You are viewing an old version of this page. View the current version.
Compare with Current
View Page History
« Previous
Version 23
Next »
Fracture half-length |
(1) |
X_f = 0.524 \, \left( \frac{q^3 E'}{\mu \, h_f^4} \right)^{1/5} \, t^{4/5} = 0.524 \, \left( \frac{E'}{\mu \, h_f^4} \frac{Q^4}{q}\right)^{1/5} = 0.8 \cdot \frac{E' \, Q}{p_{\rm net} \, h_f^2} |
|
Fracture width at wellbore |
(2) |
w_{f0} = 3.04 \, \left( \frac{q^2 \mu}{E' \, h_f} \right)^{1/5} \, t^{1/5}= 3.04 \, \left( \frac{q \, Q \mu}{E' \, h_f} \right)^{1/5} = \frac{2 \, p_{\rm net} \, h_f}{E'} |
|
Average fracture width |
(3) |
\bar w_f = \frac{\pi}{5} \, w_{f0} |
|
Net pressure at the wellbore |
(4) |
p_{\rm net} = 1.524 \, \left( \frac{E'^4 \, q^2 \, \mu}{h_f^6} \right)^{1/5} \, t^{1/5} = 1.524 \, \left( \frac{E'^4 \, q \, Q \, \mu}{h_f^6} \right)^{1/5} |
|
where
| injection time |
| injection rate |
| cumulative injection over time
t |
| fracture height |
| plain stress |
| Young modulus |
| Poisson ratio |
| fluid viscosity |
See Also
Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic fracture / Hydraulic Fracture @model
[ KGD Hydraulic Fracture @model ]
Reference
Perkins, Kern and Nordgren