...
and
| LaTeX Math Inline |
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| body | --uriencoded--%7B\rm w%7D_k = %7B\rm w%7D(t_k) |
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|
are the the weight coefficients for time (usually the weight of the later times is higher than that for early times).
The constraints are:
| productivity is a positive number |
| drainage volume is a positive number |
| LaTeX Math Inline |
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| body | --uriencoded--f_%7Bnm%7D \ \geq 0 |
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|
| interference coefficients are all positive numbers |
| LaTeX Math Inline |
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| body | --uriencoded--0 \leq f_%7BW,nn%7D \leq 1 |
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|
| water production is a sum of good water and bad water and as such its share of the total water production is always less or equal to one |
| LaTeX Math Inline |
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| body | --uriencoded--\sum_m f%5e%7B\uparrow%7D_%7BO, nm%7D \ \leq 1 |
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|
|
|
| LaTeX Math Inline |
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| body | --uriencoded--\sum_m f%5e%7B\uparrow%7D_%7BG, nm%7D \ \leq 1 |
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|
|
|
| LaTeX Math Inline |
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| body | --uriencoded--\sum_m f%5e%7B\downarrow%7D_%7BW, nm%7D \ \leq 1 |
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|
|
|
| LaTeX Math Inline |
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| body | --uriencoded--\sum_m f%5e%7B\downarrow%7D_%7BG, nm%7D \ \leq |
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|
1...
...
Normally, the initial formation pressure at datum is the same for all wells:
| LaTeX Math Inline |
|---|
| body | --uriencoded-- p_%7Bi,n%7D(0) = p_i = %7B\rm const%7D, \ \forall n |
|---|
|
.
...
