Aftershock Cascade of the 3.11 Earthquake (2011) in Fukushima-Miyagi Area

摘要

Details of the aftershock cascade in [35°-40°N, 140°-145°E] are reported from the viewpoint of three empirical laws; the Omori law, the Gutenberg-Richter law and the Weibull law for the interoccurrence times, and the universal relationship among those three empirical laws is theoretically derived under the quasi-stationary condition. The generalization of the Omori law enables us to derive the extrapolation formula of the GR law, and the multi-fractal relation confirmed universally in moving ensembles combines the magnitude distribution and the interoccurrence time distribution. Furthermore, the generalized Omori formula is interpreted in terms of the quasi-stationary interoccurrence time distribution.