Total produced or injected volume of all fluids across the well-reservoir contact with account of the downhole temperature and pressure conditions.
For the 3-phase fluid model the 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 production rates at separator | |
| formation volume factors between separator and sandface pressure | |
| Solution GOR and Vaporized oil ratio |
It simplifies for the 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 |