\frac{q_O}{q_{\rm max}} = 1 - a \, \frac{p_{wf}}{p_r} - (1-a) \Bigg(\frac{p_{wf}}{p_r} \Bigg)^2  \quad , \quad p_b > p_r > p_{wf}, \quad \{ 0<a<1 \}


where

surface production rate of rate

Absolute Open Flow (AOL) for oil

bottom-hole pressure (BHP)

drainarea formation pressure

bubble-point pressure

model parameter 


This is a generalisation of Vogel model and reduces to Vogel model for .


See also


Inflow Performance Relation (IPR)

Vogel IPR @ model ] [ Wiggins IPR @ model ]


References