Using the moment-magnitude relation (with in )

PHYSICS · Subjective · Fermi University Physics · Earth, Climate & Energy Physics · Seismology, tectonics and geodynamics · Seismology, tectonics and geodynamics

The Solid Earth, Ch Faults, the earthquake cycle and seismic hazard

Problem

Using the moment-magnitude relation Mw=23(log⁡10M0−9.1)M_w = \tfrac23(\log_{10}M_0 - 9.1) (with M0M_0 in N m\mathrm{N\,m}), find how many earthquakes of Mw=5.0M_w = 5.0 release, in total, the same seismic moment as a single earthquake of Mw=7.5M_w = 7.5.

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