QI Xiao-hui, LI Dian-qing, CAO Zi-jun, et al. Uncertainty analysis of slope stability considering geological uncertainty[J]. 2017, 38(5): 1385-1396.DOI: 10.16285/j.rsm.2017.05.021.
Most reliability analyses of geotechnical structures considering soil heterogeneity mainly focus on inherent variability
namely the heterogeneity in soil parameters. Another type of soil heterogeneity
i.e. geological uncertainty
is not well studied. The geological uncertainty is very common in reality. It appears in the form of one soil layer embedded in another or the inclusion of pockets of different soil types within a more uniform soil mass. Hence
a borehole-based method is proposed to evaluate the uncertainty in probability of failure(Pf) and statistics of factor
of safety(F
S
) for a slope when geological uncertainty is considered. Firstly
different borehole layout schemes are designed using available borehole data. A coupled Markov chain model is constructed to simulate the geological uncertainty. Secondly
slope stability analyses are conducted using a finite element – strength reduction method. Finally
the effect of borehole layout scheme on the uncertainty in F
S
and Pf of a slope is analyzed. The borehole data in Perth
Australia are adopted to illustrate the effectiveness of the proposed method. The results show that the borehole layout scheme has a significant influence on the uncertainty of F
S
and Pf of the slope. The F
S
of the slope in the presence of the geological uncertainty can be described by a Johnson distribution. The Pf and statistics of F
S
do not necessarily vary with the number of boreholes monotonously. The boreholes within the influence zone of slope are the most effective in evaluating the uncertainty in the F
S
. The mean of the F
S
converges to an accurate value as the borehole number increases.