Improvement of the algorithm for calculating the stress-strain state of a rock mass when measuring strains using the stress relief method at the borehole bottom
I.E. Semenova1, P.V. Amosov2, N.N. Kuznetcov1, V.A. Nekrasov1
1 Mining Institute, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation
2 Institute of North Industrial Ecology Problems, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation
Russian Mining Industry №5 / 2025 p. 84-90
Abstract: The paper is a continuation of the research on calculating parameters of the stress-strain state of the rock mass based on in-situ measurements. An algorithm is described that allows combining the approaches of the Mining Institute of the Kola Science Centre of the RAS and those of E.R. Leeman to calculate the stresses acting in the rock mass and determined on the basis of data obtained by the stress relief method when measured at the borehole bottom. The mathematical apparatus for calculating the components of the stress tensor in the plane of the bottom-hole surface of three mutually perpendicular boreholes is given when the choice of directions of two of them coincides with the directions of the main stresses at the bottom of the third borehole. The situation of using a four-gauge rosette is analyzed for layouts with the angles of 0, 60, 120 and 90°. Two possible algorithms for the calculation of the normal stress components are presented, as well as the results of calculations based on the experimental data obtained during the measurements of the stress-strain state in a rock mass of the Zhdanovskoye deposit. A comparative analysis of the obtained predicted values of the maximum and minimum stresses by the criterion of deviation by ±10% from the mean was carried out. Application of the least squares method gives the values of the maximum and minimum stresses close to the results of the enumeration of 16 possibilities.
Keywords: stress-strain state, rock mass, doorstopper method, borehole, strain-gauge rosette
For citation: Semenova I.E., Amosov P.V., Kuznetcov N.N., Nekrasov V.A. Improvement of the algorithm for calculating the stress-strain state of a rock mass when measuring strains using the stress relief method at the borehole bottom. Russian Mining Industry. 2025;(5):84–90. (In Russ.) https://doi.org/10.30686/1609-9192-2025-5-84-90
Article info
Received: 11.05.2025
Revised: 09.07.2025
Accepted: 14.07.2025
Information about the authors
Inna E. Semenova – Cand. Sci. (Eng.), Head of Department of Rock Mechanics, Mining Institute, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; https://orcid.org/0000-0003-4074-7240 ; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Pavel V. Amosov – Cand. Sci. (Eng.), Leading researcher of the Laboratory of Interdisciplinary Ecological and Economic Research, Institute of North Industrial Ecology Problems, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; https://orcid.org/0000-0002-7725-6261 ; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Nikolai N. Kuznetcov – Cand. Sci. (Eng.), Head of the Laboratory of Instrumental Study of Rock’s State of the Russian Arctic Region, Department of Rock Mechanics, Mining Institute, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; https://orcid.org/0000-0002-0624-4351 ; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Valery A. Nekrasov – Leading Engineer of the Laboratory of Instrumental Study of Rock’s State of the Russian Arctic Region, Department of Rock Mechanics, Mining Institute, Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
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