General Anisotropic Effective Medium Theory for the Effective Permeability of Heterogeneous Reservoirs

被引：0

作者：

P. A. Fokker

机构：

[1] Netherlands Institute of Applied Geoscience TNO,

来源：

Transport in Porous Media | 2001年 / 44卷

关键词：

upscaling; effective medium theory; effective permeability; fracture network;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

One of the techniques to calculate the effective property of a heterogeneous medium is the effective medium theory. The present paper presents a general mathematical formulation for the effective medium approximation using a self-consistent choice of the effective permeability, to apply it to the case of a general anisotropic 2D medium and to the case of a 3D isotropic medium with randomly oriented ellipsoidal inclusions. The 2D results are compared with analytical results and with a homogenization technique with good result. The 3D correlations are used to derive percolation thresholds in two-phase systems with a large permeability contrast, which are compared to numerical results from the literature, also with good results.

引用

页码：205 / 218

页数：13

共 13 条

[1] Batchelor G. K.(1974)Transport properties of two-phase materials with random structure Ann. Rev. Fluid Mech. 6 227-255
[2] Bruggeman D. A. G.(1935)Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen Annl. Phys. (Leipzig) 24 636-679
[3] Dagan G.(1979)Models of groundwater flow in statistically homogeneous porous formations Water Resour. Res. 15 47-63
[4] Garboczi E. J.(1996)Intrinsic conductivity of objects having arbitrary shape and conductivity Phys. Rev. E 53 6169-6180
[5] Douglas J. F.(1995)Geometrical percolation threshold of overlapping ellipsoids' Phys. Rev. E 52 819-828
[6] Garboczi E. J.(1988)Effective permeability and dispersion in locally heterogenous aquifers Water Resour. Res. 24 1921-1926
[7] Snyder K. A.(1997)Calculating equivalent permeability: a review Adv. Water Resour. 20 253-278
[8] Douglas J. F.(1975)Generalized effective-medium approach to the conductivity of an inhomogeneous material Phys. Rev. B 12 3368-3373
[9] Thorpe M. F.(undefined)undefined undefined undefined undefined-undefined
[10] Poley A. D.(undefined)undefined undefined undefined undefined-undefined

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