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p_n(t) = p_n(0) - \tau_n / \gamma_n  \cdot \big[ q^{\uparrow}_n(t) - q^{\uparrow}_n(0) \big]  - \gamma_n^{-1} \cdot Q^{\uparrow}_n (t) + \gamma_n^{-1} \cdot \sum_m f_{nm} \ Q^{\downarrow}_m(t)  


The objective function is:

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If 

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body--uriencoded--p_%7Bnr%7D(0)
 is known then it can be fixed during the search loop which normally improves the quality of future production forecasts.


XCRM  – Liquid-Control Cross-well Capacitance Resistance Model


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p_n^{\uparrow}(t) = p_{nr}(0) + (\tau_n / \gamma_n)  \cdot  q^{\uparrow}_n(t)  - \gamma_n^{-1} \cdot Q^{\uparrow}_n (t) + \gamma_n^{-1} \cdot  
\left[ \sum_m f_{nm}  \ Q_m^{\downarrow}(t)   + \sum_m g_{nm}  \ Q_m^{\uparrow}(t) \right]



See Also

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Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Capacitance Resistance Model (CRM)

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