Volumetric flowrate of the fluid phase across the 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{
\dot m_o}{o}= \frac{\rho_O + \rho_G \, R_s}{B_o}| LaTeX Math Block |
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\dot m_o = \rho_o \cdot q_o = (\rho_O + \rho_G \, R_s) \cdot \frac{ q_o}{B_o} =
\cdot
\frac{(\rho_O + \rho_G \, R_s) \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s}
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anchor | q_\frac{ \, q_O)}{1- R_v \, R_s}| LaTeX Math Block |
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\rho_g = \frac{\dot m_g}{q_g}= \frac{\rho_G + \rho_O \, R_v}{B_g} |
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\dot m_g = \rho_g \cdot q_g = (\rho_G + \rho_O \, R_v) \cdot \frac{q_g}{B_g} =
\frac{ (rho_G + \rho_O \ R_v) \cdot ( - R_v \, q_G }{1- R_v \, R_s}q_w = B_w \cdot W| LaTeX Math Block |
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anchor | rho_| alignment | left |
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\rho_w\frac{\dot m_w}{q_w}= \frac{\rho_W}{}| LaTeX Math Block |
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\dotm_w = \rho_w cdot q_w = \rho_W \cdot \frac{q_w}{B_w} = B_w \cdot q_W| LaTeX Math Block |
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q_t = q_o + q_g + q_w |
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q_t = \frac{B_o - B_g \, R_s}{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 q_W |
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q_t = \frac{B_o - B_g \, R_s}{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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\dot m = \dot m_o + \dot m_g + \dot m_w = \dot m_O + \dot m_G + \dot m_G| LaTeX Math Block |
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\rho_t = \frac{\dot m}{_t} = \frac{\dot m_O + \dot m_G + \dot m_G}{
\frac{B_o - B_g \, R_s}{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 mG }{\rho_G}
+ B_w\cdot \frac{\dot m_W}{\rho_}
} ...
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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 ]
