Universal mean moment rate profiles of earthquake ruptures
arXiv:cond-mat/0509226 · doi:10.1103/PhysRevE.73.056104
Abstract
Earthquake phenomenology exhibits a number of power law distributions including the Gutenberg-Richter frequency-size statistics and the Omori law for aftershock decay rates. In search for a basic model that renders correct predictions on long spatio-temporal scales, we discuss results associated with a heterogeneous fault with long range stress-transfer interactions. To better understand earthquake dynamics we focus on faults with Gutenberg-Richter like earthquake statistics and develop two universal scaling functions as a stronger test of the theory against observations than mere scaling exponents that have large error bars. Universal shape profiles contain crucial information on the underlying dynamics in a variety of systems. As in magnetic systems, we find that our analysis for earthquakes provides a good overall agreement between theory and observations, but with a potential discrepancy in one particular universal scaling function for moment-rates. The results reveal interesting connections between the physics of vastly different systems with avalanche noise.
13 pages, 5 figures
References in corpus (4)
Cited by in corpus (29)
- Bulk Metallic Glasses Deform via Slip Avalanches
- Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
- Local and global avalanches in a 2D sheared granular medium
- Local dynamics of a randomly pinned crack front during creep and forced propagation: An experimental study
- Universal fluctuations and extreme statistics of avalanches near the depinning transtition
- Experimental evidence of accelerated seismic release without critical failure in acoustic emissions of compressed nanoporous materials
- On the critical nature of plastic flow: one and two dimensional models
- Fluctuations of global energy release and crackling in nominally brittle heterogeneous fracture
- Inference in non-equilibrium systems from incomplete information: the case of linear systems and its pitfalls
- Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
- Statistics of Avalanches with Relaxation, and Barkhausen Noise: A Solvable Model
- Asymmetric damage avalanche shape in quasi-brittle materials and sub-avalanches (aftershocks) clusters
- A probabilistic explanation for the size-effect in crystal plasticity
- Universal avalanche statistics and triggering close to failure in a mean field model of rheological fracture
- Slow dynamics in a single glass bead
- Statistical properties of Barkhausen noise in amorphous ferromagnetic films
- The stress statistics of the first pop-in or intermittent plastic event in cyrstal plasticity
- Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
- Crack growth in heterogeneous brittle solids : Intermittency, crackling and induced seismicity
- Quasistatic kinetic avalanches and self-organized criticality in deviatorically loaded granular media
- Universal Excursion and Bridge shapes in ABBM/CIR/Bessel processes
- Critical stress statistics and a fold catastrophe in intermittent crystal plasticity
- Universality in the mean spatial shape of avalanches
- Magnetic domain dynamics in an insulating quantum ferromagnet
- Earthquake dynamics constrained from laboratory experiments: new insights from granular materials
- Thermally activated intermittent flow in amorphous solids
- Micro-plasticity and recent insights from intermittent and small-scale plasticity
- On the scaling of avalanche shape and activity power spectrum in neuronal networks
- Shapes and velocity relaxation of dislocation avalanches in Au and Nb single crystals