 
          1625
        
        
          Technical Committee 203 /
        
        
          
            Comité technique 203
          
        
        
          0
        
        
          100
        
        
          200
        
        
          300
        
        
          400
        
        
          500
        
        
          600
        
        
          Vertical position (mm)
        
        
          -1200
        
        
          CASE1 : No improvement
        
        
          ■ :
        
        
          Inclinometer
        
        
          Initial surface
        
        
          Subsidence
        
        
          -1000 -800 -600 -400 -200 0 200 400 600 800 1000 1200
        
        
          Holizontal position (mm)
        
        
          Uplift
        
        
          lateral deformation by connecting them to a 5 mm-thick plastic
        
        
          boards. By assuming the scale ratio of 1/20, the prototype
        
        
          diameter of the columns is 520 mm. The range of soil
        
        
          improvement (shown by orange color in Fig. 5) is 600 mm in
        
        
          length and 390 mm in width with the improvement ratio of 25%.
        
        
          200
        
        
          380
        
        
          40
        
        
          40
        
        
          40 40
        
        
          40
        
        
          45 45 45 45
        
        
          50
        
        
          0
        
        
          100
        
        
          200
        
        
          300
        
        
          400
        
        
          500
        
        
          600
        
        
          Vertical position (mm)
        
        
          -1200
        
        
          CASE2 : Irregular 25%
        
        
          ■ :
        
        
          Inclinometer
        
        
          Improved area Initial surface Subsidence
        
        
          -1000 -800 -600 -400 -200 0 200 400 600 800 1000 1200
        
        
          Holizontal position (mm)
        
        
          Uplift
        
        
          0
        
        
          100
        
        
          200
        
        
          300
        
        
          400
        
        
          500
        
        
          600
        
        
          Vertical position (mm)
        
        
          -1200
        
        
          CASE4 : Regular 25%
        
        
          ■ :
        
        
          Inclinometer
        
        
          Initial surface Subsidence
        
        
          Improved area
        
        
          -1000 -800 -600 -400 -200 0 200 400 600 800 1000 1200
        
        
          Holizontal position (mm)
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          120
        
        
          140
        
        
          160
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          120
        
        
          140
        
        
          160
        
        
          Lateral displacement (mm)
        
        
          -1200
        
        
          △
        
        
          :CASE1(No improvement)
        
        
          ●
        
        
          :CASE2(Irregular 25%)
        
        
          □
        
        
          :CASE4(Regular 25%)
        
        
          -1000-800 -600 -400 -200 0 200 400 600 800 1000 1200
        
        
          Holizontal position (mm)
        
        
          Lateral displacement (mm)
        
        
          -1200
        
        
          △
        
        
          :CASE1(No improvement)
        
        
          ●
        
        
          :CASE3(Irregular 35%)
        
        
          □
        
        
          :CASE5(Regular 35%)
        
        
          -1000-800 -600 -400 -200 0 200 400 600 800 1000 1200
        
        
          Holizontal position (mm)
        
        
          Improved area
        
        
          Improved area
        
        
          Water
        
        
          Compacted sand (Non-liquefied layer)
        
        
          D
        
        
          r
        
        
          = 85 %
        
        
          100 400
        
        
          Loose sand (Liquefied layer)
        
        
          D
        
        
          r
        
        
          = 40%
        
        
          (mm)
        
        
          Anchorage
        
        
          600
        
        
          Quay wall
        
        
          Improved area
        
        
          2650
        
        
          390
        
        
          Accelerometer
        
        
          Pore water pressure transducer
        
        
          Displacement transducer
        
        
          A1 A2
        
        
          A3
        
        
          P1
        
        
          P4 P7
        
        
          P10
        
        
          P2
        
        
          P5 P8
        
        
          P11
        
        
          P3
        
        
          P6 P9
        
        
          P12
        
        
          Table 2. Similitude law for 1-G model tests
        
        
          Items
        
        
          Model/Prototype
        
        
          Prototype
        
        
          Model
        
        
          Scale(N=20)
        
        
          1/N
        
        
          1
        
        
          0.05
        
        
          Pile diameter
        
        
          1/N
        
        
          520mm
        
        
          26mm
        
        
          Frequency
        
        
          N
        
        
          -0.75
        
        
          1.06Hz
        
        
          10Hz
        
        
          Relative density
        
        
          60% 40%
        
        
          Acceleration
        
        
          1
        
        
          200Gal
        
        
          200Gal
        
        
          Figure 5. Schematic view of quay wall model
        
        
          Figure 6. Vertical shape of anchorage plate (connected with quay wall at
        
        
          top left and right by rods; see white circles there)
        
        
          Table 3. Details of quay wall model
        
        
          Test case
        
        
          CASE6
        
        
          CASE7
        
        
          CASE8
        
        
          Configuration of
        
        
          columns
        
        
          -
        
        
          Irregular
        
        
          Regularly
        
        
          triangular
        
        
          Improvement ratio
        
        
          (%)
        
        
          0
        
        
          25
        
        
          25
        
        
          Maximum
        
        
          acceleration (Gal)
        
        
          200, 500
        
        
          The sheet-pile quay wall was modeled by an aluminum plate
        
        
          having 3 mm thickness and 510 mm height with its width equal
        
        
          to that of the soil box. The bottom of the wall was placed in a
        
        
          socket at the bottom and had no mechanical fixing. This wall
        
        
          was supported by an anchorage.
        
        
          Accelerometers and pore pressure transducers were
        
        
          embedded in the model ground, while acceleration and
        
        
          displacement at the top of the sheet pile wall were recorded as
        
        
          well (Fig. 5). Further, motion picture was taken of the lateral
        
        
          cross section of the ground in which lines of colored sand was
        
        
          installed for easy interpretation.
        
        
          The base shaking is identical with the one in Fig. 4 with the
        
        
          maximum acceleration of either 200 or 500 Gal. For details of 3
        
        
          tests run, see Table 3. Both regular (triangular) and irregular
        
        
          configurations of columns were tested with the improvement
        
        
          ratio of 25 %.
        
        
          4 RESULTS OF SLOPING GROUND MODEL
        
        
          Deformations of testes models are illustrated in Figs. 7-9. While
        
        
          deformation of vertical columns of colored sand in contact with
        
        
          the side window is shown by black lines, the inclinometer data
        
        
          in the central part of the mode is indicated by black dots. First,
        
        
          the deformation of ground without columnar improvement
        
        
          Figure 7. Deformation of sloping ground model of Case1
        
        
          Figure 8. Deformation of sloping ground model of Case2
        
        
          Figure 9. Deformation of sloping ground model of Case4
        
        
          Figure 10. Lateral displacement at the surface at the end of shaking
        
        
          (improvement ratio 25%)
        
        
          Figure 11. Lateral displacement at the surface at the end of shaking
        
        
          (improvement ratio 35%)
        
        
          (Case 1) shows that the most part of deformation occurred in the
        
        
          upper liquefied layer, while the deformation in the unliquefiable
        
        
          base layer is insignificant. The higher upstream side subsided
        
        
          and the lower downstream side uplifted, consequently reducing
        
        
          the slope gradient. Second, the Case 2 test with the irregular
        
        
          column configuration developed uplift in the upstream
        
        
          proximity of the improved area (+200 to +500 mm) probably
        
        
          because the columns reduced and dammed the lateral flow of
        
        
          liquefied sand. This finding is a good contrast with the
        
        
          deformation of Case 4 (triangular configuration) where the
        
        
          lateral flow of liquefied sand was easier. Similar difference was
        
        
          observed in the cases of 35% improvement ratio as well.
        
        
          Figures 10 and 11 compare the lateral displacement at the
        
        
          top (at the surface) of colored sand as indicated by black dots
        
        
          (inclinometers) in Figs. 7 to 9. It is first found that cases with
        
        
          any kind of column configuration (Case 2 to 5) was of less
        
        
          extent of displacement than in Case 1 without columns. Thus,
        
        
          columns mitigate the lateral displacement of liquefied subsoil.
        
        
          Further, the cases with the irregular configuration (Cases 2 and
        
        
          3) showed the displacement even smaller than in the cases of
        
        
          triangular configuration (Cases 4 and 5). Thus the mitigative