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<p>Structural imperfections in landfill liner systems, including geomembrane (GMB) defects and compacted clay liner (CCL) fractures, can significantly compromise the liner system’s performance. However, the existing contaminant transport model for composite liners accounts for CCL fractures, yet it does not consider GMB defects concurrently. In this study, a fractured composite liner model considering GMB defects was developed to describe the migration of organic contaminants. The analytical solution in the Laplace domain was obtained using the Laplace transform method, and the time-domain analytical solution was derived through analytical inverse transform. The correctness of the analytical solution presented in this study was verified by comparison with experimental data and existing analytical, semi-analytical, and numerical solutions. The effects of GMB defects, CCL fracture, clay matrix, adsorption, and organic contaminant degradation were systematically analyzed. The results indicate that an increase in GMB defect frequency significantly accelerates the migration of contaminants. As the defect frequency increases from 2.5 to 10 defects/ha, the breakthrough time decreases from 40 to 21&#xa0;years. Under high defect frequency, even narrow fractures exhibit a high breakthrough risk. As the tortuosity of the clay matrix increases, lateral diffusion within the matrix is enhanced, and the concentration at the fracture bottom decreases. A shorter contaminant half-life reduces the migration rate, with the maximum relative concentration decreasing by approximately 87% as the contaminant half-life decreases from 50 to 10&#xa0;years. The proposed model provides theoretical support for service life evaluation and optimization design of composite liner systems with structural imperfections.</p>

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Analytical model for organic contaminant migration in fractured composite liner considering the GMB defects

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • Jun Liu,
  • Chen-Xu Liu,
  • Zhang-Long Chen,
  • Chuang Yu,
  • Shun Wang,
  • Wei Wu

摘要

Structural imperfections in landfill liner systems, including geomembrane (GMB) defects and compacted clay liner (CCL) fractures, can significantly compromise the liner system’s performance. However, the existing contaminant transport model for composite liners accounts for CCL fractures, yet it does not consider GMB defects concurrently. In this study, a fractured composite liner model considering GMB defects was developed to describe the migration of organic contaminants. The analytical solution in the Laplace domain was obtained using the Laplace transform method, and the time-domain analytical solution was derived through analytical inverse transform. The correctness of the analytical solution presented in this study was verified by comparison with experimental data and existing analytical, semi-analytical, and numerical solutions. The effects of GMB defects, CCL fracture, clay matrix, adsorption, and organic contaminant degradation were systematically analyzed. The results indicate that an increase in GMB defect frequency significantly accelerates the migration of contaminants. As the defect frequency increases from 2.5 to 10 defects/ha, the breakthrough time decreases from 40 to 21 years. Under high defect frequency, even narrow fractures exhibit a high breakthrough risk. As the tortuosity of the clay matrix increases, lateral diffusion within the matrix is enhanced, and the concentration at the fracture bottom decreases. A shorter contaminant half-life reduces the migration rate, with the maximum relative concentration decreasing by approximately 87% as the contaminant half-life decreases from 50 to 10 years. The proposed model provides theoretical support for service life evaluation and optimization design of composite liner systems with structural imperfections.