Abstract

Abstract The dependence of the capillary pressure on the flow rate, for two-phase flow in porous media, has been theoretically and experimentally investigated. A theoretical dynamic expression for the capillary pressure has been derived which involves a dynamic term which is proportional to the time derivative of the saturation. A series of waterfloods have been performed at different flow rates. While flowing the cores, capillary pressure and saturations have been locally measured. Capillary pressure has been found to depend on the flow rate as theoretically predicted: it increases with the flow rate and its derivative with respect to saturation mostly decreases when the flow rate is increased. The dynamic term is interpreted as the contribution of the viscous forces to the pressure drops. A strong impact of this dynamic expression on two-phase flow modelling and calculation of relative permeabilities has been found.

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