Estimation of the hindered settling function <i>R</i>(ϕ) from batch‐settling tests

Lester, Daniel; Usher, Shane P.; Scales, Peter J.

doi:10.1002/aic.10333

Cited by 85 publications

(64 citation statements)

References 23 publications

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“…It is well known that solutions of hyperbolic equations admit the possibility of discontinuities or 'shocks' (Grassia et al 2008bKynch 1952;Lester et al 2005;Lighthill & Whitham 1955;Renardy & Rogers 2004;Rossen & Bruining 2007;Zanganeh et al 2011). Indeed we have already had cause to mention shocks earlier (in Section 1) in the context of the so called fractional flow theory (Ashoori et al 2010;Rossen et al 1999;Zhou & Rossen 1995), which admits a jump in liquid fraction (between liquid and foam) across a front advancing through the reservoir.…”

Section: The Quasi-static Soap Frothmentioning

confidence: 99%

Analysis of a model for foam improved oil recovery

et al. 2014

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(Received ?; revised ?; accepted ?. -To be entered by editorial office)During improved oil recovery, gas may be introduced into a porous reservoir filled with surfactant solution in order to form foam. A model for the evolution of the resulting foam front known as 'pressure-driven growth' is analysed. An asymptotic solution of this model for long times is derived that shows that foam can propagate indefinitely into the reservoir without gravity override. Moreover 'pressure-driven growth' is shown to correspond to a special case of the more general 'viscous froth' model. In particular, it is a singular limit of the viscous froth, corresponding to the elimination of a surface tension term, permitting sharp corners and kinks in the predicted shape of the front. Sharp corners tend to develop from concave regions of the front. The principal solution of interest has a convex front, however, so that although this solution itself has no sharp corners (except for some kinks that develop spuriously owing to errors in a numerical scheme), it is found nevertheless to exhibit milder singularities in front curvature, as the long-time asymptotic analytical solution makes clear. Numerical schemes for the evolving front shape which perform robustly (avoiding the development of spurious kinks) are also developed. Generalisations of this solution to geologically heterogeneous reservoirs should exhibit concavities and/or sharp corner singularities as an inherent part of their evolution: propagation of fronts containing such 'inherent' singularities can be readily incorporated into these numerical schemes.

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Section: The Quasi-static Soap Frothmentioning

confidence: 99%

Analysis of a model for foam improved oil recovery

et al. 2014

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“…The critical concentration seems to be rather high for most suspensions, at least substantially larger than the inflection point, see Bürger et al (2000aBürger et al ( , 2004, Garrido et al (2000) and Lester et al (2005). In the present paper we consider only the case when the compression effect is negligible.…”

Section: Inverse Problemsmentioning

confidence: 94%

“…However, the (graphical) estimation method by Kynch of a convex part of the flux function has been the dominant one (Bueno et al, 1990;Diplas and Papanicolaou, 1997;Fitch, 1983Fitch, , 1993Font, 1988;Font et al, 1994Font et al, , 1998Font and Laveda, 2000;Talmage and Fitch, 1955;Vesilind, 1974;Waters and Galvin, 1991). In particular, Fitch (1983), Font (1988, Font et al (1994), Font and Laveda (2000) and Lester et al (2005) utilize the Kynch method when there is also compression present above a critical concentration. It is only Lester et al (2005) that present an explicit formula for the batch-settling flux function in terms of measurable variables.…”

Section: Inverse Problemsmentioning

confidence: 97%

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Estimation of the batch-settling flux function for an ideal suspension from only two experiments

Diehl

2007

Chemical Engineering Science

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“…It is important not only in its own right, but also as a technique for extracting suspension rheological properties (Kynch, 1952;Lester et al, 2005;Diehl, 2007;Stickland et al, 2008;Grassia et al, 2008Grassia et al, , 2011, these properties subsequently being used for designing other solidliquid separation devices, including continuous thickeners (Landman et al, 1988;Bürger and Concha, 1998;Bürger et al, 1999;Martin, 2004;Usher and Scales, 2005), pressure filters (Landman et al, 1995;Landman and White, 1997), or centrifuges (Berres et al, 2005;Stickland et al, 2006).…”

Section: Introductionmentioning

confidence: 99%

Mathematical modelling of batch sedimentation subject to slow aggregate densification

Zhang

Grassia

Martin

et al. 2015

Chemical Engineering Science

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This version is available at https://strathprints.strath.ac.uk/52030/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. of the batch settler. When the initial feed solids fraction is sufficiently large and/or the initial suspension is sufficiently tall, the densification process has little effect on the solids fraction observed at the bottom of the settler.

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Estimation of the hindered settling function R(ϕ) from batch‐settling tests

Cited by 85 publications

References 23 publications

Analysis of a model for foam improved oil recovery

Analysis of a model for foam improved oil recovery

Estimation of the batch-settling flux function for an ideal suspension from only two experiments

Mathematical modelling of batch sedimentation subject to slow aggregate densification

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