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

where

\mu(p)

dynamic fluid viscosity

Z(p)

fluid compressibility factor


It is widely used in Pressure Diffusion @model and transient data analysis (PTARTA ) 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.

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 ]

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