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Modelling facility for field-average formation pressure
at any time moment as response to production flowrates history:| LaTeX Math Block |
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| anchor | MatBal |
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| alignment | left |
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A_eheint_{p_i}^p \phi_e(p, G_O +(B_g - R_V \, B_o) \, |
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c_t(p)dp=\Delta Q (t) = Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) + Q^{\downarrow}_{GC}(t) + Q^{\downarrow}_{AQ}(t) |
| LaTeX Math Block |
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| G_O = V^{-1} \, \delta \, Q_O + \phi_i \, \left[ \frac{s_{oi}}{B_{oi}} + \frac{R_{vi}\, s_{gi}}{B_{gi}}\right] |
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c_t(s,p) = c_r + c_w s_w + c_o s_o + c_g s_g + s_o [ R_{sp} + (c_r + c_o) R_{sn} ] + s_g [ R_{vp} + R_{vn}(c_r + c_g) ] |
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| s_w(t) = s_{wi} + (1-s_{wi}) \cdot \rm RFO(t)/E_S |
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| LaTeX Math Block |
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s_g(t) = s_{wi} + (1-s_{wi}) \cdot \rm RFG(t)/E_S\delta \, Q_O = - Q^{\uparrow}_O |
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| LaTeX Math Block |
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| G_G = V^{-1} \, \delta \, Q_G + \phi_i \, \left[ \frac{R_{si}\, s_{oi}}{B_{oi}} + \frac{ s_{gi}}{B_{gi}}\right] |
| | LaTeX Math Block |
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| \delta \, Q_G = Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\uparrow}_{GCAP} |
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| LaTeX Math Block |
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| G_W = V^{-1} \, \delta \, Q_W + \frac{ \phi_i \, s_{wi}}{B_{wi}} |
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| \delta \, Q_W = Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\uparrow}_{WAQ} |
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where
| | | |
| | | full-field cumulative offtakes by the time moment |
| | | full-field cumulative intakes by the time moment |
| | | LaTeX Math Inline |
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| body | Q^{\downarrow}_{GC}(t) |
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| cumulative gas influx from Gas Cap Expansion |
| | | LaTeX Math Inline |
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| body | Q^{\downarrow}_{AQ}(t) |
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| cumulative water influx from Aquifer Expansion |
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| LaTeX Math Inline |
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| body | --uriencoded--s_%7Bwi%7D |
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| Initial water saturation | | Oil and Gas Recovery Factor |
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