| LaTeX Math Block |
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p^*(p) = \frac{p_{ref} \cdot \Psi(p)}{\Psi(p_{ref})} = p_{ref} \cdot \int_0^p \frac{p \, dp}{\mu(p) \, Z(p)} \Bigg/ \int_0^{p_{ref}} \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 choice of reference pressure | LaTeX Math Inline |
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| body | --uriencoded--p_%7Bref%7D |
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is made by engineer depending on common sense and objectives of the study.
The usual practise is to select
| LaTeX Math Inline |
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| body | --uriencoded--p_%7Bref%7D = p(t=0) |
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as the bottom-hole pressure at initial time moment.
In case the Normalized Pseudo-Pressure is used to linearize the Pressure Diffusion equation the choice of reference pressure is not going to affect the solution.
Normalized Pseudo-Pressure does represent a pressure in terms of physical property and has the same dimension unlike Pseudo-Pressure.
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
[ Pseudo-Pressure ]
