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For volatile oil fluid model the oil surface flowrate 

LaTeX Math Inline
bodyq_O
 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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q_O =(1-R_v \, R_s)^{-1} \left( \frac{q_o}{B_o} +\frac{R_v \, q_g}{B_g} \right) 

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LaTeX Math Block
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q_O = \frac{q_o}{B_o} 

See

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Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

Well & Reservoir Surveillance ]Non-linear multi-phase diffusion derivation @model