THREE DIMENSIONAL UNSTEADY UNSATURATED FLOW THROUGH POROUS MEDIA
Abstract
SOIL WATER CONTENT AND MOVEMENT IS OF PARAMOUNT INTEREST FOR MANY SCIENCES. INFILTRATION AND MOISTURE RE-DISTRIBUTION DURING IRRIGATION AND DRAINAGE, EVAPORATION FROM THE SOIL SURFACE AND WATER UPTAKE BY PLANTS CONSTITUTE PROBLEMS OF EVERYDAY PRACTICE IN AGRICULTURE, BOTH IRRIGATED AND DRY FARMING. IN THIS WORK THE PROBLEM OF SOIL WATER MOVEMENT, UNDER CONDITIONS OF UNSATURATED FLOW INA HOMOGENEOUS AND ISOTROPIC, POROUS MEDIUM, WITHOUT ANY CHEMICAL OR BIOLOGICAL REACTION PRESENT, IS CONSIDERED. MORE SPECIFICALLY, ONE-TWO-AND THREE-DIMENSIONAL SOIL-MOISTURE FLOW IS STUDIED BY NUMERICAL METHODS USING APPROPRIATE INITIAL AND BOUNDARY CONDITIONS. SOIL-WATER MOVEMENT IS DESCRIBED BY A PARTIAL DIFFERENTIAL EQUATION DERIVED UNDER THE ASSUMPTION THAT THE DARCY LAW GOVERNINGTHE FLOW OF WATER IN A SATURATED MEDIUM IS ALSO VALID FOR UNSATURATED FLOW. FOR THE NUMERICAL SOLUTION OF THE AFOREMENTIONED EQUATION THE MAC-CORMACK IMPLICIT NUMERICAL SCHEME WAS USED. THE RESULTS OBTAINED C ...
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