Regional Gravity Field Modeling by Radially Optimized Point Masses

Case Studies with Synthetic Data

verfasst von
Miao Lin, Heiner Denker, Jürgen Müller
Abstract

A two-step point mass method with free depths is presented for regional gravity field modeling based on the remove-compute-restore technique. Three numerical test cases were studied using synthetic data with different noise levels. The point masses are searched one by one in the first step with a simultaneous determination of the depth and magnitude by the Quasi-Newton algorithm L-BFGS-B. In the second step, the magnitudes of all searched point masses are readjusted with known positions by solving a linear system in the least-squares sense. Tikhonov regularization with an identity regularization matrix is employed if ill-posedness exists. One empirical and two heuristic methods for choosing proper regularization parameters are compared. In addition, the solutions computed from standard and regularized least-squares collocation are presented as references.

Organisationseinheit(en)
Institut für Erdmessung
Typ
Aufsatz in Konferenzband
Seiten
233-239
Anzahl der Seiten
7
Publikationsdatum
2016
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Computer in den Geowissenschaften, Geophysik
Elektronische Version(en)
https://doi.org/10.1007/1345_2015_92 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“