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titleDerivation
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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_tc_t \, V_\phi}


Eliminating

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one arrives to
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.

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