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THE INFLUENCE OF COVARIANCE ON THE ESTIMATION OF THE ACCURACY OF VERTICAL DISPLACEMENTS, SLOPES AND DEFLECTIONS AS FUNCTIONS OF LEVELLING RESULTS IN GEOTECHNICAL MONITORING
Abstract
Research Object and Relevance. Geotechnical monitoring is an integral part of the safe operation of a facility. When the deformation network is a network of high-rise benchmarks, in addition to vertical displacements, slopes and deflections of intervals are calculated. Often, geotechnical researchers and engineers pay more attention to the quantitative values of various deformation characteristics, comparing calculated values with geomechanical models. In our article, we want to pay attention to the assessment of the quality of the calculated parameters: after all, if the geomechanical model can help in choosing the controlled deformation parameters and their critical values, the accuracy assessment allows you to choose the most effective monitoring technique and technology. Research Methods. In this article, we considered the influence of covariance moments on the assessment of the accuracy of vertical displacements, slopes and deflections depending on the equalized height values. Results. The results of the study obtained by us analytically and graphically showed that the replacement of the covariance matrix by the diagonal variance matrix does not affect the estimation of the accuracy of vertical displacements, while the RMS of the interval slopes and deflections significantly depend on the covariance. Conclusion. We draw the reader's attention to the fact that for a rigorous assessment of the accuracy of the calculated deformation values, information is needed on the total covariance matrix obtained from the results of levelling measurements adjustment in each series. We also recommend that geotechnical engineers pay attention to relative deformation networks - in order to obtain more accurate estimates of slopes and deflections, it is enough to level only the deformation network itself without using control points
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References12
Carri, Andrea&Savi, Roberto&Segalini, Andrea. (2017). Role of Geotechnical Monitoring: State of the Art and new perspectives. DOI: 10.35123/GEO-EXPO_2017_3.
Erol, S&Erol, Bihter&Ayan, T. (2004). A general review of the deformation monitoring techniques and a case study: analysing deformations using GPS/levelling.
Kolmogorov V.G., Mazurov B.T., Panzhin A.A., An algorithm for estimating the divergence of vector fields of the earth�s surface motion from geodetic data. Geodesy and Cartography, 79(10), 46-53 (2018) 10.22389 / 0016-7126-2018-940-10-46-53. DOI: 10.22389/0016-7126-2018-940-10-46-53
Aksamitauskas, Ceslovas&Rekus, Donatas&Wasilewski, Alojyz. (2010). Investigation of Error Sources Measuring Deformations of Engineering Structures by Geodetic Methods. The Baltic Journal of Road and Bridge Engineering. 5. DOI: 10.3846/bjrbe.2010.26.
Ledesma, A.&Gens, Antonio&Alonso, E.E.. (1996). Estimation of Parameters in Geotechnical Backanalysis -- I. Maximum Likelihood Approach. Computers and Geotechnics. 18. 1-27. DOI: 10.1016/0266-352X(95)00021-2.
A. Gens, A. Ledesma, E.E. Alonso, Estimation of Parameters in Geotechnical Backanalysis � II. Application to a Tunnel Excavation Problem, Computers and Geotechnics, Volume 18, Issue 1, 1996, Pages 29-46, ISSN 0266-352X, DOI: 10.1016/0266- 352X(95)00022-3. 352x(95)00022-3
Grodecki, J. (1997). Estimation of Variance-Covariance Components for Geodetic Observations and Implications on Deformation Trend Analysis. Ph.D. dissertation, Department of Geodesy and Geomatics Engineering Technical Report No. 186, University of New Brunswick, Fredericton, New Brunswick, Canada, 243 pp.
Teunissen, P.J.G., Amiri-Simkooei, A.R. Least-squares variance component estimation. J Geod 82, 65�82 (2008). DOI: 10.1007/s00190-007-0157-x
Amiri-Simkooei, A.. (2007). Least-squares variance component estimation: theory and GPS applications. 64. 208 pp. DOI: 10.54419/fz6c1c
Setan, Halim&Singh, Ts. Sr Gs. Ranjit. (2001). Deformation analysis of a geodetic monitoring network. Geomatica. Vol. 55, No. 3, 2001
Kaminski W, Makowska K. The Concept of Geodetic Analyses of the Measurement Results Obtained by Hydrostatic Leveling. Geosciences. 2019; 9(10):406 DOI: 10.3390/geosciences9100406
Savs?ek, Simona. (2017). An alternative approach to testing displacements in a geodetic network. Geodetski Vestnik. 61. 387-411. DOI: 10.15292//geodetskivestnik.2017.03.387-411. https://doi.org/10.15292//geodetski-vestnik.2017.03.387-411
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