  In this paper, we extend the reinterpreted discrete fracture model for flow
simulation of fractured porous media containing flow blocking barriers on
non-conforming meshes. The methodology of the approach is to modify the
traditional Darcy's law into the hybrid-dimensional Darcy's law where fractures
and barriers are represented as Dirac-delta functions contained in the
permeability tensor and resistance tensor, respectively. As a natural extension
of the reinterpreted discrete fracture model for highly conductive fractures,
this model is able to account for the influence of both highly conductive
fractures and blocking barriers accurately on non-conforming meshes. The local
discontinuous Galerkin (LDG) method is employed to accommodate the form of the
hybrid-dimensional Darcy's law and the nature of the pressure/flux
discontinuity. The performance of the model is demonstrated by several
numerical tests.
