Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.


Volumetric calculations


LaTeX Math Block
anchor1
alignmentleft
q_O = q_{Oo} + q_{Og}
LaTeX Math Block
anchor1
alignmentleft
q_G = q_{Gg} + q_{Go}
LaTeX Math Block
anchor1
alignmentleft
q_W = q_{Ww}

...

LaTeX Math Block
anchor1
alignmentleft
q_o = \frac{B_o \cdot (q_O - R_v \, q_G)}{1- R_v \, R_s}
LaTeX Math Block
anchor1
alignmentleft
q_пg = \frac{B_пg \cdot (q_G - R_s \, q_O)}{1- R_v \, R_s}
LaTeX Math Block
anchor1
alignmentleft
q_w = B_w \cdot q_w


Mass calculations


The oil phase 

LaTeX Math Inline
body()_o
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
anchor1
alignmentleft
\rho_o = \frac{\rho_O + \rho_G \cdot R_s}{B_o}
LaTeX Math Block
anchorDR1ZO
alignmentleft
m\rho_g = \frac{\rho_G + \rho_O \cdot R_v}{B_g}
LaTeX Math Block
anchorYK7IO
alignmentleft
m\rho_w = \frac{\rho_W}{B_w}



The total mass flow of all phases:

...