564
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          decreased with the decrease of the initial water content for
        
        
          the saturated “cohesive” soil. Briaud et al. (1999, 2001 and
        
        
          2004) presented a method termed SRICOS for predicting
        
        
          scour in “cohesive” soils, with such an approach being the
        
        
          most comprehensive to date in literature.
        
        
          Scouring experiments around cylinders using “clay”–
        
        
          sand mixtures were carried out by Hosny (1995), Ansari et al.
        
        
          (2002), and Debnath and Chaudhuri (2010a, 2010b), among
        
        
          others, with fines fraction in the range of 0.05–0.4, 0.1–0.6,
        
        
          0.2–1.0 and 0.05–0.35, respectively. Hosny (1995), and
        
        
          Debnath and Chaudhuri (2010a, 2010b) concluded that
        
        
          maximum scour depth decreases with the increase of “fines”
        
        
          content whereas Ansari et al. (2002) indicated that the
        
        
          maximum equilibrium scour depth in sediments with fine
        
        
          contents could be higher than that of non-cohesive sediments
        
        
          under similar experimental conditions. Perhaps one reason
        
        
          for the difference in conclusions is attributed to the nature of
        
        
          fine being used in the study. In Ansari et al.’s (2002) study,
        
        
          the soil is reported as having zero Plasticity Index (PI). Table
        
        
          1 shows several empirical equations to estimate scour depth,
        
        
          with the corresponding fines fraction and Froude number
        
        
          range for their applicability. The equations proposed by
        
        
          Hosny (1995), and Debnath and Chaudhuri (2010a, 2010b)
        
        
          are only applicable for a rather narrow Froude number (i.e.
        
        
          0.13 – 0.33) range, in comparison to Ansari et al.’s (2002)
        
        
          range.
        
        
          Table 1. Empirical Equations for Estimating Scour Around Bridge Piers for Soils with Fine Contents
        
        
          
            Reference
          
        
        
          
            Equation
          
        
        
          
            Conditions
          
        
        
          
            Comment
          
        
        
          Hosny (1995)
        
        
          d
        
        
          s
        
        
          /b =18.9(F
        
        
          r
        
        
          /(1+C))
        
        
          2
        
        
          C ≤ 0.4 and
        
        
          0.18 ≤ F
        
        
          r
        
        
          ≤ 0.33
        
        
          b = pier diameter, F
        
        
          r
        
        
          = Froude number = V/(gd)
        
        
          0.5
        
        
          , V =
        
        
          approach flow velocity, g = gravitational acceleration,
        
        
          d = depth of flow and C = clay fraction.
        
        
          Ansari et al.
        
        
          (2002)
        
        
          d
        
        
          smc
        
        
          /d
        
        
          sms
        
        
          = 1.51(C
        
        
          *
        
        
          /φ
        
        
          *
        
        
          )
        
        
          0.2
        
        
          PI = 0 and
        
        
          0.16 ≤ F
        
        
          r
        
        
          ≤ 0.69
        
        
          d
        
        
          smc
        
        
          = maximum scour depth for cohesive sediments,
        
        
          d
        
        
          sms =
        
        
          maximum scour depth for cohesionless sediments
        
        
          (estimated using equation proposed by Kothyari et al.
        
        
          (1992)), C
        
        
          *
        
        
          = [%P
        
        
          c
        
        
          . C
        
        
          u
        
        
          ] / [(γ
        
        
          s
        
        
          -γ
        
        
          w
        
        
          ).d
        
        
          a
        
        
          ], φ
        
        
          *
        
        
          = [%P
        
        
          c
        
        
          . tan φ
        
        
          c
        
        
          + (1 – %P
        
        
          c
        
        
          ) * tan φ
        
        
          s
        
        
          ] / tan φ
        
        
          s
        
        
          , %P
        
        
          c
        
        
          = percentage of clay
        
        
          content,  C
        
        
          u
        
        
          = undrained shear strength of soil, γ
        
        
          s
        
        
          = unit
        
        
          weight of soil, γ
        
        
          w
        
        
          = unit weight of water, d
        
        
          a
        
        
          = arithmetic
        
        
          mean diameter, φ
        
        
          c
        
        
          = angle of internal friction for clay
        
        
          and φ
        
        
          s
        
        
          = angle of internal friction for sand.
        
        
          Debnath and
        
        
          Chaudhuri (2010b) d
        
        
          s
        
        
          /b = 8.2F
        
        
          r
        
        
          0.79
        
        
          C
        
        
          -0.28
        
        
          (IWC)
        
        
          0.15
        
        
          (τ
        
        
          s
        
        
          /ρV
        
        
          2
        
        
          )
        
        
          -0.38
        
        
          0.13 ≤ F
        
        
          r
        
        
          ≤ 0.20,
        
        
          W.C. ≤ 0.4, C ≤ 0.4
        
        
          and 0.78 ≤  ≤ 1.65
        
        
          C = clay fraction, IWC = initial water content, τ
        
        
          s
        
        
          = bed
        
        
          shear strength, ρ = density of water,  = V/V
        
        
          cs
        
        
          , V
        
        
          cs
        
        
          is
        
        
          critical threshold velocity for sand and V = approach
        
        
          flow velocity.
        
        
          3 EXPERIMENTAL PROGRAM
        
        
          Testing was conducted in a circular chamber with a diameter
        
        
          of 1.0 m (3.3 ft) and a depth of 1.0 m (3.3 ft). Two 1.5 m long
        
        
          probe sections, with the bottom section fitted with 19 mm
        
        
          truncated tip, were used for testing. Figure 1 shows the probe
        
        
          set up prior to testing.
        
        
          
            3.1 Test Soil
          
        
        
          The test soil was composed of 15% fine grained particles and
        
        
          85% sand by dry weight. Percent dispersion of the fine
        
        
          grained fraction was estimated by performing Double
        
        
          Hydrometer test. Percent dispersion is the ratio of the dry
        
        
          mass of particles smaller than 0.005 mm diameter, without a
        
        
          chemical dispersant, to the same type of data from the
        
        
          hydrometer test but with a chemical dispersant, expressed as
        
        
          a percentage. A dispersion value higher than 50% was
        
        
          obtained for the fine grained soil, and therefore the fine
        
        
          fraction is classified as dispersive. The sand and the fine soil
        
        
          components were mixed thoroughly with an electrical mixer,
        
        
          in a drum, until a uniform mix was obtained. The mixing
        
        
          process was repeated after the soil was transferred to the test
        
        
          chamber (shown in Figure 1).
        
        
          Figure 1. Photograph of the Probe
        
        
          Set Up in the Chamber Prior to
        
        
          Testing
        
        
          The chamber was filled up to 1m mark with the silty sand
        
        
          soil and approximately 0.45 kN weight was applied on the
        
        
          top, to induce consolidation, for a week. Several specimens
        
        
          were then retrieved for physical characterization of the test
        
        
          soil. Initial water content of the mixture ranged of 18% -
        
        
          23%. The results from the particle size analysis for three
        
        
          types of soils are shown in Figure 2, with the test soil
        
        
          designated as “Silty Sand” (all soils have been designated
        
        
          according to Unified Soil Classification System). Table 2
        
        
          shows the physical and strength properties of the test soil,
        
        
          with the undrained strength estimated using the Fall Cone
        
        
          test.