Darcy's law

Gives the volumetric flow rate of a viscous fluid through a porous medium as proportional to the pressure drop across a sample and inversely proportional to its length and the fluid viscosity. It is used in hydrogeology, petroleum engineering and soil mechanics.

Q=\frac{-\kappa A (p_b - p_a)}{\mu L}

What the symbols mean

volumetric flow rate of the fluid (\mathrm{m^3/s})
permeability of the porous medium (\mathrm{m^2})
cross-sectional area of the sample perpendicular to flow (\mathrm{m^2})
pressure at the outlet end (\mathrm{Pa})
pressure at the inlet end (\mathrm{Pa})
dynamic viscosity of the fluid (\mathrm{Pa\cdot s})
length of the sample in the flow direction (\mathrm{m})

About this formula

  • FieldEarth and space
  • TopicFluid flow in porous media
  • LevelUniversity
  • Also calledflow through porous medium, fluid flow in porous media, Darcy flow equation, permeability flow rate, porous media flow law, Darcy equation
  • SourceWikidata Q392416

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