Depending on context may mean:

The difference between cumulative production and cumulative offtakes is that cumulative offtakes recalculates produced surface volumes to sandface conditions and accounts for the shrinkage factors and cross-phase exchange coefficients dependence on formation pressure $\begin{array}{l}p_e(t)\end{array}$ and formation temperature $\begin{array}{l}T_e(\tau)\end{array}$ which may vary over time:

^{(no reference to the fluid)}

^{(no reference to the fluid)}

$\begin{array}{l}Q^{\uparrow}_p = \int_0^t q^{\uparrow}(\tau) d\tau\end{array}$

$\begin{array}{l}Q^{\uparrow}_{\rm off} = \int_0^t B(p_e(\tau), T_e(\tau)) q^{\uparrow}(\tau) d\tau\end{array}$

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