 
          936
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          Table 1. Scaling factor for different physical units.
        
        
          Physical unit
        
        
          Prototype/Model
        
        
          Length W, H, R
        
        
          N
        
        
          Frequency
        
        
          1/N
        
        
          Time
        
        
          N
        
        
          Velocity
        
        
          1
        
        
          Acceleration
        
        
          1/N
        
        
          Wavelength
        
        
          N
        
        
          Dimensionless length W/
        
        
          λ
        
        
          , H/
        
        
          λ
        
        
          , R/
        
        
          λ
        
        
          1
        
        
          Since an unbounded half space soil medium is replaced by a
        
        
          container with limited dimensions, radiation conditions at the
        
        
          boundaries cannot be satisfied perfectly. It is well known that
        
        
          body and surface waves lose the most of their energy after
        
        
          traveling some cycles of motion or wavelengths through the soil
        
        
          (after 3 to 4 wavelength) because of the geometric and material
        
        
          damping. So appropriate container dimensions and the
        
        
          excitation frequency must be selected to reduce these effects. In
        
        
          principle, screen dimensions (width and length) are normalized
        
        
          with respect to the shear wavelength to be comparable at
        
        
          different frequencies.
        
        
          2 TEST BENCH
        
        
          The test bench consists of the following parts:
        
        
          1) The container: a demountable box with a floor, and side
        
        
          walls. The walls are made by deformed galvanized-steel plates
        
        
          with 0.75 mm thickness. Interior of the container, side walls and
        
        
          the floor covered by wooden plates to provide a proper smooth
        
        
          surface.
        
        
          2) The isolating screen: a concrete slab that can be covered by a
        
        
          thin layer of resilient material. The isolating screen is
        
        
          completely embedded in the soil medium.
        
        
          3) The soil: a sieved, dried fine sand.
        
        
          2.1
        
        
          
            The soil treatment
          
        
        
          The container is filled with Mol silica sand with an average
        
        
          grain size (D
        
        
          50
        
        
          ) of 0.26 mm. The sand is properly sieved,
        
        
          washed and then dried.
        
        
          The soil treatment should be (1) repeatable, (2) operator-
        
        
          independent, and should results in (3) a tight tolerance in soil
        
        
          conditions (uniformity of the soil density).
        
        
          Investigation in different soil deposition methods (Miura and
        
        
          Toki 1982, Vaid et al. 1999) have shown that the pluviation
        
        
          method is less operator-dependent and more repeatable than the
        
        
          other methods such as the moist tamping, dry tapping (the sand
        
        
          being poured in layers) and pouring using a hand rotated flask.
        
        
          The density of pluviated specimen depends on (1) the fall
        
        
          height, (2) the depositional intensity, and (3) the uniformity of
        
        
          the sand raining. To provide a uniform density, it has been
        
        
          shown that the pluviation device should be raised continuously
        
        
          with a constant low fall height and a constant drop energy.
        
        
          Since an universal device does not exist for the soil deposition
        
        
          by the pluviation, a pluviation device compatible with the
        
        
          container dimensions has been designed and fabricated. The
        
        
          pluviation device consists of three main parts:
        
        
          1) A tank or reservoir in the upper level to deliver the sand
        
        
          through a nuzzle, 2) A shutter that can be in open/close position
        
        
          to control the deliverance of sand. Shutter consists of a fixed
        
        
          perforated plate and a sliding plate. Opening the sliding plate let
        
        
          the sand to pass through the holes in the perforated plate.
        
        
          3) A diffuser consisting of a guide box with two grids (sieves).
        
        
          The second grid is posed at the lower part of device and its
        
        
          holes have different direction to polarize the drop.
        
        
          The sand delivers from the top by its gravity through the
        
        
          opened-shutter. The minimum fall height can be modified by
        
        
          changing the position of the diffuser respect to the soil surface.
        
        
          Figure 1. The sand deposition by the pluviation technique.
        
        
          As the rate of the sand flow increases, because of the air
        
        
          turbulence, a non-flat surface of the sand is generated. This
        
        
          effect generally happens when the sand is raining with a high
        
        
          flow rate and higher fall height. The air turbulence and non-
        
        
          uniformity can be controlled by reducing the fall height as well
        
        
          as by decreasing the depositional intensity.
        
        
          The sand deposition has been performed using the pluviation
        
        
          device that moves on two rails over the container with a speed
        
        
          of approximately 0.18 to 0.2 m/s. The height of the sand drop is
        
        
          varied from 15 to 20 cm, figure 1.
        
        
          2.2
        
        
          
            Investigation on sand properties
          
        
        
          The sand density has been measured conventionally during
        
        
          pluviation by posing small cylindrical receptacles in different
        
        
          depth. To measure in-situ density, a total of 16 receptacles were
        
        
          installed at different depths: 40 cm, 20 cm and at the surface of
        
        
          the sand. The receptacles were distributed along the container
        
        
          width at distances of 40 cm and 60 cm from the container
        
        
          sidewalls. Results show an average density of 1640 kg/m3 near
        
        
          to the surface, 1685 kg/m3 at 20 cm in depth and 1700 kg/m3 at
        
        
          40 cm in depth.
        
        
          In addition, upon completion of the soil pluviation, the
        
        
          uniformity of the soil stiffness (at the top layer) is examined by
        
        
          the impedance test. The test configuration consists of a small
        
        
          steel foundation, two accelerometers installed on the
        
        
          foundation, and a hammer, figure 2.
        
        
          The foundation response due to several hammer impacts is
        
        
          measured. A set of points on the sand surface has been selected
        
        
          for the impedance test.
        
        
          Figure 3 shows the mobility function of the foundation
        
        
          measured due to the impact hammer test. Results show a
        
        
          resonance frequency range from 120 to 130 Hz at different
        
        
          measurement points.
        
        
          Since the foundation is rigid, the dynamic foundation-soil
        
        
          system can be modeled with a dynamic system with a single
        
        
          degree of freedom with the foundation mass and the soil
        
        
          stiffness.