Frost heave in colloidal soils

Stephen Peppin, A Majumdar, Robert Style, Graham Sander

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We develop a mathematical model of frost heave in colloidal soils. The theory accounts for heave and consolidation while not requiring a frozen fringe assumption. Two solidification regimes 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 the freezing velocity V, while the rate of heave is independent of V, consistent with field and laboratory observations.

Original languageEnglish
Pages (from-to)1717-1732
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume71
Issue number5
Early online date22 Sep 2011
DOIs
Publication statusPublished - 2011

Fingerprint

Soil
Soils
Ice
Compaction
Consolidation
Freezing
Solidification
Lens
Lenses
Vary
Liquid
Mathematical Model
Mathematical models
Liquids

Cite this

Peppin, S., Majumdar, A., Style, R., & Sander, G. (2011). Frost heave in colloidal soils. SIAM Journal on Applied Mathematics, 71(5), 1717-1732. https://doi.org/10.1137/100788197

Frost heave in colloidal soils. / Peppin, Stephen; Majumdar, A; Style, Robert; Sander, Graham.

In: SIAM Journal on Applied Mathematics, Vol. 71, No. 5, 2011, p. 1717-1732.

Research output: Contribution to journalArticle

Peppin, S, Majumdar, A, Style, R & Sander, G 2011, 'Frost heave in colloidal soils', SIAM Journal on Applied Mathematics, vol. 71, no. 5, pp. 1717-1732. https://doi.org/10.1137/100788197
Peppin S, Majumdar A, Style R, Sander G. Frost heave in colloidal soils. SIAM Journal on Applied Mathematics. 2011;71(5):1717-1732. https://doi.org/10.1137/100788197
Peppin, Stephen ; Majumdar, A ; Style, Robert ; Sander, Graham. / Frost heave in colloidal soils. In: SIAM Journal on Applied Mathematics. 2011 ; Vol. 71, No. 5. pp. 1717-1732.
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