污染物通过破损土工膜在下伏非饱和土层中的运移解析解

邹棋; 晁春峰; 孙新坡

doi:10.12052/gdutxb.250077

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污染物通过破损土工膜在下伏非饱和土层中的运移解析解

环境科学与工程 | 更新时间：2026-05-27

- 污染物通过破损土工膜在下伏非饱和土层中的运移解析解
- Analytical Solution for Contaminant Transport Through a Damaged Geomembrane into the Underlying Unsaturated Soil Layer
- 广东工业大学学报 2025年42卷第5期页码：39-48
- 作者机构：
  
  四川轻化工大学土木工程学院,四川,自贡,643002
- 作者简介：
  
  邹棋(1999–) ，男，硕士研究生，主要研究方向为材料工程，E-mail：323085607111@stu.suse.edu.cn
  晁春峰(1985–)，男，高级工程师，博士，主要研究方向为智慧工地数字化技术，E-mail：ccfzju@163.com
- 基金信息：
  
  国家自然科学基金资助面上项目(41472325);四川省科技计划项目重点研发项目(2020YJ0360);四川省教育教学改革项目(JG2021-1070)
- DOI：10.12052/gdutxb.250077
  中图分类号： X505
- 纸质出版：2025
- 稿件说明：
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邹棋, 晁春峰, 孙新坡. 污染物通过破损土工膜在下伏非饱和土层中的运移解析解[J]. 广东工业大学学报, 2025, 42(5): 39–48.

Zou Qi, Chao Chunfeng, Sun Xinpo. Analytical Solution for Contaminant Transport Through a Damaged Geomembrane into the Underlying Unsaturated Soil Layer[J]. 2025, 42(5): 39-48.
邹棋, 晁春峰, 孙新坡. 污染物通过破损土工膜在下伏非饱和土层中的运移解析解[J]. 广东工业大学学报, 2025, 42(5): 39–48. DOI： 10.12052/gdutxb.250077

Zou Qi, Chao Chunfeng, Sun Xinpo. Analytical Solution for Contaminant Transport Through a Damaged Geomembrane into the Underlying Unsaturated Soil Layer[J]. 2025, 42(5): 39-48. DOI： 10.12052/gdutxb.250077.

摘要

本文建立了一种一维分析模型，以模拟有机污染物通过破损土工膜进入下伏非饱和土层中的运移情况。该模型不仅考虑了土工膜的破损情况，还引入了土体的非饱和特性，从而更准确地描述污染物在非饱和土层中的运移机制。通过边界转换、位移定理、拉普拉斯变换及其逆变换公式，推导出污染物浓度随时间和深度变化的解析解。同时，将非饱和土层退化为饱和土层，并采用典型算例计算污染物浓度分布，所得结果与现有研究数据进行对比，验证结果高度吻合。随后，系统分析了3种因素(即土工膜的褶皱率和破损孔洞数以及土体的非饱和指数)对非饱和土层归一化污染物浓度随时间和深度变化的影响规律。研究结果表明：在给定的非饱和土层深度下，土工膜的褶皱率和破损孔洞数与非饱和土层中污染物运移速率呈正相关，而土体的非饱和指数则与其呈负相关。在给定的时间下，非饱和土层中归一化污染物浓度为零的临界深度，会随土工膜的褶皱率和破损孔洞数的增加而加深，随土体的非饱和指数增加而变浅。土工膜的破损对污染物运移的影响远大于土体的非饱和特性。该研究为非正规垃圾填埋场优化、天然非饱和土层中污染物浓度演变预测及相关污染防控措施提供了理论参考。

Abstract

A one-dimensional analytical model was developed to simulate the transport of organic contaminants through a defective geomembrane into the underlying unsaturated soil layer. This model accounted for geomembrane defects and incorporated the unsaturated properties of the soil

providing a more accurate representation of contaminant migration mechanisms in unsaturated soil. By applying boundary transformation

the displacement theorem

the Laplace transform

and its inverse

an analytical solution describing the variation of contaminant concentration with time and depth was derived. Additionally

the unsaturated soil layer was reduced to a saturated soil layer

and typical case studies were conducted to calculate contaminant concentration distributions. The obtained results were compared with existing research data

demonstrating a high degree of consistency. A systematic analysis was then conducted to investigate the effects of three key factors (i.e.

geomembrane wrinkle rate

the number of perforations

and the soil unsaturated index) on the temporal and spatial evolution of normalized contaminant concentration in the unsaturated soil layer. The results indicate that

at a given depth

the geomembrane wrinkle rate and the number of perforations are positively correlated with the contaminant migration rate

whereas the soil unsaturated index exhibits a negative correlation. Similarly

at a given time

the critical depth at which the normalized contaminant concentration becomes zero deepens with the increase of the geomembrane wrinkle rate and the number of perforations

but shallows with the increase of the soil unsaturated index. Moreover

the impact of geomembrane defects on contaminant migration is significantly greater than that of soil unsaturated properties. This study provides a theoretical reference for the optimization of informal landfills

the prediction of contaminant concentration evolution in natural unsaturated soil layers

and the related contamination prevention and control measures.

关键词

Keywords

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