Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form
This work delves into the realm of inverse problems in the context of aquatic pollution. Specifically, it presents a novel analytical approach for pinpointing the origins of leaks in underwater pipelines, circumventing the need for data regularization and auxiliary partial differential equation solv...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Pouyan Press
2023-01-01
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| Series: | Computational Engineering and Physical Modeling |
| Subjects: | |
| Online Access: | https://www.jcepm.com/article_183802_d41d8cd98f00b204e9800998ecf8427e.pdf |
| _version_ | 1797263299160571904 |
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| author | Vinicius Ribeiro Jorge Zabadal Ederson Staudt Josenilson Marinho André Silveira Sidnei Silveira |
| author_facet | Vinicius Ribeiro Jorge Zabadal Ederson Staudt Josenilson Marinho André Silveira Sidnei Silveira |
| author_sort | Vinicius Ribeiro |
| collection | DOAJ |
| description | This work delves into the realm of inverse problems in the context of aquatic pollution. Specifically, it presents a novel analytical approach for pinpointing the origins of leaks in underwater pipelines, circumventing the need for data regularization and auxiliary partial differential equation solving. This method streamlines the process, significantly reducing processing time compared to traditional numerical approaches. The approach involves identifying local concentration maxima in a known distribution, tracing streamlines connecting them, and utilizing parametric equations to describe these streamlines. Points of intersection between these parametric curves and the submerged pipe network define potential leak origins. Validation of these origins is achieved through simulations, using the same concentration distribution to compute the source term. This method not only minimizes computational time but also remains effective in scenarios with uncertain experimental data. The results demonstrate that this approach outperforms traditional techniques in terms of processing time, making it particularly advantageous in decision-making processes related to leak containment and environmental recovery in underwater environments. This analytical method offers a valuable tool for efficient and accurate leak source localization, enhancing environmental protection efforts. |
| first_indexed | 2024-04-25T00:10:48Z |
| format | Article |
| id | doaj.art-fc8fec2b921d467ba94183343e214812 |
| institution | Directory Open Access Journal |
| issn | 2588-6959 |
| language | English |
| last_indexed | 2024-04-25T00:10:48Z |
| publishDate | 2023-01-01 |
| publisher | Pouyan Press |
| record_format | Article |
| series | Computational Engineering and Physical Modeling |
| spelling | doaj.art-fc8fec2b921d467ba94183343e2148122024-03-13T14:09:06ZengPouyan PressComputational Engineering and Physical Modeling2588-69592023-01-0161364310.22115/cepm.2023.417005.1247183802Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed FormVinicius Ribeiro0Jorge Zabadal1Ederson Staudt2Josenilson Marinho3André Silveira4Sidnei Silveira5Professor, Interdisciplinary Depto, Universidade Federal do Rio Grande do Sul - UFRGS, BrazilProfessor, Interdisciplinary Depto, Universidade Federal do Rio Grande do Sul - UFRGS, BrazilProfessor, Universidade Federal da Fronteira Sul - UFFS, BrazilProfessor, Universidade Federal Rural do Amazonas - UFRA, BrazilProfessor, Pontifícia Universidade Católica do Rio Grande do Sul – PUCRS, BrazilProfessor, Universidade Federal de Santa Maria – UFSM/CESNORS, BrazilThis work delves into the realm of inverse problems in the context of aquatic pollution. Specifically, it presents a novel analytical approach for pinpointing the origins of leaks in underwater pipelines, circumventing the need for data regularization and auxiliary partial differential equation solving. This method streamlines the process, significantly reducing processing time compared to traditional numerical approaches. The approach involves identifying local concentration maxima in a known distribution, tracing streamlines connecting them, and utilizing parametric equations to describe these streamlines. Points of intersection between these parametric curves and the submerged pipe network define potential leak origins. Validation of these origins is achieved through simulations, using the same concentration distribution to compute the source term. This method not only minimizes computational time but also remains effective in scenarios with uncertain experimental data. The results demonstrate that this approach outperforms traditional techniques in terms of processing time, making it particularly advantageous in decision-making processes related to leak containment and environmental recovery in underwater environments. This analytical method offers a valuable tool for efficient and accurate leak source localization, enhancing environmental protection efforts.https://www.jcepm.com/article_183802_d41d8cd98f00b204e9800998ecf8427e.pdfdifferential equationsinverse problemsanalytical methodslow processing timeaquatic pollution |
| spellingShingle | Vinicius Ribeiro Jorge Zabadal Ederson Staudt Josenilson Marinho André Silveira Sidnei Silveira Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form Computational Engineering and Physical Modeling differential equations inverse problems analytical methods low processing time aquatic pollution |
| title | Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form |
| title_full | Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form |
| title_fullStr | Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form |
| title_full_unstemmed | Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form |
| title_short | Analytical Simulations for Spill Point Source Localization Using Inverse Problems in Closed Form |
| title_sort | analytical simulations for spill point source localization using inverse problems in closed form |
| topic | differential equations inverse problems analytical methods low processing time aquatic pollution |
| url | https://www.jcepm.com/article_183802_d41d8cd98f00b204e9800998ecf8427e.pdf |
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