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Dynamics and Structure of Viscous Fingers in Porous Media

  • Knut Jørgen Måløy
  • Finn Boger
  • Jens Feder
  • Torstein Jøssang
Part of the NATO ASI Series book series (volume 167)

Abstract

The displacement of a high viscosity fluid by a low viscosity fluid in a porous medium is a process of both scientific and practical importance. It has recently been shown by Chen and Wilkinson1 and by Måløy et al.2 that viscous fingering in a random porous medium at high capillary numbers, Ca > >10−4, generates structures with a fractal3 geometry. This fractal structure closely resembles that obtained from the diffusion limited aggregation (DLA) model of Witten and Sander4. Similar structures have also been obtained by fluid-fluid displacement in radial HeleShaw cells using non-Newtonian viscous fluids5. The relationship between fluid-fluid displacement in porous media and DLA was first discussed by Paterson6 and a more detailed analysis has been presented by Kadanoff7.

Keywords

Porous Medium Fractal Dimension Active Zone Growth Zone Capillary Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • Knut Jørgen Måløy
    • 1
  • Finn Boger
    • 1
  • Jens Feder
    • 1
  • Torstein Jøssang
    • 1
  1. 1.Institute of PhysicsUniversity of OsloBlindern, Oslo 3Norway

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