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Prediction of Imbibition in a Horizontal Column¹

ABSTRACT

An approximate analytical solution to the equations of water and air movement in a horizontal porous medium is presented. From the solution for the water content profile, imbibition rates can be predicted as a function of time. A comparison of predicted and experimental imbibition rates shows an excellent agreement. This result is particularly significant because no numerical integration of a differential equation is necessary to obtain the water content profiles and to obtain the imbibition rates. The method of solution requires only graphical constructions and integrations of curves simply related to the basic soil characteristics such as capillary head and unsaturated hydraulic conductivity.

¹ Contribution from Institut de Mécanique, Université Scientifque et Médicale de Grenoble, B. P. 53, Centre de Tri 38041, Grenoble Cedex, France. The work upon which this article is based was partially supported by funds provided by the Centre National de Recherche Scientifique, Paris and by funds provided by the US Department of Interior, Office of Water Resources Research, as authorized under the Water Resources Research Act of 1964; and pursuant to Grant Agreement no. 14-31-0001-3566, Contract B-070 Colorado.

² Professor of Civil Engineering, Colorado State University, Ft. Collins, CO80523.

³ Research Associate, Institut de Mécanique, Université Scientifique et Médicale de Grenoble.

Received for publication November 11, 1974. Accepted for publication March 5, 1975.