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

Jianhong Kang; Fubao Zhou; Gaobang Ye; Yingke Liu

doi:10.1063/1.4938518

journal article·2015-12-01Open access

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

Jianhong Kang, Fubao Zhou, Gaobang Ye, Yingke Liu

AIP Advances· Volume 5· Issue 12

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Source abstract

Abstract

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.

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Research context

OpenAlex topics: Coal Properties and Utilization · Hydrocarbon exploration and reservoir analysis · NMR spectroscopy and applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

China University of Mining and Technology 1 Key Laboratory of Gas and Fire Control for Coal Mines (Ministry of Education), School of Safety Engineering, , Xuzhou, 221116, China

China University of Mining and Technology 2 State Key Laboratory of Coal Resources and Safe Mining, School of Safety Engineering, , Xuzhou, 221116, China

Funding

A Program Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions · Fundamental Research Funds for the Central Universities · Team Project Funded by Jiangsu Innovation and Entrepreneurship Program · National Natural Science Foundation of China · China Postdoctoral Science Foundation

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