AN ANALYTICAL SOLUTION TO RICHARDS EQUATION FOR TIME-VARYING INFILTRATION

被引:57
作者
WARRICK, AW [1 ]
ISLAS, A [1 ]
LOMEN, DO [1 ]
机构
[1] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721
关键词
D O I
10.1029/91WR00310
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
An analytical solution is developed for Richards equation for time-varying infiltration. The infiltration rates must be specified as piecewise constants with time. The answer is expressed as a sum of two terms, the first is a function of the instantaneous infiltration and the second an integral which accounts for the water distribution within the profile for the previous infiltration history. The solutions assume specific forms for the soil water diffusivity and hydraulic functions used earlier by Broadbridge and White (1988).
引用
收藏
页码:763 / 766
页数:4
相关论文
共 7 条
[1]  
ABRAMOWITZ A, 1964, HDB MATH FUNCTION AS, V55
[2]   EXACT-SOLUTIONS FOR VERTICAL DRAINAGE AND REDISTRIBUTION IN SOILS [J].
BROADBRIDGE, P ;
ROGERS, C .
JOURNAL OF ENGINEERING MATHEMATICS, 1990, 24 (01) :25-43
[3]   CONSTANT RATE RAINFALL INFILTRATION - A VERSATILE NONLINEAR MODEL .1. ANALYTIC SOLUTION [J].
BROADBRIDGE, P ;
WHITE, I .
WATER RESOURCES RESEARCH, 1988, 24 (01) :145-154
[4]   CONSTANT RATE RAINFALL INFILTRATION IN A BOUNDED PROFILE - SOLUTIONS OF A NONLINEAR MODEL [J].
BROADBRIDGE, P ;
KNIGHT, JH ;
ROGERS, C .
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL, 1988, 52 (06) :1526-1533
[5]   ON 2 PHASE FILTRATION UNDER GRAVITY AND WITH BOUNDARY INFILTRATION - APPLICATION OF A BACKLUND TRANSFORMATION [J].
ROGERS, C ;
STALLYBRASS, MP ;
CLEMENTS, DL .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (07) :785-799
[6]   AN ANALYTICAL SOLUTION TO RICHARDS EQUATION FOR A DRAINING SOIL-PROFILE [J].
WARRICK, AW ;
LOMEN, DO ;
ISLAS, A .
WATER RESOURCES RESEARCH, 1990, 26 (02) :253-258
[7]   CONSTANT RATE RAINFALL INFILTRATION - A VERSATILE NONLINEAR MODEL .2. APPLICATIONS OF SOLUTIONS [J].
WHITE, I ;
BROADBRIDGE, P .
WATER RESOURCES RESEARCH, 1988, 24 (01) :155-162