Non-linear dynamics of a continuous sping-block model of earthquake faults
In this article continuous one-dimensional Burridge-Knopoff model of earthquake faults is generalized by introducing plastic creep in addition to rigid sliding. The resulting equations, for an order parameter (sliding rate) and a control parameter (driving force), exhibit a velocity-strengthening and a velocity-softening instability. In the former regime, considered to be the analog of self-organized criticality in continuum systems, anomalous diffusion is described by a nonlinear diffusion equation. The latter regime, characteristic of deterministic chaos, is described by a time-dependent Ginzburg-Landau equation.
Bibliographic Reference: Article: Physical Review Letters (1997)
Record Number: 199711035 / Last updated on: 1997-09-16
Original language: en
Available languages: en