 
          1626
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          0 100 200 300 400 500 600
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          60
        
        
          70
        
        
          80
        
        
          Acceleration (Gal)
        
        
          Cumulative displacement of quay wall (mm)
        
        
          :No improvement(CASE6)
        
        
          :Irregular(CASE7)
        
        
          :Regular(CASE8)
        
        
          effect of the irregular configuration of columns is superior to
        
        
          that of the regular triangular configuration.
        
        
          0 10 20 30 40 50 60 70 80
        
        
          0.0
        
        
          0.2
        
        
          0.4
        
        
          0.6
        
        
          0.8
        
        
          1.0
        
        
          Cumulative displacement of quay wall (mm)
        
        
          Case6
        
        
          Case8
        
        
          Maximum excess pore water pressure ratio
        
        
          :200Gal
        
        
          :500Gal
        
        
          Case7
        
        
          Figure 12. Accumulated residual displacement at the top of the quay
        
        
          wall with or without columnar soil improvement
        
        
          Figure 13. Relationship between maximum excess pore water pressure
        
        
          ratio and cumulative displacement of quay wall
        
        
          5 RESULTS OF QUAY WALL MODEL
        
        
          The interest in this series of tests is focused on the residual
        
        
          deformation of a model quay wall with or without columnar soil
        
        
          improvement in the backfill. This idea is certainly in line with
        
        
          the recent movement towards performance-based seismic design
        
        
          principle.
        
        
          Figure 12 illustrates the lateral displacement that was
        
        
          accumulated at the top of the quay wall with repeated shaking.
        
        
          Obviously the regular configuration of columns reduced the
        
        
          displacement and the irregular configuration achieved even
        
        
          better mitigation. Note that this mitigation is partially because
        
        
          the anchorage was stabilized by the columnar soil improvement.
        
        
          Another reason is the stabilization of the backfill that exerts
        
        
          directly earth pressure on the quay wall.
        
        
          Figure 13 shows the relationships between the ratio of
        
        
          developed excess pore water pressure (% of the initial effective
        
        
          vertical stress) and cumulative displacement of quay wall. The
        
        
          excess pore water pressure ratio is measured (p6 in Fig.2) at
        
        
          350mm depth in the region at the central position of the
        
        
          improved area.
        
        
          It is important that lower pore water pressure is caused by
        
        
          such two mechanisms as 1) greater resistance of sand against
        
        
          liquefaction, and 2) positive dilatancy after large shear
        
        
          deformation of sand. In the present case, Case 6 without
        
        
          improvement shows the lowest pore pressure ratio because of
        
        
          the large shear deformation and positive dilatancy of sand
        
        
          behind the wall. Conversely, the higher pore pressure in Cases 7
        
        
          and 8 is the consequence of reduced soil deformation. It is
        
        
          noteworthy, therefore, that mitigative effects should not simply
        
        
          be evaluated by the magnitude of excess pore water pressure. A
        
        
          similar finding was reported in a former study of the authors’
        
        
          group (Mizutani et al., 1998).
        
        
          6 CONCLUSIONS
        
        
          The mitigation of lateral displacement of liquefied ground was
        
        
          studied by running 1-G model tests with a special interest in the
        
        
          irregular configuration of vertical embedded columns. The
        
        
          following conclusions were drawn from the present study.
        
        
          (1) The sloping ground model tests showed heaving on the
        
        
          upstream side of the improved area. This deformation was
        
        
          induced by the damming effect of the irregular configuration
        
        
          of columns.
        
        
          (2) The triangular configuration did not exhibit such a
        
        
          damming-up effect because its mitigative effect is less
        
        
          significant and passing-through of liquefied sand was easier.
        
        
          (3) Consequently, the lateral displacement was reduced more
        
        
          efficiently by the irregular configuration than by the regular
        
        
          triangular configuration of columns.
        
        
          (4) The irregular installation of columns can better reduce the
        
        
          residual deformation of a quay wall than a conventional
        
        
          regular one because the irregular pattern does not allow free
        
        
          motion of sand so much as the regular pattern.
        
        
          (5) A special care should be taken of pore pressure development
        
        
          when the mitigative effect is evaluated. This is because pore
        
        
          water pressure is possibly made lower by both large
        
        
          deformation and positive dilatancy of sand.
        
        
          7 REFERENCES
        
        
          Koga, Y., Taniguchi, E., Nakasumi, I. and Kurinami, T. 1986. Shaking
        
        
          model tests on prevention liquefaction by means of deep mixing
        
        
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          Suzuki, Y., Tokito, K., Suzuki, Y. and Babasaki, R. 1989. Examples of
        
        
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            Engineering & Equipment
          
        
        
          , Monthly, Vol. 17, No. 9, 87-95. (in
        
        
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          Suzuki, Y., Saito, S., Kimura, T., Kibayashi, M. and Hosomi, H. 1995.
        
        
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          Mizutani, T., Towhata, I., Anai, K., and Nakamura, S. 1998. Shaking
        
        
          table tests on the deformation of sheet pile quay walls induced by
        
        
          liquefaction of the backfill ground,
        
        
          
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          , Vol. 10, No. 2, 1377-1382. (in Japanese).
        
        
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