The migration behavior of pollutants is affected by consolidation and temperature when using thermal desorption technology to clean contaminated sites. Based on a one-dimensional consolidation model for unsaturated soil and the traditional heat conduction equation, a pollutant transport model accounting for the combined effects of consolidation and temperature was established in this paper. An analytical solution was obtained by using the separation of variables method and the integral transformation method. In addition, the correctness of the proposed model was verified via a comparison between the existing analytical solution and the theoretical model. Finally, adopting benzene as the research object, the influence of different factors on pollutant migration was studied. It was found that the growth rate of the pollutant concentration increased with increasing consolidation pressure, and the final pollutant concentration decreased with increasing consolidation pressure. The pollutant concentration increment due to temperature first increased and then decreased with increasing migration distance. The higher the Soret coefficient and volumetric moisture content are, the higher the pollutant concentration.

中文翻译：

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考虑固结和温度影响的非饱和土污染物迁移模型解析解

采用热脱附技术清洁污染场地时，污染物的迁移行为受到固结和温度的影响。基于非饱和土一维固结模型和传统热传导方程，建立了考虑固结和温度共同影响的污染物迁移模型。采用分离变量法和积分变换法得到解析解。此外，通过现有解析解与理论模型的比较，验证了所提模型的正确性。最后以苯为研究对象，研究了不同因素对污染物迁移的影响。研究发现，随着固结压力的增大，污染物浓度增长率增大，最终污染物浓度随着固结压力的增大而减小。随着迁移距离的增加，温度引起的污染物浓度增量先增大后减小。索雷系数和体积含水率越高，污染物浓度越高。