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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
bodyq_o

Gas sandface flowrate

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

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 = B_o \cdot (q_O - R_v \, q_G)
LaTeX Math Block
anchorq_g
LaTeX Math Block
anchorqo
alignmentleft
q_o = \frac{ B_o \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s}
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_v \, R_s}
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 = \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 q_W
LaTeX Math Blockanchorqt3
alignmentleft
q_
t
g =
\frac{B_o -
 B_g \
,
cdot 
R_v}{
(
1-R_v \, R_s) \rho_O} \cdot m_O +\frac{B_g - B_o \, R_v}{(1-R_v
 q_G - R_s \, 
R
q_
s) \, \rho_G} \cdot m_G + \frac{B_w}{\rho_W} \cdot m_W
O)
LaTeX Math Block
anchor
qt2
q_w
alignmentleft
\rho
q_
t
w = 
(\dot m_O + \dot m_G + \dot m_G)/q_t

...

titleDerivation
B_w \, q_W


Panel
borderColorwheat
bgColormintcream
borderWidth7

Derivation of the volatile oil sandface/surface flowrates relation

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 ]