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 or
.
For the volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components 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 the Black Oil model to:
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:
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