Fractional Advection Diffusion Models for Radionuclide Migration in Multiple Barriers System of Deep Geological Repository

Shuai Yang, Qing Wei and Lu An
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Shuai Yang: School of Energy Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Qing Wei: School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083, China
Lu An: Laboratory 3SR, CNRS UMR 5521, Grenoble Alpes University, 38000 Grenoble, France

Mathematics, 2022, vol. 10, issue 14, 1-7

Abstract: Based on the multiple barriers concept of deep geological disposal of high-level waste, fractional advection diffusion equations for radionuclide migration in multiple layers low-permeability porous media are proposed in this work. The presented fractional advection diffusion models in terms of different definitions of fractional derivative are analytically addressed via the Laplace integral transform method. This work provides a theoretical foundation for further simulations of radionuclide migration in the multiple barriers system of the high-level waste repository.

Keywords: radionuclide migration; multiple layers; fractional derivative; advection diffusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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