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LaTeX Math Inline
bodyq^{\uparrow}(t)

total surface production

LaTeX Math Inline
bodyq^{\downarrow}(t)

total surface injection

LaTeX Math Inline
bodyf

share of injection which actually contributes to production

LaTeX Math Inline
bodyp_{wf}(t)

average bottomhole pressure in producers

LaTeX Math Inline
body\tau


LaTeX Math Inline
body\beta



The target function is:

LaTeX Math Block
anchorM00IX
alignmentleft
E[\tau, \beta, f] = \sum_k \big[ q^{\uparrow}(t_k) - \tilde q^{\uparrow}(t_k) \big]^2   \rightarrow \min 

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