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Assumptions
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Oil field performs as single well with | A_e | cross-sectional area in | LaTeX Math Inline |
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body = \rm constAquifer pressure is constant | | Aquifer Productivity Index is constant | - \frac{Q_{AQ}}{V_{AQ} c_t} |
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Equations
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| LaTeX Math Block |
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| \frac{d Q^{\downarrow}_{AQ}}{dt} + \frac{1}{\tau} Q^{\downarrow}_{AQ} = J \cdot ( p_i - p(t)) |
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| LaTeX Math Block |
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| q^{\downarrow}_{AQ}(t)=\frac{d Q^{\downarrow}_{AQ}}{dt} |
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| Expand |
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Const PI expansion: | LaTeX Math Block |
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| q_{AQ} = \frac{d Q_{WAQ}}{dt} = J_{AQ} \cdot ( p_{AQ} - p(t)) |
Finite-volume reservoir PSS depletion: | LaTeX Math Block |
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| p_{AQ}(t) = p_i - \frac{Q_{WAQAQ}}{V_{WAQ} c_t} |
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See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Aquifer Drive / Aquifer Drive @model
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