Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives
Abstract The Tilt-depth is a popular approach for determining depths of magnetic sources. As this method is based on the distance between contour levels of the tilt angle, it can lead to inaccurate depth estimates when the contour lines are distorted by the presence of noise. In this paper, we stabi...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-03-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-57314-5 |
| _version_ | 1797233610770612224 |
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| author | Kamal Abdelrahman Luan Thanh Pham Saulo Pomponet Oliveira Van-Hao Duong Thong Kieu Duy David Gomez-Ortiz Mohammed S. Fnais Ahmed M. Eldosouky |
| author_facet | Kamal Abdelrahman Luan Thanh Pham Saulo Pomponet Oliveira Van-Hao Duong Thong Kieu Duy David Gomez-Ortiz Mohammed S. Fnais Ahmed M. Eldosouky |
| author_sort | Kamal Abdelrahman |
| collection | DOAJ |
| description | Abstract The Tilt-depth is a popular approach for determining depths of magnetic sources. As this method is based on the distance between contour levels of the tilt angle, it can lead to inaccurate depth estimates when the contour lines are distorted by the presence of noise. In this paper, we stabilize the Tilt-depth method based on the computation of stable vertical derivative obtained by the β-VDR method. The presented method is demonstrated on synthetic magnetic anomalies and real magnetic data from the Arabian Shield. The results obtained from the synthetic examples coincide well with the actual depths. These results proved the utility of the presented method in cases where the field is corrupted by noise. The real example shows that the presented method can provide valuable information on subsurface structures of the area where the Tilt-depth estimates are consistent with the result of the horizontal tilt angle. The findings show that the presented method is less sensitive to noise and can provide source edges and depths more clearly and with higher accuracy. |
| first_indexed | 2024-04-24T16:18:55Z |
| format | Article |
| id | doaj.art-a4a9e7a637f646b288dfa5fd43e29b24 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-24T16:18:55Z |
| publishDate | 2024-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-a4a9e7a637f646b288dfa5fd43e29b242024-03-31T11:19:50ZengNature PortfolioScientific Reports2045-23222024-03-0114111410.1038/s41598-024-57314-5Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivativesKamal Abdelrahman0Luan Thanh Pham1Saulo Pomponet Oliveira2Van-Hao Duong3Thong Kieu Duy4David Gomez-Ortiz5Mohammed S. Fnais6Ahmed M. Eldosouky7Department of Geology and Geophysics, College of Science, King Saud UniversityUniversity of Science, Vietnam National University HanoiDepartment of Mathematics, Federal University of ParanaVNU School of Interdisciplinary Studies, Vietnam National UniversityHanoi University of Mining and GeologyDepartment of Biology and Geology, Physics and Inorganic Chemistry, ESCET, Universidad Rey Juan CarlosDepartment of Geology and Geophysics, College of Science, King Saud UniversityDepartment of Geology, Faculty of Science, Suez UniversityAbstract The Tilt-depth is a popular approach for determining depths of magnetic sources. As this method is based on the distance between contour levels of the tilt angle, it can lead to inaccurate depth estimates when the contour lines are distorted by the presence of noise. In this paper, we stabilize the Tilt-depth method based on the computation of stable vertical derivative obtained by the β-VDR method. The presented method is demonstrated on synthetic magnetic anomalies and real magnetic data from the Arabian Shield. The results obtained from the synthetic examples coincide well with the actual depths. These results proved the utility of the presented method in cases where the field is corrupted by noise. The real example shows that the presented method can provide valuable information on subsurface structures of the area where the Tilt-depth estimates are consistent with the result of the horizontal tilt angle. The findings show that the presented method is less sensitive to noise and can provide source edges and depths more clearly and with higher accuracy.https://doi.org/10.1038/s41598-024-57314-5 |
| spellingShingle | Kamal Abdelrahman Luan Thanh Pham Saulo Pomponet Oliveira Van-Hao Duong Thong Kieu Duy David Gomez-Ortiz Mohammed S. Fnais Ahmed M. Eldosouky Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives Scientific Reports |
| title | Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| title_full | Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| title_fullStr | Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| title_full_unstemmed | Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| title_short | Reliable Tilt-depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| title_sort | reliable tilt depth estimates based on the stable computation of the tilt angle using robust vertical derivatives |
| url | https://doi.org/10.1038/s41598-024-57314-5 |
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