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- fast-track
- based on the most robust input data
- does not involve full-field 3D dynamic modelling and associtated assumptions
Single-Tank CRM
The simulation is based on the following equation:
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q_m(t) = f \, I(t) - \tau \, \frac{ d q_m(t) }{ dt } - J \, \tau \, \frac{d p_{wf }(t)}{dt} |
The target function is:
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\sum_k \big( q(t_k) - q_m(t_k) \big)^2 \rightarrow \min |
Multi-tank Producer-based CRMP
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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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Multi-Tank Producer-Injector based CRM
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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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| Expand |
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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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