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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_v

Vaporized Oil Ratio at sandface pressure/temperature conditions


It relates to Surface Liquid production rateThe oil surface flowrate 

LaTeX Math Inline
bodyq_O
 relates to Surface Liquid production rateL and Total sandface flowrate 
LaTeX Math Inline
bodyq_tL
 as:

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


The oil surface flowrate 

LaTeX Math Inline
bodyq_O
 r relates to Total sandface flowrate 
LaTeX Math Inline
bodyq_t
 as:


LaTeX Math Block
anchorqL
alignmentleft
q_O = \frac{(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:

LaTeX Math Block
anchorZ7UHJ
alignmentleft
q_O = \frac{q_o}{B_o} =(1-Y_W) \cdot q_L = \frac{(1-Y_W)}{B_w Y_W + \left[ (B_o - R_s B_g) + B_g \, Y_G \right] \cdot (1-Y_W)}  \cdot q_t

See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

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