 
          1426
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          4 CONCLUSIONS
        
        
          Levees are very challenging engineering structures to study, in
        
        
          part because they are not typically well-engineered structures.
        
        
          Unfortunately, there is little to no guidance as to how to
        
        
          evaluate the seismic vulnerability of levees. This study focuses
        
        
          on systematically studying the dynamic response of levees and
        
        
          developing a simplified procedure for the evaluation of
        
        
          seismically induced deviatoric displacements for levees. The
        
        
          study was based on levee sites representative of select
        
        
          California Central Valley regions; however, since floodplains
        
        
          tend to generally have similar depositional environments, it can
        
        
          be extended to other regions as long as some of the principal
        
        
          characteristics are still applicable.
        
        
          Three levee sites, with different underlying soil stratigraphy,
        
        
          were studied. There were differences in the dynamic response
        
        
          among the three sites, however these differences were smaller
        
        
          than the variability in response introduced by the input ground
        
        
          motions. A wide range of ground motions were used in an effort
        
        
          to capture not only the average response of levees, but also the
        
        
          variability and its underlying root causes
        
        
          .
        
        
          Four critical sliding surfaces have been selected for the
        
        
          evaluation of permanent seismic deviatoric type displacements.
        
        
          The variability of the seismic coefficients for each surface was
        
        
          found to be related to the degraded site period, indicating that
        
        
          for earth embankments of small heights (~10 m), the overall site
        
        
          response is more important than the response of the sliding
        
        
          mass itself. The seismic displacements were calculated using a
        
        
          decoupled equivalent-linear, Newmark-type approach. The
        
        
          variability of the seismic displacements due to the different
        
        
          ground motions was also significant. It was efficiently reduced
        
        
          however, by normalizing the displacements with regard to the
        
        
          peak ground velocity (PGV) of the input ground motion. The
        
        
          regressions for the normalized displacements showed that PGV
        
        
          is both efficient and relatively sufficient in capturing the
        
        
          important characteristics of the ground motion, when computing
        
        
          seismic slope displacements. The standard deviation of the
        
        
          regressions is on average equal to 0.3 log units. The graph of
        
        
          Figure 8 is recommended for estimating normalized
        
        
          seismically-induced deviatoric displacements for levee sites that
        
        
          have similar stratigraphy and geometry to the three levees in
        
        
          Figure 1. This simplified procedure focuses on seismic slope
        
        
          stability of earthen levees, and is not recommended for other
        
        
          earth embankments that are vastly different from levees (i.e.
        
        
          dams, landfills). Since the soil materials were modeled as
        
        
          equivalent-linear, this procedure should not be extrapolated to
        
        
          PGA values larger than 0.4g.
        
        
          5 ACKNOWLEDGMENTS
        
        
          This study was completed with the financial support provided
        
        
          by the National Science Foundation Graduate Research Studies
        
        
          Fellowship (2004-2007) that was awarded to Dr.
        
        
          Athanasopoulos-Zekkos. The authors would also like to thank
        
        
          Dr. Shewbridge and Dr. Wu for their help in collecting some of
        
        
          the soil data used in the analyses and for their useful comments
        
        
          and insight.
        
        
          6 REFERENCES
        
        
          Athanasopoulos-Zekkos, A., and Saadi, M. (2012) "Ground
        
        
          Motion Selection for Liquefaction Analysis of Earthen Levees",
        
        
          Earthquake Spectra, EERI (in press)
        
        
          Athanasopoulos-Zekkos, A. (2010) “Variability In Earthen
        
        
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          Engineering and Soil Dynamics, May 24-29, 2010, San Diego,
        
        
          CA
        
        
          Athanasopoulos-Zekkos, A. G., (2008) “Select topics on the
        
        
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