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@wikipedia

Disclaimer: Not to be confused with Compressibility factor 

LaTeX Math Inline
bodyZ
.

A measure of resistance of a Continuum body to compression/decompression.

A measure of relative change in density 

LaTeX Math Inline
body\rho
 or  molar volume  
LaTeX Math Inline
bodyV_m
 under a unit 
pressure 
LaTeX Math Inline
bodyp
 variation:

LaTeX Math Block
anchor1
alignmentleft
\beta = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right) = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)
SymbolDimensionSI unitsOil metric unitsOil field units

LaTeX Math Inline
body\beta
 or 
LaTeX Math Inline
bodyc

M-1 L1 T2Pa-1kPa-1

psi-1


Compressibility 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 compressibility:

Isothermal CompressibilityIsentropic Compressibility

LaTeX Math Inline
bodyT = \rm const

LaTeX Math Inline
bodyS = \rm const

LaTeX Math Block
anchorcT
alignmentleft
\beta_T = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_T
LaTeX Math Block
anchorcS
alignmentleft
\beta_S = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_S


Both 

LaTeX Math Inline
body\beta_T
 and 
LaTeX Math Inline
body\beta_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 Compressibility is used as material property it normally means Isothermal Compressibility

LaTeX Math Inline
body\beta=\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}
Warning
titleDisclaimer


In Thermodynamics the compressibility is denoted by 

LaTeX Math Inline
body\beta
 while intensive heat capacities are denoted by 
LaTeX Math Inline
bodyc
 with corresponding subscript. 

On the other hand Petroleum Industry is traditionally using  

LaTeX Math Inline
bodyc
 symbol to denote compressibility which often lead to confusion with heat capacity.


See also


Physics / Mechanics / Continuum mechanics /  Continuum body

Isothermal Compressibility ][ Isentropic Compressibility ]

[Fluid compressibility] [Pore compressibility] [Total compressibility]

Bulk modulus (K or B)