Nature of the high-speed rupture of the two-dimensional Burridge-Knopoff model of earthquakes
arXiv:1805.07511 · doi:10.1098/rsta.2017.0391
Abstract
The nature of the high-speed rupture or the main shock of the Burridge-Knopoff spring-block model in two dimensions obeying the rate-and-state dependent friction law is studied by means of extensive computer simulations. It is found that the rupture propagation in larger events is highly anisotropic and irregular in shape on longer length scales, although the model is completely uniform and the rupture-propagation velocity is kept constant everywhere at the rupture front. The manner of the rupture propagation sometimes mimics the successive ruptures of neighboring "asperities" observed in real large earthquakes. Large events tend to be unilateral, with its epicenter lying at the rim of its rupture zone. The epicenter site is also located next to the rim of the rupture zone of some past event. Event-size distributions are computed and discussed in comparison with those of the corresponding one-dimensional model. The magnitude distribution exhibits a power-law behavior resembling the Gutenberg-Richter law for smaller magnitudes, which changes over to a more characteristic behavior for larger magnitudes. The behavior of the rupture length for larger events is discussed in terms of the strongly anisotropic rupture propagation of large events reflecting the underlying geometry.
References in corpus (21)
- Dynamics of Earthquake Faults
- Statistical Physics of Fracture, Friction and Earthquake
- Transition from static to kinetic friction: Insights from a 2D model
- Burridge-Knopoff Models as Elastic Excitable Media
- 1D model of precursors to frictional stick-slip motion allowing for robust comparison with experiments
- Slow slip and the transition from fast to slow fronts in the rupture of frictional interfaces
- Simulation study of spatio-temporal correlations of earthquakes as a stick-slip frictional instability
- Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with the long-range interaction
- Simulation of the Burridge-Knopoff Model of Earthquakes with Variable Range Stress Transfer
- Rate- and State-Dependent Friction Law and Statistical Properties of Earthquakes
- Simulation Study of the One-Dimensional Burridge-Knopoff Model of Earthquakes
- Power Laws, Precursors and Predictability During Failure
- A 2-D Model for friction of complex anisotropic surfaces
- On the speed of fast and slow rupture fronts along frictional interfaces
- Steady-state propagation speed of rupture fronts along one-dimensional frictional interfaces
- Simulation study of the two-dimensional Burridge-Knopoff model of earthquakes
- Spatiotemporal correlations of earthquakes in the continuum limit of the one-dimensional Burridge-Knopoff model
- Nucleation process in the Burridge-Knopoff model of earthquakes
- Dynamics of earthquake nucleation process represented by the Burridge-Knopoff model
- Statistical properties of the one-dimensional Burridge-Knopoff model of earthquakes obeying the rate and state dependent friction law
- Slow-Slip Phenomena Represented by the One-Dimensional Burridge-Knopoff Model of Earthquakes