Numerical calculation of lateral pressure on frozen wall envelope

Mine shaft construction in difficult hydrogeological conditions is carried out under protection of a frozen wall. The frozen wall is a critical geoengineering structure, and its strength governs efficiency of shaft sinking. The common method of the frozen wall thickness optimization is using analytical formulas with limiting state criteria. However, the result found this way essentially depends on the value of lateral pressure which affects the frozen wall envelope. This study is a theoretical research of the lateral pressure exerted on the frozen wall envelope by the adjacent unfrozen rock mass based on the numerical modeling of the stress–strain behavior of a rock mass layer with an opening made under protection of the frozen wall. The scope of the modeling embraces both the condition of rigid cohesion at the frozen and unfrozen rock interface and the smooth outer boundary of the frozen wall. For analyzing influence of plastic deformation on the lateral pressure, the modeling includes the cases of the elastic and elastoplastic deformation. The influence of high hydrostatic pressure on the frozen wall is investigated individually. The modeling results offer an inference that the value of the lateral pressure applied to an unsupported section of the frozen wall depends on the ductibility of the frozen rocks. The hydrostatic pressure distributes the lateral pressure over the frozen wall envelope more evenly. The comparison of the numerical modeling results and the lateral pressure estimates from the analytical formulas used in the engineering practices shows that the formulas always predict the higher lateral pressure values as against the numerical modeling.

Zhelnin M. S., Kostina A. A., Plekhov O. A., Semin M. A., Brovka G. P. Numerical calculation of lateral pressure on frozen wall envelope. MIAB. Mining Inf. Anal. Bull. 2022;(10):62-77. [In Russ]. DOI: 10.25018/0236_1493_2022_10_0_62.

The study was supported by the Ministry of Science and Higher Education of the Russian Federation, Project No. S-26/563.

M.S. Zhelnin¹, Cand. Sci. (Phys. Mathem.), Junior Researcher, e-mail: zhelnin.m@icmm.ru, ORCID ID: 0000-0003-4498-450X,
A.A. Kostina¹, Cand. Sci. (Phys. Mathem.), Researcher, e-mail: kostina@icmm.ru, ORCID ID: 0000-0002-5721-3301,
O.A. Plekhov¹, Dr. Sci. (Phys. Mathem.), Deputy Director for Science, e-mail: poa@icmm.ru, ORCID ID: 0000-0002-0378-8249,
M.A. Semin, Candidate of Technical Sciences, Researcher, Mining Institute of Ural Branch of Russian Academy of Sciences, 614007, Perm, Russia, e-mail: seminma@inbox.ru, ORCID ID: 0000-0001-5200-7931,
G.P. Brovka, Dr. Sci. (Eng.), Assistant Professor, Head of Laboratory, e-mail: brovka_gp@rambler.ru, Institute of Nature Management of National Academy of Sciences, Minsk, 220076, Belarus,
¹ Institute of Continuous Media Mechanics of Ural Branch of Russian Academy of Sciences, 614013, Perm, Russia.

M.A. Semin, e-mail: seminma@inbox.

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