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For volatile oil fluid model the oil gas surface flowrate 

LaTeX Math Inline
bodyq_O
 is related to oil gas sandface flowrate 
LaTeX Math Inline
bodyq_o
 and gas
g
  and oil sandface flowrate 
LaTeX Math Inline
bodyq_go
 as:

LaTeX Math Block
anchor1
alignmentleft
q_OG =(1-R_v \, R_s)^{-1} \left( \frac{q_og}{B_og} +\frac{R_vs \, q_go}{B_go} \right) 

where

LaTeX Math Inline
bodyq_o, \, q_g

LaTeX Math Inline
bodyB_o, B_g

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

LaTeX Math Inline
bodyR_vs

Solution GOR Vaporized Oil Ratio at sandface pressure/temperature conditions

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LaTeX Math Block
anchorZ7UHJ
alignmentleft
q_OG = \frac{q_og}{B_og} 

See also

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Non-linear multi-phase diffusion derivation @model

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