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Aseismic crack growth upon activation of fault slip due to fluid injection may or may not lead to the nucleation of a dynamic rupture depending on in-situ conditions, frictional properties of the fault and the value of overpressure. In particular, a fault is coined as unstable if its residual frictional strength is lower than the in-situ background shear stress . We study here how fault dilatancy associated with slip affect shear crack propagation due to fluid injection. We use a planar bi-dimensional model with frictional weakening and assume that fluid flow only takes place along the fault (impermeable rock {/ immature fault}). Dilatancy induces an undrained pore-pressure drop locally strengthening the fault. We introduce an undrained residual fault shear strength (function of dilatancy) and show theoretically that under the assumption of small scale yielding, an otherwise unstable fault ($\tau_r
Jean-François Molinari, Brice Tanguy Alphonse Lecampion, Guillaume Anciaux, Nicolas Richart, Emil Gallyamov