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

The most popular material compressibilities aretwo major medium compaction process 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
c_T = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_T
LaTeX Math Block
anchorcS
alignmentleft
c_S = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_S

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Compressibility is related to Z-factor 

LaTeX Math Inline
bodyZ
 and Formation Volume Factor (FVF) 
LaTeX Math Inline
bodyB
 as:

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


See also

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Physics / Mechanics / Continuum mechanics /  / Continuum body

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

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