Abstract
The chapter is devoted to application of the monotone FM methods in reservoir simulation. We will consider single-phase and multi-phase black-oil models, flows in fractured media, and well-driven flows. The black-oil model is the set of PDEs that describe subsurface flow during the oil and gas recovery from natural subsurface reservoirs. The numerical modeling is the primary decision-making tool for well drilling and management. Geological surveys, core analysis, ultrasound reconnaissance, and laboratory tests are mandatory steps preceding the reservoir simulation. Reservoir simulation implies multiple numerical tests with various scenarios to coin out the best strategy for management of a particular reservoir. Multiple runs of the simulator require its computational efficiency and physically correct results. Monotone FV schemes facilitate achieving these goals.
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