Darcy's law

Brief

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

Math and Physics

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

Derivation of the Linear and Radial Inflow Equations

Conditions

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

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 oil viscosity, cp