Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid
As an effective underground imaging method, the joint inversion of the gravity and magnetic data has an important application in the comprehensive interpretation of mineral exploration, and unstructured modeling is the key to accurately solving its topographic problem. However, the traditional tetra...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/14/18/4651 |
| _version_ | 1797482724307501056 |
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| author | Haoyuan He Tonglin Li Rongzhe Zhang |
| author_facet | Haoyuan He Tonglin Li Rongzhe Zhang |
| author_sort | Haoyuan He |
| collection | DOAJ |
| description | As an effective underground imaging method, the joint inversion of the gravity and magnetic data has an important application in the comprehensive interpretation of mineral exploration, and unstructured modeling is the key to accurately solving its topographic problem. However, the traditional tetrahedral grid can only impose the gradient-based constraints approximately, owing to its poor arrangement regularity. To address the difficulty of applying a cross-gradient constraint in an unstructured grid, we propose a joint inversion based on a combined hexahedral grid, which regularly divides the shallow part into curved hexahedrons and the deep part into regular hexahedrons. Instead of a cross-gradient in the spatial sense, we construct a geometric sense “cross-gradient” for a structural constraint to reduce the influence of approximation. In addition, we further correct the traditional sensitivity-based weighting function according to element volume, to make it suitable for an unstructured grid. Model tests indicate that the new grid can impose the cross-gradient constraint more strongly, and the proposed correction can effectively solve the false anomaly caused by the element volume difference. Finally, we apply our method to the measured data from a mining area in Huzhong, Heilongjiang Province, China, and successfully invert out the specific location of a known skarn deposit, which further proves its practicability. |
| first_indexed | 2024-03-09T22:37:33Z |
| format | Article |
| id | doaj.art-3a426abc1e1d483c872f42c2cb5a3a2f |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-09T22:37:33Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-3a426abc1e1d483c872f42c2cb5a3a2f2023-11-23T18:46:15ZengMDPI AGRemote Sensing2072-42922022-09-011418465110.3390/rs14184651Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral GridHaoyuan He0Tonglin Li1Rongzhe Zhang2College of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, ChinaCollege of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, ChinaCollege of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, ChinaAs an effective underground imaging method, the joint inversion of the gravity and magnetic data has an important application in the comprehensive interpretation of mineral exploration, and unstructured modeling is the key to accurately solving its topographic problem. However, the traditional tetrahedral grid can only impose the gradient-based constraints approximately, owing to its poor arrangement regularity. To address the difficulty of applying a cross-gradient constraint in an unstructured grid, we propose a joint inversion based on a combined hexahedral grid, which regularly divides the shallow part into curved hexahedrons and the deep part into regular hexahedrons. Instead of a cross-gradient in the spatial sense, we construct a geometric sense “cross-gradient” for a structural constraint to reduce the influence of approximation. In addition, we further correct the traditional sensitivity-based weighting function according to element volume, to make it suitable for an unstructured grid. Model tests indicate that the new grid can impose the cross-gradient constraint more strongly, and the proposed correction can effectively solve the false anomaly caused by the element volume difference. Finally, we apply our method to the measured data from a mining area in Huzhong, Heilongjiang Province, China, and successfully invert out the specific location of a known skarn deposit, which further proves its practicability.https://www.mdpi.com/2072-4292/14/18/4651undulating terrainunstructured gridcurved hexahedron3D joint inversioncross-gradient constraintsensitivity-based weighting |
| spellingShingle | Haoyuan He Tonglin Li Rongzhe Zhang Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid Remote Sensing undulating terrain unstructured grid curved hexahedron 3D joint inversion cross-gradient constraint sensitivity-based weighting |
| title | Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid |
| title_full | Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid |
| title_fullStr | Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid |
| title_full_unstemmed | Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid |
| title_short | Joint Inversion of 3D Gravity and Magnetic Data under Undulating Terrain Based on Combined Hexahedral Grid |
| title_sort | joint inversion of 3d gravity and magnetic data under undulating terrain based on combined hexahedral grid |
| topic | undulating terrain unstructured grid curved hexahedron 3D joint inversion cross-gradient constraint sensitivity-based weighting |
| url | https://www.mdpi.com/2072-4292/14/18/4651 |
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