To compare and analyze the dispersion accuracy of Rayleigh wave calculated by wavelet transform and S transform, the authors applied staggered grid high-order finite difference method to two-layer model and six-layer model designed by the authors, then the Rayleigh wave records of different modes in time-space domain were isolated by using F-K method, and Rayleigh wave dispersion curves of different modes were calculated by using wavelet transform and S transform in comparison with the theoretical values. Finally, the two methods were used to deal with real data. The results shows that the error in the low frequency of the dispersion curve calculated by wavelet transform is relatively large and the accuracy of the dispersion curve calculated by S transform is higher than that calculated by wavelet transform on the whole.
林丹丹, 熊章强, 张大洲. 基于多模式分离的S变换与小波变换提取面波频散曲线对比分析[J]. 物探与化探, 2014, (3): 544-551.
Lin Dandan, Xiong Zhangqiang, Zhang Dazhou. A comparative study of surface wave dispersion curves extracted from S transform and wavelet transform based on multi-mode separation. Geophysical and Geochemical Exploration, 2014, (3): 544-551.
[1] 蒋婵娟.瑞雷面波资料处理方法研究[D].长沙:中南大学,2009.[2] 陈艳艳.瑞雷波频散曲线提取及快速反演分析应用研究[D].哈尔滨:哈尔滨工业大学,2010.[3] 张大洲,顾汉明,熊章强,等.基于多模态分离的面波谱分析方法[J].地球科学:中国地质大学学报,2009,34(6):1012-1018.[4] Kishmoto K,Inoue H, Hamada M, et al.Time frequency analysis of dispersive waves by means of wavelet transform[J].ASME Trans. J. Appl. Mech.,1995,62(4):841-846.[5] Inoue H, Kishimoto K, Shibuya T.Experimental wavelet snalysis of flexural waves in beams[J].Experimental Mechanics,1996,36(3):212-217.[6] Kim D S, Park H C.Determination of dispersive phas velocities for SASW method using Harmonic wavelet transform[J].Soil Dynamics and Earthquake Engineering,2002,22(8):675-685.[7] Aero S, Bose S, Valero H P. Automatic dispersion extraction using continuous wavelet transform[C]//ICASSP,2008:2045-2058.[8] 马见青,李庆春,樊金生,等.基于S变换的瑞利面波频散分析[J].地球科学与环境学报,2010,32(3):319-323.[9] 王佳文.小波变换与广义S变换在瑞利波频散曲线提取中的应用[D].哈尔滨:哈尔滨工业大学.2009.[10] 郭彤颖,吴成东,曲道奎.小波变换理论应用进展[J].信息与控制,2004,3(1):67-71.[11] 刘崇春,裘正定,杜锡钰.小波变换理论及其在信号处理中的应用[J].北方交通大学学报,1997,21(1):20-27.[12] Stockwell R G,Mansinha L P,Lowe R.Localization of the complex spectrum:the S transform[J].IEEE transactions on signalprocessing, 1996, 44(4):998-1001.[13] 刘振明,顾汉明,詹凤林.变换时频分析在隧道岩溶地震勘探解释中的应用[J].工程地球物理学报,2010,7(1):50-54.[14] 陈雨红,杨长春,曹齐放,等.几种时频分析方法比较[J].地球物理学展,2006,21(4):1180-1185.[15] 张大洲,熊章强,秦臻.基于Fourier变换的瑞雷面波分离提取及实例分析[J].中南大学学报:地球科学版,2010,41(2):643-648.[16] 凡有华,刘家琦,肖柏勋.计算瑞利波频散曲线的快速矢量传递算法[J].湖南大学学报,2002,29(5):25-30.
