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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body |
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| q_t = q_o |
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Gas gWater wTotal t
In this case
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the relation between the Sandface flowrates
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| body | --uriencoded--\%7B q_ |
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and Surface Flowrates
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is given ...
by Modified Black Oil fluid @model:
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\frac{ }{1- R_v \, R_s}| rho_o | | alignment | left |
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\rho_o = \frac{m_o}{_o}= \frac{\rho_O + \rhoG \, R_s}{B_o}| LaTeX Math Block |
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m_o = \rho_o \cdot q_o = (\rho_O + \rho_G \, R_s) \cdot \frac{ q_o}{B_o} |
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anchor | q_\frac{ B_g \cdot ( q_G - R_s \, q_O) |
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}{1- R_v \, R_s}rho_g\rho_g = \frac{m_g}{| alignment | left |
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_g}= \frac{\rho_G + \rho_O \, R_v}{B_g}| LaTeX Math Block |
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anchor | mg| alignment | left |
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m_g = \rho_g \cdot q_g = (\rho_G + \rho_O \, R_v) \cdot \frac{q_g }{B_g} |
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anchor | q__w \cdot q_W| LaTeX Math Block |
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\rho_w =\frac{m}{q_w}= frac{\rho_W}{B_w}| LaTeX Math Block |
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m_w = \rho_w \cdot q_w = \rho_W \cdot \frac{q_w}{B_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 q_O
+\frac{B_g - B_o \, R_v}{1-R_v \ R_s} \cdot q_G
+ B_w \cdotq_W| LaTeX Math Block |
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_t = \frac{Bo - B_g \, R_v}{(1-R_v \, R_s) \rho_O} \cdot \dot m_O
+\frac{B_g - B_o \, R_v}{(1-R_v \, R_s) \, \rho_G} \cdot \dot m_G
+ \frac{B_w}{\rho_W} \cdot \dot m_
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\rho_t = (\dot m_O + \dot m_G + \dot m_G)/q_t |
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| borderColor | wheat |
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| bgColor | mintcream |
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| borderWidth | 7 |
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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 ]
