Application of stochastic methods for the strain and stability analysis of a slope

The paper specifies the fundamentals of stochastic simulation Latin Hypercube Sampling Method (LHS) and presents examples of application of this method for the solution of the stress-strain and stability state of the slope. The stochastic simulation methods enable to involve into the calculation the stochastic character of the input parameters. In the first example the stochastic character of shear strength characteristics of soils is considered. The second example takes into account the stochastic character of the basic parameters of dynamic load (frequency and amplitude of the dynamic load) for the solution of dynamic response (stability factor and displacements) of the slope subjected to surface blasting seismic effect. On the basis of the stochastic analysis we can determine the probability of the model response.