An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix

An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix

Methane desorption in coal matrix is one of the fundamental gas transport processes during coalbed methane extraction, the mechanism of which is commonly described by Fickian diffusion theory. Here, an anomalous subdiffusion model with fractional derivatives is developed to explore the methane desor...

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Main Authors: Jianhong Kang, Fubao Zhou, Gaobang Ye, Yingke Liu
Format: Article
Language:English
Published: AIP Publishing LLC 2015-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4938518
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spelling doaj-d86ddd71daaa4878964c51bdb27aaf062020-11-25T00:21:07ZengAIP Publishing LLCAIP Advances2158-32262015-12-01512127119127119-810.1063/1.4938518036512ADVAn anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrixJianhong Kang0Fubao Zhou1Gaobang Ye2Yingke Liu3Key Laboratory of Gas and Fire Control for Coal Mines (Ministry of Education), School of Safety Engineering, China University of Mining and Technology, Xuzhou, 221116, ChinaState Key Laboratory of Coal Resources and Safe Mining, School of Safety Engineering, China University of Mining and Technology, Xuzhou, 221116, ChinaKey Laboratory of Gas and Fire Control for Coal Mines (Ministry of Education), School of Safety Engineering, China University of Mining and Technology, Xuzhou, 221116, ChinaKey Laboratory of Gas and Fire Control for Coal Mines (Ministry of Education), School of Safety Engineering, China University of Mining and Technology, Xuzhou, 221116, ChinaMethane desorption in coal matrix is one of the fundamental gas transport processes during coalbed methane extraction, the mechanism of which is commonly described by Fickian diffusion theory. Here, an anomalous subdiffusion model with fractional derivatives is developed to explore the methane desorption in coal matrix with a highly heterogeneous pore structure. Numerical simulations reproduce the volume fraction of gas desorbed over the entire timescale of experimental desorption. It is suggested that the diffusion of methane in heterogeneous coal matrix may obey the anomalous time and space subdiffusion, rather than Fickian second law. The physical reason is perhaps due to the basic topological complexity inherent to porous coal matrix and the strong adsorption effect of coal on methane molecules.http://dx.doi.org/10.1063/1.4938518
collection DOAJ
language English
format Article
sources DOAJ
author Jianhong Kang
Fubao Zhou
Gaobang Ye
Yingke Liu
spellingShingle Jianhong Kang
Fubao Zhou
Gaobang Ye
Yingke Liu
An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
AIP Advances
author_facet Jianhong Kang
Fubao Zhou
Gaobang Ye
Yingke Liu
author_sort Jianhong Kang
title An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
title_short An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
title_full An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
title_fullStr An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
title_full_unstemmed An anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
title_sort anomalous subdiffusion model with fractional derivatives for methane desorption in heterogeneous coal matrix
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2015-12-01
description Methane desorption in coal matrix is one of the fundamental gas transport processes during coalbed methane extraction, the mechanism of which is commonly described by Fickian diffusion theory. Here, an anomalous subdiffusion model with fractional derivatives is developed to explore the methane desorption in coal matrix with a highly heterogeneous pore structure. Numerical simulations reproduce the volume fraction of gas desorbed over the entire timescale of experimental desorption. It is suggested that the diffusion of methane in heterogeneous coal matrix may obey the anomalous time and space subdiffusion, rather than Fickian second law. The physical reason is perhaps due to the basic topological complexity inherent to porous coal matrix and the strong adsorption effect of coal on methane molecules.
url http://dx.doi.org/10.1063/1.4938518
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