Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow

M. Holzner, Veronica L. Morales, M. Willmann, M. Dentz

    Research output: Contribution to journalArticle

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    Abstract

    Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors.
    Original languageEnglish
    Article number013015
    JournalPhysical Review E: statistical, nonlinear, and soft matter physics
    Volume92
    Issue number1
    DOIs
    Publication statusPublished - 17 Jul 2015

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    porous medium
    low flow
    connectivity
    turbulence
    geometry
    fluid
    distribution
    particle

    Cite this

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    title = "Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow",
    abstract = "Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors.",
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    Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow. / Holzner, M.; Morales, Veronica L.; Willmann, M.; Dentz, M.

    In: Physical Review E: statistical, nonlinear, and soft matter physics, Vol. 92, No. 1, 013015, 17.07.2015.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow

    AU - Holzner, M.

    AU - Morales, Veronica L.

    AU - Willmann, M.

    AU - Dentz, M.

    PY - 2015/7/17

    Y1 - 2015/7/17

    N2 - Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors.

    AB - Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors.

    U2 - 10.1103/PhysRevE.92.013015

    DO - 10.1103/PhysRevE.92.013015

    M3 - Article

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    JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

    JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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