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Related Experiment Videos

Flow through percolation clusters: NMR velocity mapping and numerical simulation study.

A Klemm1, R Kimmich, M Weber

  • 1Sektion Kernresonanzspektroskopie, Universität Ulm, 89069 Ulm, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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Researchers fabricated 2D and 3D percolation objects using Monte Carlo methods. Nuclear Magnetic Resonance (NMR) imaging and velocity mapping revealed transport properties, confirming simulation reliability.

Area of Science:

  • Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Percolation theory describes the formation of connected clusters in random systems.
  • Understanding transport phenomena in porous media is crucial for various applications.
  • Previous studies lacked detailed experimental validation of transport in complex percolation structures.

Purpose of the Study:

  • To fabricate and characterize 2D and 3D percolation objects.
  • To investigate water transport through the pore space using advanced Nuclear Magnetic Resonance (NMR) techniques.
  • To compare experimental findings with computational simulations.

Main Methods:

  • Fabrication of percolation objects (up to 12 cm) using Monte Carlo templates (random site, swiss-cheese, inverse swiss-cheese models).

Related Experiment Videos

  • Investigation of water-filled pore space using NMR imaging and NMR velocity mapping under a pressure gradient.
  • Analysis of fractal dimension, correlation length, and percolation probability from templates and NMR data.
  • Determination of percolation backbones and volume-averaged velocity scaling.

    • Main Results:

    • NMR imaging and velocity mapping successfully characterized the pore space and flow dynamics.
    • Fractal dimension of percolation backbones was found to be smaller than that of the complete cluster.
    • A novel power-law dependence of volume-averaged velocity on probe volume radius was observed.
    • Experimental results closely matched Finite-Element Method (FEM) and Finite-Volume Method (FVM) simulations.

    Conclusions:

    • NMR microimaging is a reliable tool for studying transport in percolation clusters.
    • FEM/FVM simulations accurately predict transport features in these complex structures.
    • The study provides new insights into scaling laws governing fluid transport in disordered porous media.