... Abstract An explicit solution to the general 3D point to target problem based on the minimum curvature method has been sought for more than four decades. The general case involves the trajectory's start and target points connected by two circular arcs joined by a straight line with the position...

... operation circular arc mwd measurement data quality upstream oil & gas drill bit lateral uncertainty directional survey minimum curvature method survey station point velocity model drilling noise reservoir characterization artificial intelligence seismic data maximum semblance position...

... trajectory design circular arc clothoid curve inclination automation azimuth natural curve model balanced tangential method natural curve method minimum energy Introduction Currently, complex wells are constructed to achieve maximum production. In this process, several optimization methods...

... sections. Although the transition between tangent and build sections or tangent and drop sections may appear to be smooth, there will always be some discontinuity between them and this discontinuity generate stresses in the tubulars. The discontinuity is obvious when two circular arcs, or one tangent...