Assessment of the fracture stiffness coefficient based on laboratory testing of urtite core samples from the Khibiny massif
S.V. Dmitriev, N.N. Kuznetcov
Mining Institute of the Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation
Russian Mining Industry №2/ 2026 p. 200-205
Abstract: This paper presents experimental research results on normal and shear stiffness of artificial fractures in core samples collected from deposits in the Khibiny massif. Tests were carried out using the automated ASIS testing system under the constant normal load procedure. The experiments revealed dependencies of the fracture stiffness on the applied load and the core sample geometry. It was established that increasing normal stress leads to redistribution of the mechanical contact characteristics due to changes in the surface roughness and partial damage of the fracture edges. The most stable and representative data were obtained during the initial stages of loading. The average stiffness values were determined, which can serve as the input parameters for numerical modeling of the fractured rock masses, including the finite elements methods. The findings have practical relevance for assessing rock mass stability and predicting rock behavior under mining conditions.
Keywords: normal stiffness, shear stiffness, laboratory testing, stiffness coefficient, fracture, core sample
Acknowledgements: The authors express their gratitude to A.K. Pak, Senior Engineer at the Laboratory of Instrumental Investigations of Rock Mass State in the Arctic Zone of the Russian Federation, for conducting the laboratory tests.
For citation: Dmitriev S.V., Kuznetcov N.N. Assessment of the fracture stiffness coefficient based on laboratory testing of urtite core samples from the Khibiny massif. Russian Mining Industry. 2026;(2):200–205. https://doi.org/10.30686/1609-9192-2026-2-200-205
Information about the article
Received: 19.12.2025
Reviewed: 09.02.2026
Accepted: 17.02.2026
Information about the authors
Sergey V. Dmitriev – Candidate of Technical Sciences, Researcher, Mining Institute of the Kola Science Centre of the Russian Academy of Sciences, Apatity, Russian Federation; https://orcid.org/0000-0003-0422-5699; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Nikolay N. Kuznetcov – Candidate of Technical Sciences, Head of Research Sector (Laboratory), Leading Researcher, Mining Institute of the 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.
References
1. Kozyrev A.A., Semenova I.E., Shestov A.A., Vettegren V.I., Kuksenko V.S., Tomilin N.G., Kryuchkov M.A. Three-dimensional modeling of the geomechanical state of a rock mass as a basis for predicting rockburst hazard in the mines of JSC Apatit. In: Geodynamics and stress state of the Earth's interior: Proc. scientific conf., Novosibirsk, October 2–5, 2007. Novosibirsk: Siberian Branch of the Russian Academy of Sciences; 2008, pp. 272–278. (In Russ.)
2. Kozyrev A.A., Panin V.I., Semenova I.E. Geodynamic risk management in the Khibiny apatite mines. Mining Informational and Analytical Bulletin. 2010;(12):347–359. (In Russ.)
3. Cundall P.A., Hart R.D. Numerical modelling of discontinua. Engineering Computations. 1992;9(2):101–113. https://doi.org/10.1108/eb023851
4. Wriggers P. Computational Contact Mechanics. 2nd ed. Berlin; Heidelberg: Springer; 2006. 518 p. https://doi.org/10.1007/978-3-540-32609-0
5. Goodman R.E., Taylor R.L., Brekke T.L. A model for the mechanics of jointed rock. Journal of the Soil Mechanics and Foundation Division Proceedings of the American Society of Civil Engineers. 1968;94(3):637–660. https://doi.org/10.1061/JSFEAQ.0001133
6. Latyshev O.G., Kazak O.O. Influence of rock disturbance on their properties and condition. News of the Ural State Mining University. 2017;(4):62–65. (In Russ.) Available at: https://iuggu.ru/index.php?id=785:12-4-17 (accessed: 12.10.2025).
7. Barton N., Choubey V. The shear strength of rock joints in theory and practice. Rock Mechanics. 1977;10(1-2):1–54. https://doi.org/10.1007/BF01261801
8. Semenova I.E., Dmitriev S.V., Kuznetsov N.N. Stress-strain state near a mine working intersected by a fracture under tectonic compression conditions. Gornyi Zhurnal. 2024;(11):31–35. (In Russ.) https://doi.org/10.17580/gzh.2024.11.05
9. Cao P., Deng H., Chen Y., Fu N. The shear characteristic and failure mechanism study of infilled rock joints with constant normal load. Journal of Vibroengineering. 2019;21(4):940–951. https://doi.org/10.21595/jve.2018.20055
10. Cao P., Deng H., Chen Y., Fu N. The shear characteristic and failure mechanism study of infilled rock joints with constant normal load. Journal of Vibroengineering. 2019;21(4):940–951. https://doi.org/10.21595/jve.2018.20055
11. Shahverdiloo M.R., Zare S. Studying the normal stress influential factor on rock joint stiffness using CNL direct shear test. Arabian Journal of Geosciences. 2021;14(20):2082. https://doi.org/10.1007/s12517-021-08449-6
12. Kostyuchenko V.N., Kocharyan G.G., Pavlov D.V. Deformation characteristics of interblock gaps of various scales. Physical Mesomechanics. 2002;5(5):23–42. (In Russ.)
13. Konyukhov D.S. Study of mechanical properties of large fractures by mathematical modeling. Extended abstract of Candidate of Technical Sciences dissertation. Moscow; 2000. 20 p. (In Russ.)
14. Yufin S.A., Lamonina E.V. Analysis of the stress-strain state of fractured rocks using numerical methods. Mining Informational and Analytical Bulletin. 2008;(10):268–277. (In Russ.) Available at: https://giab-online.ru/files/Data/2008/10/6_YUfin4.pdf (accessed: 12.10.2025).
15. Semenova I.E., Dmitriev S.V., Shestov A.A. FEM Contact Solver: Computer program registration certificate. RU 2023681528. Published 16.10.2023. (In Russ.)
16. Dmitriev S.V. Modeling the stress-strain state of rock masses considering inhomogeneities. Subsoil Use Problems. 2017;(1):132–137. (In Russ.) https://doi.org/10.18454/2313-1586.2017.01.132



