ABSTRACT
The random finite element method (RFEM) is applied to the modeling of slope stability problems for engineered structures, with a particular focus on linear infrastructures such as dykes, cuttings, and embankments. RFEM uses random field theory to model the spatial variability of soils and the finite element method to model structure response, and it takes account of the uncertainty arising from incomplete knowledge of the spatial variability by carrying out a Monte Carlo analysis. The output from an RFEM analysis is a distribution of possible responses from which the reliability of a structure may be determined. Through a review of simple illustrative examples and a case history involving a regional dyke in the Netherlands, this chapter provides insight into how geotechnical assessments are affected by soil spatial variability and illustrates why a probabilistic (reliability-based) approach in general is beneficial in geotechnical practice.
