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@wikipedia


A measure of ability of a porous formation to allow a certain fluid to pass through it.



For the laminar flow:

Excerpt


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anchor1
alignmentleft
k = \mu \cdot \frac{| {\bf v}|}{ | \nabla p |}

where

LaTeX Math Inline
body\mu

fluid viscosity

LaTeX Math Inline
body| {\bf v}|

fluid velocity

LaTeX Math Inline
body\nabla p

pressure gradient




Permeability depends on fluid type, filling the porous media and the fluid type which is sweeping through it which leads to splitting its value into a product of two components: 

LaTeX Math Block
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k = k_a \cdot k_r

where

LaTeX Math Inline
bodyk_a

absolute permeability to air which is defined by the reservoir pore structure only, also denoted as

LaTeX Math Inline
bodyk_{abs}
or
LaTeX Math Inline
bodyk_{air}

LaTeX Math Inline
bodyk_r

relative permeability to a given fluid which is defined by the interaction between fluid and reservoir matrix


In general case, permeability is anisotropic both in vertical and lateral directions and quantified by symmetric tensor value:

...

If not mentioned otherwise the permeability usually means absolute horizontal permeability

LaTeX Math Inline
bodyk = k_h = \sqrt{k_x^2+k_y^2}
.

See also

...

Natural Science / Physics /  Fluid Dynamics / Percolation

...

Petrophysics ] [ Basic reservoir properties ]  [ Wettability ]  [ Permeability ] [ Absolute permeability ]  [ Horizontal permeability ] [ Vertical permeability ] [ kv/kh ]

[ Relative permeability