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Wan Peng,Wang Gang,Yu Hongquan, et al. Mechanism of trapped wave over an ocean ridge based on the ray theory[J]. Haiyang Xuebao,2019, 41(11):35–39,doi:10.3969/j.issn.0253−4193.2019.11.004
Citation: Wan Peng,Wang Gang,Yu Hongquan, et al. Mechanism of trapped wave over an ocean ridge based on the ray theory[J]. Haiyang Xuebao,2019, 41(11):35–39,doi:10.3969/j.issn.0253−4193.2019.11.004

Mechanism of trapped wave over an ocean ridge based on the ray theory

doi: 10.3969/j.issn.0253-4193.2019.11.004
  • Received Date: 2019-01-10
  • Rev Recd Date: 2019-05-15
  • Available Online: 2021-04-21
  • Publish Date: 2019-11-25
  • Although many on-site measures and numerical simulations indicate that ocean ridges can trap tsunami waves and guide them toward the far-field area, causing serious disasters, few studies have elaborated its mechanism. Based on the ray theory, this paper derives analytical solutions of the ray trajectory for trapped waves over the exponential ocean ridge. Furthermore, the completely trapped condition for tsunamis generated at top of the ridge is proposed. Based on such critical condition, the formulation of the trapped efficiency is derived to evaluate the ratio of the energy trapped by the ocean ridge to the total tsunami energy.
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  • [1]
    Craig W. Surface water waves and tsunamis[J]. Journal of Dynamics and Differential Equations, 2006, 18(3): 525−549. doi: 10.1007/s10884-006-9031-4
    [2]
    杨马陵, 魏柏林. 南海海域地震海啸潜在危险的探析[J]. 灾害学, 2005, 20(3): 41−47. doi: 10.3969/j.issn.1000-811X.2005.03.009

    Yang Maling, Wei Bailin. The potential seismic tsunami risk in South China Sea and it’s surrounding region[J]. Journal of Catastrophology, 2005, 20(3): 41−47. doi: 10.3969/j.issn.1000-811X.2005.03.009
    [3]
    陈运泰, 杨智娴, 许力生. 海啸、地震海啸与海啸地震[J]. 物理, 2005, 34(12): 864−872. doi: 10.3321/j.issn:0379-4148.2005.12.002

    Chen Yuntai, Yang Zhixian, Xu Lisheng. Tsunamis, earthquake-generated tsunamis and tsunamigenic earthquakes[J]. Physics, 2005, 34(12): 864−872. doi: 10.3321/j.issn:0379-4148.2005.12.002
    [4]
    姚远, 蔡树群, 王盛安. 海啸波数值模拟的研究现状[J]. 海洋科学进展, 2007, 25(4): 487−494. doi: 10.3969/j.issn.1671-6647.2007.04.016

    Yao Yuan, Cai Shuqun, Wang Sheng’an. Present status of study on numerical simulation of tsunami wave[J]. Advances in Marine Science, 2007, 25(4): 487−494. doi: 10.3969/j.issn.1671-6647.2007.04.016
    [5]
    Kowalik Z, Horrillo J, Knight W, et al. Kuril Islands tsunami of November 2006: 1. Impact at Crescent City by distant scattering[J]. Journal of Geophysical Research: Oceans, 2008, 113(C1): C01020.
    [6]
    Rabinovich A B, Candella R N, Thomson R E. Energy decay of the 2004 Sumatra tsunami in the world ocean[J]. Pure and Applied Geophysics, 2011, 168(11): 1919−1950. doi: 10.1007/s00024-011-0279-1
    [7]
    Rabinovich A B, Woodworth P L, Titov V V. Deep-sea observations and modeling of the 2004 Sumatra tsunami in Drake Passage[J]. Geophysical Research Letters, 2011, 38(16): L16604.
    [8]
    Titov V, Rabinovich A B, Mofjeld H O, et al. The global reach of the 26 December 2004 Sumatra tsunami[J]. Science, 2005, 309(5743): 2045−2048. doi: 10.1126/science.1114576
    [9]
    Wilson R I, Admire A R, Borrero J C, et al. Observations and impacts from the 2010 Chilean and 2011 Japanese Tsunamis in California (USA)[J]. Pure and Applied Geophysics, 2013, 170(6/8): 1127−1147.
    [10]
    Rabinovich A B, Titov V V, Moore C W, et al. The 2004 Sumatra tsunami in the Southeastern Pacific Ocean: new global insight from observations and modeling[J]. Journal of Geophysical Research: Oceans, 2017, 122(10): 7992−8019. doi: 10.1002/2017JC013078
    [11]
    Longuet-Higgins M S. On the trapping of waves along a discontinuity of depth in a rotating ocean[J]. Journal of Fluid Mechanics, 1968, 31(3): 417−434. doi: 10.1017/S0022112068000236
    [12]
    Buchwald V T. Long waves on oceanic ridges[J]. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1969, 308(1494): 343−354. doi: 10.1098/rspa.1969.0014
    [13]
    Shaw R P, Neu W. Long-wave trapping by oceanic ridges[J]. Journal of Physical Oceanography, 1981, 11(10): 1334−1344. doi: 10.1175/1520-0485(1981)011<1334:LWTBOR>2.0.CO;2
    [14]
    Xiong Mengjie, Wang Gang, Zheng Jinhai, et al. Analytic arrival-time prediction method for the largest wave of tsunami trapped by parabolic oceanic ridges[J]. Journal of Earthquake and Tsunami, 2017, 11(1): 1740004. doi: 10.1142/S1793431117400048
    [15]
    王岗, 胡见, 王培涛, 等. 双曲余弦海脊上海啸俘获波的解析与数值研究[J]. 海洋学报, 2018, 40(5): 15−23. doi: 10.3969/j.issn.0253-4193.2018.05.002

    Wang Gang, Hu Jian, Wang Peitao, et al. Analytical and numerical investigation of tsunami trapped waves over a hyperbolic-cosine squared ocean ridge[J]. Haiyang Xuebao, 2018, 40(5): 15−23. doi: 10.3969/j.issn.0253-4193.2018.05.002
    [16]
    Mei C C, Stiassnie M, Yue D K P. Theory and Applications of Ocean Surface Waves[M]. Singapore: World Scientific, 2005.
    [17]
    邹志利. 水波理论及其应用[M]. 北京: 科学出版社, 2005: 565.

    Zou Zhili. Water Wave Theories and Their Applications[M]. Beijing: Science Press, 2005: 565.
    [18]
    Koshimura S I, Imamura F, Shuto N. Characteristics of tsunamis propagating over oceanic ridges: numerical simulation of the 1996 Irian Jaya earthquake tsunami[J]. Natural Hazards, 2001, 24(3): 213−229. doi: 10.1023/A:1012038121972
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