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p(t) = p_0 + \int_0^t p_u(t-\tau) \, dq(\tau) = p_0 + \int_0^t p_u(t-\tau) \, \dot q(\tau) \, d\tau |
where
| initial formation pressure at zero time
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| Drawdown Transient Response | ||||||||
| a pace of sandface flow rate variation per unit time |
In case a well is interfering with the offset wells the pressure in a given well
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p_n(t) = p_{n, 0} + \sum_{m=1}^N \int_0^t p_{u,nm}(t-\tau) \, dq_m(\tau) = p_{n, 0} + \sum_{m=1}^N \int_0^t p_{u,nm}(t-\tau) \, \dot q_m(\tau) \, d\tau |
where
| initial formation pressure at zero time
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