Filtration Model of the Polymer Oil--Aqueous Solution Mixture Aimed at Obtaining the Relative Phase Permeability Functions

Abstract

The paper describes a physical and mathematical model of the steady-state isothermal quasi-one-dimensional flow of the polyacrylamide two-phase oil--water solution in a porous medium. The model is based on the concept of the porous medium structure as a system of the interconnected capillary channels, i.e., clusters, aggregating the entire void space. The paper considers the jet and bead-like flow regimes within the cluster. It describes pressure losses by the hydraulic equations introducing an additional term accounting for the interphase inter-action between the fluids and the rock. The developed model allows computing the relative phase permeability for various properties and concentrations of the polymer solution using the analytical formulas. Rheological properties of the aqueous polyacrylamide solution were analyzed depending on its concentration and temperature. Based on the results of studying filtration, the paper determines dependence of an increase in the oil displacement efficiency and the residual resistance factor on the polyacrylamide concentration. Using the developed model makes it possible to compute the relative phase permeability for oil filtration with water and the polymer solution. The paper establishes that the relative phase permeability of oil in the two-phase filtration region is increasing due to alteration in the wettability

Please cite this article in English as:

Zagorovskiy M.A., Stepanov S.V., Shabarov A.B. Filtration model of the polymer oil--aqueous solution mixture aimed at obtaining the relative phase permeability functions. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 5 (122), pp. 4--23 (in Russ.). EDN: SVBLST

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