A Spectral Analysis of the 21 May 1997, Jabalpur, India, Earthquake (Mw = 5.8) and Estimation of Ground Motion from Future Earthquakes in the Indian Shield Region

摘要

The Jabalpur earthquake (23.08 deg N, 80.06 deg E, H = 36 km) is the first event in the Indian Peninsular shield region to be well recorded by a newly installed, 10-station, broadband seismographic network. Using these data, we estimate Q of Lg wave in the Indian shield region as Q = 508f~(0.48) (1 <= f <= 20 Hz). The corrected source spectrum, with M_0 = 5.4 X 10~(24) dyne-cm (reported in the Harvard CMT catalog) and an #omega#~2-source model, requires a stress parameter, #DELTA##sigma#_p, of approx420 bar to explain high-frequency spectral level. The computed seismic energy from the records is 7.4 X 10~(20) erg, which yields an apparent stress and Brune stress drop of 62 and 270 bars, respectively. The analysis of the Jabalpur earthquake provides some elements for the estimation of ground motions during future earthquakes in the Indian shield region. Based on the results of the Jabalpur earthquake and on studies of tectonically similar region of eastern North America, we assume that (1) the sources follow an #omega#~2 model; (2) S waves dominate at R < 100 km, and Lg waves dominate at R >= 100 km; (3)Q(f) = 508f~(0.48); (4) the ground motion is a bandlimited, finite-duration, Gaussian white noise; and (5) the effective duration of the ground motion equals f_c~(-1) + 0.05R, where f_c is the corner frequency. We apply random vibration theory (RVT) to compute various measures of ground motion, such as A_(max) and V_(max). At near-source distances, the source finiteness is approximately taken into account. The attenuation curves for the source finiteness is approximately taken into account. The attenuation curves for 5.5 <= Mw <= 7 and for #DELTA##sigma#_p of 100-400 bar are presented. As expected, the predicted values (with #DELTA##sigma#_p approx 420 bar) agree reasonably well with the limited Jabalpur data. An A_(max) of approx 150 gal is predicted in the epicentral region of this earthquake. The predicted curves imply #DELTA##sigma#_p <= 100 bar for the Latur earthquake of 1993 (Mw = 6.1; H = 2.5 km) to explain A_(max) < 1 g and the reported isoseismal intensities in the epicentral region. For Koyna earthquake of 1967 (Mw 6.3), the inferred A_(max) and V_(max) from isoseismal intensities and the recorded strong motions at the Koyna dam site are in agreement with the prediction curves for #DELTA##sigma#_p apporx 100 bar. The RVT predictions seem reasonable but need validation from more strong-motion data, which is presently lacking.