引用本文: 郭春喜, 聂建亮, 田婕, 王斌, 靳鑫洋, 赵大江. GNSS水准高程变化自适应融合的垂直形变分析[J]. 武汉大学学报 ( 信息科学版), 2020, 45(1): 7-12.
GUO Chunxi, NIE Jianliang, TIAN Jie, WANG Bin, JIN Xinyang, ZHAO Dajiang. Analysis of Vertical Deformation with the Adaptive Fusion of GNSS and Leveling Elevation Variation[J]. Geomatics and Information Science of Wuhan University, 2020, 45(1): 7-12.
 Citation: GUO Chunxi, NIE Jianliang, TIAN Jie, WANG Bin, JIN Xinyang, ZHAO Dajiang. Analysis of Vertical Deformation with the Adaptive Fusion of GNSS and Leveling Elevation Variation[J]. Geomatics and Information Science of Wuhan University, 2020, 45(1): 7-12.

## Analysis of Vertical Deformation with the Adaptive Fusion of GNSS and Leveling Elevation Variation

• 摘要: 全球导航卫星系统（global navigation satellite system，GNSS）与水准是获取垂直形变量的重要手段，由于不同的仪器、误差模型、数据处理方法等因素，GNSS、水准两类高程变化结果之间存在系统偏差问题，由此提出了一种GNSS与水准高程变化的自适应融合方法。首先利用自适应最小二乘配置建立GNSS与水准重合点两类高程变化量之间的转换模型；然后利用转换模型修正其他GNSS控制点的高程变化量；最后利用反距离加权法建立区域高程变化速度格网模型。实验以山东省水准网与GNSS控制网数据为例，利用高程变化较一致的60个GNSS水准点建立高程变化转换模型，实现了GNSS与水准高程变化的有效融合，削弱了GNSS大地高变化与正常高变化之间的系统偏差，提高了山东省区域高程变化分析的可靠性。

Abstract: Global navigation satellite system(GNSS) and leveling are two important approaches to obtain the numerical vertical deformation. Due to different instruments, error models, data processing methods and other factors, systematic deviations exist between the results of elevation variation derived from the two approaches. Therefore, an adaptive fusion method of GNSS and leveling elevation variation is proposed. Firstly, the adaptive least-square configuration is used to establish the transition model for elevation variation between GNSS and leveling coincidence points. Then, we use the model to correct the elevation variation of other GNSS control points. Finally, the inverse distance weighting algorithm is used to establish the regional elevation change velocity grid model. The experiment takes the data of Shandong Provincial leveling network and GNSS control network as an example. The elevation change transition model is established by using 60 GNSS leveling points with relatively elevation changes to achieve effective fusion of GNSS and leveling elevation changes, which weakening the systematic deviation between GNSS geodetic height variation and normal height variation, and improving the reliability of regional elevation change analysis in Shandong Province.

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