(1) | k = 1014.24 \cdot FZI^2 \cdot \frac{\phi^3}{( 1 - \phi )^2} |
where
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 FZI as a function of grains shape, size distribution and packing.
The most popular correlation with a mean grain size D_g is given as:
(2) | FZI = a \cdot D_g |
where coefficient a is a function of grain shape and packing and, as a consequence, of inter-grain porosity \phi.
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Absolute permeability / Absolute permeability @model