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LaTeX Math Block
anchork_CZ
alignmentleft
k = \frac{d^2}{72 \cdot \tau^2} \cdot \frac{(\phi_f -\phi_{f0})^3}{( 1 - \phi_f+\phi_{f0})^2}

where

LaTeX Math Inline
bodyk

absolute permeability

LaTeX Math Inline
body\phi_e

effective formation porosity

LaTeX Math Inline
body\phi_0

porosity cut-off

LaTeX Math Inline
bodyd

grain size

LaTeX Math Inline
body\tau

pore channel tortuosity


The alternative form is:

LaTeX Math Block
anchorCK
alignmentleft
k = 1014.24 \cdot FZI^2 \cdot \frac{\phi^3(\phi_f -\phi_{f0})^3}{( 1 - \phi _f+\phi_{f0})^2}

where

LaTeX Math Inline
body\phi

effective porosity

LaTeX Math Inline
bodyFZI

Flow Zone Indicator

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