污染物在填埋场底部非饱和土中的一维扩散解析解
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国家自然科学基金(51008274,51010008)、国家重点基础研究发展计划(“973”计划)(2012CB719806);浙江省公益性技术应用研究计划(2011C21061)资助项目


Analytical Solution for One Dimensional Contaminant DiffusionThrough Unsaturated Soils Beneath Landfills
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    摘要:

    为了揭示非饱和状态时污染物在填埋场底部土层中的运移规律,建立了污染物在非饱和土中的扩散模型。模型考虑了零浓度和零通量等下边界条件。在假设土层体积含水量随深度线性分布的基础上,利用分离变量法结合广义正交理论推导了该模型的解析解。解析解计算结果和有限元软件COMSOL Multiphysics 4.2的计算结果符合很好,并可退化到稳态解。100年时非饱和土底端污染物通量为91 g/ha/a,是孔隙度0.3时饱和土底端通量(63 g/ha/a)的1.4倍,是孔隙度0.6时通量(126 g/ha/a)的0.7倍。当土层上下端总体积含水量一定时,同一时刻土层底部污染物相对浓度随顶端含水量增大而减小;土层底部污染物通量变化则很小。本文解析解可用于复杂数值模型的检验,实验数据的拟合和填埋场防渗系统的初步设计等。

    Abstract:

    A one-dimensional diffusion model was developed to investigate contaminant distributions in unsaturated soils beneath a landfill. On the basis of the assumption that the volume water content is a linear function of depth, the analytical solution of the model was obtained by using the method of separation of variables combined with generalized orthogonal theory. The results obtained by the proposed analytical solution agree well with those obtained by the finite element software COMSOL Multiphysics 4.2. The proposed analytical solution can be degraded to the steady-state solution. When the maximum volume water content of 0.6 and minimum volume water content of 0.3 is assumed for an unsaturated soil, the 100-year contaminant flux at the bottom of unsaturated soil was 91 g/ha/a, which is 1.4 times greater than that of the case assuming porosity of 0.3 for the saturated and 0.7 times less than that with a saturated volume water content of 0.6. When the sum of the top and bottom volume water content of the unsaturated soil remains constant, the relative concentration at the bottom of the soil will decrease with increase of the volume water content at the top of the soil. The bottom contaminant flux was not greatly affected by the variation of the distribution of volume water content when the sum of the top and bottom volume water content remains constant. The proposed analytical solution is relatively simple, and can be used for verification of complicated numerical models, experimental data fitting, and preliminary design of landfill liner systems.

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关驰,谢海建,陈云敏,唐晓武,楼章华.污染物在填埋场底部非饱和土中的一维扩散解析解[J].土木与环境工程学报(中英文),2012,34(Z2):93-98. Guan Chi, Xie Haijian, Chen Yunmin, Tang Xiaowu, Lou Zhanghua. Analytical Solution for One Dimensional Contaminant DiffusionThrough Unsaturated Soils Beneath Landfills[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2012,34(Z2):93-98.[doi]

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  • 在线发布日期: 2013-03-07
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