The foam drainage equation for drainage dynamics in unsaturated porous media

被引:7
|
作者
Lehmann, P. [1 ]
Hoogland, F. [1 ]
Assouline, S. [2 ]
Or, D. [1 ]
机构
[1] Swiss Fed Inst Technol, Dept Environm Syst Sci, Soil & Terr Environm Phys, Zurich, Switzerland
[2] Volcani Ctr, Inst Soils Water & Environm Sci ARO, Dept Environm Phys & Irrigat, Bet Dagan, Israel
关键词
CORNER FLOW; INFILTRATION; LIQUIDS; PORE; CONDUCTIVITY; MECHANISMS;
D O I
10.1002/2017WR020361
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Similarity in liquid-phase configuration and drainage dynamics of wet foam and gravity drainage from unsaturated porous media expands modeling capabilities for capillary flows and supplements the standard Richards equation representation. The governing equation for draining foam (or a soil variant termed the soil foam drainage equation-SFDE) obviates the need for macroscopic unsaturated hydraulic conductivity function by an explicit account of diminishing flow pathway sizes as the medium gradually drains. The study provides new and simple analytical expressions for drainage rates and volumes from unsaturated porous media subjected to different boundary conditions. Two novel analytical solutions for saturation profile evolution were derived and tested in good agreement with a numerical solution of the SFDE. The study and the proposed solutions rectify the original formulation of foam drainage dynamics of Or and Assouline (2013). The new framework broadens the scope of methods available for quantifying unsaturated flow in porous media, where the intrinsic conductivity and geometrical representation of capillary drainage could improve understanding of colloid and pathogen transport. The explicit geometrical interpretation of flow pathways underlying the hydraulic functions used by the Richards equation offers new insights that benefit both approaches.
引用
收藏
页码:5706 / 5724
页数:19
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