The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores. (8th January 2018)

• Record Type: Journal Article
• Authors: Hou, Yusong; Jiang, Jianguo; Wu, J.
• Other Names: Lu Dan Academic Editor.
• Is Part Of: Geofluids. Volume 2018(2018)
• Publication Date: 2018-01-08
• Subjects: Hydrogeology -- Periodicals; Sedimentary basins -- Periodicals; Fluids -- Migration -- Periodicals; Groundwater flow -- Periodicals; Geothermal resources -- Periodicals; Fluid dynamics -- Periodicals; Earth -- Crust -- Periodicals; 551.49
• DOI: 10.1155/2018/8329406
• Languages: English
• ISSNs: 1468-8115

Abstract

Abstract : 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.