Multiscale estimation of excess mass from gravity data
We describe a multiscale method to estimate the excess mass of gravity anomaly sources, based on the theory of source moments. Using a multipole expansion of the potential field and considering only the data along the vertical direction, a system of linear equations is obtained. The choice of invert...
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fthighwire:oai:open-archive.highwire.org:gji:197/3/1387 2023-05-15T17:40:19+02:00 Multiscale estimation of excess mass from gravity data Castaldo, Raffaele Fedi, Maurizio Florio, Giovanni 2014-06-01 00:00:00.0 text/html http://gji.oxfordjournals.org/cgi/content/short/197/3/1387 https://doi.org/10.1093/gji/ggu082 en eng Oxford University Press http://gji.oxfordjournals.org/cgi/content/short/197/3/1387 http://dx.doi.org/10.1093/gji/ggu082 Copyright (C) 2014, Oxford University Press Gravity geodesy and tides TEXT 2014 fthighwire https://doi.org/10.1093/gji/ggu082 2018-04-07T06:23:15Z We describe a multiscale method to estimate the excess mass of gravity anomaly sources, based on the theory of source moments. Using a multipole expansion of the potential field and considering only the data along the vertical direction, a system of linear equations is obtained. The choice of inverting data along a vertical profile can help us to reduce the interference effects due to nearby anomalies and will allow a local estimate of the source parameters. A criterion is established allowing the selection of the optimal highest altitude of the vertical profile data and truncation order of the series expansion. The inversion provides an estimate of the total anomalous mass and of the depth to the centre of mass. The method has several advantages with respect to classical methods, such as the Gauss’ method: (i) we need just a 1-D inversion to obtain our estimates, being the inverted data sampled along a single vertical profile; (ii) the resolution may be straightforward enhanced by using vertical derivatives; (iii) the centre of mass is also estimated, besides the excess mass; (iv) the method is very robust versus noise; (v) the profile may be chosen in such a way to minimize the effects from interfering anomalies or from side effects due to the a limited area extension. The multiscale estimation of excess mass method can be successfully used in various fields of application. Here, we analyse the gravity anomaly generated by a sulphide body in the Skelleftea ore district, North Sweden, obtaining source mass and volume estimates in agreement with the known information. We show also that these estimates are substantially improved with respect to those obtained with the classical approach. Text North Sweden HighWire Press (Stanford University) Geophysical Journal International 197 3 1387 1398 |
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Open Polar |
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HighWire Press (Stanford University) |
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language |
English |
topic |
Gravity geodesy and tides |
spellingShingle |
Gravity geodesy and tides Castaldo, Raffaele Fedi, Maurizio Florio, Giovanni Multiscale estimation of excess mass from gravity data |
topic_facet |
Gravity geodesy and tides |
description |
We describe a multiscale method to estimate the excess mass of gravity anomaly sources, based on the theory of source moments. Using a multipole expansion of the potential field and considering only the data along the vertical direction, a system of linear equations is obtained. The choice of inverting data along a vertical profile can help us to reduce the interference effects due to nearby anomalies and will allow a local estimate of the source parameters. A criterion is established allowing the selection of the optimal highest altitude of the vertical profile data and truncation order of the series expansion. The inversion provides an estimate of the total anomalous mass and of the depth to the centre of mass. The method has several advantages with respect to classical methods, such as the Gauss’ method: (i) we need just a 1-D inversion to obtain our estimates, being the inverted data sampled along a single vertical profile; (ii) the resolution may be straightforward enhanced by using vertical derivatives; (iii) the centre of mass is also estimated, besides the excess mass; (iv) the method is very robust versus noise; (v) the profile may be chosen in such a way to minimize the effects from interfering anomalies or from side effects due to the a limited area extension. The multiscale estimation of excess mass method can be successfully used in various fields of application. Here, we analyse the gravity anomaly generated by a sulphide body in the Skelleftea ore district, North Sweden, obtaining source mass and volume estimates in agreement with the known information. We show also that these estimates are substantially improved with respect to those obtained with the classical approach. |
format |
Text |
author |
Castaldo, Raffaele Fedi, Maurizio Florio, Giovanni |
author_facet |
Castaldo, Raffaele Fedi, Maurizio Florio, Giovanni |
author_sort |
Castaldo, Raffaele |
title |
Multiscale estimation of excess mass from gravity data |
title_short |
Multiscale estimation of excess mass from gravity data |
title_full |
Multiscale estimation of excess mass from gravity data |
title_fullStr |
Multiscale estimation of excess mass from gravity data |
title_full_unstemmed |
Multiscale estimation of excess mass from gravity data |
title_sort |
multiscale estimation of excess mass from gravity data |
publisher |
Oxford University Press |
publishDate |
2014 |
url |
http://gji.oxfordjournals.org/cgi/content/short/197/3/1387 https://doi.org/10.1093/gji/ggu082 |
genre |
North Sweden |
genre_facet |
North Sweden |
op_relation |
http://gji.oxfordjournals.org/cgi/content/short/197/3/1387 http://dx.doi.org/10.1093/gji/ggu082 |
op_rights |
Copyright (C) 2014, Oxford University Press |
op_doi |
https://doi.org/10.1093/gji/ggu082 |
container_title |
Geophysical Journal International |
container_volume |
197 |
container_issue |
3 |
container_start_page |
1387 |
op_container_end_page |
1398 |
_version_ |
1766141199304884224 |