 
          1486
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            No Mean Min. Max.
          
        
        
          
            SD
          
        
        
          
            CoV (%)
          
        
        
          w
        
        
          L
        
        
          13.
        
        
          (%)
        
        
          51
        
        
          43.9
        
        
          27.9 89.4
        
        
          8
        
        
          31.4
        
        
          w
        
        
          P
        
        
          (%)
        
        
          51
        
        
          25.3
        
        
          18.9 43.7
        
        
          5.3
        
        
          21.0
        
        
          I (%)
        
        
          P
        
        
          51
        
        
          18.6
        
        
          5.8 49.0
        
        
          9.7
        
        
          52.1
        
        
          
        
        
          (kN/m
        
        
          3
        
        
          )
        
        
          
        
        
          1
        
        
          25
        
        
          19.0
        
        
          7.8 22.6
        
        
          1.2
        
        
          6.1
        
        
          Gr l
        
        
          (%)
        
        
          ave
        
        
          31
        
        
          48
        
        
          0.2
        
        
          0.0
        
        
          3.0
        
        
          0.7
        
        
          1.6
        
        
          Sand (%)
        
        
          30.
        
        
          99.
        
        
          31.
        
        
          48
        
        
          0
        
        
          0.0
        
        
          5
        
        
          9
        
        
          106.5
        
        
          Silt (%)
        
        
          48
        
        
          49.2
        
        
          0.0 79.0 22.7
        
        
          46.2
        
        
          Clay (%) 48
        
        
          20.6
        
        
          0.0 77.0 17.2
        
        
          83.7
        
        
          Effective Stress E e:
        
        
          
        
        
          +
        
        
          '
        
        
          nvelop
        
        
          =
        
        
           c'  
        
        
          
        
        
          ' 
        
        
          tan
        
        
          
        
        
          Type test
        
        
          
            No
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            '
          
        
        
          
        
        
          
            ' (°)
          
        
        
          
            c'
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          DST
        
        
          21
        
        
          5.8 0.
        
        
          0.947
        
        
          472 29.2
        
        
          TX
        
        
          8
        
        
          0.0 0.525 33.2 0.976
        
        
          Shear strength envelope (
        
        
          e
        
        
          
        
        
          R
        
        
          end of t st):
        
        
          
        
        
          =
        
        
           c
        
        
          R
        
        
          +
        
        
          
        
        
          tan
        
        
          Type test
        
        
          
            No
          
        
        
          
            c
          
        
        
          
            R
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            R
          
        
        
          
        
        
          
            R
          
        
        
          
            (°)
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          TX_CIU
        
        
          7
        
        
          15.0
        
        
          0.453
        
        
          24.4 0.851
        
        
          G/G
        
        
          0
        
        
          vs.
        
        
          
        
        
          :
        
        
          0
        
        
          1 +
        
        
          
        
        
          
        
        
          )
        
        
          G/G = 1 / (
        
        
          Type test
        
        
          
            No
          
        
        
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 23.29
        
        
          1.105 0.978
        
        
          D vs. G/G
        
        
          0
        
        
          :
        
        
          xp(
        
        
          
        
        
          G/G
        
        
          D = D
        
        
          max
        
        
          e
        
        
          0
        
        
          )
        
        
          Type test
        
        
          
            No
          
        
        
          
            D
          
        
        
          
            max
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 44.58
        
        
          -2.369 0.991
        
        
          6 STATIC AND SEISMIC STABILITY ANALYSES
        
        
          of the
        
        
          side the embankment. The method of
        
        
          Morgenstern and Price (1965) was used in the analyses. The
        
        
          ch. A probability distribution was assigned
        
        
          to
        
        
          ts of an extensive investigation of the
        
        
          ity conditions of more than 90 km of
        
        
          S. G. and Wong K. S. 1990. Slope Stability
        
        
          down.
        
        
          
            Proc. of the H. Bolton Seed Memorial
          
        
        
          Kul
        
        
          Mo
        
        
          rapid drawdown condition was also considered for the upstream
        
        
          slope of the embankment. Since a complete drawdown is
        
        
          unlikely for a river, the actual water level drop during
        
        
          drawdown was deduced from hydrographs recorded in specific
        
        
          sections of the Po River in the last ten years. A partial
        
        
          drawdown of 8 m from the peak level was thus considered. The
        
        
          simple and conservative effective stress approach was applied
        
        
          in the drawdown analyses but, for the most critical situations,
        
        
          further analyses will be developed using a staged undrained
        
        
          strength method (Duncan et al., 1990). Dynamic effects in the
        
        
          seismic condition were considered using the pseudostatic
        
        
          method and, in this case, an ordinary water level. The values of
        
        
          the (deterministic) factor of safety obtained for the most critical
        
        
          conditions (upstream/downstream) on the section shown by way
        
        
          of example are given in Figure 6. It is worth observing that the
        
        
          most critical situation occurs during rapid drawdown for the
        
        
          upstream slope and during earthquake shaking for the
        
        
          downstream slope.
        
        
          All the stability analyses were also developed following a
        
        
          probabilistic approa
        
        
          the input soil parameters using the result of the CPTU data
        
        
          interpretation, and then a Monte Carlo procedure was applied to
        
        
          evaluate a probability distribution of the resulting safety factors,
        
        
          a more suitable way of assessing the risk level of instability of
        
        
          each specific section.
        
        
          7 CONCLUSIONS
        
        
          The preliminary resul
        
        
          static and seismic stabil
        
        
          Limit equilibrium analyses for assessing the stability
        
        
          riverbanks were performed under both static and seismic
        
        
          conditions, as shown in Figure 6 by way of example. The
        
        
          ordinary and the maximum water levels (peak flow) were
        
        
          considered in static effective stress analyses, with steady
        
        
          Figure 6. Typical output of deterministic stability analyses in static and
        
        
          riverbanks along the most important Italian river have been
        
        
          presented. The research included comprehensive experimental
        
        
          field and laboratory geotechnical surveys. However, the length
        
        
          of riverbanks considered together with the complexity of the
        
        
          available experimental database required to develop a
        
        
          methodology aimed at identifying the most representative
        
        
          sections where focusing accurate stability analyses, based on
        
        
          the probabilistic distribution of the main geotechnical
        
        
          parameters. The final goal is to take into account the spatial
        
        
          variability of soil units with a common geological origin and
        
        
          repetitive features, in order to extend the results of the stability
        
        
          analyses and to provide suitable risk maps of great relevance for
        
        
          the management of such vital infrastructure.
        
        
          8 REFERENCES
        
        
          Duncan J. M., Wright
        
        
          during Rapid Draw
        
        
          
            Symp., May 1990,
          
        
        
          Vol. 2, BiTech Publishers Ltd, Vancouver, BC,
        
        
          Canada, pp 253-271.
        
        
          hawy F.H. and Mayne P.W. 1990. Manual on Estimating Soil
        
        
          Properties for Foundation Design.
        
        
          
            Report EPRI EL-6800
          
        
        
          , Electric
        
        
          Power Research Institute (Palo Alto), 306 pp.
        
        
          Martelli L., Severi P., Biaviati G., Rosselli S. 2011. Modello geologico
        
        
          per le verifiche di stabilità in condizioni sismiche dell’argine destro
        
        
          del Po tra Boretto (RE) e Ro (FE). Internal report. Regione Emilia-
        
        
          Romagna, Servizio Geologico Sismco e dei Suoli (In Italian).
        
        
          rgenstern N.R. and Price V.E. 1965. The Analysis of the Stability of
        
        
          General Slip Surfaces. Geotechnique, 15, 79-93.
        
        
          Phoon K-K and Kulhawy F.H. 1999. Characterization of geotechnical
        
        
          variability.
        
        
          
            Can. Geotech. J.
          
        
        
          36, 612-624
        
        
          Robertson P.K. and Campanella R.G. 1983. Interpretation of Cone
        
        
          Penetration Tests: Sands.
        
        
          
            Can. Geotech J.
          
        
        
          20 (4), 1983, 719-733.
        
        
          Robertson P.K. 2009. Interpretation of cone penetration tests – a unified
        
        
          approach.
        
        
          
            Can. Geotechnical J.
          
        
        
          46 (11), 1337 – 1355.
        
        
          Senneset K., Sandven R. and Janbu N. 1989. Evaluation of Soil
        
        
          Parameters from Piezocone Tests.
        
        
          
            Transportation Research Record
          
        
        
          
            1235,
          
        
        
          24-37, National Academy Press, Washington D.C.
        
        
          FS
        
        
          det
        
        
          =2,013� RAPID�DRAWDOWN�
        
        
          FS
        
        
          det
        
        
          =2,497�
        
        
          PEAK�FLOW�
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�–�DOWNSTREAM�
        
        
          (K
        
        
          h
        
        
          =0,0446,�K
        
        
          v
        
        
          =‐0,0223)�
        
        
          ORDINARY�LEVEL�
        
        
          �
        
        
          Fs
        
        
          det
        
        
          =3,003�
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�
        
        
          K
        
        
          h
        
        
          =0,0446�e�K
        
        
          v
        
        
          =‐0,0223�
        
        
          Depth�a.s.l.��[m]�
        
        
          Distance�[m]�
        
        
          seismic conditions.
        
        
          seepage flow in
        
        
          
            No Mean Min. Max.
          
        
        
          
            SD
          
        
        
          
            CoV (%)
          
        
        
          w
        
        
          L
        
        
          13.
        
        
          (%)
        
        
          51
        
        
          43.9
        
        
          27.9 89.4
        
        
          8
        
        
          31.4
        
        
          w
        
        
          P
        
        
          (%)
        
        
          51
        
        
          25.3
        
        
          18.9 43.7
        
        
          5.3
        
        
          21.0
        
        
          I (%)
        
        
          P
        
        
          51
        
        
          18.6
        
        
          5.8 49.0
        
        
          9.7
        
        
          52.1
        
        
          
        
        
          (kN/m
        
        
          3
        
        
          )
        
        
          
        
        
          1
        
        
          25
        
        
          19.0
        
        
          7.8 22.6
        
        
          1.2
        
        
          6.1
        
        
          Gr l
        
        
          (%)
        
        
          ave
        
        
          31
        
        
          48
        
        
          0.2
        
        
          0.0
        
        
          3.0
        
        
          0.7
        
        
          1.6
        
        
          Sand (%)
        
        
          30.
        
        
          99.
        
        
          31.
        
        
          48
        
        
          0
        
        
          0.0
        
        
          5
        
        
          9
        
        
          106.5
        
        
          Silt (%)
        
        
          48
        
        
          49.2
        
        
          0.0 79.0 22.7
        
        
          46.2
        
        
          Clay (%) 48
        
        
          20.6
        
        
          0.0 77.0 17.2
        
        
          83.7
        
        
          Effective Stress E e:
        
        
          
        
        
          +
        
        
          '
        
        
          nvelop
        
        
          =
        
        
           c'  
        
        
          
        
        
          ' 
        
        
          tan
        
        
          
        
        
          Type test
        
        
          
            No
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            '
          
        
        
          
        
        
          
            ' (°)
          
        
        
          
            c'
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          DST
        
        
          21
        
        
          5.8 0.
        
        
          0.947
        
        
          472 29.2
        
        
          TX
        
        
          8
        
        
          0.0 0.525 33.2 0.976
        
        
          Shear strength envelope (
        
        
          e
        
        
          
        
        
          R
        
        
          end of t st):
        
        
          
        
        
          =
        
        
           c
        
        
          R
        
        
          +
        
        
          
        
        
          tan
        
        
          Type test
        
        
          
            No
          
        
        
          
            c
          
        
        
          
            R
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            R
          
        
        
          
        
        
          
            R
          
        
        
          
            (°)
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          TX_CIU
        
        
          7
        
        
          15.0
        
        
          0.453
        
        
          24.4 0.851
        
        
          G/G
        
        
          0
        
        
          vs.
        
        
          
        
        
          :
        
        
          0
        
        
          1 +
        
        
          
        
        
          
        
        
          )
        
        
          G/G = 1 / (
        
        
          Type test
        
        
          
            No
          
        
        
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 23.29
        
        
          1.105 0.978
        
        
          D vs. G/G
        
        
          0
        
        
          :
        
        
          xp(
        
        
          
        
        
          G/G
        
        
          D = D
        
        
          max
        
        
          e
        
        
          0
        
        
          )
        
        
          Type test
        
        
          
            No
          
        
        
          
            D
          
        
        
          
            max
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 44.58
        
        
          -2.369 0.991
        
        
          6 STATIC AND SEISMIC STABILITY ANALYSES
        
        
          of the
        
        
          side the embankment. The method of
        
        
          Morgenstern and Price (1965) was used in the analyses. The
        
        
          ch. A probability distribution was assigned
        
        
          to
        
        
          ts of an extensive investigation of the
        
        
          ity conditions of more than 90 km of
        
        
          S. G. and W ng K. S. 1990. lope Stability
        
        
          d wn.
        
        
          
            Proc. of the H. Bolton Seed Memorial
          
        
        
          Kul
        
        
          Mo
        
        
          rapid drawdown condition was also considered for the upstream
        
        
          slope of the embankment. Since a complete drawdown is
        
        
          unlikely for a river, the actual water level drop during
        
        
          drawdown was deduced from hydrographs recorded in specific
        
        
          sections of the Po River in the last ten years. A partial
        
        
          drawdown of 8 m from the peak level was thus considered. The
        
        
          simple and conservative effective stress approach was applied
        
        
          in the drawdown analyses but, for the most critical situations,
        
        
          further analyses will be developed using a staged undrained
        
        
          strength method (Duncan et al., 1990). Dynamic effects in the
        
        
          seismic condition were considered using the pseudostatic
        
        
          method and, in this case, an ordinary water level. The values of
        
        
          the (deterministic) factor of safety obtained for the most critical
        
        
          conditions (upstream/downstream) on the section shown by way
        
        
          of example are given in Figure 6. It is worth observing that the
        
        
          most critical situation occurs during rapid drawdown for the
        
        
          upstream slope and during earthquake shaking for the
        
        
          downstream slope.
        
        
          All the stability analyses were also developed following a
        
        
          probabilistic approa
        
        
          the input soil parameters using the result of the CPTU data
        
        
          interpretation, and then a Monte Carlo procedure was applied to
        
        
          evaluate a probability distribution of the resulting safety factors,
        
        
          a more suitable way of assessing the risk level of instability of
        
        
          each specific section.
        
        
          7 CONCLUSIONS
        
        
          The preliminary resul
        
        
          static and seismic stabil
        
        
          Limit equilibrium analyses for assessing the stability
        
        
          riverbanks were performed under both static and seismic
        
        
          conditions, as shown in Figure 6 by way of example. The
        
        
          ordinary and the maximum water levels (peak flow) were
        
        
          considered in static effective stress analyses, with steady
        
        
          Figure 6. Typical output of deterministic stability analyses in static and
        
        
          riverbanks along the most important Italian river have been
        
        
          presented. The research included comprehensive experimental
        
        
          field and laboratory geotechnical surveys. However, the length
        
        
          of riverbanks considered together with the complexity of the
        
        
          available experimental database required to develop a
        
        
          methodology aimed at identifying the most representative
        
        
          sections where focusing accurate stability analyses, based on
        
        
          the probabilistic distribution of the main geotechnical
        
        
          parameters. The final goal is to take into account the spatial
        
        
          variability of soil units with a common geological origin and
        
        
          repetitive features, in order to extend the results of the stability
        
        
          analyses and to provide suitable risk maps of great relevance for
        
        
          the management of such vital infrastructure.
        
        
          8 REFERENCES
        
        
          Duncan J. M., Wright
        
        
          during Rapid Draw
        
        
          
            Symp., May 1990,
          
        
        
          Vol. 2, BiTech Publishers Ltd, Vancouver, BC,
        
        
          Canada, pp 253-271.
        
        
          hawy F.H. and Mayne P.W. 1990. Manual on Estimating Soil
        
        
          roperties for Foundation Design.
        
        
          
            Report EPRI EL-6800
          
        
        
          , Electric
        
        
          Power Research Institute (Palo Alto), 306 pp.
        
        
          Martelli L., Severi P., Biaviati G., Rosselli S. 2011. Modello geologic
        
        
          per le verifiche di stabilità in condizioni sismiche dell’argine destro
        
        
          del Po tra Boretto (RE) e Ro (FE). Internal rep rt. Regione Emilia-
        
        
          Romag a, Servizio Geologico Sismco e dei Suoli (In Italian).
        
        
          rgenstern N.R. and Price V.E. 1965. The Analysis of the Stability of
        
        
          General Slip Surfaces. Geotechnique, 15, 79-93.
        
        
          Phoon K-K and Kulhawy F.H. 1999. Characterization of geotechnical
        
        
          variability.
        
        
          
            Ca . Geotech. J.
          
        
        
          36, 612-624
        
        
          Robertson P.K. and Campanella R.G. 1983. Interpretation of Cone
        
        
          Penetration Tests: Sands.
        
        
          
            Can. Geotech J.
          
        
        
          20 (4), 1983, 719-733.
        
        
          Robertson P.K. 2009. Interpretation of cone penetration tests – a unified
        
        
          approach.
        
        
          
            Ca . Geotechnical J.
          
        
        
          46 (11), 1337 – 1355.
        
        
          Senneset K., Sandven R. and Janbu N. 1989. Evaluation of Soil
        
        
          Parameters from Piezocone Tests.
        
        
          
            Transportation Research Record
          
        
        
          
            1235,
          
        
        
          24-37, National Academy Press, Washington D.C.
        
        
          FS
        
        
          det
        
        
          =2,013� RAPID�DRAWDOWN�
        
        
          FS
        
        
          det
        
        
          =2,497�
        
        
          PEAK�FLOW�
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�–�DOWNSTREAM�
        
        
          (K
        
        
          h
        
        
          =0,0446,�K
        
        
          v
        
        
          =‐0,0223)�
        
        
          ORDINARY�LEVEL�
        
        
          �
        
        
          Fs
        
        
          det
        
        
          =3,003�
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�
        
        
          K
        
        
          h
        
        
          =0,0446�e�K
        
        
          v
        
        
          =‐0,0223�
        
        
          Depth�a.s.l.��[m]�
        
        
          Distance�[m]�
        
        
          seismic conditions.
        
        
          seepage flow in
        
        
          order to
        
        
          property
        
        
          tionships
        
        
          with the
        
        
          rrelations
        
        
          later by
        
        
          effective
        
        
          ized CPT
        
        
          eset
        
        
          
            et al.
          
        
        
          ratory testing for lithologic
        
        
          Unit A
        
        
          r
        
        
          *.
        
        
          representative samples of lithologic Units Ar* are shown in
        
        
          Table 1. In particular, for each property, the number of tested
        
        
          specimens, mean, minimum and maximum values, standard
        
        
          deviation and coefficient of variation are reported. Kind of
        
        
          testing, number of specimens, values of the parameters and
        
        
          correlation coefficients are provided for drained and undrained
        
        
          shear strength and for normalized shear modulus and damping
        
        
          ratio versus shear strain relationships.
        
        
          Table 1. Geotechnical properties from labo
        
        
          
            No Mean Min. Max.
          
        
        
          
            SD
          
        
        
          
            CoV (%)
          
        
        
          L
        
        
          13.
        
        
          (%)
        
        
          43.9
        
        
          27.9 89.4
        
        
          8
        
        
          31.4
        
        
          w
        
        
          P
        
        
          ( )
        
        
          25 3 18 9 3 7 5 3
        
        
          21 0
        
        
          I (%)
        
        
          P
        
        
          51
        
        
          18.6
        
        
          5.8 49.0
        
        
          9.7
        
        
          52.1
        
        
          
        
        
          (kN/m
        
        
          3
        
        
          )
        
        
          
        
        
          1
        
        
          25
        
        
          19.0
        
        
          7.8 22.6
        
        
          1.2
        
        
          6.1
        
        
          Gr l
        
        
          (%)
        
        
          ave
        
        
          31
        
        
          48
        
        
          0.2
        
        
          0.0
        
        
          3.0 0 7
        
        
          1 6
        
        
          and (%)
        
        
          30
        
        
          9
        
        
          31
        
        
          4
        
        
          0
        
        
          5
        
        
          9
        
        
          10 5
        
        
          Silt (%)
        
        
          8
        
        
          49.2
        
        
          0.0 79.
        
        
          22 7
        
        
          46.2
        
        
          Clay (%) 48
        
        
          20.6
        
        
          0.0 77.0 17.2
        
        
          83.7
        
        
          Effective Stress E e:
        
        
          
        
        
          +
        
        
          '
        
        
          nvelop
        
        
          =
        
        
           c'  
        
        
          
        
        
          ' 
        
        
          tan
        
        
          
        
        
          Type test
        
        
          
            No (kPa) tan
          
        
        
          
        
        
          
            '
          
        
        
          
        
        
          
            ' (°)
          
        
        
          
            c'
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          DST
        
        
          21 5 8
        
        
          47
        
        
          472 29
        
        
          TX
        
        
          8
        
        
          0.0 0.525 33.2 0.976
        
        
          Shear strength envelope (
        
        
          e
        
        
          
        
        
          R
        
        
          end of t st):
        
        
          
        
        
          =
        
        
           c
        
        
          R
        
        
          +
        
        
          
        
        
          tan
        
        
          ype test
        
        
          
            No
          
        
        
          
            c
          
        
        
          
            R
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            R
          
        
        
          
        
        
          
            R
          
        
        
          
            (°)
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          TX_CIU
        
        
          7
        
        
          15.0
        
        
          0.453
        
        
          24.4 0.851
        
        
          G/G
        
        
          0
        
        
          vs.
        
        
          
        
        
          :
        
        
          0
        
        
          1 +
        
        
          
        
        
          
        
        
          )
        
        
          G/G = 1 / (
        
        
          Type test
        
        
          
            No
          
        
        
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 23.29
        
        
          1.105 0.978
        
        
          D vs. G/G
        
        
          0
        
        
          :
        
        
          xp(
        
        
          
        
        
          G/G
        
        
          D =
        
        
          e
        
        
          0
        
        
          )
        
        
          Type test
        
        
          
            No D
          
        
        
          
            max
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 44.58
        
        
          -2.369 0.991
        
        
          6 STATIC AND SEIS IC STABILITY ANALYSES
        
        
          of the
        
        
          side the embankment. The method of
        
        
          orgenstern and Price (1965) was used in the analyses. The
        
        
          ch. A probability distribution was assigned
        
        
          to
        
        
          ts of a exte sive inv s ig tion of the
        
        
          ity conditions of more than 90 km of
        
        
          S. G. and ong K. S. 1990. Slope Stability
        
        
          down.
        
        
          
            Proc. of the H. Bolton Seed Memorial
          
        
        
          Kul
        
        
          Mo
        
        
          rapid drawdown condition was also considered for the upstream
        
        
          slope of the embankment. Since a complet drawdown is
        
        
          unlikely for a river, the actual water level drop during
        
        
          drawdown was deduced from hydrographs recorded in s ecific
        
        
          sections of the Po Riv r in the last ten years. A partial
        
        
          drawdown of 8 m from the peak level was thus considered. The
        
        
          simple and conservative effective stress approach was applied
        
        
          in
        
        
          drawdown analyses but, for the most critical situations,
        
        
          further analyses will be developed using a staged undrained
        
        
          trength method (Duncan et al., 1990). Dynamic effects in the
        
        
          seismic condition were c nsidered using the pseudostatic
        
        
          method and, in this case, an ordinary water level. The values of
        
        
          the (deterministic) factor of safety obtained for the most critical
        
        
          conditions (upstream/downstream) on the section shown by way
        
        
          of example are given in Figure 6. It is worth observing that he
        
        
          most critica situation occurs during rapid drawdown for h
        
        
          upstream slope and during earthquake shaking for the
        
        
          downstream slope.
        
        
          All the st bility analyses were also developed follow ng a
        
        
          probabilistic approa
        
        
          the input soil parameters using the result of the CPTU data
        
        
          interpret tion, and then a onte Carlo procedure was applied to
        
        
          evaluate a probability distribution of the resulting safe y factors,
        
        
          a more suitabl way of assessing the risk level of instability of
        
        
          each specific section.
        
        
          7 CONCLUSIONS
        
        
          The preliminary resul
        
        
          static and seismic stabil
        
        
          Limit equilibrium analyses for assessing the stability
        
        
          riverbanks were performed under both static and seismic
        
        
          conditions, as shown in Figure 6 by way of example. Th
        
        
          ordinary and he maximum water level (peak flow) were
        
        
          considered in static effectiv stress analyses, with teady
        
        
          Figure 6. Typical output of deterministic stability analyses in static and
        
        
          riverbanks along the most important Italian river have been
        
        
          presented. The research included comprehensive experimental
        
        
          field and laboratory geotechnical surveys. However, the length
        
        
          of riverbanks considered together with the complexity of the
        
        
          available experimental atabase required to d velop a
        
        
          methodology aimed at identifying the most r presentative
        
        
          sections where focus ng accurate stability analyses, based on
        
        
          the probabilistic distribut on of the main geotechnic
        
        
          p ameters. The final goal is to take into account the spatial
        
        
          variab lity of soil u its with a common g ological origin and
        
        
          repetitive fea ures, in order to extend the results of the stability
        
        
          analyses and to provide suit ble risk maps of great relevance for
        
        
          the management of such vital infrastructure.
        
        
          8 REFERENCES
        
        
          Duncan J. M., Wright
        
        
          during Rapid Draw
        
        
          
            Symp., May 1990,
          
        
        
          Vol. 2, BiTech Publishers Ltd, Vancouver, BC,
        
        
          Canada, pp 253-271.
        
        
          hawy F.H. and Mayne P.W. 1990. Manual on Estimating Soil
        
        
          Properties for Foundation Design.
        
        
          
            Report EPRI EL-6800
          
        
        
          , Electric
        
        
          Power Research Institute (Palo Alto), 306 pp.
        
        
          Martelli L., Severi P., Biaviati G., Rosselli S. 2011. Modello geologico
        
        
          p r le verifiche di stabilità in condizioni sismiche dell’argine destro
        
        
          del Po tra Boretto (RE) e Ro (FE). Internal report. Regione Emilia-
        
        
          Romagna, Servizio Geologico Sismco e dei Suoli (In Italian).
        
        
          rgenstern N.R. and Price V.E. 1965. The Analysis of the Stability of
        
        
          General Slip S rfaces. Geotechnique, 15, 79-93.
        
        
          Phoon K-K and Kulhawy F.H. 1999. Characterization of geotechnical
        
        
          variability.
        
        
          
            Can. Geotech. J.
          
        
        
          36, 612-624
        
        
          Robertson P.K. and Campanella R.G. 1983. Interpretation of Cone
        
        
          Penetration Tests: Sands.
        
        
          
            Can. Geotech J.
          
        
        
          20 (4), 1983, 719-733.
        
        
          Robertson P.K. 2009. Interpretation of cone penetration tests – a unified
        
        
          approach.
        
        
          
            Ca . Geotechnical J.
          
        
        
          46 (11), 1337 – 1355.
        
        
          Senneset K., Sandven R. and Janbu N. 1989. Evaluation of Soil
        
        
          Parameters from Piezocone Tests.
        
        
          
            Transportation Research Record
          
        
        
          
            1235,
          
        
        
          24-37, National Academy Press, Washington D.C.
        
        
          FS
        
        
          det
        
        
          =2,013� RAPID�DRAWDOWN�
        
        
          FS
        
        
          det
        
        
          =2,497�
        
        
          PEAK�FLOW��
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�–�DOWNSTREAM�
        
        
          (K
        
        
          h
        
        
          =0,0446,�K
        
        
          v
        
        
          =‐0,0223)�
        
        
          ORDINARY�LEVEL��
        
        
          �
        
        
          Fs
        
        
          det
        
        
          =3,003�
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�
        
        
          K
        
        
          h
        
        
          =0,0446�e�K
        
        
          v
        
        
          =‐0,0223�
        
        
          Depth�a.s.l ��[m]�
        
        
          Distance�[m]�
        
        
          eismic conditions.
        
        
          seepage flow in
        
        
          
            No Mean Min. Max.
          
        
        
          
            SD
          
        
        
          
            CoV (%)
          
        
        
          w
        
        
          L
        
        
          13.
        
        
          (%)
        
        
          51
        
        
          43.9
        
        
          27.9 89.4
        
        
          8
        
        
          31.4
        
        
          w
        
        
          P
        
        
          (%)
        
        
          51
        
        
          25.3
        
        
          18.9 43.7
        
        
          5.3
        
        
          21.0
        
        
          I (%)
        
        
          P
        
        
          51
        
        
          18.6
        
        
          5.8 49.0
        
        
          9.7
        
        
          52.1
        
        
          
        
        
          (kN/m
        
        
          3
        
        
          )
        
        
          
        
        
          1
        
        
          25
        
        
          19.0
        
        
          7.8 22.6
        
        
          1.2
        
        
          6.1
        
        
          Gr l
        
        
          (%)
        
        
          ave
        
        
          31
        
        
          48
        
        
          0.2
        
        
          0.0
        
        
          3.0
        
        
          0.7
        
        
          1.6
        
        
          Sand (%)
        
        
          30.
        
        
          99.
        
        
          31.
        
        
          48
        
        
          0
        
        
          0.0
        
        
          5
        
        
          9
        
        
          106.5
        
        
          Silt (%)
        
        
          48
        
        
          49.2
        
        
          0.0 79.0 22.7
        
        
          46.2
        
        
          Clay (%) 48
        
        
          20.6
        
        
          0.0 77.0 17.2
        
        
          83.7
        
        
          Effective Stress E e:
        
        
          
        
        
          +
        
        
          '
        
        
          nvelop
        
        
          =
        
        
           c'  
        
        
          
        
        
          ' 
        
        
          tan
        
        
          
        
        
          Type test
        
        
          
            No
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            '
          
        
        
          
        
        
          
            ' (°)
          
        
        
          
            c'
          
        
        
          
            2
          
        
        
          DST
        
        
          21
        
        
          5.8
        
        
          .
        
        
          0.947
        
        
          472 29.2
        
        
          TX
        
        
          8
        
        
          0.0 0.525 33.2 0.976
        
        
          Shear strength envelope (
        
        
          e
        
        
          
        
        
          R
        
        
          end of t st):
        
        
          
        
        
          =
        
        
           c
        
        
          R
        
        
          +
        
        
          
        
        
          tan
        
        
          Type test
        
        
          
            No
          
        
        
          
            c
          
        
        
          
            R
          
        
        
          
            (kPa)
          
        
        
          
            tan
          
        
        
          
        
        
          
            R
          
        
        
          
        
        
          
            R
          
        
        
          
            (°)
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          TX_CIU
        
        
          7
        
        
          15.0
        
        
          0.453
        
        
          24.4 0.851
        
        
          G/G
        
        
          0
        
        
          vs.
        
        
          
        
        
          :
        
        
          0
        
        
          1 +
        
        
          
        
        
          
        
        
          )
        
        
          G/G = 1 / (
        
        
          Type test
        
        
          
            No
          
        
        
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 23.29
        
        
          1.105 0.978
        
        
          D vs. G/G
        
        
          0
        
        
          :
        
        
          xp(
        
        
          
        
        
          G/G
        
        
          D = D
        
        
          max
        
        
          e
        
        
          0
        
        
          )
        
        
          Type test
        
        
          
            No
          
        
        
          
            D
          
        
        
          
            max
          
        
        
          
        
        
          
            R
          
        
        
          
            2
          
        
        
          RC
        
        
          1 44.58
        
        
          -2.369 0.991
        
        
          6 STATIC AND SEISMIC STABILITY ANALYSES
        
        
          of the
        
        
          ch. A probability distributi n was assigned
        
        
          to
        
        
          ts of an extensive investigation of the
        
        
          ity conditions of more than 90 km of
        
        
          rapid drawdown condition was also considered for the upstream
        
        
          slope of the embankment. Since a complete drawdown is
        
        
          unlikely for a river, the actual water level drop during
        
        
          drawdown was deduced from hydrographs recorded in specific
        
        
          sections of the Po River in the last ten years. A partial
        
        
          drawdown of 8 m from the peak level was thus considered. The
        
        
          simple and conservative effective stress approach was applied
        
        
          in the drawdown analyses but, for the most critical situations,
        
        
          furt er analyses will be developed using a staged undrained
        
        
          strength method (D ncan et al., 1990). D namic effects in the
        
        
          seismic condition were considered using the pseudostatic
        
        
          method and, in this case, an ordinary water level. The values of
        
        
          the (deterministic) factor of safety obtai ed for the m st critical
        
        
          conditions (upstream/downstream) on the section shown by way
        
        
          of example are given in Figure 6. It is worth observing that the
        
        
          most critical situation occurs during rapid drawdown for the
        
        
          upstream slope and during earthquake shaking for the
        
        
          downstream slope.
        
        
          All the stability analyses were also developed following a
        
        
          prob bilistic approa
        
        
          the i put soil parameters using the result of the CPTU data
        
        
          interpretation, and then a Monte Carlo procedure w s applied to
        
        
          evalu te a probability distribution of the resulting safety factors,
        
        
          a more suitable way of assessing the risk level of inst bility f
        
        
          each specific section.
        
        
          7 CONCLUSIONS
        
        
          The preliminary resul
        
        
          static and seismic stabil
        
        
          Limit equilibrium analyses for assessing the stability
        
        
          riverbanks were performed under both static and seismic
        
        
          conditions, as shown in Figure 6 by way of example. The
        
        
          ordinary and the maximum water levels (peak flow) were
        
        
          considered in static effective stress analyses, with steady
        
        
          Figure 6. Typical output of deterministic stability analyses in static and
        
        
          riverbanks along the most important Ital an river have been
        
        
          presented. The research included comprehensiv experimental
        
        
          field a d laboratory geotechnical surveys. However the length
        
        
          of riverbanks considered ogether with the complexity of the
        
        
          available experim ntal d tabase required to develop a
        
        
          methodology aimed at identifying the most representative
        
        
          sections where focusing accurate stability analyses, based n
        
        
          the probabilistic distribution of the main geotechnical
        
        
          parameters. The final goal is to take into account the spatial
        
        
          variability of soil units with a common geological origin and
        
        
          repetitive features, in order to extend the results of the stability
        
        
          analyses and to provide suitable risk maps of great relevance for
        
        
          the management of such vital infrastructure.
        
        
          FS
        
        
          det
        
        
          =2,149�
        
        
          PSEUDOSTATIC�ANALYSIS�–�DOWNSTREAM�
        
        
          (K
        
        
          h
        
        
          =0,0446,�K
        
        
          v
        
        
          =‐0,0223)�
        
        
          ORDINARY�LEVEL�
        
        
          �
        
        
          Fs
        
        
          det
        
        
          =3,003�
        
        
          
            M a M
          
        
        
          
            SD
          
        
        
          
            C V ( )
          
        
        
          %)
        
        
          43.9
        
        
          .9
        
        
          .
        
        
          52 1
        
        
          (%)
        
        
          48
        
        
          0.2
        
        
          0.0
        
        
          3.0
        
        
          Sand (%)
        
        
          30.
        
        
          99.
        
        
          31.
        
        
          48
        
        
          0
        
        
          0.0
        
        
          5
        
        
          9
        
        
          106.5
        
        
          Silt (%)
        
        
          48
        
        
          49.2
        
        
          0.0 79.0 22.7
        
        
          46.2
        
        
          
        
        
          '
        
        
            c'  
        
        
          
        
        
          ' 
        
        
          
        
        
          6
        
        
          elope (
        
        
          e
        
        
          
        
        
          n f t st :
        
        
          +
        
        
          
        
        
          an
        
        
          
            c
          
        
        
          Type test
        
        
          RC
        
        
          R
        
        
          1 4 58
        
        
          T IC A S IS IC STA L TY AN SES
        
        
          o he
        
        
          i
        
        
          t
        
        
          mb n me t. T e me d of
        
        
          r s n a r
        
        
          s s n he a a ses The
        
        
          . A p b l
        
        
          dist ib ion w a i
        
        
          to
        
        
          v
        
        
          s a i
        
        
          th
        
        
          ity
        
        
          ion of mo e a  k o
        
        
          S. . an ng K . 199 S ope S bility
        
        
          own.
        
        
          
            roc. of t e H.
          
        
        
          
            lto S d Memoria
          
        
        
          K
        
        
          wdown onditio was a s ns der for t e up t eam
        
        
          h
        
        
          bankmen . nce a om lete r w wn is
        
        
          f
        
        
          iv r t e a al w er ev l d d g
        
        
          do s ed c d om ydro r
        
        
          r orde in s e i c
        
        
          s cti s o t e Po
        
        
          in
        
        
          l en ea A pa t l
        
        
          d awd n of 8 m from th p k l
        
        
          s thus c side d. he
        
        
          s pl
        
        
          d on r ative
        
        
          i e t es
        
        
          oac wa app ied
        
        
          fu th nalys s will be developed si
        
        
          a
        
        
          ed u dr ned
        
        
          str g h
        
        
          h (
        
        
          can et l.,
        
        
          . D nam ffe s in th
        
        
          eis c
        
        
          ndi i n re con i e us n e pseud stati
        
        
          met
        
        
          , n this case, a rd ry a r le . h val e of
        
        
          ( t m f c
        
        
          t e s ri a
        
        
          con i s
        
        
          tr a ow
        
        
          c h
        
        
          ple r g ven n i ur . t i w rth ob erv n th the
        
        
          m s ritica situatio c r uring r d aw own h
        
        
          e m slope
        
        
          d
        
        
          r n a thqua e sh ing
        
        
          nstream s ope
        
        
          robabili t c a p a
        
        
          h i put soil par et r usi g t e r s lt f he
        
        
          i t r retati a t e
        
        
          arlo pr cedur w s ap ied to
        
        
          e a o l ty istrib t on o h resul n e f c rs,
        
        
          e s i ab wa o a es in
        
        
          sp if c o
        
        
          T p i
        
        
          r
        
        
          an seism sta il
        
        
          im t e
        
        
          u a s r s e i
        
        
          e
        
        
          i i
        
        
          b nks
        
        
          r
        
        
          e d
        
        
          t i
        
        
          s m c
        
        
          onsidered in static fectiv
        
        
          Figur 6. y al utput of de rm n s sta i
        
        
          n ly e
        
        
          r
        
        
          nk n the s i por n Ital an ive v b e
        
        
          m rehens v per m ta
        
        
          f d
        
        
          bo at o hni a v H
        
        
          l g
        
        
          of r v rba ks co d re
        
        
          r
        
        
          the co plex ty o e
        
        
          av i ab
        
        
          er
        
        
          l dat se r quire to
        
        
          elop a
        
        
          method l y med at i
        
        
          n h m r e
        
        
          ve
        
        
          aly , b ed on
        
        
          ba istic dis rib ion
        
        
          the main g o h cal
        
        
          p
        
        
          h f nal oa is t a e into a nt h spa ia
        
        
          n
        
        
          n
        
        
          g nd
        
        
          rep titive featu e , i ord to extend the r sul s f t s abil ty
        
        
          a a se and to provi suitable ris map
        
        
          r t l v c fo
        
        
          t e na e t of s vi l n ra truc
        
        
          D an . M , right
        
        
          d ri Rapi ra
        
        
          
            May
          
        
        
          
            0,
          
        
        
          V l 2 Bi c ub s s L d V ncou r, BC
        
        
          p 53-
        
        
          h y .H a d ay e P . 9 . Man a n E timating Soi
        
        
          Pro ies for oun ti n De ig
        
        
          
            e rt PRI EL 68
          
        
        
          , le c
        
        
          c
        
        
          ute (P lo Alto) 306 pp
        
        
          M te l L , ev r ., avia G. R e li S 0 1 od llo geo o i
        
        
          r l veri h d bi it n con izi i s smiche del ’ar n e tro
        
        
          l o ra B ret o (R ) e R E te a repo . egi
        
        
          m l a
        
        
          R a a,
        
        
          r i io G ologi Sis c  d i Suoli (I It an .
        
        
          r ns e R and P ic
        
        
          . 1 6 he A lysis  he Sta t
        
        
          ac
        
        
          c q , 5, 7 .
        
        
          h on - a d Kulh wy F.H 19 9. Ch ac riza i n f g ot c ica
        
        
          r ability
        
        
          
            Can Geo e h. J.
          
        
        
          36, 612- 2
        
        
          rtso . .
        
        
          mpa ll
        
        
          .G 1983. Inter r a n
        
        
          e
        
        
          Pen ra io es s: an s.
        
        
          
            C n. eo e h .
          
        
        
          2 (4), 1 83, 719- 33.
        
        
          R b ts n .K.
        
        
          9. Int r a io  con p etration t s s  a
        
        
          f d
        
        
          r ach.
        
        
          
            Can. e c nic l J.
          
        
        
          4 (11), 133  1 55
        
        
          v
        
        
          
            1 ,
          
        
        
          24 37, N ti al A
        
        
          Was n
        
        
          F =2, 1
        
        
          F =2
        
        
          FS
        
        
          d
        
        
          = ,
        
        
          P
        
        
          S ATIC� N SI –
        
        
          044 , K
        
        
          v
        
        
          =‐ 02 )
        
        
          S ,
        
        
          PSE OS T C�A A YSI
        
        
          ,0 �e
        
        
          [m
        
        
          e smic
        
        
          ow
        
        
          side the embankment. The method of
        
        
          Morgenstern and Price (1965) was used in the analyses. The
        
        
          Penet
        
        
          Robertson
        
        
          appro
        
        
          Senneset
        
        
          Para
        
        
          
            1235,
          
        
        
          Depth
        
        
          Distance�[m]�
        
        
          seismic conditions.
        
        
          seepage flow in