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| LaTeX Math Block |
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| anchor | CarterU |
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| alignment | left |
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u_L = \frac{cC_L}{\sqrt{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 |
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| LaTeX Math Block |
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q_L = 2 \, h_f \, X_f \, \, u_L = \frac{2 \, h_f \, X_f \, cC_L }{\sqrt{t-t_0}} |
where
| leak-off fracture height (usually , where is net reservoir thickness) |
| fracture half-length |
The Carter's leak-off productivity index is given by:
| LaTeX Math Block |
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J_L = \frac{q_L}{\Delta P}= 2 \, h_f \, X_f \, \sqrt{\frac{k \, \phi \, c_t }{\pi \, \mu \, (t-t_0)}} |
See Also
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Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic fracture / Hydraulic Fracture @model
