 
          2729
        
        
          Technical Committee 212 /
        
        
          
            Comité technique 212
          
        
        
          specified at the pile-soil contact surface. The interface
        
        
          parameters were specified as tangential interface.
        
        
          The pile installation process has been simplified to an
        
        
          eventual expansion of the soil from a zero radius up to the 225.5
        
        
          mm. In other words, cavity expansion has been simulated in
        
        
          axisymmetric condition, therefor effects of eventual pile shaft
        
        
          penetration are not considered in this study. The PWP at the end
        
        
          of cavity expansion (U
        
        
          0
        
        
          ) has the maximum magnitude,
        
        
          corresponding to t=0 in the presented results.
        
        
          Validation of the numerical model was done by comparing
        
        
          the numerical model results with the results of instrumented
        
        
          case that is reported by Konrad and Roy (1987).It is noticed that
        
        
          the numerical model predictions compare reasonably well with
        
        
          measurements.For example, Figs. 3 representthe dissipation of
        
        
          EPWP resulted from driving at depth 6.1 m with time. The
        
        
          EPWP at any time t (U
        
        
          t
        
        
          ) is normalized with U
        
        
          0
        
        
          and expressed in
        
        
          percentage. Therefore U
        
        
          t
        
        
          /U
        
        
          0
        
        
          at t=0 is 100% and supposed to
        
        
          approach 0 at sufficiently long periods of time, depending on
        
        
          the permeability of the soil material.  More details of
        
        
          verification process may be found in Haddad et al. (2012).
        
        
          Figure 3.Dissipation of EPWP with time resulted from pile driving at
        
        
          depth 6.1 m.
        
        
          4 ANALYSIS RESULTS
        
        
          The main focus of this study is effect of setup on skin friction.
        
        
          The important factors contributing to variation of skin friction
        
        
          with time are radial effective stress and PWP adjacent to the
        
        
          pile shaft, as far as the effect of dissipation of EPWP is
        
        
          concerned. To account for aging effects, the interface shear
        
        
          strength parameters have been considered. The interface
        
        
          strength parameters have been specified applying the
        
        
          β′
        
        
          reduction factor introduced by Fakharian and Iraji (2010) as:
        
        
          τ
        
        
          int
        
        
          =
        
        
          β′
        
        
          (c
        
        
          ′
        
        
          +
        
        
          σ
        
        
          tan
        
        
          φ′
        
        
          )
        
        
          in which:
        
        
          τ
        
        
          int
        
        
          : shear strength at interface
        
        
          c
        
        
          ′
        
        
          : effective cohesion of adjacent soil
        
        
          φ′
        
        
          : effective angle of internal friction of adjacent soil
        
        
          Figure 4 shows the contour lines of effective radial stress
        
        
          along the pile shaft and up to the boundaries both at the end of
        
        
          initial drive (4a) and after 13 days (4b). It is observed that the
        
        
          radial stress has substantially increased as a result of dissipation
        
        
          of EPWP. Similarly, Fig. 5 presents the PWP at the end of
        
        
          initial drive (5a) and after 13 days (5b).Pore water pressure
        
        
          significantly increased due to the compressibility of the soft
        
        
          soil, except close to the ground surface that the dissipation has
        
        
          occurred rapidly due to short distance to the open boundary.
        
        
          Comparing the results of Figs. 3 and 4 indicate that in zones
        
        
          that higher PWP has been generated at EOID, higher radial
        
        
          effective stress is developed after 13 days that about60% of
        
        
          EPWP has dissipated. Figure 6 presents the variation of
        
        
          effective radial stress with time between initial
        
        
          
            in situ
          
        
        
          condition
        
        
          up to end of EPWP dissipation along the pile shaft. It is of
        
        
          importance to note that the effective radial stress at EOID is
        
        
          considerably greater than initial
        
        
          
            in situ
          
        
        
          condition. This could be
        
        
          attributed to passive stress path outside the expanded cavity
        
        
          zone, indicating compaction of the soil. This requires further
        
        
          investigation with more advanced constitutional models and
        
        
          field measurements. The change in variations at depths of 7.4
        
        
          and 12.4 m is because of soil layer differences.
        
        
          Figure 4.Radial effective stress distribution innumerical model:
        
        
          (a) EOID, (b) BOR after 13 days.
        
        
          Figure 5.Excess pore water pressure distribution in numerical model: (a)
        
        
          EOID, (b) BOR after 13 days.
        
        
          The main objective of this study has been attempting to
        
        
          distinguish between dissipation of EPWP and aging. As an
        
        
          example, variation of shaft capacity with respect to time are
        
        
          plotted in Fig. 7, resulted both from the back-calculation of field
        
        
          PDA tests and model predictions. The PDA test results are
        
        
          available for EOID and 13 days, depicted in Fig. 7 by for four
        
        
          solid square symbols.
        
        
          In the numerical model, adopting a
        
        
          β′
        
        
          of 0.235 has resulted
        
        
          in a good match between the EOID ofPDA test and model
        
        
          prediction. In other words, after the simulation of initial drive
        
        
          (cavity expansion), as an EOID condition,
        
        
          β′
        
        
          was adjusted till
        
        
          the predicted and measured capacities have a good correlation.
        
        
          Then dissipation was allowed for 1, 4, 13 and 50 days (with the
        
        
          same
        
        
          β′
        
        
          ) and the shaft capacity is calculated. The shaft capacity
        
        
          results from this procedure are plotted with green solid line
        
        
          (circled symbols) betweenEOID to 50 days. Considerably lower
        
        
          capacities are resulted compared to the measured capacities.
        
        
          This difference is thought to be attributed to the so-called aging
        
        
          effects.
        
        
          (a)
        
        
          (b)
        
        
          (a)
        
        
          (b)