Total produced flowrate of live oil across the well-reservoir contact with the volumes measured at the sandface temperature and pressure conditions.
For the volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as:
q_o = \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 the Black Oil model to:
q_t = B_o \, q_O + (B_g - R_s B_o) \, q_G =B_o \, (q_O -R_s q_G) + B_g \, q_G |
and simplifies further down to production from undersaturated reservoir as:
q_t = B_w \, q_W + B_o \, q_O |
and even simpler for single-phase fluid with surface flow rate and formation volume factor B:
q_t = q \cdot B |
Non-linear multi-phase diffusion derivation @model