| (1) | \tau(t) = \int_0^t \frac{dt}{\mu(p) \, c_t(p)} |
where
\mu(p) | dynamic fluid viscosity |
c_t(p) | total compressibility |
It is widely used in Pressure Diffusion @model and transient data analysis (PTA / RTA ) of strongly compressible fluids.
The name "Pseudo-Time" is misnomer as Pseudo-Time is not actually a time in terms of physical property and has a different dimension.
The value of Normalized Pseudo-Time differs from Pseudo-Time by a constant multiplier but represents an actually time 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