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http://dx.doi.org/10.9719/EEG.2020.53.1.11

One-dimensional Analytical Solutions for Diffusion from a Low-permeability Layer  

Jang, Seonggan (Division of Earth Environmental System Sciences, Pukyong National University)
Yang, Minjune (Department of Earth and Environmental Sciences, Pukyong National University)
Publication Information
Economic and Environmental Geology / v.53, no.1, 2020 , pp. 11-21 More about this Journal
Abstract
One-dimensional analytical solutions were used for forward and back diffusion of trichloroethylene (TCE) and tetrachloroethylene (PCE) in a single system with high- and low-permeability layers. Concentration profiles in a low-permeability layer, diffusive fluxes at the interface between the high- and low-permeability layers, and contaminant persistence in the high-permeability layer due to back diffusion were simulated with a comparison of semi-infinite and finite analytical solutions. In order to validate the analytical solutions used in this study, the results of one-dimensional analytical solutions developed by Yang et al. (2015) were compared with Nash-Sutcliffe model efficiency coefficient (NSE). When compared with Yang et al. (2015), the analytical solutions used in this study showed good agreements (NSE = 0.99). When compared with semi-infinite analytical solutions, TCE and PCE concentration profiles in the low-permeability layer, the diffusive fluxes, and the contaminant tailings of the high-permeability layer were underestimated. In order to determine the appropriate analytical solutions based on the effective diffusion coefficient, the thickness of the low-permeability layer, and the diffusion time in the TCE and PCE contaminated site, a term of dimensionless diffusion length (Zd) was used. If the Zd is less than 0.7, the semi-infinite solutions can be used to simulate accurate concentration profiles in low-permeability layers. If the Zd is greater than 0.7, the reliability of simulations may be improved by using the finite solutions.
Keywords
analytical solution; DNAPL; diffusion; low-permeability layer; TCE;
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Times Cited By KSCI : 2  (Citation Analysis)
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