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The Capacitance-Resitivity Model is a class of mathematical models relating the production rate history to the history of bottom-hole pressure and injection rate history of the offset wells.
It can be considered as the PDG interpretation.
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q_j (t) = \sum_i^{n_i} f_{ij} I_i(t) - \tau_j \, \frac{ d q_j(t) }{ dt } - J_j \, \tau_j \, \frac{d p_{wf, j }(t)}{dt} |
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| p_{wf}(t) = p_r(t) - \frac{q(t)}{J} |
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| p_r(t) = p_i + \frac{1}{c_t \, V_{\phi}} \, \Bigg[ \int_0^t q_i(\tau) d\tau - \int_0^t q(\tau) d\tau \Bigg] |
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