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

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

Conditions

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

Nomenclature

$q$ = Darcy's law flow area, cm²

$h$ = effective feet of oil pay, ft

$k$ = Darcy's law permeability, d

$L$ = Darcy's law length, cm

$P$ = Darcy's law pressure, atm

$q$ = Darcy's law flow rate, cm³/sec

Greek symbols

$\mu$ = Darcy's law oil viscosity, cp