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 | LaTeX Math Inline |
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| q_t = q_o |
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Gas gWater wTotal t
In
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this case the relation between the Sandface flowrates
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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} |
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\rho_o = \frac{m_o}{q_o}= \frac{\rho_O + \rho_G \, R_s}{B_o} |
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anchor | mm\rhoo = \frac{\rho_+\rhoGR_s}{B_o} \cdot o\frac{ B_g \cdot ( q_G - R_s \, q_O) |
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}{1- R_v \, R_s}rho_g | alignment | left\rho_g = \frac{m_g}{g}= \frac{\rho_G + \rho_O \, R_v}{B_g}| LaTeX Math Block |
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m_g = \rho_g \cdot q_g = \frac{\rho_G + \rho_O \, R_v}{B_g} \cdot q_g |
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anchor | q__w \cdot q_W| LaTeX Math Block |
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\rho_w =\frac{m_w}{q}= frac{\rho_W}{B_w}| LaTeX Math Block |
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m_w = \rho_w \cdot q_w = \frac{\rho_W}{B_w} \cdot q_w |
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q_t = q_o + q_g + q_w |
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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 \dot m_O
+\frac{Bg - B_o \, R_v}{(1-R_v \, R_s) \, \rho_G} \cdot \dot m_G
+ \frac{B_w}{\rho_} \cdot \dot m_W
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\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 ]
