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One of the Productivity Diagnostics methods based on relation between average pressure drawdown 

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body--uriencoded--\overline %7B\delta p%7D

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\overline {\delta p} (t) = \frac{1}{t} \int_0^t \left( p_{wf}(\tau) - p_e(\tau) \right) d\tau

and total sandface flowrate cumulativecumulatives 

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body\bar q_t(t)
:

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\bar q_t(t) = \frac{1}{t} \int_0^t q_t(\tau) d\tau
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body--uriencoded--\displaystyle \overline %7B\delta p%7D (t) = \frac%7B1%7D%7Bt%7D \int_0%5et \left( p_%7Bwf%7D(\tau) - p_e(\tau) \right) d\tau

...

d\tau

where

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body\tau

production/injection time

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bodyq_t

total sandface flowrate as function of time 

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body\tau

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bodyp_e

drain-area formation pressure as function of time 

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body\tau
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body\tau

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body--uriencoded--p_%7Bwf%7D

bottomhole pressure  as function of time 

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body\tau

...