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Modellbildung, Berechnungsstrategie und Beurteilung von Vertikalbewegungen unter Verwendung von Präzisionsnivellements / K. Zippelt (1988)

Public Titre : Modellbildung, Berechnungsstrategie und Beurteilung von Vertikalbewegungen unter Verwendung von Präzisionsnivellements Titre original : Kinematic Models, Determination and Interpretation of Recent Vertical Movements Based on the Analysis of Repeated Levellings Type de document : Thèse/HDR Auteurs : K. Zippelt, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1988 Collection : DGK - C Sous-collection : Dissertationen num. 343 Importance : 155 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9391-1 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Nivellement [Termes IGN] déformation verticale de la croute terrestre [Termes IGN] erreur systématique [Termes IGN] matrice de covariance [Termes IGN] modèle de déformation tectonique [Termes IGN] modèle stochastique [Termes IGN] nivellement [Termes IGN] République fédérale d'Allemagne [Termes IGN] réseau altimétrique local [Termes IGN] série de Taylor Index. décimale : 30.50 Nivellement - généralités Résumé : (Auteur) At present the determination of recent vertical movements is based on the analysis of repeated level!ings. These are scattered in time and inhomogeneously placed in the design. For their analysis, only a kinematic model will be suitable to give reliable estimations of height changes. The height of each point in the network as well as the observed height differences can be considered to be time-dependent. After a review of different methods in determining vertical movements, a taylor series is assumed as the base of the single-point-model presented in two forms and discussed in detail. The single-point-model is combined with different adjustment and datum models and it is developed into a mixed model in order to separate the rates of movements in parts of trend and noise. To complete the so-called "Karlsruhe Approach" the stochastic model of observed height differences is considered. With regard to well known levelling errors several possibilities to improve the stochastic model are described. This is done to get the best possi-ble estimation of vertical movements. Finaly features of computing in the functional model and in the datum lead to the application of a special sparse-technique which enables to adjust large networks. Based on all these considerations, a rigorous strategy including different adjustment models in four steps is developed. Statistical tests are executed to indicate the best model. In the first step the measurements are investigated to detect outliers in the data and to get a first view of the accuracy of the measurements. In the second step the kinematic and stochastic model is gene-rated using statistic methods and the judgement of the kovariancematrix of the unknowns. The fi-nal model is obtained in the third step applying a "weak" datum. The estimation of the junction-network is verified by evaluation of each single levelling line using a kinematic model, too. In the forth step the estimated rates of vertical movements are presented in different maps of con-tour lines. They are analysed to characterize the stochastic behaviour and to separate in trend rates and such of local noise. The analysis by deformation parameters, especially the horizontal gradient, describes the tilt included in the movements and gives information independent of the used datum. Using the developed strategy, a levelling network covering south-west Germany is analysed and the results are presented in detail. It is shown that most of the estimated values of recent mo-vements are not significant in a statistical sense. The considerations of a point disturbance in the junction points and such of a systematic scale error lead to an improvement of the estima-tion in the adjustment. Although the presented movements are not significant, different trends are recognizable and are discussed. Numéro de notice : 58689 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=60421

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58689-01	30.50	Livre	Centre de documentation	Géodésie	Disponible