Abstract
AbstractA recent model predicting Omori’s law giving the number of aftershocks per unit time following an earthquake involves a differential equation analogous to the Friedmann equation of cosmology. The beforeshock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the Big Rip singularity, and the aftershock to a contracting universe. The analogy provides some physical intuition and Lagrangian and Hamiltonian formulations for Omori’s law and its generalizations.
Funder
Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference44 articles.
1. F.J. Omori, On the aftershocks of earthquakes. J. Coll. Sci. Imperial Univ. Tokyo 7, 111 (1894)
2. N. Lemarchand, J.-R. Grasso, Interactions between earthquakes and volcano activity. Geophys. Res. Lett. 34, L24303 (2007)
3. A. Schmid, J.-R. Grasso, Omori law for eruption foreshocks and aftershocks. J. Geophys. Res. 117, B07302 (2012)
4. T. Utsu, Y. Ogata, R.S. Matsu’ura, The centenary of the Omori formula for a decay law of aftershock activity. J. Phys. Earth 43, 1 (1995)
5. A.V. Guglielmi, Omori’s law: a note on the history of geophysics. Phys. Uspekhi 60, 319 (2017)
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