期刊
CHAOS SOLITONS & FRACTALS
卷 146, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.110863
关键词
Atangana-Baleanu derivative; Caputo-Fabrizio derivative; Anomalous diffusion; Radionuclide transport
资金
- State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing [SKL-GDUEK2027]
- National Natural Science Foundation of China [11671181, 51674266]
- State Key Research Development Program of China [2016YFC0600704]
This study proposes new fractional diffusion models to describe radionuclide anomalous transport in geological repository systems, and determines model parameters through fitting analysis of experimental data, showing that the proposed models are more effective in characterizing radionuclide migration. The comparison of the proposed ABFD and CFFD models is also discussed, highlighting the flexibility and accuracy of the fractional diffusion models in this study.
Using the new derivatives of fractional order, alluded to the Atangana-Baleanu (AB) derivative and Caputo-Fabrizio (CF) derivative, three fractional diffusion models are proposed to describe radionuclide anomalous transport in geological repository systems. The analytical solutions of the Atangana-Baleanu fractional diffusion (ABFD) models and Caputo-Fabrizio fractional diffusion (CFFD) model in the context of instantaneous and constant concentration source are presented. The mean square displacements (MSDs) for the ABFD and CFFD models in terms of instantaneous source are investigated. Based on the fitting analysis of experimental data of radionuclide diffusion, parameters related to the ABFD and CFFD models are determined. The good agreement between the theoretical and experimental results indicates that the proposed fractional diffusion models are more effective and flexible to characterize the radionuclide anomalous migration. Furthermore, the comparison of the proposed ABFD and CFFD models is also discussed. (c) 2021 Elsevier Ltd. All rights reserved.
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