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Bulletin of the Seismological Society of America; June 1983; v. 73; no. 3; p. 781-796
© 1983 Seismological Society of America
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Spatial attenuation of the Lg wave in the Central United States

JOHN J. DWYER, ROBERT B. HERRMANN and OTTO W. NUTTLI

SAINT LOUIS UNIVERSITY DEPARTMENT OF EARTH AND ATMOSPHERIC SCIENCES, SAINT LOUIS, MISSOURI 63103

Abstract

The spatial attenuation of the Lg wave in the Central United States is studied in the time domain in the frequency range of 1 to 10 Hz. Fitting Lg amplitudes according to the relation


Formula

{gamma} varies between 0.0007 ± 0.0001 km–1 at 1 Hz and 0.0029 ± 0.0005 km–1 at 10 Hz (standard errors given). Relating {gamma} to Qß by the relation


Formula

these results imply a frequency dependence for Qß given by


Formula

This result extends Singh's (1981) estimate of 0.1 to 0.3 for the exponent of frequency dependence for the frequency range to 0.5 to 2 Hz for coda waves observed in the Central United States.

Bandpassed microearthquake data were also used to estimate source spectrum shapes and seismic moments. Incorporating these results with those of Street et al. (1975), the seismic moment-magnitude scaling for the Central United States is found to be


Formula

for the magnitude range 1.8 less double equals mbLg less double equals 4.9.




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