Darcy's law

Darcy's law

Darcy's law. Equation and notations

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

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 .

In 1856 Henry Darcy published a detailed account of his work on the design of a filter large enough to process the towns daily water requirement .

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

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.