The intermediate station trigonometric leveling method for replacing second-order leveling in complex terrain

Elevation measurement is fundamental to engineering construction and the acquisition of geospatial information, with its accuracy directly impacting project quality and safety. However, traditional high-precision leveling often suffers from low efficiency and operational difficulties in complex terrain. To address this, this study proposes a trigonometric leveling method using a high-precision total station based on the intermediate setup approach. By conducting multiple observation sets of distance and vertical angle, and combining them with trigonometric geometric relationships, elevation differences between control points were calculated. Measurements were carried out across seven control points located in topographically challenging areas. The results demonstrate that when the vertical angle does not exceed 30°, the difference in sight distances is less than 0.5 m, and the sight distance is within 600 m, the accuracy of this method meets the requirements for second-order leveling. This study technically verifies the feasibility of replacing second-order leveling with trigonometric leveling in complex terrain areas. On a practical level, it offers an efficient technical approach for surveying operations, contributing to significantly improved operational efficiency and reduced costs, thereby holding broad potential for application.

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Publication Details

Journal
Scientific Reports
Published
2026-04-14
DOI
https://doi.org/10.1038/s41598-026-49017-w
Primary Topic
Geodetic Measurements and Engineering Structures
Type
article
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article

The intermediate station trigonometric leveling method for replacing second-order leveling in complex terrain

Weixing Yang, Junwei Xu, Tingting Li
Scientific Reports
Geodetic Measurements and Engineering Structures
article

The intermediate station trigonometric leveling method for replacing second-order leveling in complex terrain

Weixing Yang, Junwei Xu, Tingting Li
article en

Abstract

Elevation measurement is fundamental to engineering construction and the acquisition of geospatial information, with its accuracy directly impacting project quality and safety. However, traditional high-precision leveling often suffers from low efficiency and operational difficulties in complex terrain. To address this, this study proposes a trigonometric leveling method using a high-precision total station based on the intermediate setup approach. By conducting multiple observation sets of distance and vertical angle, and combining them with trigonometric geometric relationships, elevation differences between control points were calculated. Measurements were carried out across seven control points located in topographically challenging areas. The results demonstrate that when the vertical angle does not exceed 30°, the difference in sight distances is less than 0.5 m, and the sight distance is within 600 m, the accuracy of this method meets the requirements for second-order leveling. This study technically verifies the feasibility of replacing second-order leveling with trigonometric leveling in complex terrain areas. On a practical level, it offers an efficient technical approach for surveying operations, contributing to significantly improved operational efficiency and reduced costs, thereby holding broad potential for application.

Scientific Reports
China University of Labor Relations (CN), PowerChina (China) (CN), Xi’an Children’s Hospital (CN), Intelligent Health (United Kingdom) (GB), Beijing Survey and Design Institute (China) (CN)
Sustainable cities and communities
Openalex Percentile: Top 9%
Geodetic Measurements and Engineering Structures
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The intermediate station trigonometric leveling method for replacing second-order leveling in complex terrain — Weixing Yang, Junwei Xu, et al. · Scientific Reports (2026) | TGRS Research Map | TGRS