Similitude applied to centrifugal scaling of unsaturated flow

被引:19
作者
Barry, DA [1 ]
Lisle, IG
Li, L
Prommer, H
Parlange, JY
Sander, GC
Griffioen, JW
机构
[1] Univ Edinburgh, Sch Civil & Environm Engn, Edinburgh EH9 3JN, Midlothian, Scotland
[2] Univ Edinburgh, Contaminated Land Assessment & Remediat Res Ctr, Edinburgh EH9 3JN, Midlothian, Scotland
[3] Univ Canberra, Sch Math & Stat, Belconnen, ACT 2601, Australia
[4] Loughborough Univ Technol, Dept Civil & Bldg Engn, Loughborough LE11 3TU, Leics, England
[5] Cornell Univ, Dept Biol & Environm Engn, Ithaca, NY USA
关键词
D O I
10.1029/2000WR000049
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Centrifuge experiments modeling single-phase flow in prototype porous media typically use the same porous medium and permeant. Then, well-known scaling laws are used to transfer the results to the prototype. More general scaling laws that relax these restrictions are presented. For permeants that are immiscible with an accompanying gas phase, model-prototype (i.e., centrifuge model experiment-target system) scaling is demonstrated. Scaling is shown to be feasible for Miller-similar (or geometrically similar) media. Scalings are presented for a more, general class, Lisle-similar media, based on the equivalence mapping of Richards' equation onto itself. Whereas model-prototype scaling of Miller-similar media can be realized easily for arbitrary boundary conditions, Lisle-similarity in a finite length medium generally, but not always, involves a mapping to a moving boundary problem. An exception occurs for redistribution in Lisle-similar porous media, which is shown to map to spatially fixed boundary conditions. Complete model-prototype scalings for this example are derived.
引用
收藏
页码:2471 / 2479
页数:9
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