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 | Gas sandface flowrate |
---|
LaTeX Math Block |
---|
| q_t = q_o + q_g + q_w |
|
|
---|
gWater wTotal t
In this case
...
the relation between the Sandface flowrates
LaTeX Math Inline |
---|
body | --uriencoded--\%7B q_ |
---|
|
...
...
...
...
and Surface Flowrates
...
...
...
is given ...
by Modified Black Oil fluid @model:
\frac{ }{1- R_v \, R_s}alignment | left |
---|
\rho_o = \frac{
\dot m_o}{q_o}= \frac{\rho_O + \rho_G \, R_s}{B_o} |
LaTeX Math Block |
---|
|
\dot m_o = \rho_o \cdot q_o = (\rho_O + \rho_G \, R_s) \cdot \frac{ rho_o | o}{B_o} LaTeX Math Block |
---|
anchor | q_\frac{ - R_s\, q_O)}{1 R_v \,} LaTeX Math Block |
---|
|
\rho_g = \frac{\dot m_g}{q_g}=\frac{rho_G + \rho_O \R_v}{B_g} LaTeX Math Block |
---|
|
\dot m_g = \rho_g \cdot g = (\rho_G + \rho_ \, R_v \cdot \frac{q_g }{B_g} | LaTeX Math Block |
---|
| q_w = B_w \ |
|
cdot q_W LaTeX Math Block |
---|
|
\rho_w =\frac{\dot m_w}{q_w}= \frac{\rho_W}{B_w} |
LaTeX Math Block |
---|
|
\dot m_w = \rho_w \cdot q_w = \rho_W \cdot \frac{q_w}{B_w} |
LaTeX Math Block |
---|
|
q_t = q_o + q_g + q_w |
LaTeX Math Block |
---|
|
q_t = \frac{B_o - B_g \ R_v}{1-R_v \, R_s} \cdot_O
+\frac{Bg - B_o \, R_v}{1-R_v \, R_s} \cdot q_G
+ B_w \cdot q_ LaTeX Math Block |
---|
anchor | qt3alignment | left |
---|
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}
|
LaTeX Math Block |
---|
|
\dot m = \dot m_o + \dot m_g + \dot m_w = \dot m_O + \dot m_G + \dot m_G |
LaTeX Math Block |
---|
|
\rho_t = \frac{\dot m}{q_t} = (\dot m_O + \dot m_G + \dot m_G)/ \left(
\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}
\right)^{-1} |
...
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 ]