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:
\frac{ }{1- R_v \, R_s}| LaTeX Math Block |
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\rho_o = \frac{
\dot m_o}{q_o}= \frac{\rho_O + \rho_G \, R_s}{B_o}m_o | alignmentleft | \dot m_o = \rho_o \cdot o = (\rho_O + \rho_G \, R_s) \cdot \frac{ q_o}{B_o} | LaTeX Math Block |
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anchor | q_\frac{ R_s \, q_O)}{1- R_v \,}| LaTeX Math Block |
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\rho_g = \frac{\dotm_g}{q_g}= frac{\rho_G + \rho_O \ R_v}{B_g}| LaTeX Math Block |
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\dot m_g = \rho_g \cdotg = (\rho_G + \rho_ \, R_v \cdot \frac{q_g }{B_g}| LaTeX Math Block |
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| anchor | q_w |
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alignment | leftq_w = B_w \cdot q_W |
rho_w | alignment | left\rho_w =\frac{\dot m_w}{_w}= \frac{\rhoW}{B_}| LaTeX Math Block |
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anchorm_w | \dot m_w = \rho_w \cdot \rho_W \cdot \frac{q_w}{}| LaTeX Math Block |
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q_t = q_o+ q_g + q_w| LaTeX Math Block |
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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 \cdot | LaTeX Math Block |
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q_t = \frac{B_o - B_g \, R_v}{1-R_v \, R_s } \cdot \frac{\dot m_O }{\rho_O}
+\frac{B_g - B_o \, R_v}{1-R_v \, R_s } \cdot \frac{\dot m_G }{\rho_G}
+ B_w\cdot \frac{\dot m_W}{\rho_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 ]
