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Alternatively Z-factor can be expressed through the refreence values the fluid properties at reference conditions as:

LaTeX Math Block
anchorP7SN4
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Z(T, p) = Z^{\circ} \cdot \frac{\rho^{\circ} \, T^{\circ}}{p^{\circ}} \cdot \frac{p}{\rho(T, p) \, T} 

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The
Z-factor value is trending towards unit value (

LaTeX Math Inline
bodyZ \rightarrow 1
) for incompressible fluids and linear pressure dependence (
LaTeX Math Inline
bodyZ \rightarrow a \cdot p
) for strongly compressible Fluidsfluids.

Modelling Z-factor 

LaTeX Math Inline
bodyZ(T,p)
as a function of fluidpressure 
LaTeX Math Inline
bodyp
 and temperature 
LaTeX Math Inline
bodyT
 is based on Equation of State.

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