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Bulletin of the Seismological Society of America; December 1983; v. 73; no. 6A; p. 1835-1850
© 1983 Seismological Society of America
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Short-period Lg magnitudes: Instrument, attenuation, and source effects

ROBERT B. HERRMANN and ANDRZEJ KIJKO

DEPARTMENT OF EARTH AND ATMOSPHERIC SCIENCES SAINT LOUIS UNIVERSITY, 3507 LACLEDE AVENUE, SAINT LOUIS, MISSOURI 63103
INSTITUTE OF GEOPHYSICS POLISH ACADEMY OF SCIENCES, PASTEUR STREET NO. 3, 00973 WARSAW, Poland

Abstract

The applicaton of the Nutli (1973) definition of the mbLg magnitude to instruments and wave periods other than the short-period WWSSN seismograph is examined. The basic conclusion is that the Nuttli (1973) definition is applicable to a wider range of seismic instruments if the log10(A/T) term is replaced by log10A. For consistency and precision, the notation mbLg should be applied only to magnitudes based upon 1.0 Hz observations. The mbLg magnitude definition was constrained to be consistent with teleseismic P-wave mb estimates from four Central United States earthquakes. In general, for measurements made at a frequency f, the notation mLg(f) should be used, where


Formula

and r is the epicentral distance in kilometers, {gamma} is the coefficient of anelastic attenuation, and A is the reduced ground amplitude in microns. Given its stability when estimated from different instruments, the mLg(f) magnitude is an optimum choice for an easily applied, standard magnitude scale for use in regional seismic studies.




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