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Turbulent flow through porous media.

D W Barr1

  • 1Barr Engineering Co., 4700 West 77th St., Minneapolis, MN 55435, USA. dbarr@barr.com

Ground Water
|September 14, 2001
PubMed
Summary

This study presents new formulas for viscous and inertial resistance in porous media flow. The developed equations accurately predict flow behavior from laminar to turbulent conditions, enhancing permeability calculations.

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Area of Science:

  • Fluid Dynamics
  • Porous Media Physics
  • Geosciences

Background:

  • Flow through porous media is governed by viscous and inertial forces.
  • Existing models may not fully capture turbulent flow regimes.
  • Accurate permeability determination is crucial for various subsurface applications.

Purpose of the Study:

  • To develop and validate formulas for viscous and inertial resistance in porous media.
  • To establish a method for detecting and quantifying turbulence in flow.
  • To calculate effective permeability under both laminar and turbulent conditions.

Main Methods:

  • Derivation of mathematical expressions for viscous and inertial resistance.
  • Development of a procedure for turbulence testing and effective permeability calculation.
  • Experimental validation using 588 permeameter runs across a wide flow range.

Main Results:

  • Formulas accurately describe flow behavior in laminar and turbulent regimes.
  • Turbulence onset identified at a head gradient of approximately 0.1 for tested conditions.
  • Data in the turbulent range showed distinct patterns based on particle shape.

Conclusions:

  • The proposed formulas provide a robust framework for understanding porous media flow.
  • The method allows for accurate effective permeability calculation, even under turbulent flow.
  • Findings contribute to improved modeling of fluid transport in geological formations.

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