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It relates to Surface Liquid production rate 

LaTeX Math Inline
bodyq_L
 and Total sandface flowrate 
LaTeX Math Inline
bodyq_t
 as:


LaTeX Math Block
anchorG4KNB
alignmentleft
q_O = (1-Y_W) \
,
cdot q_L



LaTeX Math Block
anchorqL
alignmentleft
q_O = \frac{(1-Y_W)
\, q_t
}{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




It simplifies for the Black Oil model (

LaTeX Math Inline
bodyR_v = 0
) to:

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