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anchor | MatBal_formula |
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alignment | left |
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| p = p_i + \frac{\delta Q}{c_\phi \, V_\phi} + \delta p_i |
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anchor | MatBal_formula |
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alignment | left |
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| \delta p_i = \frac{ B_{og}(p) \, F_{Oi} + B_{go}(p) \, F{Gi} + B_w(p) \, F_W -1}{c_\phi}
= \frac{B_o - R_s \, B_g}{1- R_s \, R_v} \cdot F_O
+\frac{ B_g - R_v \, B_o}{1- R_s \, R_v} \cdot F_G
+B_w \, F_W |
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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} |
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where
The MatBal equation
LaTeX Math Block Reference |
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can be complemented by constant
PI model of Bottom-Hole Pressure ( for
producers and
LaTeX Math Inline |
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body | p^{\downarrow}_{wf}(t) |
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for
injectors):...