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Total produced or injected flowrate of all fluids across the well-reservoir contact with the volumes measured at the sandface temperature and pressure conditions.


Usually abbreviated as  q_t or qB.


For the volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as:

(1) 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

\{ q_W, \, q_O, \, q_G \}

water, oil, gas surface flowrates

\{ B_W, \, B_O, \, B_G \}

formation volume factors between separator and sandface pressure/temperature conditions

\{ R_s, \, R_v \}

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



It simplifies for the Black Oil model to:

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

and simplifies further down to production from undersaturated reservoir as:

(3) q_t = B_w \, q_W + B_o \, q_O

and even simpler for single-phase fluid with  surface flow rate q and formation volume factor B:

(4) q_t = q \cdot B




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