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qq^{\uparrow}_t = qq^{\uparrow}_w + qq^{\uparrow}_o + qq^{\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 |
where
| water sandface flowrate, oil sandface flowrate, gas sandface flowrate | ||||||||||||
| Water surface flowrate, Oil surface flowrate, Gas surface flowrate | ||||||||||||
| formation volume factors between sandface pressure/temperature conditions and surface measurement unit (usually separator or processing plant) | ||||||||||||
| Solution GOR and Vaporized oil ratio at sandface pressure/temperature conditions |
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qq^{\uparrow}_t = \Big[ B_w Y_W + \Big( \, (B_o - R_s B_g) + Y_G \cdot (B_g - R_v B_o) \, \Big) \cdot (1-Y_W) \Big] \cdot q^{\uparrow}_L |
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qq^{\uparrow}_t = B_w \, q^{\uparrow}_W + (B_o - R_s \, B_g) \, q^{\uparrow}_O + B_g \, q^{\uparrow}_G |
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qq^{\uparrow}_t = \Big[ B_w Y_W + \Big( \, (B_o - R_s B_g) + Y_G \cdot B_g \, \Big) \cdot (1-Y_W) \Big] \cdot q^{\uparrow}_L |
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qq^{\uparrow}_t = B_w \, q^{\uparrow}_W + B_o \, q^{\uparrow}_O = \Big[ B_w Y_W + B_o \cdot (1- Y_W) \Big] \cdot q^{\uparrow}_L |
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qq^{\uparrow}_t = q B, \quad {\rm meaning:} \quad q_t = q^{\uparrow}_W \cdot B_w \quad {\rm or} \quad q_t = q^{\uparrow}_O \cdot B_o \quad {\rm or} \quad q_t = q^{\uparrow}_G \cdot B_G |
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