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In case of the ideal gas equation of state, the  Z-factor has a unit value:

LaTeX Math Inline
bodyZ(p) = 1
, viscosity does not depend on pressure 
LaTeX Math Inline
body\mu(p) = \mu
 and total compressibility is fully defined by fluid compressibility 
LaTeX Math Inline
body--uriencoded--\displaystyle c_t = c_r + c \sim \frac%7B1%7D%7Bp%7D
 which simplifies the expression for Pseudo-Pressure and Pseudo-Time as to:


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\Psi(p) = \frac{p^2}{\mu}



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\tau(t) = \frac{1}{\mu} \int_0^t p_{BHP}(t) dt



See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model

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