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XCRM – Liquid-Control Cross-well Capacitance Resistance Model
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p_n(t) = p_{nr}(0) + (\tau_n / \gamma_n) \cdot q_n(t) + \gamma_n^{-1} \cdot \sum_m \Delta Q_{nm} |
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\Delta Q_{nm} =
- f^{\uparrow}_{O,nm} \ \cdot B_{ob} \cdot \, Q^{\uparrow}_O
+ f^{\downarrow}_{G,nm} \ \cdot B_{go} \cdot Q^{\downarrow}_G
- f^{\uparrow}_{G,nm} \ \cdot B_{go} \cdot Q^{\uparrow}_G
+ B_{go} \cdot Q^{\downarrow}_{GCAP} \ \
+ f^{downarrow}_{W,nm} \ \cdot B_w \cdot \left( Q^{\downarrow}_W
- f^{\uparrow}_{W,nm} \ \cdot B_w \cdot Q^{\uparrow}_W
+ B_w \cdot Q^{\downarrow}_{WAQ}
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Q_m(t) = \int_0^t q_m(t) \, dt |
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B_{og} = \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
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B_{go} = \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} |
Some extensions to conventional CRM model can be found in XCRM – Liquid-Control Cross-well Capacitance Resistance Model @model.
ELPM – Explicit Linear Production Model
Some extensions to conventional CRM model can be found in Explicit Linear Production Model
where
In regular case , the initial formation pressure at datum is the same for all wells: LaTeX Math Inline
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Capacitance Resistance Model (CRM)
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