Fracture mechanics of rate-and-state faults and fluid injection induced slip

Propagation of a slip transient on fault with rate- and state-dependent friction resembles fracture whose near tip region is characterized by large departure the velocity strength from steady-state sliding. We develop solution to describe this unsteady dynamics, obtain energy G c , dissipated in overcoming strength-excursion away steady state, as function rupture v r . This opens possibility model transients rate-and-state faults singular cracks approximately frictional resistance bulk, stress singularity intensity defined terms ( ) at crack tip. In pursuing route, we use an analytical equation motion study 1-D driven combination uniform background localized perturbation net Coulomb force ? T context fluid injection, proxy for injection volume V inj then show that, ongoing propagation speed induced frictionally stable bounded large-time limiting value proportional rate dV /d t while, stopped maximum run-out distance V inj , mathvariant="normal">total 2 article part theme issue ‘Fracture dynamics solid materials: particles globe’.