SIMULATION OF THE IMMISCIBLE DISPLACEMENT IN POROUS MEDIA USING CAPILLARY PRESSURE AND RELATIVE PERMEABILITY CURVES FROM TRANSIENT AND STEADY-STATE EXPERIMENTS

摘要

The relative permeability,k_(rw),k_(ro),and capillary pressure,Pc,curves,are estimated with history matching from transient displacement experiments performed on a model porous medium,at varying values of the capillary number,Ca,for two fluid systems: one of intermediate and one of strong wettability.The transient k_(rw),k_(ro)are compared to corresponding ones measured with the steady-state method on the same porous medium.Potential differences of the two-phase flow coefficients are interpreted in the light of the transient growth pattern,and the steady-state two-phase flow regimes identified at the pore network scale.The macroscopic two-phase flow equations of the transient immiscible displacement of two fluids in a 2-D porous medium are simulated with finite elements by using as input data the steady-state and transient k_(rw),k_(ro)and ignoring or accounting for the capillary pressure term.For the same porous medium and comparable experimental conditions,the steady-state relative permeability functions may differ significantly from the corresponding transient ones,whereas both are sensitive to the capillary number and wettability.