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Preparation and Friction Force Microscopy Measurements of Immiscible, Opposing Polymer Brushes
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Published on: December 24, 2014

Fingering instability in immiscible displacement.

Alexander Babchin1, Irina Brailovsky, Peter Gordon

  • 1Heavy Oil and Oil Sands, Alberta Research Council, Edmonton, Alberta T6N 1E4, Canada. babchin@arc.ab.ca

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
Summary

Researchers developed a new model for water-oil displacement in porous media, improving upon classical Buckley-Leverett theory. The model accurately captures the finger-like patterns seen in simulations, offering insights into fluid dynamics.

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Area of Science:

  • Fluid dynamics
  • Porous media physics
  • Multiphase flow

Background:

  • The Buckley-Leverett theory is a classical model for two-phase immiscible flow.
  • Understanding water-oil displacement dynamics in porous media is crucial for various applications, including oil recovery and carbon sequestration.
  • Recent direct numerical simulations have revealed complex finger-forming dynamics that challenge classical models.

Purpose of the Study:

  • To formulate a reduced evolution equation for the water-oil displacement front.
  • To numerically study the dynamics predicted by this reduced model.
  • To assess the model's ability to reproduce observed finger-forming phenomena.

Main Methods:

  • Development of a simplified, reduced evolution equation for the displacement front.
  • Numerical simulation of the reduced equation.
  • Comparison of simulation results with findings from direct numerical simulations.

Main Results:

  • The reduced model was successfully formulated and studied numerically.
  • The model accurately reproduces the key features of finger-forming dynamics.
  • This suggests the reduced model captures essential physics of the displacement process.

Conclusions:

  • The developed reduced model offers a simplified yet effective approach to studying water-oil displacement fronts.
  • The model's success in reproducing finger-forming dynamics validates its utility.
  • This work provides a new tool for analyzing complex fluid flow in porous media.