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Effects of magma-induced stress within a cellular automaton model of volcanism

Lookup NU author(s): Olivia Butters, Dr Graeme Sarson, Professor Paul BushbyORCiD



This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).


The cellular automaton model of Piegari, Di Maio, Scandone and Milano, J. Volc. Geoth. Res., 202, 22-28 (2011) is extended to include magma-induced stress (i.e. a local magma-related augmentation of the stress field). This constitutes a nonlinear coupling between the magma and stress fields considered by this model, which affects the statistical distributions of eruptions obtained. The extended model retains a power law relation between eruption size and frequency for most events, as expected from the self-organized criticality inspiring this model; but the power law now applies for a reduced range of size, and there are new peaks of relatively more frequent eruptions of intermediate and large size. The cumulative frequency of repose time between events remains well modelled by a stretched exponential function of repose time (approaching a pure exponential distribution only for the longest repose times), but the time scales of this behaviour are slightly longer, reflecting the increased preference for larger events. The eruptions are relatively more likely to have high volatile (water) content, so would generally be more explosive. The new model also naturally favours a central ‘axial’ transport conduit, as found in many volcano systems, but which otherwise must be artificially imposed within such models.

Publication metadata

Author(s): Butters OJ, Sarson GR, Bushby PJ

Publication type: Article

Publication status: Published

Journal: Journal of Volcanology and Geothermal Research

Year: 2017

Volume: 341

Pages: 94-103

Print publication date: 15/07/2017

Online publication date: 19/05/2017

Acceptance date: 17/05/2017

Date deposited: 18/05/2017

ISSN (print): 0377-0273

ISSN (electronic): 1872-6097

Publisher: Elsevier BV


DOI: 10.1016/j.jvolgeores.2017.05.018


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