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Energy Decay of the 2004 Sumatra Tsunami in the World Ocean

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Abstract

The catastrophic Indian Ocean tsunami generated off the coast of Sumatra on 26 December 2004 was recorded by a large number of tide gauges throughout the World Ocean. This study uses gauge records from 173 sites to examine the characteristics and energy decay of the tsunami waves from this event in the Indian, Atlantic and Pacific oceans. Findings reveal that the decay (e-folding) time of the tsunami wave energy within a given oceanic basin is not uniform, as previously reported, but depends on the absorption characteristics of the shelf adjacent to the coastal observation site and the time for the waves to reach the site from the source region. In general, the decay times for island and open-ocean bottom stations are found to be shorter than for coastal mainland stations. Decay times for the 2004 Sumatra tsunami ranged from about 13 h for islands in the Indian Ocean to 40–45 h for mainland stations in the North Pacific.

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Notes

  1. Unfortunately, there was little effort to continue records longer than 1–2 days after the first tsunami arrival; in future, this problem should be taken into account.

  2. These numbers include only those records selected for the present study; the actual number of records described in these publications is much higher but many of the records were deemed not appropriate for examination of the energy decay for the reasons mentioned above.

  3. Filtering helps us to identify tsunami waves and to isolate them; at the same time it diminishes the actual wave heights and distorts the arrival waveforms (Emery and Thomson, 2003; Candella et al., 2008). To avoid such errors, we analyzed the filtered series in combination with the residual (de-tided) series.

  4. Candella et al. (2008) listed a few known historical tsunami records in the Atlantic Ocean but all of these records were relatively poor quality analog records.

  5. As was noted above, the sampling attenuation coefficients depend on properties of individual sites and are different for different stations; the mean coefficients give only approximate correction values.

  6. GLOSS is the Global Sea Level Observing System (http://www.gloss-sealevel.org/).

  7. An even larger maximum wave height of 123 cm was recorded at Imbituba located in the same region (Melo and Rocha, 2005; Candella et al., 2008); however, this was a “pen-and-paper” analog record which was difficult to analyze. Also, Candella et al. (2008) estimated that the actual tsunami wave height at La Paloma (Uruguay) was >1.5 m but the observed signal was strongly attenuated due to the 15-min sampling.

  8. DART = Deep-ocean assessment and reporting of tsunamis is the real-time open-ocean monitoring system developed by the Pacific Marine Environmental Laboratory, Seattle, WA (USA) for effective tsunami forecasting (http://nctr.pmel.noaa.gov/Dart/).

  9. ODP CORK = Ocean Drilling Program, Circulation Obviation Retrofit Kit is a long term seafloor observatory designed to record various geophysical and hydrophysical parameters in seabed boreholes.

  10. After this paper had originally been submitted, Modesto Ortiz (CICESE, Ensenada, Mexico) kindly sent us the entire December 2004 record for this station. The 2-min sampling interval of these data enabled us to estimate more precisely the parameters of tsunami waves at this site (Table 9). The maximum recorded wave height was 101.1 cm, very close to what we had anticipated.

  11. NeMO = New Millenium Observatory, a station with a precise BPR (the same as in DARTs), which was deployed near an active volcano located on the Juan de Fuca Ridge. The purpose of this station was to study the dynamic interactions between submarine volcanic activity and seafloor hotsprings.

References

  • Abe, K. (2006), Dominant periods of the 2004 Sumatra tsunami and the estimated source size, Earth Planets Space 58, 217–221.

  • Battjes, J.A. (1988), Surf-zone dynamics, Annual Rev. Fluid Mech. 20 , 257–293.

  • Candella, R.N., Rabinovich, A.B., and Thomson, R.E. (2008), The 2004 Sumatra tsunami as recorded on the Atlantic coast of South America, Advances in Geosciences 14 (1), 117–128.

  • Dragani, W.C., D’Onofrio, E.E., Grismeyer, W., and Fiore, M.E. (2006), Tide gauge observations of the Indian ocean tsunami, December 26, 2004, in Buenos Aires coastal waters, Argentina, Cont. Shelf Res. 26, 1543–1550.

  • Emery, W.J., and Thomson, R.E. (2003), Data Analysis Methods in Physical Oceanography, 2nd and revised edition, Elsevier, New York.

  • Fine, I.V., Rabinovich, A.B., and Thomson, R.E. (2005), The dual source region for the 2004 Sumatra tsunami, Geophys. Res. Lett. 32, L16602, doi:10.1029/2005GL023521.

  • França, C.A.S., and de Mesquita, A.R. (2007), The December 26th 2004 tsunami recorded along the southeastern coast of Brazil, Natural Hazards 40, 209–222.

  • Fujii, Y. and Satake, K. (2007), Tsunami source of the 2004 Sumatra-Andaman Earthquake inferred from tide gauge and satellite data, Bull. Seism. Soc. Amer. 97 (1A), S192–S207.

  • Goring, D. (2008), Extracting long waves from tide gauge records, J. Waterw. Port Coastal Ocean Engin., ASCE 134 (5), 306–312, doi:10.1061/(ASCE)0733-950X(2008) 134:5(306).

  • Gusiakov, V.K. (2009), Tsunami history: Recorded, In: The Sea, Vol.15, Tsunamis, A. Robinson, E. Bernard (Eds.), Harvard University Press, Cambridge, USA, 23–53.

  • Holman, R.A., Huntley, D.A., and Bowen, A.J. (1978), Infragravity waves in storm conditions, Proc. 16th Coastal Eng. Conf., Hamburg, 268–284.

  • Kovalev, P.D., Rabinovich, A.B., and Shevchenko, G.V. (1991), Investigation of long waves in the tsunami frequency band on the southwestern shelf of Kamchatka, Natural Hazards 4, 141–159.

  • Kowalik, Z., Knight W., Logan T., and Whitmore P. (2007), The tsunami of 26 December 2004: Numerical modeling and energy considerations, Pure Appl. Geophys. 164, 379–393.

  • Lay, T. et al. (2005), The Great Sumatra-Andaman earthquake of 26 December 2004, Science 308, 1127–1133.

  • Leonard, M. (2006), Analysis of tide gauge records from the December 2004 Indian Ocean tsunami, Geophys. Res. Lett. 33, L17602, doi:10.1029/2006GL026552.

  • Melo, E., and Rocha, C. (2005), Sumatra tsunami detected in Southern Brazil, Maritime Hydraulics Laboratory, Federal University of Santa Catarina, Brazil, Unpublished Report, http://www.pmel.noaa.gov/tsunami/sumatra20041226.html.

  • Merrifield, M.A., et al. (2005), Tide gage observations of the Indian Ocean tsunami, December 26, 2004, Geophys. Res. Lett. 32, L09603, doi:10.1029/2005GL022610.

  • Miller, G.R., Munk, W.H., and Snodgrass, F.E. (1962), Long-period waves over California’s continental borderland. Part II: Tsunamis, J. Mar. Res. 20, 31–41.

  • Mofjeld, H.O. (2009), Tsunami measurements, In: The Sea, Vol.15, Tsunamis, A. Robinson, E. Bernard (Eds.), Harvard University Press, Cambridge, USA, 201–235.

  • Munk, W.H. (1963), Some comments regarding diffusion and absorption of tsunamis, Proc. Tsunami Meet., X Pacific Science Congress, IUGG Monogr. 24, Paris, 53–72.

  • Murty, T.S., Nirupama, N., Nistor, I., and Rao, A.D. (2005), Leakage of the Indian Ocean tsunami energy into the Atlantic and Pacific Ocean, CSEG Recorder, December 2005, 33–36.

  • Nagarajan, B., Suresh, I., Sundar, D. Sharma, R., Lal, A.K., Neetu, S., Shenoi, S.S.C., Shetye, S.R., and Shankar, D. (2006), The great tsunami of 26 December 2004: A description based on tide-gauge data from the Indian subcontinent and surrounding areas, Earth Planets Space 58, 211–215.

  • Nakano, M., and Unoki, S. (1962), On the seiches (secondary undulations of tides) along the coast of Japan, Records Oceanogr. Works Japan Spec. No.6, 169–214.

  • Oh, I.S., and Rabinovich, A.B. (1994), Manifestation of Hokkaido Southwest (Okushiri) tsunami 12 July, 1993, at the coast of Korea, Sci. Tsunami Hazards 12, 93–116.

  • Pattiaratchi, C.B., and Wijeratne, E.M.S. (2009), Tide gauge observations of 2004-2007 Indian Ocean tsunamis from Sri Lanka and Western Australia, Pure Appl. Geophys. 166, 233–258.

  • Rabinovich, A.B. (2009), Seiches and harbour oscillations. In: Handbook of Coastal and Ocean Engineering (ed. Y.C. Kim), World Scientific, Singapore, 193–236.

  • Rabinovich, A.B., and Stephenson, F.E. (2004), Longwave measurements for the coast of British Columbia and improvements to the tsunami warning capability, Natural Hazards 32 (3), 313–343.

  • Rabinovich, A.B., and Thomson, R.E. (2007), The 26 December 2004 Sumatra tsunami: Analysis of tide gauge data from the World Ocean Part 1. Indian Ocean and South Africa, Pure Appl. Geophys. 164 (2/3), 261–308.

  • Rabinovich, A.B., Thomson, R.E., and Stephenson, F.E. (2006), The Sumatra tsunami of 26 December 2004 as observed in the North Pacific and North Atlantic Oceans, Surv. Geophys. 27, 647–677.

  • Rabinovich, A., Stroker, K., Thomson, R., and Davis, E. (2011), DARTs and CORK: High-resolution observations of the 2004 Sumatra tsunami in the abyssal northeast Pacific, Geophys. Res. Lett., L08502, doi:10.1029/2011GL047063.

  • Satake, K. (1988), Effects of bathymetry on tsunami propagation: Application of ray tracing to tsunamis, Pure Appl. Geophys. 126 (1), 27–36.

  • Satake, K., and Shimazaki, K. (1988), Free oscillations of the Japan Sea excited by earthquakes. II. Modal approach and synthetic tsunamis, Geohys. J. R. Astr. Soc., 93, 457–463.

  • Tanioka, Y., Yudhikara, Kususose, T., Kathiroli, S., Nishimura, Y., Iwasaki, S.-I., and Satake, K. (2006), Rupture process of the 2004 Great Sumatra-Andaman earthquake estimated from tsunami waveforms, Earth Planets Space 58, 203–209.

  • Thomson, R.E., Rabinovich, A.B., and Krassovski, M.V. (2007), Double jeopardy: Concurrent arrival of the 2004 Sumatra tsunami and storm-generated waves on the Atlantic coast of the United States and Canada, Geophys. Res. Lett. 34, L15607, doi:10.1029/2007GL030685.

  • Titov, V.V., Rabinovich, A.B., Mofjeld, H., Thomson, R.E., and González, F.I. (2005), The global reach of the 26 December 2004 Sumatra tsunami, Science 309, 2045–2048.

  • Van Dorn, W.G.. (1984), Some tsunami characteristics deducible from tide records, J. Phys. Oceanogr. 14, 353–363.

  • Van Dorn, W.G.. (1987), Tide gage response to tsunamis. Part II: Other oceans and smaller seas, J. Phys. Oceanogr. 17, 1507–1516.

  • Wilson, B. (1972), Seiches, Advances in Hydrosciences 8, 1–94.

  • Woodworth, P.L., Blackman, D.L., Foden, P., Holgate, S., Horsburgh, K., Knight, P.L., Smith, D.E., Macleod, E.A., and Bradshaw E. (2005), Evidence for the Indonesian tsunami in British tidal records, Weather 60 (9), 263–267.

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Acknowledgments

The data used in the present study were collected over more than 5 years. A great many institutions and individuals helped us search for the data. We gratefully acknowledge the following organizations for providing us with tide gauge records for the 2004 Sumatra tsunami: the University of Hawaii Sea Level Center (Honolulu, Hawaii, USA); the Pacific Tsunami Warning Center (Honolulu, Hawaii, USA); The West Coast and Alaska Tsunami Warning Center (Palmer, Alaska, USA); the National Tidal Centre and Australian Antarctic Division, Australian Bureau of Meteorology (Kent Town, South Australia); the Department of Transport––Government of Western Australia (Perth, WA); Maritime Safety Queensland, Department of Transport and Main Roads (Brisbane, Queensland, Australia); the National Institute of Water and Atmospheric Research (NIWA, Hamilton, New Zealand); the Center for Operational Oceanographic Products and Services (CO-OPS), National Ocean Service (NOS), the US National Atmospheric and Oceanic Administration, NOAA (Seattle, Washington, and Silver Spring, Maryland), the Canadian Hydrographic Service (Sidney, British Columbia and Halifax, Nova Scotia), the Permanent Service for Mean Sea Level (Liverpool, UK); the Hydrographic and Oceanographic Department, the Survey of India (Delhi), and the National Institute of Oceanography (Goa, India); the Japan Coast Guard (Tokyo); the Hydrographic Office of the Republic of South Africa (Tokai, RSA); the Servicio Hidrográfico y Oceanográfico de la Armada de Chile (SHOA, Valparaíso); the Departamento de Oceanografia, Universidade de São Paulo (Brazil); the Centro de Hidrografia da Marinha (Niteroi, Brazil); the Division Oceanografía Física (Montevideo, Uruguay); and the Departamento Oceanografía, Servicio de Hidrografía (Buenos Aires, Argentina). We also thank those people who helped us obtain, assemble and verify these data; our specific thanks to Mark Merrifield (Honolulu, HI), Ruth Farre (Tokai, South Africa), Bill Mitchell (Adelaide, Australia), Mike Davis (Kent Town, Australia), Philip Woodworth (Liverpool, UK), Paul Whitmore (Palmer, AK, USA), Stuart Weinstein (Honolulu, HI, USA), Fred Stephenson, Denny Sinnott and Neil Sutherland (Sidney, BC, Canada), John Fleming, Jorge Cruz Cristóbal and Claudia Valenzuela Cuevas (Valparaíso, Chile), Tatiana Ivelskaya (Yuzhno-Skhalinsk, Russia), Kelly Stroker (Boulder, CO, USA), Marie Eble (Seattle, WA, USA), Natalia Donoho (Silver Spring, Md, USA), Modesto Ortiz (Ensenada, Mexico), K.A. Abdul Rasheed (Kochi, India), Carlos França (São Paulo, Brazil), Walter Dragani (Buenos Aires, Argentina), Ernesto Forbes (Montevideo, Uruguay), and Rosuita Roso (Niteroi, Brazil). We are most grateful for the incredible help we received from Paul Davill (Kent Town, Western Australia), Daryl Metters (Brisbane, Queensland), Derek Goring (Christchurch, NZ), and Rob Bell (Hamilton, NZ) in locating and incorporating numerous Australian and New Zealand data. We also thank Vasily Titov (PMEL/NOAA, Seattle, USA) for making available results of his numerical model, Isaac Fine (IOS, Sidney, Canada) for fruitful discussions, Maxim Krassovski (IOS, Sidney, Canada) for helping us with maps and Patricia Kimber (Sidney, Canada) for drawing the figures.

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Rabinovich, A.B., Candella, R.N. & Thomson, R.E. Energy Decay of the 2004 Sumatra Tsunami in the World Ocean. Pure Appl. Geophys. 168, 1919–1950 (2011). https://doi.org/10.1007/s00024-011-0279-1

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