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LaTeX Math Block
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p_n(t) = p_{nr}(0) + (\tau_n / \gamma_n)  \cdot  q_n(t)  - \gamma_n^{-1} \cdot Q_n (t) + \gamma_n^{-1} \cdot  
 \sum_{m \neq n}f_{nm}  \ Q_m(t) 
LaTeX Math Block
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Q_m(t) =  \int q_m(t) \, dt

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

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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