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A Layer-Integrated Model of Solute Transport in Heterogeneous Media

Published online by Cambridge University Press:  03 June 2015

Hung-En Chen ,
Hui-Ping Lee ,
Shih-Wei Chiang ,
Tung-Lin Tsai  and
Jinn-Chuang Yang
Hung-En Chen
Affiliation:
Department of Civil Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 30010, Taiwan
Hui-Ping Lee
Affiliation:
Department of Civil Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 30010, Taiwan
Shih-Wei Chiang*
Affiliation:
Agricultural Engineering Research Center, 196-1 Chung Yuan Road, Chungli 32061, Taiwan
Tung-Lin Tsai
Affiliation:
Department of Civil and Water Resources Engineering National Chiayi University, 300 Syuefu Road, Chiayi 60004, Taiwan
Jinn-Chuang Yang
Affiliation:
Department of Civil Engineering and Disaster Prevention and Water Environment Research Center, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 30010, Taiwan
*
*Corresponding author. Email: swchiang.cv92g@nctu.edu.tw
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Abstract

This study presents a numerical solution to the three-dimensional solute transport in heterogeneous media by using a layer-integrated approach. Omitting vertical spatial variation of soil and hydraulic properties within each layer, a three-dimensional solute transport can be simplified as a quasi-three-dimensional solute transport which couples a horizontal two-dimensional simulation and a vertical one-dimensional computation. The finite analytic numerical method was used to discretize the derived two-dimensional governing equation. A quadratic function was used to approximate the vertical one-dimensional concentration distribution in the layer to ensure the continuity of concentration and flux at the interface between the adjacent layers. By integration over each layer, a set of system of equations can be generated for a single column of vertical cells and solved numerically to give the vertical solute concentration profile. The solute concentration field was then obtained by solving all columns of vertical cells to achieve convergence with the iterative solution procedure. The proposed model was verified through examples from the published literatures including four verifications in terms of analytical and experimental cases. Comparison of simulation results indicates that the proposed model satisfies the solute concentration profiles obtained from experiments in time and space.

Keywords

65C2065M99Layer-integrated modelgroundwatersolute transportfinite analytic methodhet-erogeneous media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 6 , December 2014 , pp. 699 - 717
Copyright
Copyright © Global-Science Press 2014

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