The common model of Hydraulic Fracture Permeability is based on Cozeny-Karman permeability @model:
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where
{\rm FZI} | Flow Zone Indicator | S_{gV} = \Sigma_e/V_\phi | \Sigma_e | pore surface area | |
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\phi_f | fracture porosity | F_S | pore shape factor | V_\phi | pore volume |
\phi_{f0} | \tau | pore channel tortuosity |
In case of proppant-filled fracture the Flow Zone Indicator can be approximated as:
(3) | {\rm FZI} \approx 0.0037 \cdot \frac{d}{\tau } |
where
d_f | proppant average grain size |
\tau_f | fracture pore channel tortuosity |
For the fluid-filled fracture the Flow Zone Indicator can be approximated as:
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which leads to simple correlation for fracture permeability:
(6) | k_f = 84 \cdot 10^6 \, w_f^2 |
See Also
Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic Fracture