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1

Estimate gauge readings at formation top 

LaTeX Math Inline
body--uriencoded--p_%7B\rm top%7D
using the wellbore fluid density 
LaTeX Math Inline
body\rho_f
gradient


LaTeX Math Block
anchorptop1
alignmentleft
p_{\rm top}(t) = p_{\rm gauge}(t) + g \cdot \int_{z_{\rm gauge}}^{z_{\rm top}} \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 Block
anchorpdat
alignmentleft
p_{\rm dat}(t) = p_{\rm top}(t) + GP \cdot (z_{\rm dat} - z _{\rm top})

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LaTeX Math Inline
body--uriencoded--\displaystyle p_%7B\rm top%7D(t) = p_%7B\rm gauge%7D(t) + g \cdot \int_%7Bz_%7B\rm gauge%7D%7D%5e%7Bz_%7B\rm top%7D%7D \rho_f(z) dz

...

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

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