The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores
Anomalous dispersion of solute in porous media can be explained by the power-law distribution of waiting time of solute particles. In this paper, we simulate the diffusion of nonreactive tracer in dead-end pores to explore the waiting time distributions. The distributions of waiting time in differen...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2018/8329406 |
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| _version_ | 1832558808047550464 |
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| author | Yusong Hou Jianguo Jiang J. Wu |
| author_facet | Yusong Hou Jianguo Jiang J. Wu |
| author_sort | Yusong Hou |
| collection | DOAJ |
| description | Anomalous dispersion of solute in porous media can be explained by the power-law distribution of waiting time of solute particles. In this paper, we simulate the diffusion of nonreactive tracer in dead-end pores to explore the waiting time distributions. The distributions of waiting time in different dead-end pores show similar power-law decline at early time and transit to an exponential decline in the end. The transition time between these two decline modes increases with the lengths of dead-end pores. It is well known that power-law distributions of waiting time may lead to anomalous (non-Fickian) dispersion. Therefore, anomalous dispersion is highly dependent on the sizes of immobile zones. According to the power-law decline, we can directly get the power index from the structure of dead-end pores, which can be used to judge the anomalous degree of solute transport in advance. |
| format | Article |
| id | doaj-art-7af0735b33c041e5a6c2cc8eb70e0838 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-7af0735b33c041e5a6c2cc8eb70e08382025-02-03T01:31:35ZengWileyGeofluids1468-81151468-81232018-01-01201810.1155/2018/83294068329406The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End PoresYusong Hou0Jianguo Jiang1J. Wu2School of Earth Sciences and Engineering, Nanjing University, Nanjing, ChinaSchool of Earth Sciences and Engineering, Nanjing University, Nanjing, ChinaSchool of Earth Sciences and Engineering, Nanjing University, Nanjing, ChinaAnomalous dispersion of solute in porous media can be explained by the power-law distribution of waiting time of solute particles. In this paper, we simulate the diffusion of nonreactive tracer in dead-end pores to explore the waiting time distributions. The distributions of waiting time in different dead-end pores show similar power-law decline at early time and transit to an exponential decline in the end. The transition time between these two decline modes increases with the lengths of dead-end pores. It is well known that power-law distributions of waiting time may lead to anomalous (non-Fickian) dispersion. Therefore, anomalous dispersion is highly dependent on the sizes of immobile zones. According to the power-law decline, we can directly get the power index from the structure of dead-end pores, which can be used to judge the anomalous degree of solute transport in advance.http://dx.doi.org/10.1155/2018/8329406 |
| spellingShingle | Yusong Hou Jianguo Jiang J. Wu The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores Geofluids |
| title | The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores |
| title_full | The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores |
| title_fullStr | The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores |
| title_full_unstemmed | The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores |
| title_short | The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores |
| title_sort | form of waiting time distributions of continuous time random walk in dead end pores |
| url | http://dx.doi.org/10.1155/2018/8329406 |
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