1-D, 2-D, AND 3-D ANALYTICAL SOLUTIONS OF UNSATURATED FLOW IN GROUNDWATER

被引：28
|
作者：
TRACY, FT
机构：
[1] US Army Engineer Waterways Experiment Station, Vicksburg, MS 39180
来源：
JOURNAL OF HYDROLOGY | 1995年 / 170卷 / 1-4期
关键词：
D O I：
10.1016/0022-1694(94)02674-Z
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
An excellent tool for checking numerical models of unsaturated flow in groundwater is analytical solutions. However, because of the highly nonlinear nature of the governing partial differential equation, only a limited number of analytical solutions are available. This paper first gives some simple 1-D solutions. Next, by use of a transformation, the nonlinear partial differential equation is converted to a linear one for a specific form of the moisture content vs. pressure head and relative hydraulic conductivity vs. pressure head curves. This allows both 2-D and 3-D solutions to be derived, which is done in this paper. Finally, computations from a finite element computer program are compared with results from one of the analytical solutions to illustrate the use of the derived equations.
引用
收藏
页码：199 / 214
页数：16
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