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Scientific, Technological and Production Journal
ISSN 2079–3332 (print)
ISSN 3034-6835 (online)
founded in 2001

The axisymmetric problem of the displacement massif a linear-deformable rock mass during the underground mining

Original articles: 2025 No 5

The axisymmetric problem of the displacement massif a linear-deformable rock mass during the underground mining

DOI: https://doi.org/10.56195/20793332-2025-25-4-21-25

Read in pdf А.A. Grigoryev, A.M. Grigoryev, A.V . Zinchenko, K.B. Ponomarenko
  1. VIOGEM, laboratory of rock pressure and displacement rock mass, Belgorod, Russian Federation
p. 21-25, No.5/2025
Abstract:
Two variants of mathematical models of rock displacement in an axisymmetric formulation are considered for the forecast assessment of the consequences of underground mining. For a homogeneous, isotropic, linearly deformable array, their solutions are obtained by the integral Hankel transformation. The given examples show the possibilities of modeling, what results can be obtained and in what form they are presented. The change of the subsidence trough during the development of mining operations is shown. Graphs of subsidence, horizontal displacements, and deformations used for the control of rock displacement are constructed. The effect of changes in the mechanical characteristics (coefficient of lateral expansion) of the array on the calculation results has been assessed. The research results may be useful in assessing the harmful impact of mining operations on surface structures and natural objects.
Keywords:
underground mining, subsidence, displacement, boundary value problem, boundary conditions, Hankel transform, horizontal displacements and deformations
For citation:
Grigoryev А.A., Grigoryev A.M., Zinchenko A.V., Ponomarenko K.B. The аxisymmetric problem of the displacement massif a linear-deformable rock mass during the underground mining. Mine Surveying and Subsurface Use. 2025;25(5):21-25. (In Russ.). https://doi.org/10.56195/20793332-2025-25-5-21-25
Information about the authors:
  1. Andrey A. Grigoryev – Research Fellow of Laboratory of Rock Pressure and Displacement Rock Mass, VIOGEM, 308007, Belgorod, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
  2. Aleksandr M. Grigoryev – Cand. Sci. (Eng.), Docent, Consultant of Laboratory of Rock Pressure and Displacement Rock Mass, VIOGEM, 308007, Belgorod, Russian Federation
  3. Alexey V. Zinchenko – Cand. Sci. (Eng.), Senior Scientist of Laboratory of Rock Pressure and Displacement Rock Mass, VIOGEM, 308007, Belgorod, Russian Federation
  4. Konstantin B. Ponomarenko – Research Fellow of Laboratory of Rock Pressure and Displacement Rock Mass, VIOGEM, 308007, Belgorod, Russian Federation
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