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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} \
- \frac{B_o - R_s \, B_g}{1- R_s \, R_v{ob} \cdot \, Q^{\uparrow}_O + \frac{ B_g - R_v \, B_o}{1- R_s \, R_v{go} \cdot \, \left( Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\downarrow}_{GCAP} \right) + B_w \, \left( Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\downarrow}_{WAQ} \right) |
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| Q_m(t) = \int_0^t q_m(t) \, dt |
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| B_{og} = \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
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| B_{go} = \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} |
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where
In regular case , the initial formation pressure at datum is the same for all wells:
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| body | --uriencoded-- p_%7Bnr%7D(0) = p_i = %7B\rm const%7D, \ \forall n |
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