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The free oscillations of the earth excited by three strongest earthquakes of the past decade according to deformation observations

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Abstract

Based on the deformation data provided by the Baksan laser interferometer-strainmeter measurements, the free oscillations of the Earth (FOE) excited by the three strongest earthquakes of the past decade are analyzed. These seismic events include the Great Sumatra-Andaman earthquake that occurred in 2004 in the Indian Ocean, the Mauli earthquake of 2010 in Chile, and the Great Tohoku earthquake of March 2011 in Japan. The frequency-time structure of the free oscillations is studied, and the pattern of interaction between the modes with close frequencies (cross-coupling effect) is explored. For each earthquake, the correspondence of the observed FOE modes to the model predictions by the PREM model is investigated. A reliable consistent shift towards the high frequency of the toroidal modes with angular degree l = 12–19 is revealed. The maximal energy density of the toroidal oscillations is concentrated in the upper mantle of the Earth. Therefore, the established effect corresponds to the higher velocity of the shear waves in the upper mantle than it is predicted by the PREM model.

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References

  • Aliaga, B., Yamamoto, M., and Mosquera, D.P., 27 February 2010 Chile Earthquake and Tsunami Event—Post-Event Assessment of PTWS Performance, IOC Tech. Ser., no. 92, Paris: UNESCO/IOC, 2011.

    Google Scholar 

  • Ammon, Ch. J., Chen, Ji, et al., Rupture process of the 2004 Sumatra-Andaman earthquake, Science, 2005, vol. 308, p. 1133–1139.

    Article  Google Scholar 

  • Ammon, Ch.J., Lay, Th., Kanamori, H., and Clevela, M., A rupture model of the 2011 off the Pacific coast of Tohoku Earthquake, Earth Planets Space, 2011, vol. 63, pp. 693–696.

    Article  Google Scholar 

  • Banerjee, P., Pollitz, E.E., and Bürgmann, R., The size and duration of the Sumatra-Andaman earthquake from far-field static offsets, Science, 2005, vol. 308, pp. 1769–1772.

    Article  Google Scholar 

  • Bárcena, A., Prado, A., López, L., and Samaniego, J., The Chilean Earthquake of 27 February 2010: An Overview, Santiago: United Nations, 2011, Publication LC/R.2160.

    Google Scholar 

  • Davis, J.P., Ishii, M., and Masters, G., An assessment of the accuracy of the GSN sensor response information, Seism. Res. Lett., 2005, vol. 76, pp. 678–683.

    Article  Google Scholar 

  • Deuss, A., Ritsema, J., and van Heijst, H., Splitting function measurements for Earth’s longest period normal modes using recent large earthquakes, Geophys. Rev. Lett., 2011, vol. 38, L04303.

    Article  Google Scholar 

  • Dziewonski, A.M. and Anderson, D.L., Preliminary reference Earth model, Phys. Earth Planet. Inter., 1981, vol. 25, pp. 297–356.

    Article  Google Scholar 

  • Gilbert, F. and Dziewonski, A.M., An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Philos. Trans. R. Soc. Lond. A, 1975, vol. 278, pp. 187–269.

    Article  Google Scholar 

  • de Groot-Hedlin, C.D., Estimation of the rupture length and velocity of the Great Sumatra earthquake of Dec 26, 2004 using hydroacoustic signals, Geophys. Res. Lett., 2005, vol. 32, L11303.

    Article  Google Scholar 

  • Gusev, A.V., Kozyreva, A.V., and Milyukov, V.K., Spectral least-squares-method algorithm for measuring geophysical signal parameters, Meas. Tech., 2002, vol. 45, no. 5, pp. 453–460.

    Article  Google Scholar 

  • Hafner, R. and Widmer-Schnidrig, R., Signature of 3-D density structure in spectra of the spheroidal free oscillation 0 S 2, Geophys. J. Int., 2013, vol. 192, pp. 285–294.

    Article  Google Scholar 

  • Heiner, H., Nader, M., Kurrle, D., Ferreira, A., Wassermann, J., and Schreiber, U., Observations of Earth’s toroidal free oscillations with a rotation sensor: the 2011 magnitude 9.0 Tohoku-Oki earthquake, Geophys. Rev. Lett., 2011, vol. 38, p. L21303.

    Google Scholar 

  • Hu, X.G., Liu, L.T., Kroner, C., and Sun, H.P., Observation of the seismic anisotropy effects on free oscillations below 4 mHz, J. Geophys. Res., 2009, vol. 114, B07301.

    Google Scholar 

  • Ishii, M., Shearer, P.M., Houston, H., and Vidale, J.E., Extent, duration and speed of the 2004 Sumatra-Andaman earthquake imaged by the H-net array, Nature, 2005, vol. 435, pp. 933–936.

    Google Scholar 

  • Kanamori, H., Lessons from the 2004 Sumatra-Andaman earthquake, Phil. Trans. R. Soc. A, 2006, vol. 364, pp. 1927–1945.

    Article  Google Scholar 

  • Lay, T., Kanamori, H., Ammon, Ch., et al., The Great Sumatra-Andaman earthquake of 26 December 2004, Science, 2005, vol. 308, pp. 1127–1133.

    Article  Google Scholar 

  • Masters, G., Park, J., and Gilbert, F., Observations of coupled spheroidal and toroidal modes, J. Geophys. Res., 1983, vol. 88, pp. 10285–10298.

    Article  Google Scholar 

  • Milyukov, V.K., Klyachko, B.S., Myasnikov, A.V., Striganov, P.S., Yanin, A.F., and Vlasov, A.N., A laser interferometer-deformograph for monitoring the crust movement, Instrum. Exp. Tech., 2005à, vol. 48, no. 6, pp. 780–795.

    Article  Google Scholar 

  • Milyukov, V.K., Observation of the fine structure of the fundamental spheroidal mode? 0 S 2, Izv., Phys. Solid Earth, 2005b, vol. 41, no. 4, pp. 267–272.

    Google Scholar 

  • Milyukov, V.K., Monitoring the state of magmatic structures of Elbrus volcano from the observations of lithospheric deformations, Vulkanol. Seismol., 2006, no. 1, pp. 3–15.

    Google Scholar 

  • Milyukov, V.K., Kopaev, A.V., Lagutkina, A.V., Mironov, A.P., and Myasnikov, A.V., Observations of crustal tide strains in the Elbrus area, Izv., Phys. Solid Earth, 2007, vol. 43, no. 11, pp. 922–930.

    Article  Google Scholar 

  • Milyukov, V.K., Kravchuk, V.K., Mironov, A.P., and Latynina, L.A., Deformation processes in the lithosphere related to the nonuniformity of the Earth’s rotation, Izv., Phys. Solid Earth, 2011, vol. 47, no. 3, pp. 246–258.

    Article  Google Scholar 

  • Ni, S., Kanamori, H., and Helmberger, D., Seismology: energy radiation from the Sumatra earthquake, Nature, 2005, vol. 434, p. 582.

    Article  Google Scholar 

  • Park, J., Synthetic seismograms from coupled free oscillations: the effects of lateral structure and rotation, J. Geophys. Res., 1986, vol. 91, pp. 6441–6464.

    Article  Google Scholar 

  • Park, J. and Yu, Y., Anisotropy and coupled free oscillations: simplified models and surface wave observations, Geophys. J. Int., 1992, vol. 110, pp. 401–420.

    Article  Google Scholar 

  • Park, J., Mex Song T.-R., Tromp, J., et al., Earth’s free oscillations excited by the 26 December 2004 Sumatra-Andaman earthquake, Science, 2005, vol. 308, pp. 1139–1144.

    Article  Google Scholar 

  • Park, J., Amoruso, A., Crescentini, L., and Boschi, E., Long-period toroidal earth free oscillations from the great Sumatra-Andaman earthquake observed by paired laser extensometers in Gran Sasso, Italy, Geophys. J. Int., 2008, vol. 173, no. 3, pp. 887–905.

    Article  Google Scholar 

  • Rosat, S., Sato, T., Imanishi, Y., et al., High-resolution analysis of the gravest seismic normal modes after the 2004 Mw 9 Sumatra earthquake using superconducting gravimeter data, Geophys. Res. Lett., 2005, vol. 32, L13304.

    Article  Google Scholar 

  • Rosat, S., Watada, S., and Sato, T., Geographical variations of the 0 S 0 normal mode amplitude: predictions and observations after the Sumatra-Aandaman earthquake, Earth Planets Space, 2007, vol. 59, pp. 307–311.

    Article  Google Scholar 

  • Stein, S. and Okal, E., Speed and size of the Sumatra earthquake, Nature, 2005, vol. 434, pp. 581–582.

    Article  Google Scholar 

  • Tanimoto, T. and Ji, Ch., Afterslip of the 2010 Chilean earthquake, Geophys. Rev. Lett., 2010, vol. 37, L22312.

    Article  Google Scholar 

  • Xu, Ya., Crossley, D., and Herrmann, R., Amplitude and Q of 0 S 0 from the Sumatra earthquake as recorded on superconducting gravimeters and seismometers, Seismol. Res. Lett., 2008, vol. 79, no. 6, pp. 797–805.

    Article  Google Scholar 

  • Yu, Y. and Park, J., Upper mantle anisotropy and coupled-mode long-period surface waves, Geophys. J. Int., 1993, vol. 114, pp. 473–489.

    Article  Google Scholar 

Download references

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Correspondence to V. K. Milyukov.

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Original Russian Text © V.K. Milyukov, M.P. Vinogradov, A.P. Mironov, A.V. Myasnikov, N.A. Perelygin, 2015, published in Fizika Zemli, 2015, No. 2, pp. 21–36.

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Milyukov, V.K., Vinogradov, M.P., Mironov, A.P. et al. The free oscillations of the earth excited by three strongest earthquakes of the past decade according to deformation observations. Izv., Phys. Solid Earth 51, 176–190 (2015). https://doi.org/10.1134/S1069351315010097

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  • DOI: https://doi.org/10.1134/S1069351315010097

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