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The Z-factor value is trending towards unit value (

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

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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