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Optimization of Deformation Monitoring Networks using Finite Element Strain Analysis
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Satellite Positioning. WSP Civils, Department of Geographic Information and Asset Management.ORCID iD: 0000-0003-1602-4771
University West, Department of Engineering Science.ORCID iD: 0000-0003-0067-8631
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Satellite Positioning.ORCID iD: 0000-0002-8792-3646
2017 (English)In: Journal of Applied Geodesy, ISSN 1862-9016, E-ISSN 1862-9024Article in journal, Editorial material (Refereed) Submitted
Abstract [en]

An optimal design of a geodetic network can fulfill the requested precision and reliability of the network, and decrease the expenses of its execution by removing unnecessary observations. The role of an optimal design is highlighted in deformation monitoring network due to the repeatability of these networks. The core design problem is how to define precision and reliability criteria. This paper proposes a solution, where the precision criterion is defined based on the precision of deformation parameters, i.e. precision of strain and differential rotations. A strain analysis can be performed to obtain some information about the possible deformation of a deformable object. In this study, we split an area into a number of three-dimensional finite elements with the help of the Delaunay triangulation and performed the strain analysis on each element. According to the obtained precision of deformation parameters in each element, the precision criterion of displacement detection at each network point is then determined. The developed criterion is implemented to optimize the observations from the Global Positioning System (GPS) in Skåne monitoring network in Sweden. The network was established in 1989 and straddled the Tornquist zone, which is one of the most active faults in southern Sweden. The numerical results show that 17 out of all 21 possible GPS baseline observations are sufficient to detect minimum 3 mm displacement at each network point.

Place, publisher, year, edition, pages
2017.
National Category
Geotechnical Engineering
Research subject
Geodesy and Geoinformatics
Identifiers
URN: urn:nbn:se:kth:diva-219571OAI: oai:DiVA.org:kth-219571DiVA: diva2:1163698
Note

QC 20180115

Available from: 2017-12-07 Created: 2017-12-07 Last updated: 2018-01-15Bibliographically approved
In thesis
1. Optimal Design in Geodetic GNSS-based Networks
Open this publication in new window or tab >>Optimal Design in Geodetic GNSS-based Networks
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

An optimal design of a geodetic network helps the surveying engineers maximise the efficiency of the network. A number of pre-defined quality requirements, i.e. precision, reliability, and cost, of the network are fulfilled by performing an optimisation procedure. Today, this is almost accomplished by implementing analytical solutions, where the human intervention in the process cycle is limited to defining the requirements. Nevertheless, a trial and error method can be beneficial to some applications. In order to analytically solve an optimisation problem, it can be classified to different orders, where an optimal datum, configuration, and optimal observation weights can be sought such that the precision, reliability and cost criteria are satisfied.

In Paper I, a precision criterion was defined to enable a GNSS-based monitoring network to detect 5 mm displacements at each network point. Developing an optimisation model by considering this precision criterion, reliability and cost yielded a decrease of 17% in total baseline numbers. Paper II concerned a case, where the precision of observations could be improved in forthcoming measurements. Thus a new precision criterion was developed to consider this assumption. A significant change was seen in the optimised design of the network for subsequent measurements. In Paper III, the effect of mathematical correlations between GNSS baselines was considered in the optimisation. Hence, the sessions of observations, including more than two receivers, were optimised. Four out of ten sessions with three simultaneous operating receivers were eliminated in a monitoring network. In Paper VI, the area of interest was divided into a number of three-dimensional elements and the precision of deformation parameters was used in developing a precision criterion.

A real-time updated free station method uses RTK-GNSS to determine the coordinates and orientation of a total station. The efficiency of this method in height determination was investigated in Paper IV. The research produced promising results suggesting using the method as an alternative to traditional levelling under some conditions. Moreover, an optimal location for the total station in free station establishment was studied in Paper V. It was numerically shown that the height component has no significant effect on the optimal localisation.

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2017. 72 p.
Series
TRITA-SOM, ISSN 1653-6126 ; 2018-01
National Category
Geotechnical Engineering
Research subject
Geodesy and Geoinformatics
Identifiers
urn:nbn:se:kth:diva-221067 (URN)978-91-7729-631-7 (ISBN)
Public defence
2018-02-09, Kollegiesalen, Brinellvägen 8, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 2080115

Available from: 2018-01-15 Created: 2018-01-11 Last updated: 2018-01-15Bibliographically approved

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