Error diagrams and temporal correlations in a fracture model with characteristic and power-law distributed avalanches

Y. Moreno; M. Vázquez-Prada; A.F. Pacheco; J.B. Gómez; Miguel Vazquez-Prada Baillet

doi:10.1140/epjb/e2003-00248-6

Error diagrams and temporal correlations in a fracture model with characteristic and power-law distributed avalanches

Y. Moreno, M. Vázquez-Prada, A.F. Pacheco, J.B. Gómez, Miguel Vazquez-Prada Baillet

Department of Public Health

Abstract

Forecasting failure events is one of the most important problems in fracture mechanics and related sciences. In this paper, we use the Molchan scheme to investigate the error diagrams in a fracture model which has the notable advantage of displaying two completely different regimes according to the heterogeneity of the system. In one regime, a characteristic event is observed while for the second regime a power-law spectrum of avalanches is obtained reminiscent of self-organized criticality. We find that both regimes are different when predicting large avalanches and that, in the second regime, there are non-trivial temporal correlations associated to clustering of large events. Finally, we extend the discussion to seismology, where both kinds of avalanche size distributions can be seen.

Original language	English
Journal	European Physical Journal B. Condensed Matter and Complex Systems
Volume	34
Issue number	4
Pages (from-to)	489-494
Number of pages	6
ISSN	1434-6028
DOIs	https://doi.org/10.1140/epjb/e2003-00248-6
Publication status	Published - 1 Aug 2003

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Error diagrams and temporal correlations in a fracture model with characteristic and power-law distributed avalanches. / Moreno, Y.; Vázquez-Prada, M.; Pacheco, A.F. et al.

In: European Physical Journal B. Condensed Matter and Complex Systems, Vol. 34, No. 4, 01.08.2003, p. 489-494.

Research output: Contribution to journal › Journal article › Research › peer-review

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AU - Vazquez-Prada Baillet, Miguel

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Error diagrams and temporal correlations in a fracture model with characteristic and power-law distributed avalanches

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