...
| LaTeX Math Block |
|---|
|
G = \sum_t{y=1}^{N_y} \frac{GSG_ty}{{1+r^tr}^y} \rightarrow \rm max
|
| LaTeX Math Block |
|---|
|
SG_y = \sum_t G_t
|
| LaTeX Math Block |
|---|
|
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)
- \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)
|
...
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\uparrow%7D_%7BO, k%7D(t) |
|---|
|
| 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 |
|---|
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\uparrow%7D_%7BG, k%7D(t) |
|---|
|
| 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 |
|---|
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\uparrow%7D_%7BW, k%7D(t) |
|---|
|
| volume/day | water production rate for -th producer | | cash/volume | cost of produced water treatment and transportation from -th wellhead to CMS | | counts | |
|---|
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\uparrow%7D_%7BL, k%7D(t) |
|---|
|
| 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 |
|---|
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\downarrow%7D_%7BW, i%7D(t) |
|---|
|
| 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 |
|---|
| LaTeX Math Inline |
|---|
| body | --uriencoded--q%5e%7B\downarrow%7D_%7BG, i%7D(t) |
|---|
|
| volume/day | gas injection rate for -th gas injector | | cash/volume | cost of gas injection, including purchase, treatment, transportation and pumping into -th well | | years days frac | number of years time discount rate
|
|---|
The objective function
| LaTeX Math Block Reference |
|---|
|
can be rewritten in terms of
Surface flowrates | LaTeX Math Inline |
|---|
| body | \{ q^{\uparrow}_L, q^{\downarrow}_W, q^{\downarrow}_G \} |
|---|
|
:
...
