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In this work the scaling of seismic moment (M 0 ) and radiated energy (E r ) is investigated for almost 800 earthquakes of the 2016–17 Amatrice-Norcia sequences in Italy, ranging in moment magnitude (M w ) from 2.5 to 6.5. The analysis of the M 0 -to-E r  scaling highlights a breaking of the source self-similarity, with higher stress drops for larger events. Our results show the limitation of using M 0 , and in turn M w , to capture the variability of the high frequency ground motion. Since the observed seismicity does not agree with the assumptions on stress drop in the definition of M w , we exploit the availability of both E r  and M 0  to modify the definition of M w  and introduce a rapid response magnitude (M r ), which accounts for the dynamic properties of rupture. The new M r  scale allows us to improve the prediction of the earthquake shaking potential, as shown by the reduction of the between-event residuals computed for the peak ground velocity. The procedure we propose is therefore a significant step towards a quick assessment of earthquakes damage potential and timely implementation of emergency plans.

A rapid response magnitude scale for timely assessment of the high frequency seismic radiation