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G(t) = \sum_{p=1}^{N^{\uparrow}_P} \left[ R_O \cdot q^{\uparrow}_{O, p} + R_G \cdot q^{\uparrow}_{G, p} \right] - \sum_{p=1}^{N^{\uparrow}} C^{\uparrow}_{L,p} \cdot q^{\uparrow}_{L, p} - \sum_{p=1}^{N^{\uparrow}} C^{\uparrow}_{O,p} \cdot q^{\uparrow}_{O, p} - \sum_{p=1}^{N^{\uparrow}} C^{\uparrow}_{G,p} \cdot q^{\uparrow}_{G, p} - \sum_{p=1}^{N^{\uparrow}} C^{\uparrow}_{W,p} \cdot q^{\uparrow}_{W, p} - \sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,j} \cdot q^{\downarrow}_{W, i} - \sum_{j=1}^{N^{\downarrow}_G} C^{\downarrow}_{G,j} \cdot q^{\downarrow}_{G, ij} \rightarrow \rm max |
where
| volume/day | oil production rate for
|
| cash/volume | cost of produced oil treatment and transportation from wellhead to CMS |
| cash/volume | oil selling price | ||||||||||||||||||||
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| volume/day | gas production rate for
|
| cash/volume | cost of produced gas treatment and transportation from wellhead to CMS |
| cash/volume | gas selling price | ||||||||||||||||||||
| volume/day | water production rate for
|
| cash/volume | cost of produced water treatment and transportation from wellhead to CMS |
| counts | number of producers at
| ||||||||||||||||||||
| volume/day | liquid production rate for
|
| cash/volume | cost of fluid lift to the wellhead, cash/volume |
| counts | number of water injectors at
| ||||||||||||||||||||
| volume/day | water injection rate for
|
| cash/volume | cost of water injection, including purchase, treatment, transportation and pumping |
| counts | number of gas injectors at
| ||||||||||||||||||||
| volume/day | gas injection rate for
|
| cash/volume | cost of gas injection, including purchase, treatment, transportation and pumping |
| months | time |
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G = \sum_{p=1}^{N^{\uparrow}_P}} G^{\uparrow}_{utt,p} \cdot q^{\uparrow}_{t, p} - \sum_{i=1}^{N^{\downarrow}_W} G^{\downarrow}_w \cdot q^{\downarrow}_{w, i} - \sum_{j=1}^{N^{\downarrow}_G} G^{\downarrow}_g \cdot q^{\downarrow}_{g, ij} \rightarrow \rm max |
where
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