Flow in porous media I: A theoretical derivation of Darcy's law

  title={Flow in porous media I: A theoretical derivation of Darcy's law},
  author={Stephen Whitaker},
  journal={Transport in Porous Media},
  • S. Whitaker
  • Published 1 March 1986
  • Mathematics
  • Transport in Porous Media
Stokes flow through a rigid porous medium is analyzed in terms of the method of volume averaging. The traditional averaging procedure leads to an equation of motion and a continuity equation expressed in terms of the volume-averaged pressure and velocity. The equation of motion contains integrals involving spatial deviations of the pressure and velocity, the Brinkman correction, and other lower-order terms. The analysis clearly indicates why the Brinkman correction should not be used to… 

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