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LaTeX Math Block
anchor0O18Q
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p = p(z)


Output

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LaTeX Math Inline
bodyp(z)

Fluid pressure 

LaTeX Math Inline
bodyp
 


Intput

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LaTeX Math Inline
bodyz

LaTeX Math Inline
body\rho_0

Fluid density at Logging reference point 

LaTeX Math Inline
bodyz_0

LaTeX Math Inline
bodyz_0

Logging reference point (usually at surface)

LaTeX Math Inline
bodyc_0

Fluid Compressibility at Logging reference point 

LaTeX Math Inline
bodyz_0

LaTeX Math Inline
bodyg

Standard gravity constant



Equation

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The static balance equation for fluid column is:

LaTeX Math Block
anchordpdz
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\frac{dp}{dz}= \rho(p) \cdot g

where



Approximations

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Incompressible fluids

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LaTeX Math Block
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p(z) = p_0 + \rho_0 \cdot g \cdot (z-z_0)


Ideal gases

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