Page tree

Versions Compared

Key

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

...

LaTeX Math Block
anchor1
alignmentleft
c_t(p) \, \phi({\bf r})  \, \frac{\partial p}{\partial t} = \nabla ( \alphaM(p)  \nabla p )

where


LaTeX Math Block
anchorY3OGO
alignmentleft
c_t({\bf r},p)  = c_r({\bf r}) + \sum_\alpha s_\alpha({\bf r}) c_\alpha(p) 


Total compressibility as function of reservoir pressure 

LaTeX Math Inline
bodyp
 and location
LaTeX Math Inline
body\bf r

LaTeX Math Inline
body c_r({\bf r})

Rock compressibilityas function of location

LaTeX Math Inline
body\bf r

LaTeX Math Inline
body c_\alpha(p)

LaTeX Math Inline
body\alpha
-phase compressibility as function of reservoir pressure 
LaTeX Math Inline
bodyp
 for
LaTeX Math Inline
body\alpha = \{ w, \, o, \, g \}

LaTeX Math Inline
body--uriencoded--\displaystyle \alphaM(p) = \frac{k}{frac%7Bk%7D%7B\mu(p)}%7D

Fluid mobility as function of reservoir pressure 

LaTeX Math Inline
bodyp

LaTeX Math Inline
bodyk({\bf r})

Formation permeability as function of location

LaTeX Math Inline
body\bf r

LaTeX Math Inline
body\mu(p)

Dynamic fluid viscosity as function of reservoir pressure 

LaTeX Math Inline
bodyp
 

LaTeX Math Inline
bodyc_t(p)

Total compressibility as function of reservoir pressure 

LaTeX Math Inline
bodyp
 

LaTeX Math Inline
bodyB(p)

Formation Volume Factor as function of reservoir pressure 

LaTeX Math Inline
bodyp
 

...