Motivation
The pipeline and wellbore flow simulations require a model of static fluid pressure p variation as a function of elevation z:
(1) | p = p(z) |
Output
Intput
z | \rho_0 | Fluid density at Logging reference point z_0 | |
z_0 | Logging reference point (usually at surface) | c_0 | |
g | Standard gravity constant |
Equation
The static balance equation for fluid column is:
(2) | \frac{dp}{dz}= \rho(p) \cdot g |
Approximations
Full-range model | ||||||||
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Also known as Barometric formula with \displaystyle \frac{\rho_0}{p_0} = \frac{M}{R\, T} |
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics
[ Fluid Dynamics ]