基于多模态分离的面波谱分析方法
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摘要
面波频谱分析法(SASW)作为一种横向分辨率较高的瑞雷面波勘探方法,由于计算得到的基阶面波频散曲线存在较大误差以及无法获得高阶模式频散曲线而在应用中受到限制.通过应用Fourier变换方法(FT法)分离提取面波各模态数据,进而对分离后的各模态数据利用SASW法计算频散曲线.通过模型实例分析得出:(1)利用SASW计算基阶面波频散曲线时必须分离得到基阶面波数据,然后计算才能得到正确的结果;(2)基于多模态分离的SASW法可以计算得到面波高阶模式的频散曲线.
Spectrum analysis of surface wave (SASW) is one of the Rayleigh wave exploration methods with higher lateral resolution. Presently,there is a large error in calculating fundamental mode dispersion curve of the Rayleigh wave and the dispersion curve of the higher mode can't be calculated by the SASW method. As a result,it is limited in its application. In this paper,different modes of Rayleigh wave are separated and extracted by Fourier transform (FT method),and then,the dispersion curve will be calculated by the SASW method using the Rayleigh wave data after the separation. According to the analysis of examples,it can be concluded that:(1) when using the SASW method to calculate the fundamental mode dispersion curve,the Rayleigh wave data of fundamental mode should be separated first,and then calculated. Or else,the fundamental mode dispersion curve couldn't be right; (2) it can get higher mode dispersion curve by the SASW method based on multi-mode separation.
Spectrum analysis of surface wave (SASW) is one of the Rayleigh wave exploration methods with higher lateral resolution. Presently,there is a large error in calculating fundamental mode dispersion curve of the Rayleigh wave and the dispersion curve of the higher mode can't be calculated by the SASW method. As a result,it is limited in its application. In this paper,different modes of Rayleigh wave are separated and extracted by Fourier transform (FT method),and then,the dispersion curve will be calculated by the SASW method using the Rayleigh wave data after the separation. According to the analysis of examples,it can be concluded that:(1) when using the SASW method to calculate the fundamental mode dispersion curve,the Rayleigh wave data of fundamental mode should be separated first,and then calculated. Or else,the fundamental mode dispersion curve couldn't be right; (2) it can get higher mode dispersion curve by the SASW method based on multi-mode separation.
引文
Chai,H.Y.,Lu,Y.F.,Liu,M.G.,2004.Influences of meas-uring factors on spectral analysis in surface wave tes-ting.Rock and Soil Mechanics,24(5):347-353(inChinese with English abstract).
Chai,H.Y.,Wei,C.F.,Bai,S.W.,2008.Approxi mate ap-proach to analyzing effective velocity of surface waves.Rock and Soil Mechanics,29(1):87-93(in Chinesewith English abstract).
Gabriels,P.,Snieder,R.,Nolet,G.,1987.In situ measure-ments of shear-wave velocity in sedi ments with higher-mode Rayleigh waves.Geophysical Prosp.,35:187-196.
Gucunski,N.,Woods,R.D.,1992.Numerical si mulation ofthe SASW test.Soil Dynamic Earthquake Engineer-ing,11(3):213-227.
Lin,C.P.,Chang,C.C.,Chang,T.S.,2004.The use ofMASW method in the assessment of soil liquefactionpotential.Soil Dynamic Earthquake Engineering,24(10):689-698.
Liu,J.P.,Hou,W.S.,Xu,S.F.,2003.Adjacent-channeltransient Rayleigh wave method and its application incompression strength test of water-tight wall.YangtzeRiver,34(2):34-37(in Chinese with English ab-stract).
Liu,Y.Z.,Wang,Z.D.,1996.Data collection and processingsystemof transient surface wave method and examplesof its application.Geophysical&Geochemical Explora-tion,20(1):15-18(in Chinese with English abstract).
Lu,L.Y.,2004.Mode analysis and inversion of parametersof Rayleigh waves in stratified media(Dissertation).Graduate University of Chinese Academy of Sciences,Beijing(in Chinese).
Mourad Karray,Guy Lefebvre,2008.Techniques for modeseparationin Rayleigh wave testing.Soil Dynamics andEarthquake Engineering,20(1):1-13.
Park,C.B.,Miller,R.D.,Xia,J.H.,et al.,1998.I magingdispersion curves of surface waves on multi-channel re-cord.68th Annual International Meeting,SEG,Expand-ed Abstracts,1377-1380.
Park,C.B.,Mille,R.D.,Xia,J.H.,1999.Multichannel anal-ysis of surface waves.Geophysics,64(3):800-808.
Song,X.H.,Xiao,B.X.,Zhang,X.Q.,2003.The applica-tion of i mprovedτ-ptransformalgorithmto the extrac-tion of dispersion curve of transient Rayleigh wave.Ge-ophysical&Geochemical Exploration,27(4):292-295(in Chinese with English abstract).
Song,X.H.,Gu,H.M.,Liu,J.P.,et al.,2007.Esti mationof shallow subsurface shear-wave velocity by invertingfundamental and higher-mode Rayleigh waves.Soil Dy-namics and Earthquake Engineering,27(5):599-607.
Toki matsu,K.,Tamura,S.,Koji ma,H.,1992.Effects ofmultiple modes on Rayleigh wave dispersion character-istics.Journal of Geotechnical Engineering,ASCE,118(10):1529-1543.
Wu,L.,1993.τ-ptransformation and application.PublishingHouse of Oil Industry,Beijing(in Chinese).
Xia,J.H.,Miller,R.D.,Park,C.B.,et al.,2003.Inversion of high frequency surface waves with fundamental andhigher modes.J.Apply Geophys.,52(1):45-57.
Xiong,Z.Q.,Zhang,D.Z.,Qin,Z.,et al.,2008.Boundaryconditions study and case analysis for numerical model-ing of Rayleigh wave.Central South University(Sci-ence and Technology),39(4):824-830(in Chinesewith English abstract).
Young,S.C.,2003.Dispersive characteristic measurement ofmulti-layer cement mortar slabs using SASW methodand neural network.Computers and Structures,81:2491-2499.
Zhao,Z.Z.,Li,H.,1994.The application of surface wavespectral analysis method to the evaluation of foundationtreat ment effects.Geophysical&Geochemical Explo-ration,18(5):326-330(in Chinese with English ab-stract).
柴华友,卢应发,刘明贵,2004.表面波谱分析影响因素研究.岩土力学,24(5):347-353.
柴华友,韦昌富,白世伟,2008.表面波有效相速度近似分析方法.岩土力学,29(1):87-93.
刘江平,侯卫生,许顺芳,2003.相邻道瑞雷波法及在防渗墙强度检测中的应用.人民长江,34(2):34-37.
刘云祯,王振东,1996.瞬态面波法的数据采集处理系统及其应用实例.物探与化探,20(1):15-18.
鲁来玉,2004.分层介质半空间瑞雷波模式分析和介质参数反演(学位论文).北京:中国科学院研究生院.
宋先海,肖柏勋,张学强,等,2003.用改进的τ-p变换算法提取瞬态瑞雷波频散曲线.物探与化探,27(4):292-295.
吴律,1993.τ-p变换及应用.北京:石油工业出版社.
熊章强,张大洲,秦臻,等,2008.瑞雷波数值模拟中的边界条件处理及模拟实例分析.中南大学学报(自然科学版),39(4):824-830.
赵竹占,李华,1994.表面波谱分析法在评价地基处理效果中的应用.物探与化探,18(5):326-330.
Chai,H.Y.,Wei,C.F.,Bai,S.W.,2008.Approxi mate ap-proach to analyzing effective velocity of surface waves.Rock and Soil Mechanics,29(1):87-93(in Chinesewith English abstract).
Gabriels,P.,Snieder,R.,Nolet,G.,1987.In situ measure-ments of shear-wave velocity in sedi ments with higher-mode Rayleigh waves.Geophysical Prosp.,35:187-196.
Gucunski,N.,Woods,R.D.,1992.Numerical si mulation ofthe SASW test.Soil Dynamic Earthquake Engineer-ing,11(3):213-227.
Lin,C.P.,Chang,C.C.,Chang,T.S.,2004.The use ofMASW method in the assessment of soil liquefactionpotential.Soil Dynamic Earthquake Engineering,24(10):689-698.
Liu,J.P.,Hou,W.S.,Xu,S.F.,2003.Adjacent-channeltransient Rayleigh wave method and its application incompression strength test of water-tight wall.YangtzeRiver,34(2):34-37(in Chinese with English ab-stract).
Liu,Y.Z.,Wang,Z.D.,1996.Data collection and processingsystemof transient surface wave method and examplesof its application.Geophysical&Geochemical Explora-tion,20(1):15-18(in Chinese with English abstract).
Lu,L.Y.,2004.Mode analysis and inversion of parametersof Rayleigh waves in stratified media(Dissertation).Graduate University of Chinese Academy of Sciences,Beijing(in Chinese).
Mourad Karray,Guy Lefebvre,2008.Techniques for modeseparationin Rayleigh wave testing.Soil Dynamics andEarthquake Engineering,20(1):1-13.
Park,C.B.,Miller,R.D.,Xia,J.H.,et al.,1998.I magingdispersion curves of surface waves on multi-channel re-cord.68th Annual International Meeting,SEG,Expand-ed Abstracts,1377-1380.
Park,C.B.,Mille,R.D.,Xia,J.H.,1999.Multichannel anal-ysis of surface waves.Geophysics,64(3):800-808.
Song,X.H.,Xiao,B.X.,Zhang,X.Q.,2003.The applica-tion of i mprovedτ-ptransformalgorithmto the extrac-tion of dispersion curve of transient Rayleigh wave.Ge-ophysical&Geochemical Exploration,27(4):292-295(in Chinese with English abstract).
Song,X.H.,Gu,H.M.,Liu,J.P.,et al.,2007.Esti mationof shallow subsurface shear-wave velocity by invertingfundamental and higher-mode Rayleigh waves.Soil Dy-namics and Earthquake Engineering,27(5):599-607.
Toki matsu,K.,Tamura,S.,Koji ma,H.,1992.Effects ofmultiple modes on Rayleigh wave dispersion character-istics.Journal of Geotechnical Engineering,ASCE,118(10):1529-1543.
Wu,L.,1993.τ-ptransformation and application.PublishingHouse of Oil Industry,Beijing(in Chinese).
Xia,J.H.,Miller,R.D.,Park,C.B.,et al.,2003.Inversion of high frequency surface waves with fundamental andhigher modes.J.Apply Geophys.,52(1):45-57.
Xiong,Z.Q.,Zhang,D.Z.,Qin,Z.,et al.,2008.Boundaryconditions study and case analysis for numerical model-ing of Rayleigh wave.Central South University(Sci-ence and Technology),39(4):824-830(in Chinesewith English abstract).
Young,S.C.,2003.Dispersive characteristic measurement ofmulti-layer cement mortar slabs using SASW methodand neural network.Computers and Structures,81:2491-2499.
Zhao,Z.Z.,Li,H.,1994.The application of surface wavespectral analysis method to the evaluation of foundationtreat ment effects.Geophysical&Geochemical Explo-ration,18(5):326-330(in Chinese with English ab-stract).
柴华友,卢应发,刘明贵,2004.表面波谱分析影响因素研究.岩土力学,24(5):347-353.
柴华友,韦昌富,白世伟,2008.表面波有效相速度近似分析方法.岩土力学,29(1):87-93.
刘江平,侯卫生,许顺芳,2003.相邻道瑞雷波法及在防渗墙强度检测中的应用.人民长江,34(2):34-37.
刘云祯,王振东,1996.瞬态面波法的数据采集处理系统及其应用实例.物探与化探,20(1):15-18.
鲁来玉,2004.分层介质半空间瑞雷波模式分析和介质参数反演(学位论文).北京:中国科学院研究生院.
宋先海,肖柏勋,张学强,等,2003.用改进的τ-p变换算法提取瞬态瑞雷波频散曲线.物探与化探,27(4):292-295.
吴律,1993.τ-p变换及应用.北京:石油工业出版社.
熊章强,张大洲,秦臻,等,2008.瑞雷波数值模拟中的边界条件处理及模拟实例分析.中南大学学报(自然科学版),39(4):824-830.
赵竹占,李华,1994.表面波谱分析法在评价地基处理效果中的应用.物探与化探,18(5):326-330.
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