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Article . 1992
License: CC 0
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Journal of Geophysical Research Atmospheres
Article . 1992 . Peer-reviewed
License: Wiley Online Library User Agreement
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Variation of the Gutenberg‐Richter b values and nontrivial temporal correlations in a Spring‐Block Model for earthquakes

Authors: Christensen, Kim; Olami, Zeev;

Variation of the Gutenberg‐Richter b values and nontrivial temporal correlations in a Spring‐Block Model for earthquakes

Abstract

We show that a two‐dimensional spring‐block model for earthquakes is equivalent to a continuous, nonconservative cellular automaton model. The level of conservation is a function of the relevant elastic parameters describing the model. The model exhibits power law distributions for the energy released during an earthquake. The corresponding exponent is not universal. It is a function of the level of conservation. Thus the observed variation in the b value in the Gutenberg‐Richter law could be explained by a variation in the elastic parameters. We address the problem of the boundary conditions and display results for two extreme possibilities. Furthermore, we discuss the correlation in the interoccurrence time of earthquakes. The model exhibits the features of real earthquakes: the occurrence of small earthquakes is random, while the larger earthquakes seem to be bunched. Primarily, the results of our work indicate that the dynamic of earthquakes is intimately related to the nonconservative nature of the model, which gives birth to both the change in the exponent and the correlations in interoccurrence time.

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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