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} LaTeX Math Block |
---|
|
\rho_o = \frac{m_o}{q_o}= \frac{\rho_O + \rho_G \, R_s}{B_o} |
LaTeX Math Block |
---|
|
m_o = \rho_o \cdot q_o = \frac{\rho_O + \rho_G \, R_s}{B_o} \cdot q_o \frac{ B_g \cdot ( q_G - R_s \, q_O) |
|
}{1- R_v \, R_s} LaTeX Math Block |
---|
|
\rho_g = \frac{m_g}{q_g}= \frac{\rho_G + \rho_O \, R_v}{B_g} |
LaTeX Math Block |
---|
|
m_g = \rho_g \cdot q_g = \frac{\rho_G + \rho_O \, R_v}{B_g} \cdot q_g _w \cdot q_W LaTeX Math Block |
---|
|
\rho_w =\frac{m_w}{q}= \frac{rho_W}{B_w} LaTeX Math Block |
---|
|
m_w = \rho_w \cdot q_w = \frac{\rho_W}{B_w} \cdot q_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 q_O
+\frac{B_g - B_o \, R_v}{1-R_v \ R_s} \cdot q_G
+ B_w \cdot LaTeX Math Block |
---|
anchor | qt3 |
---|
alignment | leftq_t = \frac{B_o - B_g \, R_v}{(1-R_v \, R_s) \rho_O} \cdot \dot m_O
+\frac{B_g - B_o \, R_v}{(1-R_v \, R_s) \, \rho_G} \cdot \dot m_G
+ \frac{B_w}{\rho_W} \cdot \dot m_W
|
LaTeX Math Block |
---|
|
\rho_t = (\dot m_O + \dot m_G + \dot m_G)/q_t |
...
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 ]