Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system
Sorption is one of the key processes that plays a major role in the transport of contaminants in fractured porous media. Extensive studies have been conducted on sorption isotherms in fracture matrix coupled system but studies pertaining to sorption in fractured porous media with fracture–skin are v...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-07-01
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| Series: | Journal of King Saud University: Engineering Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018363914000300 |
| _version_ | 1819231162884685824 |
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| author | N. Natarajan G. Suresh Kumar |
| author_facet | N. Natarajan G. Suresh Kumar |
| author_sort | N. Natarajan |
| collection | DOAJ |
| description | Sorption is one of the key processes that plays a major role in the transport of contaminants in fractured porous media. Extensive studies have been conducted on sorption isotherms in fracture matrix coupled system but studies pertaining to sorption in fractured porous media with fracture–skin are very limited. In this study, a numerical model is developed for analysing the influence of sorption intensities on velocity, macro dispersion coefficient and dispersivity using the method of spatial moments. Implicit finite difference numerical technique has been used to solve the coupled non-linear governing equations. A varying grid is adopted at the fracture and skin interface to capture the mass transfer at the interface. Results suggest that the role of non-linear sorption is dominant in comparison with that of advection and dispersion in deciding the final relative concentration within the fracture. The role of sorption partition coefficients is not always enhancing the mixing phenomena which lead to dilution of solutes. Furthermore, the role of sorption partition coefficients is extremely sensitive in the sense that the resultant magnitude of effective dispersivity may either get enhanced or mitigated depending on the magnitude of sorption partition coefficients. |
| first_indexed | 2024-12-23T11:40:35Z |
| format | Article |
| id | doaj.art-e6f4a91b252141939f90d25100fb2d37 |
| institution | Directory Open Access Journal |
| issn | 1018-3639 |
| language | English |
| last_indexed | 2024-12-23T11:40:35Z |
| publishDate | 2016-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Engineering Sciences |
| spelling | doaj.art-e6f4a91b252141939f90d25100fb2d372022-12-21T17:48:31ZengElsevierJournal of King Saud University: Engineering Sciences1018-36392016-07-0128215716410.1016/j.jksues.2014.04.003Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled systemN. Natarajan0G. Suresh Kumar1Department of Civil Engineering, Indian Institute of Technology-Madras, Chennai 600036, IndiaDepartment of Ocean Engineering, Indian Institute of Technology-Madras, Chennai 600036, IndiaSorption is one of the key processes that plays a major role in the transport of contaminants in fractured porous media. Extensive studies have been conducted on sorption isotherms in fracture matrix coupled system but studies pertaining to sorption in fractured porous media with fracture–skin are very limited. In this study, a numerical model is developed for analysing the influence of sorption intensities on velocity, macro dispersion coefficient and dispersivity using the method of spatial moments. Implicit finite difference numerical technique has been used to solve the coupled non-linear governing equations. A varying grid is adopted at the fracture and skin interface to capture the mass transfer at the interface. Results suggest that the role of non-linear sorption is dominant in comparison with that of advection and dispersion in deciding the final relative concentration within the fracture. The role of sorption partition coefficients is not always enhancing the mixing phenomena which lead to dilution of solutes. Furthermore, the role of sorption partition coefficients is extremely sensitive in the sense that the resultant magnitude of effective dispersivity may either get enhanced or mitigated depending on the magnitude of sorption partition coefficients.http://www.sciencedirect.com/science/article/pii/S1018363914000300FractureLangmuir non-linear sorptionFracture–skinSpatial momentsEffective solute velocity and dispersion |
| spellingShingle | N. Natarajan G. Suresh Kumar Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system Journal of King Saud University: Engineering Sciences Fracture Langmuir non-linear sorption Fracture–skin Spatial moments Effective solute velocity and dispersion |
| title | Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system |
| title_full | Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system |
| title_fullStr | Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system |
| title_full_unstemmed | Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system |
| title_short | Spatial moment analysis of solute transport with Langmuir sorption in a fracture–skin–matrix coupled system |
| title_sort | spatial moment analysis of solute transport with langmuir sorption in a fracture skin matrix coupled system |
| topic | Fracture Langmuir non-linear sorption Fracture–skin Spatial moments Effective solute velocity and dispersion |
| url | http://www.sciencedirect.com/science/article/pii/S1018363914000300 |
| work_keys_str_mv | AT nnatarajan spatialmomentanalysisofsolutetransportwithlangmuirsorptioninafractureskinmatrixcoupledsystem AT gsureshkumar spatialmomentanalysisofsolutetransportwithlangmuirsorptioninafractureskinmatrixcoupledsystem |