One of the Productivity Diagnostics methods based on relation between pressure integral
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| body | --uriencoded--G\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 |
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and
total sandface flowrate cumulatives | LaTeX Math Inline |
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| body | --uriencoded--Q\displaystyle \bar q_t(t) = \frac%7B1%7D%7Bt%7D \int_0%5et q_t(\tau) d\tau |
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G\overline {\delta p}(t) = J^{-1} Q\bar q_t(t) |
where
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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 The pressure integral drawdown integral
is usually calculated over interpolated values of
formation pressure and
bottomhole pressure :
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G(t) = \int_0^t \left( p_{wf}(\tau) - p_e(\tau) \right) d\tau = \sum_k \left( p_{wf}(\tau_k) - p_e(\tau_k) \right) \delta \tau_k |
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Productivity Diagnostics
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