Acknowledgement
The authors would like to thank the reviewers for their valuable and constructive comments which improved the quality of the paper.
References
- Abuhajar, O., El Naggar, H. and Newson, T. (2002), "Effects of underground structures on amplification of seismic motion for sand with varying density", 2011 Pan-Am CGS Geotechnical Conference, Ontario, Canada, October.
- Abuhajar, O., El Naggar, H. and Newson, T. (2015), "Experimental and numerical investigations of the effect of buried box culverts on earthquake excitation", Soil Dyn. Earthq. Eng., 79, 130-148, http://dx.doi.org/10.1016/j.soildyn.2015.07.015.
- Ahmad, N., Ali, Q., Ashraf, M., Alam, B. and Naeem, A. (2012), "Seismic vulnerability of the Himalayan half-dressed rubble stone masonry structures, experimental and analytical studies", Nat. Hazards Earth Syst. Sci., 12(11), 3441-3454, https://doi.org/10.5194/nhess-12-3441-2012.
- Ahmad, N., Shahzad, A., Rizwan, M., Khan, A.N., Ali, S.M., Ashraf, M., Naseer, A., Ali, Q. and Alam, B. (2017), "Seismic performance assessment of non-compliant SMRF reinforced concrete frame: Shake-table test study", J. Earthq. Eng., 23(3), 444-462, https://doi.org/10.1080/13632469.2017.1326426.
- Alielahi, H. and Adampira, M. (2016a), "Site-specific response spectra for seismic motions in half-plane with shallow cavities", Soil Dyn. Earthq. Eng., 80, 163-167, http://dx.doi.org/10.1016/j.soildyn.2015.10.003.
- Alielahi, H. and Adampira, M. (2016b), "Effect of twin-parallel tunnels on seismic ground response due to vertically in-plane waves", Int. J. Rock Mech. Mining Sci., 85, 67-83, http://dx.doi.org/10.1016/j.ijrmms.2016.03.010.
- Alielahi, H., Kamalian, M. and Adampira, M. (2015), "Seismic ground amplification by unlined tunnels subjected to vertically propagating SV and P waves using BEM", Soil Dyn. Earthq. Eng., 71, 63-79, http://dx.doi.org/10.1016/j.soildyn.2015.01.007.
- Alielahi, H., Kamalian, M. and Adampira, M. (2016), "A BEM investigation on the influence of underground cavities on the seismic response of canyons", Acta Geotechnica, 11(2), 391-413, https://doi.org/10.1007/s11440-015-0387-7.
- Baziar, M.H., Moghadam, M.R., Choo, Y.W. and Kim, D. (2016), "Tunnel flexibility effect on the ground surface acceleration response", Earthq. Eng. Eng. Vib., 15(3), 457-476, https://doi.org/10.1007/s11803-016-0336-y.
- Baziar, M.H., Moghadam, M.R., Kim, D.S. and Choo, Y. W. (2014), "Effect of underground tunnel on the ground surface acceleration", Tunnel. Underground Space Technol., 44, 10-22, http://dx.doi.org/10.1016/j.tust.2014.07.004.
- Besharat, V., Davoodi, M. and Jafari, M.K. (2012), "Effect of underground structures on free-field ground motion during earthquakes", The 15th World Conference on Earthquake Engineering, Lisboa, Portugal, September.
- Courant, R., Friedrichs, K. and Lewy, H. (1967), "On the partial difference equations of mathematical physics", IBM J., 3, 215-234, https://doi.org/10.1147/rd.112.0215.
- Doyle, J.F. (1989), "Wave Propagation in Structures: An FFT-Based Spectral Analysis Methodology", Springer, New York, NY, U.S.A.
- Franza, A., Marshall, A., M. Haji, T., Abdelatif, A.O., Carbonari, S. and Morici, M. (2017), "A simplified elastic analysis of tunnel-piled structure interaction", Tunnel. Underground Space Technol., 61, 104-121, http://dx.doi.org/10.1016/j.tust.2016.09.008.
- Liang, J., Zhang, J. and Ba, Z. (2012), "The effect of underground cavities on design seismic ground motion", The 15th World Conference on Earthquake Engineering, Lisboa, Portugal, September.
- Jafarnia, M. and Varzaghani, M.I. (2016), "Effect of near field earthquake on the monuments adjacent to underground tunnels using hybrid FEA-ANN technique", Earthq. Struct., 10(4), 757-768, http://dx.doi.org/10.12989/eas.2016.10.4.757.
- Joyner, W.B. and Chen, A.T.F. (1975), "Calculation of nonlinear ground response in earthquakes", Bull. Seismol. Soc. Ame., 65(5), 1315-1336.
- Lee, C.J., Jeon, Y.J., Kim, S.H. and Park, I.J. (2016), "The influence of tunnelling on the behaviour of pre-existing piled foundations in weathered soil", Geomech. Eng, 11(4), 553-570, http://dx.doi.org/10.12989/gae.2016.11.4.553.
- Lysmer, J. and Kuhlemeyer, R.L. (1969), "Finite dynamic model for infinite media", J. Eng. Mech. Div., 95, 859-878. https://doi.org/10.1061/JMCEA3.0001144
- McKenna, F., Scott, M.H. and Fenves, G.L. (2010), "Nonlinear Finite-Element analysis software architecture using object composition", J. Comput. Civil Eng., 24(1), 95-107, https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
- Pitilakis, K., Tsinidis, G., Leanza, A. and Maugeri, M. (2014), "Seismic behaviour of circular tunnels accounting for above ground structures interaction effects", Soil Dyn. Earthq. Eng., 67, 1-15, http://dx.doi.org/10.1016/j.soildyn.2014.08.009.
- Rizwan, M., Ahmad, N. and Khan, A.N. (2019), "Seismic performance of RC frame having low strength concrete: Experimental and numerical studies", Earthq. Struct., 17(1), 75-89, https://doi.org/10.12989/eas.2019.17.1.075.
- Rostami, A., Ziarati, M.A., Shahi, B. and Jahani, S. (2016), "Evaluation of seismic behavior and Earth's surface acceleration, by interaction of tunnels with different shapes and different types of soils", Open J. Civil Eng., 6, 242-253, http://dx.doi.org/10.4236/ojce.2016.62022.
- Safak, E. (1999), "Wave-propagation formulation of seismic response of multistory buildings", J. Struct. Eng., 125(4), 426-437, https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(426).
- Sgarlato, G., Lombardo, G. and Rigano, R. (2011), "Evaluation of seismic site response nearby underground cavities using earthquake and ambient noise recordings: A case study in Catania area, Italy", Eng. Geology, 122(3-4), 281-291, https://doi.org/10.1016/j.enggeo.2011.06.002.
- Sica, S., Russo, A.D., Rotili, F. and Simonelli, A.L. (2014), "Ground motion amplification due to shallow cavities in nonlinear soils", 71, 1913-1935, https://doi.org/10.1007/s11069-013-0989-z.
- Sisman, R. and Ayvaz, Y. (2019a), "Comparative modelling of soil - underground structure - surface structure interactions", International Civil Engineering and Architecture Conference, Trabzon, Turkey, April.
- Sisman, R. and Ayvaz, Y. (2019b), "Effect of mass ratio on racking ratios of underground structures under seismic loading", International Civil Engineering and Architecture Conference, Trabzon, Turkey, April.
- Smerzini, C., Aviles, J., Paolucci, R. and Sanchez-Sesma, F. J. (2009), "Effect of underground cavities on surface earthquake ground motion under SH wave propagation", Earthq. Eng. Struct. Dyn., 38(12), 1441-1460, https://doi.org/10.1002/eqe.912.
- Smerzini, C., Avile's, J., Sa'nchez-Sesma, F.J. Paolucci, R., Santini, A. and Moraci, N. (2008), "Analytical solutions for the seismic response of underground structures under SH wave propagation", AIP Conference Proceedings, Reggio Calabria, Italy, July.
- Tsinidis, G. (2017), "Response characteristics of rectangular tunnels in soft soil subjected to transversal ground shaking", Tunnel.Underground Space Technol., 62, 1-22, http://dx.doi.org/10.1016/j.tust.2016.11.003.
- Tsinidis, G. (2018), "Response of urban single and twin circular tunnels subjected to transversal ground seismic shaking", Tunnel. Underground Space Technol., 76, 177-193, https://doi.org/10.1016/j.tust.2018.03.016.
- Tsinidis, G. and Pitilakis, K. (2018), "Improved R-F relations for the transversal seismic analysis of rectangular tunnels", Soil Dyn. Earthq. Eng., 107, 48-65, https://doi.org/10.1016/j.soildyn.2018.01.004.
- PEER Ground Motion Database - PEER Center (2019), PEER Ground Motion Database, UC Berkeley, Californina, USA. https://ngawest2.berkeley.edu/.
- OpenSeesWiki (2019), "OpenSeesWiki", UC Berkeley, Californina, USA. http://opensees.berkeley.edu/wiki/index.php/PressureIndependMultiYield_Material.
- TBEC (2018), "Turkish building earthquake code", Disaster and Emergency Management Presidency; Ankara, Turkey.
- Uang, C.M. and Maarouf, A. (1994), "Deflection amplification factor for seismic design provisions", J. Struct. Eng., 120(8), 2423-2436, https://doi.org/10.1061/(ASCE)07339445(1994)120:8(2423).
- Wang, G., Yuan, M., Miao, Y., Wu, J. and Wang, Y. (2018), "Experimental study on seismic response of underground tunnel-soil-surface structure interaction system", Tunnel. Underground Space Technol., 76, 145-159, https://doi.org/10.1016/j.tust.2018.03.015.
- Wang, H., Lou, M., Chen, X. and Zhai, Y. (2013), "Structure-soil-structure interaction between underground structure and ground structure", Soil Dyn. Earthq. Eng., 54, 31-38, http://dx.doi.org/10.1016/j.soildyn.2013.07.015.
- Wang, H., Lou, M. and Zhang, R. (2017), "Influence of presence of adjacent surface structure on seismic response of underground structure", Soil Dyn. Earthq. Eng., 100, 131-143, http://dx.doi.org/10.1016/j.soildyn.2017.05.031.
- Xu, Z., Du, X., Xu, C., Hao, H., Bi, K. and Jiang, J. (2019), "Numerical research on seismic response characteristics of shallow buried rectangular underground structure", Soil Dyn. Earthq. Eng., 116, 242-252, https://doi.org/10.1016/j.soildyn.2018.10.030.
- Yiouta-Mitra, P., Kouretzis, G., Bouckovalas, G. and Sofianos, A. (2007), "Effect of underground structures in earthquake resistant design of surface structures", Geo-Denver 2007: New Peaks in Geotechnics, 1-10, Denver, Colorado, USA, February.
- Zidan, A.F. and Ramadan, O.M. (2018), "A hybrid MC-HS model for 3D analysis of tunnelling under piled structures", Geomech. Eng., 14(5), 479-489. https://doi.org/10.12989/gae.2018.14.5.479.