广义延拓法在似大地水准面模型精化中的应用

Application of generalized extended method on refining quasi-Geoid model

为了确定广义延拓法在似大地水准面模型精化中的精度,采用理论分析与实验的方法,研究了GPS技术所获得的大地高数据和水准测量获得的正常高数据之间的关系,推导了广义延拓法的数学模型,用铁法矿区的实验数据,验证了广义延拓法的拟合结果。研究结果表明:其精度和计算时间均优于精度较高的有限元法,在不引入其他数据的情况下,在丘陵地区可以达到四等水准的精度要求。该成果对似大地水准面精化具有一定的参考价值和指导意义。

To determine the accuracy of generalized extended method in quasi-Geoid model refinement,this study investigated the relationship between the data of geodetic height by GPS and the data of normal height by leveling based on theoretical analysis and experiment.In addition,the study derived a mathematical model of generalized extended method.The fitting results were validated by the experimental data from Tiefa mining area.The results show that the accuracy and computing time of generalized extended method exceed those of finite element method [1].Without using other data,the accuracy of generalized extended method can achieve the requirement of fourth leveling in hilly area.The results are useful and are of significance to quasi-Geoid model refinement.