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We present a new model for two phase Darcy flows in fractured media, in whichfractures are modelled as submanifolds of codimension one with respect to thesurrounding domain (matrix). Fractures can act as drains or as barriers, sincepressure discontinuities at the matrix-fracture interfaces are permitted.Additionally, a layer of damaged rock at the matrix-fracture interfaces isaccounted for. The numerical analysis is carried out in the general frameworkof the Gradient Discretisation Method. Compactness techniques are used toestablish convergence results for a wide range of possible numerical schemes;the existence of a solution for the two phase flow model is obtained as abyproduct of the convergence analysis. A series of numerical experimentsconclude the paper, with a study of the influence of the damaged layer on thenumerical solution.

Numerical analysis of a two-phase flow discrete fracture model