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In this work, we present an upscaled model for mixed dimensional coupled flowproblem in fractured porous media. We consider both embedded and discretefracture models (EFM and DFM) as fine scale models which contain coupled systemof equations. For fine grid discretization, we use a conservative finite-volumeapproximation. We construct an upscaled model using the non-localmulticontinuum (NLMC) method for the coupled system. The proposed upscaledmodel is based on a set of simplified multiscale basis functions for theauxiliary space and a constraint energy minimization principle for theconstruction of multiscale basis functions. Using the constructedNLMC-multiscale basis functions, we obtain an accurate coarse grid upscaledmodel. We present numerical results for both fine-grid models and upscaledcoarse-grid models using our NLMC method. We consider model problems with (1)discrete fracture fine grid model with low and high permeable fractures; (2)embedded fine grid model for two types of geometries with differnet fracturenetworks and (3) embedded fracture fine grid model with heterogeneouspermeability. The simulations using the upscaled model provide very accuratesolutions with significant reduction in the dimension of the problem.

Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models