大地坐标换带计算在定向井轨迹设计中的应用

为了解决定向井设计过程中处于相邻两个投影带相对坐标计算的问题,本文通过对高斯投影及分带理论的研究,推导了将经纬度换算成大地坐标(正算)和将大地坐标换算成经纬度(反算)的计算模型,提出了换带计算的算法,并通过现场一口井的实际数据对所推导的理论模型进行了验算,分别计算出了处于相邻两带的两个坐标点在北京54、西安80和WGS84坐标系下相对于井口的北坐标和东坐标,为定向井的轨迹设计提供了准确的靶点输入参数。

The Application of Zone Exchange Calculation of Terrestrial Coordinates in Directional Well Plan

In directional well plan,Zone Exchange Calculations have to be carried out to calculate horizontal displacement between two points located in two neighboring projection belts,the Gauss projection and division belts theory were studied in this paper.This paper introduced the computation model to convert the latitude and longitude into the geodetic coordinates(direct calculation)and to convert the geodetic coordinates into the latitude and longitude(reverse calculation),and proposed the arithmetic of Zone Exchange Calculations.Terrestrial Coordinates of tow points located in tow neighboring belts were calculated,then Northing and Easting of target relative to the wellhead were obtained,Terrestrial Coordinates of the same point were calculated respectively using Beijing 54,Xi'an 80 and WGS84 coordinates systems,The theoretical models for Zone Exchange Calculation were validated with the actual data of a well.