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The major difference between cumulative offtakes and cumulative production is that cumulative offtakes accounts for the shrinkage factors and cross-phase exchange coefficients  which depend on formation pressure  p_e(t) and formation temperature  T(\tau) and may vary over time:

Cumulative offtakesCumulative production

Q = \int_0^t B(p(\tau), T(\tau)) q(\tau) d\tau

Q = \int_0^t q(\tau) d\tau

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