Detailed geological characterizations of naturally fractured reservoirs are commonly in the form of discrete fracture models, in which each fracture is defined explicitly. The efficient simulation of flow processes in such models poses a great challenge. In recent work, we developed systematic procedures for upscaling discrete fracture models to coarsescale continuum descriptions referred to as multiple subregion (MSR) models. In this work, we extend these formulations to generate full dual-porosity, dual-permeability MSR models and additionally introduce the use of global single-phase flow information in the computation of the upscaled interblock transmissibilities required by the method. The resulting models are used for waterflood simulations and, more interestingly, for compositional simulations of first-contactmiscible gas injection. In a series of flow simulations involving both connected and disconnected fracture systems, it is shown that the MSR method provides results of reasonable accuracy, relative to the reference DFM solutions, for both oilwater and compositional oil-gas simulations with six pseudocomponents. Computational speedups of order 1000 are achieved for the compositional models.
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