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Abstract

Summary

Ensuring the stability of reference benchmarks is essential for obtaining reliable data in geodetic monitoring of engineering structures. This study proposes an improved methodology for analysing the stability of height foundation points (HFP) based on successive approximations with strict accuracy assessment. The approach involves detecting unstable benchmarks by sequentially excluding the least stable points, defined according to the ratio between the displacement magnitude and its root mean square error. The methodology incorporates conditions of benchmark invariability, either for individual points or for the average mark of a benchmark group, with the corresponding weight matrix applied. To test the efficiency of the method, the OSMI software was developed for simulating levelling networks and modelling measured elevation differences using pseudorandom number generation. The experimental analysis demonstrated that when no displacements were assigned, the method correctly confirmed benchmark stability in all cases. When benchmark displacements were introduced, they were detected in 95–97% of cases. This proves the robustness of the proposed methodology and its applicability for detecting minimal displacements within levelling networks. The results confirm that the developed method allows not only for the reliable identification of unstable benchmarks but also for the quantitative determination of their displacements. This has significant importance in engineering practice, particularly in geodetic monitoring of structures where high precision and reliability of control are required.

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/content/papers/10.3997/2214-4609.202552100
2025-10-06
2026-01-13
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