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Mathematical and physical modelling of seismic faults (Poster Presentation)
Author(s) -
Diosdado A. Muñoz
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700976
Subject(s) - series (stratigraphy) , induced seismicity , block (permutation group theory) , cellular automaton , magnitude (astronomy) , automaton , geology , earthquake prediction , earthquake magnitude , seismology , mathematics , computer science , statistical physics , algorithm , physics , geometry , scaling , theoretical computer science , paleontology , astronomy
Abstract Modelling of seismic faults by using spring block systems on a frictional surface, requires to solve coupled differential equation systems with a great number of equations, in order to avoid this problem, the spring‐block model is mapped into a continuous, non‐conservative cellular automaton. Every time the automaton is calculated a synthetic earthquake is obtained. We obtained catalogues of synthetic earthquake magnitude, which we can represent as a time series. Such series exhibit power law behavior so much for the magnitudes (Gutenberg‐Richter law) as for the duration times. The analysis of these time series with methods of non‐linear dynamics provides interesting results; for example, the time series show multifractality for large values of the conservation level. We present the correlation analysis of three kinds of time series: recurrence times, jumps or distance between consecutive earthquakes and magnitude for different thresholds. We obtained long correlations in recurrence times as it has been observed in real seismicity. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)