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Inversion of the high-frequency source radiation of M6.8 Avachinsky Gulf, Kamchatka, earthquake using empirical and theoretical envelope Green functions

Abstract

We study the generation of high-frequency S-wave energy from its source of the 1992 Avachinsky Gulf, Kamchatka, earthquake (M W = 6.8) by means of the envelope inversion method of Nakahara et al. (1998). Two versions of this technique were employed, the original version and the modified version. In the modified version, to construct the “envelope Green function” we use empirical envelope shapes, constructed by averaging data of small earthquakes from the same area, calibrated to the total energy of the theoretical envelopes. The envelope inversion procedure was applied to six mainshock records, producing estimates of spatial distribution of energy radiation in frequency bands: 1–2, 2–4, 4–8 and 8–16 Hz. In both inversions, the distribution of energy radiation shows a similar pattern: 75–90 percent of the energy was radiated soon after nucleation. Afterwards, the rupture propagated mostly in a westward direction. Similarity of both results demonstrates the robustness of the envelope inversion method. However the version of the inversion procedure that uses empirical envelopes yields more plausible characteristics of the rupture process.

References

  • Abubakirov, I. R. and A. A. Gusev, Estimation of scattering properties of lithosphere of Kamchatka based on Monte-Carlo simulation of record envelope of a near earthquake, Phys. Earth. Planet. Inter., 64, 52–67, 1990.

    Article  Google Scholar 

  • Gusev, A. A. and V. M. Pavlov, Deconvolution of squared velocity waveform as applied to the study of a noncoherent short period radiator in the earthquake source, Pure Appl. Geophys., 136, 235–244, 1991.

    Article  Google Scholar 

  • Gutenberg, B. and C. F. Richter, Magnitude and energy of earthquakes, Ann. Geofis., 9, 1–15, 1956.

    Google Scholar 

  • Iida, M. and M. Hakuno, The difference in the complexities between the 1978 Miyagi-oki earthquake and the 1968 Tokachi-oki earthquake from a viewpoint of the short-period range, Natural Disaster Sci., 6, 1–26, 1984.

    Google Scholar 

  • Kakehi, Y., K. Irikura, and M. Hoshiba, Estimation of high-frequency wave radiation areas on the fault plane of the 1995 Hyogo-ken Nanbu Earthquake by the envelope inversion of acceleration seismograms, J. Phys. Earth, 44, 505–517, 1996.

    Article  Google Scholar 

  • Nakahara, H., High-frequency envelope inversion analysis of the 2003 Tokachi-oki earthquake (Mw8.0). Abstracts, 2004 Japan Earth and Planetary Science Joint Meeting, CD-ROM, S052–P005, 2004.

  • Nakahara, H., T. Nishimura, H. Sato, and M. Ohtake, Seismogram envelope inversion for the spatial distribution of high-frequency energy radiation from the earthquake fault: Application to the 1994 far east off Sanriku earthquake, Japan, J. Geophys. Res., 103(B1), 855–867, 1998.

    Article  Google Scholar 

  • Nakahara, H., H. Sato, M. Ohtake, and T. Nishimura, Spatial distribution of high-frequency energy radiation on the fault of the 1995 Hyogo-ken Nanbu, Japan, earthquake (MW6.9) on the basis of the seismogram envelope inversion, Bull. Seismol. Soc. Am., 89, 22–35, 1999.

    Google Scholar 

  • Nakahara, H. and R. Watanabe, Envelope inversion analysis of the 1999 Chi-Chi, Taiwan, earthquake for the spatial distribution of high-frequency seismic wave energy radiation on the fault plane, Eos Trans. AGU, 81(48), Fall Meet. Suppl., p. 881, 2000.

    Google Scholar 

  • Petukhin, A. G., A. A. Gusev, E. M. Guseva, E. I. Gordeev, and V. N. Chebrov, Preliminary model for scaling of Fourier spectra of strong ground motion recorded on Kamchatka, Pure Appl. Geophys., 156, 445–468, 1999.

    Article  Google Scholar 

  • Petukhin, A. G. and A. A. Gusev, The duration-distance relationship and average envelope shapes of small Kamchatka earthquakes, Pure Appl. Geophys., 160, 9, 1717–1743, 2003.

    Google Scholar 

  • Petukhin, A. G., A. A. Gusev, E. M. Guseva, E. I. Gordeev, and V. N. Chebrov, The first model for scaling of response spectra of strong ground motion recorded on Kamchatka, XXIII General Assembly of the International Union of Geodesy and Geophysics, Sapporo, Japan, 2003.

    Google Scholar 

  • Sato, H., H. Nakahara, and M. Ohtake, Synthesis of scattered energy density for the non-spherical radiation from a point shear dislocation source based on the radiative transfer theory, Phys. Earth Planet Inter., 104, 1–13, 1997.

    Article  Google Scholar 

  • Saito, T., H. Sato, and M. Ohtake, Envelope broadening of spherically outgoing waves in three-dimensional random media having power-law spectra, J. Geophys. Res., 107, B5, 2002.

    Google Scholar 

  • Zobin, V. M., E. I. Gordeev, V. I. Levina, V. F. Bakhtiarov, E. M. Guseva, D. V. Droznin, E. I. Ivanova, V. E. Levin, A. G. Petukhin, Yu.M. Khatkevich, and V. N. Chirkova, March 2, 1992, Earthquake (MLH=7.1) in the Gulf of Avacha, Kamchatka, and Associated Phenomena, Volc. Seis., 18, 687–702, 1997.

    Google Scholar 

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Correspondence to Anatoly G. Petukhin.

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Petukhin, A.G., Nakahara, H. & Gusev, A.A. Inversion of the high-frequency source radiation of M6.8 Avachinsky Gulf, Kamchatka, earthquake using empirical and theoretical envelope Green functions. Earth Planet Sp 56, 921–925 (2004). https://doi.org/10.1186/BF03352539

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  • DOI: https://doi.org/10.1186/BF03352539

Key words

  • Envelope source inversion
  • high-frequency source radiation
  • high-frequency scattering
  • Kamchatka