Multiscale modeling of colloidal dynamics in porous media including aggregation and deposition
Krehel O, Muntean A, Knabner P (2015)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Journal
Publisher: Elsevier
Book Volume: 86
Pages Range: 209-216
Journal Issue: Part A
DOI: 10.1016/j.advwatres.2015.10.005
Abstract
We investigate the influence of aggregation and deposition on the colloidal dynamics in a saturated porous medium. On the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal mass splits into different size clusters and we treat clusters as different species involved in a diffusion-reaction mechanism. This modeling procedure allows for different material properties to be varied between the different species, specifically the diffusion rate, which changes due to size as described by the Stokes-Einstein relation, and the deposition rate. The periodic homogenization procedure is applied to obtain a macroscopic model. The resulting model is illustrated by numerical computations that capture the colloidal transport with and without aggregation.
Authors with CRIS profile
Oleh Krehel
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Peter Knabner
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Involved external institutions
Sweden (SE)How to cite
APA:
Krehel, O., Muntean, A., & Knabner, P. (2015). Multiscale modeling of colloidal dynamics in porous media including aggregation and deposition. Advances in Water Resources, 86(Part A), 209-216. https://doi.org/10.1016/j.advwatres.2015.10.005
MLA:
Krehel, Oleh, Adrian Muntean, and Peter Knabner. "Multiscale modeling of colloidal dynamics in porous media including aggregation and deposition." Advances in Water Resources 86.Part A (2015): 209-216.
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