by Lippiello E, Corral Alvaro, Bottiglieri Milena, Godano Cataldo, de Arcangelis Lucilla
Abstract:
We present a study of the earthquake intertime distribution D(Delta t) for a California catalog in temporal periods of short duration T. We compare experimental results with theoretical predictions and analytical approximate solutions. For the majority of intervals, rescaling intertimes by the average rate leads to collapse of the distributions D(Delta t) on a universal curve, whose functional form is well fitted by a Gamma distribution. The remaining intervals, exhibiting a more complex D(Delta t), are all characterized by the presence of large shocks. These results can be understood in terms of the relevance of the ratio between the characteristic time c in the Omori law and T : Intervals with Gamma-like behavior are indeed characterized by a vanishing c/T. The above features are also investigated by means of numerical simulations of the Epidemic Type Aftershock Sequence (ETAS) model. This study shows that collapse of D(Delta t) is also observed in numerical catalogs; however, the fit with a Gamma distribution is possible only assuming that c depends on the main-shock magnitude m. This result confirms that the dependence of c on m, previously observed form > 6 main shocks, extends also to smallm > 2. DOI: 10.1103/PhysRevE.86.066119
Reference:
Scaling behavior of the earthquake intertime distribution: Influence of large shocks and time scales in the Omori law (Lippiello E, Corral Alvaro, Bottiglieri Milena, Godano Cataldo, de Arcangelis Lucilla), In PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, volume 86, 2012. (Articolo in rivista)
Bibtex Entry:
@article{eug12,
author = {Lippiello E, and Corral Alvaro, and Bottiglieri Milena, and Godano Cataldo, and de Arcangelis Lucilla,},
pages = {066119-066119-10},
title = {Scaling behavior of the earthquake intertime distribution: Influence of large shocks and time scales in the Omori law},
volume = {86},
note = {Articolo in rivista},
issn = {1539-3755},
journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS},
doi = {10.1103/PhysRevE.86.066119},
year = {2012},
wosId = {WOS:000312839400002},
scopusId = {2-s2.0-84871904392},
abstract = {We present a study of the earthquake intertime distribution D(Delta t) for a California catalog in temporal periods of short duration T. We compare experimental results with theoretical predictions and analytical approximate solutions. For the majority of intervals, rescaling intertimes by the average rate leads to collapse of the distributions D(Delta t) on a universal curve, whose functional form is well fitted by a Gamma distribution. The remaining intervals, exhibiting a more complex D(Delta t), are all characterized by the presence of large shocks. These results can be understood in terms of the relevance of the ratio between the characteristic time c in the Omori law and T : Intervals with Gamma-like behavior are indeed characterized by a vanishing c/T. The above features are also investigated by means of numerical simulations of the Epidemic Type Aftershock Sequence (ETAS) model. This study shows that collapse of D(Delta t) is also observed in numerical catalogs; however, the fit with a Gamma distribution is possible only assuming that c depends on the main-shock magnitude m. This result confirms that the dependence of c on m, previously observed form > 6 main shocks, extends also to smallm > 2. DOI: 10.1103/PhysRevE.86.066119}
}