The seismic coda wave of local earthquakes are composed of back scattering waves owing to numerous randomly distributed heterogeneities in the earth's crust. On this view, in consideration of linear relation between the seismic moment and the local Richter magnitude, a formula of the coda magnitude Mc is derived by using seismic coda of any lapse time, measured from the earthquake origin time. Its simplified form may be cinsistent with the relation of the duration magnitude M approximately. We may regard Mc that describes the size of the seismic moment of the focus as a generalized form of M. Hence a possible way is proposed for the explanation of the physical background for the duration magnitude. In Danjiangkou and its nearby regions a quality factor of coda wave, a function of the medium and a expectancy relation between the seismic moment and the local Richter magnitude are attained by applying to the data from the Danjiang Station. At the same time, we found a formula of the duration magnitude and a simplified formula of the coda magniude for the station.
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严尊国,师蓉梅.地方震尾波震级的初步研究[J].地震工程学报,1983,5(4):1-11. Yan Zunguo, Shi Rongmei. PRELIMINARY RESEARCH OF LOCAL EARTHQUAKE CODA MAGNITUDE[J]. China Earthquake Engineering Journal,1983,5(4):1-11.