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The equations can be finally explicitly express sturations:
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| s_o = \frac{B_o \, (G_o - R_v \, G_G)}{\phi_n \, (1- R_s \, R_v)} |
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| s_g = \frac{B_g \, (G_G - R_s \, G_O)}{\phi_n \, (1- R_s \, R_v)} |
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| s_w = \frac{B_w \, G_W}{\phi_n} |
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Now summing up and taking into account that
one arrives to a single equation:
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| \frac{B_o \, (G_o - R_v \, G_G)}{\phi_n \, (1- R_s \, R_v)} + \frac{B_g \, (G_G - R_s \, G_O)}{\phi_n \, (1- R_s \, R_v)} + \frac{B_w \, G_W}{\phi_n} =1 |
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| B_o \, (G_o - R_v \, G_G) + B_g \, (G_G - R_s \, G_O) + B_w \, G_W \, (1- R_s \, R_v) = \phi_n \, (1- R_s \, R_v) |
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| LaTeX Math Block |
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| anchor | MatBal |
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| alignment | left |
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| (B_o - R_s \, B_g) \, G_O +(B_g - R_V \, B_o) \, G_G + (B_w \, G_W - \phi_n )\, (1- R_s \, R_v) = 0 |
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| | LaTeX Math Inline |
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| body | --uriencoded--\phi_n(p) = \phi_e(p)/\phi_%7Bei%7D |
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| normalized porosity |
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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 | --uriencoded--\phi_%7Bei%7D = \phi_e(p_i) |
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| initial effective porosity |
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| | LaTeX Math Inline |
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| body | Q^{\downarrow}_{AQ}(t) |
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| cumulative water influx from Aquifer Expansion | | | | | | Initial water saturation | | Oil and Gas Recovery Factor |
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