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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
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varies between 0.0007 ± 0.0001 km1 at 1 Hz and 0.0029 ± 0.0005 km1 at 10 Hz (standard errors given). Relating
to Qß by the relation
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these results imply a frequency dependence for Qß given by
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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
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for the magnitude range 1.8
mbLg
4.9.
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