Analytical Model for Transport of Dilute Colloidal Silica Dispersions through Porous Media
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VIEW THE REPLYPublication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 11
Abstract
The purpose of this paper is to present a simple analytical model to describe the flow of a dilute colloidal silica dispersion through a porous medium column. The model presents the movement with time of the interface between the dispersion and the water it displaces, the velocity of the interface, and the time-varying discharge through the medium. The effects of both viscosity difference and density difference of the displacing dispersion are included. Results of the model compare favorably with measurements of flow through sand columns 0.914 and 3.05 m long. The viscosities of the dispersions were approximately twice those of the water they displaced and the density was about 8.3% higher. The model is expanded by using a numerical scheme to predict the interface velocity for dispersions having linear and exponential time-varying viscosities.
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Acknowledgments
The authors wish to thank the anonymous reviewer of an earlier version of this paper who pointed out the relative importance of the density difference between the colloidal dispersion and the water it displaces. The critique resulted in significant modification of the paper to include density differences in addition to viscosity differences.
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©2018 American Society of Civil Engineers.
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Received: Jan 25, 2018
Accepted: May 17, 2018
Published online: Aug 31, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 31, 2019
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