Abstract
We study the accuracy of local gravity field modelling using four different types of the integral-equation-based approaches, namely the Poisson integral, Green integral, pointmass, and radial multipole approaches. We investigate how these four discretised integral equations perform when the gravity data are corrected for the residual terrain model (RTM-correction) and for the reference gravity field (remove–restore scheme). All integral equations are discretised below data points at the chosen constant depth relative to the Bjerhammar sphere. The choice of the optimal depth of discretization is done based on minimising the RMS fit between the observed and predicted gravity data. In all four approaches the number of unknown parameters is identical to the number of input gravity data and the systems of discretised integral equations are solved using Jacobi iteration. The regularisation is not applied. The study area in New Zealand comprises a rough part of the Southern Alps in the South Island with flat coastal regions including offshore areas. The results of numerical experiments are presented and discussed. We demonstrate that the application of the RTM-correction to gravity data significantly improves the accuracy of the gravity field approximation when using the Green integral approach.
Original language | English |
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Title of host publication | Earth on the Edge |
Subtitle of host publication | Science for a Sustainable Planet - IAG General Assembly, Proceedings |
Publisher | Springer Verlag |
Pages | 283-289 |
Number of pages | 7 |
Volume | 139 |
ISBN (Electronic) | 9783642372216 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Externally published | Yes |
Event | International Association of Geodesy Symposia, IAG 2011 - , Austria Duration: 28 Jun 2011 → 2 Jul 2011 |
Conference
Conference | International Association of Geodesy Symposia, IAG 2011 |
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Country/Territory | Austria |
Period | 28/06/11 → 2/07/11 |
Keywords
- Integral equation
- Local gravity
- Point mass
- Radial multipole
- Reference field
- Remove–restore technique
- Residual terrain model
ASJC Scopus subject areas
- Computers in Earth Sciences
- Geophysics