Phenomenology of aftershocks: Once more on the Omori Law

TL;DR

This paper reviews the phenomenological understanding of aftershocks following earthquakes, focusing on the Omori Law, and summarizes recent theoretical and experimental advances in modeling aftershock behavior.

Contribution

It provides a synthesis of recent developments in the phenomenological theory of aftershocks, building on Omori's original formulation and incorporating new mathematical models.

Findings

Validation of logistic and nonlinear diffusion models for aftershock sequences

Enhanced understanding of earthquake source deactivation processes

Identification of phenomena like mirror triad and round-the-world echo

Abstract

Omori Law describes the evolution of the aftershocks of a strong earthquake. Established at the end of the century before last, it is characterized by the beauty of its form, quite definite clarity, as a result of which it still attracts considerable attention of the geophysical community. In recent years, we have accumulated considerable experience in studying the Omori law by theoretical and experimental methods. This paper summarizes the results of our study briefly. The main attention is focused on the phenomenological theory of aftershocks, the foundations of which were laid by Fusakichi Omori. Keywords: earthquake, source deactivation, logistic equation, nonlinear diffusion equation, Omori epoch, round-the-world echo, mirror triad.