地基GNSS-R公路边坡形变监测实验及误差分析

严颂华; 梅捷; 陈永谦; 陈璨

doi:10.13203/j.whugis20220802

地基GNSS-R公路边坡形变监测实验及误差分析

严颂华^{1, 2,},
梅捷¹,
陈永谦²,
陈璨¹

1.
武汉大学遥感信息工程学院,湖北武汉,430072
2.
武汉大学测绘遥感信息工程国家重点实验室,湖北武汉,430072

基金项目:

国家自然科学基金 42071406

详细信息

中图分类号: P258;TN95
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出版历程
- 收稿日期: 2022-12-27
- 网络出版日期: 2023-12-28
- 刊出日期: 2024-01-04

Road Slope Deformation Monitoring Experiment and Error Analysis by Ground Based GNSS-R Method

1.
School of Remote Sensing and Information Engineering,Wuhan University,Wuhan 430072,China
2.
State Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430072,China

摘要

摘要:
目前,使用全球卫星导航系统反射测量技术进行形变监测存在未进行真实坡面实验、未分析卫星运动影响和未探究接收天线位置偏移对形变监测结果的影响等问题。针对实际公路边坡进行形变监测,分析了卫星运动和反射信号接收天线位置偏移两种因素对形变反演精度的影响,提出一种同时适用于中圆地球轨道(medium earth orbit,MEO)卫星运动和倾斜地球同步轨道（inclined geosynchronous orbit, IGSO）卫星微小位置偏差的校正方法。接收天线位置偏移情况下的形变监测实验结果表明,通过运动卫星校正,利用MEO卫星对28.0 cm和11.7 cm位移的形变反演误差分别低至1.97 cm和0.56 cm,相较于校正前误差分别减小3.03 cm和2.70 cm；通过接收天线位置偏移实验,得出当天线位置偏移镜面反射线分别处于垂直方向约±6 $°$ 和水平方向约±5 $°$ 范围内时,不会对形变估测与反演结果造成大的影响。
- 全球卫星导航系统反射测量技术 /
- 形变反演 /
- 相位误差补偿 /
- 北斗系统
Abstract:
Objectives
Using global navigation satellite system reflectometry (GNSS-R) method to monitor road slope deformation has the advantages of large area and high efficiency. At present, there are three problems to be solved in the research based on this method. First, the errors caused by satellite motion need to be corrected. Second, it is necessary to evaluate the influence of antenna position of reflection signal on the accuracy of deformation inversion. Third, it is necessary to carry out experiments on actual road slopes.
Methods
By analyzing the phase difference between reflected GNSS signal and direct GNSS signal from road slope, deformation inversion of real slope is carried out. The effects of GNSS satellite movement and the position migration of the reflected signal receiving antenna on the accuracy of deformation inversion are analyzed. A correction method is proposed which can be applied to both medium earth orbit (MEO) and inclined geosynchronous orbit (IGSO) satellite motion and geostationary orbit satellite micro-position deviation. A method to calculate the maximum acceptable antenna position offset based on the reflecting surface area is presented.
Results
The results show that the inversion errors of MEO satellite for 28.0 cm and 11.7 cm position offsets are 1.97 cm and 0.56 cm respectively, which are reduced by 3.03 cm and 2.70 cm compared to before correction. Through the experiment of receiving antenna position offset, it is concluded that the deformation estimation and inversion results will not be affected when the antenna position is within about ±6° and ±5° in the center direction of the main lobe migration in the long side and the short side directions of a rectangular reflector respectively.
Conclusions
The accuracy of deformation inversion will not be affected when the position deviation of the reflector antenna is within the acceptable range that can be calculated. All these will provide reference for the future application of GNSS-R deformation monitoring technology.
- GNSS-reflectometry /
- deformation inversion /
- phase error compensation /
- BeiDou system
http://ch.whu.edu.cn/cn/article/doi/10.13203/j.whugis20220802

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http://ch.whu.edu.cn/cn/article/doi/10.13203/j.whugis20220802

图 1 地基GNSS⁃R形变测量几何构型图

Figure 1. Schematic Diagram of Ground Based GNSS-R Deformation Measurement

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图 2 6小时中卫星仰角变化

Figure 2. Variation of Satellite Elevation During 6 h

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图 3 5 min内仰角变化及对应校正相位值

Figure 3. Elevation Change and Corresponding Corrected Phase Value Within 5 min

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图 4 实验场地

Figure 4. Experimental Site

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图 5 信号处理流程

Figure 5. Flowchart of Signal Processing

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图 6 GEO星相关结果图

Figure 6. Correlation Result Graph of GEO Satellites

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图 7 GEO C03星相位提取结果

Figure 7. Phase Extraction Results of GEO C03 Satellite

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图 8 C35运动卫星相位补偿结果

Figure 8. Phase Compensation Results of Moving Satellite C35

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图 9 C35运动卫星相位补偿结果

Figure 9. Phase Compensation Results of Moving Satellite C35

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图 10 反射天线位置偏差实验场景

Figure 10. Experimental Scenario of Reflection Antenna Position Deviation

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图 11 理论RCS值与测量值比较

Figure 11. Comparison of Theoretical and Measured RCS Values

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图 12 公路边坡上的第一菲涅尔区

Figure 12. First Fresnel Zone on the Slope

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表 1 GEO星距离反演结果/cm

Table 1 Range Inversion Results of GEO Satellites/cm

卫星序号	真实形变量	原始反演形变	校正后形变量	形变校正量	最终误差
C01	28.0	26.63	26.63	0	-1.37
C03		26.65	26.62	-0.03	-1.38
C04		27.22	27.24	+0.02	-0.76

C01	11.7	12.65	12.65	0	0.95
C03		11.97	11.95	-0.03	0.25
C04		11.74	11.76	+0.02	0.06

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表 2 C35运动卫星相位补偿及形变反演结果/cm

Table 2 Deformation Inversion Results of Moving Satellite C35/cm

实际推动量	校正前反演距离	校正后反演距离	形变校正量	误差
28.0	33.00	29.97	-3.03	1.97
11.7	14.96	12.26	-2.70	0.56

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表 3 两次子实验的形变量反演结果

Table 3 Variable Inversion Results of Two Sub-Experiments

天线序号	竖直排列方式		水平排列方式
天线序号	偏移角度/(°)	形变反演误差/cm	偏移角度/(°)	形变反演误差/cm
LHCP1	2.63	0.43	2.63	0.17
LHCP2	0	0.72	0	0.44
LHCP3	3.65	0.52	2.72	0.68
LHCP4	6.29	0.58	5.36	0.52
相关系数	-0.40		0.17

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表 4 C45运动卫星相位补偿及形变反演结果/cm

Table 4 Deformation Inversion Results of Moving Satellite C45/cm

实际推动量	校正前反演距离	校正后反演距离	误差
28.0	18.16	21.42	6.58
11.7	4.41	7.67	4.03

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地基GNSS-R公路边坡形变监测实验及误差分析

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Road Slope Deformation Monitoring Experiment and Error Analysis by Ground Based GNSS-R Method

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