.Quantitative rule of effective singular value of signal and its application in feature extraction [J].Journal of Vibration Engineering,2016,29(3):532-541.
- [7] 王树青,林裕裕,孟元栋,等.一种基于奇异值分解技术的模型定阶方法[J].振动与冲击,2012,31(15):87-91.WANG Shuqing,LIN Yuyu,MENG Yuandong,et al.A model order determination method based on singular value decomposition [J].Vibration and Shock,2012,31(15):87-91.
- [8] 钱征文,程礼,李应红.利用奇异值分解的信号降噪方法[J].振动、测试与诊断,2011,31(4):459-463.QIAN Zhengwen,CHENG Li,LI Yinghong.Signal denoising method using singular value decomposition [J].Vibration,Test and Diagnosis,2011,31(4):459-463.
- [9] 王建国,李健,刘颖源,等.一种确定奇异值分解降噪有效秩阶次的改进方法[J].振动与冲击,2014,33(12):176-180.WANG Jianguo,LI Jian,LIU Yingyuan,et al.An improved method for determining effective order rank of SVD denoising [J].Journal of Vibration and Shock,2014,33(12):176-180.
- [10] PORSANI M J,URSIN B,SILVA M G,et al.Dip-adaptive singular-value decomposition filtering for seismic reflection enhancement [J].Geophysical Prospecting,2013,61(1):42-52.
- [11] COBURN L A.Weyl's theorem for nonnormal operators [J].The Michigan Mathematical Journal,1966,13(3):285-288.
- [12] 刘昶,孙劲光,张永库,等.基于奇异值分解的鲁棒零水印算法[J].辽宁工程技术大学学报(自然科学版),2019,38(4):372-376.LIU Yan,SUN Jinguang,ZHANG Yongku,et al.Robust zero watermarking algorithm based on singular value decomposition [J].Journal of Liaoning Technical University(Natural Science),2019,38(4):372-376.
- [13] 陈俐宏,苏维钢.广义Kato分解与Weyl型定理[J].数学物理学报,2019,39(3):417-422.CHEN Lihong,SU Weigang.Generalized Kato decomposition and Weyl type theorem [J].Acta Mathematica Scientia,2019,39(3):417-422.
- [14] LIANG X,LI Y,ZHANG C.Noise suppression for microseismic data by non-subsampled shearlet transform based on singular value decomposition [J].Geophysical Prospecting,2018,66(5):894-903.
- [15] LYU H.Noise suppression of microseismic data based on a fast singular value decomposition algorithm [J].Journal of Applied Geophysics,2019,170:103831.
- [16] 胡永泉,黄建波,田志华,等.基于单道SVD和振幅比的地面微地震资料去噪方法[J].石油物探,2019,58(1):43-52.HU Yongquan,HUANG Jianbo,TIAN Zhihua,et al.Ground microseismic data denoising based on single-channel singular value decomposition and amplitude ratio [J].Geophysical Prospecting for Petroleum,2019,58(1):43-52.
- [17] 刘洪林,张春堂,朱秋影,等.K-L变换在地震资料去噪声的应用[J].东北石油大学学报,2007,31(4):19-21.LIU Honglin,ZHANG Chuntang,ZHU Qiuying,et al.K-L Transform the application of noise in seismic data [J].Journal of Northeast Petroleum University,2007,31(4):19-21.
- [18] 刘玉海,潘树林,胡永泉,等.基于维纳方程相关函数迭加法的地面微地震信号检测[J].东北石油大学学报,2012,36(6):34-37.LIU Yuhai,PAN Shulin,HU Yongquan,et al.Surface microseismic signal detection based on superposition of relevant functions of weiner equation [J].Journal of Northeast Petroleum University,2012,36(6):34-37.
- [19] 刁瑞,吴国忱,尚新民,等.地面阵列式微地震数据盲源分离去噪方法[J].物探与化探,2017,41(3):521-526.DIAO Rui,WU Guochen,SHANG Xinmin,et al.Noise reduction method for ground array microseismic data based on blind source separation [J].Geophysical and Geochemical Exploration,2017,41(3):521-526.
- [20] 张晟瑞,任朝发,李星缘,等.地面微地震资料噪声压制方法[J].地球物理学进展,2018,33(6):2522-2527.ZHANG Shengrui,REN Chaofa,LI Xingyuan,et al.Noise suppression methods for ground micro-seismic data [J].Progress in Geophysics,2018,33(6):2522-2527.