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A microphysical model of rock friction and the brittle-ductile transition controlled by dislocation glide and backstress evolution
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  • Christopher Thom,
  • Lars Hansen,
  • David Goldsby,
  • Emily Brodsky
Christopher Thom
University of California, Santa Cruz

Corresponding Author:[email protected]

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Lars Hansen
University of Minnesota-Twin Cities
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David Goldsby
University of Pennsylvania
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Emily Brodsky
University of California, Santa Cruz
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Abstract

Rate-and state-friction is an empirical framework that describes the complex velocity-, time-, and slip-dependent phenomena observed during frictional sliding of rocks and gouge in the laboratory. Despite its widespread use in earthquake nucleation and recurrence models, our understanding of rate-and state-friction, particularly its time-and/or slip-dependence, is still largely empirical, limiting our confidence in extrapolating laboratory behavior to the seismogenic zone. While many microphysical models have been proposed over the past few decades, none have explicitly incorporated the effects of strain hardening, anelasticity, or transient viscous rheology. Here we present a new model of rock friction that incorporates these phenomena directly from the microphysical behavior of lattice dislocations. This model of rock friction exhibits the same logarithmic dependence on sliding velocity (strain rate) as rate-and state-friction and predicts a dependence on the internal backstress caused by long-range interactions among geometrically necessary dislocations. Changes in the backstress evolve exponentially with plastic strain of asperities and are dependent on both the current backstress and previous deformation, which give rise to phenomena consistent with interpretations of the ‘critical slip distance,’ ‘memory effect,’ and ‘state variable’ of rate- and state-friction. Fault stability in this model is controlled by the evolution of backstress and temperature. We provide several analytical predictions for RSF-like behavior and the ‘brittle-ductile’ transition based on 2 microphysical mechanisms and measurable parameters such as the geometrically necessary dislocation density and strain-dependent hardening modulus.