 
          1758
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          Table 3:  Geotechnical soil parameters (Different sand soil densities
        
        
          Fig. 5: Calculated vertical effective stress around the Greater
        
        
          Cairo metro tunnel after tunnel construction
        
        
          Soil Parameters
        
        
          Fill
        
        
          Silty-
        
        
          clay
        
        
          Loose
        
        
          sand
        
        
          Medium
        
        
          Sand
        
        
          Dense
        
        
          sand
        
        
          Very
        
        
          Dense
        
        
          Sand
        
        
          Drained Poisson’s Ratio
        
        
          V
        
        
          s
        
        
          0.4
        
        
          0.35
        
        
          0.35
        
        
          0.30
        
        
          0.30
        
        
          0.25
        
        
          Effective Angle of initial
        
        
          Friction(
        
        
          ϕ
        
        
          )
        
        
          �
        
        
          (drained)
        
        
          25
        
        
          26
        
        
          27
        
        
          32
        
        
          38
        
        
          43
        
        
          Modulus Number(m)
        
        
          300
        
        
          350
        
        
          300
        
        
          500
        
        
          800
        
        
          1000
        
        
          Exponent Number(n)
        
        
          0.74
        
        
          0.6
        
        
          0.6
        
        
          0.51
        
        
          0.5
        
        
          0.4
        
        
          Soil density (γ
        
        
          b
        
        
          ) t/m
        
        
          3
        
        
          1.8
        
        
          1.9
        
        
          1.8
        
        
          1.85
        
        
          1.9
        
        
          2.0
        
        
          Coefficient of Lateral
        
        
          Earth Pressure K
        
        
          0
        
        
          0.58
        
        
          0.57
        
        
          0.56
        
        
          0.47
        
        
          0.38
        
        
          0.32
        
        
          Fig. 6: Surface settlement profile obtained by both finite element
        
        
          analysis and surface displacement equation in loose sand (ground
        
        
          loss of 3%, D=12.5 m, Z/D=2.5)
        
        
          Fig. 1:   Cross section along the Greater Cairo Metro tunnel Line 2
        
        
          Fig. 7: Surface settlement profile obtained by finite element
        
        
          analysis and surface displacement equation in medium sand (ground
        
        
          loss of 3%, D=12.5 m, Z/D=2.5)
        
        
          Fig. 2
        
        
          :   2-D finite element model of the Greater Cairo Metro
        
        
          Fig. 3: Gaussian curve for transverse settlement trough and ground
        
        
          loss (After Peck and Schmidt, 1969)
        
        
          Fig. 8: Surface settlement profile obtained by both finite element
        
        
          analysis and surface displacement equation in dense sand (ground
        
        
          loss of 3%, D=12.5 m, Z/D=2.5)
        
        
          Fig.4: Comparison between measured and calculated surface
        
        
          settlements due to metro tunnel construction (case history)
        
        
          Fig. 9: Surface settlement profile obtained by both finite element
        
        
          analysis and surface displacement equation in very dense sand
        
        
          (ground loss of 3%, D=12.5 m, Z/D=2.5)