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q_GG^{\uparrow} =(1-R_v \, R_s)^{-1} \left( \frac{q_g}{B_g} +\frac{R_s \, q_o}{B_o} \right) 

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q_GG^{\uparrow} = Y_G \cdot (1-Y_w) \, q_LL^{\uparrow}


The gas surface flowrate 

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 relates to Total sandface flowrate 
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 as:

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q_GG^{\uparrow} = \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

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q_GG^{\uparrow} =\frac{q_g}{B_g} +\frac{R_s \, q_o}{B_o} = Y_G \cdot (1-Y_w) \, q_L = \frac{ Y_G \cdot  (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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