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AN AUTOMATON FOR FRACTAL PATTERNS OF FRAGMENTATION

Biomedical Sciences Research Institute Computer Science Research Institute Environmental Sciences Research Institute Nanotechnology & Advanced Materials Research Institute

STEACY, SJ and SAMMIS, CG (1991) AN AUTOMATON FOR FRACTAL PATTERNS OF FRAGMENTATION. NATURE, 353 (6341). pp. 250-252. [Journal article]

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Abstract

FRACTURES in the Earth's crust have a fractal structure over a wide range of length scales. A micromechanical model has been proposed 1 for the formation of fractal patterns of fragmentation in fault zones, based on the preferential fracture, at all length scales, of neighbours of a particle that have the same size as the particle itself. Here we explore this model in two and three dimensions using computer automata which implement these nearest-neighbour fracture rules. The automata produce random fractals which have capacity dimensions between 1.1 and 1.7 in two dimensions, and between 2.0 and 2.8 in three dimensions, the precise value depending on the packing geometry and the presence of long-range interactions imposed by uniform strain conditions. The fractal fragmentation patterns observed in natural systems tend to have dimensions between 2.5 and 2.7; we suggest that our model may permit an interpretation of these values in terms of the packing configuration (number of nearest neighbours) of the constituent particles.

Item Type:Journal article
Faculties and Schools:Faculty of Life and Health Sciences
Research Institutes and Groups:Environmental Sciences Research Institute
Environmental Sciences Research Institute > Geophysics
ID Code:151
Deposited By:Professor Sandy Steacy
Deposited On:08 Sep 2009 09:22
Last Modified:15 Jun 2011 11:10

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