Transport in chemically and mechanically heterogeneous porous media .2. Comparison with numerical experiments for slightly compressible single-phase flow

被引：35

作者：

Quintard, M

Whitaker, S

机构：

[1] L.E.P.T.-ENSAM (UA CNRS), Esplanade des Arts et Métiers

[2] Department of Chemical Engineering, University of California, Davis

来源：

ADVANCES IN WATER RESOURCES | 1996年 / 19卷 / 01期

关键词：

Adsorption - Compressibility of liquids - Equations of motion - Mechanical permeability - Numerical methods - Porous materials - Transport properties;

D O I：

10.1016/0309-1708(95)00024-D

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

In this paper we compare the theory developed in Part I (Adv. Water Resour., 19 (1996) 29-47) with numerical experiments for transient, one-dimensional (in the large-scale averaged sense) flow in nodular and stratified systems, The comparison is limited to systems that are isotropic at the Darcy scale, and that are relatively simple when compared to the complex nature of most geological systems. Good agreement between theory and experiment is obtained, and this suggests that the simplifications made in the development of the three closure problems are acceptable. The closure problems have been used to calculate the permeability tensors and the exchange coefficient for a wide range of conditions of practical importance.

引用

页码：49 / 60

页数：12

共 13 条

[1]

Arbogast T., Douglas J., Hornung U., Derivation of the double porosity model of single phase flow via homogenization theory, Siam J. Math. Anal., 2, pp. 823-836, (1990)

[2]

Bachu S., Cuthiell D., Effects of core-scale heterogeneity on steady-state and transient fluid flow in porous media: Numerical analysis, Water Resour. Res., 26, 5, pp. 863-874, (1990)

[3]

Douglas J., Arbogast T., Dual porosity models for flow in naturally fractured reservoirs, Dynamics of Fluids in Hierarchical Porous Media, pp. 177-221, (1990)

[4]

Kazemi H., Merril L.S., Porterfield K.L., Zeman P.R., Numerical simulation of water-oil flow in naturally fractured reservoirs, Soc. Petrol. Eng. J., pp. 317-326, (1976)

[5]

Kazemi H., Gilman J.R., Elsharkawy A.M., Analytical and numerical solutions of oil recovery from fractured reservoirs with empirical transfer functions, SPE Reservoir Engng, pp. 219-227, (1992)

[6]

Prat M., On the boundary conditions at the macroscopic scale, Trans. Porous Media, 4, pp. 259-280, (1989)

[7]

Prat M., Modelling of heat transfer by conduction in a transition region between a porous medium and an external fluid, Trans. Porous Media, 5, pp. 71-95, (1990)

[8]

Prat M., Some refinements concerning the boundary conditions at the macroscopic level, Trans. Porous Media, 7, pp. 147-161, (1992)

[9]

Quintard M., Whitaker S., Ecoulements monophasiques en milieu poreux: Effet des hétérogénéités locales, J. Méca. Théo. Appl., 6, pp. 691-726, (1987)

[10]

Quintard M., Whitaker S., Two-phase flow in heterogeneous porous media: The method of large-scale averaging, Trans. Porous Media, 3, pp. 357-413, (1988)

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