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Comparison of Drainage Equations for the Gravity Drainage of Stratified Profiles¹

ABSTRACT

The output from a computer-based numerical analysis of the gravity drainage of a sand profile through an underlying impeding layer is used as the data for testing the manner in which algebraic equations are capable of describing the stratified drainage process. The comparisons indicate that no single equation is satisfactory in describing the wide range of nonlinear behavior that occurs with eight cases analyzed. However, when specific coefficients determined from a least squares analysis are used in an equation of the Jackson and Whisler type satisfactory correspondence is achieved.

¹ Contribution from the Mississippi Agric. and For. Exp. Stn. (MAFES), Mississippi State Univ., Mississippi State, Mississippi 39762. MAFES Journal Contribution No. 3235.

² Visiting Professor and Professor of Soil Physics, respectively, Department of Agronomy, MAFES, P. O. Box 5248, Mississippi State, MS 39762. This paper was written while the senior author was on leave from the Univ. of New South Wales, Kensington, N.S.W., Australia.

Received for publication January 16, 1976. Accepted for publication May 4, 1976.