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G_t = \sum_{k=1}^{N^{\uparrow}_P} \left[ R_O(t) \cdot q^{\uparrow}_{O, k}(t) + R_G(t) \cdot q^{\uparrow}_{G, k}(t) \right] - \sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{L,k} \cdot q^{\uparrow}_{L, k}(t) - \sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{O,k} \cdot q^{\uparrow}_{O, k} (t) - \sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{G,k} \cdot q^{\uparrow}_{G, k} (t) - \sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{W,k} \cdot q^{\uparrow}_{W, k}(t) - C^{\uparrow}_{WS,k} \cdot q^{\uparrow}_{WS}(t) - \sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,j} \cdot q^{\downarrow}_{W, i}(t) - \sum_{j=1}^{N^{\downarrow}_G} C^{\downarrow}_{G,j} \cdot q^{\downarrow}_{G, j}(t) - C^{\uparrow}_{WS,k} \cdot q^{\uparrow}_{WS}(t) |
where
| years | assessment period |
| days | day within a given year |
| – | |||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| volume/day | oil production rate for
|
| cash/volume |
| cash/volume | oil selling price | |||||||||||||||||||||||||
| volume/day | gas production rate for
|
| cash/volume |
| cash/volume | gas selling price | |||||||||||||||||||||||||
| volume/day | water production rate for
|
| cash/volume |
| counts | number of producers at
| |||||||||||||||||||||||||
| volume/day | liquid production rate for
|
| cash/volume | ||||||||||||||||||||||||||||
| volume/day | water supply rate |
| cash/volume | cost of water supply | |||||||||||||||||||||||||||
| volume/day | water injection rate for
|
| cash/volume | cost of water injection, including treatment, transportation and pumping into
|
| counts | number of water injectors at
| ||||||||||||||||||||||||
| volume/day | gas injection rate for
|
| cash/volume | cost of gas injection, including purchase, treatment, transportation and pumping into
|
| number of gas injectors at
|
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G_t = \sum_{p=1}^{N^{\uparrow}_P} C^{\uparrow}_{OGW}(t) \cdot q^{\uparrow}_{L, p}(t)
- \sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,i} \cdot q^{\downarrow}_{W, i}(t)
- \sum_{j=1}^{N^{\downarrow}_G} C^{\downarrow}_{G,j} \cdot q^{\downarrow}_{G, j}(t)
- C^{\uparrow}_{WS,k} \cdot q^{\uparrow}_{WS}(t)
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C^{\uparrow}_{OGW}(t) = \left[ (R_O(t) - C^{\uparrow}_{O,p}) + (R_G(t) - C^{\uparrow}_{G,p}) \cdot Y_{g,p}(t) \right] \cdot (1- Y_{w,p}(t)) - C^{\uparrow}_{L,p} - C^{\uparrow}_{W,p} \cdot Y_{w,p}(t) |
...