A Nonlinear Solute Transport Model and Data Reconstruction with Parameter Determination in an Undisturbed Soil-Column ExperimentReport as inadecuate




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Mathematical Problems in EngineeringVolume 2011 2011, Article ID 679531, 14 pages

Research Article

Institute of Applied Mathematics, Shandong University of Technology, Shandong, Zibo 255049, China

Institute of Mining Technology, Inner Mongolia University of Technology, Hohhot, Inner Mongolia 010051, China

Center of Analysis and Testing, Shandong University of Technology, Shandong, Zibo 255049, China

Received 22 June 2011; Accepted 19 October 2011

Academic Editor: J. Rodellar

Copyright © 2011 Gongsheng Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A real undisturbed soil-column infiltrating experiment in Zibo, Shandong, China, is investigated, and a nonlinear transport model for a solute ion penetratingthrough the column is put forward by using nonlinear Freundlich-s adsorption isotherm. Since Freundlich-s exponent and adsorption coefficient and source-sink terms in the model cannot be measured directly, an inverse problem of determining these parameters is encounteredbased on additional breakthrough data. Furthermore, an optimal perturbation regularizationalgorithm is introduced to determine the unknown parameters simultaneously. Numerical simulationsare carried out and then the inversion algorithm is applied to solve the real inverseproblem and reconstruct the measured data successfully. The computational results show thatthe nonlinear advection-dispersion equation discussed in this paper can be utilized by hydrogeologiststo research solute transport behaviors with nonlinear adsorption in porous medium.





Author: Gongsheng Li, De Yao, Yongzai Wang, and Xianzheng Jia

Source: https://www.hindawi.com/



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