Extending Applicability of Correlation Equations to Predict Colloidal Retention in Porous Media at Low Fluid Velocity

In this work, we analyzed causes for a recently noted shortcoming of filtration models, which is to predict collector efficiencies greater than unity under low fluid velocity conditions. For Eulerian flux approaches, both the underlying mechanistic model and the correlation equation used to export m...

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Bibliographic Details
Published in:Environmental science & technology 2013-03, Vol.47 (5), p.2272-2278
Main Authors: Ma, Huilian, Hradisky, Michal, Johnson, William P
Format: Article
Language:English
Subjects:
Chemistry
Colloidal state and disperse state
Colloids - chemistry
Correlation analysis
Eulers equations
Exact sciences and technology
Filtration - methods
Flow velocity
Fluid mechanics
General and physical chemistry
Mathematical models
Models, Theoretical
Physical and chemical studies. Granulometry. Electrokinetic phenomena
Porosity
Porous materials
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Summary:In this work, we analyzed causes for a recently noted shortcoming of filtration models, which is to predict collector efficiencies greater than unity under low fluid velocity conditions. For Eulerian flux approaches, both the underlying mechanistic model and the correlation equation used to export model results may contribute to this error. For particle trajectory approaches, the error results solely from the correlation equation, not from the underlying mechanistic model, making correction a relatively simple endeavor. Whereas a fitted saturation factor was recently used in a correlation equation to try to force collector efficiencies to remain below unity, we herein develop a different saturation factor based on classic mass transfer relationships to extend the applicability of our correlation equation to low fluid velocities.
ISSN:0013-936X
1520-5851
DOI:10.1021/es304753r