 
          3008
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          Regarding the back-analysis of failures, the uncertainties
        
        
          commented above limit their use.
        
        
          One of the first proposals was due to Singh and Murphy
        
        
          (1990), but with no attempt to reduce the wide ranges of
        
        
          cohesion and friction resulting from real failures.
        
        
          Based on the limited data available at the time, Sánchez et
        
        
          al. (1993) proposed a joint consideration of the results of
        
        
          laboratory and in situ tests and back-analysis of failures. The
        
        
          first ones gave a set of pairs of values of cohesion and friction,
        
        
          increasing with the strain. The real failure cases help to identify
        
        
          the relevant strain level, and reciprocally, the lab tests help to
        
        
          identify the real c/
        
        
          
        
        
          ratio. In situ tests can also give information
        
        
          on that respect. The result is shown in Figure 5.
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          60
        
        
          Back analyses (by 1990)
        
        
          Lab tests (by 1990)
        
        
          Sánchez et al. (1993)
        
        
          Friction angle,
        
        
          
        
        
          (
        
        
          o
        
        
          )
        
        
          Cohesion, c (kPa)
        
        
          Figure 5. Strength parameters. Early design recommendations (Sánchez
        
        
          el al., 1993)
        
        
          In the last two decades, some additional results have been
        
        
          published, from laboratory and in situ tests and from real
        
        
          failures (see, for instance, the compilation by Stark et al. (2009),
        
        
          among others). Considering these data, the recommended values
        
        
          in Figure 5 can be increased. Figure 6 includes the results of
        
        
          failures compiled by Stark et al. (2009), and their recommended
        
        
          values, based on the proposal by Eid et al. (2000).
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          60
        
        
          Back analyses (by 2009)
        
        
          Strain levels (Stark et al., 2009)
        
        
          Stark et al. (2009)
        
        
          Possible new proposal
        
        
          5%
        
        
          10%
        
        
          20%
        
        
          Friction angle,
        
        
          
        
        
          (
        
        
          o
        
        
          )
        
        
          Cohesion, c (kPa)
        
        
          Figure 6. Additional data. Modifications to Figure 5.
        
        
          5 CONCLUSIONS
        
        
          Prior work has shown that it is no easy to obtain the mechanical
        
        
          properties of the waste mass.
        
        
          After merging the data from the revision of existing
        
        
          bibliography and the experience of the U.C. Geotechnical
        
        
          Group, new research is being undertaken in order to establish a
        
        
          method to perform that task during the next three years. The
        
        
          study will be based on the use of field tests, complemented with
        
        
          medium to large scale laboratory direct shear tests. It will cover
        
        
          several landfills, with conventional MSW, together with wastes
        
        
          subjected to mechanical and biological pre-treatment (MBT),
        
        
          introduced in Spain in the last years (projects GEORES-
        
        
          03.2843.64001 and PROMERSU-BIA2012-34956).
        
        
          The study will be performed in several landfills. In parallel
        
        
          with the test campaign, numerical modelling of the landfills
        
        
          under study will be undertaken to obtain feedback and refine the
        
        
          data acquisition process.
        
        
          After all the data are gathered and the process is considered
        
        
          optimum, a method to obtain the mechanical properties of a
        
        
          landfill using field tests and a new proposal for the design
        
        
          strength parameters will be obtained as a result of the research.
        
        
          6 REFERENCES
        
        
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