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The equations
LaTeX Math Block Reference |
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and
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are often used in express assessment of thief water production share
LaTeX Math Inline |
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body | --uriencoded--\omega%5e%7BOmega%5e%7B\uparrow%7D_W |
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and thief water injection
LaTeX Math Inline |
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body | --uriencoded--\omega%5e%7Bdownarrow%7DOmega%5e%7B\downarrow%7D_W |
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:
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| p_i - p(t) = \alpha \cdot Q^{\uparrow}_O(t) + \beta \cdot Q^{\uparrow}_W(t) - \gamma \cdot Q^{\downarrow}_W(t) |
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anchor | conditions |
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alignment | left |
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| \alpha > 0, \quad \beta > 0, \quad \gamma > 0 |
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| V_\phi = \frac{ 1 }{ \alpha \cdot c_t} \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
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anchor | omega_up |
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alignment | left |
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omega^Omega^{\uparrow}_W = \frac{\beta}{\alpha} \cdot \frac{1}{B_w} \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
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anchor | omega_down |
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alignment | left |
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omega^Omega^{\downarrow}_W = \frac{\gamma}{\alpha} \cdot \frac{1}{B_w} \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
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Panel |
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bgColor | papayawhip |
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title | ARAX |
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| The MatBal equation LaTeX Math Block Reference |
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anchor | MatBal |
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page | Material Balance Pressure @model |
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| can be re-written as following: LaTeX Math Block |
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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 |
| LaTeX Math Block |
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anchor | MatBal_formula |
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alignment | left |
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| \delta p_i = \frac{ B_{og} \, F_{Oi} + B_{go} \, F_{Gi} + B_w \, F_W -1}{c_\phi} |
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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 |
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