 
          1678
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          5 ROCK TUNNELLING
        
        
          This topic gathered three papers of underground structures
        
        
          excavated in different types of rock. Stability of underground
        
        
          structures with different geometries and with account for post-
        
        
          peak strength degradation is presented. An empirical method for
        
        
          the prediction of TBM penetration rate is also presented.
        
        
          
            Görög
          
        
        
          
            
              et al.
            
          
        
        
          perform several numerical analyses with four
        
        
          different codes of underground cellars beneath the city of
        
        
          Budapest, in their paper “Stability analyses of underground
        
        
          structures cut into porous limestone”. The results focus on
        
        
          admissible surface loads, grouting and enlargement of a tunnel
        
        
          and interaction of different cellar systems, as in Figure 15. The
        
        
          restrictions and capabilities of each modelling tool are depicted
        
        
          and analysed in the results and conclusion.
        
        
          Figure 15. Mean stress distribution around the interacting cellars
        
        
          (modified from Görög
        
        
          
            et al.
          
        
        
          ).
        
        
          
            Hsiao and Chi
          
        
        
          in their paper “Effect of brittle failure on
        
        
          deep underground excavation in eastern Taiwan” investigate
        
        
          how post-peak strength degradation of metamorphic hard rock
        
        
          in Taiwan can affect deep tunnelling behaviour. The case study
        
        
          of a twin-hole tunnel with an excavation span of 12.5 m was
        
        
          studied with a finite difference package.
        
        
          The study evaluated the tunnel at two different depths, 500
        
        
          and 1000 m, and the rock mass by two different models, the
        
        
          Hoek-Brown model and the Hoek-Brown with the post peak
        
        
          degradation model of Cundall
        
        
          
            et al.
          
        
        
          (2003). A subroutine was
        
        
          created to account for the strength loss parameter as a function
        
        
          of the confining stress, adjusted from several tri-axial
        
        
          compressive tests (Figure 16).
        
        
          Figure 16. Typical stress-strain curves of triaxial tests under different
        
        
          confining stresses from the marbles in eastern Taiwan (modified from
        
        
          Hsiao and Chi).
        
        
          This model diminishes the peak parameters by a factor of (1-
        
        
          β), β being the strength loss parameter that decreases with
        
        
          increasing
        
        
          
        
        
          3
        
        
          /
        
        
          
        
        
          c
        
        
          as in Figure 17.
        
        
          The analyses show that the increase in tunnel deformations
        
        
          due to deeper excavation is more pronounced when the
        
        
          evolution of post-peak strength degradation with confinement
        
        
          loss due to tunnelling is accounted for. With a 1000 m depth the
        
        
          roof settlements can be three times larges when accounting for
        
        
          post-peak strength degradation.
        
        
          
            Martins and Miranda
          
        
        
          in their paper “Prediction of hard
        
        
          rock TBM penetration rate based on Data Mining techniques”
        
        
          apply artificial neural networks (ANN) and support vector
        
        
          machine algorithms (SVM) on a database of rock properties and
        
        
          TBM penetration rate (ROP) to evaluate the relative impact of
        
        
          each rock parameter on the ROP. The artificial neural network
        
        
          algorithm resulted in more accurate predictions, as it can be
        
        
          seen in Figure 18. For this database that only included fractured
        
        
          rock masses, the PSI parameter that quantify the brittleness and
        
        
          toughness of the rock was the most influential parameter. On
        
        
          the other hand the uniaxial compressive strength was the least
        
        
          influential one. On a rock mass with less joints and faults one
        
        
          could expect a different scenario.
        
        
          Figure 17. Correlation between the strength loss parameter and the
        
        
          normalized confining stress for the marbles in eastern Taiwan (after
        
        
          Hsiao and Chi).
        
        
          Figure 18. Comparison between the measured and predicted ROP for
        
        
          the ANN and the SVM models (after Martins and Miranda).
        
        
          A reader of this topic that is mostly familiar with soft soil
        
        
          tunneling will be able to take a brief look at the challenges and
        
        
          interesting approaches that pervade rock tunneling. A solid
        
        
          study of constitutive modeling for special rock conditions is
        
        
          given by
        
        
          
            Hsiao and Chi,
          
        
        
          in the general rock mechanics sense
        
        
          and applied to tunnel case studies.
        
        
          6 SEISMIC ANALYSIS OF TUNNELS
        
        
          al models
        
        
          an
        
        
          Three papers were classified under this topic. Analytic
        
        
          d numerical models were derived based on in situ testing,
        
        
          model tests and real cases. There are also some interesting