4.7 Article

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

Journal

PHYSICAL REVIEW E
Volume 92, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.013015

Keywords

-

Funding

  1. Swiss National Science Foundation (SNF) [144645]
  2. Marie Curie International Incoming Fellowships (FP7-PEOPLE-SoilArchnAg) [302251]
  3. European Research Council (ERC project MHetScale) [617511]
  4. European Research Council (ERC) [617511] Funding Source: European Research Council (ERC)

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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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