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The major difference between cumulative offtakesproduction and cumulative production is offtakes is that cumulative offtakes recalculates produced surface volumes to sandface conditions and accounts for the shrinkage factors and cross-phase exchange coefficients  which depend  dependence on formation pressure 

LaTeX Math Inline
bodyp_e(t)
 and formation temperature 
LaTeX Math Inline
bodyT_e(\tau)
 
and which may vary over time:

offtakes{\rm off} B(p(\tau), T(\tau))

Cumulative

production

(no reference to the fluid)

Cumulative productionofftakes

(no reference to the fluid)

LaTeX Math Inline
bodyQ^{\uparrow}_

p = \int_0^t

q^{\uparrow}(\tau) d\tau

LaTeX Math Inline
bodyQ^{\uparrow}_p {\rm off} = \int_0^t B(p_e(\tau), T_e(\tau)) q^{\uparrow}(\tau) d\tau


See Also

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