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F. Whisler, A. Klute (1965)
The Numerical Analysis of Infiltration, Considering Hysteresis, Into a Vertical Soil Column at Equilibrium Under GravitySoil Science Society of America Journal, 29
(1968)
Woolhiser , The kinematic cascade as a hydrologic model , Hydrol
Whisler Whisler, Klute Klute (1965)
The numerical analysis of infiltration, considering hysteresis, into a vertical soil column at equilibrium under gravitySoil Sci. Soc. Amer. Proc., 29
R. Wooding (1965)
A hydraulic model for the catchment-stream problem: I. Kinematic-wave theoryJournal of Hydrology, 3
G. Foster, L. Huggins, L. Meyer (1968)
Simulation of Overland Flow on Short Field PlotsWater Resources Research, 4
(1970)
Mathematical simulation of infiltrating watersheds
A. Klute (1952)
A NUMERICAL METHOD FOR SOLVING THE FLOW EQUATION FOR WATER IN UNSATURATED MATERIALSSoil Science, 73
R. Brooks, A. Corey (1963)
Hydraulic properties of porous media
R. Hanks, S. Bowers (1962)
Numerical Solution of the Moisture Flow Equation for Infiltration into Layered Soils 1Soil Science Society of America Journal, 26
J. Philip (1957)
THE THEORY OF INFILTRATION: 1. THE INFILTRATION EQUATION AND ITS SOLUTIONSoil Science, 171
R. Freeze (1969)
The Mechanism of Natural Ground-Water Recharge and Discharge: 1. One-dimensional, Vertical, Unsteady, Unsaturated Flow above a Recharging or Discharging Ground-Water Flow SystemWater Resources Research, 5
James Morgali (1970)
Laminar and Turbulent Overland Flow HydrographsJournal of Hydraulic Engineering, 96
D. Woolhiser, J. Liggett (1967)
Unsteady, one‐dimensional flow over a plane—The rising hydrographWater Resources Research, 3
J. Rubin, R. Steinhardt (1963)
Soil Water Relations During Rain Infiltration: I. Theory1, 2Soil Science Society of America Journal, 27
Rubin Rubin, Steinhardt Steinhardt (1963)
Soil‐water relations during rain infiltration, 1, TheorySoil Sci. Soc. Amer. Proc., 27
Hanks Hanks, Bowers Bowers (1962)
Numerical solution of the moisture flow equation for infiltration into layered soilsSoil Sci. Soc. Amer. Proc., 26
V. Chow, T. Harbaugh (1965)
Raindrop production for laboratory watershed experimentationJournal of Geophysical Research, 70
J. Rubin (1966)
Theory of rainfall uptake by soils initially drier than their field capacity and its applicationsWater Resources Research, 2
Morgali Morgali (1970)
Laminar and turbulent overland flow hydrographsJ. Hydraul. Div., Amer. Soc. Civil Eng., 96
The partial differential equation for vertical, one‐phase, unsaturated moisture flow in soils is employed as a mathematical model for infiltration rate. Solution of this equation for the rainfall‐ponding upper boundary condition is proposed as a sensitive means to describe infiltration rate as a dependent upper boundary condition. A nonlinear Crank‐Nicholson implicit finite difference scheme is used to develop a solution to this equation that predicts infiltration under realistic upper boundary and soil matrix conditions. The kinematic wave approximation to the equations of unsteady overland flow on cascaded planes is solved by a second order explicit difference scheme. The difference equations of infiltration and overland flow are then combined into a model for a simple watershed that employs computational logic so that boundary conditions match at the soil surface. The mathematical model is tested by comparison with data from a 40‐foot laboratory soil flume fitted with a rainfall simulator and with data from the USDA Agricultural Research Service experimental watershed at Hastings, Nebraska. Good agreement is obtained between measured and predicted hydrographs, although there are some differences in recession lengths. The results indicate that a theoretically based model can be used to describe simple watershed response when appropriate physical parameters can be obtained.
Water Resources Research – Wiley
Published: Aug 1, 1971
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