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Strain waves, earthquakes, slow earthquakes, and afterslip in the framework of the Frenkel-Kontorova model

N. I. Gershenzon1,2, V. G. Bykov3, and G. Bambakidis1

  • 1Physics Department, Wright State University, Dayton, Ohio, 45435 USA
  • 2Department of Earth and Environmental Sciences, Wright State University, Dayton, Ohio, USA
  • 3Institute of Tectonics and Geophysics, Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia

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Phys. Rev. E 79, 056601 – Published 6 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.056601

Abstract

The one-dimensional Frenkel-Kontorova (FK) model, well known from the theory of dislocations in crystal materials, is applied to the simulation of the process of nonelastic stress propagation along transform faults. Dynamic parameters of plate boundary earthquakes as well as slow earthquakes and afterslip are quantitatively described, including propagation velocity along the strike, plate boundary velocity during and after the strike, stress drop, displacement, extent of the rupture zone, and spatiotemporal distribution of stress and strain. The three fundamental speeds of plate movement, earthquake migration, and seismic waves are shown to be connected in framework of the continuum FK model. The magnitude of the strain wave velocity is a strong (almost exponential) function of accumulated stress or strain. It changes from a few km/s during earthquakes to a few dozen km per day, month, or year during afterslip and interearthquake periods. Results of the earthquake parameter calculation based on real data are in reasonable agreement with measured values. The distributions of aftershocks in this model are consistent with the Omori law for temporal distribution and a 1/r for the spatial distributions.

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Phys. Rev. E 79, 056601– Published 6 May, 2009
  • Received 14 August 2008

© 2009 American Physical Society

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