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\Psi^n(p_b) - \Psi^n(p_{wf}) = (q - q_b) \left[ \frac{1}{(q_\mathrm{max}-q_b)} \cdot \Psi^n(p_b) + \frac{(q-q_\mathrm{max}) (a_0 + a_1 \, q)}{ b_0 + b_1 \cdot q + b_2 \cdot q^2} \right], \ \ H(q) = \frac{\sum_{k =1..n} a_k \, q^k}{\sum_{k =1..n+1} \quadb_k \, q^k}, \ \ , \quad p_b > p_r > p_{wf} |
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| bottom-hole pressure (BHP) | ||||
| bubble-point pressure | ||||
| sandface flowrate | ||||
| Absolute Open Flow (AOF) | ||||
| pseudo-pressure function specific to fluid type | ||||
| pseudo-pressure curvature | ||||
| laminar flow coefficient | ||||
| turbulent flow coefficient |
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