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When wellbore fluid density is fairly constant between the gauge location and formation top then one can simplify the Datum Pressure calculation to:
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p_{\rm dat}(t) = p_{\rm gauge}(t) + g \cdot \rho_f \cdot (z_{\rm top} - z_{\rm gauge}) + GP \cdot (z_{\rm dat} - z _{\rm top}) |
In flowing conditions the equations
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are both inaccurate as they do not account for pressure losses due to friction.The equation
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should be replaced with a proper solver for wellbore pressure profile.
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Pressure Testing & Production Analysis
