changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Nov 27, 2021
Saved on Nov 28, 2021
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\tau \cdot \frac{d Q^{\downarrow}_{AQ}}{dt} + \frac{1}{\tau} Q^{\downarrow}_{AQ} = с_t \, V_\phi \cdot \left[ p_i - p(t) \right]
q^{\downarrow}_{AQ}(t)=\frac{d Q^{\downarrow}_{AQ}}{dt}
Q^{\downarrow}_{AQ}(t) = cJ_t{AQ} \, V_\phi \, \exp \left( -\frac{t}{\tau} \right) \, \int_0^t \big[ p_i - p(\xi) \big] \, \exp \left( \frac{\xi}{\tau} \right) \, d \xi
Assumption #1 = Const Productivity Index Aquifer:
q_{AQ} = \frac{d Q_{AQ}}{dt} = J_{AQ} \cdot ( p_{AQ}(t) - p(t))
Assumption #2 = Pseudo Steady State Flow:
p_{AQ}(t) = p_i - \frac{Q_{AQ}}{V_{AQ} c_tc_t \, V_\phi}
Eliminating
