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One of the Absolute permeability models based on simulating the flow through the multi-pipe conduits or multi-grain pack:
| LaTeX Math Block |
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| k = 1014.24 \cdot {\rm FZI}^2 \cdot \frac{(\phi |
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_f{f0}_f{f0}CK | {\rm FZI} = \frac{1}{\sqrt{F_S} \, S_{gV} \, \tau } |
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where
| \phi | effective porosity| --uriencoded--%7B\rm FZI%7D |
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| Flow Zone Indicator | | LaTeX Math Inline |
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| body | --uriencoded--S_%7BgV%7D = \Sigma_e/V_\phi |
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| surface pore area per unit pore volume | | pore surface area |
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--uriencoded--%7B\rm FZI%7D | Flow Zone Indicator
The alternative form is derived from the correlation which is valid in some practical cases:
| LaTeX Math Block |
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\frac{1}{\sqrt{F_S} \, S_{gV}} \approx 0.0037 \cdot d |
where
so that Absolute permeability is going to be:
| LaTeX Math Block |
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k = \frac{d^2}{72 \cdot \tau^2} \cdot \frac{(\phi_f -\phi_{f0}0)^3}{( 1 - \phi_f+\phi_{f0}0)^2} |
where
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