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Phys. Rev. Lett. 65, 2266–2269 (1990)

Growth of fractal fault patterns

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A. Sornette, P. Davy, and D. Sornette
Laboratoire de Physique de la Matière Condensée, Faculté des Sciences, Parc Valrose, 06034 Nice CEDEX, France
Centre Armoricain d’Etude Structurale des Socles, Université de Rennes 1, 35042 Rennes CEDEX, France

Received 9 January 1990; published in the issue dated 29 October 1990

Experiments on the formation of faults in a laboratory model of the Earth’s crust are presented; they respect its vertical rheological stratification, a brittle layer on top of ductile layers. As a result of the competition between the different nature of the brittle and ductile-layer deformations, complex fractal patterns of faults are formed with fractal dimension 1.70±0.05 independent of the fault densities associated with different brittle-ductile coupling. We propose a kinematic formulation of the mechanical problem which suggests an analogy with previously studied fractal-growth problems.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.65.2266
DOI:
10.1103/PhysRevLett.65.2266
PACS:
62.20.Mk, 91.35.Gf, 91.45.-c, 91.60.Ba