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LaTeX Math Inline
body\tau

production/injection time

LaTeX Math Inline
bodyq_t

total sandface flowrate as function of time 

LaTeX Math Inline
body\tau

LaTeX Math Inline
bodyp_e

drain-area formation pressure as function of time 

LaTeX Math Inline
body\tau

LaTeX Math Inline
body--uriencoded--p_%7Bwf%7D

bottomhole pressure  as function of time 

LaTeX Math Inline
body\tau

LaTeX Math Inline
bodyQ_t

total sandface cumulative offtake/intake

LaTeX Math Inline
body--uriencoded--Q_t(t) = \int_0%5et q_t(\tau) d\tau


Image Modified

Fig. 1. q-weighted J-plot

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When flowrate is constant 

LaTeX Math Inline
bodyq=\rm const
 both methods are equivalent because
LaTeX Math Inline
body--uriencoded--\displaystyle w(t) = \frac%7Bq_t%7D%7BQ%7D =\frac%7B1%7D%7Bt%7D
.


The q-weighted J-plot provides the same accuracy of productivity index estimation as Hall Plot but additionally provides a useful insight into the ranges of historically averaged flowrates and drawdowns.


See Also

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

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