Page tree

Versions Compared

Key

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

...

SymbolDimensionSI unitsOil metric unitsOil field units

LaTeX Math Inline
bodyK
 or 
LaTeX Math Inline
bodyB

M1 L-1 T-2PaGPa

psi


It measures its Bulk modulus measures resistance of Continuum body to compression/decompression .and is inverse to Compressibility 

LaTeX Math Inline
bodyc
:


LaTeX Math Block
anchorc
alignmentleft
K = frac{1}{c}


Bulk modulusCompressibility depends on the thermodynamic conditions at which it is measured and as such is not a material property.

The two major medium compression/decompression processes are isothermal and isentropic which result in different values of compressibilityBulk modulus:

Isothermal CompressibilityIsentropic Compressibility

LaTeX Math Inline
bodyT = \rm const

LaTeX Math Inline
bodyS = \rm const


K
LaTeX Math Block
anchorcT
alignmentleft
\betaK_T = \frac{1}{\rho} \left( \frac{\partial \rhop}{\partial p\rho} \right)_T
LaTeX Math Block
anchorcS
alignmentleft
\betaK_S = \frac{1}{\rho} \left( \frac{\partial \rhop}{\partial p\rho} \right)_S


Both 

LaTeX Math Inline
body\betaK_T
 and 
LaTeX Math Inline
body\betaK_S
 are not dependent on the amount of chemical substance and defined under a clear conditions of thermodynamic process and 
as such are the material properties and properly tabulated for the vast majority of materials.

In engineering practise, when the term CompressibilityBulk modulus is used as material property it normally means Isothermal Compressibility

LaTeX Math Inline
body\betaK=\beta_T
.Compressibility is related to Z-factor 
LaTeX Math Inline
bodyZ
 and Formation Volume Factor (FVF) 
LaTeX Math Inline
bodyB
 as:

...

LaTeX Math Block
anchorcZ
alignmentleft
\beta(p) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp}

...

LaTeX Math Block
anchorcZ
alignmentleft
\beta(p) =  - \frac{1}{B} \frac{dB}{dp}

...

titleDisclaimer

...

LaTeX Math Inline
body\beta

...

LaTeX Math Inline
bodyc

...

LaTeX Math Inline
bodyc

...

K_T

...

.


See also

...

Physics / Mechanics / Continuum mechanics /  Continuum body

...