A specific IPR model:

(1)	$\begin{array}{l}\displaystyle \frac{q_O}{q_{O, \rm max}} = 1 - 0.2 \, \frac{p_{wf}}{p_r} - 0.8 \Bigg(\frac{p_{wf}}{p_r} \Bigg)^2 \quad , \quad p_b > p_r > p_{wf}\end{array}$

where

$\begin{array}{l}q_O\end{array}$	surface production rate of rate
$\begin{array}{l}q_{O, \rm max}\end{array}$	Absolute Open Flow (AOL) for oil
$\begin{array}{l}p_{wf}\end{array}$	bottom-hole pressure (BHP)
$\begin{array}{l}p_r\end{array}$	drainarea formation pressure
$\begin{array}{l}p_b\end{array}$	bubble-point pressure

A more general forms of IPR is provided by Vogel IPR @ model and Wiggins IPR @ model.

References

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