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XCRM  – Liquid-Control Cross-well Capacitance Resistance Model

p_n(t) = p_{nr}(0) + (\tau_n / \gamma_n)  \cdot  q_n(t)  - \gamma_n^{-1} \cdot Q_n (t) + \gamma_n^{-1} \cdot  
 \sum_{m \neq n}f_{nm}  \ 
 -  B_{ob} \cdot  \, Q^{\uparrow}_O + B_{go} \cdot \, \left( Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\downarrow}_{GCAP} \right) + B_w \, \left( Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\downarrow}_{WAQ} \right)  

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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 Inlinebody--uriencoded-- p_%7Bnr%7D(0) = p_i = %7B\rm const%7D, \ \forall n

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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