椭球膨胀法在高原长距离工程中的应用

Ellipsoid expansion methods in highland long-distance project

对5种椭球膨胀方法进行系统的理论推导与分析,并在云南滇中引水这一典型的高原长距离工程中应用。研究获取椭球长半轴变化量、基准点大地坐标变化量、测区端点高斯坐标变化量与长度变形值等测算数据,并分析各种椭球膨胀方法数据结果的差异性与合理性。结果表明,平面解析法与广义微分法更适合作为高原长距离工程的椭球膨胀方法。

Five kinds of ellipsoid expansion methods are systematically analyzed and applied to the water diversion project in Central Yunnan, as the typical high altitude long-distance project. Firstly, this research obtains the semi-major axis of ellipsoid, geodetic coordinate variation of reference points, gauss coordinate variation of endpoints, and length variation. Then, the difference and rationality of all the ellipsoid expansion methods are analyzed. The results indicate the plane analytic method and generalized differential method are more suitable as the ellipsoid expansion methods of high altitude long-distance project.