Modelling facility for field-average formation pressure
at and Bottom-Hole Pressure ( for producers and | LaTeX Math Inline |
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| body | p^{\downarrow}_{wf}(t) |
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for injectors) at any time moment as response to production flowrates history:
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| anchor | MatBal |
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| alignment | left |
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| A_e \, h_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp = \Delta Q (t) = Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) + V^{\downarrow}_{GC}(t) + V^{\downarrow}_{AQ}(t) |
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| LaTeX Math Block |
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| anchor | BHP_PROD |
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| alignment | left |
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| p^{\uparrow}_{wf}(t) = p(t) - \frac{1}{J^{\uparrow}} \frac{dQ^{\uparrow}}{dt} |
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| LaTeX Math Block |
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| anchor | BHP_INJ |
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| alignment | left |
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| p^{\downarrow}_{wf}(t) = p(t) - \frac{1}{J^{\downarrow}} \frac{dQ^{\downarrow}}{dt} |
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