Modelling fundamental waiting time distributions for earthquake sequences |
| |
Authors: | Kristin Jonsdottir Mattias Lindman Roland Roberts Bjrn Lund Reynir Bdvarsson |
| |
Institution: | aDepartment of Earth Sciences, Uppsala University, Villav. 16, 752 36 Uppsala, Sweden |
| |
Abstract: | The distribution of waiting times between time-neighbouring events for a time series obeying the Omori law is examined theoretically and numerically with the aim of understanding the characteristics of these distributions, how these characteristics change (e.g. scale) with the parameters of the Omori series, and thus how empirical waiting time data may be correctly interpreted. It is found that the waiting time distribution, for a single Omori aftershock sequence, consists in general of two power law segments followed by a rapid decay at larger waiting times. The analyses are illustrated using real data from the SIL network on Iceland. This data often shows characteristics predominantly consistent with the Omori law, but there are significant exceptions. We conclude that waiting time distributions and related statistical analysis has meaningful potential for the analysis of earthquake data sets, as a step towards developing physical models of the earthquake process. |
| |
Keywords: | Waiting time Waiting time distribution Time series analysis Omori law Stretching algorithm |
本文献已被 ScienceDirect 等数据库收录! |
|