Fluid operations at depth not only trigger earthquakes but also aseismic slip on preexisting faults. In many cases the aseismic slip activates in turn a significant amount of seismicity. Understanding the dynamics of such propagating slow slip phenomena is thus of primarily importance to better assess the induced seismicity hazard. Here we model a typical aseismic fault by a planar interface between elastic half spaces, where slip is resisted by Dieterich-Ruina friction. We present numerical results about the slow slip events generated by a local fluid injection on such a fault. We demonstrate the existence of a self similar solution for slip rate along this fault of the form $V=t^{−1}f(x/t)$. This solution allows to identify the mechanical parameters controlling the evolution of slow slip in response to a localized pressure increase.


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