Abstract
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.
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Aizawa, Y., Tsugawa, S. (2014). Aftershock Cascade of the 3.11 Earthquake (2011) in Fukushima-Miyagi Area. In: Matrasulov, D., Stanley, H. (eds) Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8704-8_2
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DOI: https://doi.org/10.1007/978-94-017-8704-8_2
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