Analytical Solution for Pollutant Diffusion in Soils with Time-Dependent Dispersion Coefficient
Publication: International Journal of Geomechanics
Volume 19, Issue 10
Abstract
According to the characteristics of the time-dependent dispersion coefficient of pollutant migration in soils, a one-dimensional pollutant migration model considering solute decay is established in the finite thickness soil. Based on the proposed model, the time-dependent boundary condition variable is considered, and different types of time-dependent dispersion coefficients are also assumed. The variable parameter k for pollutant diffusion time is used to control the time-dependent model. The analytical solution is obtained by separating the variable method. The results calculated by the presented analytical solution compared with those in the literature indicate solution accuracy and program reliability. According to the parameter study, variable k in the time-dependent model has a particular influence on the results, and the time-dependent and constant boundary conditions have a significant difference. The proposed method can be a reference for the landfill liner design.
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Acknowledgments
This research was financially supported by the National Natural Science Foundation of China (Grants 51578427, 41572284, and 51808407) and the Public Technology Application Research Project of Zhejiang Province (Grant 2014C33015).
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Published In
International Journal of Geomechanics
Volume 19 • Issue 10 • October 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: May 20, 2018
Accepted: Mar 19, 2019
Published online: Jul 16, 2019
Published in print: Oct 1, 2019
Discussion open until: Dec 16, 2019
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