An information theory approach to slope stability

Mathematical models based on limit equilibrium methodology have inherent uncertainties associated with: (a) the position of the rupture surface and (b) the stress distribution on it. In order to estimate the conventional factor of safety both of them must be determined. It should be recognized that the choice of each one of them constitutes a decision under uncertainty problem. This paper adopting the limit equilibrium methodology shows how information theory can be used in order to solve the stress distribution decision problem. The stress distribution is shown to depend on an unknown probability- distribution function. For a given rupture surface the unknown probability- distribution function and the corresponding factor of safety are uniquely determined by using the notion of entropy (uncertainty) as criterion for setting up prior probability assignments. An example problem illustrates the procedure and presents comparisons with other well known methods (a).

Language

  • English

Media Info

  • Pagination: 466-76
  • Serial:
    • Volume: 2

Subject/Index Terms

Filing Info

  • Accession Number: 01438045
  • Record Type: Publication
  • Source Agency: ARRB
  • ISBN: 0909796076
  • Files: ATRI
  • Created Date: Aug 24 2012 9:20PM