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Assume the well is producing 

LaTeX Math Inline
bodyq_w
 of water, 
LaTeX Math Inline
bodyq_o
 of oil and 
LaTeX Math Inline
bodyq_g
 of gas as measured daily at separator with pressure 
LaTeX Math Inline
bodyp_s
and temperature
LaTeX Math Inline
bodyT_s
. 

While moving going down to depth 

LaTeX Math Inline
bodyl
 along the hole the wellbore pressure 
LaTeX Math Inline
bodyP_{wf}(l)
will be growing due to gravity of fluid column and friction losses emerging from fluid contact with inner pipe walls . 

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