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One of the Absolute permeability models based on simulating the flow through the multi-pipe conduit conduits or multigrain multi-grain pack:
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rm FZI}^2 \cdot \frac{(\phi_f -\phi_{f0})^3}{( 1 - \phi_f+\phi_{f0})^2} |
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| {\rm FZI} = \frac{1}{\sqrt{F_S} \, S_{gV} \, \tau } |
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where
The alternative form is derived from the correlation which is valid in some practical cases:
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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:
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k = 1014.24\frac{d^2}{72 \cdot FZI^2\tau^2} \cdot \frac{(\phi_f -\phi_{f0})^3}{( 1 - \phi_f+\phi_{f0})^2} |
where
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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.
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