Micro and macroscopic models of rock fracture

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Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems (2003, background): “[46] Solutions of equations (16)–(18) give both the power law activation prior to an earthquake [Lyakhovsky et al., 1997; Ben-Zion and Lyakhovsky, 2002; Turcotte et al., 2003] and the power law decay of aftershock activity associated with the modified Omori s law [Shcherbakov and Turcotte, 2003b].”
Earthquake clusters in southern California I: Identification and stability (2013, background): “some accelerated failure process as the time of mainshocks is approached [e.g., Mogi, 1969; Keilis-Borok and Kossobokov, 1990; Bufe and Varnes 1993; Ben-Zion and Lyakhovsky, 2002; Turcotte et al., 2003].”
Brittle creep, damage and time to failure in rocks (2005, methodology): “Complexity is introduced in these models using (i) thermal noise, by introducing a failure probability per time unit that depends on the stress or strain on each element, or by adding random fluctuations to the stress [Coleman, 1956, 1958; Vujosevic and Krajcinovic, 1997; Ciliberto et al., 2001; Pol”
Analysis of aftershocks in a lithospheric model with seismogenic zone governed by damage rheology (2006, background): “Krajcinovic 1996; Newman & Phoenix 2001; Turcotte et al. 2003 ).”