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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 4, Pages 35–43
DOI: https://doi.org/10.17377/sibjim.2017.20.405 (Mi sjim977) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Determination the possibility of a rock burst in a coal seam

A. L. Karchevsky

Institute of Comprehensive Exploitation of Mineral Resources RAS, 4 Kryukovsky dumb, 111020 Moscow
Full-text PDF (281 kB) Citations (15)
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DOI: https://doi.org/10.17377/sibjim.2017.20.405
Abstract: The paper presents an algorithm for computing the value serving as a criterion for the decision about a possible rock burst in a coal seam. This value is proposed to be sought for in the two step. The first step solves an inverse problem for finding the necessary quantities, and the second step solves a boundary value problem for the biharmonic equation. The inverse problem can be solved by minimizing the objective functional. Its strong convexity is shown.
Keywords: rock burst, coal seam, plane problem of the theory of elasticity, biharmonic equation.
Funding agency Grant number
Russian Science Foundation 16-17-00029
Received: 21.06.2017
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 527–534
DOI: https://doi.org/10.1134/S199047891704010X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. L. Karchevsky, “Determination the possibility of a rock burst in a coal seam”, Sib. Zh. Ind. Mat., 20:4 (2017), 35–43; J. Appl. Industr. Math., 11:4 (2017), 527–534
Citation in format AMSBIB
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\by A.~L.~Karchevsky
\paper Determination the possibility of a~rock burst in a~coal seam
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 4
\pages 35--43
\mathnet{http://mi.mathnet.ru/sjim977}
\crossref{https://doi.org/10.17377/sibjim.2017.20.405}
\elib{https://elibrary.ru/item.asp?id=32662943}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 527--534
\crossref{https://doi.org/10.1134/S199047891704010X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036475210}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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