Green-Ampt approximations

被引：48
|
作者：
Barry, DA [1 ]
Parlange, JY
Li, L
Jeng, DS
Crapper, M
机构：
[1] Ecole Polytech Fed Lausanne, Sch Architecture Civil & Environm Engn, CH-1015 Ecublens, Switzerland
[2] Cornell Univ, Dept Biol & Environm Engn, Ithaca, NY 14853 USA
[3] Univ Queensland, Sch Engn, Brisbane, Qld 4072, Australia
[4] Hohai Univ, Ctr Ecoenvironm Modelling, Nanjing 210098, Peoples R China
[5] Univ Sydney, Dept Civil Engn, Sydney, NSW 2006, Australia
[6] Univ Edinburgh, Sch Engn & Elect, Inst Infrastruct & Environm, Contaminated Land Assessment & Remediat Res Ctr, Edinburgh EH9 3JL, Midlothian, Scotland
来源：
ADVANCES IN WATER RESOURCES | 2005年 / 28卷 / 10期
关键词：
Lambert W-1 function approximations; asymptotic expansions; branch point; iteration scheme;
D O I：
10.1016/j.advwatres.2005.03.010
中图分类号：
TV21 [水资源调查与水利规划];
学科分类号：
081501 ;
摘要：
The solution to the Green and Ampt infiltration equation is expressible in terms of the Lambert W-1 function. Approximations for Green and Ampt infiltration are thus derivable from approximations for the W-1 function and vice versa. An infinite family of asymptotic expansions to W-1 is presented. Although these expansions do not converge near the branch point of the W function (corresponds to Green-Ampt infiltration with immediate ponding), a method is presented for approximating W-1 that is exact at the branch point and asymptotically, with interpolation between these limits. Some existing and several new simple and compact yet robust approximations applicable to Green-Ampt infiltration and flux are presented, the most accurate of which has a maximum relative error of 5 x 10(-5)%. This error is orders of magnitude lower than any existing analytical approximations. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：1003 / 1009
页数：7
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