二次曲面模型在库区GPS拟合高程测量中的应用

Application of quadric curved surface model in GPS height fitting measurement of reservoir area

根据库区GPS控制网大地高与二等水准、四等三角高程,采用最小二乘法原理,建立平面模型、二次曲面模型、三次曲面模型,求得较高精度高程异常,在GPS测量得到平面位置的同时,获得工程中使用的正常高程。通过对平面模型、二次曲面模型和三次曲面模型比较分析,说明在山区二次曲面模型就能够满足一定等级高程测量精度要求。在水电工程河谷流域采用GPS拟合高程,能够减轻劳动强度,提高工效。

On the basis of GPS control network geodetic height,second-order leveling,fourth grade trigonometry level in reservoir area,by adopting the principle of least square method and establishing plane model,quadric curved surface model,cubic surface model,the height-anomaly with high accuracy is obtained and in the meantime,the plane location measurement by GPS,the normal height using in engineering is obtained.The comparing and analysis among the plane model,quadric curved surface model,and cubic surface model show that in the mountainous area,the quadric curved surface model can meet the accuracy requirement of certain height measurement.Using GPS fitting height in a river valley area can reduce labor strength and improve working efficiency and economic benefit.