A simple parameterization for tsunami run-up prediction

  • Latifatul Cholifah Physics Department, FMIPA, Universitas Negeri Surabaya
  • Tjipto Prastowo Research Center for Earth Science Studies, Physics Department, Universitas Negeri Surabaya
Keywords: Green’s law, refraction effect, shoaling, tsunami run-up prediction

Abstract

The linear shallow-water approximation is commonly used to describe tsunami propagation, where the wave is assumed as a long surface gravity wave. The evolution of wave height during its propagation from offshore to onshore is a classic problem. When arriving at a shoreline, the increased wave height causes severe destruction on infrastructures and fatalities. This problem has then been an important issue within the context of disaster risk reduction as it gives rise to the importance of tsunami run-up prediction. Using maximum run-up data from past events, we tested the applicability of the Green’s law based on shoaling only to calculate run-ups and found that the basic Green’s law was in doubt. Then, we examined energy density conservation involving refraction effect but no dissipation and derived a simple formula for parameterizing run-up height. Detailed descriptions on factors affecting run-ups, such as complex bathymetry and topography are not yet considered in the current study. The aim of this study is therefore to determine whether the modified Green’s law is applicable for tsunami run-up prediction using local water depths as external parameters and ray spacing widths in the normal direction of wave fronts related to refraction. The results are consistent with the measured run-ups, where approximately 70% of total points of observations confirm the modified Green’s law with a reasonable accuracy.

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References

Choi, B. H., Kaistrenko, V., Kim, K. O., Min, B. I., & Pelinovsky, E. (2011). Rapid forecasting of tsunami runup heights from 2-D numerical simulations. Natural Hazards and Earth System Science, 11, 707–714.

Synolakis, C. E. (1991). Green’s law and the evolution of solitary waves. Physics of Fluids, 3, 490–491.

Mori, N., Takahashi, T., Yasuda, T., & Yanagisawa, H. (2011). Survey of 2011 Tohoku earthquake tsunami inundation and run-up. Geophysical Research Letters, 38, L00G14.

Reymond, D., Okal, E. A., Hebert, H., & Bourdet, M. (2012). Rapid forecast of tsunami wave heights from a database of pre-computed simulations, and application during the 2011 Tohoku tsunami in French Polynesia. Geophysical Research Letters, 39, 1–6.

Goto, K., Fujima, K., Sugawara, D., Fujino, S., Imai, K., Tsudaka, R., Abe, T., & Haraguchi, T. (2013). Field measurements and numerical modeling for the run-up heights and inundation distances of the 2011 Tohoku-oki tsunami at Sendai plain, Japan. Earth, Planets Space, 64, 1247–1257.

Charvet, I., Eames, I., & Rossetto, T. (2013). New tsunami runup relationships based on long wave experiments. Ocean Modelling, 69, 79–92.

Chen, G. Y., Lin, C. H., & Liu, C. C. (2012). Quick evaluation of runup height and inundation area for early warning of tsunami. Journal of Earthquake and Tsunami, 6, 1250005-1–1250005-2.

Lin, J. H., Cheng, C. Y., Yu, J. L., Chen, Y. Y., & Chen, G. Y. (2014). Quick estimation of tsunami induced run-up on coastal area. Paper presented at The 34th Conference on Coastal Engineering, Seoul, South Korea. ISBN: 978-0-9896611-2-6.

WMO. (1998). Guide to wave analysis and forecasting (2nd ed.). Secretariat of the World Meteorological Organization (WMO)-702, Geneva, Switzerland, 58 & 81–82.

Hayashi, Y. (2010). Empirical relationship of tsunami height between offshore and coastal stations. Earth, Planets Space, 62, 269–275.

Fuchs, H. (2013). Solitary impulse wave run-up and overland flow (Unpublished doctoral dissertation). The Swiss Federal Institute of Technology (ETH), Zurich.

Hirata, K., Tanioka, Y., Satake, K., Yamaki, S., & Geist, E. L. (2004). The tsunami source area of the 2003 Tokachi-oki earthquake estimated from tsunami travel times and its relationship to the 1952 Tokachi-oki earthquake. Earth, Planets Space, 56, 367–372.

The US Government, National Geophysical Data Center (NGDC), National Oceanic and Atmospheric Administration (NOAA). (2017). Retrieved from http://www.ngdc.noaa.gov.
Published
2017-10-26
How to Cite
Cholifah, L., & Prastowo, T. (2017). A simple parameterization for tsunami run-up prediction. Journal of Science & Science Education, 1(2), 7-13. https://doi.org/https://doi.org/10.24246/josse.v1i2p7-13
Section
Articles

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