Earthquake Processes: A View from Synergetics and the Theory of Catastrophes

Sergey A. Arsen’yev, Lev V. Eppelbaum*, Tatiana Meirova

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The theory of catastrophes and synergetics, developed by mathematicians in the second half of the twentieth century (Haken in Synergetics. Introduction and advances topics. Springer, Berlin, 1978; Arnol’d VI in Catastrophic theory. Springer, Berlin 2004), is used to analyze earthquake processes in active faults. It is shown that the oscillators of the seismic radiation are vibrating blocks at the border of the fault, and the source of the energy supply is the margin of the fault moving with the velocity V0. The input or loss of energy is regulated by a nonlinear element, the frictional force F(V), which depends on the difference V between the velocity of the fault margin V0 and the velocity of the seismic block vibration: V = V0 − dx/dt. Precise conditions for the occurrence of an earthquake, its attenuation, or the generation of a tectonic tremor in its source are formulated.

Original languageEnglish
Pages (from-to)3377-3390
Number of pages14
JournalPure and Applied Geophysics
Volume176
Issue number8
DOIs
StatePublished - 1 Aug 2019

Keywords

  • Earthquake mechanisms
  • nonlinear friction
  • oscillations of rock blocks in faults

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