Stability analysis of shallow tunnels subjected to eccentric loads by a boundary element method

Abstract In this paper, stress behavior of shallow tunnels under simultaneous non-uniform surface traction and symmetric gravity loading was studied using a direct boundary element method (BEM). The existing full-plane elastostatic fundamental solutions to displacement and stress fields were used and implemented in a developed algorithm. The cross-section of the tunnel was considered in circular, square, and horseshoe shapes and the lateral coefficient of the domain was assumed as unit quantity. Double-node procedure of the BEM was applied at the corners to improve the model including sudden traction changes. The results showed that the method used was a powerful tool for modeling underground openings under various external as well as internal loads. Eccentric loads significantly influenced the stress pattern of the surrounding tunnel. The achievements can be practically used in completing and modifying regulations for stability investigation of shallow tunnels.

[1]  H. -B. Mühlhaus Lower bound solutions for circular tunnels in two and three dimensions , 1985 .

[2]  E. Davis,et al.  The stability of shallow tunnels and underground openings in cohesive material , 1980 .

[3]  Ivar Fredholm Sur une classe d’équations fonctionnelles , 1903 .

[4]  Evert Hoek,et al.  HOEK-BROWN FAILURE CRITERION - 2002 EDITION , 2002 .

[5]  Massimiliano Fraldi,et al.  Evaluation of impending collapse in circular tunnels by analytical and numerical approaches , 2011 .

[6]  Scott W. Sloan,et al.  Stability of dual square tunnels in cohesive-frictional soil subjected to surcharge loading , 2011 .

[7]  Arnold Verruijt,et al.  DEFORMATIONS OF AN ELASTIC HALF PLANE WITH A CIRCULAR CAVITY , 1998 .

[8]  Scott W. Sloan,et al.  Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading , 2011 .

[9]  Toshihisa Adachi,et al.  Laboratory model tests and FE analyses on tunneling in the unconsolidated ground with inclined layers , 2002 .

[10]  D. V. Griffiths,et al.  Numerical modelling of the trap door problem , 1989 .

[11]  Evert Hoek,et al.  Strength of jointed rock masses , 1983 .

[12]  R. K. Rowe,et al.  AN ANALYSIS OF THREE-DIMENSIONAL GROUND MOVEMENTS: THE THUNDER BAY TUNNEL , 1991 .

[13]  Ph Banergee,et al.  THREE-DIMENSIONAL ANALYSIS OF RAKED PILE GROUPS. , 1976 .

[14]  Mehdi Panji,et al.  Evaluation of Effective Parameters on the Underground Tunnel Stability Using BEM , 2011 .

[15]  Harry G. Poulos,et al.  Geomechanics abstract general BookElastic solutions for soil and rock mechanics. Textbook. Figs, Tabls, Refs : John Wiley and Sons Inc. 1974, 411P , 1974 .

[16]  Massimiliano Fraldi,et al.  Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion , 2009 .

[17]  Carlos Alberto Brebbia,et al.  Boundary Elements: An Introductory Course , 1989 .

[18]  P. K. Kaiser,et al.  Hoek-Brown parameters for predicting the depth of brittle failure around tunnels , 1999 .

[19]  Hans Muhlhaus Lower bound solutions for circular tunnels in two and three dimensions , 1985 .

[20]  C. B. Kooi,et al.  Interaction of circular holes in an infinite elastic medium , 2001 .

[21]  Jorge G. Zornberg,et al.  Numerical Analysis of a Tunnel in Residual Soils , 2002 .

[22]  P. K. Banerjee,et al.  Boundary element methods in engineering science , 1981 .

[23]  R. K. Rowe,et al.  A theoretical examination of the settlements induced by tunnelling: four case histories , 1983 .

[24]  Massimiliano Fraldi,et al.  Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections , 2010 .

[25]  M. Popescu Boundary element methods in solid mechanics , 1985 .

[26]  Robert J. Mair,et al.  Centrifugal modelling of tunnel construction in soft clay , 1980 .

[27]  M. Jao,et al.  STABILITY OF STRIP FOOTINGS ABOVE CONCRETE-LINED SOFT GROUND TUNNELS , 1998 .

[28]  E. Hoek,et al.  A brief history of the development of the Hoek-Brown failure criterion , 2007, Soils and Rocks.

[29]  Daniel W. Wilson,et al.  Stability of a single tunnel in cohesive – frictional soil subjected to surcharge loading , 2011 .

[30]  Scott W. Sloan,et al.  STABILITY OF SHALLOW TUNNELS IN SOFT GROUND , 1993 .

[31]  D. Sikarskie,et al.  On the Solution of Plane, Orthotropic Elasticity Problems by an Integral Method , 1972 .

[32]  E. Leca,et al.  Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material , 1990 .