Articles | Volume 2, issue 3/4
Nonlin. Processes Geophys., 2, 131–135, 1995
https://doi.org/10.5194/npg-2-131-1995

Special issue: Complex space-time geophysical structures

Nonlin. Processes Geophys., 2, 131–135, 1995
https://doi.org/10.5194/npg-2-131-1995

  31 Dec 1995

31 Dec 1995

Size-frequency relation of earthquakes in load-transfer models of fracture

J. B. Gómez1, D. Iñiguez2, and A. F. Pacheco2 J. B. Gómez et al.
  • 1Department of Geological Sciences, University College London, Gower Street, London WC1 6BT,U.K.
  • 2Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain

Abstract. Using Monte Carlo simulations of the process of breaking in arrays of elements with load-transfer rules, we have obtained the size- frequency relation of the avalanches occurring in 1- and 2-dimensional stochastic fracture models. The resulting power-law behaviour resembles the Gutenberg-Richter law for the relation between the size (liberated energy) of earthquakes and their number frequency. The value of the power law exponent is calculated as a function of the degree of stress dissipation present in the model. The degree of dissipation is implemented in a straightforward and simple way by assuming that only a fraction of the stress is transferred in each breaking event. The models are robust with respect to the degree of dissipation and we observe a consistent power-law behaviour for a broad range of dissipation values, both in ID and 2D. The value of the power-law exponent is similar to the phenomenological b- value (0.8 < b < 1.1) for intermediate magnitude earthquakes.