Exact transverse macro dispersion coefficients for transport in heterogeneous porous media

被引：52

作者：

Attinger, S ^{[1
]}

Dentz, M

Kinzelbach, W

机构：

[1] ETH, Swiss Fed Inst Technol, Computat Lab, CH-8092 Zurich, Switzerland

[2] Tech Univ Catalonia, Dept Geotech Engn & Geosci, Barcelona, Spain

[3] ETH, Swiss Fed Inst Technol, Inst Hydromech & Water Resources Management, CH-8092 Zurich, Switzerland

来源：

STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT | 2004年 / 18卷 / 01期

关键词：

stochastic modelling; coarse graining; dispersion; transport; heterogeneous porous media;

D O I：

10.1007/s00477-003-0160-6

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

We study transport through heterogeneous media. We derive the exact large scale transport equation. The macro dispersion coefficients are determined by additional partial differential equations. In the case of infinite Peclet numbers, we present explicit results for the transverse macro dispersion coefficients. In two spatial dimensions, we demonstrate that the transverse macro dispersion coefficient is zero. The result is not limited on lowest order perturbation theory approximations but is an exact result. However, the situation in three spatial dimensions is very different: The transverse macro dispersion coefficients are finite - a result which is confirmed by numerical simulations we performed.

引用

页码：9 / 15

页数：7

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