Darcy's law

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Darcy's law

Darcy's law. Equation and notaion

Darcy's law is the fundamental law of fluid motion in porous media published by Henry Darcy in 1856 [1].

Darcy's law has been applied successfully to determine the flow through permeable media since the early days of Petroleum Engineering.

Darcy's law History

Darcy's law is the fundamental law of fluid motion in porous media published by Henry Darcy in 1856 [2].

Les Fontaines Publiques de la Ville de Dijon.png

Darcy's law Equation

 q = -\frac{kA}{\mu} \frac{dP}{dL}

Conditions

  • Single fluid
  • Steady stay flow
  • Constant fluid compressibility
  • Constant temperature

Inflow Equations Derivation

Derivation of the Linear and Radial Inflow Equations Darcy's Law mtuz.png

Nomenclature

 A = cross-sectional area, cm2
 k = permeability, d
 L = length, cm
 P = pressure, atm
 q = flow rate, cm3/sec

Greek symbols

 \mu = Darcy's law fluid viscosity, cp

See Also

Darcy's law application in Petroleum Engineering Technology.

References

  1. Darcy, Henry (1856). "Les Fontaines Publiques de la Ville de Dijon". Paris: Victor Dalmont. 
  2. Dake, L.P. (1978). Fundamentals of Reservoir Engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-41830-X.