Estimation of Spectrum Decay Parameter χ and Stochastic Prediction of Strong Ground Motions in Southeastern Korea

한반도 남동부에서 부지효과를 고려한 스펙트럼 감쇠상수 χ 추정 및 강지진동의 추계학적 모사

  • 조남대 (서울대학교 대학원 지구환경과학부) ;
  • 박창업 (서울대학교 대학원 지구환경과학부)
  • Published : 2003.12.01


We estimated the spectrum decay parameter $\chi$ and the stress parameter ($\Delta$$\sigma$) in southeastern Korea. Especially, we propose a procedure to compute site-independent $\chi$$_{q}$ and dependent $\chi$$_{s}$ values, separately, This procedure is to use the coda normalization method for the computation of site independent Q or corresponding $\chi$$_{q}$ value as the first step followed by the next step, the computation of $\chi$$_{s}$ values for each site using the given $\chi$$_{q}$ value evaluated at the first step, For the estimation of stress parameter, we used seismic data monitored from three earthquakes occurred near Gyeongju in 1999 with the method of Jo and Baag, In addition, we simulated strong ground motion using the $\chi$ value and the stress parameter, In this case, we calculated the $\chi$ value with conventional method. The $\chi$ value of 0.016+0.000157R and the stress parameter of 92-bar was applied to the stochastic simulation, At last, we derived seismic attenuation equation using results of the stochastic prediction, and compared these results with some others reported previously.ported previously.


stress drop parameter;spectrum decay parameter $\chi$;site-dependent$\chi_s$;stochastic simulation method;seismic attenuation equation


  1. Atkinson, G., “Attenuation of strong ground notion in Canada from a random vibrations approach,” Bull. Seism. Soc. Am., Vol. 74, 1984, pp. 2629-2653.
  2. 김태경, “경상분지의 지진파 감쇠와 지진관측소 부지효과”, 경북대학교 석사학위논문, 2001.
  3. Frankel, A., McGarr, A., Bicknell, J., Mori, J., Seeber, L., and Cranswick, E., “Attenuation of high-frequency shear waves in the crust; measurements from New York state, South Africa, and southern California,” J. Geophys. Res., Vol. 95, 1990, pp. 17441-17447.
  4. Hanks, T. and Kanamori, H., “A moment magnitude scale,” J. Geophys. Res., Vol. 84, 1979, pp. 2348-2350.
  5. Boore, D., “Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra,” Bull. Seism. Soc. Am., Vol. 73, 1983, pp. 1865-1894.
  6. Hanks, T. and McGuire, R., “The character of high-frequency strong ground motion,” Bull. Seism. Soc. Am., Vol. 71, 1981, pp. 2071-2095.
  7. Junn, J.-G., Jo, N.-D., and Baag, C.-E., “Stochastic prediction of ground motions in southern Korea,” Geosciences Journal, Vol.6, No.3, 2002, pp. 203-214.
  8. 노명현, 이기화, “한반도 남동부 지역에서의 최대 지반 운동치의 추정(I): 스펙트럼 파라미터의 추정”, 지질학회지, 제30권, 1994, pp. 297-306.
  9. Aki, K., “Analysis of the seismic coda of local earthquakes as scattered waves,” J. Geophys. Res., Vol. 74, 1969, pp. 615-631.
  10. Saragoni, G. and Hart, G., “Simulation of artificial earthquakes,” Earthquake Eng. Str. Dyn., Vol. 2, 1974, pp. 249-267.
  11. 박동희, 이정모, 김성균, “한반도 동남부의 지진파 감쇠, 지진원 요소”, 한국지진공학회 논문집, 제4권, 제3호, 2000, pp. 99-106.
  12. 박동희, 이정모, 박창업, 김준경, “한반도 동남부의 강진동 모사와 감쇠식”, 지질학회지, 제37권, 제1호, 2001, pp. 21-30.
  13. Bracewell, R., The Fourier transform and its applications, McGraw Hill, 1965.
  14. 조남대, 박창업, “추계학적 모사법을 이용한 한반도 남부에서의 강지진동 연구“, 한국지진공학회집, 제5권, 제4호, 2001, pp. 17-26.
  15. Brune, J., “Tectonic stress and the spectra of seismic shear waves from earthquakes,” J. Geophys. Res., Vol. 75, 1970, pp. 997-5006

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