Frost Heave in Colloidal Soils

Type
Article

Authors
Peppin, Stephen
Majumdar, Apala
Style, Robert
Sander, Graham

KAUST Grant Number
KUK-C1-013-04

Date
2011-01

Abstract
We develop a mathematical model of frost heave in colloidal soils. The theory accountsfor heave and consolidation while not requiring a frozen fringe assumption. Two solidificationregimes occur: a compaction regime in which the soil consolidates to accommodate the ice lenses, and a heave regime during which liquid is sucked into the consolidated soil from an external reservoir, and the added volume causes the soil to heave. The ice fraction is found to vary inversely with thefreezing velocity V , while the rate of heave is independent of V , consistent with field and laboratoryobservations. © 2011 Society for Industrial and Applied Mathematics.

Citation
Peppin S, Majumdar A, Style R, Sander G (2011) Frost Heave in Colloidal Soils. SIAM Journal on Applied Mathematics 71: 1717–1732. Available: http://dx.doi.org/10.1137/100788197.

Acknowledgements
This research was supported by the King Abdullah University of Science and Technology (KAUST) award KUK-C1-013-04.

Publisher
Society for Industrial & Applied Mathematics (SIAM)

Journal
SIAM Journal on Applied Mathematics

DOI
10.1137/100788197

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