Difference between revisions of "Darcy's law"

Revision as of 13:47, 22 July 2019

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 ^[1].

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

Henry Darcy worked on the design of a filter large enough to process the Dijon towns daily water requirement ^[2].

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

Derivation of the Linear and Radial Inflow Equations

A

= cross-sectional area, cm²

k

= permeability, d

L

= length, cm

P

= pressure, atm

q

= flow rate, cm³/sec

\mu

= Darcy's law fluid viscosity, cp

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

@@ Line 9: / Line 9: @@
 == Darcy's law History ==
-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 <ref name=DakeF/>.
+'''Henry Darcy''' worked on the design of a filter large enough to process the Dijon towns daily water requirement <ref name=DakeF/>.
 [[File:Les Fontaines Publiques de la Ville de Dijon.png|200px |link=https://books.google.ru/books?id=-FxYAAAAYAAJ&printsec=frontcover&hl=ru&source=gbs_ge_summary_r&cad=0#v=twopage&q&f=false]]