Volumetric calculations
LaTeX Math Block |
---|
| q_O = q_{Oo} + q_{Og} |
| LaTeX Math Block |
---|
| q_G = q_{Gg} + q_{Go} |
| LaTeX Math Block |
---|
| q_W = q_{Ww} |
|
...
LaTeX Math Block |
---|
| q_o = \frac{B_o \cdot (q_O - R_v \, q_G)}{1- R_v \, R_s} |
| LaTeX Math Block |
---|
| q_пg = \frac{B_пg \cdot (q_G - R_s \, q_O)}{1- R_v \, R_s} |
| LaTeX Math Block |
---|
| q_w = B_w \cdot q_w |
|
Mass calculations
The oil phase
includes oil component
LaTeX Math Inline |
---|
body | --uriencoded--()_%7BOo%7D |
---|
|
and gas component
LaTeX Math Inline |
---|
body | --uriencoded--()_%7BGo%7D |
---|
|
so that the oil phase mass flux is:
...
LaTeX Math Block |
---|
| \rho_o = \frac{\rho_O + \rho_G \cdot R_s}{B_o} |
| LaTeX Math Block |
---|
| m\rho_g = \frac{\rho_G + \rho_O \cdot R_v}{B_g} |
| LaTeX Math Block |
---|
| m\rho_w = \frac{\rho_W}{B_w} |
|
The total mass flow of all phases:
...
LaTeX Math Block |
---|
|
\dot m = \frac{ (\rho_O + \rho_G \cdot R_s)\cdot (q_O - R_v \, q_G) + (\rho_G + \rho_O \cdot R_v) \cdot (q_G - R_s \, q_O) }{1-R_v \, R_s} + \rho_W \cdot \frac{q_w}{B_w} |
→
LaTeX Math Block |
---|
|
\dot m = \frac{ \rho_O \, q_O \, (1- R_v \, R_s) + \rho_G \, q_G \, (1- R_v \, R_s) }{1-R_v \, R_s} + \rho_W \cdot q_W |
→
LaTeX Math Block |
---|
|
\dot m = \rho_O \cdot q_O + \rho_G \cdot q_G + \rho_W \cdot q_W = \dot m_O + \dot m_G + \dot m_W |
→
LaTeX Math Block |
---|
|
\dot m = \dot m_o + \dot m_g + \dot m_w = \dot m_O + \dot m_G + \dot m_W |
which means that total mass flux of all fluid phases is equal to the total mass flux of all fluid components.
As volatile oil model does not assume water-component exchange between phases the equality
LaTeX Math Block Reference |
---|
|
can be broken down into two equalities: LaTeX Math Block |
---|
| \dot m_{HC} = \dot m_o + \dot m_g = \dot m_O + \dot m_G |
| LaTeX Math Block |
---|
| \dot m_w = \dot m_W |
|
The total fluid density of Volatile Oil fluid @model is given by following equation (see Multiphase fluid for derivation):
LaTeX Math Block |
---|
|
\rho = s_o \, \rho_o + s_g \, \rho_g + s_w \, \rho_w |
The total fluid compressibility of multiphase fluid is given by following equation (see Multiphase fluid for derivation):
LaTeX Math Block |
---|
|
c = s_o \, c_o + s_g \, c_g + s_w \, c_w |
See Also
...
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Fluid @model / Volatile Oil Fluid @model