@wikipedia
A measure of relative fluid Compressibility of the fluid with density change due to a unit _f and molar volume as a function of temperature and pressure variation:
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c_f(T,p) = \frac{1}{\rho_f} \left( \frac{\partial \rho_f}{\partial p} \right)_T = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} |
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There is no universal full-range analytical model for Fluid Compressibility but there is a good number of approximations which can be effectively used in engineering practice.
Approximations
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| \rho(T, p) = \rho_0(T) |
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| \rho(T, p) = \rho_0 \cdot \exp \left[ c_0(T) \cdot (p-p_0) \right] |
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| \rho(T, p) = \frac{\rho_0(T)}{p_0} \cdot p |
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| Z(T, p) = \frac{p}{p_0} |
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| Z(T, p) =\frac{p}{p_0}\cdot \exp \left[ - c_0(T) \cdot (p-p_0) \right] |
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| Z(T, p) = 1 |
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where
A number of full-range mathematical models of Fluid Compressibility can be found in Fluid Compressibility @model.
The multi-phase fluid compressibility is a linear sum of compressibilities of its phases (see multi-phase fluid compressibility @ model).
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Fluid Compressibility of popular petroleum fluids at SPE Standard Conditions (STP):
See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics
[Compressibility] [ Z-factor ]
[Multi-phase compressibility @model] [ Fluid Compressibility @model ]
[ Incompressible fluid ] [ Slightly Compressible Fluid ] [ Strongly Compressible Fluid ] [ Ideal Gas ]
[ Water compressibility (cw) ] [Oil compressibility (co)] [Gas compressibility (cg)
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psi-1
The multi-phase compressibility is a simple sum of its components.
See also
[Compressibility]
