 
          940
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          2 EXPERIMENTAL PROGRAM
        
        
          In total, 12 isotropically consolidated drained (CD) triaxial tests
        
        
          were performed on consolidated kaolin specimens having a
        
        
          diameter of 7.1 cm and a length of 14.2 cm. Tests were
        
        
          conducted on control specimens and specimens that were
        
        
          reinforced with single sand columns having diameters of 2cm,
        
        
          3cm, and 4cm with a column penetration ratio H
        
        
          c
        
        
          /H
        
        
          s
        
        
          of 0.75.
        
        
          The 2-cm, 3-cm, and 4cm diameter columns represent area
        
        
          replacement ratios A
        
        
          c
        
        
          /A
        
        
          
            s
          
        
        
          of 7.9%, 17.8%, and 31.5%
        
        
          respectively. All sand columns were placed in pre-drilled holes
        
        
          in the center of the clay specimens. All specimens were
        
        
          saturated using a back pressure of 310 kPa and isotropically
        
        
          consolidated under effective confining pressures of 100, 150, or
        
        
          200 kPa. In all tested specimens, the measured “B” value was
        
        
          greater than 0.96 indicating an adequate degree of saturation.
        
        
          Samples were then sheared in drained conditions at a strain rate
        
        
          of 0.25% per hour (~0.06mm/min). All tests were terminated at
        
        
          a maximum axial strain of about 12%.
        
        
          
            2.1. Material Properties
          
        
        
          The clay used in the testing program is a kaolin clay with a
        
        
          liquid limit of 55.7%, a plasticity index of 22.4%, and a specific
        
        
          gravity of 2.53. Consolidation and strength properties for the
        
        
          clay are presented in Najjar et al. (2010). Ottawa sand which
        
        
          classifies as poorly graded sand (SP) according to the Unified
        
        
          Soil Classification System was used to construct the sand
        
        
          columns. For sand specimens prepared at a dry density of 16.2
        
        
          kN/m
        
        
          3
        
        
          (relative density of 44%), Najjar et al. (2010) reported an
        
        
          effective peak friction angle of 33
        
        
          o
        
        
          based on consolidated
        
        
          undrained triaxial  tests with pore pressure measurement. In this
        
        
          study, isotropically consolidated drained triaxial tests were
        
        
          conducted on sand specimens with a height of 14.2 cm and a
        
        
          diameter of 7.1 cm at confining pressures of 100, 150, and 200
        
        
          kPa to determine the friction angle of the sand. The resulting
        
        
          effective friction angle was found to be equal to 35
        
        
          o
        
        
          . The
        
        
          difference between the measured effective friction angles from
        
        
          the CU+U and CD tests could be attributed to the respective
        
        
          mean effective stresses at failure which were an order of
        
        
          magnitude greater for the undrained tests.
        
        
          
            2.2. Sample Preparation
          
        
        
          Kaolin clay powder was mixed with water at a water content of
        
        
          100% (i.e. 1.8 times its liquid limit) to form a slurry. The slurry
        
        
          was then poured into custom-fabricated consolidometers in
        
        
          preparation for one-dimensional consolidation. Dead weights
        
        
          were used to consolidate the specimens from slurry to a vertical
        
        
          effective stress of 100 kPa. The water content at the end of the
        
        
          consolidation stage was relatively uniform (~53%) throughout
        
        
          the depth of the sample. The average bulk density for all the
        
        
          clay specimens prepared was about 16 kN/m
        
        
          3
        
        
          . A detailed
        
        
          description of the sample preparation and testing procedure is
        
        
          presented in Najjar et al. (2010).
        
        
          The sand columns were formed from Ottawa sand at a dry
        
        
          density of about 16.2 kN/m
        
        
          3
        
        
          . These sand columns were
        
        
          prepared by pouring 3 layers of dry Ottawa sand in cylindrical
        
        
          pre-cut and stitched geosynthetic fabrics. The fabrics were
        
        
          initially inserted in a glass tube having the same inner diameter
        
        
          as the sand column, and the sand layers were densified by
        
        
          vibration. Water was then added to the sand column to reach a
        
        
          water content of about 20%. The saturated sand column was
        
        
          then frozen for 24 hours (Fig. 1a). The geosynthetic fabric was
        
        
          cut and detached from the sand column. The frozen sand
        
        
          column was then inserted into a hole drilled at the center of the
        
        
          clay specimen (Fig. 1b) and allowed to thaw. The reinforced
        
        
          clay specimen (Fig. 1c) was then transferred to the triaxial cell
        
        
          and saturated using a back pressure of 310 kPa.
        
        
          Figure 1. Installation process of sand columns.
        
        
          3 TEST RESULTS AND ANALYSIS
        
        
          The automated triaxial test setup “TruePath” by Geotac was
        
        
          used to conduct CD tests on control and reinforced clay
        
        
          specimens saturated at a back pressure of 310 kPa. The samples
        
        
          were then isotropically consolidated under confining pressures
        
        
          of 100, 150, or 200 kPa and sheared drained at a strain rate of
        
        
          0.25% per hour, while measuring volume change through drain
        
        
          lines connected to the porous stones at the top and bottom of the
        
        
          sample. The measured volume change reflects a global change
        
        
          in the composite sample and do not provide information on
        
        
          local changes in the water content in the sand column and the
        
        
          surrounding clay. Throughout the tests, the total confining
        
        
          pressure was kept constant as the vertical stress was increased in
        
        
          compression.
        
        
          
            3.1. Mode of Failure
          
        
        
          The mode of failure was characterized by bulging of the clay
        
        
          specimen. The bulging was slight and relatively uniform along
        
        
          the height in samples reinforced with the smallest area
        
        
          replacement ratio of 7.9% (see Fig. 2a). As the area replacement
        
        
          ratio increased, the bulging was significant and concentrated in
        
        
          the lower half of the clay specimen, indicating stress and strain
        
        
          concentration in the unreinforced portion of the specimen. For
        
        
          the largest area replacement ratio of 31.2%, clearly defined
        
        
          shear planes formed in the lower half of the sample as indicated
        
        
          in Fig. 2c.
        
        
          To investigate the mode of failure of the sand columns, the
        
        
          same test specimens were split along their vertical axes to
        
        
          expose the columns and the surrounding clay (Figs. 2a-2c). The
        
        
          figures indicate that relatively uniform bulging of the sand
        
        
          columns occurred with depth, with the specimens at the higher
        
        
          area replacement ratios showing signs of punching of the sand
        
        
          columns into the unreinforced clay.
        
        
          
            3.2. Stress-Strain Response
          
        
        
          The variation of the deviatoric stress and volumetric strain with
        
        
          axial strain is presented in Figs. 3, 4, and 5 for tests with
        
        
          replacement ratios of 7.9, 17.8, and 31.2%, respectively. The
        
        
          stress-strain curves exhibited consistent increases in deviatoric
        
        
          stresses with strains as the samples were sheared towards
        
        
          critical state conditions. In this paper, failure is defined at an
        
        
          axial strain of 12%, which is the maximum strain measured.
        
        
          (a) A
        
        
          
            c
          
        
        
          /A
        
        
          
            s
          
        
        
          = 7.9%         (b) A
        
        
          
            c
          
        
        
          /A
        
        
          
            s
          
        
        
          = 17.8%     (c) A
        
        
          
            c
          
        
        
          /A
        
        
          
            s
          
        
        
          = 31.2%
        
        
          Figure 2. Internal and external modes of failure.