NUMERICAL MODELING OF THREE-PHASE OIL-GAS-WATER FILTRATION IN A SINGLE-LAYER TWO-DIMENSIONAL POROUS MEDIUM
Annotatsiya
This paper develops a simplified three-phase mathematical model and a numerical solution for coupled oil, gas, and water filtration in a single-layer, two-dimensional porous medium. Phase flow is described using the generalized Darcy law and phase mass-balance equations. For the horizontal reservoir considered in the baseline numerical experiment, gravity and capillary-pressure effects are neglected, and the phases are assumed to be immiscible. The pressure equation is solved implicitly using the finite-volume method, whereas the saturation equations are advanced explicitly using an upwind approximation, resulting in an IMPES (Implicit Pressure, Explicit Saturation) formulation. Dynamic simulation results reveal the temporal evolution of spatial pressure fields, fluid saturation boundaries, and individual phase flow rates.
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