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Accurate simulation of fluid flow and transport in fractured porous media isa key challenge in subsurface reservoir engineering. Due to the high ratiobetween its length and width, fractures can be modeled as lower dimensionalinterfaces embedded in the porous rock. We apply a recently developed embeddedfinite element method (EFEM) for the Darcy problem. This method allows forgeneral fracture geometry, and the fractures may cut the finite element mesharbitrarily. We present here a velocity model for EFEM and couple the Darcyproblem to a transport problem for a passive solute. The main novelties of thiswork is a locally conservative velocity approximation derived from the EFEMsolution, and the development of a lowest order upwind finite volume method forthe transport problem. This numerical model is compatible with EFEM in thesense that the same computational mesh may be applied, so that we retain thesame flexibility with respect to fracture geometry and meshing. Hence, ourcoupled solution strategy represents a simple approach in terms of formulation,implementation and meshing. We demonstrate our model by some numerical exampleson both synthetic and realistic problems, including a benchmark study forsingle-phase flow. Despite the simplicity of the method, the results arepromising.

A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in porous media