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LaTeX Math Block
anchorqL
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q_L = \frac{q_t}{B_w Y_w + \left[ (B_o - R_s B_g] + (B_g - R_v B_o) \, GORY_g \right] \cdot (1-Y_w)}  

where

LaTeX Math Inline
bodyq_t

Total sandface flowrate

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bodyB_w, \, B_o, \, B_g

formation volume factors between separator and sandface pressure/temperature conditions

LaTeX Math Inline
bodyR_s, \, R_v

Solution GOR and Vaporized oil ratio at sandface pressure/temperature conditions

LaTeX Math Inline
body\displaystyle Y_w = \frac{q_W}{q_L}

Production Water Cut

LaTeX Math Inline
body\displaystyle GORY_g= \frac{q_G}{q_O}

Production Gas-Oil-Ratio

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