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28
JUN
Earthquake statistical properties: an explanation for the distribution of magnitude and for the existence of aftershocks
Par François Petrelis (LPENS, Paris)
Le 28 Juin 2022 à 11h00 - Salle de séminaires 5ème étage - LJP - Tour 32-33

Résumé

Earthquakes in nature follow several statistical properties. In particular, the distribution of energy released by an earthquake (Gutenberg-Richter's law) and the frequency of aftershocks after a large event (Omori's law) are both power-laws.

By studying several earthquake models, we show that these properties result from  the spatial distribution of the stress field. This field can be described as a random curve for one-dimensional models and a random surface for two-dimensional models. Using this analogy, a series of predictions is made that includes the Gutenberg-Richter law and, for two-dimensional models, the existence of aftershocks and their temporal distribution following Omori's law.