MATHEMATICAL SUPPORT OF THE AUTOMATED SYSTEM FOR DETERMINING THE EXTERNAL TENSILE STRESS IN A POTENTIAL BLOCK-SLIDING LANDSLIDE BODY

Аннотация

Ensuring the stability of the slopes of coal open-pit mines is one of the most important tasks in mining engineering. Among the existing dynamic phenomena at coal open pits that disrupt slope stability, block-sliding landslides occupy a special place. Currently, there are a large number of models in the field of predicting landslides of this type. However, these models are unable to determine the magnitudes of tensile stresses, the action of which leads to the formation of main (master) cracks in potential block landslide bodies. It is precisely the critical values of tensile stresses that form the basis for predicting block landslides. As a result of the conducted research, a mathematical model has been proposed that allows solving this problem. The obtained model serves as the foundation for the mathematical support of an automated system for determining the external tensile stress in a potential block-sliding landslide body.

Ключевые слова

Landslide, main crack, landslide prediction, coal mine, deformation properties, tensile stresses, mathematical model, automated system.

Список литературы

1. Eker R., Ayd?n A., Gorum T. Tracking deformation velocity via PSI and SBAS as a sign of landslide failure: an open-pit mine-induced landslide in Himmetoglu (Bolu, NW Turkey). Natural Hazards. 2024;(120):7701-7724. DOI: 10.1007/s11069-024-06533-0.
2. Jia L., Wang J., Gao S., Fang L., Wang D. Landslide risk evaluation method of open-pit mine based on numerical simulation of large deformation of landslide. Scientific Reports. 2023;(13):15410. DOI: 10.1038/s41598-023-42736-4.
3. Pipatpongsa T., Fang K., Leelasukseree C., Chaiwan A. Stability analysis of laterally confined slope lying on inclined bedding plane. Landslides. 2022;(19):1861-1879. DOI: 10.1007/s10346-022-01873-z.
4. Cui F., Xiong C., Wu Q., Zhou Y., Hou C., Fan L., Liu M., Xu H., Pan X. Dynamic mechanism triggering the catastrophic Xinjing Landslide in Alxa, Inner Mongolia, China. Engineering Geology. 2025;(346):107911. DOI: 10.1016/j.enggeo.2025.107911.
5. Wang Q., Xing A., Xu X., Zhou Y., Yang Q., Song H., Peng J., Zhai L., Bilal M., Liu Y. Formation mechanism and dynamic process of open-pit coal mine landslides: a case study of the Xinjing landslide in Inner Mongolia, China. Landslides. 2024;(21):541-556. DOI: 10.1007/s10346-023-02193-6.
6. Zhang F., Peng J., Zhao Y., Chen K., He Q. A homogenized sliding-block model for landslide motion analysis. Journal of Rock Mechanics and Geotechnical Engineering. 2025;17(12):7832-7847. DOI: 10.1016/j.jrmge.2025.02.019.
7. Халкечев Р.К., Халкечев К.В. Математическое моделирование неоднородного упругого поля напряжений породного массива кристаллической блочной структуры // Горный журнал. 2016. № 3. С. 200-205. DOI: 10.17580/gzh.2016.03.05. Khalkechev R.K., Khalkechev K.V. Mathematical modeling of nonuniform elastic stress field of a rock mass with crystalline block structure. Gornyj zhurnal. 2016;(3):200-205. (In Russ.). DOI: 10.17580/gzh.2016.03.05.
8. Халкечев Р.К., Халкечев К.В. Применение теории катастроф для математического моделирования оползневого процесса на вогнутых склонах горных территорий // Устойчивое развитие горных территорий. 2023. Т. 15. № 3. С. 720-726. DOI: 10.21177/1998-4502-2023-15-3-720-726. Khalkechev R.K., Khalkechev K.V. Application of catastrophe theory for mathematical modeling of landslide process on concave slopes of mountain territories. Ustojchivoe razvitie gornykh territorij. 2023;15(3):720-726. (In Russ.). DOI: 10.21177/1998-4502-2023-15-3-720-726.
9. Халкечев Р.К., Халкечев К.В. Разработка математической модели поверхностного трансляционного оползня с дерном на прямых склонах горных территорий при выпадении атмосферных осадков // Устойчивое развитие горных территорий. 2024. Т. 16. № 1. С. 174-180. DOI: 10.21177/1998-4502-2024-16-1-174-180. Khalkechev R.K., Khalkechev K.V. Mathematical model development of a surface translational landslide with a sod on straight slopes of mountain territories during atmospheric precipitation. Ustojchivoe razvitie gornykh territorij. 2024;16(1):174-180. (In Russ.). DOI: 10.21177/1998-4502-2024-16-1-174-180.
10. Халкечев К.В., Халкечев Р.К., Левкин Ю.М. Математическая модель поля напряжений в целиках с учетом магистральной трещины на угольных месторождениях // Уголь. 2023:(7):56-58. DOI: 10.18796/0041-5790-2023-7-56-58. Khalkechev K.V., Khalkechev R.K., Levkin Yu.M. Mathematical model of the stress field in the pillars with due account taken of the main crack in coal fields. Ugol'. 2023;(7):56-58. (In Russ.). DOI: 10.18796/0041-5790-2023-7-56-58.
11. Халкечев К.В., Левкин Ю.М., Абрамкин Н.И. Разработка математической модели поля напряжений в окрестности магистральной трещины продольного сдвига в кровле горной выработки // Уголь. 2024;(7):52-54. DOI: 10.18796/0041-5790-2024-7-52-54. Khalkechev K.V., Levkin Yu.M., Abramkin N.I. Development of a mathematical model of the stress field in the vicinity of a longitudinal shear main crack in the mine roof. Ugol'. 2024;(7):52-54. (In Russ.). DOI: 10.18796/0041-5790-2024-7-52-54.
12. Халкечев Р.К., Левкин Ю.М., Халкечев К.В. Разработка математической модели поля напряжений в целиках слоистой текстуры на угольных месторождениях // Уголь. 2023;(8):84-96. DOI: 10.18796/0041-5790-2023-8-84-86. Khalkechev R.K., Levkin Yu.M., Khalkechev K.V. Mathematical model development of the stress field in the pillars stratified texture in coal deposits. Ugol'. 2023;(8):84-86. (In Russ.). DOI: 10.18796/0041-5790-2023-8-84-86.