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\tau(t) = \int_0^t \frac{dt}{\mu(p) \, c_t(p)} |
where
| dynamic fluid viscosity | ||||
| total compressibility |
It is widely used
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in Pressure Diffusion @model and transient data analysis (PTA / RTA ) of strongly compressible fluids.
The name "Pseudo
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-Time is not actually a
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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
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing