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基于FDTD方法研究重力作用下瑞利波传播特性

刘宁 李敏 孙杰

刘宁, 李敏, 孙杰等 . 基于FDTD方法研究重力作用下瑞利波传播特性[J]. 北京航空航天大学学报, 2015, 41(7): 1239-1245. doi: 10.13700/j.bh.1001-5965.2014.0503
引用本文: 刘宁, 李敏, 孙杰等 . 基于FDTD方法研究重力作用下瑞利波传播特性[J]. 北京航空航天大学学报, 2015, 41(7): 1239-1245. doi: 10.13700/j.bh.1001-5965.2014.0503
LIU Ning, LI Min, SUN Jieet al. Propagation characteristics of Rayleigh wave under gravity based on FDTD method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(7): 1239-1245. doi: 10.13700/j.bh.1001-5965.2014.0503(in Chinese)
Citation: LIU Ning, LI Min, SUN Jieet al. Propagation characteristics of Rayleigh wave under gravity based on FDTD method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(7): 1239-1245. doi: 10.13700/j.bh.1001-5965.2014.0503(in Chinese)

基于FDTD方法研究重力作用下瑞利波传播特性

doi: 10.13700/j.bh.1001-5965.2014.0503
详细信息
    作者简介:

    刘宁(1988—),女,辽宁丹东人,博士研究生,nicolaliu@buaa.edu.cn

    通讯作者:

    李敏(1968—),男,湖北天门人,教授,limin@buaa.edu.cn,主要研究方向为结构动力学.

  • 中图分类号: O347.4+1

Propagation characteristics of Rayleigh wave under gravity based on FDTD method

  • 摘要: 瑞利波(R波)在地质勘探和无损检测等许多领域都得到了广泛的关注和应用,重力作用对其的影响不可避免.基于前人提出的重力作用下的R波波速函数,进一步分析了不同弹性参数下重力对于该波速的影响,给出了近似波速函数的适用范围;采用时域有限差分(FDTD)方法、交错网格离散格式及扩展边界条件,模拟了微分高斯脉冲(DGP)激励下,准半空间体各向同性线弹性介质中的波传播问题,得到了更接近理论结果的波速值,同时进一步分析了重力对时域和频域响应等方面的影响.通过分析得到,为了更为准确地预测实验结果,有必要在模拟中加入重力作用.

     

  • [1] 寿旋, 夏唐代. 重力对具有表面层的半空间中Rayleigh波的影响[J].振动与冲击, 2011, 30(3): 191-194. Shou X, Xia T D.Rayleigh wave in a half space supporting a layer under influence of gravity[J].Journal of Vibration and Shock, 2011, 30(3): 191-194(in Chinese).
    [2] 曾新吾, 韩开锋, 张光莹.含裂缝介质中的弹性波传播特性[M].北京: 科学出版社, 2013: 7-10. Zeng X W, Han K F, Zhang G Y.Elastic wave propagation characteristics in cracked media[M].Beijing: Science Press, 2013: 7-10(in Chinese).
    [3] Yee K S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media[J].IEEE Transactions on Antennas and Propagation, 1966, 14(3): 302-307.
    [4] Alterman Z S, Loewenthal D.Seismic waves in a quarter and three-quarter plane[J].Geophysical Journal International, 1970, 20(2): 101-126.
    [5] Virieux J. SH-wave propagation in heterogeneous media: Velocity-stress finite-difference method[J].Geophysics, 1984, 49(11): 1933-1942.
    [6] Dai N, Vafidis A, Kanasewich E R.Wave propagation in heterogeneous, porous media: A velocity-stress, finite-difference method[J].Geophysics, 1995, 60(2): 327-340.
    [7] Schroder C T, Scott Jr W R, Larson G D.Elastic waves interacting with buried land mines: A study using the FDTD method[J].IEEE Transactions on Geoscience and Remote Sensing, 2002, 40(6): 1405-1415.
    [8] Jafargandomi A, Takenaka H.Non-standard FDTD for elastic wave simulation: Two-dimensional P-SV case[J].Geophysical Journal International, 2009, 178(1): 282-302.
    [9] Matsuda N, Biwa S.A finite-difference time-domain technique for nonlinear elastic media and its application to nonlinear Lamb wave propagation[J].Japanese Journal of Applied Physics, 2012, 51(7S): 7G-14G.
    [10] Chew W C. Waves and fields in inhomogeneous media[M].Piscataway, NJ: IEEE Press, 1995: 246-271.
    [11] Bromwich T I. On the influence of gravity on elastic waves, and, in particular on the vibrations of an elastic globe[J].Proceedings of the London Mathematical Society, 1898, 1(1): 98-120.
    [12] Love A E H. Some problems of geodynamics: Being an essay to which the Adams prize in the university of Cambridge was adjudged in 1911[M].Cambridge: Cambridge University Press, 1911: 159-194.
    [13] Abd-Alla A M. Propagation of Rayleigh waves in an elastic half-space of orthotropic material[J].Applied Mathematics and Computation, 1999, 99(1): 61-69.
    [14] Biot M A.Mechanics of incremental deformations[M].New York: John Wiley & Sons, 1965: 273-281.
    [15] Virieux J. P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method[J].Geophysics, 1986, 51(4): 889-901.
    [16] Uduwawala D. Gaussian vs differentiated gaussian as the input pulse for ground penetrating radar applications[C]//Second International Conference on Industrial and Information Systems.Piscataway, NJ: IEEE Press, 2007: 199-202.
    [17] Schröder C T, Scott Jr W R.On the complex conjugate roots of the Rayleigh equation: the leaky surface wave[J].The Journal of the Acoustical Society of America, 2001, 110(6): 2867-2877.
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出版历程
  • 收稿日期:  2014-08-11
  • 修回日期:  2014-11-20
  • 刊出日期:  2015-07-20

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