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.
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.
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