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{ \, q_G) }{1- R_v \, R_s}| LaTeX Math Block |
|---|
|
\rho_o = \frac{
\dot m_o}{q_o}= \frac{\rho_O + \rho_GR_s}{B_o}| LaTeX Math Block |
|---|
|
\dot m_o = \rho_o \cdot _o = (\rho_O + \rho \, R_s \cdot \frac{ q_o}{B_o} = \frac{B_o - B_g \, R_s}{1-R_v \, R_s} \cdot q_O \frac{ \, q_O)}{1- R_v R_s}| 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 \cdotg = (\rho_G + \rho_ \, R_v \cdot \frac{q_g }{B_g} = \frac{B_g - B_o \, R_v}{1-R_v \, R_s} \cdot q_G = B_w \cdot q_W| LaTeX Math Block |
|---|
|
\rho_w =\frac{\dot m_w}{q_w} \frac{\rho_W}{_w}| LaTeX Math Block |
|---|
|
\dot m= rho_w \cdot q_w = \rho_W \cdot \frac{q_w}{B_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_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| LaTeX Math Block |
|---|
|
_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 mG }{\rho_G}
+ B_w\cdot \frac{\dot m_}{\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} = \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 m_G }{\rho_G}
+ B_w\cdot \frac{\dot m_W}{\rho_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 ]
