Bath's law derived from the Gutenberg-Richter law and from aftershock properties

被引：139

作者：

Helmstetter, A ^{[1
]}

Sornette, D

机构：

[1] Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90095 USA

[2] Univ Calif Los Angeles, Dept Earth & Space Sci, Los Angeles, CA 90095 USA

[3] Univ Nice, CNRS, UMR 6622, Phys Mat Condensee Lab, F-06108 Nice, France

来源：

GEOPHYSICAL RESEARCH LETTERS | 2003年 / 30卷 / 20期

关键词：

D O I：

10.1029/2003GL018186

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

The empirical Bath's law states that the average difference in magnitude between a mainshock and its largest aftershock is 1.2, regardless of the mainshock magnitude. Following Vere-Jones' [1969] and Console et al. [2003], we show that the origin of Bath's law is to be found in the selection procedure used to define mainshocks and aftershocks rather than in any difference in the mechanisms controlling the magnitude of the mainshock and of the aftershocks. We use the ETAS model of seismicity, which provides a more realistic model of aftershocks, based on (i) a universal Gutenberg-Richter (GR) law for all earthquakes, and on (ii) the increase of the number of aftershocks with the mainshock magnitude. Using numerical simulations of the ETAS model, we show that this model is in good agreement with Bath's law in a certain range of the model parameters.

引用

页码：SDE11 / 1

页数：4