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Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits

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  • Ferer, M.
  • Bromhal, Grant S.
  • Smith, Duane H.

Abstract

Motivated by a wide-range of applications from ground water remediation to carbon dioxide sequestration and by difficulties in reconciling experiments with previous modeling, we have developed a pore-level model of two-phase flow in porous media. We have attempted to make our model as physical and as reliable as possible, incorporating both capillary effects and viscous effects. After a detailed discussion of the model, we validate it in the very different limits of zero capillary number and zero-viscosity ratio. Invasion percolation (IP) models the flow in the limit of zero capillary number; results from our model show detailed agreement with results from IP, for small capillary numbers. Diffusion limited aggregation (DLA) models the flow in the limit of zero-viscosity ratio; flow patterns from our model have the same fractal dimension as patterns from DLA for small viscosity ratios.

Suggested Citation

  • Ferer, M. & Bromhal, Grant S. & Smith, Duane H., 2003. "Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 11-35.
    • Handle: RePEc:eee:phsmap:v:319:y:2003:i:c:p:11-35
    DOI: 10.1016/S0378-4371(02)01508-X
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    References listed on IDEAS

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    1. Ferer, M. & Sams, W.N. & Geisbrecht, R.A. & Smith, Duane H., 1991. "Scaling of fractal flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 273-280.
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    Cited by:

    1. Stevenson, Kristen & Bromhal, Grant S. & Ferer, Martin & Wilder, Joseph & Smith, Duane H., 2004. "Miscible, vertical network model 2-D simulations of two-phase flow displacements in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 317-334.
    2. Stevenson, Kristen & Ferer, Martin & Bromhal, Grant S. & Gump, Jared & Wilder, Joseph & Smith, Duane H., 2006. "2-D network model simulations of miscible two-phase flow displacements in porous media: Effects of heterogeneity and viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 7-24.

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