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LaTeX Math Block
anchorCK
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k = 1014.24 \cdot FZI^2 \cdot \frac{\phi^3}{( 1 - \phi )^2}

where

LaTeX Math Inline
body\phi

effective porosity

LaTeX Math Inline
bodyFZI

Flow Zone Indicator


The Flow Zone Indicator is considered to be constant within a given lithofacies


This correlation was historical the first physical permeability model, based on the fluid flow in porous media with simplified structure consisted of a bunch of independent capillaries with various diameters.

Later on it's been upgraded to percolation through inter-grain porous space which specifies the Flow Zone Indicator 

LaTeX Math Inline
bodyFZI
 as a function of grains shape, size distribution and packing.

The most popular correlation with a mean grain size 

LaTeX Math Inline
bodyD_g
is given as:

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anchorFXZ4L
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FZI = a \cdot D_g

where coefficient 

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bodya
 is a function of grain shape, packing, inter-grain clay and, as a consequence, of inter-grain effective porosity 
LaTeX Math Inline
body\phi
.


See also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Absolute permeability / Absolute permeability @model