A study of dispersion curves of Love waves in viscoelastic media and their application
Bao-Wei ZHANG1,2, Jin DONG3, Hua WU4
1. Institute of Geophysical and Geochemical Exploration,Chinese Academy of Geological Sciences,Langfang 065000,China 2. National Center for Geological Exploration Technology,Langfang 065000,China 3. The Third Railway Survey and Design Institute Group Corporation,Tianjin 300251,China 4. School of Science,Chang'an University,Xi'an 710064, China
At present,the geological situation of seismic exploration is becoming more and more complicated.With the continuous development of seismic exploration,especially for viscoelastic media,the technical requirements for surface wave exploration are getting higher and higher.Love wave refers to the horizontal polarization shear wave in the surface layer after repeated reflections at the boundary of the surface layer.Love wave detection is one of the shallow surface detection method.It is very convenient and has high detection precision.Therefore,the study of Love wave has important theoretical and practical significance.In this paper,the Love wave single shot record is simulated by high order finite difference method in the case of horizontal layered complex geological.The comparison of the dispersion curves with the theoretical dispersion curves proves that the method proposed in this paper is correct.The influence of the viscoelastic medium on the Love wave dispersion curve is also discussed.Then,the least squares inversion is used to verify this conclusion.This paper provides a more complete theoretical basis for the high-precision surface wave inversion method.Finally,the field data inversion results show that the proposed method is effective and practicable.
张保卫, 董晋, 吴华. 粘弹介质勒夫波频散曲线研究及应用[J]. 物探与化探, 2020, 44(3): 599-606.
Bao-Wei ZHANG, Jin DONG, Hua WU. A study of dispersion curves of Love waves in viscoelastic media and their application. Geophysical and Geochemical Exploration, 2020, 44(3): 599-606.
Rayleigh L. On waves propagated along the plane surface of an elastic solid[J]. Proceedings of the London Mathematical Society, 1887,17:4-11.
[2]
Love A E H. Some problems of geodynamics[J]. Nature, 1912,89:471-472.
doi: 10.1038/089471a0
[3]
Xia J, Xu Y, Luo Y. Advantages of using multichannel analysis of Love Waves(MALW) to estimate near-surface shear-wave velocity[J]. Surveys in Geophysics, 2012,33:841-860.
doi: 10.1007/s10712-012-9174-2
[4]
Yin X, Xia J, Shen C, et al. Comparative analysis on penetrating depth of high-frequency Rayleigh and Love waves[J]. Journal of Applied Geophysics, 2014,111:86-94.
doi: 10.1016/j.jappgeo.2014.09.022
[5]
Lai C G, Rix G J. Solution of the Rayleigh eigenproblem in viscoelastic media[J]. Bulletin of Seismological Society of America, 2002,92(6):2297-2309.
[6]
Zhang K, Luo Y H, Xia J H. Pseudospectral modeling and dispersion analysis of Rayleigh waves in viscoelastic media[J]. Soil Dynamics and Earthquake Engineering, 2011,31(10):1332-1337.
doi: 10.1016/j.soildyn.2011.05.004
Zhang K, Zhang B W, Liu J X, et al. Analysis on the cross of Rayleigh-wave dispersion curves in viscoelastic layered media[J]. Chinese Journal of Geophysics, 2016,59(3):972-980.
[9]
Winsborrow G, Huws D G, Muyzert E. Acquisition and inversion of Love wave data to measure the lateral variability of geo-acoustic properties of marine sediments[J]. Journal of Applied Geophysics, 2003,54(1):71-84.
doi: 10.1016/j.jappgeo.2003.07.001
[10]
Wang Y S, Zhang Z M, Ke L L. Propagation of Love waves in an inhomogeneous fluid saturated porous layered half-space with properties varying exponentially[J]. Journal of Engineering Mechanics, 2005,131(12):1322-1328.
doi: 10.1061/(ASCE)0733-9399(2005)131:12(1322)
[11]
Safani J O’Neill A Matsuoka T. Love wave modelling and inversion for low velocity layer cases[C]// Symposium on the Application of Geophysics to Engineering and Environmental Problems 2006,Environment and Engineering Geophysical Society, 2006: 1181-1190.
Ma Z J, Dong L C, The comparison of the sensibility of Love wave speed frequency dispersion curve[J]. Shanxi Architecture, 2008,34(12):121-122.
[13]
Luo Y, Xia J, Xu Y, et al. Finite-difference modeling and dispersion analysis of high-frequency love waves for near-surface applications[J]. Pure and Applied Geophysics, 2010,167(12):1525-1536.
doi: 10.1007/s00024-010-0144-7
[14]
Xia J, Yin X, Xu Y. Feasibility of determining Q of near-surface materials from Love waves[J]. Journal of Applied Geophysics, 2013,95(95):47-52.
doi: 10.1016/j.jappgeo.2013.05.007
[15]
Anderson D L, Ari B, Archambeau C B. Attenuation of Seismic Energy in the Upper Mantle[J]. Journal of Geophysical Research Atmospheres, 1965,70(6):1441-1448.
doi: 10.1029/JZ070i006p01441
Xie J F, Sun C Y, Wu D S, et al. Love wave modeling in viscoelastic media with unsplit CFS-CPML conditions[J]. Acta Seismologica Sinica, 2016,38(2):244-258.
Wu D S, Sun C Y, Lin M Y, et al. Unified solution of the Love-wave dispersion problem and its dynamic features in a viscoelastic medium[J]. Chinese Journal of Geophysics, 2017,60(2):688-703.
[18]
Morrison M W. In-Situ viscoelastic soil parameter estimation using love wave inversion[D]. Boise:Boise State University, 2014.
Shao G Z, Zhao K P, Wu H. Finite difference forward modeling of surface waves based on MPI[J]. Journal of Jilin University:Earth Science Edition, 2020,50(1):294-303.
Wu H, Li Q C, Shao G Z. Development status and prospect of Rayleigh waveform inversion[J]. Geophysical and Geochemical Exploration, 2018,42(6):1103-1111.