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For volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as:
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| q^{\uparrow}_t = q^{\uparrow}_w + q^{\uparrow}_o + q^{\uparrow}_g = B_w \, q^{\uparrow}_W + (B_o - R_s \, B_g) \, q^{\uparrow}_O + (B_g - R_v \, B_o) \, q^{\uparrow}_G
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| | LaTeX Math Block |
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| q^{\downarrow}_t = q^{\downarrow}_w + q^{\downarrow}_g = B_w \, q^{\downarrow}_W + B_g \, q^{\downarrow}_G
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where
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| body | --uriencoded--q%5e%7B\uparrow%7D_w |
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, | LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_o |
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, | LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_g |
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| water sandface flowrate, oil sandface flowrate, gas sandface flowrate |
| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_W |
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, | LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_O |
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, | LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\uparrow%7D_G |
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| Water surface flowrate, produced water surface flowrate, oil surface flowrate, gas surface flowrate |
| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\downarrow%7D_W |
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, | LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\downarrow%7D_G |
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| injected water | Oil surface flowrate, | Gas gas surface flowrate |
| formation volume factors between sandface pressure/temperature conditions and surface measurement unit (usually separator or processing plant) for water, oil, gas |
| Solution GOR and Vaporized oil ratio at sandface pressure/temperature conditions |
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