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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 asThe gas surface flowrate 

LaTeX Math Inline
bodyq_G
  relates to Surface Liquid production rate 
LaTeX Math Inline
bodyq_L
 as:

LaTeX Math Block
anchorG4KNB
alignmentleft
q_G = GORY_G \cdot (1-Y_w) \, q_L



The gas surface flowrate 

LaTeX Math Inline
bodyq_G
 relates to Total sandface flowrate 
LaTeX Math Inline
bodyq_t
 as:

LaTeX Math Block
anchorqL
alignmentleft
q_G = \frac{ Y_G \cdot  (1-Y_W)}{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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