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1 Department of Public Health, Department of Public Health, Faculty of Health and Medical Sciences, Københavns Universitet 2 Universidad de Zaragoza 3 Department of Public Health, Faculty of Health and Medical Sciences, Københavns Universitet 4 Universidad de Zaragoza 5 Department of Public Health, Faculty of Health and Medical Sciences, Københavns Universitet
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. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2003.
European Physical Journal B. Condensed Matter and Complex Systems, 2003, Vol 34, Issue 4, p. 489-494
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