Skip to main content

Part of the book series: Pageoph Topical Volumes ((PTV))

Abstract

In the aftermath of the 26 December, 2004 tsunami, several quantitative predictions of inundation for historic events were presented at international meetings differing substantially from the corresponding well-established paleotsunami measurements. These significant differences attracted press attention, reducing the credibility of all inundation modeling efforts. Without exception, the predictions were made using models that had not been benchmarked. Since an increasing number of nations are now developing tsunami mitigation plans, it is essential that all numerical models used in emergency planning be subjected to validation—the process of ensuring that the model accurately solves the parent equations of motion—and verification—the process of ensuring that the model represents geophysical reality. Here, we discuss analytical, laboratory, and field benchmark tests with which tsunami numerical models can be validated and verified. This is a continuous process; even proven models must be subjected to additional testing as new knowledge and data are acquired. To date, only a few existing numerical models have met current standards, and these models remain the only choice for use for real-world forecasts, whether short-term or long-term. Short-term forecasts involve data assimilation to improve forecast system robustness and this requires additional benchmarks, also discussed here. This painstaking process may appear onerous, but it is the only defensible methodology when human lives are at stake. Model standards and procedures as described here have been adopted for implementation in the U.S. tsunami forecasting system under development by the National Oceanic and Atmospheric Administration, they are being adopted by the Nuclear Regulatory Commission of the U.S. and by the appropriate subcommittees of the Intergovernmental Oceanographic Commission of UNESCO.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Associated Press (2005), New analysis boosts potential tsunami threat, December 7, 2005. http:// www.kgw.com/sharedcontent/APStories/stories/D8EBN7NO7.html.

    Google Scholar 

  • Bernard, E.N., Mofjeld, H.O., Titov, V., Synolakis, C.E., and González, F.I. (2006), Tsunami: Scientific frontiers, mitigation, forecasting, and policy implications, Philos. T. R. Soc. A 364, 1989–2007.

    Article  Google Scholar 

  • Borerro, J., Ortiz, M., Titov, V.V., and Synolakis, C.E. (1997), Field survey of Mexican tsunami, EOS Trans. Amer. Geophys. Un. 78(8), 85, 87-88 (Cover article).

    Article  Google Scholar 

  • Briggs, M.J., Synolakis, C.E., Harkins, G.S., and Green, D. (1995), Laboratory experiments of tsunami runup on a circular island, Pure Appl. Geophys. 144, 569–593.

    Article  Google Scholar 

  • Carrier, G.F. and Greenspan, H.P. (1958), Water waves of finite amplitude on a sloping beach, J. Fluid Mech. 17, 97–110.

    Article  Google Scholar 

  • Carrier, G.F., Wu, T.T., and Yeh, H. (2003), Tsunami runup and drawdown on a sloping beach, J. Fluid Mech. 475, 79–99.

    Article  Google Scholar 

  • Ethnos (2007), Predictions for earthquakes and tsunamis, http://www.ethnos.gr/article.asp?catid=11386& subid=2&pubid=139228.

    Google Scholar 

  • Goring, D.G. (1978), Tsunamis—the propagation of long waves onto a shelf W.M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, California. Report No. KH-R-38.

    Google Scholar 

  • Grilli, S.T., Svenden, I.A., and Subrayama, R. (1997), Breaking criterion and characteristics of solitary waves on a slope, J. Waterw. Port Coast. Ocean Eng. 123(2), 102–112.

    Article  Google Scholar 

  • Hall, J.V. and Watts, J.W. (1953), Laboratory investigation of the vertical rise of solitary waves on impermeable slopes, Tech. Memo. 33, Beach Erosion Board, U.S. Army Corps of Engineers, 14 pp.

    Google Scholar 

  • Hammack, J.L. (1972), Tsunamis—A model for their generation and propagation, W.M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, California, Report No. KH-R-28.

    Google Scholar 

  • Hokkaido Tsunami Survey Group (1993), Tsunami devastates Japanese coastal region, EOS Trans. Amer. Geophys. Un. 74(37), 417 and 432.

    Article  Google Scholar 

  • Kânoğlu, U. (1998), The runup of long waves around piecewise linear bathymetries, Ph.D. Thesis, University of Southern California, Los Angeles, California, 90089-2531, 273 pp.

    Google Scholar 

  • Kânoğlu, U. (2004), Nonlinear evolution and runup-rundown of long waves over a sloping beach, J. Fluid Mech. 513, 363–372.

    Article  Google Scholar 

  • Kânoğlu, U. and Synolakis, C.E. (1998), Long wave runup on piecewise linear topographies J. Fluid Mech. 374, 1–28.

    Article  Google Scholar 

  • Kânoğlu, U. and Synolakis, C. (2006), Initial value problem solution of nonlinear shallow water-wave equations, Phys. Rev. Lett. 97, 148501.

    Article  Google Scholar 

  • Keller, J.B. and Keller, H.B. (1964), Water wave runup on a beach, ONR Research Report NONR-3828(00), Department of the Navy, Washington DC, 40 pp.

    Google Scholar 

  • Li, Y. and Raichlen, F. (2000), Energy balance model for breaking solitary wave runup, J. Waterw. Port Coast. Ocean Eng. 129(2), 47–49.

    Article  Google Scholar 

  • Li, Y. and Raichlen, F. (2001), Solitary wave runup on plane slopes, J. Waterw. Port Coast. Ocean Eng. 127(1), 33–44.

    Article  Google Scholar 

  • Li, Y. and Raichlen, F. (2002), Non-breaking and breaking solitary runup, J. Fluid Mech. 456, 295–318.

    Article  Google Scholar 

  • Liu, P.L.-F., Cho, Y.-S., Briggs, M.J., Kânoğlu, U., and Synolakis, C.E. (1995), Runup of solitary waves on a circular island, J. Fluid Mech. 320, 259–285.

    Article  Google Scholar 

  • Liu, P.L.-F., Lynett, P., and Synolakis, C.E. (2003), Analytical solutions for forced long waves on a sloping beach, J. Fluid Mech. 478, 101–109.

    Article  Google Scholar 

  • Liu, P.L.-F., Wu, T.-R., Raichlen, F., Synolakis, C.E., and Borrero, J. (2005), Runup and rundown generated by three-dimensional sliding masses, J. Fluid Mech. 536, 107–144.

    Article  Google Scholar 

  • Liu, P.L.-F., Yeh, H., and Synolakis, C. (eds.), Advanced Numerical Models for Simulating Tsunami Waves and Runup, In Advances in Coastal and Ocean Engineering 10 (World Scientific, Singapore 2008).

    Google Scholar 

  • Mei, C. C., The Applied Dynamics of Ocean Surface Waves (Wiley, New York, NY 1983).

    Google Scholar 

  • National Science and Technology Council (2005), Tsunami Risk Reduction for the United States: A Framework for Action, A joint report of the subcommittee on Disaster Reduction and the United States Group on Earth Observations, 30 pp.

    Google Scholar 

  • New Scientist (2005), Heaving seabed triggered Asian tsunami, December 10, 2005. http://seattle-times.nwsource.com/html/localnews/2002668973_tsunami07m.html.

    Google Scholar 

  • Okada, Y. (1985), Surface deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am. 75, 1135–1154.

    Google Scholar 

  • Pedersen, G., A Lagrangian model applied to runup problems. In Advanced Numerical Models for Simulating Tsunami Waves and Runup (eds. Liu, P.L.-F., Yeh, H., and Synolakis, C.), In Advances in Coastal and Ocean Engineering 10 (World Scientific, Singapore 2008).

    Google Scholar 

  • Pedersen, G. and Gjevik, B. (1983), Runup of solitary waves, J. Fluid Mech. 135, 283–299.

    Article  Google Scholar 

  • Raichlen, F. and Synolakis, C.E. (2003), Runup from three-dimensional sliding masses, Proc. Long Waves Symposium, Thessaloniki, Greece (eds. M. Briggs, and Ch. Koutitas), pp. 247–256.

    Google Scholar 

  • Satake, K., Okal, E.A. and Borrero, J.C. (2007), Tsunami and its hazard in the Indian and Pacific Oceans: Introduction, Pure Appl. Geophys. 164(2–3), 249–259.

    Article  Google Scholar 

  • Shuto, N. (1973), Shoaling and deformation of nonlinear waves, Coastal Eng. Japan 16, 1–12.

    Google Scholar 

  • Synolakis, C.E. (1986), The Runup of Long Waves, Ph.D. Thesis, California Institute of Technology, Pasadena, California, 91125, 228 pp.

    Google Scholar 

  • Synolakis, C.E. (1987), The runup of solitary waves, J. Fluid Mech. 185, 523–545.

    Article  Google Scholar 

  • Synolakis, C.E. (1991), Green law and the evolution of solitary waves, Phys. Fluids A-Fluid Dynamics 3, 490–491.

    Article  Google Scholar 

  • Synolakis, C.E. and Skjelbreia, J.E. (1993), Evolution of maximum amplitude of solitary waves on plane beaches, J. Waterw. Port Coast. Ocean Eng. 119(3) 323–342.

    Article  Google Scholar 

  • Synolakis, C.E. and Okal, E.A. (2005), 1992-2002: Perspective on a decade of post-tsunami surveys, Adv. Nat. Technol. Hazards 23, 1–30.

    Article  Google Scholar 

  • Synolakis, C.E. and Bernard, E.N. (2006), Tsunami science before and after Boxing Day 2004, Phil. Trans. R. Soc. A 364(1845), 2231–2265.

    Article  Google Scholar 

  • Synolakis, C.E. and Kong, L. (2006), Runup measurements of the December 2004 Indian Ocean Tsunami, Earthq. Spectra 22(Suppl. 3), S67–S91.

    Article  Google Scholar 

  • Synolakis, C.E., Bernard, E.N., Titov, V.V., Kânoğlu, U., and González, F. (2007), Standards, criteria, and procedures for NOAA evaluation of tsunami numerical models. NOAA OAR Special Report, Contribution No 3053, NOAA/OAR/PMEL, Seattle, Washington, 55 pp.

    Google Scholar 

  • Tadepalli, S. and Synolakis, C.E. (1994), The runup of N-waves on sloping beaches, Proc. R. Soc. Lond. A. 445, 99–112.

    Article  Google Scholar 

  • Tadepalli, S. and Synolakis, C.E. (1996), Model for the leading waves of tsunamis, Phys. Rev. Lett. 77(10), 2141–2144.

    Article  Google Scholar 

  • Takahashi, T., Benchmark problem 4; the 1993 Okushiri tsunami—Data, conditions and phenomena. In Long-Wave Runup Models (eds. Yeh, H., Liu, P.L.-F., and Synolakis, C.E.) (World Scientific Publishing, Singapore 1996) pp 384–403.

    Google Scholar 

  • The Seattle Times (2005), Tsunami expers forecast raises a flag, December 7, 2005, http://seattle-times.nwsource.com/html/localnews/2002668973_tsunami07m.html.

    Google Scholar 

  • Titov, V.V. and Synolakis, C.E. (1995), Modeling of breaking and nonbreaking long-wave evolution and runup using VTCS-2, J. Waterw. Port Ocean Coast. Eng. 121(6), 308–316.

    Article  Google Scholar 

  • Titov, V.V. and González, F.I. (1997), Implementation and testing of the method of splitting tsunami (MOST), NOAA Technical Memorandum ERL-PMEL-112, PB98-122773, Pacific Marine Environmental Laboratory, Seattle, Washington, 11 pp.

    Google Scholar 

  • Titov, V.V. and Synolakis, C.E. (1997), Extreme inundation flows during the Hokkaido-Nansei-Oki tsunami, Geophys. Res. Lett. 24(11), 1315–1318.

    Article  Google Scholar 

  • Titov, V.V. and Synolakis, C.E. (1998), Numerical modeling of tidal wave runup, J. Waterw. Port Ocean Coast. Eng. 124(4), 157–171.

    Article  Google Scholar 

  • Titov, V.V., González, F.I., Bernard, E.N., Eble, M.C., Mofjeld, H.O., Newman, J.C., and Venturato, A.J. (2005), Real-time tsunami forecasting: Challenges and solutions Nature Hazard 35(1), 41–58.

    Google Scholar 

  • Tuck, E.O. and Hwang, L.S. (1972), Long-wave generation on a sloping beach, J. Fluid Mech. 51, 449–461.

    Article  Google Scholar 

  • Uslu, B., Borrero, J.C., Dengler, L.A., and Synolakis, C.E. (2007), Tsunami inundation at Crescent City, California generated by earthquakes along the Cascadia Subduction Zone, Geophys. Res. Lett. 34, L20601.

    Article  Google Scholar 

  • Wei, Y., Bernard, E.N., Tang, L., Weiss, R., Titov, V.V., Moore, C., Spillane, M., Hopkins, M., and Kânoğlu, U. (2008), Real-time experimental forecast of the Peruvian tsunami of August 2007 for U.S. coastlines, Geophys. Res. Lett 35, L04609.

    Article  Google Scholar 

  • Yeh, H., Liu, P.L.-F., Briggs, M., and Synolakis, C.E. (1994), Tsunami catastrophe in Babi Island, Nature 372, 6503–6508.

    Google Scholar 

  • Yeh, H., Liu, P.L.-F., and Synolakis, C.E. (eds.), Long-Wave Runup Models (World Scientific Publishing, Singapore 1996).

    Google Scholar 

  • Zelt, J.A. (1991), The runup of breaking and nonbreaking solitary waves, Coastal Eng. 125, 205–246.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Birkhäuser Verlag, Basel

About this chapter

Cite this chapter

Synolakis, C.E., Bernard, E.N., Titov, V.V., Kânoğlu, U., González, F.I. (2008). Validation and Verification of Tsunami Numerical Models. In: Cummins, P.R., Satake, K., Kong, L.S.L. (eds) Tsunami Science Four Years after the 2004 Indian Ocean Tsunami. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0057-6_11

Download citation

Publish with us

Policies and ethics