• ISSN 2097-1893
  • CN 10-1855/P


R. Hawkins M. Sambridge 冯刚 王凌 高翔 赵爱华

引用本文: 冯刚, 王凌, 高翔. 一种估计环境噪声互相关中台间相速度和群速度频散的联合方法. 世界地震译丛.51(6):699-715. doi:10.16738/j.cnki.issn.1003-3238.202006005


  • 摘要: 本文提出了一种联合提取勒夫波和瑞利波的群速度与相速度频散的方法。该方法以谱元的形式表示路径平均地球模型,地球模型以密度、横波速度、径向各向异性和VP/VS比等参数表征。为防止误判相位,首先使用启发式方法自动估计一个初步的频散曲线;然后,在频率域对台站对之间的噪声相关函数(NCF)进行更准确的拟合。对于信噪比较好的高质量互相关,该方法可以非常准确地拟合噪声相关函数的频谱,同时获得勒夫波和瑞利波相速度与群速度的可靠估计。另外,本文还介绍了如何利用雅可比矩阵的线性化近似来估计不确定性及其在层析成像反演中的应用。


  • [1] Aki, K. (1957). Space and time spectra of stationary stochastic waves with special refe-rence to microtremors, Bull. Earthq. Res. Inst. Univ. Tokyo35, 415-456.
    [2] Bensen, G. D., M. H. Ritzwoller, M. P. Barmin, A. L. Levshin, F. Lin, M. P. Moschetti, N. M. Shapiro, and Y. Yang (2007). Processing seismic ambient noise data to obtain reliable broad-band surface wave dispersion measurements, Geophys. J. Int.169, 1239-1260.
    [3] Boschi, L., C. Weemstra, J. Verbeke, G. Ekström, A. Zunino, and D. Giardini (2013). On measu-ring surface wave phase velocity from station-station cross-correlation of ambient signal, Geophys. J. Int.192, 346-358.
    [4] Bozdaǧ, E., J. Trampert, and J. Tromp (2011). Misfit functions for full waveform inversion based on instantaneous phase and envelope mea-surements, Geophys. J. Int.185, 845-870.
    [5] Brandsdottir, B., and W. Menke (2008). The seismic structure of Iceland, Jökull58, 17-34.
    [6] Campillo, M., and A. Paul (2003). Long-range correlation in the diffuse seismic coda, Science299, 547-549.
    [7] Datta, A., K. F. Priestly, S. Roecker, and C. H. Chapman (2017). Surface wave mode coupling and the validity of the path average approximation in surface waveform inversions:An empi-rical assessment,Geophys. J. Int.211, no.2, 1077-1098.
    [8] Derode, A., E. Larose, M. Tanter, J. de Rosny, A. Tourin, M. Campillo, and M. Fink (2003). Recovering the Green's function from field-field correlations in an open scattering medium (L), J. Acoust. Soc. Am.133, no.6, 2973-2976.
    [9] Dziewonski, A. M., and D. L. Anderson (1981). Preliminary reference Earth model, Phys. Ear-th Planet. In.25, no.4, 297-356.
    [10] Dziewonski, A. M., and A. L. Hales (1972). Numerical analysis of dispersed seismic waves, in Methods in Computational Physics, Vol. 11, B. A.Bolt, B. Alder, S. Fernbach, and M. Rotenberg (Editors), Academic Press, New York, New York, 39-85.
    [11] Ekström, G. (2014). Love and Rayleigh phase-velocity maps, 5-40s, of the western and central USA from USArray data, Earth Planet. Sci. Lett.402, 42-49.
    [12] Ekström, G., G. A. Abers, and S. C.Webb (2009). Determination of surfacewave phase velocities across USArray from noise and Aki's spectral formulation, Geophys. Res. Lett. 36, L18301, doi: 10.1029/2009GL039131.
    [13] Fichtner, A., L. Stehly, L. Ermert, and C. Boehm (2016). Generalized interferometry-I:Theory for interstation correlations, Geophys. J.Int.208, no.2, 603-638.
    [14] Green, R. G., K. F. Priestley, and R. S. White (2017). Ambient noise tomography reveals upper crustal structure of Icelandic rifts, Earth Planet.Sci. Lett.466, 20-31.
    [15] Gudmundsson, O., and M. Sambridge (1998). A regionalized upper mantle (rum) seismic model, J. Geophys. Res.103, no.B4, 7121-7136.
    [16] Gudmundsson, O., A. Khan, and P. Voss (2007). Rayleigh-wave group-velocity of the icelandic crust from correlation of ambient seismic noise, Geophys. Res. Lett.34, L14314, doi: 10.1029/2007GL030215.
    [17] Hawkins, R. (2018a). Advances in trans-dimensio-nal geophysical inversion, Ph. D. Thesis, Research School of Earth Science, Australian National University.
    [18] Hawkins, R. (2018b). A spectral element method for surface wave dispersion and adjoints, Geophys. J. Int.215, no.1, 267-302.
    [19] Hawkins, R., and M. Sambridge (2015). Geophysical imaging using transdimensional trees, Geophys. J. Int.203, no.2, 972-1000.
    [20] Hawkins, R., T. Bodin, M. Sambridge, G. Choblet, and L. Husson (2019).Trans-dimensional surface reconstruction with different classes of parameterization, Geochem. Geophys. Geosys.20, no.1, 505-529.
    [21] Hawkins, R., R. Brodie, and M. Sambridge (2018). Bayesian transdimensional inversion of Airborne Electromagnetic 2D conductivity profiles, Explor. Geophys.49, no.2, 134-147.
    [22] Herrmann, R. B. (2013). Computer programs in seismology:An evolving tool for instruction and research, Seismol. Res. Lett.84, no.6,1081-1088.
    [23] Jóhannesson, H., and K. S mundsson (1998). Geo-logical Map of Iceland:Tectonics, Icelandic Institute of Natural History, Reukjavik, Iceland.
    [24] Kennett, B. L. N., E. R. Engdahl, and R. Buland (1995). Constraints on seismic velocities in the earth from travel times, Geophys. J. Int.122, 108-124.
    [25] Knopoff, L. (1972). Observation and inversion of surface-wave dispersion, Tectonophysics13, no.1, 497-519.
    [26] Larose, E., A. Derode, D. Clorennec, L. Margerin, and M. Campillo (2005).Passive retrieval of Rayleigh waves in disordered elastic media, Phys.Rev. E72, 046607, doi: 10.1103/PhysRevE.72.046607.
    [27] Larose, E., L. Margerin, A. Derode, B. van Tiggelen, M. Campillo, N.Shapiro, A. Paul, L. Stehly, and M. Tanter (2006). Correlation of random wavefields:An interdisciplinary review, Geophysics71, no.4, S111-S121.
    [28] Laske, G., G. Masters, Z. Ma, and M. Pasyanos (2013). Update on CRUST1.0-A 1-degree global model of Earth's crust, Geophys.Res. Abstr.15, 2658, Abstract EGU2013-2658.
    [29] Li, A., and R. S. Detrick (2006). Seismic structure of Iceland from Rayleigh wave inversions and geodynamic implications, Earth Planet. Sci. Lett.241, 901-912.
    [30] Lobkis, O. I., and R. L. Weaver (2001). On the emergence of the Green's function in the correlations of a diffuse field, J. Acoust. Soc. Am.110,no. 6, 3011-3017.
    [31] Menke, W., and G. Jin (2015). Waveform fitting of cross spectra to determine phase velocity using Aki's formula, Bull. Seismol. Soc. Am.105,no.3, 1619-1627.
    [32] Paul, A., M. Campillo, L. Margerin, E. Larose, and A. Derode (2005).Empirical synthesis of time-asymmetrical Green functions from the correlation of coda waves, J. Geophys. Res.110, no.B08302, doi: 10.1029/2004JB003521.
    [33] Sabra, K. G., P. Gerstoft, P. Roux, and W. A. Kuperman (2005). Extracting time-domain Gre-en's function estimates from ambient seismic noise, Geophys. Res. Lett.32, L03310, doi: 10.1029/2004GL021862.
    [34] Sambridge, M. (2014). A parallel tempering algorithm for probabilistic sampling and multimodal optimization, Geophys. J. Int.192, 357-374.
    [35] Schimmel, M., and H. Paulssen (1997). Noise reduction and detection of weak, coherent signals through phase-weighted stacks, Geophys. J.Int.130, no.2, 497-505.
    [36] Seats, K. J., J. F. Lawrence, and G. A. Prieto (2012). Improved ambient noise correlation functions using Welch's method, Geophys. J. Int.188, 513-523.
    [37] Shapiro, N. M., and M. Campillo (2004). Emer-gence of broadband Rayleigh waves from correlations of the ambient seismic noise, Geophys.Res.Lett.31, L07614, doi: 10.1029/2004GL019491.
    [38] Snieder, R. (2004). Extracting the Green's function from the correlation of coda waves:A deriva-tion based on stationary phase, Phys. Rev. E69,046610, doi: 10.1103/PhysRevE.69.046610.
    [39] Tarantola, A. (2005). Inverse Problem Theory and Methods for Model Parameter Estimation, Society for Industrial Mathematics,Philadelphia, Pennsylvania.
    [40] Wapenaar, K. (2004). Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation, Phys. Rev. Lett.94, 254301, doi: 10.1103/PhysRevLett.93.254301.
    [41] Weaver, R. L., B. Froment, and M. Campillo (2009). On the correlation of non-isotropically distributed ballistic scalar diffuse waves, J. Acoust.Soc. Am.126, no.4, 1817-1826.
    [42] Yao, H., R. D. van der Hilst, and M. V. de Hoop (2006). Surface-wave array tomography if SE Tibet from ambient seismic noise and two-station analysis-I. Phase velocity maps, Geo-phys. J. Int.166,732-744.
    [43] Yao, H., G. Xu, L. Zhu, and X. Xiao (2005). Mantle structure from interstation Rayleigh wave dispersion and its tectonic implication in western china and neighboring regions, Phys. Earth Planet. In.148, 39-54.
  • 加载中
  • 文章访问数:  383
  • HTML全文浏览量:  110
  • PDF下载量:  32
  • 被引次数: 0