Mass determination of moment magnitudes M w and establishing the relationship between M w and M L for moderate and small Kamchatka earthquakes

The average relationship is established between the basic magnitude for the Kamchatka regional catalog, M (L) , and modern moment magnitude M (w). The latter is firmly tied to the value of the source seismic moment M (0) which has a direct physical meaning. M (L) magnitude is not self-reliant but is obtained through the conversion of the traditional Fedotov's S-wave energy class, K (S1,2) (F68) . Installation of the digital seismographic network in Kamchatka in 2006-2010 permitted mass estimates of M (0) and M (w) to be obtained from the regional data. In this paper we outline a number of techniques to estimate M (0) for the Kamchatka earthquakes using the waveforms of regional stations, and then compare the obtained M (w) estimates with each other and with M (L) , based on several hundred earthquakes that took place in 2010-2014. On the average, for M (w) = 3.0-6.0, M (w) = M (L) -0.40; this relationship allows obtaining M (w) estimates (proxy-M (w)) for a large part of the regional earthquake catalog with M (L) = 3.4-6.4 (M (w) = 3.0-6.0).