Definition
The Capacitance-Resistance Model is a class of mathematical models relating the production rate history to the offset injection rate history with or without account fro the producers bottom-hole pressure variation.
In case the bottom-hole pressure data is available via Permanent Downhole Gauge (PDG) records it can be considered as the PDG interpretation facility in terms of injection → production connectivity.
In case he bottom-hole pressure data is not available the bottom-hole pressure is considered constant over time.
(1) | 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} |