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(1) \tau(t) = \int_0^t \frac{dt}{\mu(p) \, c_t(p)}

where

\mu

dynamic fluid viscosity

c_t

total compressibility


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 

Normalized PseudoTime ]


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