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For volatile oil fluid model the gas sandface flowrate 

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bodyq_g
is related to surface flowrates of crude oil 
LaTeX Math Inline
bodyq_O
 and natural gas 
LaTeX Math Inline
bodyq_G
 as as (see derivation):

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q_g = B_g \, ( q_G - R_s \, q_O)

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q_g = q_G \cdot B_g


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