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



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J(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} }

...


where
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bodyQ_{WAQ}(t)
water influx from aquifer at time moment 
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bodyt
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bodyJ(t)
aquifer productivity index at  time moment 
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bodyt
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bodyp_i
initial formation pressure
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bodyp(t)
field-average formation pressure at time moment 
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bodyt
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body\sigma
aquifer transmissibility
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body\chi
aquifer diffusivity 
...