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Relations Between Geometrical Properties of Glass Beads Media and Their Main () Hysteresis Loops¹

ABSTRACT

A main hysteresis loop in the volumetric water content ()-suction () relation was determined experimentally for each of seven narrow size fractions of glass beads.

Geometrical properties of these media were separately obtained with a Purcell apparatus based on mercury intrusion. A linear relation between the mean radius of beads and the mean radius of pores was established. A computational model was established to relate the main hysteresis loops of porous media to their geometrical properties. As a consequence a diagram expressed in nondimensional variables * and * is proposed to predict the main hysteresis loop of a similar porous medium whose geometrical properties are deduced by similitude from one of the explored fractions.

¹ Contribution from the Third World Office and the Agricultural Engineering Department of the University of Louvain.

² Professor of Hydraulics, University of Tunis, and Professor of Soil Physics, Department of Génie Rural, University of Louvain, B – 1348 Louvain-la-Neuve, Belgium, respectively.

Received for publication February 27, 1978. Accepted for publication March 20, 1979.

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