Incorporating Parameter Variability in Rock Mechanics Analyses: Fuzzy Mathematics Applied to Underground Rock Spalling |
| |
| Authors: | John P Harrison John A Hudson |
| |
| Institution: | (1) Department of Earth Science and Engineering, Imperial College, London, SW7 2AZ, UK |
| |
| Abstract: | Although fuzzy analysis has been widely developed, its use in rock mechanics and rock engineering is limited. Here, it has
been used to evaluate the potential for underground rock spalling at the boundary of a circular excavation in terms of rock
strength and in situ rock stress, given the uncertainty in both of these input parameters. Using standard techniques from
fuzzy mathematics, we develop an expression for the fuzzy factor of safety, and extend this to form the crisp parameters Safety
Certainty Value and its complement, the Failure Certainty Value. Plots of the Failure Certainty Value in terms of the in situ
stress ratio and rock strength/stress ratio show the effect of uncertainty on the assessment of stability. From these plots,
we illustrate how the relative importance of uncertainty in the input parameters can be assessed, with the associated ramifications
for site investigation and subsequent engineering design. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
