| (1) | \Psi(p) =2 \, \int_0^p \frac{p \, dp}{\mu(p) \, Z(p)} |
where
It is widely used in 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.
| (2) | \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