TECHNICAL PAPERS
Feb 14, 2003

Inverse Algorithm for Tsunami Forecasts

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 129, Issue 2

Abstract

This paper describes a methodology to assess the severity of a tsunami in progress based on real-time water-level data near the source. The inverse method, which uses tsunami signals in water-level data to infer seismic source parameters, is extended to predict the tsunami waveforms away from the source. This study focuses on the Alaska-Aleutian source region and its potential threat to Hawaii. The algorithm divides the source region into 41 subfaults based on previous analyses of major tsunamigenic earthquakes from 1938 to 1986. For unit slip of the subfaults, a linear long-wave model generates a database of synthetic mareograms at 13 water-level stations near the source and at six strategic locations in the Pacific. Regression of recorded tsunami signals using the mareograms provides the slip distribution at the source and the expected waveforms near Hawaii. A jackknife resampling scheme provides the confidence interval bounds of the predictions. The algorithm along with the database is tested and verified using numerically simulated and actual water-level data of past tsunami events.

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References

Curtis, G. D. (1991). “Hawaii tsunami inundation/evacuation map project.” Report No. 91-237, Joint Institute for Marine and Atmospheric Research, Univ. of Hawaii, Honolulu.
Eble, M. C., and González, F. I.(1991). “Deep-ocean bottom pressure measurements in the northeast Pacific.” J. Atmos. Ocean. Technol., 8(2), 221–233.
Eble, M. C., et al. (1997). “The 10 June 1996 Andreanov Tsunami Database.” Technical memorandum ERL PMEL-64, Pacific Marine Environmental Laboratory, National Oceanic and Atmospheric Administration, Seattle.
Efron, B. (1982). “The jackknife, the bootstrap and other resampling plans.” Lecture notes series, Society of Industrial and Applied Mathematics, Philadelphia.
González, F. I., Mader, C. L., Eble, M. C., and Bernard, E. N.(1991). “The 1987–1988 Alaskan bight tsunamis: Deep ocean data and model comparisons.” Natural Hazards, 4(2&3), 119–139.
González, F. I., Milburn, H. M., Bernard, E. N., and Newman, J. C. (1998). “Deep-ocean assessment and reporting of tsunamis (DART): Brief overview and status report.” Proc., Int. Workshop on Tsunami Disaster Mitigation, Tokyo, 118–129.
Grantz, A., Plafker, G., and Kachadoorian, R. (1964). “Alaska’s Good Friday earthquake, March 22, 1964: A Preliminary Geologic Evaluation.” Circular No. 491, U.S. Geological Survey, Washington, D.C.
Johnson, J. M.(1999). “Heterogeneous coupling along Alaska-Aleutians as inferred from tsunami, seismic, and geodetic inversion.” Adv. Geophys., 39, 1–110.
Johnson, J. M., and Satake, K.(1994). “Rupture extent of the 1938 Alaskan earthquake as inferred from tsunami waveforms.” Geophys. Res. Lett., 21(8), 733–736.
Kajiura, K.(1970). “Tsunami source, energy and the directivity of wave radiation.” Bull. Earthquake Res. Inst., Univ. Tokyo, 48, 835–869.
Kanamori, H.(1977). “The energy release in great earthquake.” J. Geophys. Res., 82(20), 2981–2987.
Kowalik, Z., and Murty, T. S.(1993). “Numerical simulation of two-dimensional tsunami runup.” Marine Geodesy, 16(2), 87–100.
Liu, P. L.-F., Cho, Y.-S., Briggs, M. J., Kanoglu, U., and Synolakis, C. E.(1995). “Runup of solitary waves on a circular island.” J. Fluid Mech., 302, 259–285.
Loomis, H.(1965). “Spectral analysis of tsunami records from stations in the Hawaiian Islands.” Bull. Seismol. Soc. Am., 56(3), 697–713.
Mader, C. L., and Curtis, G. D.(1991). “Modeling Hilo, Hawaii tsunami inundation.” Science of Tsunami Hazards, 9(2), 85–94.
Mansinha, L., and Smylie, D.(1971). “The displacement fields of inclined faults.” Bull. Seismol. Soc. Am., 61(5), 1433–1440.
Menke, W. (1984). Geophysical data analysis: Discrete inverse theory, Academic Press, San Diego, Calif.
Okada, M.(1985). “Surface deformation due to shear and tensile faults in a half-space.” Bull. Seismol. Soc. Am., 75(4), 1135–1154.
Satake, K.(1987). “Inversion of tsunami waveforms for the estimation of a fault heterogeneity: Method and numerical experiments.” J. Phys. Earth, 35(3), 241–254.
Satake, K., and Kanamori, H.(1991). “Use of tsunami waveforms for earthquake source study.” Natural Hazards, 4(2&3), 193–208.
Satake, K., Okada, M., and Abe, K.(1988). “Tide gauge response to tsunamis: Measurements at 40 tide gauge stations in Japan.” J. Mar. Res., 46(3), 557–571.
Shuto, N., Suzuki, T., Hasegawa, K., and Inagaki, K.(1986). “A study of numerical technique on the tsunami propagation and run-up.” Science of Tsunami Hazards, 4(2), 111–124.
Smith, W. H. F., and Sandwell, D. T.(1997). “Global sea floor topography from satellite altimetry and ship depth soundings.” Science, 227(5334), 1956–1962.
Spaeth, M. G., and Berkman, S. C. (1967). “The tsunami of March 28, 1964, as recorded at tide stations.” Technical Bulletin No. 33, Coastal and Geodetic Survey, Environmental Science Services Administration, Rockville, Md.
Tichelaar, B. W., and Ruff, L. J.(1989). “How good are our best models? Jackknifing, bootstrapping, and earthquake depth.” EOS Transactions of the American Geological Union, 70(20), 593, 605–606.
Titov, V. V., Mofjeld, H. O., González, F. I., and Newman, J. C. (1999). “Offshore forecast of Hawaiian tsunamis generated in Alaskan-Aleutian subduction zone.” Technical memorandum ERL PMEL-114, Pacific Marine Environmental Laboratory, National Oceanic and Atmospheric Administration, Seattle.
Titov, V. V., and Synolakis, C. S.(1998). “Numerical modeling of tidal wave runup.” J. Waterw., Port, Coastal, Ocean Eng., 124(4), 157–171.
Whitmore, P. M., and Sokolowski, T. J.(1996). “Predicting tsunami amplitudes along the North American coast from tsunamis generated in the Northwest Pacific Ocean during tsunami warnings.” Science of Tsunami Hazards, 14(3), 147–166.
Wu, C. F. J.(1986). “Jackknife, bootstrap, and other resampling methods in regression analysis.” Ann. Stat., 14(4), 1261–1295.

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 129Issue 2March 2003
Pages: 60 - 69

History

Received: Mar 30, 2001
Accepted: Jul 29, 2002
Published online: Feb 14, 2003
Published in print: Mar 2003

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Authors

Affiliations

Yong Wei
Graduate Research Assistant, Dept. of Ocean and Resources Engineering, Univ. of Hawaii at Manoa, Honolulu, Hawaii 96822.
Kwok Fai Cheung
Professor, Dept. of Ocean and Resources Engineering, Univ. of Hawaii at Manoa, Honolulu, Hawaii 96822 (corresponding author).
George D. Curtis
Researcher, Joint Institute for Marine and Atmospheric Research, Univ. of Hawaii at Manoa, Honolulu, Hawaii 96822.
Charles S. McCreery
Director, Richard H. Hagemeyer Pacific Tsunami Warning Center, Ewa Beach, Hawaii 96706.

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