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Publicly Available Published by De Gruyter May 6, 2015

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

  • Wen Zhang EMAIL logo , Zhanxue Sun , Zewen Wang and Kangxiu Hu

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.

MSC: 35K57

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

The authors would like to thank the editor and reviewers for their valuable comments and useful suggestions.

Received: 2013-11-6
Revised: 2014-5-11
Accepted: 2015-4-5
Published Online: 2015-5-6
Published in Print: 2016-2-1

© 2016 by De Gruyter

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