李敏, 李琼, 苏勇. 高精度地球重力场计算垂线偏差及隧道贯通误差[J]. 武汉大学学报 ( 信息科学版). DOI: 10.13203/j.whugis20220291
引用本文: 李敏, 李琼, 苏勇. 高精度地球重力场计算垂线偏差及隧道贯通误差[J]. 武汉大学学报 ( 信息科学版). DOI: 10.13203/j.whugis20220291
LI Min, LI Qiong, SU Yong. Calculation of Vertical Deviation and Tunnel Through Error Based on High-Precision Earth Gravity Field[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20220291
Citation: LI Min, LI Qiong, SU Yong. Calculation of Vertical Deviation and Tunnel Through Error Based on High-Precision Earth Gravity Field[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20220291

高精度地球重力场计算垂线偏差及隧道贯通误差

Calculation of Vertical Deviation and Tunnel Through Error Based on High-Precision Earth Gravity Field

  • 摘要: 高精度高分辨率地球重力场模型可用来获取全球或区域垂线偏差, 本文利用三组最大阶数为 2190 阶的超高阶高精度重力场模型(GECO 模型、 EIGEN-6C4 模型和 SGG-UGM-2模型)计算了西部重要交通枢纽工程沿线区域尤其是规划站点的垂线偏差, 针对重点隧道区域计算分析了在不同的洞外控制点高度角条件下, 垂线偏差带来的隧道贯通误差影响。 计算表明: 基于三组地球重力场模型获取的西部重要交通枢纽工程沿线区域垂线偏差的子午圈分量为 20″ 左右,卯酉圈分量小于 1″ ,且三组模型计算的垂线偏差卯酉圈分量差异小于 0.04″, 而子午圈分量差异小于 0.6″ ;针对工程中规划的 6 个重要隧道设计的实验结果表明, 当洞外控制点高度角为 45º、 35º、 25º和 15º时, 垂线偏差对横向贯通误差影响值分别约为 180 mm、 130 mm、 100 mm 和 70 mm。 因此隧道外控制点高度角大小能直接决定垂线偏差对隧道横向贯通误差的影响, 在实际施工过程中应尽量保证将隧道外控制点埋设在等高面上,若由于地形条件等影响无法调整控制点间高度角,则必须进行垂线偏差的改正,以削弱贯通误差的影响, 进而保证隧道的顺利贯通。

     

    Abstract: Objectives: As a important traffic engineering under construction, the successful construction and operation of the major transportation hub project in west is of great significance to promoting the economic development of Tibet, enhancing national unity and even the development of the country. Ensuring the smooth through of dozens of long tunnels on the major transportation hub project in west is a difficult problem in the construction of the major transportation hub project in west. Due to the vertical deviation between the GNSS positioning results and the results of the traverse survey using the total station in the tunnel, it will affect the correctness of the pilot survey. Therefore, it is particularly important to calculate and analyze the vertical deviation of the planned stations of the major transportation hub project in west and key tunnel areas and the resulting tunnel through error. Method: In this paper, three sets of ultra-high-precision gravity field models (GECO model, EIGEN-6C4 model and SGG-UGM-2 model) with a maximum order of 2190 are used to calculate the vertical deviation of the area along the major transportation hub project in west, especially the planned stations. For the key tunnel area, the influence of the tunnel penetration error caused by the deviation of the vertical line is calculated and analyzed under the condition of different vertical angles of the control point outside the tunnel. Results: The research results show that: (1) The vertical deviation along the major transportation hub project in west has a larger meridian component, which is about 20", and the Prime Vertical component is below 1"; (2) Between the three gravity field models, the maximum difference of the vertical deviation between any two models is 0.04", the minimum is 0", the average difference is 0.005", the maximum difference of the meridional component is 0.6", the minimum is 0" and the average difference is 0.08"; (3) In the selected 6 key tunnel areas, when the vertical angle of the entrance is 45º, the horizontal penetration error caused by the vertical deviation of the important tunnel areas in the major transportation hub project in west planning is 170mm-190mm. When the vertical angle of the entrance outside the hole is 35º, the lateral penetration error value is 120mm-140mm. When the vertical angle of the entrance is 25º, the lateral penetration error value is 90-100mm. When the vertical angle of the entrance is 15º, the lateral penetration error value is 60-70mm. Conclusion: (1) The calculation results of GECO model, EIGEN-6C4 model and SGG-UGM-2 model are basically the same, and the difference is small, The slight difference is mainly caused by the different data sources and model solution methods of the three groups of models; (2) The vertical deviation of important tunnel areas in the major transportation hub project in west planning is very large, which will bring about the lateral through error of the tunnel far beyond the allowable value. The vertical angle of the control points outside the tunnel can directly determine the influence of the vertical deviation on the horizontal penetration error of the tunnel. In the actual construction process of major transportation hub project in west, it should be ensured that the control points outside the tunnel are buried on the contour surface as far as possible. If the vertical angle between the control points cannot be adjusted due to geological conditions, the vertical deviation must be corrected to weaken the influence of the penetration error, so as to ensure the smooth penetration of the tunnel.

     

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