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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 4, Pages 102–109 (Mi sjim756)  
This article is cited in 22 scientific papers (total in 22 papers)

Estimation of stresses and deformation properties of rock masses based on the solution of an inverse problem by the data of the measurement of free surface displacement

L. A. Nazarova, L. A. Nazarovaa, A. L. Karchevskiib, A. V. Panova

a Chinakal Institute of Mining SB RAS, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (635 kB) Citations (22)
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Abstract: We propose a method for the interpretation of the measurement data of the variations of the displacements and strains on free surfaces induced by underground mining. The method makes it possible to estimate the components of the natural stress field and the elastic properties of the constructive elements of technologies of mineral mining. The method is based on the solution of inverse problems for the system of elasticity equation in domains of arbitrary configuration. We investigate the structure of the proposed target functions and determine the optimal values of the weight coefficients that guarantee the solvability of the inverse problem and the limit error level in the input data of different types.
Keywords: inverse problem, elasticity, target function, natural stresses, mining.
Received: 02.10.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 2, Pages 234–240
DOI: https://doi.org/10.1134/S1990478913020130
Document Type: Article
UDC: 539.3+517.95
Language: Russian
Citation: L. A. Nazarov, L. A. Nazarova, A. L. Karchevskii, A. V. Panov, “Estimation of stresses and deformation properties of rock masses based on the solution of an inverse problem by the data of the measurement of free surface displacement”, Sib. Zh. Ind. Mat., 15:4 (2012), 102–109; J. Appl. Industr. Math., 7:2 (2013), 234–240
Citation in format AMSBIB
\Bibitem{NazNazKar12}
\by L.~A.~Nazarov, L.~A.~Nazarova, A.~L.~Karchevskii, A.~V.~Panov
\paper Estimation of stresses and deformation properties of rock masses based on the solution of an inverse problem by the data of the measurement of free surface displacement
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 4
\pages 102--109
\mathnet{http://mi.mathnet.ru/sjim756}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 2
\pages 234--240
\crossref{https://doi.org/10.1134/S1990478913020130}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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