 
          1741
        
        
          Technical Committee 204 /
        
        
          
            Comité technique 204
          
        
        
          ue of 16 mm/rev for
        
        
          
            p
          
        
        
          in the reference projects, the impact of
        
        
          the penetration rate on the cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          can be described
        
        
          for the prognosis model by the impact factor
        
        
          
            f
          
        
        
          
            p
          
        
        
          :
        
        
          
        
        
          
        
        
          = 1 1,4
        
        
          
        
        
          ,
        
        
            
        
        
          3
        
        
          The number of scrapers per cutting track
        
        
          
            k
          
        
        
          
            sc
          
        
        
          influences the
        
        
          actual penetration rate
        
        
          
            p
          
        
        
          
            sc
          
        
        
          of each scraper on the cutting track,
        
        
          since the penetration rate
        
        
          
            p
          
        
        
          is shared between all scrapers on the
        
        
          track depending on the angular distance between the scrapers.
        
        
          Inversely to the penetration rate
        
        
          
            p
          
        
        
          , the impact of the number of
        
        
          scrapers per cutting track on the cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          can be de-
        
        
          scribed for the prognosis model by the impact factor
        
        
          
            f
          
        
        
          
            k
          
        
        
          :
        
        
          
        
        
          
        
        
          = 1,4
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          4
        
        
          For the impact of geotechnical parameters the analysis shows
        
        
          that the correlation of individual parameters with the actual cut-
        
        
          ting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          does not lead to reasonable results. Therefore a
        
        
          new index value considering the three main influencing factors
        
        
          on abrasive wear was developed. These factors are:
        
        
          •
        
        
          Abrasivity of the soil components
        
        
          •
        
        
          Stress at the contact surface between soil and cutting tool
        
        
          •
        
        
          Shape parameters of the soil components
        
        
          For the description of the abrasivity of the soil components
        
        
          the Equivalent Quartz Content (
        
        
          
            EQC
          
        
        
          ) in % was selected be-
        
        
          cause of the wide applicability of the test on different soil types
        
        
          and the high availability in the reference projects. The contact
        
        
          stress
        
        
          τ
        
        
          act
        
        
          [kN/m²] was approximated by the shear strength of the
        
        
          soil in the excavation face
        
        
          τ
        
        
          c
        
        
          using the M
        
        
          OHR
        
        
          -C
        
        
          OULOMB
        
        
          criteri-
        
        
          on. As shape parameter for the soil components the grain size
        
        
          D
        
        
          
            60
          
        
        
          in mm was selected, describing the size where 60% of all
        
        
          grains in the soil are smaller than the given value.
        
        
          The three parameters are weighted and combined in the new
        
        
          Soil Abrasivity Index (
        
        
          
            SAI
          
        
        
          ) (5). Theoretically the dimension of
        
        
          the index is N/m, however the index should be regarded as di-
        
        
          mensionless, because of its entirely empirical character.
        
        
          SAI =  EQC 100 
        
        
          
        
        
          ∙ τ
        
        
          
        
        
          ∙ D
        
        
          
        
        
          5
        
        
          For the analysis of the correlation of the
        
        
          
            SAI
          
        
        
          with the actual
        
        
          cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          achieved by disc cutters in the reference pro-
        
        
          jects the tip width
        
        
          
            t
          
        
        
          
            dc
          
        
        
          of the disc cutters was standardized at 19.0
        
        
          mm. The according correlation is shown in fig. 1.
        
        
          For scrapers a very similar correlation between the
        
        
          
            SAI
          
        
        
          and
        
        
          the actual cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          was found. Here the number of
        
        
          identical scrapers per cutting track and direction of rotation
        
        
          
            k
          
        
        
          
            sc
          
        
        
          was standardized at 2.0. The according correlation is shown in
        
        
          fig. 2.
        
        
          For both tool types the analysis results in a significant expo-
        
        
          nential correlation between the Soil Abrasivity Index and the
        
        
          cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          . This type of correlation reflects the generally
        
        
          expected relation of soil abrasivity and tool life. An increase in
        
        
          the Soil Abrasivity Index (
        
        
          
            SAI
          
        
        
          ) leads to an according decrease
        
        
          in the cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          and vice versa. The correlations com-
        
        
          ply with the finding that such correlations are in general contin-
        
        
          uous and nonlinear (F
        
        
          RENZEL
        
        
          2010). A similar but weaker cor-
        
        
          relation was found between NTNU soil abrasion tests and the
        
        
          excavation volume
        
        
          
            v
          
        
        
          
            c
          
        
        
          in m³ of cutting tools for EBP machines
        
        
          (J
        
        
          AKOBSEN
        
        
          & D
        
        
          AHL
        
        
          2011).
        
        
          3 PROGNOSIS MODEL
        
        
          The results of the data analysis allow for the invers application
        
        
          as an empirical prognosis model for the basic tool life. Based on
        
        
          the tool life an engineering process for the estimation of the re-
        
        
          sulting demand for hyperbaric interventions
        
        
          
            I
          
        
        
          and the intervals
        
        
          
            b
          
        
        
          
            I
          
        
        
          between the interventions can be derived.
        
        
          3.1
        
        
          
            Basic tool life prognosis
          
        
        
          The basic value for the cutting distance
        
        
          
            s
          
        
        
          
            cb
          
        
        
          in km results from
        
        
          the Soil Abrasivity Index
        
        
          
            SAI
          
        
        
          (5), entered in the correlations
        
        
          given in fig. 1 and fig. 2 for disc cutters and scrapers. In addi-
        
        
          tion the accuracy of the prognosis has to be considered. For a
        
        
          conservative approach, a reduction of the value of
        
        
          
            s
          
        
        
          
            cb
          
        
        
          derived
        
        
          from the correlations in fig. 1 and fig. 2 by 40-50% is recom-
        
        
          mended.
        
        
          3.2
        
        
          
            Correction of TBM design and advance parameters
          
        
        
          The basic value for the cutting distance
        
        
          
            s
          
        
        
          
            cb
          
        
        
          needs to be corrected
        
        
          according to the actual TBM design and advance parameters.
        
        
          The correction results in the expected value for the cutting dis-
        
        
          tance
        
        
          
            s
          
        
        
          
            ce
          
        
        
          in km for disc cutters (6) and scrapers (7).
        
        
          
        
        
          
        
        
          = 
        
        
          
        
        
          ∙ 
        
        
          
        
        
          6
        
        
          
        
        
          
        
        
          = 
        
        
          
        
        
          ∙ 
        
        
          
        
        
          ∙ 
        
        
          
        
        
          7
        
        
          Figure 1. Correlation of the Soil Abrasivity Index (
        
        
          
            SAI
          
        
        
          ) and the cutting
        
        
          distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          of disc cutters in different geotechnical conditions.
        
        
          Figure 2: Correlation of the Soil Abrasivity Index (SAI) and the
        
        
          cutting distance
        
        
          
            s
          
        
        
          
            c
          
        
        
          of scrapers in different geotechnical conditions.