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多孔介质期刊
影响因子: 1.49 5年影响因子: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v2.i3.30
pages 251-262

Two-Dimensional Flow of Polymer Solutions Through Porous Media

P. Gestoso
Grupo de Polimeros USB, Departamento de Ciencia de los Materiales, Universidad Simon Bolivar, PO Box 89000, Caracas 1080-A, Venezuela
A. J. Muller
Grupo de Polimeros USB, Departamento de Ciencia de los Materiales, Universidad Simon Bolivar, PO Box 89000, Caracas 1080-A, Venezuela
A. E. Saez
Department of Chemical and Environmental Engineering, University of Arizona, Tucson, Arizona 85721

ABSTRACT

In this work we develop a mathematical model to predict velocity and pressure profiles for two-dimensional flow of polymer solutions through porous media. The model is based on a modification of the differential form of Darcy’s law in which the apparent viscosity of the polymer solution is expressed as a function of the local (pore-scale) deformation rate. The relationship between apparent viscosity and deformation rate was obtained from experimental results corresponding to one-dimensional flow. Once this relationship is available, the model is completely predictive, i.e., it has no adjustable parameters. Experiments were conducted to characterize the relationship between total pressure drop and fluid flow rate in a two-dimensional porous medium. The fluids used in the experiments were aqueous solutions of high molecular weight polymers: (1) a flexible polymer, poly (ethylene oxide), which exhibits extension thickening in one-dimensional flows through porous media, and (2) a semirigid polymer, hydroxypropyl guar, whose behavior in porous media is shear thinning. For the flexible polymer, the model predicts an extension thickening behavior that is less critical in terms of deformation rate variations than what is observed experimentally. We present arguments that suggest that the absence of elasticity in the constitutive relationship used in the model formulation is the reason for this inaccuracy. This indicates that elastic behavior at the pore level plays an important role in the macroscopic pressure drops of solutions of flexible polymer in porous media flows.


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