Study of the Slope Stability Using Analytical Method

It is known that rock collapse occurs due to loss of slope stability. The condition for loss of slope stability is expressed through the stability coefficient. The study of deterministic methods for calculating the stability coefficient and comparison of the results obtained using them (with a view to further selecting one of them for carrying out a probabilistic assessment of the rockfalls) is very important. We investigated the simplified analytical method for calculating the stability coefficient of slopes composed of coarse-grained, sandy or clayey soils with a homogeneous structure. The formula for calculating the slope stability coefficient is based on the method of circular cylindrical sliding surfaces. In addition to taking into account the own weight of the soil prism, it is possible to take into account the seismic impact during an earthquake. Using the analytical method, calculations of the slope stability coefficient were carried out without taking into account the influence of factors and taking into account the seismic impact. The calculation results obtained using the analytical method were compared with the data, obtained using various methods (including methods of dynamic analysis of accelerogram). The stability of the three geomechanical models with slope steepness of 20°, 30° and 40° were considered for a section of the northern slope of the Aibga ridge (Krasnaya Polyana, Sochi, Russia). In general, the calculation results using the analytical method and the calculated data, which were obtained using the various methods are in good agreement. The quantitative coincidence of the compared values (obtained using the analytical method and the methods of the pseudostatic analysis and the dynamic analysis) is observed (the relative difference in the values does not exceed 7%) at relatively low values of the adhesion (less than 15 kPa) and at the slope steepness greater than 20°.