 
          1502
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          In the numerical simulation, the process of shaking is
        
        
          represented via dynamic soil-water coupled analysis, while the
        
        
          process of EPWP dissipation is simulated via static
        
        
          consolidation analysis. As the whole process is continuous, it
        
        
          should be simulated as an ongoing sequence. The simulation is
        
        
          divided into two stages as follows: (a) dynamic analysis is
        
        
          conducted for 280 seconds until shaking stops, and (b)
        
        
          consolidation is conducted over a period representing 150 years
        
        
          until EPWP dissipates completely. The initial stress field is
        
        
          calculated in advance via self-weight static analysis, and the
        
        
          values of initial stress for each element are shown in Figure 13.
        
        
          The value of the initial OCR is based on that of the initial stress
        
        
          and the clay’s consolidation yield pressu
        
        
          re. Figure 7 shows the
        
        
          input wave used in the simulation as applied at the bottom of
        
        
          the analytical domain. Stiffness proportional damping with a
        
        
          ratio of 5% was applied for the damping model, and the
        
        
          Newmark-
        
        
          
        
        
          method was used for time integration.
        
        
          Figures 7 through 9 show time histories of response
        
        
          acceleration at the ground surface, cumulative ground
        
        
          subsidence of the layer from the ground surface to a depth of 23
        
        
          m and the excess pore water pressure ratio (EPWPR). It can be
        
        
          seen from these figures that response acceleration at the ground
        
        
          surface was amplified up to 500 Gal and that slight shaking
        
        
          lasted until 100 sec. Ground subsidence began to gradually
        
        
          increase soon after the shaking finished, showing close
        
        
          correspondence to the observation results, and continued for
        
        
          150 years with a cumulative total of 250 mm. This subsidence
        
        
          was caused by the generation of EPWP in the shallow clayey
        
        
          layer due to shaking, and pressure dissipation took such a long
        
        
          time
        
        
          because of the ground’s low permeability. Although E
        
        
          PWP
        
        
          generation was also observed in the silt layer, cumulative
        
        
          ground subsidence was less than that in the clayey layer because
        
        
          the compression and swelling index values and the degradation
        
        
          parameter of the over-consolidation state were smaller.
        
        
          5 CONCLUSIONS
        
        
          The findings of the study can be summarized as follows:
        
        
          1. Ground subsidence observed before the 2007 Niigata
        
        
          Prefecture Chuetsu-Oki Earthquake was caused by ground
        
        
          water being pumped up.
        
        
          2. The long-term subsidence observed after the quake can be
        
        
          explained by the generation of excess pore water pressure
        
        
          and its slow dissipation. This phenomenon was found to last
        
        
          for a long time due to low permeability and compression
        
        
          softening in the structured clay.
        
        
          3. The seismic intensity of earthquakes has a significant
        
        
          influence on cumulative subsidence.
        
        
          4. Based on the simulation results, excess pore water pressure
        
        
          conditions and ground subsidence can be expected to
        
        
          continue for more than 100 years after the tremblor.
        
        
          6 REFERENCES
        
        
          Asaoka, A., Nakano, M., Noda, T. and Kaneda K. 2000. Delayed
        
        
          compression/consolidation of natural clay due to degradation of soil
        
        
          structure.
        
        
          
            Soils and Foundations
          
        
        
          40(3), 75-85.
        
        
          Hashiguchi, K. and Ueno, M. 1977. Elastoplastic constitutive laws of
        
        
          granular material, Constitutive Equations of Soils.
        
        
          
            Proc. 9th
          
        
        
          
            ICSMFE
          
        
        
          ,
        
        
          
            Spec. Ses. 9 (eds. Murayama, S. and Schofield, A. N.)
          
        
        
          ,
        
        
          
            Tokyo
          
        
        
          ,
        
        
          
            JSSMFE
          
        
        
          , 73-82.
        
        
          Ye, B., Ye, G., Zhang, F. and Yashima, A. 2007. Experiment and
        
        
          numerical simulation of repeated liquefaction-consolidation of sand.
        
        
          
            Soils and Foundations
          
        
        
          47(3), 547-558.
        
        
          Zhang, F., Ye, B., Noda, T., Nakano, M. and Nakai, K. 2007.
        
        
          Explanation of cyclic mobility of soils: Approach by stress-induced
        
        
          anisotropy.
        
        
          
            Soils and Foundations
          
        
        
          47(4), 635-648.
        
        
          Figure 6. Finite element mesh and boundary conditions used in
        
        
          the simulation
        
        
          Figure 7. Time history of response acceleration on the surface
        
        
          Figure 8 Time history of cumulative ground subsidence in the
        
        
          layer from the ground surface to a depth of 23 m
        
        
          Figure 9. Time history of the excess pore water pressure ratio
        
        
          Depth [m] OCR
        
        
          Initialmean
        
        
          effective stress
        
        
          [kPa]
        
        
          1
        
        
          18.42
        
        
          7.5
        
        
          2
        
        
          11.02
        
        
          12.6
        
        
          3
        
        
          7.87
        
        
          17.6
        
        
          4
        
        
          6.11
        
        
          22.7
        
        
          5
        
        
          5.00
        
        
          27.7
        
        
          ele.45
        
        
          6
        
        
          4.23
        
        
          32.8
        
        
          7
        
        
          3.67
        
        
          37.8
        
        
          8
        
        
          3.23
        
        
          42.9
        
        
          9
        
        
          2.89
        
        
          47.9
        
        
          10
        
        
          2.62
        
        
          52.9
        
        
          11
        
        
          2.39
        
        
          58.0
        
        
          12
        
        
          2.20
        
        
          63.0
        
        
          13
        
        
          2.04
        
        
          68.1
        
        
          14
        
        
          1.89
        
        
          73.1
        
        
          15
        
        
          1.81
        
        
          78.4
        
        
          ele.35
        
        
          16
        
        
          1.69
        
        
          83.8
        
        
          17
        
        
          1.59
        
        
          89.2
        
        
          18
        
        
          1.50
        
        
          94.6
        
        
          19
        
        
          1.42
        
        
          100.0
        
        
          20
        
        
          1.35
        
        
          105.5
        
        
          21
        
        
          1.28
        
        
          110.9
        
        
          22
        
        
          2.50
        
        
          117.0
        
        
          23
        
        
          2.50
        
        
          123.9
        
        
          24
        
        
          2.50
        
        
          130.7
        
        
          25
        
        
          2.50
        
        
          137.6
        
        
          ele.25
        
        
          26
        
        
          2.50
        
        
          144.5
        
        
          27
        
        
          2.50
        
        
          151.3
        
        
          28
        
        
          2.50
        
        
          158.2
        
        
          29
        
        
          2.50
        
        
          165.0
        
        
          30
        
        
          2.50
        
        
          171.9
        
        
          31
        
        
          2.50
        
        
          178.8
        
        
          32
        
        
          2.50
        
        
          185.6
        
        
          33
        
        
          2.50
        
        
          192.5
        
        
          34
        
        
          2.50
        
        
          199.3
        
        
          35
        
        
          2.50
        
        
          206.2
        
        
          ele.15
        
        
          36
        
        
          2.50
        
        
          213.1
        
        
          37
        
        
          2.50
        
        
          219.9
        
        
          38
        
        
          2.50
        
        
          226.8
        
        
          39
        
        
          2.50
        
        
          233.6
        
        
          40
        
        
          2.50
        
        
          240.5
        
        
          41
        
        
          2.50
        
        
          247.4
        
        
          42
        
        
          2.50
        
        
          254.2
        
        
          43
        
        
          2.50
        
        
          261.1
        
        
          44
        
        
          2.50
        
        
          267.9
        
        
          45
        
        
          2.50
        
        
          274.8
        
        
          ele.5
        
        
          46
        
        
          2.50
        
        
          281.7
        
        
          47
        
        
          2.50
        
        
          288.5
        
        
          48
        
        
          2.50
        
        
          295.4
        
        
          49
        
        
          -
        
        
          303.2
        
        
          50
        
        
          -
        
        
          312.0
        
        
          Gravel
        
        
          Deep layer
        
        
          clay
        
        
          Silt
        
        
          shaking direction
        
        
          Shallow layer
        
        
          clay
        
        
          -500
        
        
          -250
        
        
          0
        
        
          250
        
        
          500
        
        
          Response
        
        
          Input
        
        
          0 40 80 120 160 200 240 280
        
        
          Response acceleration (gal)
        
        
          Time (sec)
        
        
          0
        
        
          50
        
        
          100
        
        
          150
        
        
          200
        
        
          250
        
        
          300
        
        
          Observaion
        
        
          Calculation
        
        
          Cumulated subsidence (mm)
        
        
          30
        
        
          60
        
        
          90
        
        
          120 150
        
        
          Time (year)
        
        
          0.00
        
        
          0.05
        
        
          0.10
        
        
          0.15
        
        
          0.20
        
        
          0.25
        
        
          0.30
        
        
          0.35
        
        
          0.40
        
        
          45m
        
        
          35m
        
        
          25m
        
        
          15m
        
        
          5m
        
        
          Excess Pore Water Pressure Ratio
        
        
          Time
        
        
          100 200 300
        
        
          (sec)
        
        
          (year)
        
        
          1 30 60 90 120 150