Analytical model for transient contaminant transport in clay barrier under combined effects of diffusion, adsorption and consolidation processes are developed. The generalized integral transform technique (GITT) is adopted to successfully derive the analytical solutions. The proposed analytical model is validated by experimental results. The analytical models are applied to develop an understanding of how contaminant migration is governed by a combination of the consolidation and diffusion processes. The effects of effective diffusivity, hydraulic conductivity, void ratio and adsorption coefficient are investigated. It was demonstrated that the consolidation model with large displacement induces the shortest breakthrough time compared to the consolidation model with small displacement and no consolidation model. The settlement, advection and spatial variation of the void ratio induced by large displacement model are attributable to an earlier breakthrough of contaminant. The advection flux induced by consolidation is an important component to develop an accurate assessment of contaminant migration in deforming clay barrier. The contribution of advection process to total contaminant flux can reach 29%. The results indicate that coupled consolidation and contaminant migration models are necessary to design a conservative clay barrier. The proposed analytical model also provides modelling benchmarks to examine the accuracy of alternative multi-physics numerical models.

开发了在扩散、吸附和固结过程的综合作用下粘土屏障中瞬态污染物传输的分析模型。采用广义积分变换技术（GITT）成功推导出解析解。实验结果验证了所提出的分析模型。应用分析模型来了解污染物迁移如何受固结和扩散过程的组合控制。研究了有效扩散率、水力传导率、空隙率和吸附系数的影响。结果表明，与小位移固结模型和无固结模型相比，大位移固结模型诱导的突破时间最短。结算，大位移模型引起的孔隙比的平流和空间变化归因于污染物的较早突破。固结引起的平流通量是准确评估变形粘土屏障中污染物迁移的重要组成部分。平流过程对总污染物通量的贡献可达29%。结果表明耦合固结和污染物迁移模型对于设计保守的粘土屏障是必要的。建议的分析模型还提供建模基准，以检查替代多物理场数值模型的准确性。固结引起的平流通量是准确评估变形粘土屏障中污染物迁移的重要组成部分。平流过程对总污染物通量的贡献可达29%。结果表明耦合固结和污染物迁移模型对于设计保守的粘土屏障是必要的。建议的分析模型还提供建模基准，以检查替代多物理场数值模型的准确性。固结引起的平流通量是准确评估变形粘土屏障中污染物迁移的重要组成部分。平流过程对总污染物通量的贡献可达29%。结果表明耦合固结和污染物迁移模型对于设计保守的粘土屏障是必要的。建议的分析模型还提供建模基准，以检查替代多物理场数值模型的准确性。