Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

  • fast-track

  • based on the most robust input data

  • does not involve full-field 3D dynamic modelling and associtated assumptions



CRM – Single-Tank

...

Capacitance Resistance Model


The simulation is based on the following equation:

LaTeX Math Block
anchor1
alignmentleft
q_m\bar q^{\uparrow}(t) =  f \, Iq^{\downarrow}(t)  - \tau \, \cdot \, \frac{ d q_m(t) }\bar q^{\uparrow}}{ dt }  - J \, \tau \, \frac{d p_{wf }(t)}{dt}


The target function is:

LaTeX Math Block
anchorM00IX
alignmentleft
\sum_k \big( qq^*_p(t_k) - q_mp(t_k) \big)^2   \rightarrow \min 


CRMP – Multi-tank Producer-based

...

Capacitance Resistance Model

LaTeX Math Block
anchorO2A2V
alignmentleft
q_jq^*_{p, \, j} (t) = \sum_i^{n_i} f_{ij} I_iq_{in, \,i}(t)  - \tau_j \, \frac{ d q_jq^*_{p, \, j}(t) }{ dt }  - J_j \, \tau_j \, \frac{d p_{wf, \, j }(t)}{dt} \,


ICRM  – Multi-Tank

...

Integrated Capacitance Resistance Model


LaTeX Math Block
anchorLBWVO
alignmentleft
qQ_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}

...