Details
| Original language | English |
|---|---|
| Title of host publication | IAG 150 Years - Proceedings of the 2013 IAG Scientific Assembly |
| Editors | Chris Rizos, Pascal Willis |
| Publisher | Springer Verlag |
| Pages | 233-239 |
| Number of pages | 7 |
| ISBN (print) | 9783319246031 |
| Publication status | Published - 2016 |
| Event | 150th Anniversary with a Scientific Assembly, IAG 2013 - Potsdam, Germany Duration: 2 Sept 2013 → 6 Sept 2013 |
Publication series
| Name | International Association of Geodesy Symposia |
|---|---|
| ISSN (Print) | 0939-9585 |
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.
Keywords
- Free depths, Least-squares collocation, Point mass method, Regional gravity field modeling, Tikhonov regularization
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
- Earth and Planetary Sciences(all)
- Geophysics
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IAG 150 Years - Proceedings of the 2013 IAG Scientific Assembly. ed. / Chris Rizos; Pascal Willis. Springer Verlag, 2016. p. 233-239 (International Association of Geodesy Symposia).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Regional Gravity Field Modeling by Radially Optimized Point Masses
T2 - 150th Anniversary with a Scientific Assembly, IAG 2013
AU - Lin, Miao
AU - Denker, Heiner
AU - Müller, Jürgen
N1 - Funding information: Three anonymous reviewers are acknowledged for their valuable comments which improved the original manuscript. The first author is financially supported by China Scholarship Council (CSC) for his PhD study in Germany.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Free depths
KW - Least-squares collocation
KW - Point mass method
KW - Regional gravity field modeling
KW - Tikhonov regularization
UR - http://www.scopus.com/inward/record.url?scp=84984918384&partnerID=8YFLogxK
U2 - 10.1007/1345_2015_92
DO - 10.1007/1345_2015_92
M3 - Conference contribution
AN - SCOPUS:84984918384
SN - 9783319246031
T3 - International Association of Geodesy Symposia
SP - 233
EP - 239
BT - IAG 150 Years - Proceedings of the 2013 IAG Scientific Assembly
A2 - Rizos, Chris
A2 - Willis, Pascal
PB - Springer Verlag
Y2 - 2 September 2013 through 6 September 2013
ER -