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The location of a downhole downhole gauge may not match the formation top.

In order to translate it to the Datum one needs:

  1. Estimate gauge readings at formation top 
    LaTeX Math Inline
    body--uriencoded--p_%7B\rm top%7D = p(z_%7B\rm top%7D)
    using the wellbore fluid density density 
    LaTeX Math Inline
    body\rho_f
    gradient: 
    LaTeX Math Inline
    body--uriencoded--\displaystyle p_%7B\rm top%7D(t) = p_%7Bz_%7B\rm gauge%7D%7D(t) + g \cdot \int_%7Bz_%7B\rm gauge%7D%7D%5e%7Bz_%7B\rm top%7D%7D \rho_f(z) dz


  2. Recalculate the pressure at formation top to the Datum using regional hydrostatic pressure gradient 
    LaTeX Math Inline
    bodyGP
    LaTeX Math Inline
    body--uriencoded--\displaystyle p_%7B\rm dat%7D(t) = p_%7B\rm top%7D(t) + GP \cdot (z_%7B\rm dat%7D - z _%7B\rm top%7D)

where 

LaTeX Math Inline
body--uriencoded--z_%7B\rm gauge%7D

TVDss of downhoile gauge

LaTeX Math Inline
body--uriencoded--z_%7B\rm top%7D

TVDss of formation top

LaTeX Math Inline
body--uriencoded--p_%7B\rm gauge%7D(t)

gauge pressure readings

LaTeX Math Inline
body--uriencoded--p_%7B\rm top%7D(t)

estimated wellbore pressure at formation top

LaTeX Math Inline
body--uriencoded--p_%7B\rm dat%7D(t)

estimated Datum Pressure

LaTeX Math Inline
bodyGP

regional hydrostatic pressure gradient

LaTeX Math Inline
body\rho_f(z)

 wellbore fluid density as function of TVDSS

LaTeX Math Inline
bodyg

Standard gravity constant


When wellbore fluid density is fairly condant between the gauyge location and formation top then ine can simplify the datum pressure calculation to:

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