Learning Outcomes
The aim of this course is to provide, at high level, the necessary knowledge for determining time-dependent positions in geodetic and surveying networks, and their exploitation for detecting ground or structural deformations. The course is particularly focused on theoretical and practical aspects of modern techniques for network adjustment with multi-epoch observations, along with the implementation of statistical testing tools for the assessment of geometrical deformation in time-dependent geodetic networks.
The objective is to provide students with the following competencies at the completion of the course:
- Understand the main principles and related concepts of time-dependent geodetic networks and their modeling procedures.
- Use of different approaches for the least squares adjustment of multi-epoch network observations and the optimal estimation of time-dependent coordinates in geodetic networks.
- Combine and compare network adjustment solutions from different epochs to infer the dynamic behavior of its stations.
- Apply several versions of the general hypothesis statistical to evaluate the geometric deformation in time-dependent geodetic networks.
- Interpret, in a critical way, the results from different epoch adjustments in deformable geodetic networks and provide concrete conclusions for their information content.
Course Content (Syllabus)
The course content is organized in the following sections:
Introduction – Course description
Part I
Review of network adjustment and reference frame theory
Time-dependent networks and their modeling
Adjustment of multi-epoch observations in time-dependent networks
Joint analysis of epoch solutions in time-dependent networks
General hypothesis statistical test and its use in time-dependent networks
Statistical tests for the detection of network deformation
Part II
Basic principles of deformation theory in elastic bodies
Estimation of strain and strain-rate in time-dependent networks
Determination of deformation fields from geodetic/surveying observations
Part III
Applications, practical examples and case studies
Keywords
dynamic networks, time-dependent positions, least-squares adjustment of multi-epoch observations, network deformation, statistical tests
Additional bibliography for study
Caspary W.F. (1987) Concepts of network and deformation analysis. Monograph no. 11, School of Surveying, University of New South Wales, Kensington NSW, Australia.
Koch K-R (1987) Parameter Estimation and Hypothesis Testing in Linear Models. Springer-Verlag.
Kuang S. (1996) Geodetic network analysis and optimal design: concepts and applications. Ann Arbor Press, Inc. Chelsea, Michigan.
Strang G., Borre K. (1997) Linear algebra, Geodesy and GPS. Wellesley-Cambridge Press, Wellesley, MA.
Δερμάνης Α. (1987) Συνορθώσεις παρατηρήσεων και θεωρία εκτίμησης (τόμος 2). Εκδόσεις Ζήτη, Θεσ/νίκη.
Δερμάνης Α., Φωτίου Α. (1992) Μέθοδοι και εφαρμογές συνόρθωσης παρατηρήσεων. Εκδόσεις Ζήτη, Θεσ/νίκη.