An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data
The <i>l</i><sub>2</sub>-norm minimization is a common means for the 3D inversion of gravity data. The unconstrained <i>l</i><sub>2</sub>-norm inversion will produce a smooth solution, which contains redundant structures and artifacts. Positivity-const...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/15/14/3465 |
| _version_ | 1827731875556229120 |
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| author | Zelin Li Changli Yao |
| author_facet | Zelin Li Changli Yao |
| author_sort | Zelin Li |
| collection | DOAJ |
| description | The <i>l</i><sub>2</sub>-norm minimization is a common means for the 3D inversion of gravity data. The unconstrained <i>l</i><sub>2</sub>-norm inversion will produce a smooth solution, which contains redundant structures and artifacts. Positivity-constrained <i>l</i><sub>2</sub>-norm inversion can eliminate redundant structures and artifacts, resulting in a more reliable solution. However, the positivity constraint restricts the applications of gravity inversion to some extent because the measured gravity data are likely to be caused by both positive and negative sources. To address this issue, we propose a strategy that combines the <i>l<sub>p</sub></i>-norm regularization and fine adjustment of the depth weighting function to refine the unconstrained gravity inversion results. Synthetic tests show that the proposed strategy yields an improved smooth solution compared with the unconstrained <i>l</i><sub>2</sub>-norm inversion method. The proposed strategy is also applied to the inversion of gravity data collected over a Layikeleke iron–copper skarn deposit, Xinjiang, China. |
| first_indexed | 2024-03-11T00:41:53Z |
| format | Article |
| id | doaj.art-459dd6a43904439eb1b06bda439b1d05 |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-11T00:41:53Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-459dd6a43904439eb1b06bda439b1d052023-11-18T21:11:10ZengMDPI AGRemote Sensing2072-42922023-07-011514346510.3390/rs15143465An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity DataZelin Li0Changli Yao1Key Laboratory for Resource Exploration Research of Hebei Province, School of Earth Science and Engineering, Hebei University of Engineering, Handan 056038, ChinaSchool of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, ChinaThe <i>l</i><sub>2</sub>-norm minimization is a common means for the 3D inversion of gravity data. The unconstrained <i>l</i><sub>2</sub>-norm inversion will produce a smooth solution, which contains redundant structures and artifacts. Positivity-constrained <i>l</i><sub>2</sub>-norm inversion can eliminate redundant structures and artifacts, resulting in a more reliable solution. However, the positivity constraint restricts the applications of gravity inversion to some extent because the measured gravity data are likely to be caused by both positive and negative sources. To address this issue, we propose a strategy that combines the <i>l<sub>p</sub></i>-norm regularization and fine adjustment of the depth weighting function to refine the unconstrained gravity inversion results. Synthetic tests show that the proposed strategy yields an improved smooth solution compared with the unconstrained <i>l</i><sub>2</sub>-norm inversion method. The proposed strategy is also applied to the inversion of gravity data collected over a Layikeleke iron–copper skarn deposit, Xinjiang, China.https://www.mdpi.com/2072-4292/15/14/34653D inversiongravity data<i>l<sub>p</sub></i>-normsmoothartifact |
| spellingShingle | Zelin Li Changli Yao An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data Remote Sensing 3D inversion gravity data <i>l<sub>p</sub></i>-norm smooth artifact |
| title | An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data |
| title_full | An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data |
| title_fullStr | An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data |
| title_full_unstemmed | An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data |
| title_short | An Investigation of <i>l<sub>p</sub></i>-Norm Minimization for the Artifact-Free Inversion of Gravity Data |
| title_sort | investigation of i l sub p sub i norm minimization for the artifact free inversion of gravity data |
| topic | 3D inversion gravity data <i>l<sub>p</sub></i>-norm smooth artifact |
| url | https://www.mdpi.com/2072-4292/15/14/3465 |
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