TIME TO PONDING - COMPARISON OF ANALYTIC, QUASI-ANALYTIC, AND APPROXIMATE PREDICTIONS

被引:51
作者
BROADBRIDGE, P
WHITE, I
机构
[1] CSIRO, Canberra, Aust, CSIRO, Canberra, Aust
关键词
MATHEMATICAL MODELS - RAIN AND RAINFALL - RUNOFF - SOILS - Erosion;
D O I
10.1029/WR023i012p02302
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
An analytic expression for time to ponding is introduced using the nonlinear model of P. Broadbridge and I. White. The hydraulic properties of this model can encompass properties ranging from those of a highly nonlinear Green-Ampt-like soil to those satisfying the weakly nonlinear Burgers' equation. Because of its versatility, this analytic solution is used as a benchmark against which extent analytic, quasi-analytic, and approximate expressions are compared. Time to ponding is parameterized here in terms of the readily measured field properties, sorptivity and hydraulic conductivity. In the limit of Green-Ampt-like properties the analytic solution reduces exactly to the Parlange and Smith (1976) approximation. A similar functional dependence of time to ponding on rainfall rate is found from quasi-analytic approximations. Based on this, a modified approximation is suggested which should give time to ponding for most soils to within plus or minus 10%.
引用
收藏
页码:2302 / 2310
页数:9
相关论文
共 43 条
[1]   A SIMPLIFIED FUNCTIONS APPROACH FOR DETERMINING SOIL HYDRAULIC CONDUCTIVITIES AND WATER CHARACTERISTICS INSITU [J].
AHUJA, LR ;
GREEN, RE ;
CHONG, SK ;
NIELSEN, DR .
WATER RESOURCES RESEARCH, 1980, 16 (05) :947-953
[2]   MOISTURE VARIATION AT SOIL SURFACE AND ADVANCE OF WETTING FRONT DURING INFILTRATION AT CONSTANT FLUX [J].
BRAESTER, C .
WATER RESOURCES RESEARCH, 1973, 9 (03) :687-694
[3]   A PORTABLE MICROCOMPUTER-CONTROLLED DRIP INFILTROMETER .2. FIELD MEASUREMENT OF SORPTIVITY, HYDRAULIC CONDUCTIVITY AND TIME TO PONDING [J].
BRIDGE, BJ ;
ROSS, PJ .
AUSTRALIAN JOURNAL OF SOIL RESEARCH, 1985, 23 (03) :393-404
[4]  
BROADBRIDGE P, 1988, IN PRESS WATER RESOU
[5]  
CARSLAW HS, 1959, CONDUCTION HEAT SOLI
[6]  
CHAPMAN TG, 1968, LAND EVALUATION, P312
[8]   INFILTRATION DURING AN UNSTEADY RAIN [J].
CHU, ST .
WATER RESOURCES RESEARCH, 1978, 14 (03) :461-466
[9]   MEASUREMENT OF SORPTIVITY AND SOIL-WATER DIFFUSIVITY IN THE FIELD [J].
CLOTHIER, BE ;
WHITE, I .
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL, 1981, 45 (02) :241-245
[10]   CONSTANT-RATE RAINFALL INFILTRATION - FIELD EXPERIMENTS [J].
CLOTHIER, BE ;
WHITE, I ;
HAMILTON, GJ .
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL, 1981, 45 (02) :245-249