 
          2983
        
        
          Technical Committee 214 /
        
        
          
            Comité technique 214
          
        
        
          this reason, we conducted simulations based on a range of
        
        
          assumed initial conditions and determined the initial conditions
        
        
          that best reproduced the measured settlement. With regard to the
        
        
          permeability coefficient
        
        
          
            k
          
        
        
          , given the high compressibility of the
        
        
          peat layers, we assumed that the void ratio e was related to
        
        
          
            k
          
        
        
          by
        
        
          the expression e=
        
        
          
            C
          
        
        
          ln
        
        
          
            k
          
        
        
          /
        
        
          
            k
          
        
        
          0
        
        
          +e
        
        
          0
        
        
          and, for the other layers, we
        
        
          assumed a constant permeability coefficient. In addition, in
        
        
          order to represent the improvement by SD, we assigned a 100-
        
        
          fold greater permeability to finite elements corresponding to the
        
        
          SD area.
        
        
          3 PREDICTION OF FUTURE SETTLEMENT BEHAVIOR
        
        
          The finite element mesh and boundary conditions are presented
        
        
          in Figure 4. For simplicity, in this analysis, the SD section of
        
        
          Figure 1 was modeled assuming ground stratification.
        
        
          Apt5 (9.5)
        
        
          Apt7 (7.25)
        
        
          Apt6 (5.75)
        
        
          Apt8 (3.0)
        
        
          Ac1-1 (3.0)
        
        
          Ac1-2 (5.0)
        
        
          Ac2u(4.2)
        
        
          Apt3(6.2)
        
        
          Ac2  (3.0)
        
        
          Apt2(1.8)
        
        
          As1(1.2)
        
        
          Left, right and bottom faces:  permeable boundary (assuming artesian conditions)
        
        
          Units(m)
        
        
          7.4m
        
        
          27.3
        
        
          39.0
        
        
          As4
        
        
          (9.5)
        
        
          Dpt
        
        
          (16.0)
        
        
          SD (20m
        
        
          ×
        
        
          60m)
        
        
          68.6
        
        
          85.0
        
        
          Surface of ground and embankment
        
        
          : permeable boundary (atmosphere)
        
        
          SD expansion
        
        
          (
        
        
          34m
        
        
          ×
        
        
          85m)
        
        
          *Actual mesh width was 200m
        
        
          Figure 4. Finite element mesh (after embankment construction).
        
        
          10
        
        
          -1
        
        
          10
        
        
          0
        
        
          10
        
        
          1
        
        
          10
        
        
          2
        
        
          13
        
        
          12
        
        
          11
        
        
          10
        
        
          9
        
        
          8
        
        
          7
        
        
          6
        
        
          5
        
        
          4
        
        
          3
        
        
          2
        
        
          1
        
        
          0
        
        
          1
        
        
          2
        
        
          3
        
        
          4
        
        
          5
        
        
          6
        
        
          7
        
        
          8
        
        
          Time (years)
        
        
          Settlement (m)
        
        
          Embankment height (m)
        
        
          Measurement of pore pressure
        
        
          Apt8
        
        
          Apt7
        
        
          Apt6
        
        
          Apt5
        
        
          Ac2
        
        
          Apt3
        
        
          Ac2u
        
        
          Ac1-2
        
        
          Ac1-1
        
        
          As1
        
        
          Apt2
        
        
          Measurement
        
        
          Simulation
        
        
          60
        
        
          55
        
        
          50
        
        
          45
        
        
          40
        
        
          35
        
        
          30
        
        
          25
        
        
          20
        
        
          15
        
        
          10
        
        
          5
        
        
          0
        
        
          -5
        
        
          0 200 400 600
        
        
          Dg
        
        
          Embankment
        
        
          Simulation
        
        
          Measurement
        
        
          Initial condition
        
        
          Pore water pressure
        
        
          
            u
          
        
        
          (kPa)
        
        
          Depth (m)
        
        
          Ac1
        
        
          Apt8
        
        
          Apt7
        
        
          Apt6
        
        
          Apt5
        
        
          Ac2
        
        
          Apt3
        
        
          Ac2u
        
        
          Apt2
        
        
          As1
        
        
          (a)Prediction of  future settlement           (b)Distribution of pore pressure
        
        
          Figure 5. Simulation results (directly below the embankment center).
        
        
          Figure 5(a) shows the predicted settlements at ground surface
        
        
          and for all layers directly below the center of the embankment.
        
        
          After adjusting the initial conditions and permeability
        
        
          coefficients to reproduce the observed settlement values, the
        
        
          simulation was allowed to continue to predict future settlement
        
        
          behavior. According to this analysis, additional residual
        
        
          settlement on the order of 1.5 m is expected to occur over the
        
        
          next 70 years. Figure 5(b) shows a comparison of the measured
        
        
          and simulated pore water pressure approximately 1,400 days
        
        
          after the entry of embankment loading (dotted line in Figure
        
        
          5(a)). It can be seen that the simulation closely reproduces the
        
        
          distribution of excess pore pressure. Although the initial high
        
        
          void ratio for the deep peat layers experiences an rapid
        
        
          compression as a result of embankment loading, after a certain
        
        
          degree of volume compression has occurred, the layers then
        
        
          exhibit extremely poor permeability and have trouble
        
        
          dissipating excess pore pressure. Consequently, large settlement
        
        
          continues over a long term in these layers.
        
        
          4 COUNTERMEASURES FOR SOFT PEAT GROUND
        
        
          4.1
        
        
          
            Effect of ground improvement using SD method
          
        
        
          We evaluated the effect of SD on the test embankment ground
        
        
          by simulating the following three cases:
        
        
          Case 1: Simulating the actual SD-improved area of the test
        
        
          embankment (20 × 60m (L ×W))
        
        
          Case 2: No SD-improvement
        
        
          Case 3: Expanding the SD-improved area in accordance with
        
        
          specific site conditions. (34 × 85 m (L × W), i.e., the entire area
        
        
          directly under the embankment down to the Apt5 layer)
        
        
          In each case, based on actual records at the construction site, the
        
        
          simplest construction history was used (constant increasing the
        
        
          embankment thickness at a rate of 2.35 cm/day).
        
        
          Although the magnitude of the settlement during initial
        
        
          embankment construction is lowest in Case 2, it was shown that
        
        
          because the poor permeability induces shear deformation under
        
        
          undrained condition, large-scale circular slip extends to the deep
        
        
          ground layers below the embankment center (Figure 6). From
        
        
          this result, it appears that ground improvement using SD in this
        
        
          area was effective in preventing catastrophic slip failure.
        
        
          0
        
        
          10
        
        
          20
        
        
          over 30(%)
        
        
          Figure 6 Circular slip during loading (Case 2: No SD-improvement)
        
        
          10
        
        
          -1
        
        
          10
        
        
          0
        
        
          10
        
        
          1
        
        
          10
        
        
          2
        
        
          13
        
        
          12
        
        
          11
        
        
          10
        
        
          9
        
        
          8
        
        
          7
        
        
          6
        
        
          5
        
        
          4
        
        
          3
        
        
          2
        
        
          1
        
        
          0
        
        
          10
        
        
          -1
        
        
          10
        
        
          0
        
        
          10
        
        
          1
        
        
          10
        
        
          2
        
        
          2
        
        
          1.5
        
        
          1
        
        
          0.5
        
        
          0
        
        
          Time (years)
        
        
          Settlement (m)
        
        
          End of loading
        
        
          Case 1: 20
        
        
          ×
        
        
          60m
        
        
          Start of
        
        
          resifural settlement measurement
        
        
          2 years
        
        
          =55cm
        
        
          Difference of
        
        
          total settlement
        
        
          Residual settlement (m)
        
        
          87cm
        
        
          159cm
        
        
          Time since start of residual settlement measurements (years)
        
        
          Case 3: 34
        
        
          ×
        
        
          85m
        
        
          SD-improved area (L
        
        
          ×
        
        
          W)
        
        
          Figure 7 Comparison of SD-improvement area.
        
        
          Case 3 resulted in stability, particularly of the deep peat layers,
        
        
          and early settlement convergence. Figure 7 shows the settlement
        
        
          for Cases 1 and 3. The residual settlement starting at a point 2
        
        
          years (assuming the entry into service) after embankment
        
        
          construction is also illustrated in the lower panel. Expansion of
        
        
          the SD-improved area, particularly in the deep peat layers,
        
        
          reduces lateral displacement due to undrained shear deformation
        
        
          and settlement associated therewith. The total settlement is
        
        
          reduced by 55 cm across the entire area of ground under the