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This article in SSSAJ

  1. Vol. 20 No. 4, p. 443-447
    Received: Aug 31, 1955

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

  1. Paul R. Day and
  2. James N. Luthin2



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.

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