Macroscale balance relations for bulk interfacial and common line systems in multiphase flows through porous media on the basis of molecular considerations

A.I. Murdoch, S.M. Hassanizadeh

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    13 Citations (Scopus)

    Abstract

    A new molecular-based approach is employed to derive balance relations for multiphase flow through porous media. Criteria are prescribed which identify, instant by instant, precisely which molecules are considered to reside in each bulk, interfacial, and contact line phase. Continuum balance relations for mass, momentum and energy are established for each of these phases (which consist of ever-changing molecular populations) at the scale of representative elementary volumes (REVs). All fields in these balance relations are related to space-time averages of molecular quantities, and complete account is taken of molecular transport within and between phases. This is a one-step procedure, as opposed to the two-step approach commonly used in averaging (first going from molecular scale to an intermediate scale, at which common lines, interfaces and pore geometry are manifest, and thence to a macro/REV-scale). In this way consideration of 'excess' quantities is avoided. Simplifications and constitutive considerations are discussed.
    LanguageEnglish
    Pages1091-1123
    Number of pages32
    JournalInternational Journal of Multiphase Flow
    Volume28
    Issue number7
    DOIs
    Publication statusPublished - Jul 2002

    Fingerprint

    multiphase flow
    Multiphase flow
    Macros
    Porous materials
    Momentum
    Molecules
    Geometry
    simplification
    continuums
    porosity
    momentum
    geometry
    molecules
    energy

    Keywords

    • porous media
    • interfaces
    • common lines
    • weighted molecular averages

    Cite this

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    abstract = "A new molecular-based approach is employed to derive balance relations for multiphase flow through porous media. Criteria are prescribed which identify, instant by instant, precisely which molecules are considered to reside in each bulk, interfacial, and contact line phase. Continuum balance relations for mass, momentum and energy are established for each of these phases (which consist of ever-changing molecular populations) at the scale of representative elementary volumes (REVs). All fields in these balance relations are related to space-time averages of molecular quantities, and complete account is taken of molecular transport within and between phases. This is a one-step procedure, as opposed to the two-step approach commonly used in averaging (first going from molecular scale to an intermediate scale, at which common lines, interfaces and pore geometry are manifest, and thence to a macro/REV-scale). In this way consideration of 'excess' quantities is avoided. Simplifications and constitutive considerations are discussed.",
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    AU - Hassanizadeh, S.M.

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    N2 - A new molecular-based approach is employed to derive balance relations for multiphase flow through porous media. Criteria are prescribed which identify, instant by instant, precisely which molecules are considered to reside in each bulk, interfacial, and contact line phase. Continuum balance relations for mass, momentum and energy are established for each of these phases (which consist of ever-changing molecular populations) at the scale of representative elementary volumes (REVs). All fields in these balance relations are related to space-time averages of molecular quantities, and complete account is taken of molecular transport within and between phases. This is a one-step procedure, as opposed to the two-step approach commonly used in averaging (first going from molecular scale to an intermediate scale, at which common lines, interfaces and pore geometry are manifest, and thence to a macro/REV-scale). In this way consideration of 'excess' quantities is avoided. Simplifications and constitutive considerations are discussed.

    AB - A new molecular-based approach is employed to derive balance relations for multiphase flow through porous media. Criteria are prescribed which identify, instant by instant, precisely which molecules are considered to reside in each bulk, interfacial, and contact line phase. Continuum balance relations for mass, momentum and energy are established for each of these phases (which consist of ever-changing molecular populations) at the scale of representative elementary volumes (REVs). All fields in these balance relations are related to space-time averages of molecular quantities, and complete account is taken of molecular transport within and between phases. This is a one-step procedure, as opposed to the two-step approach commonly used in averaging (first going from molecular scale to an intermediate scale, at which common lines, interfaces and pore geometry are manifest, and thence to a macro/REV-scale). In this way consideration of 'excess' quantities is avoided. Simplifications and constitutive considerations are discussed.

    KW - porous media

    KW - interfaces

    KW - common lines

    KW - weighted molecular averages

    UR - http://dx.doi.org/10.1016/S0301-9322(02)00021-6

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