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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2017 Volume 20, Number 4, Pages 35–43 (Mi sjim977)

This article is cited in 14 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

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.

UDC: 519.63

Received: 21.06.2017

DOI: 10.17377/sibjim.2017.20.405


 English version:
Journal of Applied and Industrial Mathematics, 2017, 11:4, 527–534

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© Steklov Math. Inst. of RAS, 2026