(1) | \tau(t) = \int_0^t \frac{dt}{\mu(p) \, c_t(p)} |
where
It is widely used in Pressure Diffusion @model of strongly compressible fluids.
The name "PseudoTime" is misnomer as PseudoTime is not actually a time in terms of physical property and has a different dimension.
The value of Normalized PseudoTime differs from PseudoTime 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