
doi: 10.1137/0149060
Summary: A mathematical model of secondary frost heave in freezing, gravelly soils is presented. This model is due to \textit{K. O'Neill} and \textit{R. D. Miller} [Water. Resour. Res., 21, 281-296 (1985)], who sought numerical solutions. Here, their model is made nondimensional and is analyzed using asymptotic analysis. Based on the successive formation of ice lenses within the partially frozen fringe, a heave criterion for such soils is deduced.
freezing, gravelly soils, Flows in porous media; filtration; seepage, ice lensing, Multiphase and multicomponent flows, Asymptotic expansions of solutions to PDEs, asymptotic analysis, secondary frost, mushy zone, Soil and rock mechanics, reactive two-phase media, frost heave, Geological problems
freezing, gravelly soils, Flows in porous media; filtration; seepage, ice lensing, Multiphase and multicomponent flows, Asymptotic expansions of solutions to PDEs, asymptotic analysis, secondary frost, mushy zone, Soil and rock mechanics, reactive two-phase media, frost heave, Geological problems
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