...
Compressibility of the fluid with density and molar volume as a function of temperature and pressure :
LaTeX Math Block |
---|
|
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
...
...
|
... | LaTeX Math Block |
---|
| c(T, p) = \frac{1}{p} |
|
LaTeX Math Block |
---|
| \rho(T, p) = \rho_0(T) |
| LaTeX Math Block |
---|
| \rho(T, p) = \rho_0 \cdot \exp \left[ c_0(T) \cdot (p-p_0) \right] |
|
... | LaTeX Math Block |
---|
| \rho(T, p) = \frac{\rho_0(T)}{p_0} \cdot p |
|
LaTeX Math Block |
---|
| Z(T, p) = \frac{p}{p_0} |
| LaTeX Math Block |
---|
| Z(T, p) =\frac{p}{p_0}\cdot \exp \left[ - c_0(T) \cdot (p-p_0) \right] |
| | LaTeX Math Block |
---|
| Z(T, p) = 1 |
|
where
A number of full-range mathematical models of Fluid Compressibility can be found Mathematical models of Fluid Compressibility are reviewed 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
...
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)]