摘要
Abstract
Spatial arc, as a typical model to plan a 3D well path, is widely applied in planning the path of multiple targets well, branch well, sidetrack well and in rectifying the path of directional well, horizontal well and extended-reach well. The problem becomes even more complicated for two reasons: A 3D well path is usually planned and calculated in the vertical plot and the horizontal plot;on the other hand the spatial arc is not a simple curve as arcs in these two plots. As a result, approximation formulae have been used to calculate a spatial arc. According to the plan demand of well path and the feature of spatial arc, a series of formulae, including coordinate, inclination, azimuth, rate of inclination change, rate of azimuth change and tool face angle, are presented in this paper for spatial arc model. All of these formulae, testified by many examples, provided such exact solutions abstractly that they lay a foundation for the further application of spatial arc model and the path plan improvement of 3D wells.关键词
钻井理论/定向井/水平井/轨道设计/数学模型/井眼轨迹Key words
Drilling theory/Directional well/Horizontal well/Mathematical model/Hole trajectory分类
能源科技
