Frost Heave in Colloidal Soils

Stephen Peppin; Apala Majumdar; Robert Style; Graham Sander

doi:10.1137/100788197

Frost Heave in Colloidal Soils

Stephen Peppin, Apala Majumdar, Robert Style, Graham Sander

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1717-1732
Number of pages	16
Journal	SIAM Journal on Applied Mathematics
Volume	71
Issue number	5
DOIs	https://doi.org/10.1137/100788197
State	Published - Jan 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST) award KUK-C1-013-04.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1137/100788197

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title = "Frost Heave in Colloidal Soils",

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. {\textcopyright} 2011 Society for Industrial and Applied Mathematics.",

author = "Stephen Peppin and Apala Majumdar and Robert Style and Graham Sander",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST) award KUK-C1-013-04. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2011",

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doi = "10.1137/100788197",

language = "English (US)",

volume = "71",

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AU - Peppin, Stephen

AU - Majumdar, Apala

AU - Style, Robert

AU - Sander, Graham

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST) award KUK-C1-013-04. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

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JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 5

ER -

Frost Heave in Colloidal Soils

Abstract

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