# Darcy's law

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## Darcy's law

[′där·sēz ‚lȯ]
(fluid mechanics)
The law that the rate at which a fluid flows through a permeable substance per unit area is equal to the permeability, which is a property only of the substance through which the fluid is flowing, times the pressure drop per unit length of flow, divided by the viscosity of the fluid.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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From Darcy's law, it can be seen that for the same reinforcement fabric (same thickness and permeability), impregnation time is controlled by pressure differential and fluid viscosity.
There are some limitations to the use of Darcy's law. For instance, it is not applicable for non-Newtonian fluids, Newtonian fluids at high velocities, or for gases at very low or very high velocities.
However, all these studies on one-dimensional large-strain consolidation essentially based on Darcy's law may not be applicable to fine-grained overconsolidated clays under low gradients.
The capillary number theory was based on capillary tube bundles and Darcy's law hypothesis, and this should always be kept in mind when used in chemical flooding EOR.
The flow at point i is represented with the head at i + 1 and i - 1 by Darcy's law:
Darcy's Law describes the movement of liquid through a porous medium.
The linear section (above point [J.sub.n]) obeys Darcy's law, and there are mainly three methods to describe the curved section (Huang, 1998): (1) simplifying into a straight line passing through the origin with a slope different from the straight line above point [J.sub.n], which is simple but cannot reflect the flow accurately especially in low permeability reservoirs; (2) power law expression, which is accurate but difficult for mathematical simulation; (3) converting into linear relationship with threshold pressure gradient, reflecting the threshold pressure but resulting in lower velocity in big pores under low pressure gradient condition.
The flow in the permeable beds is governed by Darcy's law. The velocity distribution is obtained.
Darcy's law is assumed to provide an accurate description and measurement of K in almost all hydro-geologic environments.
The classical Darcy's law Musakat [1] states that the pressure gradient pushes the fluid against the body forces exerted by the medium which can be expressed as
of Oklahoma) and Donaldson (retired after a long career in public, private, and academic spheres) introduce mineralogy and petroleum geology before covering porosity and permeability, formation resistivity and water saturation, capillary pressure, wettability, applications of Darcy's Law, naturally fractured reservoirs, and the effect of stress on reservoir rock properties, among other topics.

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