Soil Slope Stability Analysis Based On Random Field

Slope stability analysis in geotechnical engineering is a very classic problem, and the problem is often encountered in real projects. Reasonable and accurate slope stability analysis is an evaluation of the development trend of slope stability. Because of the safety factor of traditional limit equilibrium analysis methods failed to adequately consider the uncertainties of soil parameters, so the introduction of random field theory is very important in slope stability analysis.This paper introduced the reliability analysis methods which based on the traditional methods. Firstly, it analyzes the influence of the coefficient of variation of soil parameters on reliability index of slope by combining traditional methods and reliability analysis methods; Secondly, it simulate the actual situation of soil parameters with random field and combine the finite element analysis method to assess the stability of the slope. The main results are as follows:(1) Determine the relationship between the variation coefficient of soil parameters and the reliability index of slope. Combined Bishop method and Monte-Carlo method to analysis the impact on the reliability index of soil parameters, which achieve the analysis process through Matlab programming. The reliability index of slope was negatively correlated with coefficient of variation coefficient of soil parameters.(2) Based on the random field theory of stochastic finite element to assess the stability of the slope. Do Random field discrete and finite element division on the slope. The parameter values that obtained from random sampling of the known distribution were assigned to local average unit of random field and calculated displacement, stress, factor of safety. The safety factor finally calculated is compared with the conventional method. By the results and accuracy verify the feasibility of this method. By separately considering the spatial variability of elastic modulus, cohesion and internal friction angle can found: The maximum x direction displacement is at the toe of the slope and gradually decreases from left to right. The maximum y direction displacement is at top of the slope and then gradually decreases from top to bottom. The distribution of the maximum principal stress is substantially parallel to crest。The distribution of the minimum principal stress occur apparent deflection when near the slope. The closer the slope is more parallel to the slope, but it is substantially parallel with the top of the slope away from the slope.