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Bulletin of the Seismological Society of America; December 1989; v. 79; no. 6; p. 1697-1717
© 1989 Seismological Society of America
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Analysis of near-source strong-motion recordings along the Mexican subduction zone

S. K. SINGH, M. ORDAZ, J. G. ANDERSON, M. RODRIGUEZ, R. QUAAS, E. MENA, M. OTTAVIANI and D. ALMORA

INSTITUTO DE INGENIERÍA UNAM, C.U., 04510 MEXICO, D.F.
INSTITUTO DE GEOFÍSICA UNAM, C.U., 04510 MEXICO, D.F.
SEISMOLOGY LAB MACKAY SCHOOL OF MINES UNIVERSITY OF NEVADARENO, RENO, NEVADA 89557
DIPARTIMENTO NO. 37 IDRAULICA. TRASPORTE E STRADE UNIVERSITA DEGLI STUDI DI ROMA, VIA EUDOSSIANA, 18, 00184 ROMA, Italy

Abstract

Near-source strong motions of 64 earthquakes (3 less double equals M less double equals 8.1; 10 less double equals R less double equals 54 km) recorded above the Mexican subduction zone are analyzed to study the scaling of peak horizontal acceleration, amax, and Fourier acceleration amplitude spectra, a(f), as a function of magnitude M. The amax data reduced to 16 km shows clear dependence on M for M less double equals 6. For M > 6, the existing data suggests that for such events amax does not depend on M. Observation points 16 km above the source are in the far field for earthquakes with M > 6 for the frequencies (>1 Hz) of interest here, so that for such events a(f) is easily explained in terms of Brune's source spectra modified by attenuation. The same spectra explain the amax data when Parseval's theorem is used to obtain arms and the expected amax is computed using random vibration theory (RVT). For larger earthquakes, we modify the point-source model to estimate Fourier amplitude spectra from finite sources, ignoring possible directivity effects. These spectra along with rupture duration Td is used to compute arms and to estimate amax by applying RVT. The character of the near-source recordings of 6 less double equals M less double equals 8.1 earthquakes in Mexico suggests that the assumption of stationarity over Td is reasonable. The results from the model show that beyond M {cong} 6, the dependence of amax on M decreases; for M > 7.5 amax becomes essentially independent of M. The amax and a(f) observed for M less double equals 6.5 may be interpreted in terms of this finite-source model with stress drops {Delta}{sigma} of 40 to 100 bars and an appropriate site attenuation parameter. From a possible M = 7.5 to 8 earthquake in the Guerrero gap the expected amax from the finite-source model in Acapulco, corresponding to {Delta}{sigma} = 100 bars and {kappa} = 0.023s, is roughly Formula g.




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