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Linear Dispersion in Finite Columns¹

ABSTRACT

The effect of the finite length of a soil column on the miscible displacement of a solute is analyzed. The boundary conditions at both ends of the column affect the breakthrough curve, while only the boundary condition at the entrance of the column affects the profile within the column to any extent. The interaction between boundary conditions and column length is such that while the breakthrough curve is essentially that given by the standard solution for a semi-infinite column, even for relatively short columns, the concentration profile is greatly affected by the finite length of the soil column.

¹ Contribution from The Connecticut Agric. Exp. Sta. New Haven. 06504.

² Mathematician and Assistant Soil Scientist, respectively.

Received for publication January 15, 1975. Accepted for publication May 15, 1975.