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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i8.30
pages 735-744


Nazmul Hasan
Civil and Environmental Engineering, Washington State University, Richland, WA 99354
Md. Akram Hossain
Civil and Environmental Engineering, Washington State University, Richland, Washington 99354


Diffusion from intra-particle pore spaces is considered to be the main reason for the slow release of contaminants from soil. Diffusion-controlled mass transfer can be simulated by the homogeneous surface diffusion model (HSDM). The objective of this paper is to present a simplified HSDM model (SHSDM) and a finite element HSDM model (FEHSDM) to simulate advective-dispersive transport through soils, coupled with intra-particle diffusion, under nonequilibrium conditions and compare these models with the dispersed flow, film and particle diffusion model (DF-FPDM) that has recently been reported in literature. The FEHSDM predictions compare well with experimental data for slightly hydrophobic compounds. The SHSDM and the DF-FPDM predictions, on the other hand, compare well with experimental results for relatively hydrophobic compounds. The SHSDM and the DF-FPDM predictions are practically the same for mass transfer Biot numbers Bi ≥ 20. However, considerable difference in the predictions of these two models is observed for Bi ≤ 1. The SHSDM and the DF-FPDM, by and large, provide convergent results and remain stable for Peclet numbers Pe ≤ 2.5 and Courant number Cr ≤ 1.0, with the FEHSDM requiring finer spatial and temporal discretizations.