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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 Inlinebody

LaTeX Math Block
anchorq_t
alignmentleft
q_t = q_o
Gas
 + q_g + q_w

Oil sandface flowrate:

LaTeX Math Inline
bodyq_

g

o

Water

Gas sandface flowrate

LaTeX Math Inline
bodyq_

w

g

Total

Water sandface flowrate

LaTeX Math Inline
bodyq_

t

w


In

...

this case the relation between the Sandface flowrates

LaTeX Math Inline
body--uriencoded--\%7B q_o, \, q_g, \, q_w \%7D
 and Surface Flowrates 
LaTeX Math Inline
body--uriencoded--\%7B q_O, \, q_G, \, q_W \%7D
 is given by Modified Black Oil fluid @model

LaTeX Math Block
anchorq_o
alignmentleft
q_o
LaTeX Math Block
anchorqo
alignmentleft
q_o = \frac{ B_o \cdot ( q_O - R_v \, q_G) }{1- R_s \, R_v}
LaTeX Math Block
anchorqO1
alignmentleft
q_O = \frac{m_O}{\rho_O}
LaTeX Math Block
anchorqg
alignmentleft
q_g = \frac{ B_g \cdot ( q_G - R_s \, q_O)}{1- R_s \, R_v}
LaTeX Math Block
anchorqG1
alignmentleft
q_G = \frac{m_G}{\rho_G}
LaTeX Math Block
anchorqw
alignmentleft
q_w = B_w \cdot q_W
LaTeX Math Block
anchorqW1
alignmentleft
q_W = \frac{m_W}{\rho_W}
LaTeX Math Block
anchorqt
alignmentleft
q_t = q_o + q_g + q_w
LaTeX Math Block
anchorqt2
alignmentleft
q_t
 = B_o \cdot (
q_O - R_v \,
q_G) + B_g \cdot (
 q_G
- R_s \, q_O
)
+ B_w \cdot q_W
LaTeX Math Block
anchor
qt3
q_g
alignmentleft
q_
t
g =
\frac{B_o
 
-
B_g
\,
 
R_s}{
\
rho_O} \
cdot 
\dot
( 
m
q_
O + \frac{B_g
G - 
B
R_
o
s \, 
R_v}{\rho_G} \cdot \dot m_G + \frac{B_w}{\rho_W} \cdot \dot m_W
q_O)
LaTeX Math Block
anchor
qt2
q_w
alignmentleft
\rho
q_
t
w = 
(\dot m_O + \dot m_G + \dot m_G)/q_t
B_w \, q_W


See Also

...

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

...

Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ] [ Total sandface flowrate ]

Volatile Oil Fluid @model ]