2005
DOI: 10.1063/1.2103467
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Filtration of micron-sized particles in granular media revealed by x-ray computed tomography

Abstract: We investigate the deep-bed filtration of micron-sized hematite particles suspended in distilled water during flow in siliceous granular porous media, where particle retention is mostly due to surface ͑van der Waals and electrostatic͒ interactions. We show that x-ray computed tomography enables three-dimensional images of the filtration process to be generated. The one-dimensional filtrate concentration profiles obtained by averaging the images over sections perpendicular to the flow direction are rapidly deca… Show more

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Cited by 33 publications
(18 citation statements)
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“…The deep‐bed‐filtration formula is assumed for the polymer‐entrapment rate, that is, the polymer‐capture rate is proportional to the dispersion‐free polymer flux cu [ Maerker , ; Szabo , ,; Huh et al ., ; Zhang and Seright , ; Yerramilli et al ., ; McDowell‐Boyer et al ., ; Lotfollahi et al ., ]. The proportionality coefficient is the filtration coefficient , in accordance with the experimental data [ Sim and Chrysikopoulos , ; Bold et al ., ; Al‐Abduwani et al ., ; Vaz et al ., ]. The normalized inverse permeability k (0,0)/ k ( ĉ,σ ) is a monotonically increasing function of the sum of the sorbed and the entrapped concentrations ĉ and σ ; its first partial derivatives with respect to c and σ are called the resistance or the permeability‐reduction ( R ) factor and the formation‐damage coefficient ( β ), respectively.…”
Section: Analytical Model For Polymer Flow With Retention and Adsorptionmentioning
confidence: 99%
“…The deep‐bed‐filtration formula is assumed for the polymer‐entrapment rate, that is, the polymer‐capture rate is proportional to the dispersion‐free polymer flux cu [ Maerker , ; Szabo , ,; Huh et al ., ; Zhang and Seright , ; Yerramilli et al ., ; McDowell‐Boyer et al ., ; Lotfollahi et al ., ]. The proportionality coefficient is the filtration coefficient , in accordance with the experimental data [ Sim and Chrysikopoulos , ; Bold et al ., ; Al‐Abduwani et al ., ; Vaz et al ., ]. The normalized inverse permeability k (0,0)/ k ( ĉ,σ ) is a monotonically increasing function of the sum of the sorbed and the entrapped concentrations ĉ and σ ; its first partial derivatives with respect to c and σ are called the resistance or the permeability‐reduction ( R ) factor and the formation‐damage coefficient ( β ), respectively.…”
Section: Analytical Model For Polymer Flow With Retention and Adsorptionmentioning
confidence: 99%
“…In the third and final case both build-up of the external filter cake are likely to occur simultaneously. This latter case is complex but its characteristic features can be discerned by examining the idealized situation in which the particles size distribution is bi-modal with two distinct and narrow peaks: one corresponding to particles all larger than pore size leading exclusively to an external cake according to (1) and the other corresponding to particles all small than the pores in the formed external filter cake. Below the focus will be on the first case and analysis will thus be limited to the expressions of the leak-volumes versus time for different initial core saturations.…”
Section: Problem Statementmentioning
confidence: 99%
“…No attempts have been made to measure the deposition profile along a core prior to this work, as far as the authors are aware. This article presents a novel experimental technique for the quantification of the deposition profile along a sandstone core post-mortem, and is the foundation of further work 17 in which multiple online measurements of the deposition profile can be obtained. Such data, along with the effluent concentration profile and pressure measurements along the core can be used to verify and test the different models in a far more rigorous manner than has been done previously.…”
Section: Introductionmentioning
confidence: 99%