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Self-organized criticality in a block lattice model of the brittle crust
Institution:1. European Commission Joint Research Centre, Ispra, Italy;2. International Institute for Applied Systems Analysis, Laxenburg, Austria;1. Robotics Innovation Center, German Research Center for Artificial Intelligence (DFKI GmbH), Bremen 28359, Germany;2. Intelligente autonome Sensor- und Aktor-Systeme, Fachhochschule Dortmund, Dortmund 44139, Germany;3. Institute of Robotics, Johannes Kepler University, Linz 4040, Austria;4. Universität Bremen, Fachbereich Mathematik und Informatik, Arbeitsgruppe Robotik, Bremen 28359, Germany
Abstract:An earthquake model is introduced, in which the brittle crust is treated as a two-dimensional system of many blocks divided by faults, and the mechanical behavior of the faults is described by the Burridge-Knopoff stick-slip model. The coherent system naturally evolves into a self-organized critical state. Some universal scaling laws of seismicity, such as the Gutenberg-Richter law with the b value in agreement with the observational result and the fractal feature of fault patterns, are reproduced. Some ambiguity in simple cellular automata models is also solved.
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