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Related Experiment Videos

Trapping thresholds in invasion percolation.

Lincoln Paterson1, Adrian P Sheppard, Mark A Knackstedt

  • 1Australian Petroleum Cooperative Research Centre, CSIRO Division of Petroleum Resources, P.O. Box 3000, Glen Waverley, Vic 3150, Australia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
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Numerical simulations reveal that invasion percolation and ordinary percolation thresholds typically align on 3D lattices. However, thresholds diverge for coordination numbers below five, impacting porous rock simulations.

Area of Science:

  • Physics
  • Geology
  • Materials Science

Background:

  • Percolation theory is crucial for understanding fluid flow in porous media.
  • Invasion percolation models fluid displacement, while ordinary percolation describes random site occupation.

Purpose of the Study:

  • To numerically estimate site percolation trapping thresholds for invasion percolation on 3D lattices.
  • To compare these thresholds with those of ordinary percolation.

Main Methods:

  • Numerical simulations were performed on various three-dimensional lattices.
  • Site percolation trapping thresholds were calculated for invasion percolation.

Main Results:

  • In most cases, invasion percolation and ordinary percolation thresholds were found to coincide.

Related Experiment Videos

  • A divergence in thresholds was observed for lattices with coordination numbers less than five.

    • Conclusions:

    • The findings highlight that standard percolation models may not accurately represent residual saturation in porous rocks with low coordination numbers.
    • Careful selection of simulation rules is necessary for accurately modeling porous rock networks, particularly those with coordination numbers below five.