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LaTeX Math Block
anchorqL
alignmentleft
q_L = \frac{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)}

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titleDerivation

Starting with definition of Total sandface flowrate 

LaTeX Math Block Reference
anchorqt_VO
pageTotal sandface flowrate (qt)
 and substituting the expression of Oil surface flowrate, Gas surface flowrate, Water surface flowrate through Liquid production rate one arrives to 
LaTeX Math Block Reference
anchorqL
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