Sum of oil surface flowrate $\begin{array}{l}q_O^{\uparrow}\end{array}$ and water surface flowrate $\begin{array}{l}q_W^{\uparrow}\end{array}$ : $\begin{array}{l}q_L^{\uparrow} = q_O^{\uparrow} + q_W^{\uparrow}\end{array}$ .

Symbol	Metric unit	Oilfield unit
$\begin{array}{l}q_L^{\uparrow}\end{array}$	cmd	bpd

It is related to Total sandface flowrate $\begin{array}{l}q_t\end{array}$ as:

(1)	$\begin{array}{l}\displaystyle q_L^{\uparrow} = \frac{q_t}{B_w Y_W + \left[ (B_o - R_s B_g) + (B_g - R_v B_o) \, Y_G \right] \cdot (1-Y_W)}\end{array}$

where

$\begin{array}{l}q_t\end{array}$	Total sandface flowrate
$\begin{array}{l}B_w, \, B_o, \, B_g\end{array}$	formation volume factors between separator and sandface pressure/temperature conditions
$\begin{array}{l}R_s, \, R_v\end{array}$	Solution GOR and Vaporized oil ratio at sandface pressure/temperature conditions
$\begin{array}{l}\displaystyle Y_W^{\uparrow} = \frac{q_W^{\uparrow}}{q_L^{\uparrow}}\end{array}$	Production Water Cut
$\begin{array}{l}\displaystyle Y_G^{\uparrow}= \frac{q_G^{\uparrow}}{q_O^{\uparrow}}\end{array}$	Production Gas-Oil-Ratio

Derivation

Starting with definition of Total sandface flowrate (Total sandface flowrate = qt:1) and substituting the expression of Oil surface flowrate, Gas surface flowrate, Water surface flowrate through Liquid production rate one arrives to (1).

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See Also

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Liquid production rate = qL

See Also