Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory

Xiaohui Chen, William Pao, Xikui Li

    Research output: Contribution to journal › Article

    11 Citations (Scopus)

    Abstract

    A coupled formulation based on non-equilibrium thermodynamics, Biot’s elasticity is derived to model thermal-osmotic flow in very low permeability rock. Darcy’s law has been modified by incorporating thermal effects from the dissipation process by using standard arguments of non-equilibrium thermodynamics. The relationship of chemical potential of water and pore water pressure has been analysed. Helmholtz free energy is used to construct the structure of the mechanics model. The derived coupled equations can be validated by comparing with those from Mechanics approach. Finally, finite elements are used to solve the governing equations. The numerical results show the thermal-osmosis has an important effect on water transport in very low permeability porous media.
    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalInternational Journal of Engineering Science
    Volume64
    Early online date23 Jan 2013
    DOIs
    Publication statusPublished - Mar 2013

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    osmosis
    mechanics
    thermodynamics
    permeability
    temperature effect
    elasticity
    porous medium
    dissipation
    porewater
    water
    rock
    energy
    effect
    chemical

    Cite this

    Chen, Xiaohui ; Pao, William ; Li, Xikui. / Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory. In: International Journal of Engineering Science. 2013 ; Vol. 64. pp. 1-13.
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    title = "Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory",
    abstract = "A coupled formulation based on non-equilibrium thermodynamics, Biot’s elasticity is derived to model thermal-osmotic flow in very low permeability rock. Darcy’s law has been modified by incorporating thermal effects from the dissipation process by using standard arguments of non-equilibrium thermodynamics. The relationship of chemical potential of water and pore water pressure has been analysed. Helmholtz free energy is used to construct the structure of the mechanics model. The derived coupled equations can be validated by comparing with those from Mechanics approach. Finally, finite elements are used to solve the governing equations. The numerical results show the thermal-osmosis has an important effect on water transport in very low permeability porous media.",
    author = "Xiaohui Chen and William Pao and Xikui Li",
    year = "2013",
    month = "3",
    doi = "10.1016/j.ijengsci.2012.12.005",
    language = "English",
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    Chen, X, Pao, W & Li, X 2013, 'Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory', International Journal of Engineering Science, vol. 64, pp. 1-13. https://doi.org/10.1016/j.ijengsci.2012.12.005

    Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory. / Chen, Xiaohui; Pao, William; Li, Xikui.

    In: International Journal of Engineering Science, Vol. 64, 03.2013, p. 1-13.

    Research output: Contribution to journal › Article

    TY - JOUR

    T1 - Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory

    AU - Chen, Xiaohui

    AU - Pao, William

    AU - Li, Xikui

    PY - 2013/3

    Y1 - 2013/3

    N2 - A coupled formulation based on non-equilibrium thermodynamics, Biot’s elasticity is derived to model thermal-osmotic flow in very low permeability rock. Darcy’s law has been modified by incorporating thermal effects from the dissipation process by using standard arguments of non-equilibrium thermodynamics. The relationship of chemical potential of water and pore water pressure has been analysed. Helmholtz free energy is used to construct the structure of the mechanics model. The derived coupled equations can be validated by comparing with those from Mechanics approach. Finally, finite elements are used to solve the governing equations. The numerical results show the thermal-osmosis has an important effect on water transport in very low permeability porous media.

    AB - A coupled formulation based on non-equilibrium thermodynamics, Biot’s elasticity is derived to model thermal-osmotic flow in very low permeability rock. Darcy’s law has been modified by incorporating thermal effects from the dissipation process by using standard arguments of non-equilibrium thermodynamics. The relationship of chemical potential of water and pore water pressure has been analysed. Helmholtz free energy is used to construct the structure of the mechanics model. The derived coupled equations can be validated by comparing with those from Mechanics approach. Finally, finite elements are used to solve the governing equations. The numerical results show the thermal-osmosis has an important effect on water transport in very low permeability porous media.

    U2 - 10.1016/j.ijengsci.2012.12.005

    DO - 10.1016/j.ijengsci.2012.12.005

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    JF - International Journal of Engineering Science

    SN - 1879-2197

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    Chen X, Pao W, Li X. Coupled thermo-hydro-mechanical model with consideration of thermal-osmosis based on modified mixture theory. International Journal of Engineering Science. 2013 Mar;64:1-13. https://doi.org/10.1016/j.ijengsci.2012.12.005

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