无机污染物离子在电动土工屏障中的一维对流–扩散模型及其解析解

doi:10.13722/j.cnki.jrme.2019.1226

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摘要电动修复是一项十分具有应用前景的土壤修复技术，利用该技术原理提出的电动土工屏障，可以有效阻止污染物往周围土体和地下水中的扩散。考虑无机污染物离子在浓度梯度、水力梯度以及电渗和电迁移共同作用下的迁移规律，建立电动土工屏障中无机离子的一维对流–扩散模型，并采用Laplace变换法推导其解析解，给出屏障中任一断面的离子流出质量通量计算公式，并通过与文献中的一维模型试验结果进行对比验证其正确合理性。在此基础上，利用提出的解析解，开展参数研究，分析无机污染物离子在电动土工屏障中的迁移规律。结果表明：阳极边界处的Pb2+稳定流出质量通量随着平均电势梯度、黏土层厚度、土体电渗透系数的增大而显著减小；对于扩散系数大的污染物离子，建议提高平均电势梯度以增强其电动迁移效果；吸附阻滞因子对最终稳定流出质量通量影响较小，但可以有效延长电动土工屏障被击穿的时间。所提出的解析模型为电动土工屏障的设计提供一种简便的计算方法，还可验证相关数值模型的正确性。

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	黄鹏华
	王柳江
	刘斯宏
	薛晨阳

关键词 ：基础工程, 电动土工屏障, 污染物迁移, 解析解, 参数分析

Abstract：Electro-kinetic remediation is one soil remediation technology with a significant application prospect，and the electro-kinetic barrier developed based on the principle of this technology can effectively prevent the diffusion of contaminant ions to nearby soils or underground water. In this paper，a 1D advection-diffusion model for contaminant ion transport was established for the electro-kinetic barrier considering the combined action of concentration gradient，hydraulic gradient，electro-osmosis and electro-migration. Analytical solution was then derived by using the Laplace transform method，and the formula for calculating the mass flux was also given. Thereafter，the proposed analytical solution was verified by the 1D mode test results in the previous study. Finally，parameter study was conducted to analyze the migration of contaminant ions in the electro-kinetic barrier. The results indicate that the mass flux of Pb2+ at anode boundary decreases remarkably with increasing average potential gradient，barrier thickness or electro-osmotic conductivity. For the contaminant ions with a large diffusion coefficient，it is suggested to increase the potential gradient to improve the effect of electro-kinetic migration. The soil adsorption retardation coefficient has an unremarkable effect on the final stable outflow mass flux but can effectively prolong the breakthrough time of the electro-kinetic barrier. The proposed analytical solution can not only provide a simple calculation method for the design of electro-kinetic barrier but also be used to verify the corresponding numerical models.

Key words： foundation engineering')" href="#">

foundation engineering electro-kinetic barrier contaminant migration analytical solution ')" href="#">parameter analysis

引用本文:

黄鹏华，王柳江，刘斯宏，薛晨阳. 无机污染物离子在电动土工屏障中的一维对流–扩散模型及其解析解[J]. 岩石力学与工程学报, 2020, 39(8): 1719-1728.
HUANG Penghua，WANG Liujiang，LIU Sihong，XUE Chenyang. One-dimensional advection-diffusion model and analytical solution for inorganic contaminant ion transport in electro-kinetic barrier. , 2020, 39(8): 1719-1728.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.1226 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/I8/1719

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