The power law decay of the aftershocks rate is observed only after a characteristic time scale c. The dependence of c on the mainshock magnitude MM and on the lower cut-off magnitude M(I) is well established. By considering ten sequences recorded in the California Catalog we show that the aftershock number distribution becomes independent of both M(M) and M(I) if time is rescaled by an appropriate time scale fixed by the difference M(M) - M(I). This result is interpreted within a more general dynamical scaling hypothesis recently formulated, relating time differences to magnitude differences. The above hypothesis gives predictions in good agreement with the recent findings by Peng et al. ( 2007). Citation: Lippiello, E., M. Bottiglieri, C. Godano, and L. de Arcangelis ( 2007), Dynamical scaling and generalized Omori law.
Dynamical scaling and generalized Omori law
LIPPIELLO, Eugenio;GODANO, Cataldo;DE ARCANGELIS, Lucilla
2007
Abstract
The power law decay of the aftershocks rate is observed only after a characteristic time scale c. The dependence of c on the mainshock magnitude MM and on the lower cut-off magnitude M(I) is well established. By considering ten sequences recorded in the California Catalog we show that the aftershock number distribution becomes independent of both M(M) and M(I) if time is rescaled by an appropriate time scale fixed by the difference M(M) - M(I). This result is interpreted within a more general dynamical scaling hypothesis recently formulated, relating time differences to magnitude differences. The above hypothesis gives predictions in good agreement with the recent findings by Peng et al. ( 2007). Citation: Lippiello, E., M. Bottiglieri, C. Godano, and L. de Arcangelis ( 2007), Dynamical scaling and generalized Omori law.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
