Upscaling polydispersed particle transport in porous media using pore network model

Won, Jongmuk; Lee, Junghwoon; Burns, Susan E.

doi:10.1007/s11440-020-01038-z

Cited by 8 publications

(1 citation statement)

References 35 publications

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“…Krehel et al (2015) studied the upscaling of a discrete number of particle sizes and derived upscaled equations in the assumption of slow aggregation kinetics. Several other authors (Won et al 2021;Boccardo et al 2019;Seetha et al 2017) have studied the effect of poly-dispersity on transport and retention in porous media without including explicitly the particulate processes. Bedrikovetsky (2008) and subsequent works from the same authors developed micro-and macro-models based on discrete PBE concepts to explain various porous media phenomena but with no direct link to the pore-scale solution.…”

Section: Introductionmentioning

confidence: 99%

Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events

et al. 2022

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Transport and particulate processes are ubiquitous in environmental, industrial and biological applications, often involving complex geometries and porous media. In this work we present a general population balance model for particle transport at the pore-scale, including aggregation, breakage and surface deposition. The various terms in the equations are analysed with a dimensional analysis, including a novel collision-induced breakage mechanism, and split into one- and two-particles processes. While the first are linear processes, they might both depend on local flow properties (e.g. shear). This means that the upscaling (via volume averaging and homogenisation) to a macroscopic (Darcy-scale) description requires closures assumptions. We discuss this problem and derive an effective macroscopic term for the shear-induced events, such as breakage caused by shear forces on the transported particles. We focus on breakage events as prototype for linear shear-induced events and derive upscaled breakage frequencies in periodic geometries, starting from nonlinear power-law dependence on the local fluid shear rate. Results are presented for a two-dimensional channel flow and a three dimensional regular arrangement of spheres, for arbitrarily fast (mixing-limited) events. Implications for linearised shear-induced collisions are also discussed. This work lays the foundations of a new general framework for multiscale modelling of particulate flows.

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