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One of the Productivity Diagnostics methods based on correlation between pressure drawdown  \Delta p = p_e - p_{wf} and  total sandface flowrate  q_t(t), where:

p_e

drain-area formation pressure as function of time  \tau \tau

p_{wf}

bottomhole pressure  as function of time  \tau


It shows unit slope on log-log plot for stabilized reservoir flow:

(1) \Delta p(t) = J^{-1} \bar q_t(t)

where

J

constant productivity index


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 normalized Hall plot analysis was mostly applied for water injectors.

Since the BHP and formation pressure data are not readily available for the same time moment the interpolation is required, which usually lead to a high degree of uncertainty.


More practical solutions are achieved via group of cumulative-based Productivity Diagnostics methods: t-weighted J-plotq-weighted J-plot and Hall Plot.


See Also


Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Productivity Diagnostics



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