Depending on the context may mean:

The difference between cumulative injection and cumulative intakes is that cumulative intakes accounts for the shrinkage factors and cross-phase exchange coefficients which depend on formation pressure $\begin{array}{l}p_e(t)\end{array}$ and formation temperature $\begin{array}{l}T_e(\tau)\end{array}$ and may vary over time:

^{(no reference to the fluid)}

^{(no reference to the fluid)}

$\begin{array}{l}Q^{\downarrow}_{\rm inj} = \int_0^t q^{\downarrow}(\tau) d\tau\end{array}$

$\begin{array}{l}Q^{\downarrow}_{\rm in} = \int_0^t B(p(\tau), T(\tau)) q^{\downarrow}(\tau) d\tau\end{array}$

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