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.

See also


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 ]


References