XFEM in fluid saturated medium

<>To describe the crack propagation in a fluid saturated solid I have idea to combine the Strong Discontinuity (XFEM) with the fluid, but at the micro-scale, which probably means to use (Navier-)Stokes equations or some modification of them. <>

<>I know for some attempts, but at the macro-scale, where we can use Darcy flow!

<> <> Do you think it is a feasible task at the micro-scale?