LI Daming, LI Yangyang. A mathematical model of calculating local tsunami wave source constraints and propagation[J]. Acta Oceanologica Sinica, 2015, 34(5): 103-109. doi: 10.1007/s13131-015-0673-0
Citation: LI Daming, LI Yangyang. A mathematical model of calculating local tsunami wave source constraints and propagation[J]. Acta Oceanologica Sinica, 2015, 34(5): 103-109. doi: 10.1007/s13131-015-0673-0

A mathematical model of calculating local tsunami wave source constraints and propagation

doi: 10.1007/s13131-015-0673-0
  • Received Date: 2014-05-23
  • Rev Recd Date: 2014-10-21
  • This paper presents a local tsunami simulation, including the initial displacement field model of tsunami source and tsunami wave propagation model. We deduced the tsunami wave equation; applied the matching of interior and exterior solutions method and water mass method to determine the initial displacement field in different bottom topography. Tsunami wave propagation model was based on the Boussinesq equation. Difference format was based on the ADI method which discretized in alternating direction in the form of implicit scheme. The open boundary of ADI had been revised considering the influence of wave propagation in the equation of motion. The local tsunami mathematical model was used in the simulation of 2011 Japan tsunami, and the results and the observation data match well.
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  • Cochard R, Ranamukhaarachchi S L, Shivakoti G P, et al. 2008. The 2004 tsunami in Aceh and Southern Thailand: A review on coastal ecosystems, wave hazards and vulnerability. Perspect-ives in Plant Ecology, Evolution and Systematics, 10(1): 3-40
    Darienzo M, Aya A, Crawford G L, et al. 2005. Local Tsunami warning in the Pacific coastal United States. Natural Hazards, 35(1): 111-119
    Frolov A V, Kamaev D A, Martyshchenko V A, et al. 2012. Experience of the Russian tsunami warning system updating. Russian Met-eorology and Hydrology, 37(6): 357-368
    Geist E L, Titov V V, Arcas D, et al. 2007. Implications of the 26 December 2004 Sumatra-Andaman earthquake on tsunami forecast and assessment models for great subduction-zone earthquakes. Bulletin of the Seismological Society of America, 97(1A): S249-S270
    Grilli S T, Harris J C, Tajalli Bakhsh T S, et al. 2013. Numerical simula-tion of the 2011 Tohoku Tsunami based on a new transient FEM co-seismic source: comparison to far-and near-field ob-servations. Pure and Applied Geophysics, 170(6-8): 1333-1359
    Grilli S T, Taylor O D S, Baxter C D P, et al. 2009. A probabilistic ap-proach for determining submarine landslide tsunami hazard along the upper east coast of the United States. Marine Geo-logy, 264(1-2): 74-97
    Igarashi Y, Kong L, Yamamoto M, et al. 2011. Anatomy of Historical Tsunamis: lessons learned for tsunami warning. Pure and Ap-plied Geophysics, 168(11): 2043-2063
    Jaffe B E, Gelfenbuam G. 2007. A simple model for calculating tsunami flow speed from tsunami deposits. Sedimentary Geo-logy, 200(3-4): 347-361
    Jing Huimin, Zhang Huai, Wu Zhongliang, et al. 2013. Tsunami con-straints on finite fault models: the March 11, 2011 Tohoku earthquake. Earthquake (in Chinese), 33(4): 207-213
    Li Daming, Fu Qingjun, Lin Yi. 2009. Research on the local tsunami wave propagation mathematical model. Ocean Technology (in
    Chinese), 28(1): 60-65
    McCreery C S. 2005. Impact of the national tsunami hazard mitiga-tion program on operations of the richard H. Hagemeyer Pa-cific Tsunami warning center. Natural Hazards, 35(1): 73-88
    Qian Weichang. 1981. Singular Perturbation Theory and Its Applica-tions in Mechanics (in Chinese). Beijing: Science Press, 87-131
    Ren Zhiyuan, Wang Benlong, Fan Tingting, et al. 2013. Numerical analysis of impacts of 2011 Japan Tohoku tsunami on China Coast. Journal of Hydrodynamics, Ser B, 25(4): 580-590
    Simons M, Minson S E, Sladen A, et al. 2011. The 2011 magnitude 9. 0 Tohoku-Oki earthquake: mosaicking the megathrust from seconds to centuries. Science, 332(6036): 1421-1425
    Szczuciński W. 2012. The post-depositional changes of the onshore 2004 tsunami deposits on the Andaman Sea coast of Thailand. Natural Hazards, 60(1): 115-133
    Tychsen J, Geertz-Hansen O, Schj.th S. 2008. KenSea-tsunami dam-age modelling for coastal areas of Kenya. Geological Survey of Denmark and Greenland Bulletin, 15: 85-88
    Wang Peitao, Yu Fujiang, Zhao Lianda, et al. 2012. Numerical analys-is of tsunami propagating generated by the Japan Mw9. 0 earth-quake on Mar. 11 in 2011 and its impact on China coasts. Chinese Journal of Geophysics (in Chinese), 55(9): 3088-3096
    Wijetunge J J. 2009. Field measurements and numerical simulations of the 2004 tsunami impact on the south coast of Sri Lanka. Ocean Engineering, 36(12-13): 960-973
    Xue Hongchao, Gu Jialong, Ren Rushu. 1980. Coastal Dynamics. Beijing: China Communications Press (in Chinese), 286-306
    Yan Zhenzhen, Zhang Huai, Fan Xiangtao, et al. 2014. Comparative analysis of the characteristics of global seismic wave propaga-tion excited by the Mw 9. 0 Tohoku earthquake using numeric-al simulation. Science China Earth Sciences, 57(7): 1626-1636
    Yuan Chuguang, Wang Yigang, Huang Huiming, et al. 2013. Impact of “311” Japan tsunami on northern Jiangsu coast. The Ocean En-gineering (in Chinese), 31(6): 68-75
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