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A Numerical Solution of the Differential Equation of Flow for a Vertical Drainage Problem¹

ABSTRACT

The drainage rate of a uniform soil overlying a continuous gravel substratum is difficult to predict because of the fact that the soil moisture tension and the capillary conductivity of the soil vary with the water content. Richards' differential equation of flow furnishes a theoretical basis for analysis. The equation can be solved numerically by finite differences when the capillary conductivity and the water content have been determined at various values of the soil moisture tension. An illustration and experimental test of the method are given for the drainage of a column of fine sand.

¹ Contribution from the College of Agriculture, University of California. Presented before Div. I, Soil Science Society of America, Davis, Calif., Aug. 18, 1955.

² Associate Professor of Soil Physics, Department of Soils and Plant Nutrition, Berkeley, and Associate Professor of Irrigation, Department of Irrigation, Davis, respectively.

Received for publication August 31, 1955.