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One of the Productivity Diagnostics methods based on relation on correlation between weighted average pressure drawdown integral  LaTeX Math Inlinebody--uriencoded--\displaystyle \overline %7B\delta p%7D (t) = \frac%7B1%7D%7BQ%7D \int_0%5et \left( p_%7Bwf%7D(\tau) - :

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

 and and weighted-average total sandface flowrate cumulatives  LaTeX Math Inlinebody--uriencoded--\displaystyle \bar :

\bar q_t(t) =

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 \frac{1}{Q} \int_

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0^t q^2_t(\tau) d\tau

where

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In case pressure data is available for a fair interpolation it is recommended to plot sandface cumulatives rather than surface which provides better linearity for stabilized reservoir flow.Although it is equally applicable to producers and injectors, due to lack of BHP and formation pressure data availability for producers in most practical cases in the past the Hall plot analysis was mostly applied for water injectors.

The average pressure drawdown 

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