Stress–strain analysis of rock mass during open stoping of bedded mineral deposits with regard to various rates of change of backfill stiffness characteristics

The relevance of the study is defined by the need to find open stoping flowsheets to minimize losses of minerals. A considerable increase in the volume of extraction of mineral resources is possible through creation of artificial pillars made of a hardening backfill material composed of salt waste. The object of study is the stress–strain behavior of rock mass in the course of stoping using a flowsheet that involves creation of artificial pillars made of a hardening backfill material in the mined-out stopes and the further extraction of resources from rib pillars. The objective of study consists in: mechanical–mathematical stress–strain modeling of rock mass; analysis and selection of the physical and mechanical properties of backfill materials to ensure load-carrying capacity of the test geotechnical rock mass–manmade pillar system. The main method of study is the numerical modeling using the finite element method. Based on the research findings, some patterns of the backfill material behavior are proposed and the best acceptable chart of development of strength in the backfill material from the viewpoint of the required load-carrying capacity of the test geotechnical system is selected.

Zhuravkov M. A., Nikolaitchik M. A., Petrachkov D. А., Feoktistov P. G., Morochkovski I. V. Stress–strain analysis of rock mass during open stoping of bedded mineral deposits with regard to various rates of change of backfill stiffness characteristics. MIAB. Mining Inf. Anal. Bull. 2025;(5):50-64. [In Russ]. DOI: 10.25018/0236_1493_2025_5_0_50.

M.A. Zhuravkov¹, Dr. Sci. (Phys. Mathem.), Professor, Head of Chair, e-mail: zhuravkov@bsu.by, ORCID ID: 0000-0002-7420-5821,
M.A. Nikolaitchik¹, Cand. Sci. (Phys. Mathem.), Head of Laboratory, e-mail: nikolaitchik.m@gmail.com, ORCID ID: 0000-0003-3733-1615,
D.А. Petrachkov¹, Master of Science, Junior Researcher, e-mail: petrachkou.daniil@gmail.com, ORCID ID: 0009-0005-7385-6162,
P.G. Feoktistov², Director, e-mail: pavel.feoktistov@pgrp.by, ORCID ID: 0000-0003-3733-1615,
I.V. Morochkovski², Head of Mining Deparment, e-mail: ivan.morochkovski@pgrp.by, ORCID ID: 0009-0000-2230-1494,
¹ Belarusian State University, 220030, Minsk, Belarus,
² LLC «PGP», 220024, Minsk, Belarus.

D.А. Petrachkov, e-mail: petrachkou.daniil@gmail.com.

1. Filippov S. A., Artemova A. Y. Forming of the conception of rational development of the salt reserves of the Verkhnekamskoe deposit. Nedropolzovanie XXI vek. 2009, no. 4, pp. 92—93. [In Russ].

2. Zhang Z. X., Hou D. F., Aladejare A., Ozoji T., Qiao Y. World mineral loss and possibility to increase ore recovery ratio in mining production. International Journal of Mining, Reclamation and Environment. 2021, vol. 35, no. 9, pp. 670—691.

3. Karimov Y. L., Huzhakulov A. M., Latipov Z. Y. U. Hydraulic backfill of a mined-out space during the underground excavation of potash. Journal of Advances in Engineering Technology. 2020, no. 1, pp. 25—28. [In Russ].

4. Fliß T., Marx H., Thona H. Backfilling and pillar re-mining in potash industry. Minefill 2011, 10th International Symposium on Mining with Backfill, The Southern African Institute of Mining and Metallurgy. 2011, available at: https://www.k-utec.de/fileadmin/redakteur/GMB/Dokumente/paper_ kutec_minefill_en1.pdf.

5. Marx H., Lack D., Krauke W. Substantial aspects of the recycling of industrial wastes as backfilling material in salt mines. 20th World Mining Congress & EXPO «Mining and Sustainable Development». Tehran, Iran, 2005, available at: https://www.k-utec.de/fileadmin/redakteur/Dowloads/ Veroeffentlichungen_und_Praesentationen/abstract3.pdf.

6. Dyduch G., Jarczyk P., Jendryś M. Geomechanical analysis of the rock mass stability in the area of the «Regis» shaft in the «Wieliczka» salt mine. Minefill 2020—2021, CRC Press, 2021, pp. 349—359. DOI: 10.1201/9781003205906-31.

7. Smirnov E. V., Chernopazov D. S., Sekuntsov A. I. The technology of successive winning of silvinite seams reserves in the conditions of Verkhnekamskoye deposit of potassium salts. Minerals and Mining Engineeringл. 2017, no. 2, pp. 11—16. [In Russ].

8. Vasilyev A. L., Vasilyeva M. A. Using of hydraulic filling on a base of hardening mixtures from the potash industry wastes. Problemy razrabotki mestorozhdeniy uglevodorodnykh i rudnykh poleznykh iskopaemykh. 2015, no. 1, pp. 224—227. [In Russ].

9. Titov N. V., Evsyukova A. A., Kolesnichenko E. I. Investigation of the possibility of using a hardening bookmark formed on the basis of silvinite ore dressing waste. Sovremennye prikladnye issledovaniya. Materialy sed'moy Vserossiyskoy (natsional'noy) nauchno-prakticheskoy konferentsii [Modern applied research. Proceedings of the seventh All-Russian (National) Scientific and Practical Conference], Shakhty, 2021, pp. 308—310. [In Russ].

10. Radchenko D. N., Tatarnikov V. I. Choose of the formulation of the backfilling mixtures for the forming of the consolidated filling massif during underground extraction in the Gremyachinskoye deposit. Problemy i perspektivy kompleksnogo osvoeniya i sokhraneniya zemnykh nedr. Materialy 5-y konferentsii Mezhdunarodnoy nauchnoy shkoly akademika RAN K.N. Trubetskogo [Problems and prospects of integrated development and conservation of the Earth's interior. Proceedings of the 5th conference of the International Scientific School of Academician of the Russian Academy of Sciences K.N. Trubetskoy], Moscow, IPKON RAN, 2022, pp. 222—225. [In Russ].

11. Deshkovskiy V. N., Novokshonov V. N., Palto P. P. Development of the methodology of estimation of the height of the water conducting cracks zone propagation for the pillar mining system with partial filling of the mined-out area with the gob pack. Gornaya mekhanika. 2007, no. 2, pp. 77—84. [In Russ].

12. Shvab R. G., Deshkovskiy V. N. Control of the state of the worked rock massif by the partial filling of mined-out area with the gob pack from the destroyed halite during the potash excavation. Perm Journal of Petroleum and Mining Engineering. 2009, no. 4, pp. 20—27. [In Russ].

13. Kovalskii E. R., Gromtsev K. V. Development of the technology of stowing the developed space during mining. Journal of Mining Institute. 2022, vol. 254, pp. 202—209. [In Russ]. DOI: 10.31897/ PMI.2022.36.

14. Gilev M. V., Konstantinova S. A., Marakov V. E., Chernopazov S. A. Filling of the mined-out spase during mining sylvinite layers as a constructive element of the mining system. Mine Surveying Bulletin. 2007, no. 1, pp. 33—40. [In Russ].

15. Rybak J., Khayrutdinov M. M., Kuziev D. A., Kongar-Syuryun C. B., Babyr N. V. Prediction of the geomechanical state of the rock mass when mining salt deposits with stowing. Journal of Mining Institute. 2022, vol. 253, pp. 61—70. [In Russ]. DOI: 10.31897/PMI.2022.2.

16. Rybak J. M., Kongar-Syuryun C., Tyulyaeva Y., Khayrutdinov A. M., Akinshin I. Geomechanical substantiation of parameters of technology for mining salt deposits with a backfill. Mining Science. 2021, vol. 28, pp. 19—32. DOI: 10.37190/msc212802.

17. Akinshin I., Missal C., te Kamp L. Simulation of pressure and time-dependent behavior of backfill material in numerical calculations. Mining Report. 2017, vol. 153, no. 2, pp. 166—172.

18. Kongar-Syuryun Ch. B., Kovalski E. R. Hardening backfill at potash mines: promising materials regulating stress-strain behavior of rock mass. Geology and Geophysics of Russian South. 2023, vol. 13, no. 4, pp. 177—187. [In Russ]. DOI: 10.46698/VNC.2023.34.99.014.

19. Wang J., Zhang Q., Li M., Liu H., Zhu C. Effect of compressive behaviours of tail salt filling materials on roof deformation in potash mine. Advances in Civil Engineering. 2021, vol. 2021, pp. 1—10.

20. Pokhee N., Thongprapha T., Artkhonghan K., Fuenkajorn K. Consolidation of compacted sludge-crushed salt mixtures as backfill in potash mines. Engineering Journal of Research and Development. 2020, vol. 31, no. 3, pp. 41—48.

21. Sitthimongkol L., Thongprapha T., Fuenkajorn K. Properties of compacted bentonite-aggregate mixtures as backfill in salt and potash mines. Engineering Journal of Research and Development. 2020, vol. 31, no. 1, pp. 45—53.

22. Savich I. N., Zenko D. K., Ainbinder I. I., Savich O. I. To the problem of the classification of the technologies and compositions of the backfilling. MIAB. Mining Inf. Anal. Bull. 2000, no. 1, pp. 186—187. [In Russ].

23. Gospodarikov A. P., Zatsepin M. A. Mathematical modelling of applied problems of rock mechanics and rock massifs. Journal of Mining Institute. 2014, vol. 207, pp. 217—221. [In Russ].

24. Zhuravkov M. A., Nikolaichik M. A., Klimkovich N. M. Estimation of the possibility to decrease the size of the pillars during excavations in vicinity of the shaft. Mining sciences: fundamental and applied issues. 2023, vol. 10, no. 2, pp. 32—39. [In Russ].

25. Zhuravkov M. A., Lopatin S. N. Geomechanics of the deep underground constructions. Neftekhimiya–2021: Materialy IV Mezhdunarodnogo nauchno-tekhnicheskogo foruma po khimicheskim tekhnologiyam i neftegazopererabotke [Petrochemistry–2021: Proceedings of the IV International Scientific and Technical Forum on Chemical Technologies and Oil and Gas Processing], Minsk, BGTU, 2021, pp. 280—283. [In Russ].

26. Kurguzov V. D. Comparing analysis of the failure criteria of the artificiant constuction materials and rocks. Fiziko-tekhnicheskie problemy razrabotki poleznykh iskopaemykh. 2019, no. 5, pp. 79—89. [In Russ]. DOI: 10.15372/FTPRPI20190509.

27. Zhuravkov M. A., Zubovich V. S. Ustoychivost' i sdvizhenie massivov gornykh porod [Stability and displacement of rock massifs], Moscow, RUDN, 2009, 432 p.