Effect of twin-parallel tunnels on seismic ground response due to vertically in-plane waves

Abstract In this paper, the effects of two long unsupported parallel tunnels on the seismic response of the ground surface are studied, using the boundary element method in the time-domain. The medium is assumed to have a linear elastic constitutive behavior subjected to vertically in-plane propagating incident SV and P waves. The ground surface amplification pattern above underground single and twin tunnels are examined based on the several effective parameters such as wavelength of the incident wave, buried depth, and spacing distance of the twin tunnels. It is evident that the seismic ground response above tunnels may be different from that of free-field motions during the seismic events. Moreover, the embedded depth and spacing distance of the twin tunnels have significant influences on the amplification patterns on the ground surface. Finally, some amplification coefficients are presented, which could be used while introducing simple preliminary ideas for modification of the standard design spectra in building codes.

[1]  O. A. Pekau,et al.  Time-Domain Boundary Element Method for Underground Structures in Orthotropic Media , 2004 .

[2]  Prasanta K. Banerjee,et al.  Two-dimensional transient wave-propagation problems by time-domain BEM , 1990 .

[3]  Guowei Ma,et al.  Assessment of underground tunnel stability to adjacent tunnel explosion , 2013 .

[4]  J. Domínguez,et al.  The time domain boundary element method for elastodynamic problems , 1991 .

[5]  Frank Wuttke,et al.  Seismic response of lined tunnels in the half-plane with surface topography , 2013, Bulletin of Earthquake Engineering.

[6]  Dong-Soo Kim,et al.  Effect of underground tunnel on the ground surface acceleration , 2014 .

[7]  Jianwen Liang,et al.  Diffraction of plane SV waves by a cavity in poroelastic half-space , 2009 .

[8]  Roger D. Borcherdt,et al.  Estimates of Site-Dependent Response Spectra for Design (Methodology and Justification) , 1994 .

[9]  M. Jafari,et al.  Applying a time-domain boundary element method for study of seismic ground response in the vicinity of embedded cylindrical cavity , 2013 .

[10]  David P. Thambiratnam,et al.  Dynamic response of twin circular tunnels due to incident SH‐waves , 1984 .

[11]  J.A.M. Carrer,et al.  Alternative time-marching schemes for elastodynamic analysis with the domain boundary element method formulation , 2004 .

[12]  Akira Ohtsuki,et al.  Effect of topography and subsurface inhomogeneities on seismic SV waves , 1983 .

[13]  M. Kamalian,et al.  ON TIME - DOMAIN TWO - DIMENSIONAL SITE RESPONSE ANALYSIS OF TOPOGRAPHIC STRUCTURES BY BEM , 2003 .

[14]  John T. Katsikadelis,et al.  Boundary Elements: Theory and Applications , 2002 .

[15]  M. Jafari,et al.  Seismic Response of 2-D Semi-Sine Shaped Hills to Vertically Propagating Incident Waves: Amplification Patterns and Engineering Applications , 2008 .

[16]  Hamid Alielahi,et al.  Site-specific response spectra for seismic motions in half-plane with shallow cavities , 2016 .

[17]  Tai-Tien Wang,et al.  Response of a tunnel in double-layer rocks subjected to harmonic P- and S-waves , 2014 .

[18]  P. W. Partridge,et al.  The dual reciprocity boundary element method , 1991 .

[19]  J. E. Luco,et al.  Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half‐space , 1994 .

[20]  Seyyed M. Hasheminejad,et al.  Harmonic wave diffraction by two circular cavities in a poroelastic formation , 2007 .

[21]  Z. Ba,et al.  3D Diffraction of obliquely incident SH waves by twin infinitely long cylindrical cavities in layered poroelastic half-space , 2013 .

[22]  Vincent W. Lee,et al.  DIFFRACTION OF SH-WAVES BY SUBSURFACE INCLUSIONS OF ARBITRARY SHAPE , 1996 .

[23]  M. Jafari,et al.  Time-domain two-dimensional site response analysis of non-homogeneous topographic structures by a hybrid BE/FE method , 2006 .

[24]  Prasanta K. Banerjee,et al.  Advanced time‐domain formulation of BEM for two‐dimensional transient elastodynamics , 1990 .

[25]  An efficient stabilized boundary element formulation for 2D time-domain acoustics and elastodynamics , 2007 .

[26]  Dimitri E. Beskos,et al.  Boundary Element Methods in Dynamic Analysis , 1987 .

[27]  Roberto Paolucci,et al.  Effect of underground cavities on surface earthquake ground motion under SH wave propagation , 2009 .

[28]  Deng-How Tsaur,et al.  MULTIPLE SCATTERING OF SH WAVES BY AN EMBEDDED TRUNCATED CIRCULAR CAVITY , 2012 .

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

[30]  Xue-Qian Fang,et al.  Dynamic interaction of two circular lined tunnels with imperfect interfaces under cylindrical P-waves , 2015 .

[31]  Antiplane Diffraction from Canyon above Subsurface Unlined Tunnel , 1999 .

[32]  Michele Maugeri,et al.  Earthquake Geotechnical Engineering Design , 2014 .

[33]  Madelyn Marrero,et al.  Numerical behavior of time domain BEM for three-dimensional transient elastodynamic problems , 2003 .

[34]  Kyriazis Pitilakis,et al.  Performance and Seismic Design of Underground Structures , 2014 .

[35]  H. Antes A boundary element procedure for transient wave propagations in two-dimensional isotropic elastic media , 1985 .

[36]  G. Manolis,et al.  Elastic wave fields in a half-plane with free-surface relief, tunnels and multiple buried inclusions , 2014 .

[37]  M. Kamalian,et al.  Seismic ground amplification by unlined tunnels subjected to vertically propagating SV and P waves using BEM , 2015 .

[38]  Dimitri E. Beskos,et al.  Transient dynamic elastoplastic analysis by the dual reciprocity BEM , 1993 .

[39]  Mohammad Hassan Baziar,et al.  Seismic ground motion amplification pattern induced by a subway tunnel: Shaking table testing and numerical simulation , 2016 .

[40]  Lianhua Wang,et al.  Scattering of plane P, SV or Rayleigh waves by a shallow lined tunnel in an elastic half space , 2013 .

[41]  Roland Martin,et al.  Multiple Scattering of Elastic Waves by Subsurface Fractures and Cavities , 2006 .

[42]  M. Yu,et al.  The effect of impedance contrast upon surface motion due to scattering of plane harmonic P, SV, and Rayleigh waves by a randomly corrugated elastic inclusion , 2013, Journal of Seismology.

[43]  Hiroshi Kawase,et al.  Time-domain response of a semi-circular canyon for incident SV, P, and Rayleigh waves calculated by the discrete wavenumber boundary element method , 1988 .

[44]  Qijian Liu,et al.  Dynamic response of twin closely-spaced circular tunnels to harmonic plane waves in a full space , 2012 .

[45]  M. Kamalian,et al.  A BEM investigation on the influence of underground cavities on the seismic response of canyons , 2016 .

[46]  G. Manolis,et al.  Dynamic response of tunnels in stochastic soils by the boundary element method , 2002 .

[47]  M. Dravinski,et al.  Scattering of plane harmonic SH waves by multiple inclusions , 2011 .

[48]  J. Domínguez Boundary elements in dynamics , 1993 .

[49]  Ian D. Moore,et al.  THREE‐DIMENSIONAL DYNAMIC RESPONSE OF LINED TUNNELS DUE TO INCIDENT SEISMIC WAVES , 1996 .