TL;DR
This paper presents a differential equation-based interpretation of the Omori law, modeling aftershock activity evolution and proposing a generalized form considering fault deactivation.
Contribution
It introduces a differential equation formulation of the Omori law and proposes a generalized version accounting for fault deactivation effects.
Findings
Differential equation form of Omori law derived
Generalized Omori law proposed
Model incorporates fault deactivation effects
Abstract
The known Omori law is presented in the form of differential equation that describes the evolution of the aftershock activity. This equation is derived hypothetically with taking into account deactivation of the faults in epicentral zone of the main shock. A generalization of the Omori law is proposed.
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