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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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CiteScore 2017: 0.91

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Source Normalized Impact per Paper (SNIP) 2017: 1.022

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Online
ISSN
1569-3945
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Volume 24, Issue 1

Issues

A coupled model of partial differential equations for uranium ores heap leaching and its parameters identification

Wen Zhang
  • School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005, P. R. China; and School of Science, East China Institute of Technology, Nanchang, Jiangxi, 330013, P. R. China
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  • Other articles by this author:
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/ Zhanxue Sun
  • School of Water Resources and Environmental Engineering, East China Institute of Technology, Nanchang, Jiangxi, 330013, P. R. China
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/ Zewen Wang / Kangxiu Hu
Published Online: 2015-05-06 | DOI: https://doi.org/10.1515/jiip-2013-0066

Abstract

In this article, we consider a mathematical modelling problem in engineering of uranium ores heap leaching. Firstly, we deduce a mathematical model of uranium ores heap leaching by combining solute transportation equations with microbial chemical reactions. Secondly, an inverse problem, which is solved by the optimal perturbation method together with the Tikhonov regularization, is considered for identifying the parameters of the proposed mathematical model. Finally, numerical simulations are given for the forward problem and the inverse problem to show the pattern of uranium ores microbial heap leaching and verify the effectiveness of parameters identification, respectively.

Keywords: Uranium; heap leaching; inverse problem; parameters identification; mathematical modelling

MSC: 35K57

About the article

Received: 2013-11-06

Revised: 2014-05-11

Accepted: 2015-04-05

Published Online: 2015-05-06

Published in Print: 2016-02-01


Funding Source: National Natural Science Foundation of China

Award identifier / Grant number: 41001320

Funding Source: National Natural Science Foundation of China

Award identifier / Grant number: 11161002

Funding Source: National High-tech R&D Program of China

Award identifier / Grant number: 2012AA061504

Funding Source: Young Scientists Training Project of Jiangxi Province

Award identifier / Grant number: 20122BCB23024

Funding Source: Key Program for International S&T Cooperation Projects of China

Award identifier / Grant number: 2011DFR60830

Funding Source: Science and Technology Ground Project of Higher Education Institutions of Jiangxi Province

Award identifier / Grant number: KJLD14051

Funding Source: Fundamental Research Funds for Xiamen University

Award identifier / Grant number: 201412G005


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 24, Issue 1, Pages 41–50, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2013-0066.

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