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<p>Within the framework of the conformable fractional-order derivative, conformable advection-dispersion models (CADMs) with Robin-type boundary conditions and different source terms are proposed to describe radioactive waste migration. Analytical solutions are derived using the conformable Laplace transform. The influence of the fractional derivative order <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> </InlineEquation> on the concentration distribution and boundary concentration is illustrated graphically. Spatial moment analysis is conducted to evaluate the effectiveness of the proposed models for parameter estimation. Comparison with experimental data shows excellent agreement, indicating that the CADM with Robin-type boundary conditions characterizes radioactive waste migration more accurately. Furthermore, the generalized CADM exhibits greater flexibility and improved application potential compared with its corresponding integer-order model.</p>

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Conformable advection-dispersion models for radioactive waste migration: Robin-type condition and moment analysis

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月8日

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  • Qing Wei,
  • Shuai Yang,
  • Senlin Xie

摘要

Within the framework of the conformable fractional-order derivative, conformable advection-dispersion models (CADMs) with Robin-type boundary conditions and different source terms are proposed to describe radioactive waste migration. Analytical solutions are derived using the conformable Laplace transform. The influence of the fractional derivative order \(\alpha\) on the concentration distribution and boundary concentration is illustrated graphically. Spatial moment analysis is conducted to evaluate the effectiveness of the proposed models for parameter estimation. Comparison with experimental data shows excellent agreement, indicating that the CADM with Robin-type boundary conditions characterizes radioactive waste migration more accurately. Furthermore, the generalized CADM exhibits greater flexibility and improved application potential compared with its corresponding integer-order model.