Recalculation of the surface flow rate down to the reservoir conditions:

q_t = B_w \, q_W + \frac{B_o - R_v B_g}{1 - R_v R_s} \, q_O + \frac{B_g - R_s B_o}{1 - R_v R_s} \, q_G

where

water, oil, gas production rates at separator

formation volume factors between separator and sandface pressure

Solution GOR and Vaporized oil ratio



It simplifies for theĀ Black Oil model to:

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

and further down to production from undersaturated reservoir:

q_t = B_w \, q_W + B_o \, q_O