Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm
In this work, a new Time Domain Random Walk (TDRW) algorithm is proposed to estimate the tracer distribution profile within the rock matrix. The development of the new algorithm stems from the statistical properties of the analytical solution to a single fracture-matrix system, in which the particle...
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Elsevier
2025-01-01
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| Series: | Nuclear Engineering and Technology |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573324003851 |
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| author | Qing Zhao Shuo Meng Longcheng Liu |
| author_facet | Qing Zhao Shuo Meng Longcheng Liu |
| author_sort | Qing Zhao |
| collection | DOAJ |
| description | In this work, a new Time Domain Random Walk (TDRW) algorithm is proposed to estimate the tracer distribution profile within the rock matrix. The development of the new algorithm stems from the statistical properties of the analytical solution to a single fracture-matrix system, in which the particle position at a certain time is calculated and recorded. With the position of each particle determined, the resulting distribution will then provide an estimate of the tracer distribution profile directly. In addition, the newly developed algorithm can readily be extended to a case of more complicated fracture-matrix system, in which an arbitrary injection boundary condition may also be used. To verify the accuracy and applicability of the new algorithm, three benchmark simulations are made, in which the results of different approaches are found to be identical. Nevertheless, the new algorithm has a higher computational efficiency, due to its lower calculation demand. |
| format | Article |
| id | doaj-art-9b3ef33995194a8488b28ea630d961a5 |
| institution | Kabale University |
| issn | 1738-5733 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj-art-9b3ef33995194a8488b28ea630d961a52025-01-12T05:24:36ZengElsevierNuclear Engineering and Technology1738-57332025-01-01571103138Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithmQing Zhao0Shuo Meng1Longcheng Liu2School of Nuclear Science and Technology, University of South China, 421001, Hengyang, ChinaSchool of Nuclear Science and Technology, University of South China, 421001, Hengyang, China; R&D and Modelling Center for Treatment and Disposal of Radioactive Waste, University of South China, 421001, Hengyang, China; Corresponding author. School of Nuclear Science and Technology, University of South China, 421001, Hengyang, China.School of Nuclear Science and Technology, University of South China, 421001, Hengyang, China; R&D and Modelling Center for Treatment and Disposal of Radioactive Waste, University of South China, 421001, Hengyang, China; Beijing Research Institute of Chemical Engineering and Metallurgy, 101149, Beijing, China; Department of Chemical Engineering, KTH Royal Institute of Technology, S-100 44, Stockholm, SwedenIn this work, a new Time Domain Random Walk (TDRW) algorithm is proposed to estimate the tracer distribution profile within the rock matrix. The development of the new algorithm stems from the statistical properties of the analytical solution to a single fracture-matrix system, in which the particle position at a certain time is calculated and recorded. With the position of each particle determined, the resulting distribution will then provide an estimate of the tracer distribution profile directly. In addition, the newly developed algorithm can readily be extended to a case of more complicated fracture-matrix system, in which an arbitrary injection boundary condition may also be used. To verify the accuracy and applicability of the new algorithm, three benchmark simulations are made, in which the results of different approaches are found to be identical. Nevertheless, the new algorithm has a higher computational efficiency, due to its lower calculation demand.http://www.sciencedirect.com/science/article/pii/S1738573324003851Single fracture-matrix systemTime domain random walk (TDRW) algorithmTracer distribution profileBoundary conditionCumulative distribution functionStatistical interpretation |
| spellingShingle | Qing Zhao Shuo Meng Longcheng Liu Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm Nuclear Engineering and Technology Single fracture-matrix system Time domain random walk (TDRW) algorithm Tracer distribution profile Boundary condition Cumulative distribution function Statistical interpretation |
| title | Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| title_full | Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| title_fullStr | Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| title_full_unstemmed | Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| title_short | Tracer transport in fractured porous media: Distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| title_sort | tracer transport in fractured porous media distribution of tracer concentration within the rock matrix and the implementation of time domain random walk algorithm |
| topic | Single fracture-matrix system Time domain random walk (TDRW) algorithm Tracer distribution profile Boundary condition Cumulative distribution function Statistical interpretation |
| url | http://www.sciencedirect.com/science/article/pii/S1738573324003851 |
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