Поєднання чисельних методів з підходом на основі теорії графів для оцінювання стійкості схилів

The assessment of slope stability is a complex engineering problem, and the solution requires the selection of a method based on the specific conditions of the studied object. The most common methods have certain shortcomings, therefore the creation of new approaches remains relevant. The stability of buildings and structures in landslide and landslide-prone areas often depends on the stability of the slope itself, therefore, before developing a project for a construction object in such areas, there is a need to determine the slope stability coefficient. The developed and proposed approach based on graph theory can become a convenient tool for solving such problems. In addition, this approach can be easily integrated into computational complexes based on the finite element method, or the assessment can be carried out using a separate software package that uses the results of calculations obtained by the finite element method as input data. The presented work considers the use of such an approach in assessing the stability of a real slope located in the area of Rzhyshchev. The studied site is located on the right bank of the Dnieper River and has long been developed and built up, however, after the completion of three new buildings, landslide processes intensified. On this site, in the period from 2006 to 2014, instrumental studies of the movement of soil masses were carried out using established benchmarks. The study data provide a reliable basis for comparing the calculations of slope stability and predicting its behaviour with the real situation that took place on this slope. The calculation of the stress-strain state of the slope for this problem was carried out using the SATER.SOIL software package, after which the slope stability was assessed using the developed application program using an approach based on graph theory – SATER.LANDSLIDE. Based on the calculations, several potential sliding surfaces were identified, according to which the corresponding stability coefficients were determined. Three different settings were considered, starting from an undeveloped slope and ending with a built-up slope, taking into account technogenic factors of influence. The results obtained are consistent not only with another method for assessing slope stability but also with instrumental studies of this slope over a long period of time.