A tentative model for the explanation of Bath law using the order parameter of seismicity in natural time

作者：Konstantina A. Papadopoulou,Efthimios S. Skordas,Nicholas V. Sarlis

摘要：Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of B?th law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity of B?th law is studied in the Global Centroid Moment Tensor catalogue by using two different aftershock definitions. It is found that the mean of this difference, when considering all the pairs mainshock-largest aftershock, does not markedly differ from 1.2 and the corresponding distributions do not depend on the mainshock's magnitude threshold in a statistically significant manner. Finally, the analysis of the cumulative distribution functions provides evidence in favour of the proposed model.

发文机构：Section of Solid State Physics Solid Earth Physics Institute

关键词：解释模型地震活动定律时间自然序参量累积分布函数震级Bath law . Aftershocks .Order parameter .Natural time

分类号： P631.84[天文地球—地质矿产勘探][天文地球—地质学]P315.5[天文地球—地震学][天文地球—固体地球物理学][天文地球—地球物理学]