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 @wikipedia@wikipedia


Fluid Compressibility of the fluid with density 

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body\rho
_f
and molar volume 
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{mf}
m
 as a function of temperature 
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bodyT
and pressure 
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bodyp
:

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c_f(T,p) = \frac{1}{\rho_f} \left( \frac{\partial \rho_f}{\partial p} \right)_T = - \frac{1}{V_{mf}}m} \left( \frac{\partial V_{mfm}}{\partial p} \right)_T


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 practiceThe multi-phase compressibility is a linear sum of compressibilities of its phases.

Approximations

...

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(T, p) = 0

...

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c

...

(T, p) = c_0 = \rm const

...


...

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c

...

(T, p) = \frac{1}{p}

...

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\rho(T, p) = \rho_0(T)
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...

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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

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(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

where

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bodyc

fluid compressibility

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body\rho

fluid density

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bodyZ

Z-factor



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).


...


Fluid Compressibility of popular petroleum fluids at SPE Standard Conditions (STP):

FluidTypical Range, GPa-1
Natural Gas10,000 
Gas Condensate 100
Oil1 – 10
Water0.44 – 0.51 GPa-1


See also

...

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)

See also

[Compressibility] [Multi-phase compressibility]