Stick-slip statistics for two fractal surfaces: a model for earthquakes

Chakrabarti, Bikas K. ; Stinchcombe, Robin B. (1999) Stick-slip statistics for two fractal surfaces: a model for earthquakes Physica A: Statistical Mechanics and Its Applications, 270 (1-2). pp. 27-34. ISSN 0378-4371

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03784...

Related URL: http://dx.doi.org/10.1016/S0378-4371(99)00146-6

Abstract

Following the observations of the self-similarity in various length scales in the roughness of the fractured solid surfaces, we propose here a new model for the earthquake. We demonstrate rigorously that the contact area distribution between two fractal surfaces follows a unique power law. This is then utilised to show that the elastic energy releases for slips between two rough fractal surfaces indeed follow a Guttenberg-Richter like power law.

Item Type:Article
Source:Copyright of this article belongs to European Physical Society.
Keywords:Fractured surfaces; Surface roughness; Self-similarity; Fractals; Cantor sets; Earthquakes
ID Code:5807
Deposited On:19 Oct 2010 10:53
Last Modified:20 May 2011 08:26

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