基于Fourier变换的瑞雷面波分离提取及实例分析
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摘要
应用Fourier变换法分离提取地震记录中不同模态的瑞雷面波,其原理是:利用瑞雷面波各模式传播速度的差异,将时间域中叠加在一起的瑞雷面波信号在频率波数域中分开,以此实现分离提取各阶模态瑞雷面波。研究结果表明:τ-p变换只能提取浅部能量较强的部分瑞雷面波,不能提取瑞雷面波的全部频散成分且不能使不同模态瑞雷面波分离;利用Fourier变换可以准确分离提取不同模态的瑞雷面波,且经分离后计算所得频散曲线的频带宽度扩展,有利于提高瑞雷面波勘探的能力。
Fourier transform was adopted to separate and extract different modes of Rayleigh wave from the seismic data. Based on the fact that the different modes of Rayleigh wave have different propagation velocities, the signals of Rayleigh wave which superposes in time domain can be separated in frequency-wave-number domain, different modes of Rayleigh wave are separated and extracted by Fourier transform. The results show that τ-p transform can only extract part of Rayleigh wave with strong energy in shallow surface, while it can’t completely extract all the dispersion component and separate different modes of Rayleigh wave. Fourier transform can exactly separate and extract different modes of Rayleigh wave. Moreover, the bandwidth of dispersion curve calculated with separate data is extended, which is beneficial for improving the capability of the Rayleigh wave exploration.
Fourier transform was adopted to separate and extract different modes of Rayleigh wave from the seismic data. Based on the fact that the different modes of Rayleigh wave have different propagation velocities, the signals of Rayleigh wave which superposes in time domain can be separated in frequency-wave-number domain, different modes of Rayleigh wave are separated and extracted by Fourier transform. The results show that τ-p transform can only extract part of Rayleigh wave with strong energy in shallow surface, while it can’t completely extract all the dispersion component and separate different modes of Rayleigh wave. Fourier transform can exactly separate and extract different modes of Rayleigh wave. Moreover, the bandwidth of dispersion curve calculated with separate data is extended, which is beneficial for improving the capability of the Rayleigh wave exploration.
引文
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[5]宋先海,肖柏勋,张学强,等.用改进的τp变换算法提取瞬态瑞雷波频散曲线[J].物探与化探,2003,27(4):292295.SONG Xian-hai,XIAO Bo-xun,ZHANG Xue-qiang,et al.The application of improvedτp transform algorithm to the extraction of dispersion curve of transient rayleigh wave[J].Geophysical&Geochemical Exploration,2003,27(4):292295.
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[9]柴华友,卢应发,刘明贵,等.表面波谱分析影响因素研究[J].岩土力学,2004,24(5):347353.CHAI Hua-you,LU Ying-fa,LIU Ming-gui,et al.Influences of measuring factors on spectral analysis in surface wave testing[J].Rock and Soil Mechanics,2004,24(5):347353.
[10]Karray M,Lefebvre G.Techniques for mode separation in Rayleigh wave testing[J].Soil Dynamics and Earthquake Engineering,2008,20(1):113.
[11]鲁来玉.分层介质半空间瑞雷波模式分析和介质参数反演[D].北京:中国科学院研究生院,2004.LU Lai-yu.Mode analysis and inversion of parameters of Rayleigh waves in stratified media[D].Beijing:Graduate University of Chinese Academy of Sciences,2004.
[12]熊章强,张大洲,秦臻,等.瑞雷波数值模拟中的边界条件处理及模拟实例分析[J].中南大学学报:自然科学版,2008,39(4):824830.XIONG Zhang-qiang,ZHANG Da-zhou,QIN Zhen,et al.The boundary conditions study and case analysis for numerical modeling of Rayleigh wave[J].Journal of Central South University:Science and Technology,2008,39(4):824830.
[13]Park C B,Miller R D,Xia J.Imaging dispersion curves of surface waves on multi-channel record[C]//68th Annual International Meeting,SEG,Expanded Abstracts.New Orleans,1998:13771380.
[2]Gucunski N,Woods R D.Numerical simulation of SASW test[J].Soil Dynamics Earthquake Engineering,1992,11(3):213227.
[3]刘江平,侯卫生,许顺芳.相邻道瑞雷波法及在防渗墙强度检测中的应用[J].人民长江,2003,34(2):3437.LIU Jiang-ping,HOU Wei-sheng,XU Shun-fang.Adjacent-channel transient Rayleigh wave method and its application in compression strength test of water-tight wall[J].Yangtze River,2003,34(2):3437.
[4]陈淑珍,刘怀林.基于τp变换的频散曲线及其算法实现[J].武汉大学学报,2000,46(1):123126.CHEN Shu-zhen,LIU Huai-lin.Requesting transient-stateRayleigh wave’s dispersion curve byτp transformation and its realization of arithmatics[J].Journal of Wuhan University:Natural Science Edition,2000,46(1):123126.
[5]宋先海,肖柏勋,张学强,等.用改进的τp变换算法提取瞬态瑞雷波频散曲线[J].物探与化探,2003,27(4):292295.SONG Xian-hai,XIAO Bo-xun,ZHANG Xue-qiang,et al.The application of improvedτp transform algorithm to the extraction of dispersion curve of transient rayleigh wave[J].Geophysical&Geochemical Exploration,2003,27(4):292295.
[6]吴律.τp变换及应用[M].北京:石油工业出版社,1993.WU Lü.τp transformation and application[M].Beijing:Oil Industry Press,1993.
[7]张雅纯,唐文榜.τp变换压制线性干扰的应用[J].石油物探,1994,33(2):102106.ZHANG Ya-chun,TANG Wen-bang.τp transform for linear interference suppressions[J].Geophysical Prospecting for Petroleum,1994,33(2):102106.
[8]戚敬华,李萍.利用τp变换技术实现多波波场分离[J].煤田地质与勘探,1998,26(5):5457.QI Jin-hua,LI Ping.Multple wave field separation realized byτp transform[J].Coal Geology&Exploration,1998,26(5):5457.
[9]柴华友,卢应发,刘明贵,等.表面波谱分析影响因素研究[J].岩土力学,2004,24(5):347353.CHAI Hua-you,LU Ying-fa,LIU Ming-gui,et al.Influences of measuring factors on spectral analysis in surface wave testing[J].Rock and Soil Mechanics,2004,24(5):347353.
[10]Karray M,Lefebvre G.Techniques for mode separation in Rayleigh wave testing[J].Soil Dynamics and Earthquake Engineering,2008,20(1):113.
[11]鲁来玉.分层介质半空间瑞雷波模式分析和介质参数反演[D].北京:中国科学院研究生院,2004.LU Lai-yu.Mode analysis and inversion of parameters of Rayleigh waves in stratified media[D].Beijing:Graduate University of Chinese Academy of Sciences,2004.
[12]熊章强,张大洲,秦臻,等.瑞雷波数值模拟中的边界条件处理及模拟实例分析[J].中南大学学报:自然科学版,2008,39(4):824830.XIONG Zhang-qiang,ZHANG Da-zhou,QIN Zhen,et al.The boundary conditions study and case analysis for numerical modeling of Rayleigh wave[J].Journal of Central South University:Science and Technology,2008,39(4):824830.
[13]Park C B,Miller R D,Xia J.Imaging dispersion curves of surface waves on multi-channel record[C]//68th Annual International Meeting,SEG,Expanded Abstracts.New Orleans,1998:13771380.
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