Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

One of the  Productivity Index diagnostics methods based on plotting pressure integral 

LaTeX Math Inline
body--uriencoded--G(t) = \int_0%5et \left( p_%7Bwf%7D(\tau) - p_e(\tau) \right) d\tau
 vs cumulatives 
LaTeX Math Inline
body--uriencoded--Q_t(t) = \int_0%5et q_t(\tau) d\tau

where

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\tau

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

bottomhole pressure  as function of time 

LaTeX Math Inline
body\tau


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

...

In case pressure data is available for a fair interpolation it is recommended to plot subsurface sandface cumulatives rather than than surface which  which provides better linearity with pressure integral for Steady-State flow.

...