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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_%7BO, k%7D(t) |
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| volume/day | oil production rate for -th producer | | cash/volume | cost of produced oil treatment and transportation from -th wellhead to CMS | | cash/volume | oil selling price |
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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_%7BG, k%7D(t) |
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|
| volume/day | gas production rate for -th producer | | cash/volume | cost of produced gas treatment and transportation from -th wellhead to CMS | | cash/volume | gas selling price |
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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_%7BW, k%7D(t) |
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| volume/day | water production rate for -th producer | | cash/volume | cost of produced water treatment and transportation from -th wellhead to CMS | | counts | |
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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_%7BL, k%7D(t) |
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| volume/day | liquid production rate for -th producer | | cash/volume | cost of fluid lift from reservoir to the -th wellhead, cash/volume | | counts | number of water injectors at |
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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\downarrow%7D_%7BW, i%7D(t) |
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|
| volume/day | water injection rate for -th water injector | | cash/volume | cost of water injection, including purchase, treatment, transportation and pumping into -th well | | counts | number of gas injectors at |
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| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\downarrow%7D_%7BG, i%7D(t) |
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|
| volume/day | gas injection rate for -th gas injector | | cash/volume | cost of gas injection, including purchase, treatment, transportation and pumping into -th well | | monthsdays | time |
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The objective function
| LaTeX Math Block Reference |
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can be rewritten in terms of
Surface flowrates | LaTeX Math Inline |
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| body | \{ q^{\uparrow}_L, q^{\downarrow}_W, q^{\downarrow}_G \} |
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|
:
...
Usually, each well has a fixed range of its rate variations:
| LaTeX Math Block |
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| anchor | RateLimit |
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| alignment | left |
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| q^{\uparrow}_{LMIN, p} \leq q^{\uparrow}_{L, p}(t) \leq q^{\uparrow}_{LMAX, p} |
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| LaTeX Math Block |
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| anchor | RateLimit |
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| alignment | left |
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| q^{\downarrow}_{WMIN, i} \leq q^{\downarrow}_{W, i}(t) \leq q^{\downarrow}_{WMAX, i} |
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| LaTeX Math Block |
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| anchor | RateLimit |
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| alignment | left |
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| q^{\downarrow}_{GMIN, j} \leq q^{\downarrow}_{G, j}(t) \leq q^{\downarrow}_{GMAX, j} |
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The objective function
| LaTeX Math Block Reference |
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can be further rewritten in terms of
Sandface flowrates | LaTeX Math Inline |
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| body | \{ q^{\uparrow}_t, q^{\downarrow}_w, q^{\downarrow}_g \} |
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|
:
...
