Colloidal Transport: Modeling the “Irreversible” attachment of colloids to porous media Summer School in Geophysical Porous Media, Purdue University July 28, 2006 Son-Young Yi, Natalie Kleinfelter, Feng Yue, Gaurav Saini, Guoping Tang, Jean E Elkhoury, Murat Hamderi, Rishi Parashar Advisors: Patricia Culligan, Timothy Ginn, Daniel Tartakovsky
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Colloidal Transport: Modeling the “Irreversible” attachment of colloids to porous media Summer School in Geophysical Porous Media, Purdue University July.
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Colloidal Transport: Modeling the “Irreversible” attachment of colloids
to porous media
Summer School in Geophysical Porous Media, Purdue University
July 28, 2006
Son-Young Yi, Natalie Kleinfelter, Feng Yue, Gaurav Saini, Guoping Tang, Jean E Elkhoury, Murat Hamderi, Rishi Parashar
Advisors: Patricia Culligan, Timothy Ginn, Daniel Tartakovsky
Jean E. Elkhoury
Grad. Student
Geophysics, UCLA
Son-Young Yi
PhD
Mathematics, Purdue
Guoping Tang
PhD
Civil Engg., Northeastern
Gaurav Saini
Grad. Student
Env. Engg., OSU
Murat Hamderi
Grad. Student
Civil Engg., Drexel
Rishi Parashar
Grad. Student
Civil Engg., Purdue
Feng Yue
Grad. Student
Civil Engg., UIUC
Natalie Kleinfelter
PhD
Mathematics, Purdue
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• Motivation• Classical Filtration Theory• Experimental Setup• Limitation of Classical Theory
• Single Population Model
• Multi Population Model • 5-population model• 2-population model
• Conclusions• Future Work
Outline
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Motivation
• Decrease in attachment rate with transport distance indicates deficiencies in classical clean-bed filtration theory.
• Modeling unique experimental dataset to explore alternative approaches to describe irreversible attachment of colloids.
• Distance dependent attachment rate constant• “Multi-population” based modeling approach.
• 2-population model approach is a potent tool when particle distribution is unknown.
• Optimized k-values found using 2-population model are of the same order as the observed values.
• A small fraction (~5%) of population having high kirr values can explain variations in kirr with transport distance.
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Conclusions
• Multi-population models capture the trend of decreasing kirr with transport distance.
• Multi-population models can be used to obtain reasonable predictions if particle population distribution is known.
• If particle population distribution is unknown, a 2-population model with optimization can be used to obtain parameters for predictions.
• In homogenized, clean bed-filters, decreases in kirr with transport distance are best explained by distributions in particle populations and not medium properties.
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Suggestions for future work
• Analysis of Reversible attachment (Srev)
• k = f (particle size, media roughness,fluid velocity)?
• Quantitative measurements of C & S (use of fluorescent bacteria…)
• Explore 1-site model with long-tail distribution functions for residence time.