Skip to main content
  • Article
  • Published:

Magnitude determination of deep-focus earthquakes in and around Japan with regional velocity-amplitude data

Abstract

This paper proposes a new method to determine earthquake magnitude for small deep-focus earthquakes by using velocity-amplitude data. For deep-focus earthquakes, body-wave magnitude has been widely used, but it is difficult to directly apply the conventional methods to the data from short-period seismometers of regional networks. In the proposed method, moment magnitude is used to obtain the attenuation function for epicentral distance and focal depth, where the influence of inhomogeneous Q structure is incorporated. This effect is further reduced by introducing a correction term that is a function of distance from the trench axis to an observation station and focal depth. The attenuation function and correction term were estimated for the velocity amplitude data obtained by the network of the Japan Meteorological Agency. The velocity-amplitude magnitude we propose is in satisfactory agreement with the moment magnitude, and provides stable magnitude values for small earthquakes of deep to shallow focal depths seamlessly.

References

  • Aki, K., Scaling law of seismic spectrum, J. Geophys. Res., 72, 1217–1231, 1967.

    Article  Google Scholar 

  • Anderson, D. L. and R. S. Hart, Q of the Earth, J. Geophys. Res., 83, 5869–5882, 1978.

    Article  Google Scholar 

  • Anderson, D. L., A. Ben-Menahem, and C. B. Archambeau, Attenuation of seismic energy in the upper mantle, J. Geophys. Res., 70, 1441–1448, 1965.

    Article  Google Scholar 

  • Bowman, J. R., Body wave attenuation in the Tonga subduction zone, J. Geophys. Res., 93, 2125–2139, 1988.

    Article  Google Scholar 

  • Campbell, K. W., Empirical near-source attenuation relationships for horizontal and vertical components of peak ground acceleration, peak ground velocity, and pseudo-absolute acceleration response spectra, Seism. Res. Lett., 68, 154–179, 1997.

    Article  Google Scholar 

  • Choy, G. L. and V. F. Cormier, Direct measurement of the mantle attenuation operator from broadband P and S waveforms, J. Geophys. Res., 91, 7326–7342, 1986.

    Article  Google Scholar 

  • Duda, S. J., Travel times and body wave magnitude, PAGEOPH, 87, 13–37, 1971.

    Article  Google Scholar 

  • Dziewonski, A. M., T.-A. Chou, and J. H. Woodhouse, Determination of earthquake source parameters form waveform data for studies of global and regional seismicity, J. Geophys. Res., 86, 2825–2852, 1981.

    Article  Google Scholar 

  • Flanagan, M. P. and D. A. Wiens, Radial upper mantle attenuation structure of inactive back arc basins from differential shear wave measurements, J. Geophys. Res., 99, 15469–15485, 1994.

    Article  Google Scholar 

  • Fukuyama, E., M. Ishida, D. S. Dreger, and H. Kawai, Automated seismic moment tensor determination by using on-line broadband seismic waveforms, Zisin, II, 51, 149–156, 1998 (in Japanese with English abstract).

    Google Scholar 

  • Hashida, T., Three-dimensional seismic attenuation structure beneath the Japanese islands and its tectonic and thermal implications, Tectonophys., 159, 163–180, 1989.

    Article  Google Scholar 

  • Ichida, K. and F. Yoshimoto, Spline Functions and Their Applications, 220 pp., Kyoiku-shuppan, Tokyo, 1979 (in Japanese).

    Google Scholar 

  • Japan Meteorological Agency, The Seismological Bulletin of the Japan Meteorological Agency for January 1995, 106 pp., Tokyo, 1997.

  • Joyner, W. B. and D. M. Boore, Peak horizontal acceleration and velocity from strong motion records including records from the 1979 Imperial Valley, California, Earthquake, Bull. Seism. Soc. Am., 71, 2011–2038, 1981.

    Google Scholar 

  • Kakishita, T., I. Sasakawa, M. Kobayashi, A. Nagai, and N. Hamada, An examination of JMA formulas for determining magnitude using data obtained by the JMA-87 type electromagnetic strong motion seismograph, Zisin, II, 45, 263–277, 1992 (in Japanese with English abstract).

    Google Scholar 

  • Kanamori, H., The energy release in great earthquakes, J. Geophys. Res., 82, 2981–2987, 1977.

    Article  Google Scholar 

  • Kanbayashi, Y. and M. Ichikawa, A method for determining magnitude of shallow earthquakes occurring in and near Japan, Quart. J. Seism., 41, 57–61, 1977 (in Japanese with English abstract).

    Google Scholar 

  • Katsumata, A., Automatic designing of Bessel digital filters, Quart. J. Seism., 56, 17–34, 1993 (in Japanese).

    Google Scholar 

  • Katsumata, A., Comparison of magnitudes estimated by the Japan Meteorological Agency with moment magnitudes for intermediate and deep earthquakes, Bull. Seism. Soc. Am., 86, 832–842, 1996.

    Google Scholar 

  • Katsumata, A., Attenuation function of displacement amplitude for magnitude calculation, Pap. Meteorol. Geophys., 50, 1–14, 1999.

    Article  Google Scholar 

  • Katsumata, A., Seismic moment estimation of small earthquakes by waveform fitting, Pap. Meteorol. Geophys., 51, 1–15, 2000.

    Article  Google Scholar 

  • Kawakatsu, H., Automated near-realtime CMT inversion, Geophys. Res. Lett., 22, 2569–2572, 1995.

    Article  Google Scholar 

  • Kikuchi, M. and M. Ishida, Source retrieval for deep local earthquakes with broadband records, Bull. Seism. Soc. Am., 83, 1855–1870, 1993.

    Google Scholar 

  • Molas, G. L. and F. Yamazaki, Attenuation of earthquake ground motion in Japan including deep focus events, Bull. Seism. Soc. Am., 85, 1343–1358, 1995.

    Google Scholar 

  • Ordaz, M. and S. K. Singh, Source spectra and spectralattenuation of seismic waves from Mexican earthquakes, and evidence of amplification in the hill zone of Mexico city, Bull. Seism. Soc. Am., 82, 24–43, 1992.

    Google Scholar 

  • Sato, H. and M. C. Fehler, Seismic Wave Propagation and Scattering in the Heterogeneous Earth, 308 pp., Springer-Verlag New York, Inc., New York, 1997.

    Google Scholar 

  • Solov’yeva, O. N., Magnitude determination of deep-focus earthquakes, Izv., Acad. Sci. USSR, Phys. Solid Earth, 14, 16–21, 1978.

    Google Scholar 

  • Takeo, M., Near-field synthetic seismograms taking into account the effects of anelasticity—the effects of anelastic attenuation on seismograms caused by sedimentary layer—, Pap. Meteorol. Geophys., 36, 245–257, 1985 (in Japanese with English abstract).

    Article  Google Scholar 

  • Takeuchi, H., Magnitude determination of small shallow earthquakes with JMA electromagnetic seismograph Model 76, Quart. J. Seism., 47, 112–116, 1983 (in Japanese with English abstract).

    Google Scholar 

  • Taylor, S. R., B. P. Bonner, and G. Zandt, Attenuation and scattering of broadband P and S waves across North America, J. Geophys. Res., 91, 7309–7325, 1986.

    Article  Google Scholar 

  • Tsuboi, C., Determination of the Gutenberg-Richter’s magnitude of earthquakes occurring in and near Japan, Zisin, II, 7, 185–193, 1954 (in Japanese with English abstract).

    Google Scholar 

  • Umino, N. and A. Hasegawa, Three-dimensional QS structure in the northeastern Japan Arc, Zisin, II, 37, 217–228, 1984 (in Japanese with English abstract).

    Google Scholar 

  • Veith, K. F. and G. E. Clawson, Magnitude from short-period P-wave data, Bull. Seism. Soc. Am., 62, 435–452, 1972.

    Google Scholar 

  • Watanabe, H., Determination of earthquake magnitude at regional distance in and near Japan, Zisin, II, 24, 189–200, 1971 (in Japanese with English abstract).

    Google Scholar 

  • Yoshioka, K. and Y. Iio, Re-examination of magnitude’s formula for records of velocity seismograph with natural frequency of 1 Hz, Zisin, II, 41, 437–441, 1988 (in Japanese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Akio Katsumata.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Katsumata, A. Magnitude determination of deep-focus earthquakes in and around Japan with regional velocity-amplitude data. Earth Planet Sp 53, 333–346 (2001). https://doi.org/10.1186/BF03352390

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352390

Keywords