ORIGIN AND QUANTIFICATION OF COUPLING BETWEEN RELATIVE PERMEABILITIES FOR 2-PHASE FLOWS IN POROUS-MEDIA

被引：109

作者：

KALAYDJIAN, F

机构：

[1] Institut Français du Pétrole, Rueil-Malmaison Cedex, 92506

来源：

TRANSPORT IN POROUS MEDIA | 1990年 / 5卷 / 03期

关键词：

Coupling; Darcy's law; porous media flows; relative permeabilities; two-phase flow;

D O I：

10.1007/BF00140013

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

An extended formulation of Darcy's two-phase law is developed on the basis of Stokes' equations. It leads, through results borrowed from the thermodynamics of irreversible processes, to a matrix of relative permeabilities. Nondiagonal coefficients of this matrix are due to the viscous coupling exerted between fluid phases, while diagonal coefficients represent the contribution of both fluid phases to the total flow, as if they were alone. The coefficients of this matrix, contrary to standard relative permeabilities, do not depend on the boundary conditions imposed on two-phase flow in porous media, such as the flow rate. This formalism is validated by comparison with experimental results from tests of two-phase flow in a square cross-section capillary tube and in porous media. Coupling terms of the matrix are found to be nonnegligible compared to diagonal terms. Relationships between standard relative permeabilities and matrix coefficients are studied and lead to an experimental way to determine the new terms for two-phase flow in porous media. © 1990 Kluwer Academic Publishers.

引用

页码：215 / 229

页数：15

共 16 条

[1]

Auriault J.L., Nonsaturated deformable porous media: Quasistatics, Transport in Porous Media, 2, pp. 45-64, (1987)

[2]

Danis M., Jacquin C., Influence du contraste des viscosités sur les perméabilités relatives lors du drainage. Expérimentation et modélisation, Rev. Inst. Franc. Petrol., 38, pp. 723-733, (1983)

[3]

De Gennes P.-G., Theory of slow biphasic flows in porous media, Phys. Chem. Hydr., 4, pp. 175-185, (1983)

[4]

Glansdorff P., Prigogine I., Structures, stabilité et fluctuations, (1971)

[5]

Kalaydjian F., A macroscopic description of multiphase flow in porous media involving space-time evolution of fluid/fluid interface, Transport in Porous Media, 2, pp. 537-552, (1987)

[6]

Kalaydjian F., Legait B., Ecoulement lent à contre-courant de deux fluides non miscibles dans un capillaire présentant un rétrécissement, C. R. Acad. Sc. Paris Ser. II, 304, pp. 869-872, (1987)

[7]

Kalaydjian F., Legait B., Perméabilités relatives couplées dans des écoulements en capillaire et en milieu poreux, C. R. Acad. Sc. Paris Ser. II, 304, pp. 1035-1038, (1987)

[8]

Kalaydjian F., Legait B., Effets de la géométrie des pores et de la mouillabilité sur le déplacement diphasique à contre-courant en capillaire et en milieu poreux, Revue de Physique Appliquée, 23, pp. 1071-1081, (1988)

[9]

Legait B., Laminar flow of two phases through a capillary tube with variable square cross-section, J. Colloid Interface Sci., 96, pp. 28-38, (1983)

[10]

Mayer R.P., Stowe R.A., Mercury porosimetry - breakthrough pressure for penetration between packed spheres, J. Colloid Interface Sci., 20, pp. 893-911, (1965)

← 1 2 →