高程异常建模技术的精度评价与稳定性研究  

Accuracy assessment and stability study of elevation anomaly modeling techniques

作　　者：曹冬冬 CAO Dongdong(China Coal Xi’an Design Engineering Co.,Ltd.,Xi’an 710054,China)

机构地区：[1]中煤西安设计工程有限公司责任公司,陕西西安710054

出　　处：《陕西煤炭》2025年第4期89-94,共6页Shaanxi Coal

摘　　要：高程异常是指地面同一点位上GNSS大地高与水准测量正常高之间的差异。建立精确可靠的高程异常模型,是将大地高转换为正常高的关键环节。通过在大海则-可可盖区域布设的GNSS-水准联测控制网,计算并对比了多项式函数、克里金函数、双三次样条函数及联合重力数据“移去-拟合-恢复”法4种高程异常建模方法的可靠性。研究结果表明,多项式函数模型的精度通常与多项式阶次成正相关,但高阶次易过拟合。克里金函数和双三次样条函数的精度及稳定性较高。联合重力数据的“移去-拟合-恢复”法在低数据密度下表现出较高稳定性,为选择适宜的高程异常建模方法提供了重要依据。Elevation anomaly refers to the difference between the GNSS geodetic height and the levelling normal height at the same point on the ground.Establishing an accurate and reliable elevation anomaly model is a key step in converting geodetic heights to normal heights.In this paper,a GNSS-levelling control network was set up in the Dahaize-Kekegai region to calculate and compare the reliability of four elevation anomaly modeling methods:polynomial functions,Kriging functions,bicubic spline functions,and the“remove-fit-restore”method combined with gravity data.The research results show that the accuracy of the polynomial function model is generally positively correlated with the polynomial order,but high orders tend to overfit.The Kriging function and bicubic spline function exhibit high accuracy and stability.The“remove-fit-restore”method combined with gravity data shows high stability under low data density conditions.This study provides important insights for selecting appropriate elevation anomaly modeling methods.

关 键 词：高程异常 多项式拟合 克里金插值 双三次样条 重力模型 模型精度 

分 类 号：P22[天文地球—大地测量学与测量工程]