The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores

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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Main Authors: Yusong Hou, Jianguo Jiang, J. Wu
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2018/8329406
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spelling doaj-7af0735b33c041e5a6c2cc8eb70e08382020-11-25T00:53:45ZengHindawi-WileyGeofluids1468-81151468-81232018-01-01201810.1155/2018/83294068329406The 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
collection DOAJ
language English
format Article
sources DOAJ
author Yusong Hou
Jianguo Jiang
J. Wu
spellingShingle Yusong Hou
Jianguo Jiang
J. Wu
The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores
Geofluids
author_facet Yusong Hou
Jianguo Jiang
J. Wu
author_sort Yusong Hou
title 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_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_sort form of waiting time distributions of continuous time random walk in dead-end pores
publisher Hindawi-Wiley
series Geofluids
issn 1468-8115
1468-8123
publishDate 2018-01-01
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.
url http://dx.doi.org/10.1155/2018/8329406
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