The RTM harmonic correction revisited
In this paper, we derive improved expressions for the harmonic correction to gravity and, for the first time, expressions for the harmonic correction to potential and height anomaly. They need to be applied at stations buried inside the masses to transform internal values into harmonically downward...
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Springer Verlag
2022
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Online Access: | https://publikationen.bibliothek.kit.edu/1000148583 https://publikationen.bibliothek.kit.edu/1000148583/149014954 https://doi.org/10.5445/IR/1000148583 |
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ftubkarlsruhe:oai:EVASTAR-Karlsruhe.de:1000148583 2023-05-15T17:36:28+02:00 The RTM harmonic correction revisited Klees, R. Seitz, K. Slobbe, D. C. 2022-07-13 application/pdf https://publikationen.bibliothek.kit.edu/1000148583 https://publikationen.bibliothek.kit.edu/1000148583/149014954 https://doi.org/10.5445/IR/1000148583 eng eng Springer Verlag info:eu-repo/semantics/altIdentifier/wos/000805583600001 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00190-022-01625-w info:eu-repo/semantics/altIdentifier/issn/0949-7714 info:eu-repo/semantics/altIdentifier/issn/1432-1394 https://publikationen.bibliothek.kit.edu/1000148583 https://publikationen.bibliothek.kit.edu/1000148583/149014954 https://doi.org/10.5445/IR/1000148583 https://creativecommons.org/licenses/by/4.0/deed.de info:eu-repo/semantics/openAccess CC-BY Journal of Geodesy, 96 (6), Art.Nr. 39 ISSN: 0949-7714, 1432-1394 ddc:550 Earth sciences info:eu-repo/classification/ddc/550 doc-type:article Text info:eu-repo/semantics/article article info:eu-repo/semantics/publishedVersion 2022 ftubkarlsruhe https://doi.org/10.5445/IR/1000148583 https://doi.org/10.1007/s00190-022-01625-w 2023-01-22T23:18:23Z In this paper, we derive improved expressions for the harmonic correction to gravity and, for the first time, expressions for the harmonic correction to potential and height anomaly. They need to be applied at stations buried inside the masses to transform internal values into harmonically downward continued values, which are then input to local quasi-geoid modelling using least-squares collocation or least-squares techniques in combination with the remove-compute-restore approach. Harmonic corrections to potential and height anomaly were assumed to be negligible so far resulting in yet unknown quasi-geoid model errors. The improved expressions for the harmonic correction to gravity, and the new expressions for the harmonic correction to potential and height anomaly are used to quantify the approximation errors of the commonly used harmonic correction to gravity and to quantify the magnitude of the harmonic correction to potential and height anomaly. This is done for two test areas with different topographic regimes. One comprises parts of Norway and the North Atlantic where the presence of deep, long, and narrow fjords suggest extreme values for the harmonic correction to potential and height anomaly and corresponding large errors of the commonly used approximation of the harmonic correction to gravity. The other one is located in the Auvergne test area with a moderate topography comprising both flat and hilly areas and therefore may be representative for many areas around the world. For both test areas, two RTM surfaces with different smoothness are computed simulating the use of a medium-resolution and an ultra-high-resolution reference gravity field, respectively. We show that the errors of the commonly used harmonic correction to gravity may be as large as the harmonic correction itself and attain peak values in areas of strong topographic variations of about 100 mGal. Moreover, we show that this correction may introduce long-wavelength biases in the computed quasi-geoid model. Furthermore, we show that the ... Article in Journal/Newspaper North Atlantic KITopen (Karlsruhe Institute of Technologie) Norway |
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Open Polar |
collection |
KITopen (Karlsruhe Institute of Technologie) |
op_collection_id |
ftubkarlsruhe |
language |
English |
topic |
ddc:550 Earth sciences info:eu-repo/classification/ddc/550 |
spellingShingle |
ddc:550 Earth sciences info:eu-repo/classification/ddc/550 Klees, R. Seitz, K. Slobbe, D. C. The RTM harmonic correction revisited |
topic_facet |
ddc:550 Earth sciences info:eu-repo/classification/ddc/550 |
description |
In this paper, we derive improved expressions for the harmonic correction to gravity and, for the first time, expressions for the harmonic correction to potential and height anomaly. They need to be applied at stations buried inside the masses to transform internal values into harmonically downward continued values, which are then input to local quasi-geoid modelling using least-squares collocation or least-squares techniques in combination with the remove-compute-restore approach. Harmonic corrections to potential and height anomaly were assumed to be negligible so far resulting in yet unknown quasi-geoid model errors. The improved expressions for the harmonic correction to gravity, and the new expressions for the harmonic correction to potential and height anomaly are used to quantify the approximation errors of the commonly used harmonic correction to gravity and to quantify the magnitude of the harmonic correction to potential and height anomaly. This is done for two test areas with different topographic regimes. One comprises parts of Norway and the North Atlantic where the presence of deep, long, and narrow fjords suggest extreme values for the harmonic correction to potential and height anomaly and corresponding large errors of the commonly used approximation of the harmonic correction to gravity. The other one is located in the Auvergne test area with a moderate topography comprising both flat and hilly areas and therefore may be representative for many areas around the world. For both test areas, two RTM surfaces with different smoothness are computed simulating the use of a medium-resolution and an ultra-high-resolution reference gravity field, respectively. We show that the errors of the commonly used harmonic correction to gravity may be as large as the harmonic correction itself and attain peak values in areas of strong topographic variations of about 100 mGal. Moreover, we show that this correction may introduce long-wavelength biases in the computed quasi-geoid model. Furthermore, we show that the ... |
format |
Article in Journal/Newspaper |
author |
Klees, R. Seitz, K. Slobbe, D. C. |
author_facet |
Klees, R. Seitz, K. Slobbe, D. C. |
author_sort |
Klees, R. |
title |
The RTM harmonic correction revisited |
title_short |
The RTM harmonic correction revisited |
title_full |
The RTM harmonic correction revisited |
title_fullStr |
The RTM harmonic correction revisited |
title_full_unstemmed |
The RTM harmonic correction revisited |
title_sort |
rtm harmonic correction revisited |
publisher |
Springer Verlag |
publishDate |
2022 |
url |
https://publikationen.bibliothek.kit.edu/1000148583 https://publikationen.bibliothek.kit.edu/1000148583/149014954 https://doi.org/10.5445/IR/1000148583 |
geographic |
Norway |
geographic_facet |
Norway |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Journal of Geodesy, 96 (6), Art.Nr. 39 ISSN: 0949-7714, 1432-1394 |
op_relation |
info:eu-repo/semantics/altIdentifier/wos/000805583600001 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00190-022-01625-w info:eu-repo/semantics/altIdentifier/issn/0949-7714 info:eu-repo/semantics/altIdentifier/issn/1432-1394 https://publikationen.bibliothek.kit.edu/1000148583 https://publikationen.bibliothek.kit.edu/1000148583/149014954 https://doi.org/10.5445/IR/1000148583 |
op_rights |
https://creativecommons.org/licenses/by/4.0/deed.de info:eu-repo/semantics/openAccess |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.5445/IR/1000148583 https://doi.org/10.1007/s00190-022-01625-w |
_version_ |
1766135950107213824 |