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Published in Soil Sci Soc Am J 43:1061-1067 (1979)
© 1979 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Measurement and Numerical Simulation of Hysteretic Flow in a Heterogeneous Porous Medium1

R. W. Gillham2, A. Klute3 and D. F. Heermann3

ABSTRACT

A finite difference solution of the Richards equation was tested experimentally for hysteretic flow in a nonuniform medium. The space-dependent hydraulic properties (water content-pressure head and hydraulic conductivity-water content) were determined experimentally on a laboratory column of sand and were represented in the numerical model by empirical equations.

Boundary conditions resulting in hysteretic flow were applied to both the experimental column and the numerical model and the resulting water content and pressure head profiles were compared. Agreement was excellent between the measured and computed results. An additional simulation, in which the medium was considered to be nonhysteretic, gave good agreement between the measured and computed pressure head values but resulted in substantial error in the computed water content values.


NOTES

1 Joint contribution from Colo. State Univ., and USDA-SEA, Agricultural Research, Ft. Collins, Colo. Supported in part by U.S. Dep. of Interior, OWRR, Project no. A-014-Colo., Colo. State Univ., Exp. Stn. Scientific Series Paper no. 2437.

2 Assistant Professor, Dep. of Earth Sciences, Univ. of Waterloo, Waterloo, Ontario, Canada.

3 Soil Scientist, USDA-SEA-AR and Professor of Soils, Colo. State Univ.; and Agricultural Engineer, USDA-SEA, Agricultural Research, Ft. Collins, Colo., respectively.

Received for publication November 22, 1978. Accepted for publication August 20, 1979.







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