Modeling fractures as interfaces for flow and transport in porous media

Fractures in a porous medium are considered individually and are supposed to be a porous medium of higher permeability than in the surrounding rock. Since their thickness is supposed to be small with respect to the dimension of the domain of calculation they are modelled as interfaces. We formulate the flow and the transport in the medium, taking into account interaction between the fracture and the surrounding rock. We proved existence and uniqueness of the flow problem and give numerical experiments illustrating the model. The case of intersecting fractures is also considered.