Produced flowrate of live oil across the well-reservoir contact with the volumes measured at the sandface temperature and pressure conditions.

For volatile oil fluid model the oil sandface flowrate $\begin{array}{l}q_o\end{array}$ is related to surface flowrates of crude oil $\begin{array}{l}q_O\end{array}$ and natural gas $\begin{array}{l}q_G\end{array}$ as:

(1)	$\begin{array}{l}\displaystyle q_o = B_o \, (q_O - R_v \, q_G)\end{array}$

where

$\begin{array}{l}q_O, \, q_G\end{array}$	crude oil and natural gas surface flowrates
$\begin{array}{l}B_o\end{array}$	oil formation volume factor between separator and sandface pressure/temperature conditions
$\begin{array}{l}R_v\end{array}$	Vaporized oil ratio at sandface pressure/temperature conditions

It simplifies for the Black Oil model to:

(2)	$\begin{array}{l}\displaystyle q_o = B_o \, q_O\end{array}$

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See also