基于EMD的瑞雷波信号提纯新方法
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摘要
为了能够从地震勘探记录中提纯出瑞雷波信号,基于信号经验模态分解的自适应特征,将经验模态分解应用到瑞雷波信号提纯研究中。介绍了瑞雷波勘探实测信号的经验模态分解计算过程,通过仿真实验及工程实例,说明经验模态分解能够有效应用于瑞雷波的提纯,分析比较了经验模态分解提纯方法和其他方法的优缺点,认为经验模态分解方法具有可靠性和稳定性。提出下一步的研究方向是在经验模态分解后直接利用Hilbert变换求得信号的瞬时频率,从而求解出频散曲线。
In order to purificate the Rayleigh wave signal from seismic records,it applies the empirical mode decomposition(EMD) to the purification of Rayleigh wave signal based on adaptive characteristic of EMD.It describes EMD calculation of the measured Rayleigh wave exploration signal.It illustrates that the EMD can be effectively applied to the Rayleigh wave purification through the simulation experiments and engineering examples.After analyzed and compared the advantages and disadvantages of EMD purification and other methods,it concludes that the method of EMD is reliable and stable.It proposes that the directions of future research should obtain instantaneous frequency directly by Hilbert transform after the EMD,so as to solve the dispersion curves.
In order to purificate the Rayleigh wave signal from seismic records,it applies the empirical mode decomposition(EMD) to the purification of Rayleigh wave signal based on adaptive characteristic of EMD.It describes EMD calculation of the measured Rayleigh wave exploration signal.It illustrates that the EMD can be effectively applied to the Rayleigh wave purification through the simulation experiments and engineering examples.After analyzed and compared the advantages and disadvantages of EMD purification and other methods,it concludes that the method of EMD is reliable and stable.It proposes that the directions of future research should obtain instantaneous frequency directly by Hilbert transform after the EMD,so as to solve the dispersion curves.
引文
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[2]赵存明,沈斐敏,张燕清,等.瑞利波探测公路施工隧道含水断层破碎带[J].煤田地质与勘探,2008,36(2):72-75.ZHAO Cunming,SHEN Feimin,ZHANG Yanqing,et al.Detecting water-bearing fault belt during highway tunnel construction by Rayleigh wave technique[J].Coal Geology&Exploration,2008,36(2):72-75.(in Chinese)
[3]房曰荣,沈斐敏.瑞雷波探测技术在公路隧道超前地质预报中的应用[J].安全与环境工程,2012,1(2):132-135.FANG Yuerong,SHEN Feimin.Applications of Rayleigh wave in highway tunnel advanced geological prediction[J].Safety and Environmental Engineering,2012,1(2):132-135.(in Chinese)
[4]卢建旗,李山有,谢志南,等.基于瑞雷波法的成都盆地场地剪切波速结构确定[J].地震工程与工程振动,2012,32(2):35-40.LU Jianqi,LI Shanyou,XIE Zhinan,et al.Multi-channel analysis of surface wave method based determination of S-wave velocity structure of Chengdu Basin[J].Journal of Earthquake Engineering and Engineering Dynamics,2012,32(2):35-40.(in Chinese)
[5]卢建旗,李山有,李伟.基于瑞雷波法的都江堰市区场地剪切波速结构[J].地震工程与工程振动,2012,32(6):1-9.LU Jianqi,LI Shanyou,LI Wei.Multi-channel analysis of surface wave method based determination of S-wave velocity structure in Dujiangyan area[J].Earthquake Engineering and Engineering Dynamics,2012,32(6):1-9.(in Chinese)
[6]魏勤,卫婷,宋广三.超声瑞利波测试材料表面载荷应力的实验研究[J].实验力学,2011,26(2):176-180.WEI Qin,WEI Ting,SONG Gangsan.Experimentalstudy on the surface applied stress measurement with Rayleigh wave[J].Journal of Experimental Mechanic,2011,26(2):176-180.(in Chinese)
[7]陈淑珍,刘怀林.基于τ-p变换的频散曲线及其算法实现[J].武汉大学学报:自然科学版,2000,46(1):123-126.CHEN Shuzhen,LIN Huailin.Requestingtransient-state Rayleigh save’s Curve byτ-p transformation and its realization of arithmetic[J].Wuhan Univ:Nat.Sei.Ed.,2000,46(1):123-126.(in Chinese)
[8]宋先海,肖柏勋,张学强,等.用改进的τ-p变换算法提取瞬态瑞雷波频散曲线[J].物探与化探,2003,27(4):292-295.SONG Xianhai,XIAO Boxun,ZHANG Xueqiang,et al.The application of improvedτ-p transform algorithm to the extraction of dispersion curve of transient Rayleigh wave[J].Geophysical&Geochemical Exploration,2003,27(4):292-295.(in Chinese)
[9]肖柏勋,李长征.瑞雷面波勘探技术研究述评[J].工程地球物理学报,2004,1(1):38-47.XIAO Boxun,LI Changzheng.Review of Rayleigh prospecting technology research[J].Chinese Journal of Engineering Geophysics,2004,1(1):38-47.(in Chinese)
[10]张碧星,鲁来玉.用频率-波数法分析瑞雷面波频散曲线[J].工程地球物理学报,2005,2(4):245-248.ZHANG Bixing,LU Laiyu.Investigation onthe dispersion curves of Rayleigh wave by frequency-wavenumber analysis method[J].Chinese Journal of Engineering Geophysics,2005,2(4):245-248.(in Chinese)
[11]Song X H,Li D Y,Gu H M,et al.Insights into performance of pattern search algorithms for high-frequency surface wave analysis[J].Computers Geosciences,2009,35(8):1603-1619.
[12]房曰荣,沈斐敏.小波分析应用于瑞雷波频散曲线提取研究[J].地震工程与工程振动,2014,34(5):22-27.FANG Yuerong,SHEN Feimin.Study onwavelet analysis applied to Rayleigh wave dispersion curve extraction[J].Earthquake Engineering and Engineering Dynamics,2014,34(5):22-27.(in Chinese)
[13]Huang N E,Wu M L,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc.R.Soc.London.Ser.A,1998,454:903-995.
[14]Huang N E,Shen Z,Long S R.A new view of water waves-The Hilbert spectrum[J].Annu.Rev.Fluid Mech.,1999,31,417-457.
[15]张德丰.MATLAB小波分析[M].北京:机械工业出版社,2010:43-46.ZHANG Defeng.MATLAB&wavelet analysis[M].Beijing:Mechanical Industry Press,2010:43-46.(in Chinese)