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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.
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\Psi(p) =2 \, \int_0^p \frac{p \, dp} \left[ \frac{k_ro}{\mu_o(p) \, Z_o(p)} + \left[ \frac{k_rw}{\mu_w(p) \, Z_w(p)} + \left[ \frac{k_rg}{\mu_g(p) \, Z_g(p)} \right] |
See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model
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