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Distribution Functions of Tsunami Wave Heights

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  • Byung Choi
  • Efim Pelinovsky
  • Igor Ryabov
  • Sung Hong

Abstract

The problem of describing the distribution functions of tsunami wave heights is discussed. Data on runup heights obtained in field surveys of several tsunamis for the last decade are used to calculate the empirical distribution functions. It is shown that the log-normal distribution describes the observed data well. This means that the irregular topography and coastline are major factors which influence the height distribution. The power distribution related with the geometric decay of the propagated wave is a good approximation for one event (Sulawesi, January 1, 1996) only. Results of a numerical simulation of the tsunami event in the Japan (East) Sea on July 12, 1993 are presented. It is shown that the computed wave height distribution, obtained by using the runup correction in the framework of nonlinear shallow-water theory, is in good agreement with the observed height distribution. Simulations are used to study the transformation of the distribution function on different distances from the source. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Byung Choi & Efim Pelinovsky & Igor Ryabov & Sung Hong, 2002. "Distribution Functions of Tsunami Wave Heights," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 25(1), pages 1-21, January.
    • Handle: RePEc:spr:nathaz:v:25:y:2002:i:1:p:1-21
    DOI: 10.1023/A:1013379705323
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    References listed on IDEAS

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    1. Efim Pelinovsky & Dede Yuliadi & Gegar Prasetya & Rahman Hidayat, 1997. "The 1996 Sulawesi Tsunami," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 16(1), pages 29-38, July.
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    Cited by:

    1. Zhenhao Zhang & Changchun Luo & Zhenpeng Zhao, 2020. "Application of probabilistic method in maximum tsunami height prediction considering stochastic seabed topography," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 104(3), pages 2511-2530, December.
    2. Chae Lim & Jae Bae & Jong Lee & Sung Yoon, 2008. "Propagation characteristics of historical tsunamis that attacked the east coast of Korea," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 47(1), pages 95-118, October.
    3. Jin‐Feng Wang & Lian‐Fa Li, 2008. "Improving Tsunami Warning Systems with Remote Sensing and Geographical Information System Input," Risk Analysis, John Wiley & Sons, vol. 28(6), pages 1653-1668, December.

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