An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion
The gravity anomaly and vertical gravity gradient due to anomalous geological bodies are mainly computed by numerical methods, so it is difficult and time-consuming to use the gravity-geological method to invert seafloor topography. This paper addresses this issue by deriving an expression for gravi...
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| Format: | Article |
| Language: | English |
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Surveying and Mapping Press
2021-12-01
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| Series: | Journal of Geodesy and Geoinformation Science |
| Subjects: | |
| Online Access: | http://jggs.sinomaps.com/fileup/2096-5990/PDF/1640826390557-1143750477.pdf |
| _version_ | 1818366669002637312 |
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| author | Huan XU,Jinhai YU,Xiaoyun WAN,Lei LIANG |
| author_facet | Huan XU,Jinhai YU,Xiaoyun WAN,Lei LIANG |
| author_sort | Huan XU,Jinhai YU,Xiaoyun WAN,Lei LIANG |
| collection | DOAJ |
| description | The gravity anomaly and vertical gravity gradient due to anomalous geological bodies are mainly computed by numerical methods, so it is difficult and time-consuming to use the gravity-geological method to invert seafloor topography. This paper addresses this issue by deriving an expression for gravity generated by a cylinder based on a series expansion. The choice of number for terms in the series is estimated by comparing with the numerical method, especially when the depth H=4000m, the accuracy of 1mGal(1Gal=10-2m/s2) can be achieved when the series are 9. The expressions can be used to establish the relationships between the shape of an anomalous body and the generated vertical gravity and vertical gravity gradient, respectively. Finally, the potential applications of the expressions in inverting seafloor topography are illustrated by synthetic examples. |
| first_indexed | 2024-12-13T22:39:50Z |
| format | Article |
| id | doaj.art-77fadeb9bc7f482a969f8fdf22d89541 |
| institution | Directory Open Access Journal |
| issn | 2096-5990 |
| language | English |
| last_indexed | 2024-12-13T22:39:50Z |
| publishDate | 2021-12-01 |
| publisher | Surveying and Mapping Press |
| record_format | Article |
| series | Journal of Geodesy and Geoinformation Science |
| spelling | doaj.art-77fadeb9bc7f482a969f8fdf22d895412022-12-21T23:28:52ZengSurveying and Mapping PressJournal of Geodesy and Geoinformation Science2096-59902021-12-0144637310.11947/j.JGGS.2021.0405An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry InversionHuan XU,Jinhai YU,Xiaoyun WAN,Lei LIANG01. College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;2. School of Land Science and Technology, China University of Geosciences (Beijing), Beijing 100083, China;3. Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430077, ChinaThe gravity anomaly and vertical gravity gradient due to anomalous geological bodies are mainly computed by numerical methods, so it is difficult and time-consuming to use the gravity-geological method to invert seafloor topography. This paper addresses this issue by deriving an expression for gravity generated by a cylinder based on a series expansion. The choice of number for terms in the series is estimated by comparing with the numerical method, especially when the depth H=4000m, the accuracy of 1mGal(1Gal=10-2m/s2) can be achieved when the series are 9. The expressions can be used to establish the relationships between the shape of an anomalous body and the generated vertical gravity and vertical gravity gradient, respectively. Finally, the potential applications of the expressions in inverting seafloor topography are illustrated by synthetic examples.http://jggs.sinomaps.com/fileup/2096-5990/PDF/1640826390557-1143750477.pdf|gravity-geological method|anomalous geological body|vertical gravity anomaly|vertical gravity gradient anomaly |
| spellingShingle | Huan XU,Jinhai YU,Xiaoyun WAN,Lei LIANG An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion Journal of Geodesy and Geoinformation Science |gravity-geological method|anomalous geological body|vertical gravity anomaly|vertical gravity gradient anomaly |
| title | An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion |
| title_full | An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion |
| title_fullStr | An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion |
| title_full_unstemmed | An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion |
| title_short | An Expression for Gravity Generated by an Anomalous Geological Body and Its Application in Bathymetry Inversion |
| title_sort | expression for gravity generated by an anomalous geological body and its application in bathymetry inversion |
| topic | |gravity-geological method|anomalous geological body|vertical gravity anomaly|vertical gravity gradient anomaly |
| url | http://jggs.sinomaps.com/fileup/2096-5990/PDF/1640826390557-1143750477.pdf |
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