One of the approaches to assessing the stability of the soil massif within the grid methods
DOI:
https://doi.org/10.32347/2410-2547.2024.113.29-36Keywords:
grid methods, graph theory, slope stability coefficient, slope calculation methods, slope modelling, finite element method, semi-analytical method of finite elementsAbstract
An important stage for creating the possibility of using landslide and landslide-prone territories in economic activity is the assessment of their stability. To solve this difficult task, a significant number of various methods have been developed, each of which has its own advantages and disadvantages. In this work, a method for assessing the stability of slopes within the framework of grid methods is proposed. This method is implemented in a complex with the finite element method, which allows to estimate the stress-strain state and to determine of the stability coefficient and localize the slip surface using grid methods.
The algorithm for using grid methods for this type of problem is given in detail in the paper. Its essence consists of three key stages, the first using the finite element method to determine the acting stresses in the slope. The second is the creation of a grid based on a finite-element model, which makes it quite easy to switch to a grid graph convenient for analysis. The third is the use of algorithms for analyzing graphs and processing the results. At the same time, one of the most important stages for the efficiency of the algorithms for finding the shortest path is the selection of the weight function of the edges of the graph, an example of the use of acting stresses is given in this work.
Also, the work highlights the results of solving several test problems to evaluate their convergence between the proposed and other widespread methods for assessing the stability of slopes. Calculations were carried out with Plaxis 2D PC and Ukis PC, and LIRA-SAPR PC was used to estimate the stress-strain state for the proposed method. The proposed method showed sufficiently high convergence of results with other methods.
References
Solodei I.I., Pavlenko V.M. Vykorystannia teorii hrafiv dlia otsinky stiikosti zsuvnykh I zsuvonebezpechnykh skhyliv (Application graph theory to evaluate the stability of landslide slopes) // Opir materialiv I teoriia sporud: nauk.-tekh. zbirnyk – K.: KNUBA, 2022. – Vyp. 112.– S. 19-27. https://doi.org/10.32347/2410-2547.2024.112.19-27
Solodei I.I., Petrenko E.Yu., Pavlenko V.M. Klasyfikatsiia I prychyny vynyknennia zsuvnykh protsesiv ta metody rozrakhunku skhyliv (Classification and causes of landslide processes and slope calculation methods) // Opir materialiv I teoriia sporud: nauk.-tekh. zbirnyk – K.: KNUBA, 2022. – Vyp. 109.– S. 184-202. https://doi.org/10.32347/2410-2547.2022.109.184-202
Solodei I.I., Petrenko E.Yu., Pavlenko V.M. Osoblyvosti metodiv otsinky stiikosti zsuvnykh ta zsuvonebezpechnykh skhyliv (Features of the methods of the slope stability evaluation.) // Opir materialiv I teoriia sporud: nauk.- tekh. zbirnyk – K.: KNUBA, 2023. – Vyp. 112.– S. 25-38. https://doi.org/10.32347/2410-2547.2023.111.25-38
Solodei I.I., Petrenko E.Yu., Pavlenko V.M. Postanovka zadachi modeliuvannia zsuvnykh protsesiv v plastychnykh gruntakh (Statement of the problem of simulation of shearprocesses in low-colusion plastics soils) // Opir materialiv I teoriia sporud: nauk.-tekh. zbirnyk – K.: KNUBA, 2023. – Vyp. 110.– S. 47-62. https://doi.org/10.32347/2410-2547.2023.110.47-62
Bondy J.A., Murty U.S.R. Graph theory with applications.– New York: Elsevier Science Publishing Co., 1976. – 270p.
Wilson R.J. Introduction to Graph Theory. –Harlow: Longman, 1996 – 179p.
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