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Hall plot

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Plotting 

LaTeX Math Inline
bodyP(t) = \int_0^t \left( p_{wf}(\tau) - p_e(\tau) \right) d\tau
 vs 
LaTeX Math Inline
bodyQ(t) = \int_0^t q_t(\tau) d\tau

...

LaTeX Math Block
anchorpwf
alignmentleft
P(t) = J^{-1} Q(t)

where

LaTeX Math Inline
bodyJ=\rm const

constant productivity index


Although it is equally applicable to both producers and injectors, due to pressure data availability in practical cases the hall plot sought the most of its applications for water injectors.

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