| 摘要 |
The capillary pressure variation curve is determined experimentally for a sample of the medium and fluid, the pores are modeled as a distribution of capillaries of fractal section, with a wetting fluid near the walls surrounding non-wetting fluid(s). The relative permeabilities are modeled as analytical expressions depending on different fractal dimensions and optimum conditions are determined - DETAILED DESCRIPTION - Modeling method for optimizing displacement conditions in a porous medium wettable by a first fluid or a two or three phase mixture of fluids including the first fluid and at least one other. The method involves experimental determination of the curve showing capillary pressure variation (Pc) in the pores of a sample of the porous medium in the presence of the wetting fluid and a non-wetting fluid; modeling the pores of the porous medium by a distribution of capillaries of fractal section considering a stratified partition of the fluids in the pores, the wetting fluid being in contact with the walls and around the other fluid(s). The values of the fractal dimension corresponding to a series of given values of the relative saturation of the liquid phases are calculated from the capillary pressure curve. The relative permeabilities are modeled directly as analytical expressions depending on the different fractal dimensions obtained. The relative permeabilities are introduced into a simulator of the porous medium and the optimum displacement conditions are determined using the simulator. The three phases are a wetting fluid, a non-wetting fluid and a gas, with the model considering the gas in the center, and the non-wetting fluid surrounded an annular film of the wetting fluid. The model can consider injection of wetting fluid and gas doses alternately to move a hydrocarbon in situ or injection of a fluid to drain pollutants from a soil
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