 
          2670
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          Based on unconfined compression tests, the shear strength of
        
        
          the improved soil is more than 20 times greater than that of the
        
        
          unimproved soil. One approach for modeling pile I in the
        
        
          improved soil would therefore be to multiply the modulus
        
        
          values of Figure 5 by a factor of 20 for the first 4 m depth. On
        
        
          the other hand, the cement-like properties and mechanical
        
        
          mixing of the CDSM zone suggest the use of a more uniform
        
        
          modulus profile compared to the natural soil profile. These
        
        
          criteria may both be satisfied to some extent by using a modulus
        
        
          profile proportional to the fourth-root of depth (for curve fitting)
        
        
          and starting at 75 MPa at the soil surface. Such a profile will
        
        
          closely follow the natural soil profile below the improved zone.
        
        
          Although Figure 8 affirms that this modulus profile works very
        
        
          well for predicting the stiffened vertical mode for pile I in
        
        
          improved soil, Figure 9 illustrates that the corresponding
        
        
          experimental horizontal-rocking response was very similar for
        
        
          the native and improved soil profiles. Although a larger
        
        
          improved zone would likely be used in practice, the relatively
        
        
          unchanged dynamic lateral response in this study was
        
        
          unexpected considering the significant differences in native and
        
        
          improved soil properties. The similar lateral stiffness may be
        
        
          related to competing effects of a stiffer improved soil zone, but
        
        
          a relaxed state of stress in the surrounding soil due to
        
        
          installation of the CDSM zone, as well as separation between
        
        
          the CDSM region and surrounding soil from concrete shrinkage
        
        
          upon curing. The approximate 2D analytical model of Novak
        
        
          and Aboul-Ella (1978) is unable to incorporate such effects, and
        
        
          further study of more sophisticated 2-zone models may be
        
        
          necessary for modeling the observed behavior.
        
        
          4 CONCLUSION
        
        
          An experimental program was detailed for a series of full-scale
        
        
          pile vibration tests employing random vibration techniques. An
        
        
          approximate numerical elastodynamic model from the literature
        
        
          was employed to model the experimental results. Parametric
        
        
          studies revealed that an account of gapping between the pile and
        
        
          soil may be necessary to accurately model the observed
        
        
          behavior of the pile in unimproved native soft clay. However,
        
        
          the theoretical response was shown to be less sensitive to the
        
        
          modulus profile than to gapping, especially in the horizontal
        
        
          mode of vibration. The experimental response of the pile in soft
        
        
          clay was approximately fit by incorporating gapping over the
        
        
          first 0.3 m and scaling the modulus and damping in the three
        
        
          major soil layers. The vertical response of the pile in the
        
        
          improved cement deep soil mixed zone exhibited an increase in
        
        
          stiffness as expected. However, the horizontal response was
        
        
          relatively unchanged from that of the native soft clay profile. In
        
        
          practice, a larger lateral extent of soil improvement would be
        
        
          used, and a greater improvement in lateral stiffness expected.
        
        
          The numerical model can be fit to the stiffened vertical mode,
        
        
          but cannot simultaneously model the relatively unchanged
        
        
          horizontal stiffness encountered in this study. More
        
        
          sophisticated computational models will be examined to further
        
        
          model the latter behavior.
        
        
          Figure 7.  Comparison between experimental accelerance for pile in
        
        
          unimproved soil and theoretical model using the Hardin & Drnevich
        
        
          modulus profile with modification factors of (0.8 ,0.8, 0.5) for
        
        
          modulus and (10,10,10) for damping from top to bottom layers. Left:
        
        
          vertical response, Right: horizontal response.
        
        
          5 ACKNOWLEDGEMENTS
        
        
          This material is based upon work supported by the National
        
        
          Science Foundation under Grant No. 0936627.  This support is
        
        
          gratefully acknowledged. Any opinions, findings, and
        
        
          conclusions or recommendations expressed in this material are
        
        
          those of the authors and do not necessarily reflect the views of
        
        
          the National Science Foundation. This project was a payload to
        
        
          the NEESR-SG project 0830328. The assistance of the NEESR-
        
        
          SG project teams and the nees@UCLA team is appreciated.
        
        
          Figure 8.  Experimental vertical response for pile in improved and
        
        
          unimproved soils with analytical model prediction for stiffened
        
        
          CDSM zone.
        
        
          Figure 9. Representative experimental results for horizontal pile
        
        
          response in improved and unimproved soils exhibiting minimal
        
        
          difference.
        
        
          6 REFERENCES
        
        
          Ashlock, J.C. and Fotouhi, M.K. (2011). “Characterization of Dynamic
        
        
          Soil-Pile Interaction by Random Vibration Methods: Experimental
        
        
          Design and Preliminary Results”, Proceedings of 2011 NSF
        
        
          Engineering Research and Innovation Conference, Atlanta, Georgia
        
        
          (CMMI
        
        
          Grantee
        
        
          Conference),
        
        
          11 pp.
        
        
        
          Fotouhi, M.K.  and Ashlock, J.C. (2012). “Analysis of Experimental
        
        
          Dynamic Soil-Pile Interaction by Approximate Numerical
        
        
          Solutions ”, 15th WCEE, Lisbon , Portugal
        
        
          Mayne, P. W. (2007). Cone Penetration Testing, NCHRP Synthesis 368.
        
        
          Transportation Research Board, Washington DC.
        
        
          Novak, M. and Aboul-Ella, F. (1978). Impedance Functions of Piles in
        
        
          Layered Media. Journal of the Engineering Mechanics Division.
        
        
          104:6, 643-661.
        
        
          Hardin, B. O. & Drnevich, V. P. (1972). Shear modulus and damping in
        
        
          soils: design equation and curves. J. Soil Mech. Found. Engng.
        
        
          Div., ASCE 98, No. 7, 667–691