 
          3282
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            2.1 Flow erosion of overtopping
          
        
        
          When dike is not high enough to flood water level, overtopping
        
        
          will be happened. As most of the dikes are constructed by earth
        
        
          material, soil erosion by the flow of overtopping could cause the
        
        
          failure of the dike.  Although no papers in ISSMGE 2013 have
        
        
          discussed this issue, it is still an important problem in dike
        
        
          engineering. In recently years, some overtopping cases were
        
        
          occurred and have finally led to the failure of the dikes. The
        
        
          dikes failure by Hurricane Katrina in 2005 in New Orleans,
        
        
          Louisiana, USA and Mississippi River levee failures by 2008
        
        
          flood in USA are the typical cases of overtopping dike failure.
        
        
          With occurrence of overtopping, the flow will erode the
        
        
          downstream side of the dike. Normally, soil erosion starts from
        
        
          the downstream toe of the dike, then develops upward to dike
        
        
          crest and finally lend to dike breach. The degree of damage
        
        
          depends on the depth and duration of overtopping as well as the
        
        
          soil properties. For geotechnical engineers, the more concerned
        
        
          issue is the impacts of soil properties on the flow erosion of
        
        
          overtopping. The overall index is the erodibility of the soil.
        
        
          For the soils of dike, most of them are cohesive soil, the
        
        
          erodibility depends on its physic and mechanical properties,
        
        
          which include plasticity, water content, grain size, percent clay,
        
        
          compaction, and shear strength. In the study of soil erosion,
        
        
          Briaud has developed a method to determine the erosion
        
        
          function of a given soil (Briaud 2008). Based on this method,
        
        
          Michelle B. (2011) has conducted detailed investigation on the
        
        
          overtopping failure of Mississippi levee in the flood of June
        
        
          2008 in USA. The studies have presented the levee overtopping
        
        
          case of the Winfield-Pin Oak site that was overtopped and
        
        
          severe erosion led to failure, and the Brevator site that was also
        
        
          overtopped but did not fail. By using Erosion Function
        
        
          Apparatus (EFA) (Briaud 2008), soil properties of plasticity
        
        
          index (PI), D50, and percent relative compaction were
        
        
          combined with EFA results to study the influence of these
        
        
          factors on the erosion resistance of a soil. Figure 1 presents the
        
        
          EFA results for the two levees. From the investigation and
        
        
          studies, it concluded that levee performance is influenced by the
        
        
          flood conditions, the site conditions, and the soil properties.
        
        
          Both sites in this study experienced large levels and durations of
        
        
          overtopping water, but it is proposed that the Brevator site
        
        
          survived because of its vegetative cover and more erosion
        
        
          resistant soils. Erosion is a very complicated phenomenon that
        
        
          cannot be described by any one parameter, but in all cases,
        
        
          dense and consistent native vegetative cover can greatly
        
        
          improve the overall levee performance.
        
        
          Figure 1 EFA results for Winfield-Pin Oak – S1 and Brevator –
        
        
          S3, Michelle B. (2011)
        
        
          
            2.2 Internal erosion
          
        
        
          Internal erosion caused by water seepage inside dike and
        
        
          foundation is a major failure mode of river dike damage.
        
        
          Actually, where there is a water head difference between
        
        
          upstream side and downstream side, there is seepage in the dike.
        
        
          With the rise of water level during flood period, the phreatic
        
        
          line is formed inside the dike and its position gradually rises up.
        
        
          At the same time, the seepage gradient in the dike and subsoil
        
        
          gradually increased. When the actual seepage gradient (J) is
        
        
          lager than the critical gradient of the subsoil (Jc), seepage
        
        
          failure is occurred.
        
        
          As all the seepage failures are driven by hydraulic gradient,
        
        
          it could also be referred as hydraulic failure. The paper of H.
        
        
          Brandl has discussed the hydraulic failure of river dike, which
        
        
          include suffusion, contact erosion and internal erosion. The
        
        
          measures to avoid hydraulic failure are also presented in the
        
        
          paper. As internal erosion in dikes is not visible and difficult to
        
        
          be detected before the failure happened, the method of early
        
        
          diagnosis the possible internal erosion is significant in safety
        
        
          assessment of dikes. The paper of J. Monnet summarized the
        
        
          main methods for detecting dike internal erosion and presented
        
        
          the application of a new in-situ test, the Cross Erosion Test
        
        
          (CET), in Isère and Drac river levees in France.
        
        
          Besides hydraulic conditions, the mechanism, procedure and
        
        
          the result of seepage failure have very close relation with the
        
        
          composition and properties of soil. Normally, dike seepage
        
        
          failures can be classified into 4 types: mass flow (all particles
        
        
          move by the force of flow), piping (fine grains flow though the
        
        
          channels of coarse particles), contact mass flow (erosion along
        
        
          the contact interface) and contact scouring. By analysis
        
        
          characteristics of soil gradation, the mode of seepage failure of
        
        
          each soil could be classified.
        
        
          By large number of laboratory tests of different soils,
        
        
          Chinese scholars have summarized systematic methods to
        
        
          determine seepage mode of different soils.
        
        
          According to the gradation, the non-cohesive soil can be
        
        
          classified into two types: homogeneous (Cu
        
        
          ≤
        
        
          5) and non-
        
        
          homogeneous (Cu > 5). For non-homogeneous soil, it can
        
        
          further be classified into two subtypes: discontinuous gradation
        
        
          soil and continuous gradation soil.
        
        
          For homogeneous soil (Cu
        
        
          ≤
        
        
          5), there is only one failure
        
        
          mode: mass flow. For the non-homogeneous soil (Cu > 5), the
        
        
          failure mode depends on the gradation distribution. For soil
        
        
          with discontinuous gradation, the failure mode is determined by
        
        
          the content of fine grains (P). If P>35%, the failure mode is
        
        
          mass flow. If P<25%, the failure mode is piping. If P=25
        
        
          ∼
        
        
          35%,
        
        
          the failure mode is intermediate type. For the soil with
        
        
          continuous gradation, the failure mode is determined by content
        
        
          of fine grains method.
        
        
          For the content of fine grains method, the content of fine
        
        
          grains at optimum gradation is introduced as an index. It is
        
        
          defined as:
        
        
          
        
        
          
        
        
          = 0.30 −  + 3
        
        
          
        
        
          1 − 
        
        
          n=porosity of the soil. If P>1.1P
        
        
          op
        
        
          , the failure mode is mass
        
        
          flow. If P<0.9P
        
        
          op
        
        
          , the failure mode is piping. If P=(0.9
        
        
          ∼
        
        
          1.1) P
        
        
          op
        
        
          ,
        
        
          the failure mode is intermediate.
        
        
          The capability for resisting seepage failure is defined as the
        
        
          limit seepage force (
        
        
          γ
        
        
          w
        
        
          J) that a unit volume of soil can be
        
        
          undertaken. The seepage gradient correspondent to this situation
        
        
          is the failure hydraulic gradient (J
        
        
          n
        
        
          ). Table 1 provides the
        
        
          summarization of allowed gradient and failure gradient.
        
        
          Table 1   The range seepage gradient
        
        
          J
        
        
          Seepage failure modes
        
        
          Mass flow
        
        
          Intermediate
        
        
          Piping
        
        
          C
        
        
          u
        
        
          ≤
        
        
          5
        
        
          C
        
        
          u
        
        
          > 5
        
        
          Continuous
        
        
          gradation
        
        
          Discontinuous
        
        
          gradation
        
        
          J
        
        
          fe
        
        
          0.8
        
        
          ∼
        
        
          1.0 1.0
        
        
          ∼
        
        
          1.5
        
        
          0.4
        
        
          ∼
        
        
          0.8
        
        
          0.2
        
        
          ∼
        
        
          0.4
        
        
          0.1
        
        
          ∼
        
        
          0.3
        
        
          J
        
        
          a
        
        
          0.4
        
        
          ∼
        
        
          0.5 0.5
        
        
          ∼
        
        
          0.8
        
        
          0.25
        
        
          ∼
        
        
          0.4
        
        
          0.15
        
        
          ∼
        
        
          0.25
        
        
          0.1
        
        
          ∼
        
        
          0.2
        
        
          For seepage safety of dikes, the primary goals of seepage
        
        
          control in dikes and foundation could be summarized as three
        
        
          aspects: (1) Decrease the quantities of seepage. (2) Release