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 Inline |
body |
---|
LaTeX Math Block |
---|
| q_t = q_o |
|
Gas 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}rho_o | alignment | left |
\rho_o = \frac{
\dot m_o}{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{ q_o}{B_o} =
\cdot
\frac{(\rho_O + \rho_G \, R_s) \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s}
|
LaTeX Math Block |
---|
anchor | q_\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 \cdot q_g = (\rho_G + \rho_O \, R_v) \cdot \frac{q_g}{B_g} =
\frac{ (rho_G + \rho_O \ R_v) \cdot ( - R_v \, q_G }{1- R_v \, R_s} 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}m_w | alignmentleft | \dot m_w = \rho_w \cdot q_w = \rho_W \cdot \frac{}{B_w} = \rho_W \cdot q_Wanchor | qt |
---|
LaTeX Math Block |
q_t = o + q_g + q_ LaTeX Math Block |
---|
|
q_t \frac{B_o - B_g \, R_s}{1-R_v \, R_s} \cdot q_O
+\frac{B_g - o \, R_v}{1-R_v \, R_s} \cdot q_G
+ B_ \cdot q_W LaTeX Math Block |
---|
|
q_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 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}{_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 mG }{\rho_G}
+ B_w\cdot \frac{\dot m_W}{\rho_}
} ...
...
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 ]