Impulse noise treatment in magnetotelluric inversion
The problem of model recovering in the presence of impulse noise on the data is considered for the magnetotelluric (MT) inverse problem. The application of total variation regularization along with L1-norm penalized data fitting (TVL1) is the usual approach for the impulse noise treatment in image r...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-02-01
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| Series: | Open Geosciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/geo-2020-0225 |
| _version_ | 1828142128781328384 |
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| author | Hidalgo-Silva Hugo Gómez-Treviño Enrique |
| author_facet | Hidalgo-Silva Hugo Gómez-Treviño Enrique |
| author_sort | Hidalgo-Silva Hugo |
| collection | DOAJ |
| description | The problem of model recovering in the presence of impulse noise on the data is considered for the magnetotelluric (MT) inverse problem. The application of total variation regularization along with L1-norm penalized data fitting (TVL1) is the usual approach for the impulse noise treatment in image recovery. This combination works poorly when a high level of impulse noise is present on the data. A nonconvex operator named smoothly clipped absolute deviation (TVSCAD) was recently applied to the image recovery problem. This operator is solved using a sequence of TVL1 equivalent problems, providing a significant improvement over TVL1. In practice, TVSCAD requires the selection of several parameters, a task that can be very difficult to attain. A more simple approach to the presence of impulse noise in data is presented here. A nonconvex function is also considered in the data fitness operator, along with the total variation regularization operator. The nonconvex operator is solved by following a half-quadratic procedure of minimization. Results are presented for synthetic and also for field data, assessing the proposed algorithm’s capacity in model recovering under the influence of impulse noise on data for the MT problem. |
| first_indexed | 2024-04-11T19:36:46Z |
| format | Article |
| id | doaj.art-e22fc688d8d24c31b16f1c69efedd9b0 |
| institution | Directory Open Access Journal |
| issn | 2391-5447 |
| language | English |
| last_indexed | 2024-04-11T19:36:46Z |
| publishDate | 2021-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Geosciences |
| spelling | doaj.art-e22fc688d8d24c31b16f1c69efedd9b02022-12-22T04:06:51ZengDe GruyterOpen Geosciences2391-54472021-02-0113113013710.1515/geo-2020-0225Impulse noise treatment in magnetotelluric inversionHidalgo-Silva Hugo0Gómez-Treviño Enrique1CICESE, Department of Ciencias de la Computación, CICESE, Carr. Ensenada-Tijuana 3918, Ensenada, Baja California, 22880, MéxicoCICESE, Department of Geofisica Aplicada, Ensenada, Baja California, MéxicoThe problem of model recovering in the presence of impulse noise on the data is considered for the magnetotelluric (MT) inverse problem. The application of total variation regularization along with L1-norm penalized data fitting (TVL1) is the usual approach for the impulse noise treatment in image recovery. This combination works poorly when a high level of impulse noise is present on the data. A nonconvex operator named smoothly clipped absolute deviation (TVSCAD) was recently applied to the image recovery problem. This operator is solved using a sequence of TVL1 equivalent problems, providing a significant improvement over TVL1. In practice, TVSCAD requires the selection of several parameters, a task that can be very difficult to attain. A more simple approach to the presence of impulse noise in data is presented here. A nonconvex function is also considered in the data fitness operator, along with the total variation regularization operator. The nonconvex operator is solved by following a half-quadratic procedure of minimization. Results are presented for synthetic and also for field data, assessing the proposed algorithm’s capacity in model recovering under the influence of impulse noise on data for the MT problem.https://doi.org/10.1515/geo-2020-0225impulse noisemagnetotelluric datageosounding |
| spellingShingle | Hidalgo-Silva Hugo Gómez-Treviño Enrique Impulse noise treatment in magnetotelluric inversion Open Geosciences impulse noise magnetotelluric data geosounding |
| title | Impulse noise treatment in magnetotelluric inversion |
| title_full | Impulse noise treatment in magnetotelluric inversion |
| title_fullStr | Impulse noise treatment in magnetotelluric inversion |
| title_full_unstemmed | Impulse noise treatment in magnetotelluric inversion |
| title_short | Impulse noise treatment in magnetotelluric inversion |
| title_sort | impulse noise treatment in magnetotelluric inversion |
| topic | impulse noise magnetotelluric data geosounding |
| url | https://doi.org/10.1515/geo-2020-0225 |
| work_keys_str_mv | AT hidalgosilvahugo impulsenoisetreatmentinmagnetotelluricinversion AT gomeztrevinoenrique impulsenoisetreatmentinmagnetotelluricinversion |