Scaling Theory of Time-Frequency Distribution of Earthquakes

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  • 地震の時空間分布に関するスケーリング理論
  • ジシン ノ ジクウカン ブンプ ニ カンスル スケーリング リロン

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A new scaling theory is proposed to predict the'b-value'observed in frequency-magnitude distribution of earthquakes. The present model shows that the seismic moment released in small shallow earthquakes scale differently with rupture length that it does for large events, where the crossover between small shallow and large events is defined at a rupture dimension equal to the down-dip width of the seismological zone. Bases on the complete catalog recorded between 1900 and 1989 for the magnitude M larger than 7.0, it was found that the frequency-size distribution yields an average-value that changes from b1=1.04±0.03 for 7.0<M<7.5 to b2=1.51±0.08 for 7.6<M<8.0. The theoretically predicted b-values, namely, b1=21/20=1.05 and b2=3/2=1.5, agree well with the observed values.

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