...
The common model of Hydraulic Fracture Permeability is based on Cozeny-Karman permeability @model:
...
...
...
...
rm FZI}^2 \cdot \frac{(\phi_f -\phi_{f0})^3}{( 1 - \phi_f+\phi_{f0})^2} |
| | LaTeX Math Block |
|---|
| {\rm FZI} = \frac{1}{\sqrt{F_S} \, S_{gV} \, \tau } |
|
where
In case of proppant-filled fracture the Flow Zone Indicator can be approximated as:
| LaTeX Math Block |
|---|
|
{\rm FZI} \approx 0.0037 \cdot \frac{d}{\tau } |
where
For the fluid-filled fracture the Flow Zone Indicator can be approximated as:
| LaTeX Math Block |
|---|
| {\rm FZI} = \frac{w_f}{2 \, \sqrt{F_S}} |
| | LaTeX Math Block |
|---|
| F_S \approx 3 \cdot 10^{-6} \, \frac{\phi_{fo}^2}{(1-\phi{f0})^3} |
|
which leads to simple correlation for fracture permeability:
| LaTeX Math Block |
|---|
|
k_f = 84 \cdot 10^6 w_f^2 |
See Also
...
Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic Fracture
