Constitutive unsaturated hydro-mechanical model based on modified mixture theory with consideration of hydration swelling

Xiaohui Chen

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    This paper has extended modified mixture theory with consideration of hydration swelling in unsaturated rock. By using non-equilibrium thermodynamics and Biot elasticity, a fully coupled formulation including hydration swelling term is derived. Standard arguments of non-equilibrium thermodynamics are used to derive the Darcy’s law for unsaturated flow. Helmholtz free energy has been used to give the relationship between the stress and pore pressure. The chemical potential of water in pore space and clay platelets has been included in the analysis of water sensitive materials such as shale. Finally, a simple numerical example has been presented for illustrative purpose, the results show that the swelling parameter has a strong influence on stress and strain.
    Original languageEnglish
    Pages (from-to)3266-3273
    Number of pages8
    JournalInternational Journal of Solids and Structures
    Volume50
    Issue number20-21
    Early online date7 Jun 2013
    DOIs
    Publication statusPublished - 1 Oct 2013

    Fingerprint

    Mixture Theory
    Hydration
    Swelling
    swelling
    hydration
    Non-equilibrium Thermodynamics
    nonequilibrium thermodynamics
    Model-based
    Thermodynamics
    porosity
    Water
    Platelets
    Chemical potential
    Pore pressure
    Hermann Von Helmholtz
    Chemical Potential
    Shale
    platelets
    water
    Free energy

    Cite this

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    abstract = "This paper has extended modified mixture theory with consideration of hydration swelling in unsaturated rock. By using non-equilibrium thermodynamics and Biot elasticity, a fully coupled formulation including hydration swelling term is derived. Standard arguments of non-equilibrium thermodynamics are used to derive the Darcy’s law for unsaturated flow. Helmholtz free energy has been used to give the relationship between the stress and pore pressure. The chemical potential of water in pore space and clay platelets has been included in the analysis of water sensitive materials such as shale. Finally, a simple numerical example has been presented for illustrative purpose, the results show that the swelling parameter has a strong influence on stress and strain.",
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    Constitutive unsaturated hydro-mechanical model based on modified mixture theory with consideration of hydration swelling. / Chen, Xiaohui.

    In: International Journal of Solids and Structures, Vol. 50, No. 20-21, 01.10.2013, p. 3266-3273.

    Research output: Contribution to journalArticle

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    N2 - This paper has extended modified mixture theory with consideration of hydration swelling in unsaturated rock. By using non-equilibrium thermodynamics and Biot elasticity, a fully coupled formulation including hydration swelling term is derived. Standard arguments of non-equilibrium thermodynamics are used to derive the Darcy’s law for unsaturated flow. Helmholtz free energy has been used to give the relationship between the stress and pore pressure. The chemical potential of water in pore space and clay platelets has been included in the analysis of water sensitive materials such as shale. Finally, a simple numerical example has been presented for illustrative purpose, the results show that the swelling parameter has a strong influence on stress and strain.

    AB - This paper has extended modified mixture theory with consideration of hydration swelling in unsaturated rock. By using non-equilibrium thermodynamics and Biot elasticity, a fully coupled formulation including hydration swelling term is derived. Standard arguments of non-equilibrium thermodynamics are used to derive the Darcy’s law for unsaturated flow. Helmholtz free energy has been used to give the relationship between the stress and pore pressure. The chemical potential of water in pore space and clay platelets has been included in the analysis of water sensitive materials such as shale. Finally, a simple numerical example has been presented for illustrative purpose, the results show that the swelling parameter has a strong influence on stress and strain.

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    DO - 10.1016/j.ijsolstr.2013.05.025

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    JO - International Journal of Solids and Structures

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