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Verwendung und Bewertung von a-priori Information bei potentiell singulären Inversionsproblemen am Beispiel der gravimetrischen Bestimmung von Dichteverteilungen / P.L. Smilde (1998)
Titre : Verwendung und Bewertung von a-priori Information bei potentiell singulären Inversionsproblemen am Beispiel der gravimetrischen Bestimmung von Dichteverteilungen Titre original : [Utilisation et évaluation de l'information à priori dans les problèmes singuliers d'inversion de potentiel, par exemple la détermination gravimétrique de la distribution de densité] Type de document : Thèse/HDR Auteurs : P.L. Smilde, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1998 Collection : DGK - C Sous-collection : Dissertationen num. 490 Importance : 90 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9530-4 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] application informatique
[Termes IGN] covariance
[Termes IGN] levé gravimétrique
[Termes IGN] matrice de covariance
[Termes IGN] problème inverse
[Termes IGN] valeur propreIndex. décimale : 30.42 Gravimétrie Résumé : (Auteur) Inversionproblems like the determination of the density distribution of the earth from gravimetrical data, are singular on principal, and hence depend upon a-priori information. In addition a-priori information is the criterion for comparing and evaluating all the results of inversion procedures. This work advocates to incorporate as much a-priori information as possible in the solution procedure.
For the purpose of checking the influence of this a-priori information on the results the a-posteriori covariance matrix in particular is considered as a criterion of evaluation. A kind of contrast amplification of its content of information is achieved, by comparing it with a suitable criterion covariance matrix. This results in indications about the spreading of the solution relative to any criterion, or about the reduction of spreading due to the (gravimetrical) data relative to the a-priori information. A more precise specification can be achieved by means of the eigenvalue / eigenvector analysis. This also allows for indications about the properties of an additional, new observation method, which would be able to increase the resolution of the density distribution of interest.
The influence of the non-linearity, which is usually introduced by use of a-priori information, is treated.
To test the practical usefulness of these ideas, a software package named INVERT was developed. It allows for many kinds of influence concerning a-priori information, in particular by adapting the parametrization and by inviting to define the spreading of the a-priori information as extensive as possible.
A case study of the Meerfelder Maar shows how a potentially underdetermined inversion problem can be solved with a reasonable result, by incorporation of specific kinds of (geological) a-priori information. The results indicate which components of the a-priori information will be corrected by gravimetrical data, while avoiding their total rejection, and which kind of a-priori information should be verified very well, because it is not checked by any gravimetrical data.Numéro de notice : 67051 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=61693 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 67051-01 30.42 Livre Centre de documentation Géodésie Disponible 67051-02 30.42 Livre Centre de documentation Géodésie Disponible