The 150th Anniversary of Fusakichi Omori

TL;DR

This paper commemorates Fusakichi Omori, presenting a differential equation formulation of his law of aftershock evolution to account for non-stationary rock behavior post-earthquake.

Contribution

It introduces a differential equation model of Omori's law, enhancing understanding of aftershock dynamics by considering non-stationary geological conditions.

Findings

Differential equation form of Omori's law proposed

Accounts for non-stationarity of rocks after earthquakes

Provides a new mathematical framework for aftershock analysis

Abstract

This paper is devoted to the memory of the outstanding Japanese scientist. In 1896, Fusakichi Omori discovered the law of the aftershocks evolution that bears his name. We represent the Omori law in the form of a differential equation. This allows us to take into account the non-stationarity of rocks in the earthquake source, which "cools down" after the main shock.