...
| LaTeX Math Block |
|---|
| anchor | CarterU |
|---|
| alignment | left |
|---|
|
u_L = \frac{c_L}{t-t_0} |
where
| Carter leak-off coefficient |
| time |
| exposure time (also called fill-in time) which require for fracture area to get exposed to a fluid flow |
The Carter leak-off coefficient
can be simulated numerically.
...
| LaTeX Math Block |
|---|
|
C_L = \deltaDelta P \, \sqrt{\frac{k \, \phi \, c_t}{\pi \, \mu}} |
where
| LaTeX Math Inline |
|---|
| body | --uriencoded--\Delta P = P_%7Bwf%7D - P_e |
|---|
|
| drawdown pressure across fracture face area |
| LaTeX Math Inline |
|---|
| body | --uriencoded--P_%7Bwf%7D |
|---|
|
| bottom-hole pressure across fracture face area |
| formation pressure around fracture |
| reservoir phase permeability to fracture fluid |
| reservoir porosity |
| fracture fluid viscosity |
| total reservoir compressibility |
Volumetric leak-off rate
is given by:
| LaTeX Math Block |
|---|
|
q_L = 2 \, h_f \, X_f \, c_L \sqrt{t-t_0} |
where
| leak-off fracture height (usually , where is net reservoir thickness) |
| fracture half-length |
See Also
...
Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic fracture / Hydraulic Fracture @model
