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| LaTeX Math Block |
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| anchor | MatBal |
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| alignment | left |
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| A_e \, h_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp = \Delta Q (t) = Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) + Q^{\downarrow}_{GC}(t) + Q^{\downarrow}_{AQ}(t) |
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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 E_{Dow}RFO(t)/E_S |
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| s_g(t) = s_{wi} + (1-s_{wi}) \cdot \rm RFORFG(t)/E_S |
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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 |
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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 |
The MatBal equation
| LaTeX Math Block Reference |
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is often 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):...
