Analysis of temporal structures of seismic events on different scale levels

TL;DR

This paper models the scaling behavior of inter-event times in seismic activity across various regions and scales, revealing self-similarity and deviations at maximum energy levels, with Weibull distribution providing a good fit.

Contribution

It introduces a statistical model linking seismic inter-event times with scale-invariant properties and tests Weibull distribution against empirical data across different seismic regions.

Findings

Inter-event times follow a Weibull distribution across scales.

Self-similarity holds except at maximum energy levels.

Weibull parameters obey scaling laws consistent with Gutenberg-Richter law.

Abstract

A statistical model for describing the scaling of the distribution of inter-event times is described. By considering the diverse region seismicity (natural and induced) at different scale levels the self-similarity of the distribution has been determined. Significant deviations occur only in the area of maximum magnitude (maximum energy class). A comparison between the distribution of inter-event times at different scale levels and the most popular distributions of reliability theory has been carried out. The distribution of inter-event times for different scale levels is well approximated by the Weibull distribution. The Weibull distribution, with parameters which obey the scaling model and the Gutenberg-Richter law, have been tested.