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It simplifies for the Black Oil model to:

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q_t = q_w + q_o + q_g = B_w \, q_W + \left( B_o - (GOR/R_s-1) \cdot R_s \, B_g \right) \, q_O 


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q_t = B_w \, q_W + (B_o - R_s \, B_g) \, q_O + B_g  \, q_G = B_w \, q_W + B_o \, q_O + B_g ( q_G - R_s \, q_O )

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