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Equations
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| \frac{d Q^{\downarrow}_{AQ}}{dt} = \frac{ B \cdot (p_i - p(t)) - Q_{AQ} \cdot p'_D(t)}{p_D(t) - t \cdot pip'_D(t)} |
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| q^{\downarrow}_{AQ}(t)=\frac{d Q^{\downarrow}_{AQ}}{dt} |
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Assumption #1 = Const Productivity Index Aquifer:
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q_{AQ} = \frac{d Q_{AQ}}{dt} = J_{AQ} \cdot ( p_{AQ}(t) - p(t)) |
Assumption #2 = Pseudo Steady State Flow:
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p_{AQ}(t) = p_i - \frac{Q_{AQ}}{V_{AQ} c_t} |
Eliminating one arrives to | LaTeX Math Block Reference |
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.Equation
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is not a solution of diffusion equation but an approximation of VEH model
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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