417
        
        
          Technical Committee 101 - Session II /
        
        
          
            Comité technique 101 - Session II
          
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          numerically calculated curves reach a minimum at a certain
        
        
          ratio t/
        
        
          
        
        
          s where the lowest critical potential differences
        
        
          
        
        
          h
        
        
          crit
        
        
          arise for a constant thickness of the surcharge filter d
        
        
          F
        
        
          . Starting
        
        
          from this minimum, further reduction of the embedment depth t
        
        
          enables higher critical potential differences
        
        
          
        
        
          h
        
        
          crit
        
        
          . The
        
        
          laboratory experiments confirm the findings of the extended
        
        
          theoretical approach of Odenwald and Herten.
        
        
          However, the critical potential differences
        
        
          
        
        
          h
        
        
          crit
        
        
          achieved
        
        
          during laboratory tests are significantly higher than the critical
        
        
          potential differences
        
        
          
        
        
          h
        
        
          crit
        
        
          , calculated by Odenwald & Herten,
        
        
          which lie on the safe side. Moreover, the difference between the
        
        
          results of the experimental series and the theoretical approach
        
        
          increases inversely proportionately with increasing thickness of
        
        
          the surcharge filter (Figure 4).
        
        
          Figure 4. Comparison of test results with the results of the
        
        
          extended theoretical approach
        
        
          Basically the difference between the numerical calculations
        
        
          and the experimental test results is due to the highly simplified
        
        
          unstable block, which is applied in Odenwald and Herten’s
        
        
          calculation approach. Secondly, in the numerical calculations
        
        
          only the weight of the sand and the surcharge filter was
        
        
          recognized as retaining force, frictional forces were neglected.
        
        
          It has to be kept in mind, that when installing a surcharge
        
        
          filter on the pit bottom frictional forces are acting in the shear
        
        
          zone of the surcharge filter and in the base material in critical
        
        
          condition, too.
        
        
          In addition, it was found out, that the size of the unstable
        
        
          block increases with increasing surcharge filter thickness. Since,
        
        
          in conventional procedures for verifying the safety against
        
        
          hydraulic heave, the thickness of the surcharge filter is only
        
        
          considered as additional weight in calculations, but with no
        
        
          impact on the shape and size of the unstable block. These
        
        
          methods do not offer any realistic result if a surcharge filter is
        
        
          installed (Figure 5).
        
        
          To achieve more realistic and therefore, more economic
        
        
          calculation results, an approach that brings the unstable block
        
        
          closer to the realistic failure body and also takes into account
        
        
          the frictional forces in the surcharge filter and in the base
        
        
          material has to be developed.
        
        
          Figure 5. Comparison of test results with the results of the
        
        
          extended theoretical approach
        
        
          The observation of the experiments and the evaluation of
        
        
          the results also showed that the thickness of the surcharge filter
        
        
          has significant influence on the failure mechanism and shape of
        
        
          the unstable block. In order to analyze the hydraulic heave with
        
        
          surcharge filter more detailed, multiple uniaxial flow-tests were
        
        
          carried out.
        
        
          4 UNIAXIAL FLOWED SAND COLUMN
        
        
          To analyze the influence of the surcharge filter thickness on the
        
        
          hydraulic heave more detailed, numerous uniaxial flow-tests
        
        
          were performed. For this purpose a specific apparatus was
        
        
          designed to simulate uniaxial flow through a sand column
        
        
          (Figure 6). A more detailed description of the test materials, the
        
        
          construction of the test rig and the used measurement technique
        
        
          is given in (Schober and Boley 2012).
        
        
          Figure 6. Schematic of flowed cylinder: (1) water pressure
        
        
          sensors, (2) displacement transducers, (3) surcharge filter, (4)
        
        
          filter, (5) perforated plate, (6) water meter, (7) water supply, (8)
        
        
          over fall, (9) staff gauge
        
        
          The aim of the test series was, among other things, to
        
        
          determine investigate the influence of the surcharge filter
        
        
          thickness d
        
        
          F
        
        
          and the relative density D of the test material on the
        
        
          critical hydraulic gradient i
        
        
          crit
        
        
          . The results of the uniaxial flow-
        
        
          tests are used for a better understanding of the results of the
        
        
          hydraulic heave experiments.
        
        
          Altogether, 25 tests were carried out. The relative density
        
        
          was varied between D = 0.1, 0.5 and 0.8. Moreover, the
        
        
          surcharge filter was installed in different sizes, with a thickness
        
        
          of d
        
        
          F
        
        
          = 1, 2, 3, 4, 5 and 6 cm. Tests without a surcharge filter
        
        
          were carried out too. In the test series, different relative