Volumetric flowrate of the fluid phase across all fluids across the well-reservoir contact.
In most popular practical case of a 3-phase fluid model this will be:
Oil | Gas sandface flowrate |
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| LaTeX Math Block |
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| q_t = q_o + q_g + q_w |
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gWater wTotal t
In
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this case the relation between the Sandface flowrates
| LaTeX Math Inline |
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| body | --uriencoded--\%7B q_o, \, q_g, \, q_w \%7D |
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and Surface Flowrates | LaTeX Math Inline |
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| body | --uriencoded--\%7B q_O, \, q_G, \, q_W \%7D |
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is given by Modified Black Oil fluid @model: | LaTeX Math Block |
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q_o = \frac{ B_o \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s} |
| LaTeX Math Block |
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\rho_o = \frac{\rho_O + \rho_G \, R_s}{B_o} |
| LaTeX Math Block |
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anchor | mm\rhoo = \frac{\rho_+\rhoG R_s}{B_o} \cdoto\frac{ B_g \cdot ( q_G - R_s \, q_O) |
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}{1- R_v \, R_s}| LaTeX Math Block |
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\rho_g = \frac{\rho_G + \rho_O \, R_v}{B_g}| alignment | left |
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m_g = \rho_g \cdot m_g | _g = \frac{\rho_G + \rho_O \, R_v}{B_g} \cdot q_g | LaTeX Math Block |
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q_w = B_w \cdot q_W |
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\rho_w = \frac{\rho_W}{B}| anchor | m_w |
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| LaTeX Math Block |
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m_w = \rho_w \cdot \frac{\rho_W}{_w} \cdot q_w| LaTeX Math Block |
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q_t = q_o + q_g + q| LaTeX Math Block |
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q_t= frac{B_o - B_g \ R_v}{1-R_v \, R_s} \cdot_O
+\frac{B_g - B_o \, R_v}{1-R_v \, R_s} \cdot q_G
+ B_w \cdot q_W| LaTeX Math Block |
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q_t = \frac{B_o - B_g \, R_v}{(1-R_v \, R_s) \rho_O} \cdot m_O
+\frac{B_g - B_o \, R_v}{(1-R_v \, R_s) \, \rhoG} \cdot m_G
+ \frac{B_w}{\rho_} \cdot m_W
| LaTeX Math Block |
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| anchor | qt2 |
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alignment | left\rho_t = (\dot m_O + \dot m_G + \dot m_G)/q_t |
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See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate
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[ Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ] [ Total sandface flowrate ]
[ Volatile Oil Fluid @model ]
