A constitutive model based on modified mixture theory for unsaturated rocks

Xiaohui Chen, Michael A. Hicks

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Non-equilibrium thermodynamics and Biot poro-elasticity have been combined to give a coupled hydro-mechanical formulation for unsaturated rock. Darcy’s law for unsaturated flow has been derived from the dissipation process by using standard arguments of non-equilibrium thermodynamics, whereas Helmholtz free energy has been used to derive the relationship between stress and pore pressure changes. The resulting general framework accommodates both large and small deformation theories. When small deformations are assumed, the formulation is comparable with coupled equations derived using an alternative approach. For illustrative purposes, the formulation has been used to analyse a seasonally affected tunnel model. Numerical results for the desaturation in winter and resaturation in summer, of the zone near the tunnel wall, have been evaluated and compared with the findings of other researchers.
Original languageEnglish
Pages (from-to)925-933
Number of pages9
JournalComputers and Geotechnics
Volume38
Issue number8
DOIs
Publication statusPublished - Dec 2011
Externally publishedYes

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Constitutive models
Tunnels
tunnel
thermodynamics
Rocks
Thermodynamics
unsaturated flow
Pore pressure
rock
pore pressure
Free energy
elasticity
dissipation
Elasticity
winter
summer
energy

Cite this

Chen, Xiaohui ; Hicks, Michael A. / A constitutive model based on modified mixture theory for unsaturated rocks. In: Computers and Geotechnics. 2011 ; Vol. 38, No. 8. pp. 925-933.
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A constitutive model based on modified mixture theory for unsaturated rocks. / Chen, Xiaohui; Hicks, Michael A.

In: Computers and Geotechnics, Vol. 38, No. 8, 12.2011, p. 925-933.

Research output: Contribution to journalArticle

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AU - Hicks, Michael A.

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AB - Non-equilibrium thermodynamics and Biot poro-elasticity have been combined to give a coupled hydro-mechanical formulation for unsaturated rock. Darcy’s law for unsaturated flow has been derived from the dissipation process by using standard arguments of non-equilibrium thermodynamics, whereas Helmholtz free energy has been used to derive the relationship between stress and pore pressure changes. The resulting general framework accommodates both large and small deformation theories. When small deformations are assumed, the formulation is comparable with coupled equations derived using an alternative approach. For illustrative purposes, the formulation has been used to analyse a seasonally affected tunnel model. Numerical results for the desaturation in winter and resaturation in summer, of the zone near the tunnel wall, have been evaluated and compared with the findings of other researchers.

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