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| LaTeX Math Block |
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| Q_m(t) = \int_0^t q_m(t) \, dt |
| | LaTeX Math Block |
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| B_{og} = \frac{B_o - R_s \, B_g}{1- R_s \, R_v} |
| | LaTeX Math Block |
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| B_{go} = \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} |
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whereThe value of
can be linked to drainable volume | LaTeX Math Inline |
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| body | --uriencoded--V_%7B\phi, n%7D |
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as:| LaTeX Math Block |
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| \gamma_n = c_{t,n} \cdot V_{\phi, n} = (c_r + s_{w,n} \cdot c_w + s_{o,n} \cdot c_o + s_{g,n} \cdot c_g) \cdot \phi_n \cdot V_n |
| | LaTeX Math Block |
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| s_{w,n} + s_{o,n} + s_{g,n} = 1 |
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In case of Water Injector :
| LaTeX Math Inline |
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| body | --uriencoded-- s_%7Bo,n%7D = s_%7Bor%7D, \quad s_%7Bg,n%7D = 0, \quad s_%7Bw,n%7D = 1 - s_%7Bor%7D |
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.In case of Gas Injector:
| LaTeX Math Inline |
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| body | --uriencoded-- s_%7Bo,n%7D = 0, \quad s_%7Bg,n%7D =1- s_%7Bwcg%7D, \quad s_%7Bw,n%7D = s_%7Bwcg%7D |
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.
The objective function is:
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