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Slip weakening and energy-moment scaling relationship

Senatorski P.

Acta Geophysica Polonica

2001

Vol. 49, nr 1

75-93

The ratio of radiated seismic energy and seismic moment estimated for global sets of earthquakes does not exhibit any systematic changes with seismic moment. In contrast, for regional sets of earthquakes the ratio decreases with decreasing moment. This paper proposes a statistical relationship among radiated energy, seismic moment, and source dimension: Ea M0(1.5) / r which is consistent with both kinds of data. The relation is explained by a fault zone model based on the slip-dependent constitutive law and the overdamped dynamics approximation. Since potential damages caused by an earthquake are related to the radiated seismic energy, the derived relation can help to estimate them if the expected earthquake source dimension and moment release are known.