Spherical Planting Inversion of GRAIL Data
In large-scale potential field data inversion, constructing the kernel matrix is a time-consuming problem with large memory requirements. Therefore, a spherical planting inversion of Gravity Recovery and Interior Laboratory (GRAIL) data is proposed using the L1-norm in conjunction with tesseroids. S...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/5/3332 |
| _version_ | 1797615657665167360 |
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| author | Guangyin Lu Dongxing Zhang Shujin Cao Yihuai Deng Gang Xu Yihu Liu Ziqiang Zhu Peng Chen |
| author_facet | Guangyin Lu Dongxing Zhang Shujin Cao Yihuai Deng Gang Xu Yihu Liu Ziqiang Zhu Peng Chen |
| author_sort | Guangyin Lu |
| collection | DOAJ |
| description | In large-scale potential field data inversion, constructing the kernel matrix is a time-consuming problem with large memory requirements. Therefore, a spherical planting inversion of Gravity Recovery and Interior Laboratory (GRAIL) data is proposed using the L1-norm in conjunction with tesseroids. Spherical planting inversion, however, is strongly dependent on the correct seeds’ density contrast, location, and number; otherwise, it can cause mutual intrusion of anomalous sources produced by different seeds. Hence, a weighting function was introduced to limit the influence area of the seeds for yielding robust solutions; moreover, it is challenging to set customized parameters for each seed, especially for the large number of seeds used or complex gravity anomalies data. Hence, we employed the “shape-of-anomaly” data-misfit function in conjunction with a new seed weighting function to improve the spherical planting inversion. The proposed seed weighting function is constructed based on the covariance matrix for given gravity data and can avoid manually setting customized parameters for each seed. The results of synthetic tests and field data show that spherical planting inversion requires less computer memory than traditional inversion. Furthermore, the proposed seed weighting function can effectively limit the seed influence area. The result of spherical planting inversion indicates that the crustal thickness of Mare Crisium is about 0 km because the Crisium impact may have removed all crust from parts of the basin. |
| first_indexed | 2024-03-11T07:29:48Z |
| format | Article |
| id | doaj.art-76c91239a63c4c539a7c65ee59b2760e |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T07:29:48Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-76c91239a63c4c539a7c65ee59b2760e2023-11-17T07:22:25ZengMDPI AGApplied Sciences2076-34172023-03-01135333210.3390/app13053332Spherical Planting Inversion of GRAIL DataGuangyin Lu0Dongxing Zhang1Shujin Cao2Yihuai Deng3Gang Xu4Yihu Liu5Ziqiang Zhu6Peng Chen7School of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Earth Sciences and Spatial Information Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaSchool of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Geosciences and Info-Physics, Central South University, Changsha 410083, ChinaSchool of Earth Sciences and Spatial Information Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaIn large-scale potential field data inversion, constructing the kernel matrix is a time-consuming problem with large memory requirements. Therefore, a spherical planting inversion of Gravity Recovery and Interior Laboratory (GRAIL) data is proposed using the L1-norm in conjunction with tesseroids. Spherical planting inversion, however, is strongly dependent on the correct seeds’ density contrast, location, and number; otherwise, it can cause mutual intrusion of anomalous sources produced by different seeds. Hence, a weighting function was introduced to limit the influence area of the seeds for yielding robust solutions; moreover, it is challenging to set customized parameters for each seed, especially for the large number of seeds used or complex gravity anomalies data. Hence, we employed the “shape-of-anomaly” data-misfit function in conjunction with a new seed weighting function to improve the spherical planting inversion. The proposed seed weighting function is constructed based on the covariance matrix for given gravity data and can avoid manually setting customized parameters for each seed. The results of synthetic tests and field data show that spherical planting inversion requires less computer memory than traditional inversion. Furthermore, the proposed seed weighting function can effectively limit the seed influence area. The result of spherical planting inversion indicates that the crustal thickness of Mare Crisium is about 0 km because the Crisium impact may have removed all crust from parts of the basin.https://www.mdpi.com/2076-3417/13/5/3332spherical planting inversiontesseroidsGRAIL dataMare Crisiumseed weighting function |
| spellingShingle | Guangyin Lu Dongxing Zhang Shujin Cao Yihuai Deng Gang Xu Yihu Liu Ziqiang Zhu Peng Chen Spherical Planting Inversion of GRAIL Data Applied Sciences spherical planting inversion tesseroids GRAIL data Mare Crisium seed weighting function |
| title | Spherical Planting Inversion of GRAIL Data |
| title_full | Spherical Planting Inversion of GRAIL Data |
| title_fullStr | Spherical Planting Inversion of GRAIL Data |
| title_full_unstemmed | Spherical Planting Inversion of GRAIL Data |
| title_short | Spherical Planting Inversion of GRAIL Data |
| title_sort | spherical planting inversion of grail data |
| topic | spherical planting inversion tesseroids GRAIL data Mare Crisium seed weighting function |
| url | https://www.mdpi.com/2076-3417/13/5/3332 |
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