Multiscale modeling of colloidal dynamics in porous media : capturing aggregation and deposition effects

O. Krehel, A. Muntean, P. Knabner

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Abstract

We investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal mass is distributed between different size clusters. We treat these clusters as different species involved in a diffusion-advection-reaction mechanism. This modeling procedure allows for different material properties to be varied between the different species, specifically the rates of diffusion, aggregation, deposition as well as the advection velocities. We apply the periodic homogenization procedure to give insight into the effective coefficients of the upscaled model equations. Benefiting from direct access to microstructural information, we capture by means of 2D numerical simulations the effect of aggregation on the deposition rates recovering this way both the blocking and ripening regimes reported in the literature.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages20
Publication statusPublished - 2014

Publication series

NameCASA-report
Volume1412
ISSN (Print)0926-4507

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    Krehel, O., Muntean, A., & Knabner, P. (2014). Multiscale modeling of colloidal dynamics in porous media : capturing aggregation and deposition effects. (CASA-report; Vol. 1412). Technische Universiteit Eindhoven.