 
          2939
        
        
          Technical Committee 214 /
        
        
          
            Comité technique 214
          
        
        
          distance from the PVD that corresponds to this value. As a
        
        
          result, the dredge/alluvium materials enhanced with PVDs could
        
        
          be viewed (and analyzed) as a soft soil layer enhanced with
        
        
          virtual sand piles. In other words, the soil columns around the
        
        
          PVDs (hereafter, virtual sand piles) develop a drained shear
        
        
          strength during loading, whereas the soil outside the virtual
        
        
          sand piles develops an undrained shear strength response during
        
        
          loading.
        
        
          
            u
          
        
        
          
            e
          
        
        
          
            = R
          
        
        
          
            c
          
        
        
          
            t
          
        
        
          *
        
        
          
            t
          
        
        
          *
        
        
          
            t
          
        
        
          
            u
          
        
        
          d
        
        
          
            u
          
        
        
          
            e
          
        
        
          e
        
        
          –
        
        
          
        
        
          (
        
        
          
            t
          
        
        
          -
        
        
          
            t
          
        
        
          *)
        
        
          d
        
        
          
            u
          
        
        
          
            e
          
        
        
          d
        
        
          
            t
          
        
        
          Figure 3. Pore Pressure Model
        
        
          For the rate of construction (approximately 1 m of fill
        
        
          placed per week) and site-specific soils at this site (
        
        
          
            c
          
        
        
          
            v
          
        
        
          = 0.0022
        
        
          cm
        
        
          2
        
        
          /s), approximately 1.8 million meters of prefabricated
        
        
          vertical drains (PVDs) were installed at a 1.5-m spacing to
        
        
          allow 90% dissipation of the excess pore-water pressures that
        
        
          were generated during construction of the overlying MSE berm
        
        
          within approximately 90 days.  The berm was specified to be
        
        
          constructed 3-m high at a time at a rate of 1 m per week every 3
        
        
          months (90 days).  For a fill unit weight of 19.7 kN, the initial
        
        
          maximum pore pressure was 60 kPa (i.e., 6.1 m of water).  For
        
        
          these conditions, it was estimated that if the average pore
        
        
          pressure generated within a certain distance from the PVD was
        
        
          about 15% of the maximum estimated excess pore pressure, the
        
        
          material could be considered drained.  Based on this, it was
        
        
          estimated that the dredge/alluvium located within a 46-cm
        
        
          radius of the PVDs would be drained during each stage of MSE
        
        
          berm construction.
        
        
          5 STABILITY ANALYSIS
        
        
          The main purpose of the proposed methodology was to allow
        
        
          design engineers to use typical tools for analysis and design
        
        
          (i.e., limit equilibrium based methods).  The HDU methodology
        
        
          expedited the stability analysis during the design stage as it was
        
        
          readily implemented using conventional limit equilibrium
        
        
          methods taking into consideration the soil strengths in the
        
        
          drained and undrained zones. In that way, hundred of different
        
        
          cross-sections were evaluated to optimize the design (i.e.,
        
        
          minimize the MSE berm volume while still providing the same
        
        
          airspace for the same factor of safety). Accordingly, for slope
        
        
          stability analysis using limit equilibrium methods, the
        
        
          dredge/alluvium near the PVDs was considered to be drained
        
        
          with effective stress parameters given by
        
        
          
        
        
          ´ = 34º (obtained
        
        
          from triaxial tests), whereas the area further away from the
        
        
          PVDs was considered undrained with undrained parameters
        
        
          normalized with effective overburden given by
        
        
          
            S
          
        
        
          
            u
          
        
        
          /
        
        
          
        
        
          ´ = 0.29
        
        
          (parameters obtained from an extensive cone penetration tests
        
        
          and field vane shear tests).  Figure 4 shows the soil stratigraphy
        
        
          during construction used inlimit equilibrium analysis.  As
        
        
          shown in this figure, the soft dredge under the MSE berm is
        
        
          modeled as vertical strips of interchanging parameters (drained
        
        
          and undrained) to represent the HDU model. As shown in the
        
        
          model, the width of the soil columns does not need to represent
        
        
          the actual width of the virtual sand column (i.e., 0.92 m in
        
        
          diameter); only the ratio between drained to undrained areas
        
        
          needs to be taken into account.  This can be simply estimated
        
        
          as:
        
        
          100
        
        
          2
        
        
          2
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
            pvd
          
        
        
          
            s
          
        
        
          
            r
          
        
        
          
            D
          
        
        
          
            r
          
        
        
          
            A
          
        
        
          (6)
        
        
          where:
        
        
          
            D
          
        
        
          
            pvd
          
        
        
          is the distance between PVDs and
        
        
          
            r
          
        
        
          
            s
          
        
        
          is the radius of
        
        
          the virtual sand (1.5 m and 0.46 m for this project, respectively).
        
        
          Hence, the percentage of drained area respect to the total area
        
        
          for this project is:
        
        
          %38 100
        
        
          5.1
        
        
          92.0
        
        
          2
        
        
           
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
            r
          
        
        
          
            A
          
        
        
          Hence, when modeling using limit equilibrium methods, as
        
        
          long as the vertical strips represent approximately 38% of total
        
        
          area with PVDs, the actual width of the vertical strips is
        
        
          immaterial. However, the number of vertical strips should be
        
        
          selected in a wayit does not have an influence on the failure
        
        
          mechanism.  For instance, two vertical strips would not be
        
        
          appropriate.  Another powerful application of the HDU model is
        
        
          that PVDs outside the loaded area also have a positive effect on
        
        
          stability as 38% dredge can be modeled using drained
        
        
          parameters, hence increasing the overall shear strength along
        
        
          the potential failure surface.  As shown in Figure 4, the zone
        
        
          with PVDs extended beyond the toe of the MSE berm to
        
        
          increase the factor of safety against sliding during construction.
        
        
          Typical design procedures would only account for the shear
        
        
          strength increase due to the overburden pressure located above
        
        
          the PVDs, hence PVDs outside the MSE berm footprint would
        
        
          not be installed as it would not be considered in the analysis.
        
        
          Figure 4. Limit Equilibrium Model of Enhanced Dredge with PVDs
        
        
          In addition, to improve the stability of the MSE berm during
        
        
          construction, over 200.000 m
        
        
          2
        
        
          of high strength geotextile was
        
        
          installed at the base of the berm.  The strength specified (1.170
        
        
          kN/m) was one of the strongest materials ever manufactured by
        
        
          Tencate at the time of construction.  The proposed solution for
        
        
          foundation improvement was significantly cheaper than DSM.
        
        
          The total cost of installing the PVDs including the high-strength
        
        
          geotextile was approximately $11 million, thus resulting in
        
        
          significant savings from the initial design.  Although more
        
        
          engineering was required for design and construction, the total
        
        
          cost was significantly less than the DSM alternative.
        
        
          6 CONSTRUCTION MONITORING AND MODELING
        
        
          In order to prevent unacceptably high pore pressures from
        
        
          developing, construction was conducted in stages and each
        
        
          stage of berm construction was limited to a 3-m thick lift
        
        
          followed by a 3-month pore pressure dissipation period,
        
        
          estimated initially. To monitor the performance of the
        
        
          foundation during the stages of construction, data was collected
        
        
          from a total of 85 geotechnical monitoring instruments along 17
        
        
          lines spaced approximately 150 meters apart along the length of
        
        
          the MSE berm including 51 piezometers to measure pore
        
        
          pressures generated within the dredge/alluvium during loading
        
        
          at three different depths, 17 settlement sensors to measure the
        
        
          compressibility (i.e., vertical displacement) of the
        
        
          dredge/alluvium during berm construction, and 17 slope
        
        
          inclinometers at the toe of the berm to obtain a profile of
        
        
          horizontal displacement with depth during loading.
        
        
          Although the use of limit equilibrium analysis expedites the
        
        
          analysis during design when dozens of cross sections are
        
        
          analyzed during the design stage, during construction, the
        
        
          recorded displacements (horizontal and vertical) could not be
        
        
          used in conjunction with limit equilibrium methods.  Moreover,