基于污染物二维迁移简明解析解的填埋场渗沥液外漏污染范围预测

doi:10.3724/1000-6915.jrme.2026.0174

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Abstract Landfill leachate leakage causes pollutant migration, posing a risk of ecological damage to the surrounding environment. To address the key challenge of predicting the contamination range caused by leachate leakage, this study employs mathematical methods, including separation of variables, to derive a concise analytical solution for two-dimensional pollutant migration in a soil medium with infinite horizontal extent. The solution provides a practical tool for preliminary prediction of the contamination range resulting from leachate leakage. The derived analytical solution is then verified by comparison with two existing analytical solutions and the results of numerical simulations. Finally, using toluene as a representative pollutant, the effects of factors such as leakage duration on the contamination range are predicted based on the defined average and maximum contamination distances. The results show that, although increasing the spatial nonuniformity of pollutant concentrations in the leaked leachate reduces the average contamination distance, it increases the maximum contamination distance. Compared with the scenario involving a uniform concentration distribution, the maximum contamination distance can increase by 10.5% under a nonuniform concentration distribution. Both the average and maximum contamination distances increase markedly with leakage duration. When the leakage duration increases from 1 to 3 years, the average contamination distance increases by 133.0%. An increase in the hydraulic conductivity of the soil surrounding the landfill also substantially increases both contamination distances; a tenfold increase in hydraulic conductivity can increase them by more than fivefold. Therefore, related pollution prevention and control measures should account for both the effect of concentration nonuniformity in the leaked leachate on the maximum contamination distance and the influence of pre-existing contamination conditions on the subsequent effectiveness of these measures. Overall, this study contributes to the effective implementation of pollution prevention and control measures for landfill leachate leakage.

Key words： environmental pollution leakage of leachate contamination range prediction two-dimensional pollutant migration concise analytical solution landfill

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	Articles by authors
	JIANG Wenhao1
	2
	TIAN Chuan1
	LI Jiangshan2
	WANG Ping2
	WANG Hao1*

Cite this article:

JIANG Wenhao1,2,TIAN Chuan1, et al. Prediction of the contamination range of landfill leachate leakage based on the concise analytical solution for two-dimensional pollutant migration[J]. , 2026, 45(11): 3281-3293.

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https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2026.0174 OR https://rockmech.whrsm.ac.cn/EN/Y2026/V45/I11/3281

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