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Volumetric flowrate of the fluid phase across the well-reservoir contact
In most popular practical case of a 3-phase fluid model this will be:
In case of Volatile Oil Reservoir the relation to surface flowrates
\{ q_O, \, q_G, \, q_W \} and mass flowrates
\{ m_O, \, m_G, \, m_W \} is given by following equations:
(1) |
q_o = \frac{ B_o \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s} |
|
(2) |
\rho_o = \frac{
\dot m_o}{q_o}= \frac{\rho_O + \rho_G \, R_s}{B_o} |
|
(3) |
\dot m_o = \rho_o \cdot q_o = (\rho_O + \rho_G \, R_s) \cdot \frac{ q_o}{B_o} |
|
(4) |
q_g = \frac{ B_g \cdot ( q_G - R_s \, q_O)}{1- R_v \, R_s} |
|
(5) |
\rho_g = \frac{\dot m_g}{q_g}= \frac{\rho_G + \rho_O \, R_v}{B_g} |
|
(6) |
\dot m_g = \rho_g \cdot q_g = (\rho_G + \rho_O \, R_v) \cdot \frac{q_g }{B_g} |
|
|
(8) |
\rho_w =\frac{\dot m_w}{q_w}= \frac{\rho_W}{B_w} |
|
(9) |
\dot m_w = \rho_w \cdot q_w = \rho_W \cdot \frac{q_w}{B_w} |
|
(10) |
q_t = q_o + q_g + q_w |
|
(11) |
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 |
|
(12) |
q_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
|
|
(13) |
\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
[ Well & Reservoir Surveillance ]
[ Sandface flowrates ] [ Oil sandface flowrate ] [ Gas sandface flowrate ] [ Water sandface flowrate ]
[ Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ] [ Total sandface flowrate ]