One of the most general form of IPR model below bubble-point pressure:
\Psi^n(p_b) - \Psi^n(p_{wf}) = (q - q_b) \left[ \frac{1}{(q_{\rm AOF}-q_b)} \cdot \Psi^n(p_b) + \frac{(q-q_{\rm AOF}) (a_0 + a_1 \, q)}{ b_0 + b_1 \cdot q + b_2 \cdot q^2} \right] \quad , \quad p_b > p_r > p_{wf} |
where
bottom-hole pressure (BHP) | |
drainarea formation pressure | |
bubble-point pressure | |
pseudo-pressure curvature | |
laminar flow coefficient | |
turbulent flow coefficient | |
pseudo-pressure function specific to fluid type |
It needs well tests at least three different rates to assess but obviously more tests will make assessment more accurate.
Petroleum Industry / Upstream / Production / Subsurface Production / Subsurface E&P Disciplines / Field Study & Modelling / Production Analysis / Productivity Diagnostics / Inflow Performance Relation (IPR)
[ Richardson and Shaw IPR @ model ] [ Wiggins IPR @ model ]