Transport in lattice fracture networks : concentration mean and variance
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2010.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2011
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| Online Access: | http://hdl.handle.net/1721.1/60805 |
| _version_ | 1826196400006758400 |
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| author | Kang, Peter Kyungchul |
| author2 | Ruben Juanes. |
| author_facet | Ruben Juanes. Kang, Peter Kyungchul |
| author_sort | Kang, Peter Kyungchul |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2010. |
| first_indexed | 2024-09-23T10:26:14Z |
| format | Thesis |
| id | mit-1721.1/60805 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:26:14Z |
| publishDate | 2011 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/608052019-04-12T11:48:47Z Transport in lattice fracture networks : concentration mean and variance Kang, Peter Kyungchul Ruben Juanes. Massachusetts Institute of Technology. Dept. of Civil and Environmental Engineering. Massachusetts Institute of Technology. Dept. of Civil and Environmental Engineering. Civil and Environmental Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2010. Cataloged from PDF version of thesis. Includes bibliographical references (p. 53-55). We study transport in fractured systems using a stochastic particle tracking approach. We represent a fractured system as a two-dimensional lattice network system where the transport velocity in each fracture is a random variable. Our goal is to develop an exact effective macroscopic model for the concentration mean and variance from the microscopic disorder model. Within a Lagrangian transport framework, we derive effective equations for particle transport by coarse graining and ensemble averaging of the local scale Langevin equations. The results show that the mean transport can be captured exactly by an uncoupled continuous time random walk (CTRW) and the variance of the concentration by a novel two-particle CTRW formulation. Information about variance of concentration between realizations is important for understanding predictability. Therefore, ensemble mean together with variance provide critical information for understanding and predicting transport through the lattice network. by Peter Kyungchul Kang. S.M. 2011-01-26T14:27:31Z 2011-01-26T14:27:31Z 2010 2010 Thesis http://hdl.handle.net/1721.1/60805 696007949 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 55 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Civil and Environmental Engineering. Kang, Peter Kyungchul Transport in lattice fracture networks : concentration mean and variance |
| title | Transport in lattice fracture networks : concentration mean and variance |
| title_full | Transport in lattice fracture networks : concentration mean and variance |
| title_fullStr | Transport in lattice fracture networks : concentration mean and variance |
| title_full_unstemmed | Transport in lattice fracture networks : concentration mean and variance |
| title_short | Transport in lattice fracture networks : concentration mean and variance |
| title_sort | transport in lattice fracture networks concentration mean and variance |
| topic | Civil and Environmental Engineering. |
| url | http://hdl.handle.net/1721.1/60805 |
| work_keys_str_mv | AT kangpeterkyungchul transportinlatticefracturenetworksconcentrationmeanandvariance |