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titleDerivation

Const PI expansion:

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q_{WAQ} = \frac{d Q_{WAQ}}{dt} = J \cdot ( p_{AQ} - p(t))


Finite-volume reservoir PSS depletion:

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p_{AQ} = p_i - \frac{Q_{WAQ}}{V_{WAQ} c_t}






See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Aquifer Expansion / Aquifer expansion @model

Reference

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 1.   Fetkovich, M.J. 1971. A Simplified Approach to Water Influx Calculations—Finite Aquifer Systems. J Pet Technol 23 (7): 814–28. SPE-2603-PA. http://dx.doi.org/10.2118/2603-PA