Abstract
In this study we consider 75 ocean-bottom earthquakes that occurred during the 1923–2013 period. Based on the slip-distribution data from the Finite-Source Rupture Model Database (SRCMOD) and Okada formulas, the vector fields of co-seismic bottom deformations were calculated. It is shown that, as a rule, the horizontal components of the sloping bottom deformation make an additional and essential contribution to the water displacement and the potential energy of the water-surface elevation that is similar in shape to the bottom surface displacement (the tsunami energy). On the basis of the analyzed relationships between the bottom deformation amplitude, the displaced water volume, tsunami energy, and the earthquake moment magnitude the corresponding regression dependencies were constructed. It is shown that the fraction of the potential energy of an earthquake that is converted into a tsunami increases with the increasing moment magnitude, but even during catastrophic earthquakes it is less than 0.1% of the total earthquake energy.
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References
R. W. Alewine and T. H. Jordan, “Generalized inversion of earthquake static displacement fields,” Geophys. J. Royal Astron. Soc. 35, 357–380 (1973).
D. B. Jovanovich, “An inversion method for estimating the source parameters of seismic and aseismic events from static strain data,” Geophys. J. Astron. Soc. 43, 347–365 (1975).
V. M. Pavlov and A. A. Gusev, “On possibility of motion restoring in the deep earthquake source according to bulk wave field in Fraunhofer region,” Dokl. Akad. Nauk, 255, 828–834 (1980).
S. N. Ward and S. E. Barrientos, “An inversion for slip distribution and fault shape from geodetic observations of the 1983 Borah Peak, Idaho Earthquake,” J. Geophys. Res. 91, 4909–4919 (1986), DOI:10.1029/JB091iB05p04909.
C. Ji, D. J. Wald, and D. V. Helmberger, “Source description of the 1999 Hector Mine, California, earthquake; Part I: Wavelet domain inversion theory and resolution analysis,” Bull. Seism. Soc. Am. 92, 1192–1207 (2002).
C. Bassin, G. Laske, and G. Masters, Bassin, “The ñurrent limits of resolution for surface wave tomography in North America.”? EOS, Trans. Am. Geophys. Un. 81, F897 (2000).
T. Lay, Y. Yamazaki, C. J. Ammon, K. F. Cheung, and H. Kanamori, “The 2011 M(w) 9.0 off the Pacific coast of Tohoku Earthquake: Comparison of deep-water tsunami signals with finite-fault rupture model predictions,” Earth Planets Space 63, 797–801 (2011).
G. Shao, X. Li, C. Ji, and T. Maeda, “Focal mechanism and slip history of 2011 Mw 9.1 off the Pacific coast of Tohoku earthquake, constrained with teleseismic body and surface waves,” Earth Planets Space 63, 559–564 (2011).
Y. Yagi and Y. Fukahata, “Introduction of uncertainty of Green’s function into waveform inversion for seismic source processes,” Geophysical J. Int. 186, 711–720 (2011).
B. W. Levin and M. Nosov, Physics of Tsunamis (Dordrecht, 2009).
M. A. Nosov, “Tsunami waves of seismic origin: The modern state of knowledge,” Izv. Ross. Akad. Nauk. Fiz. Atmos. Okeana 50, 474–484 (2014).
N. P. Laverov, L. I. Lobkovsky, A. B. Rabinovich, E. A. Kulikov, B. W. Levin, I. V. Fine, and R. E. Thomson, “The Kuril tsumanis of November 15, 2006, and January 13, 2007: Two trans-Pacific events,” Dokl. Earth Sci. 426, 658–664 (2009).
M. A. Nosov, S. V. Kolesov, and B. W. Levin, “Contribution of horizontal deformation of the seafloor into tsunami generation near the coast of Japan on March 11, 2011,” Dokl. Earth Sci. 441, no. 1, 1537–1542 (2011).
A. V. Newman, G. Hayes, Y. Wei, and J. Convers, “The 25 October 2010 Mentawai tsunami earthquake, from real-time discriminants, finite-fault rupture, and tsunami excitation,” Geophys. Res. Lett. 38, L05302 (2011). DOI:10.1029/2010GL046498.
C. Poisson, R. Oliveros, and R. Pedreros, “Is there a best source model of the Sumatra 2004 earthquake for simulating the consecutive tsunami?” Geophys. J. Int. 185, 1365–1378 (2011).
D. C. Kim, K. O. Kim, E. N. Pelinovsky, I. Didenkulova, and B. H. Choi, “Three-dimensional tsunami runup simulation for the port Koborinai on the Sanriku coast of Japan,” J. Coastal Res., Spec. Issue, No. 65, 266–271 (2013).
M. A. Nosov, A. V. Bolshakova and S. V. Kolesov, “Displaced water volume, potential energy of initial elevation, and tsunami intensity: Analysis of recent tsunami events,” Pure Applied Geophys. 171, 3515–3525 (2014). DOI: 10:1007/s00024-013-0730-6.
A. V. Bolshakova and M. A. Nosov, “Parameters of tsunami source versus earthquake magnitude,” Pure Applied Geophys. 168, 2023–2031 (2011). DOI:10:1007/s00024-011-0285-3.
Y. Tanioka and K. Satake, “Tsunami generation by horizontal displacement of ocean bottom,” Geophys. Res. Lett. 23, 861–864 (1996).
Y. Okada, “Surface deformation due to shear and tensile faults in a half-space,” Bull. Seismol. Soc. Am. 75, 1135–1154 (1985).
M. A. Nosov and S. V. Kolesov, “Method of specification of the initial conditions for numerical tsunami modeling,” Mos. Univ. Phys. Bull. 64, 208–213 (2009). DOI: 10.3103/S0027134909020222
M. A. Nosov and S. V. Kolesov, “Optimal initial conditions for simulation of seismotectonic tsunamis,” Pure Appl. Geophys. 168, 1223–1237 (2011). DOI: 10.1007/s00024-010-0226-6.
A. V. Bernadskii and M. A. Nosov, “The role of bottom friction in models of nonbreaking tsunami wave runup on the shore,” Izv. Atmosph. Oceanic. Phys. 48, 427–431 (2012). DOI: 10.1134/S0001433812040032.
H. Kanamori and D. L. Anderson, “Theoretical basis of some empirical relations in seismology,” Bull. Seismol. Soc. Am. 65, 1073–1095 (1975).
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Original Russian Text © A.V. Bolshakova, M.A. Nosov, S.V. Kolesov, 2015, published in Vestnik Moskovskogo Universiteta. Fizika, 2015, No. 1, pp. 61–65.
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Bolshakova, A.V., Nosov, M.A. & Kolesov, S.V. The properties of co-seismic deformations of the ocean bottom as indicated by the slip-distribution data in tsunamigenic earthquake sources. Moscow Univ. Phys. 70, 62–67 (2015). https://doi.org/10.3103/S0027134915010038
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DOI: https://doi.org/10.3103/S0027134915010038