Total produced or injected flowrate of all fluids across the well-reservoir contact with account of the downhole temperature and pressure conditions.


For the 3-phase fluid model theĀ total sandface flowrate is related to surface flow rates as:

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 surface flowrates

formation volume factors between separator and sandface pressure/temperature conditions

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



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