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Transient and steady-state relative permeabilities from two-phase flow experiments in planar pore networks
Authors:CD Tsakiroglou  DG Avraam  AC Payatakes
Institution:1. Foundation for Research and Technology Hellas – Institute of Chemical Engineering and, High Temperature Chemical Processes, Stadiou Street, Platani, P.O. Box 1414, GR-26504 Patras, Greece;2. Department of Chemical Engineering, University of Patras, GR-26500 Patras, Greece;3. Prefecture Authority of Imathia, Direction of Town-Planning & Environment, Section of Environment, GR-59100 Veria, Greece
Abstract:The water krw and oil kro relative permeability curves of a glass-etched planar pore network are estimated with history matching from transient displacement experiments performed at varying values of the capillary number, Ca  , for two fluid systems: one of intermediate and one of strong wettability. The transient krw,krokrw,kro are compared to corresponding ones measured with the steady-state method on the same porous medium Avraam DG, Payatakes AC. Flow regimes and relative permeabilities during steady-state two-phase flow in porous media. J Fluid Mech 1995;293:207–36; Avraam DG, Payatakes AC. Generalized relative permeability coefficients during steady-state two-phase flow in porous media and correlation with the flow mechanisms. Transport Porous Med 1995;20:135–68; Avraam DG, Payatakes AC. Flow mechanisms, relative permeabilities, and coupling effects in steady-state two-phase flow through porous media. The case of strong wettability. Ind Eng Chem Res 1999;38:778–86.], and potential differences from them are interpreted in the light of the differences between the transient growth pattern, and the steady-state two-phase flow regime. For intermediate wettability, the transient kro and krw exceed the corresponding steady-state functions at low Ca values and have the tendency to become smaller than the steady-state ones at high Ca values. For strong wettability, the transient kro and krw are increasing functions of Ca, the transient kro is higher than the steady-state one, whereas the transient krw decreases substantially and becomes lower than the steady-state one at low Ca values. The dynamic capillary pressure estimated from transient experiments is a decreasing function of Ca in agreement with previous theoretical and experimental studies.
Keywords:Relative permeability  Capillary number  Pore network  History matching  Immiscible displacement  Capillary pressure  Flow regime  Transient pattern
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