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Finite element modeling of the July 12, 1993 Hokkaido Nansei-Oki tsunami

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Abstract

A fault plane model and a finite element hydrodynamic model are applied to the simulation of the Hokkaido Nansei-Oki tsunami of July 12, 1993. The joint performance of the models is assessed based on the overall ability to reproduce observed tsunami waveforms and to preserve mass and energy during tsunami propagation. While a number of observed characteristics of the waveforms are satisfactorily reproduced (in particular, amplitudes and arrival times at tidal gauges relatively close to the source, and general patterns of energy concentration), others are only marginally so (notably, wave periods at the same gauges, and wave heights along Okushiri); differences between observations and simulations are traceable to both the fault plane and the hydrodynamic models. Nonnegligible losses of energy occur throughout the simulated tsunami propagation. These losses seem to be due to a combination of factors, including numerical damping and possible deficiencies of the shallow water equations in preserving energy.

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References

  • Baptista, A. M., Priest, G. R., Tanioka, Y., andMyers, E. P. (1993),A Post-tsunami Survey of the 1993 Hokkaido Tsunami, EOS Transactions74 (43), 349.

    Google Scholar 

  • Geller, R. J. (1976),Scaling Relations for Earthquake Source Parameters and Magnitudes, Bull. Seismol. Soc. Am.66 (5), 1501–1523.

    Google Scholar 

  • Grenier, R. R., Luettich, R. A., andWesterink, J. J. (1994),Comparison of 2D and 3D Models for Computing Shallow Water Tides in a Friction-dominated Tidal Embayment, Proceedings of the 3rd International Conference on Estuarine and Coastal Modeling, American Society of Civil Engineers, 58–70.

  • Hokkaido Tsunami Survey Group (1993),Tsunami Devastates Japanese Coastal Region, EOS Transactions, AGU74 (37), 417.

    Google Scholar 

  • Imamura, F. (1993),personal communication.

  • Kajiura, K. (1981),Tsunami Energy in Relation to Parameters of the Earthquake Fault Model, Bull. Earthq. Res. Inst.56, 415–440.

    Google Scholar 

  • Kinmark, I. P. E., andGray, W. G. (1984),Am Implicit Wave Equation Model for the Shallow Water Equations, Adv. Water Resources7, 2–14.

    Google Scholar 

  • Kolar, R. L., Westerink, J. J., Cantekin, M. E., andBlain, C. A. (1994),Aspects of Nonlinear Simulations Using Shallow Water Models Based on the Wave Continuity Equation, Comp. Fluids23 (3), 523–538.

    Google Scholar 

  • Kumaki, Y., Kisanuki, J., Ohtani, T., Ono, Y., andKajikawa, S. (1993),Vertical Seismic Crustal Movement of the 1993 Hokkaido-Nansei-Oki Earthquake Based on Coastal Landform Changes in the Okushiri Island, West of Hokkaido, Japan, Meeting of the Seismological Society of JapanA63, 63 (in Japanese).

    Google Scholar 

  • Luettich, R. A., Westerink, J. J., andScheffner, N. W. (1991),An Advanced Three-dimensional Circulation Model for Shelves, Coasts, and Estuaries, Dept. of the Army, U.S. Army Corps of Engineers, Washington, D.C.

    Google Scholar 

  • Lynch, D. R., andGray, W. G. (1979),A Wave Equation Model for Finite Element Tidal Computations, Comp. Fluids7 (3), 207–228.

    Google Scholar 

  • Mader, C. L.,Numerical Modeling of Water Waves (University of California Press, 1988).

  • Myers, E. P. (1994),Numerical Modeling of Tsunamis with Applications to the Sea of Japan and the Pacific Northwest, M.Sc. Thesis, Department of Environmental Science and Engineering, Oregon Graduate Institute of Science and Technology, Portland, OR, U.S.A.

    Google Scholar 

  • Okada, Y. (1985),Surface Deformation due to Shear and Tensile Faults in a Half-space, Bull. Seismol. Soc. Am.75, (4), 1135–1154.

    Google Scholar 

  • Satake, K., Okada, M., andAbe, K., (1988),Tide Gauge Response to Tsunamis: Measurements at 40 Tide Gauge Stations in Japan, J. Mar. Res.46, 557–571.

    Google Scholar 

  • Satake, K. (1994),personal communication.

  • Tolman, H. L. (1992),An Evaluation of Expressions for Wave Energy Dissipation due to Bottom Friction in the Presence of Currents, Coastal Engin.16, 165–179.

    Google Scholar 

  • Turner, P. J., andBaptista, A. M. (1991),ACE/Gredit Users Manual: Software for Semi-automatic Generation of Two-dimensional Finite Element Grids, CCALMR Software Report SDS2(91-2), Oregon Graduate Institute of Science and Technology, Portland, OR, U.S.A.

    Google Scholar 

  • Westerink, J. J., Luettich, R. Z., Baptista, A. M., Scheffner, N. W., andFarrar, P. (1992),Tide and Storm Surge Predictions Using a Finite Element Model, ASCE J. Hydraulic Eng.118 (10), 1373–1390.

    Google Scholar 

  • Yeh, H., Liu, P., andSynolakis, C. (1995),Benchmark Problems for the International Workshop on Long-Wave Runup Models (unpublished).

Download references

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Myers, E.P., Baptista, A.M. Finite element modeling of the July 12, 1993 Hokkaido Nansei-Oki tsunami. PAGEOPH 144, 769–801 (1995). https://doi.org/10.1007/BF00874394

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  • DOI: https://doi.org/10.1007/BF00874394

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