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

where

LaTeX Math Inline
bodyB_o, B_g

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

LaTeX Math Inline
bodyR_s

Solution GOR at sandface pressure/temperature conditions


It relates to  Liquid production rate at surface as:

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q_G = GOR \cdot (1-Y_w) \, q_L


It simplifies for the Black Oil model to:

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