Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis

Monitoring displacements of the object can be performed using geodetic methods by selecting reference points on the surrounding terrain and points on the object that discretely describe the object’s behavior. The measurements are repeated in several epochs. By analyzing the geodetic network we can d...

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Main Authors: Tomaž Ambrožič, Goran Turk, Aleš Marjetič
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Geosciences
Subjects:
Online Access:https://www.mdpi.com/2076-3263/13/11/330
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author Tomaž Ambrožič
Goran Turk
Aleš Marjetič
author_facet Tomaž Ambrožič
Goran Turk
Aleš Marjetič
author_sort Tomaž Ambrožič
collection DOAJ
description Monitoring displacements of the object can be performed using geodetic methods by selecting reference points on the surrounding terrain and points on the object that discretely describe the object’s behavior. The measurements are repeated in several epochs. By analyzing the geodetic network we can determine the status of a single point, i.e., whether the point has moved or not. The article discusses the testing of congruence, the testing of transformation of a single triangle, and the calculation of other deformation parameters in 2D networks resulting from the changes of points coordinates between two epochs. This is essentially the content of the Munich deformation method presented by W.M. Welsch, which includes the X- and L-method. The article also proposes some corrections to the original Munich approach. Finally, the applicability of the method is shown on a well-known practical example.
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spelling doaj.art-3183ed80649541b8a7fe10803bf746d52023-11-24T14:44:23ZengMDPI AGGeosciences2076-32632023-10-01131133010.3390/geosciences13110330Geodetic Applications and Improvement of the X- and L-Method of Deformation AnalysisTomaž Ambrožič0Goran Turk1Aleš Marjetič2Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova Cesta 2, 1000 Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova Cesta 2, 1000 Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova Cesta 2, 1000 Ljubljana, SloveniaMonitoring displacements of the object can be performed using geodetic methods by selecting reference points on the surrounding terrain and points on the object that discretely describe the object’s behavior. The measurements are repeated in several epochs. By analyzing the geodetic network we can determine the status of a single point, i.e., whether the point has moved or not. The article discusses the testing of congruence, the testing of transformation of a single triangle, and the calculation of other deformation parameters in 2D networks resulting from the changes of points coordinates between two epochs. This is essentially the content of the Munich deformation method presented by W.M. Welsch, which includes the X- and L-method. The article also proposes some corrections to the original Munich approach. Finally, the applicability of the method is shown on a well-known practical example.https://www.mdpi.com/2076-3263/13/11/330deformation analysisMunich approachstrain parametersgeodetic network
spellingShingle Tomaž Ambrožič
Goran Turk
Aleš Marjetič
Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
Geosciences
deformation analysis
Munich approach
strain parameters
geodetic network
title Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
title_full Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
title_fullStr Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
title_full_unstemmed Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
title_short Geodetic Applications and Improvement of the X- and L-Method of Deformation Analysis
title_sort geodetic applications and improvement of the x and l method of deformation analysis
topic deformation analysis
Munich approach
strain parameters
geodetic network
url https://www.mdpi.com/2076-3263/13/11/330
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