 
          909
        
        
          Technical Committee 104 /
        
        
          
            Comité technique 104
          
        
        
          many factors e.g. the distance between the vertical walls, their
        
        
          length and degree of fixation, the weight of the embankment,
        
        
          the thickness, stiffness and shear strength of the soft soil, the
        
        
          stiffness of the vertical walls and tension membrane and the
        
        
          rel
        
        
          is as mentioned before time and deformation
        
        
          de
        
        
          earth pressure is acting, which
        
        
          rep
        
        
          ry
        
        
          be
        
        
          ign of the vertical walls shall be done
        
        
          for
        
        
          ent origins of tensile
        
        
          educe but at the same time the
        
        
          brane and therefore to tensile forces within the
        
        
          me
        
        
          and reaches
        
        
          its
        
        
          to squeeze out but is hindered by the walls and
        
        
          the
        
        
          n the membrane and may
        
        
          lead to some increased deformation.
        
        
          
            3.3.
          
        
        
          bration of the numerical model measurement
        
        
          dat
        
        
          ität in Bochum, Germany (Jessberger and Güttler,
        
        
          1988).
        
        
          sile stiffness of the horizontal
        
        
          e
        
        
          determined by derivation of the bending
        
        
          used for the validation and
        
        
          calibration of the numerical model.
        
        
          ts can be
        
        
          ation of the latter between each other.
        
        
          A key factor for the design of the system is the knowledge of
        
        
          the earth pressure distribution along the sheet pile walls. This
        
        
          distribution
        
        
          pendent.
        
        
          Due to the low permeability of mostly saturated soft soils the
        
        
          total surcharge load from the embankment during and directly
        
        
          after construction is carried by the pore water pressure. At this
        
        
          moment and under assumed oedometric conditions the
        
        
          additional horizontal pressure equals the vertical pressure from
        
        
          the surcharge, which represents the upper limit regarding the
        
        
          horizontal loading on the vertical elements. With progressing
        
        
          consolidation the additional horizontal pressure decreases until
        
        
          the effective horizontal
        
        
          resents a lower limit.
        
        
          Since the self-regulating system is not infinitly rigid and the
        
        
          loading is not uniform but trapezoidal (Figure 3) the horizontal
        
        
          earth pressure will be in between these two limits at the ve
        
        
          ginning and will decrease with time during consolidation.
        
        
          Due to the deformation of the walls the earth pressure
        
        
          outside the walls will change from the at rest condition to
        
        
          passive earth pressure. Similarly inside the walls the earth
        
        
          pressure will change towards the active earth pressure. It has to
        
        
          be analyzed to which degree the passive and active earth
        
        
          pressure will be activated and how this is influenced by the
        
        
          length and bending stiffness of the vertical elements, the tensile
        
        
          stiffness of the membrane and the relation of the latter between
        
        
          each other. The above described behaviour leads to the
        
        
          conclusion that the maximum bending moment does occur
        
        
          immediately after the construction of the embankment when the
        
        
          total surcharge load from the embankment is carried by the pore
        
        
          water. This means the des
        
        
          undrained conditions.
        
        
          The tensile forces in the tension membrane do also depend
        
        
          on time and deformation. Three differ
        
        
          forces have to be considered (Figure 4).
        
        
          Figure 4: Acting forces in the tensile membrane (qualitative sketch)
        
        
          
            Connection forces:
          
        
        
          Due to the outward movements of the
        
        
          vertical walls a tensile force is developed within the tension
        
        
          membrane.
        
        
          
            Spreading forces:
          
        
        
          Due to the imbalance of the earth
        
        
          pressure in the region of the embankment shoulders spreading
        
        
          forces are generated. These spreading forces are mainly
        
        
          captured by the geotextile.  In case of the installation of the
        
        
          sheet pile walls with an excess length (h
        
        
          k
        
        
          > 0) above the ground
        
        
          level the spreading forces r
        
        
          connection forces increase.
        
        
          
            Membrane forces:
          
        
        
          The settlements of the soft soil due to the
        
        
          embankment weight leads to a geometrical elongation of the
        
        
          tension mem
        
        
          mbrane.
        
        
          For the tension membrane the connection force activated by
        
        
          the wall movements will be at its maximum during and
        
        
          immediately after construction of the embankment. The
        
        
          membrane force will increase during consolidation
        
        
          maximum when consolidation comes to an end.
        
        
          Possibly a further influence on the tensile forces is the heave
        
        
          which can occur in the region of the embankment shoulder
        
        
          when soil tends
        
        
          membrane.
        
        
          The different mechanisms are all interacting and increase or
        
        
          reduce the total tensile force in the membrane.  Furthermore the
        
        
          creep of the tension membrane has to be taken into account,
        
        
          which will lead to reduced stresses i
        
        
          
            System analysis
          
        
        
          Due to the complex and time dependent interaction and the
        
        
          multitude of influencing parameters a comprehensive numerical
        
        
          parametric study is planned for the system analysis. For the
        
        
          validation and cali
        
        
          a is required.
        
        
          A real scale field test would generate the most reasonable
        
        
          data but boundary conditions are hard to control and
        
        
          consolidation takes a long time, which means the
        
        
          reproducibility of the tests would be very low. Small scale tests
        
        
          overcome these drawbacks, but they do not represent the
        
        
          realistic stress fields of the system. The centrifuge technique
        
        
          combines the advantage from field and small scale tests.
        
        
          Realistic stress fields can be generated, boundary conditions are
        
        
          well controlled and consolidation takes considerably less time
        
        
          due to the shorter drainage path. Due to these reasons the
        
        
          system is analyzed in the beam centrifuge Z1 at the Ruhr-
        
        
          Univers
        
        
          
            3.3.1.
          
        
        
          
            Centrifuge tests
          
        
        
          By means of centrifuge tests the earth pressure distribution
        
        
          under varying relations between the bending stiffness of the
        
        
          vertical walls and the ten
        
        
          m mbrane will be analyzed.
        
        
          Therefore the vertical model walls are instrumented with
        
        
          strain gauges and measurements are taken frequently during the
        
        
          staged construction of the embankment and consolidation
        
        
          phases. The measurement data can be transferred into bending
        
        
          moments by conversion factors. The total earth pressure
        
        
          distribution can then be
        
        
          moment distribution.
        
        
          A detailed description of the centrifuge test set-up and
        
        
          execution can be found in Detert et al. (2012).  The results of
        
        
          the centrifuge tests are analyzed and
        
        
          
            3.3.2.
          
        
        
          
            Numerical parameter study
          
        
        
          Numerical methods are a powerful tool in analyzing complex
        
        
          mechanism with varying parameters. The right choice of the soil
        
        
          model is very important for the numerical simulation. The soil
        
        
          model has to be capable of reproducing the significant soil
        
        
          mechanical processes occurring in the system as well as the load
        
        
          history of the construction steps and the centrifuge test
        
        
          procedure. The data obtained from the centrifuge tes
        
        
          used to confirm the choice of the right soil model.