Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

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    Abstract

    The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.
    LanguageEnglish
    Pages351-373
    Number of pages23
    JournalJournal of Fluid Mechanics
    Volume343
    DOIs
    StatePublished - 1997

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    liquid-gas mixtures
    Wave propagation
    Porous materials
    wave propagation
    bubbles
    Liquids
    Gases
    gases
    Experiments
    compressibility
    Compressibility
    pressure oscillations
    wave reflection
    Acoustic wave propagation
    gas dynamics
    shock tubes
    supersaturation
    Shock tubes
    Gas dynamics
    Supersaturation

    Cite this

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    title = "Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments",
    abstract = "The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.",
    author = "D.M.J. Smeulders and {Dongen, van}, M.E.H.",
    year = "1997",
    doi = "10.1017/S0022112097005983",
    language = "English",
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    journal = "Journal of Fluid Mechanics",
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    Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments. / Smeulders, D.M.J.; Dongen, van, M.E.H.

    In: Journal of Fluid Mechanics, Vol. 343, 1997, p. 351-373.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

    AU - Smeulders,D.M.J.

    AU - Dongen, van,M.E.H.

    PY - 1997

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    N2 - The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.

    AB - The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.

    U2 - 10.1017/S0022112097005983

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    M3 - Article

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    JO - Journal of Fluid Mechanics

    T2 - Journal of Fluid Mechanics

    JF - Journal of Fluid Mechanics

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