The central axis line of a wellbore or a  pipeline with a position vector  at each point of trajectory given as:

{\bf r} = {\bf r}(l)= \{ x(l), \, y(l), \, z(l) \}

where

path length from pipeline intake point 

well or pipeline intake point coordinates (usually  )


In practice the trajectory is usually set by Deviation Data.

See also


Natural Science / Physics / Measuring / Positioning 

[ Deviation Data ] [ Inclination ]  [ Azimuth ]