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    The kinetics of ice-lens growth in porous media

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    Type
    Article
    Authors
    Style, Robert W.
    Peppin, Stephen S. L.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2012-01-09
    Online Publication Date
    2012-01-09
    Print Publication Date
    2012-02
    Permanent link to this record
    http://hdl.handle.net/10754/599928
    
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    Abstract
    Abstract We analyse the growth rate of segregated ice (ice lenses) in freezing porous media. For typical colloidal materials such as soils we show that the commonly employed Clapeyron equation is not valid macroscopically at the interface between the ice lens and the surrounding porous medium owing to the viscous dynamics of flow in premelted films. The flow in these films gives rise to an 'interfacial resistance' to flow towards the growing ice which causes a significant drop in predicted ice-growth (heave) rates. This explains why many previous models predict ice-growth rates that are much larger than those seen in experiments. We derive an explicit formula for the ice-growth rate in a given porous medium, and show that this only depends on temperature and on the external pressures imposed on the freezing system. This growth-rate formula contains a material-specific function which can be calculated (with knowledge of the geometry and material of the porous medium), but which is also readily experimentally measurable. We apply the formula to plate-like particles, and show that the results can be matched with previous experimental data. Finally we show how the interfacial resistance explains the observation that the maximum heave rate in soils occurs in medium-grained particles such as silts, while heave rates are smaller for fine-and coarse-grained particles. © 2012 Cambridge University Press.
    Citation
    Style RW, Peppin SSL (2012) The kinetics of ice-lens growth in porous media. Journal of Fluid Mechanics 692: 482–498. Available: http://dx.doi.org/10.1017/jfm.2011.545.
    Sponsors
    This publication was based on work supported by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    Cambridge University Press (CUP)
    Journal
    Journal of Fluid Mechanics
    DOI
    10.1017/jfm.2011.545
    ae974a485f413a2113503eed53cd6c53
    10.1017/jfm.2011.545
    Scopus Count
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    Publications Acknowledging KAUST Support

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