...
| LaTeX Math Block |
|---|
| Q_m(t) = \int_0^t q_m(t) \, dt |
| | LaTeX Math Block |
|---|
| B_{og} = \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
| | LaTeX Math Block |
|---|
| B_{go} = \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} |
|
...
The objective function is:
| LaTeX Math Block |
|---|
|
E[\tau_n, \gamma_n, f_{nm}] = \sum_k \sum_n \left[ w_e \cdot \left( p_{e,n} \ (t_k) - \tilde p_{e,n} \ (t_k) \right)^2
+ w_{wf} \cdot \left( p_{wf,n} \ (t_k) - \tilde p_{wf,n} \ (t_k) \right)^2. + \right] \rightarrow \min |
The constraints are:
| LaTeX Math Block |
|---|
|
\tau_n \geq 0 , \quad \gamma_n \geq 0, \quad f_{nm} \geq 0 , \quad \sum_i^{N^{\uparrow}} f_{nm} \leq 1 |
In regular case , the initial formation pressure at datum is the same for all wells:
| LaTeX Math Inline |
|---|
| body | --uriencoded-- p_%7Bnr%7D(0) = p_i = %7B\rm const%7D, \ \forall n |
|---|
|
...
