Darcy

For the 19th-century French scientist, see Henry Darcy.

This article is about the unit of fluid permeability. For other uses, see Darcy (disambiguation).

A darcy (or darcy unit) and millidarcy (mD) are units of permeability, named after Henry Darcy. They are not SI units, but they are widely used in petroleum engineering and geology. Like other measures of permeability, a darcy has the same units as area.

Definition

Permeability measures the ability of fluids to flow through rock (or other porous media). The darcy is defined using Darcy's law, which can be written as:

$v = \frac{\kappa\,\Delta P}{\mu\,\Delta x}$

where:

$v\,$	is the superficial (or bulk) fluid flow rate through the medium
$\kappa\,$	is the permeability of a medium
$\mu\,$	is the dynamic viscosity of the fluid
$\Delta P\,$	is the applied pressure difference
$\Delta x\,$	is the thickness of the medium

The darcy is referenced to a mixture of unit systems. A medium with a permeability of 1 darcy permits a flow of 1 cm³/s of a fluid with viscosity 1 cP (1 mPa·s) under a pressure gradient of 1 atm/cm acting across an area of 1 cm². A millidarcy (md) is equal to 0.001 darcy and a microdarcy (µd) equals 0.000001 darcy.

Origin

The darcy is named after Henry Darcy. Rock permeability is usually expressed in millidarcies (md) because rocks hosting hydrocarbon or water accumulations typically exhibit permeability ranging from 5 to 500 md.

The odd combination of units comes from Darcy's original studies of water flow through columns of sand. Water has a viscosity of 1.0019 cP at about room temperature.

Although the unit is named after Henry Darcy, it should be noted that the unit abbreviation is not capitalized (contrary to industry use). The American Association of Petroleum Geologists^[1]use the following unit abbreviations and grammar in their publications:

• darcy (plural darcys, not darcies): d
• millidarcy (plural millidarcys, not millidarcies): md

Conversions

Converted to SI units, 1 darcy is equivalent to 9.869233×10⁻¹³ m² or 0.9869233 (µm)². This conversion is usually approximated as 1 (µm)². Note that this is the reciprocal of 1.013250—the conversion factor from atmospheres to bars.

References

1. ^ The American Association of Petroleum Geologist Style Guides

[1] American Association of Petroleum Geologists Style Guide for the AAPG Bulletin

• Society of Petroleum Engineers (SPE) metric standard.
• Richard Selley's "Elements of Petroleum Geology (2nd edition)," page 250.