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Relationship between displacement and velocity amplitudes of seismic waves from local earthquakes

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Abstract

Relationship between displacement and velocity amplitudes of seismic waves was examined with data at stations within 200 km from 142 local earthquakes in and near Japan. The expected value of the coefficient for the logarithmic velocity amplitude to the logarithmic displacement amplitude is 0.5 when a self-similar scaling model is assumed. Observed value of the coefficient is about 0.80.9. This value appears to be valid at least in the magnitude range from 3.0 to 6.5. Although a spectral model simulation suggested that apparent large contents of high-frequency components were required to explain the observed coefficient, no distinct deviation from the ω-square model was found in the observed spectral ratios from earthquakes of different sizes, for which the path effects were virtually excluded. By using an empirical Green’s function which would correct the effects of propagation and site amplification, it was shown that the apparent deviation from the self-similar scaling model was due to propagation effects.

References

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

  2. Aki, K., Scaling law of earthquake source time-function, Geophys. J. R. Astr. Soc., 31, 3–25, 1972.

  3. Aki, K. and P. G. Richards, Quantitative Seismology, 932 pp., W. H. Freeman and Company, New York, U.S.A., 1980.

  4. Atkinson, G. M. and D. M. Boore, Ground-motion relations for eastern North America, Bull. Seism. Soc. Am., 85, 17–30, 1995.

  5. Boore, D. M., Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra, Bull. Seism. Soc. Am., 73, 1865–1894, 1983.

  6. Brune, J. N., Tectonic stress and the spectra of seismic shear waves from earthquakes, J. Geophys. Res., 75, 4997–5009, 1970.

  7. 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.

  8. Gusev, A. A., Descriptive statistical model of earthquake source radiation and its application to an estimation of short-period strong motion, Geophys. J. R. Astr. Soc., 74, 787–808, 1983.

  9. Gutenberg, B., Amplitudes of surface waves and magnitude of shallow earthquakes, Bull. Seism. Soc. Am., 35, 3–12, 1945a.

  10. Gutenberg, B., Amplitudes of P, PP and magnitudes of shallow earthquakes, Bull. Seism. Soc. Am., 35, 57–69, 1945b.

  11. Gutenberg, B., Magnitude determination for deep-focus earthquakes, Bull. Seism. Soc. Am., 35, 117–130, 1945c.

  12. Haddon, R., Earthquake source spectra in eastern North America, Bull. Seism. Soc. Am., 86, 1300–1313, 1996.

  13. Irikura, K., Prediction of strong acceleration motion using empirical Green’s function, Proc. 7th Japan Earthquake Eng., 8, 37–42, 1986.

  14. Japan Meteorological Agency (Earthquake Disaster Prevention Section, Earthquake and Tsunami Observation Division, Seismological and Volcanological Department), Data processing of electromagnetic strong motion seismographs, Technical Correspondence of Seismological and Volcanological Department, No. 65, 35–58, 1989 (in Japanese).

  15. 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.

  16. 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).

  17. Kanamori, H., The Energy Release in great earthquakes, J. Geophys. Res., 82, 2981–2987, 1977.

  18. Kanbayashi, Y., Some problems underlying the empirical formulas for determining the magnitude of the shallow focus earthquake using the JMA 67 and 76 type seismographs, Quart. J. Seism., 55, 81–88, 1992 (in Japanese with English abstract).

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

  20. 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.

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

  22. Koyama, J., Earthquake source time-function from coherent and incoherent rupture, Tectonophys., 118, 227–242, 1985.

  23. Midorikawa, S., Preliminary analysis for attenuationofpeak ground velocity on stiff site, Proceedings of the International Workshop on Strong Motion Data Vol. 2, 39–48, 1993.

  24. 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.

  25. Richter, C. F., An instrumental magnitude scale, Bull. Seism. Soc. Am., 25, 1–32, 1935.

  26. 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).

  27. Utsu, T., Relationships between earthquake magnitude scales, Bull. Earthq. Res. Inst., Univ. Tokyo, 57, 465–497, 1982 (in Japanese with English abstract).

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

  29. 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).

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Correspondence to Akio Katsumata.

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Katsumata, A. Relationship between displacement and velocity amplitudes of seismic waves from local earthquakes. Earth Planet Sp 53, 347–355 (2001) doi:10.1186/BF03352391

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Keywords

  • Peak Ground Acceleration
  • Seismic Moment
  • Japan Meteorological Agency
  • Displacement Amplitude
  • Spectrum Model