Abstract
ABSTRACT This paper describes the development of a three-dimensional, three-phase model for simulating the flow of water, oil and gas in a naturally fractured reservoir. A dual porosity system is used to describe the fluids present in the fractures and matrix blocks. Primary flow in the reservoir occurs within the fractures with local exchange of fluids between the fracture system and matrix blocks. The matrix-fracture transfer function is based on an extension of the equation developed by Warren and Root and accounts for capillary pressure, gravity, and viscous forces. Both the fracture flow equations and matrix-fracture flow are solved implicitly for pressure, water saturation, gas saturation and saturation pressure. Example problems are presented to demonstrate the utility of the model. These include a comparison of the results from this paper with previous results; comparisons of individual block matrix-fracture transfer, obtained using a detailed three-dimensional grid, with results using the fracture model’s matrix-fracture transfer function; and three-dimensional field scale simulations of two-and three-phase flow. The three-phase example illustrates the effect of free gas saturation on oil recovery by water flooding.
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