Relates pressure drop on the choke with the flowrate through the choke
arising from fluid friction with choke elements (ISO5167):
\Delta p = p_{in} - p_{out} = \frac{ \rho \cdot (1- \beta^4)}{0.125 \, \pi^2 \, d^4 \, C_d^2 \, \epsilon^2} \cdot q^2 |
where
| fluid density | |
| orifice diameter | |
| pipe diameter | |
| orifice narrowing ratio | |
| expansion factor |
p_{wf, k} = p_{out} + \rho \, g \, z_k |
q = \sum_k \frac{B_w(p_{e, k})}{B_w(p_{out})} \cdot J_k \cdot \left[ p_{out} + \rho \, g \, z_k - p_{e, k} \right] |
which is equivalent to .
Petroleum Industry / Upstream / Well / Water injector