\Psi(p) =2 \,  \int_0^p \frac{p \, dp}{\mu(p) \, Z(p)}

where

It is widely used in high compressible fluid pressure diffusion modelsin Pressure Diffusion @model and transient data analysis (PTA / RTA ) of strongly compressible fluids.

The name "Pseudo-Pressure"  is misnomer as Pseudo-Pressure is not actually a pressure in terms of physical property and has a different dimension.

The value of Normalized Pseudo-Pressure differs from Pseudo-Pressure by a constant multiplier but represents an actually pressure in terms of physical property and has the same dimension.

\Psi(p) =2 \,  \int_0^p p \, dp \cdot  \left[ \frac{k_{ro}}{\mu_o(p) \, Z_o(p)} +    \frac{k_{rw}}{\mu_w(p) \, Z_w(p)} +   \frac{k_{rg}}{\mu_g(p) \, Z_g(p)}   \right]

See also

...

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

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing 

[ Normalized Pseudo-Pressure ]