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LaTeX Math Block
anchorCK
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k = 1014.24 \cdot {\rm FZI}^2 \cdot \frac{(\phi_f -\phi_{f0})^3}{( 1 - \phi_f+\phi_{f0})^2}
LaTeX Math Block
anchorFZI
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{\rm FZI} = \frac{1}{\sqrt{F_S} \, S_{gV} \, \tau }

where

LaTeX Math Inline
body--uriencoded--%7B\rm FZI%7D

Flow Zone Indicator

LaTeX Math Inline
body--uriencoded--S_%7BgV%7D = \Sigma_e/V_\phi

surface pore area per unit pore volume

LaTeX Math Inline
body\Sigma_e

pore surface area

LaTeX Math Inline
body\phi_f

fracture porosity

LaTeX Math Inline
bodyF_S

pore shape factor

LaTeX Math Inline
bodyV_\phi

pore volume

LaTeX Math Inline
body--uriencoded--\phi_%7Bf0%7D

LaTeX Math Inline
body\tau

pore channel tortuosity


In case of proppant-filled fracture the Flow Zone Indicator can be approximated as:

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