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It usually requires additional processing before taking commercial form of the Crude Oil.


For MBO fluid @model the oil surface flowrate 

LaTeX Math Inline
body--uriencoded--q_O%5e%7B\uparrow%7DO
 is related to oil sandface flowrate 
LaTeX Math Inline
bodyq_o
 and gas sandface flowrate
LaTeX Math Inline
bodyq_g
 as (see derivation):

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anchor1
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q_O^{\uparrow} =(1-R_v \, R_s)^{-1} \left( \O = \frac{q_o}{B_o} +\frac{ R_v \, \frac{q_g}{B_g} \right) 

where

LaTeX Math Inline
bodyB_o, B_g

oil formation volume factor between separator and sandface pressure/temperature conditions

LaTeX Math Inline
bodyR_v

Vaporized Oil Ratio at sandface pressure/temperature conditions

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LaTeX Math Block
anchorG4KNB
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q_O^{\uparrow}O = (1-Y_W) \cdot q_L^{\uparrow}L


The oil surface flowrate 

LaTeX Math Inline
bodyq_O
 r relates to Total sandface flowrate 
LaTeX Math Inline
bodyq_t
 as:

LaTeX Math Block
anchorqL
alignmentleft
q_O^{\uparrow} = \frac{1-Y_W}{B_w Y_W + \left[ (B_o - R_s B_g) + (B_g - R_v B_o) \, Y_G \right] \cdot (1-Y_W)}  \cdot q_t

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