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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, k}(t) = p(t) - {J^{\uparrow}_k}^{-1} \cdot \frac{dQ^{\uparrow}_k}{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, k\, j}(t) = p(t) - {J^{\downarrow}_ij}^{-1} \cdot \frac{dQ^{\downarrow}_kj}{dt} |
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where | where |
LaTeX Math Inline |
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body | p^{\uparrow}_{wf, \, k}(t) |
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| \, | field-average BHP in producers | LaTeX Math Inline |
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body | p^{\downarrow}_{wf, \, j}(t) |
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| cumulative offtakes from -th producer by the time moment | | |
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In practice there is no way to measure the external influx
LaTeX Math Inline |
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body | Q^{\downarrow}_{GC}(t) |
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and
LaTeX Math Inline |
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body | Q^{\downarrow}_{AQ}(t) |
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so that one need to model them and calibrate model parameters to fit available data on
production flowrates history and
formation pressure data records.
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