A new empirical formula to determine the earthquake magnitude from the amplitude in the coda-portion of S-wave is obtained. The formula has a form,
MC=
alog
A+
b·log
T+
c, where
A is the rms amplitude in the coda-portion of S-wave at the lapse time,
T, from the origin time of an earthquake. The coefficient,
a, is around 1.0 and the coefficients,
b and
c, depend on the observational site condition, in particular, characteristics of the seismometer. The formula is applicable to
A more than twice as large as the noise level and to
T more than 1.6 times as long as the S-wave travel time. The magnitude derived from the above formula, the coda magnitude, gives a close approximation to the magnitude determined by the Japan Meteorological Agency in the magnitude range from 1.3 to 4.6, when the seismometer of its natural frequency, either 1.0Hz or 4.5Hz, is used.
The coda magnitude has the advantage of covering a wide range of magnitude, because the amplitude in the coda-portion of S-wave can be used even when the maximum amplitude is out of scale. It also has a high reliability, because the coda magnitude is not largely affected by the characteristics of radiation at the source. Present method is very easy to carry out, especially when the digital data are available, as the coda magnitude can be determined by an easy calculation of rms amplitude.
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