The general form of objective function for production targets optimisation is given by:
| (1) | E = \sum_{p=1}^{N_{\rm prod}} \left[ R_O \cdot q^{\uparrow}_{O, p} + R_G \cdot q^{\uparrow}_{G, p} \right] - \sum_{p=1}^{N_{\rm prod}} C_L \cdot q^{\uparrow}_{L, p} - \sum_{p=1}^{N_{\rm prod}} C_O \cdot q^{\uparrow}_{O, p} - \sum_{p=1}^{N_{\rm prod}} C_G \cdot q^{\uparrow}_{G, p} - \sum_{p=1}^{N_{\rm prod}} C_W \cdot q^{\uparrow}_{W, p} - \sum_{i=1}^{N_{W, \rm inj}} C_{W, \rm inj} \cdot q^{\downarrow}_{W, i} - \sum_{j=1}^{N_{G, \rm inj}} C_{G, \rm inj} \cdot q^{\downarrow}_{G, i} |
where
q^{\uparrow}_{O, p} | oil production rate for p-th producer | C_O | cost of oil treatment |
|---|---|---|---|
q^{\uparrow}_{G, p} | gas production rate for p-th producer | C_G | cost of gas treatment |
q^{\uparrow}_{W, p} | water production rate for p-th producer | C_W | cost of water treatment |
q^{\uparrow}_{L, p} | liquid production rate for p-th producer | C_L | cost of fluid lift |
q^{\downarrow}_{W, i} | water injection rate for i-th water injector | C_{W, \rm inj} | cost of water injection |
q^{\downarrow}_{G, i} | gas injection rate for i-th gas injector | C_{G, \rm inj} | cost of gas injection |
See Also
Petroleum Industry / Upstream / Production / Field Development Plan
Subsurface Production / Well & Reservoir Management / [ Production Targets ]
Subsurface E&P Disciplines / Production Technology