利用改进的F-K变换法提取瑞雷波的频散曲线
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摘要
瑞雷波成像能够有效的探测近地表的横波速度结构,准确的提取瑞雷波的频散曲线是该技术的关键.F-K变换法是一种常见的提取频散曲线的方法,然而传统的F-K变换法由于受到震源频带范围和介质滤波作用的影响,计算的频散能量通常集中在较窄的频带范围内,其余频带的能量受到压制,因此提取出的频散曲线频带范围较窄,高阶模式不易识别,为了克服这种缺陷,我们提出一种改进的F-K变换法,提高了该方法提取高阶模式频散曲线的能力.在本文中,我们首先介绍了改进的F-K变换法的原理与计算步骤,然后分别利用传统的和改进的F-K变换法对理论模型正演模拟和实际采集的瑞雷波数据进行处理,将两种方法得到的频散能量图进行对比,结果表明改进的F-K变换法能够呈现出分辨率更高的频散信息,保证了高阶模式频散曲线的有效提取.
Rayleigh wave imaging is an efficient tool to estimate shear wave velocity in near-surface explorations. One key step of this technology is accurately determining the dispersion curves of Rayleigh wave. F-K transform is a commonly used dispersion curve imaging approach,however,the dispersive energy of this approach is severely affected by the amplitude of wave field which distributed in a narrow frequency band, the energy peaks also uneven distributed at different modes. In order to overcome these shortages,we propose an improved F-K transform approach for high resolution multi-mode dispersion curve imaging. In this paper, we first introduce the principle and steps of the improved F-K transform,then comparison has been made between conventional and improved F-K transform using both synthetic and real-world data. Results show that the improved F-K transform successfully enhance the higher order dispersive energies and bring a higher resolution of dispersion imaging.
Rayleigh wave imaging is an efficient tool to estimate shear wave velocity in near-surface explorations. One key step of this technology is accurately determining the dispersion curves of Rayleigh wave. F-K transform is a commonly used dispersion curve imaging approach,however,the dispersive energy of this approach is severely affected by the amplitude of wave field which distributed in a narrow frequency band, the energy peaks also uneven distributed at different modes. In order to overcome these shortages,we propose an improved F-K transform approach for high resolution multi-mode dispersion curve imaging. In this paper, we first introduce the principle and steps of the improved F-K transform,then comparison has been made between conventional and improved F-K transform using both synthetic and real-world data. Results show that the improved F-K transform successfully enhance the higher order dispersive energies and bring a higher resolution of dispersion imaging.
引文
Buchen P W,Ben-Hador R.1996.Free-mode surface-wave computations[J].Geophysical Journal International,124(3):869-887.
Chen S Z,Liu H L.2000.Requesting transient-state Rayleigh wave’sλR-vRcurve byτ-p transformation and its realizations of arithmatic[J].Journal of Wuhan University(Natural Science Edition)(in Chinese),46(1):123-126.
Dorman J,Ewing M.1962.Numerical inversion of seismic surface wave dispersion data and crust-mantle structure in the New YorkPennsylvania area[J].Journal of Geophysical Research,67(13):5227-5241.
Haskell N A.1953.The dispersion of surface waves on multilayered media[J].Bulletin of the Seismomlogmical Society of America,43(1):17-34.
Li Q C,Shao G Z,Liu J L,et al.2006.Past,present and future of Rayleigh surface wave exploration[J].Journal of Earth Sciences and Environment(in Chinese),28(3):74-77.
Lu J Q.2013.Multi-channel analysis of surface wave and its utility(in Chinese)[Ph.D.thesis].Harbin:Institute of Engineering Mechanics,China Earthquake Administration.
Lu J Q,Li S Y,Li W.2013.Surface wave dispersion imaging umsinmg improvedτ-p transform approach[J].Applied Mechanics and Materials,353-356:1196-1202.
Park C B,Miller R D,Xia J H.1998.Imaging dispersion curves of surface waves on multi-channel record[C].//SEG Technical Program Expanded Abstracts.Expanded Abstracts,1377-1380.
Park C B,Miller R D,Xia J H.1999.Multichannel analysis of surface waves[J].Geophysics,64(3):800-808.
Rayleigh L.1885.On waves propagated along the plane surface of an elastic solid[J].Proceedings of the London Mathematical Society,17(1):4-11.
Shao G Z,Li Q C.2010.Joint application ofτ-p and phase-shift stacking method to extract ground wave dispersion curve[J].Oil Geophysical Prospecting(in Chinese),45(6):836-840.
Shao G Z,Li Q C,Wu H.2015.Dispersion curves and mode energy distribution of Rayleigh wave based on wavefield numerical simulation[J].Oil Geophysical Prospecting(in Chinese),50(2):306-315.
Stokoe II K H,Nazarian S.1983.Effectiveness of ground improvement from spectral analysis of surface waves[C].//Proceedings of the8th European Conference on Soil Mechanics and Foundation Engineering.Helmsinmki,Finland.
Xia J,Chen C,Li P H,et al.2004.Delineation of a collapse feature in a noisy environment umsinmg a multichannel surface wave technique[J].Géotechnique,54(1):17-27.
Xia J H,Miller R D,Park C B.1999.Estimation of near-surface shearwave velocity by inversion of Rayleigh waves[J].Geophysics,64(3):691-700.
Xia J H,Miller R D,Park C B,et al.2002.Determining Q of nearsurface materials from Rayleigh waves[J].Journal of Applied Geophysics,51(2-4):121-129.
Xia J H,Miller R D,Park C B,et al.2003.Inversion of high frequency surface waves with fundamental and higher modes[J].Journal of Applied Geophysics,52(1):45-57.
Xue X D,Cheng X Y,Zhao X J,et al.2014.Study and application of Rayleigh wave exploration on project of seismic safety assessment[J].Earthquake Research in Shanxi(in Chinese),(1):28-30.
Yang C L,Shi F R,Li C X,et al.1996.The application of Rayleigh wave and some other methods to the non-destructive inspection of highway quality[J].Geophysical and Geochemical Exploration(in Chinese),20(2):104-115.
Yilmaz O.1987.Seismic data procesmsinmg[C].//Society of Exploration Geophysicists.Tulsa,OK.
Yilmaz O,Eser M,Berimlgmen M.2006.A case study of seismic zonation in municipal areas[J].The Leading Edge,25(3):319-330.
Zhou X X,Wang Z G.2004.Discussion on feasibility of umsinmg Rayleigh wave to investigate near-surface structure[J].Oil Geophysical Prospecting(in Chinese),39(2):181-186.
Zhou Z S,Yang P K,Chen Y L.2012.The method of Rayleigh wave dispersion curve extraction based on generalized S-transform with variable-factors[J].Computing Techniques for Geophysical and Geochemical Exploration(in Chinese),34(5):518-522.
陈淑珍,刘怀林.2000.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),46(1):123-126.
李庆春,邵广周,刘金兰,等.2006.瑞雷面波勘探的过去、现在和未来[J].地球科学与环境学报,28(3):74-77.
卢建旗.2013.多道面波分析方法及其应用研究[博士论文].哈尔滨:中国地震局工程力学研究所.
邵广周,李庆春.2010.联合应用τ-p变换法和相移法提取面波频散曲线[J].石油地球物理勘探,45(6):836-840.
邵广周,李庆春,吴华.2015.基于波场数值模拟的瑞利波频散曲线特征及各模式能量分布[J].石油地球物理勘,50(2):306-315.
薛晓东,程新原,赵向佳,等.2014.瑞雷波勘探方法在地震安全性评价项目中的应用与研究[J].山西地震,(1):28-30.
杨成林,时福荣,李从信,等.1996.应用瑞雷波等方法对公路质量进行无损检测[J].物探与化探,20(2):104-115.
周熙襄,王振国.2004.利用瑞利面波调查表层结构的可行性探讨[J].石油地球物理勘探,39(2):181-186.
周竹生,杨朋凯,陈友良.2012.基于含可变因子广义S变换的瑞雷面波频散曲线提取方法[J].物探化探计算技术,34(5):518-522.
Chen S Z,Liu H L.2000.Requesting transient-state Rayleigh wave’sλR-vRcurve byτ-p transformation and its realizations of arithmatic[J].Journal of Wuhan University(Natural Science Edition)(in Chinese),46(1):123-126.
Dorman J,Ewing M.1962.Numerical inversion of seismic surface wave dispersion data and crust-mantle structure in the New YorkPennsylvania area[J].Journal of Geophysical Research,67(13):5227-5241.
Haskell N A.1953.The dispersion of surface waves on multilayered media[J].Bulletin of the Seismomlogmical Society of America,43(1):17-34.
Li Q C,Shao G Z,Liu J L,et al.2006.Past,present and future of Rayleigh surface wave exploration[J].Journal of Earth Sciences and Environment(in Chinese),28(3):74-77.
Lu J Q.2013.Multi-channel analysis of surface wave and its utility(in Chinese)[Ph.D.thesis].Harbin:Institute of Engineering Mechanics,China Earthquake Administration.
Lu J Q,Li S Y,Li W.2013.Surface wave dispersion imaging umsinmg improvedτ-p transform approach[J].Applied Mechanics and Materials,353-356:1196-1202.
Park C B,Miller R D,Xia J H.1998.Imaging dispersion curves of surface waves on multi-channel record[C].//SEG Technical Program Expanded Abstracts.Expanded Abstracts,1377-1380.
Park C B,Miller R D,Xia J H.1999.Multichannel analysis of surface waves[J].Geophysics,64(3):800-808.
Rayleigh L.1885.On waves propagated along the plane surface of an elastic solid[J].Proceedings of the London Mathematical Society,17(1):4-11.
Shao G Z,Li Q C.2010.Joint application ofτ-p and phase-shift stacking method to extract ground wave dispersion curve[J].Oil Geophysical Prospecting(in Chinese),45(6):836-840.
Shao G Z,Li Q C,Wu H.2015.Dispersion curves and mode energy distribution of Rayleigh wave based on wavefield numerical simulation[J].Oil Geophysical Prospecting(in Chinese),50(2):306-315.
Stokoe II K H,Nazarian S.1983.Effectiveness of ground improvement from spectral analysis of surface waves[C].//Proceedings of the8th European Conference on Soil Mechanics and Foundation Engineering.Helmsinmki,Finland.
Xia J,Chen C,Li P H,et al.2004.Delineation of a collapse feature in a noisy environment umsinmg a multichannel surface wave technique[J].Géotechnique,54(1):17-27.
Xia J H,Miller R D,Park C B.1999.Estimation of near-surface shearwave velocity by inversion of Rayleigh waves[J].Geophysics,64(3):691-700.
Xia J H,Miller R D,Park C B,et al.2002.Determining Q of nearsurface materials from Rayleigh waves[J].Journal of Applied Geophysics,51(2-4):121-129.
Xia J H,Miller R D,Park C B,et al.2003.Inversion of high frequency surface waves with fundamental and higher modes[J].Journal of Applied Geophysics,52(1):45-57.
Xue X D,Cheng X Y,Zhao X J,et al.2014.Study and application of Rayleigh wave exploration on project of seismic safety assessment[J].Earthquake Research in Shanxi(in Chinese),(1):28-30.
Yang C L,Shi F R,Li C X,et al.1996.The application of Rayleigh wave and some other methods to the non-destructive inspection of highway quality[J].Geophysical and Geochemical Exploration(in Chinese),20(2):104-115.
Yilmaz O.1987.Seismic data procesmsinmg[C].//Society of Exploration Geophysicists.Tulsa,OK.
Yilmaz O,Eser M,Berimlgmen M.2006.A case study of seismic zonation in municipal areas[J].The Leading Edge,25(3):319-330.
Zhou X X,Wang Z G.2004.Discussion on feasibility of umsinmg Rayleigh wave to investigate near-surface structure[J].Oil Geophysical Prospecting(in Chinese),39(2):181-186.
Zhou Z S,Yang P K,Chen Y L.2012.The method of Rayleigh wave dispersion curve extraction based on generalized S-transform with variable-factors[J].Computing Techniques for Geophysical and Geochemical Exploration(in Chinese),34(5):518-522.
陈淑珍,刘怀林.2000.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),46(1):123-126.
李庆春,邵广周,刘金兰,等.2006.瑞雷面波勘探的过去、现在和未来[J].地球科学与环境学报,28(3):74-77.
卢建旗.2013.多道面波分析方法及其应用研究[博士论文].哈尔滨:中国地震局工程力学研究所.
邵广周,李庆春.2010.联合应用τ-p变换法和相移法提取面波频散曲线[J].石油地球物理勘探,45(6):836-840.
邵广周,李庆春,吴华.2015.基于波场数值模拟的瑞利波频散曲线特征及各模式能量分布[J].石油地球物理勘,50(2):306-315.
薛晓东,程新原,赵向佳,等.2014.瑞雷波勘探方法在地震安全性评价项目中的应用与研究[J].山西地震,(1):28-30.
杨成林,时福荣,李从信,等.1996.应用瑞雷波等方法对公路质量进行无损检测[J].物探与化探,20(2):104-115.
周熙襄,王振国.2004.利用瑞利面波调查表层结构的可行性探讨[J].石油地球物理勘探,39(2):181-186.
周竹生,杨朋凯,陈友良.2012.基于含可变因子广义S变换的瑞雷面波频散曲线提取方法[J].物探化探计算技术,34(5):518-522.