 
          1660
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          100
        
        
          (NIED, 2011) during the main shock and an aftershock 29
        
        
          minutes later. Surface accelerations were not high, around 160
        
        
          cm/s
        
        
          2
        
        
          to 300 cm/s
        
        
          2
        
        
          , in the liquefied zones. Figure 3 shows the
        
        
          accelerograph at Inage, where boiled sand was observed. The
        
        
          frequency fell to low values after two peaks at 120 sec. and 126
        
        
          sec. This means that a long duration of shaking, around 1
        
        
          minute, might have caused liquefaction at the K-NET Inage site.
        
        
          Shaking continued for a long time after the occurrence of
        
        
          liquefaction.
        
        
          According to inhabitants of the area, the boiling of
        
        
          muddy water was not intense after the main shock, somewhat
        
        
          like an oozing out. However, boiling intensified during the
        
        
          aftershock (Yasuda et al., 2012). Some inhabitants testified that
        
        
          boiling did not occur during the main shock but occurred during
        
        
          the aftershock. The authors conducted cyclic torsional shear
        
        
          tests and some simple analyses to evaluate the effect of the long
        
        
          shaking on the occurrence of liquefaction.
        
        
          Silty sand taken from the boiled sand in Urayasu City was
        
        
          used for the cyclic torsional shear tests. The fines content,
        
        
          maximum void ratio and minimum void ratio were 36%, 1.477
        
        
          and 0.828, respectively. The silty sand was poured into a mold
        
        
          with a relative density of 90 %. Two types of shear wave were
        
        
          applied to the specimen, a sine wave of 20 cycles and the
        
        
          seismic wave recorded during the main shock and the
        
        
          aftershock at the K-NET Urayasu site. In the case of seismic
        
        
          wave, excess pore water pressure increased gradually with shear
        
        
          stress as illustrated in Figure 4. The relationships between the
        
        
          stress ratio
        
        
          
            R
          
        
        
          (τ
        
        
          d
        
        
          /σ’) for the sine wave or
        
        
          
            R
          
        
        
          max
        
        
          (τ
        
        
          max
        
        
          /
        
        
          
            σ
          
        
        
          ’) for the
        
        
          seismic wave and residual excess pore water pressure
        
        
          
            u
          
        
        
          /
        
        
          
            σ
          
        
        
          c
        
        
          ’ are
        
        
          plotted in Figure 5. As
        
        
          
            R
          
        
        
          =0.27 for
        
        
          
            u
          
        
        
          /
        
        
          
            σ
          
        
        
          c
        
        
          ’=1.0 and
        
        
          
            R
          
        
        
          max
        
        
          =0.31 for
        
        
          
            u
          
        
        
          /
        
        
          
            σ
          
        
        
          c
        
        
          ’=1.0, the correction factor
        
        
          
            C
          
        
        
          w
        
        
          according to the JRA
        
        
          standard (JRA, 1996) becomes 0.82. The safety factor against
        
        
          liquefaction
        
        
          
            F
          
        
        
          L
        
        
          and the liquefaction potential
        
        
          
            P
          
        
        
          L
        
        
          were evaluated
        
        
          from the data gathered from boring sites along the 11 soil cross
        
        
          sections shown in Figure 1, under the conditions of
        
        
          
            C
          
        
        
          w
        
        
          =0.82
        
        
          and 1.0. In the estimation,
        
        
          
            R
          
        
        
          L
        
        
          was estimated from SPT
        
        
          
            N
          
        
        
          -values
        
        
          and fines content
        
        
          
            F
          
        
        
          c, using the formula proposed by the
        
        
          technical committee of Urayasu City (Urayasu City, 2012).
        
        
          Figure 6 shows the
        
        
          
            F
          
        
        
          L
        
        
          values evaluated from boring data from
        
        
          Urayasu, where liquefaction occurred. If the
        
        
          
            C
          
        
        
          w
        
        
          is assumed be
        
        
          1.0, most of
        
        
          
            F
          
        
        
          L
        
        
          are estimated to be greater than 1.0, whereas
        
        
          
            F
          
        
        
          L
        
        
          are less than 1.0) if
        
        
          
            C
          
        
        
          w
        
        
          is assumed to be 0.82. Figure 7 compares
        
        
          Figure 2 Ground surface accelerations measured by K-net (NIED,
        
        
          2011) during the main shock and an aftershock 29 minutes later
        
        
          Figure 3 Acceleration wave measured by K-NET Inage during the
        
        
          main shock
        
        
          Tatsumi[TKY017]
        
        
          Main:224.4 Gal
        
        
          After:141.9 Gal
        
        
          Shinonome[TKY016]
        
        
          Main:168.8 Gal
        
        
          After:64.1 Gal
        
        
          Shiohama[TKY020]
        
        
          Main:152.5 Gal
        
        
          After:77.1 Gal
        
        
          Urayasu[CHB008]
        
        
          Main:174.3 Gal
        
        
          After:82.3 Gal
        
        
          Gyotoku[CHB029]
        
        
          Main:166.8 Gal
        
        
          After:87.7 Gal
        
        
          0
        
        
          -100
        
        
          Inage[CHB024]
        
        
          Main:166.8 Gal
        
        
          Chiba[CHB009]
        
        
          Main:187.1 Gal
        
        
          After:80.6 Gal
        
        
          Stress ratio, R (
        
        
          τ
        
        
          /
        
        
          σ
        
        
          ') or
        
        
          Rmax (
        
        
          τ
        
        
          max/
        
        
          σ
        
        
          ')
        
        
          Pore water pressure ratio
        
        
          0 0.2 0.4 0.6 0.8 1
        
        
          0.1
        
        
          0.2
        
        
          0.3
        
        
          0.4
        
        
          Urayasu sand
        
        
          Dr=90%
        
        
          Sine wave
        
        
          Seismic wave
        
        
          Figure 5 Relationship between shear stress ratio and excess pore
        
        
          water pressure
        
        
          0
        
        
          5 10 15 20
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          
            P
          
        
        
          L
        
        
          (
        
        
          
            C
          
        
        
          w=1.0)
        
        
          
            P
          
        
        
          L
        
        
          (
        
        
          
            C
          
        
        
          w=0.82)
        
        
          Shinonome1-1'
        
        
          Shinkiba1-1'
        
        
          Shinkiba2-2'
        
        
          Urayasu1-1'
        
        
          Urayasu2-2'
        
        
          Urayasu3-3'
        
        
          Funabashi1-1'
        
        
          Narashino1-1'
        
        
          Narashino2-2'
        
        
          Chiba MIhama1-1'
        
        
          Chiba Mihama2-2'
        
        
          Liquefied area
        
        
          Non-Liquefied area
        
        
          K
        
        
          hg
        
        
          (A
        
        
          max
        
        
          /g) is
        
        
          assumed as 0.18
        
        
          Figure 7 Effect of
        
        
          
            C
          
        
        
          W
        
        
          on
        
        
          
            P
          
        
        
          L
        
        
          Figure 4 Time histories of shear stress, shear strain and excess pore
        
        
          water pressure
        
        
          -20
        
        
          -10
        
        
          0
        
        
          10
        
        
          20
        
        
          -4
        
        
          -2
        
        
          0
        
        
          2
        
        
          4
        
        
          0
        
        
          0.2
        
        
          0.4
        
        
          0.6
        
        
          0.8
        
        
          1
        
        
          Recorded
        
        
          acceleration
        
        
          A (cm/s
        
        
          2
        
        
          )
        
        
          Shear stress
        
        
          τ
        
        
          (kN/m
        
        
          2
        
        
          )
        
        
          Shear strain
        
        
          γ (%)
        
        
          Pore water
        
        
          pressure
        
        
          Ratio (u/σ’)
        
        
          R
        
        
          max
        
        
          =τ
        
        
          max
        
        
          /σ
        
        
          ’=0.330
        
        
          Main
        
        
          shock
        
        
          Aftershock
        
        
          Residual P. P. R.
        
        
          K-NET Urayasu
        
        
          Figure 6 Analyzed
        
        
          
            F
          
        
        
          L
        
        
          at liquefied sites in Urayasu City
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          0
        
        
          1
        
        
          2
        
        
          
            F
          
        
        
          L
        
        
          Depth(GL.-m)
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          0
        
        
          1
        
        
          2
        
        
          
            F
          
        
        
          L
        
        
          Depth(GL.-m)
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          0
        
        
          1
        
        
          2
        
        
          
            F
          
        
        
          L
        
        
          Depth(GL.-m)
        
        
          Mihama 3-chome
        
        
          Imagawa 2-chome
        
        
          Takasu
        
        
          B
        
        
          F
        
        
          As
        
        
          Ac
        
        
          B
        
        
          F
        
        
          As
        
        
          Ac
        
        
          B
        
        
          F
        
        
          As
        
        
          Ac
        
        
          Dep (m)
        
        
          
            C
          
        
        
          w
        
        
          =1.0
        
        
          
            C
          
        
        
          w
        
        
          =0.82