...

c(T,p) = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_T = - \frac{1}{V_m} \left( \frac{\partial V_m}{\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 practice.

Approximations

...

c(T, p) = 0

c(T, p) = c_0 = \rm const

c(T, p) = \frac{1

}{

p}

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

\rho(T, p) = \rho_0 \cdot \exp \left[ c_0(T) \cdot (p-p_0) \right]

\rho(T, p) = \frac{\rho_0(T)}{p_0} \cdot p

\rho(T, p) = \rho_0(T) \cdot \frac{1+c_0(T,p) \, p}{1+c_0(T,p) \, p_0}

Z(T, p) = \frac{p}{p_0}

Z(T, p) =\frac{p}{p_0}\cdot \exp \left[ - c_0(T) \cdot (p-p_0) \right]

Z(T, p) = 1

Z(T, p) = \frac{p}{p_0} \cdot \frac{1+c_0(T, p) \, p_0}{1 + c_0(T,p) \, p}

where

Mathematical A number of full-range mathematical models of Fluid Compressibility are reviewed  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):

See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics

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[ Incompressible fluid ] [ Slightly Compressible Fluid ] [ Strongly Compressible Fluid ] [ Ideal Gas ]

[ Water compressibility (c_w) ] [Oil compressibility (c_o)] [Gas compressibility (c_g)]