 
          1726
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          (10)
        
        
          The settlements of buildings of extended length, which are
        
        
          situated at a certain distance from the axis of the tunnel are,
        
        
          respectively
        
        
          
            )
          
        
        
          
            k
          
        
        
          
            q )x(
          
        
        
          
            ( )x(S
          
        
        
          
            II
          
        
        
          
            II
          
        
        
          
            II
          
        
        
            
        
        
          (11)
        
        
          The parameters of formula (11) are:
        
        
          
            max v
          
        
        
          
            SC
          
        
        
          
        
        
          
        
        
          1
        
        
          ,
        
        
          ,
        
        
          2
        
        
          2
        
        
          2
        
        
          
            x
          
        
        
          
            l /C
          
        
        
          
        
        
          4
        
        
          4
        
        
          
            EJ /k
          
        
        
          
        
        
          ,
        
        
          ,
        
        
          
            EJ /
          
        
        
          
            A
          
        
        
          3
        
        
          1
        
        
          81
        
        
           
        
        
          
            EJ /
          
        
        
          
            A
          
        
        
          3
        
        
          2
        
        
          21
        
        
           
        
        
          ,
        
        
          2
        
        
          2
        
        
          
            A k))
          
        
        
          
            /(
          
        
        
          
            (
          
        
        
          
            II
          
        
        
            
        
        
           
        
        
          ,
        
        
          
            ) / (L x )x(N
          
        
        
          
            II
          
        
        
           
        
        
          2
        
        
          2
        
        
          ,
        
        
          
        
        
          
        
        
          
            )))) x(N sin( b ))x(N cos( a(
          
        
        
          
            )x(N (cos
          
        
        
          
            e )x(
          
        
        
          
            II
          
        
        
          
            II
          
        
        
          
            II
          
        
        
          
            )Lx(
          
        
        
          
            II
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
           
        
        
           
        
        
          where
        
        
          
            a
          
        
        
          and
        
        
          
            b
          
        
        
          are parameters for which we have compiled
        
        
          tables of values as a function of
        
        
          
            L
          
        
        
          , β, and λ.
        
        
          Similar results were obtainedfor an infinitebeam, that is, for
        
        
          the building above thetunnel.
        
        
          The values of
        
        
          
            EJ
          
        
        
          for buildings with a different number of
        
        
          stories can be determined from recommendation of
        
        
          Franzius and
        
        
          Addenbrooke
        
        
          (2002), and used for determination of the
        
        
          influence exerted by the weight and stiffness of the building on
        
        
          the settlement of the surface above the tunnel. Here, an
        
        
          
            n
          
        
        
          -story
        
        
          building will c nsist of
        
        
          
            n
          
        
        
          +1 coverings.
        
        
          o
        
        
          The coefficient of subgrade reaction
        
        
          
            k
          
        
        
          is (0.3-0.9)
        
        
          ڄ
        
        
          10
        
        
          4
        
        
          when
        
        
          
            E
          
        
        
          < 10; (1-2.9)
        
        
          ڄ
        
        
          10
        
        
          4
        
        
          when
        
        
          
            E
          
        
        
          = 10-20; and (3-8)
        
        
          ڄ
        
        
          10
        
        
          4
        
        
          kN/m
        
        
          3
        
        
          when
        
        
          
            E
          
        
        
          =
        
        
          21-35 MPa (Uhov et al. 1994).
        
        
          Let us examine the single-story brick building of rectangular
        
        
          planform at No. 31 Gruzinskii Street (Fig. 6).The utility tunnel
        
        
          with
        
        
          
            D
          
        
        
          =4.0 m is being constructed by a Lovat RME 163 SE
        
        
          tunneling unit. In the section under consideration,
        
        
          
            H
          
        
        
          =3.0 m, and
        
        
          the load on the foundation
        
        
          
            q
          
        
        
          = 26 kN/m
        
        
          2
        
        
          . Plots of the building's
        
        
          settlements, which were obtained by numerical modeling via the
        
        
          PLAXIS 2D program in the plane statement using a Coulomb-
        
        
          Mohr model, field data, and data determined from formula (11)
        
        
          are presented in Fig. 6, b.
        
        
          a)
        
        
          b)
        
        
          Figure 6. Diagram showing building and tunnel (a); building-
        
        
          settlement plots (b): 1) computed settlements (PLAXIS method); 2)
        
        
          computed deflections of beam (experimental-analytical method); 3)
        
        
          measured settlements.
        
        
          5 MEASURES FOR MODERNIZATION OF PROCEDURE
        
        
          FOR OPENING SHALLOW TUNNELS
        
        
          Different methods are employed to reduce the influence exerted
        
        
          by the opening of tunnels on building settlements: installation of
        
        
          cut-off walls, strengthening of the beds and foundations, and
        
        
          also the superstructures of the buildings, compensation
        
        
          injection, etc.  In soils comprised of silty, saturated sands,
        
        
          however, chemical stabilization above the tunnel does not
        
        
          always yield positive results (for example, the collector along
        
        
          the Gruzinskii Street line). Strengthening of the foundations
        
        
          with piles is not always possible.
        
        
          In addition to the existing protective measures, we are
        
        
          proposing measures for modernization of opening procedures,
        
        
          which are directed toward reduction of ground-surface and
        
        
          building settlements. They include modification of the
        
        
          properties of the grout injected into the space behind the lining;
        
        
          reduction of the construction clearance that develops as the
        
        
          shield is advanced; and, continuous pumping of the mixture in
        
        
          the space behind the lining as the shield advances.
        
        
          
            ))) x
          
        
        
          
            L sin( b)x
          
        
        
          
            L cos( a(
          
        
        
          
            x
          
        
        
          
            L (cos
          
        
        
          
            e
          
        
        
          
            EJ
          
        
        
          
            k )x(y
          
        
        
          
            L x
          
        
        
          
            II
          
        
        
          
        
        
          
        
        
            
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
           
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          2
        
        
          2
        
        
          2
        
        
          3
        
        
          2
        
        
          1
        
        
          2
        
        
          1
        
        
          2
        
        
          1
        
        
          4
        
        
          Implementation of these measures on the construction
        
        
          project for the collector along the Gruzinskii Street line has
        
        
          resulted in a settlement reduction of up to seven times.
        
        
          6 CONCLUSIONS
        
        
          Rules are established for ground-surface deformation during the
        
        
          opening of shallow utility tunnels.
        
        
          Plots are presented for ground-surface deformations under
        
        
          the geologic-engineering conditions of Moscow. The work zone
        
        
          is defined in accordance with geotechnical monitoring.
        
        
          A method is developed for prediction of building
        
        
          settlements during the opening of shallow utility tunnels on the
        
        
          basis of analytical solution of the problem of a beam on a
        
        
          Winkler bed with an assigned support-lines displacement
        
        
          describing the vertical displacements of the ground surface.
        
        
          Formulas for determination of the settlements of the ground
        
        
          surface and building during construction of shallow utility
        
        
          tunnels can be used when
        
        
          
            H
          
        
        
          /
        
        
          
            D
          
        
        
          = 1-2.5.
        
        
          Measures for modernization of the opening procedure, the
        
        
          implementation of which has led to a seven-fold reduction in
        
        
          settlements on a project, are proposed.
        
        
          The
        
        
          investigations
        
        
          conducted
        
        
          were
        
        
          based
        
        
          on
        
        
          Recommendations (2007) (the work was performed by order of
        
        
          the publicly owned joint-stock company Mosinzhproekt).
        
        
          7 REFERENCES
        
        
          PeckR.B. 1969.Deep excavation and tunneling in soft ground.State-of-
        
        
          the-art report.
        
        
          
            Proceedings of the Seventh International Conference
          
        
        
          
            on Soil Mechanics and Foundation Engineering
          
        
        
          , Mexico City, pp.
        
        
          147-150.
        
        
          Burland J.B., Standing J.R., and Jardine F.M. 2001.Building Response
        
        
          to Tunneling.
        
        
          
            Case Studies from Construction of the Jubilee Line
          
        
        
          
            Extension
          
        
        
          ,
        
        
          
            London
          
        
        
          , Vol.
        
        
          
            1
          
        
        
          : Projects and Methods, Imperial College,
        
        
          SIRIA, London, United Kingdom.
        
        
          Clough G.W. and SchmidtB. 1981. Design and performance of
        
        
          excavations and tunnels in soft clay,
        
        
          
            Soft Clay Engineering
          
        
        
          , edited
        
        
          by E. W. Brand and R. Brenner, 569-634.
        
        
          
            Moscow City Building Code 2-07-97
          
        
        
          ,
        
        
          
            Beds, Foundations, and
          
        
        
          
            Underground Structures
          
        
        
          [in Russian], Moscow Government,
        
        
          Moscow (1998).
        
        
          N. S. Nikiforova 2008. Laws governing bed deformation of buildings
        
        
          near deep trenches, and protective measures.
        
        
          
            Author's abstract of
          
        
        
          
            dissertation for Doctor of Technical Sciences
          
        
        
          , Moscow.
        
        
          Ilyichev V.А., Konovalov P.A., Nikiforova N.S., Tupikov M.M. 2009
        
        
          Prediction of surface deformations, caused by shallow service
        
        
          tunnels construction activities in Moscow.
        
        
          
            Proc 17
          
        
        
          
            th
          
        
        
          
            International
          
        
        
          
            Conference on Soil Mechanics and Geotechnical Engineering (17th
          
        
        
          
            ICSMGE)
          
        
        
          .-Egypt, Alexandria, 1993-1996.
        
        
          Korenev B.G. 1954.
        
        
          
            Analysis of Beams and Plates on an Elastic Bed
          
        
        
          [in
        
        
          Russian], Gosstroiizdat, Moscow.
        
        
          Franzius J.N. and Addenbrooke T.I. 2002. The influence of building
        
        
          weight on the relative stiffness method of predicting tunneling-
        
        
          induced building deformation,
        
        
          
            Proceedings of the Third
          
        
        
          
            International Symposium (IS-Toulouse 2002) "Geotechnical
          
        
        
          
            Aspects of Underground Construction in Soft Ground
          
        
        
          ,"
        
        
          
            First
          
        
        
          
            Session: Design Methods of Tunnels: Stability, Settlements, and
          
        
        
          
            Tunnel Lining
          
        
        
          s, Tolouse, France, 23-25 October 2002, 53-57.