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Updated: Jul 1, 2025

An Inverse Analysis Approach to the Characterization of Chemical Transport in Paints
Published on: August 29, 2014
Analytical solution of a pollutant transport model for unsaturated soil considering the effects of consolidation and
Guo-Qing Cai1, Feng-Jie Yin1, Shi-Jie Guo2
1Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing 100044, China; School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China.
Abstract:
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.
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