The central axis line of a well or a pipeline with a position vector \bf r at each point of trajectory given as:
(1) | {\bf r} = {\bf r}(l)= \{ x(l), \, y(l), \, z(l) \} |
where
{\bf r}(l) | position vector of trajectory point with z(l) being a ture vertical direction |
l | path length from pipeline intake point {\bf r}_0 |
{\bf r}_0 | well or pipeline intake point coordinates (usually {\bf r}_0 = \{ x_0 = 0, \, y_0 = 0, \, z_0 = 0 \}) |
In practice the trajectory is usually set by Deviation Data.
See also
Natural Science / Physics / Measuring / Positioning
[ Deviation Data ] [ Inclination ] [ Azimuth ]