Articles | Volume 12, issue 5
Nat. Hazards Earth Syst. Sci., 12, 1463–1467, 2012
https://doi.org/10.5194/nhess-12-1463-2012

Special issue: Sea hazards

Nat. Hazards Earth Syst. Sci., 12, 1463–1467, 2012
https://doi.org/10.5194/nhess-12-1463-2012

Research article 16 May 2012

Research article | 16 May 2012

Comparable analysis of the distribution functions of runup heights of the 1896, 1933 and 2011 Japanese Tsunamis in the Sanriku area

B. H. Choi1, B. I. Min2, E. Pelinovsky3, Y. Tsuji4, and K. O. Kim5 B. H. Choi et al.
  • 1Department of Civil and Environmental Engineering, Sungkyunkwan University, Suwon, Korea
  • 2Nuclear Environment Safety Research Division, Korea Atomic Energy Research Institute, P.O. Box 105, Yuseong, Daejeon, 305-600, Korea
  • 3Department of Nonlinear Geophysical Processes, Institute of Applied Physics, Nizhny Novgorod, Russia
  • 4Earthquake Research Institute, Tokyo University, Tokyo, Japan
  • 5Korea Ocean Research & Development Institute, Ansan, Korea

Abstract. Data from a field survey of the 2011 Tohoku-oki tsunami in the Sanriku area of Japan is used to plot the distribution function of runup heights along the coast. It is shown that the distribution function can be approximated by a theoretical log-normal curve. The characteristics of the distribution functions of the 2011 event are compared with data from two previous catastrophic tsunamis (1896 and 1933) that occurred in almost the same region. The number of observations during the last tsunami is very large, which provides an opportunity to revise the conception of the distribution of tsunami wave heights and the relationship between statistical characteristics and the number of observed runup heights suggested by Kajiura (1983) based on a small amount of data on previous tsunamis. The distribution function of the 2011 event demonstrates the sensitivity to the number of measurements (many of them cannot be considered independent measurements) and can be used to determine the characteristic scale of the coast, which corresponds to the statistical independence of observed wave heights.

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