Geosynthetic materials are widely adopted as part of barrier liners in landfills, while the existence of defects in geomembrane (GM) will significantly reduce the barrier efficiency and lead to unexpected pollution in the surrounding environment. In this study, a novel semi-analytical model was proposed to investigate the two-dimensional (2D) migration of organic contaminant through the GM with strip defects to the underlying soil liner (SL). This model has the superiority to consider the concentration condition in the defects, and describe more accurate concentration profiles in the SL. The combination of discretization method and integral transforms were applied to obtain semi-analytical solutions, which were then verified by numerical solutions. Results show that the existence of defects can substantially accelerate the migration process of contaminant through flawed GM to the underlying SL. Specifically, the time interval between migration curves in the model with defects can be 2 or 3 orders of magnitude shorter than that without defects under the same condition.

中文翻译：

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有机污染物通过带状缺陷土工膜向下层土壤衬层二维传输的半解析解

土工合成材料被广泛用作垃圾填埋场屏障衬垫的一部分，而土工膜（GM）的缺陷将显着降低屏障效率，并对周围环境造成意想不到的污染。在这项研究中，提出了一种新的半解析模型来研究有机污染物通过具有条带缺陷的 GM 到下层土壤衬里 (SL) 的二维 (2D) 迁移。该模型的优势在于考虑了缺陷中的浓度条件，并在 SL 中描述了更准确的浓度分布。应用离散化方法和积分变换相结合的方法得到半解析解，然后用数值解对其进行验证。结果表明，缺陷的存在可以大大加速污染物通过有缺陷的 GM 向底层 SL 的迁移过程。具体来说，在相同条件下，有缺陷模型的迁移曲线之间的时间间隔可以比无缺陷模型短2或3个数量级。