Canyon topography effects on ground motion: Assessment of different soil stiffness profiles

Authors

DOI:

https://doi.org/10.4067/S0718-28132019000100051

Keywords:

Topography effect, Soil amplification, Numerical modelling, Finite element

Abstract

The effect of topography on ground motion has been well recognized during numerous earthquakes. Several studies present observational evidence from destructive earthquakes, where the damage is higher in the vicinity of hills and near slope crests. Furthermore, a number of numerical studies aimed to reproduce this phenomenon using different numerical methods, e.g. Finite Elements, Finite Differences and Boundary Elements have been carried out. Most of these investigations involve parametric studies, considering different variables. However, one of the assumptions of these studies is a homogeneous soil stiffness with depth, which is not in most cases realistic. This article investigates the effects of canyon topography on ground motion considering different soil stiffness profiles over a rigid bedrock. Three soil profiles with stiffness variation with depth are examined and compared to the case of a soil layer of uniform stiffness. An additional analysis of a twolayer medium lying above half-space is also considered. Time domain numerical analyses are carried out with the Imperial College Finite Element Program ICFEP, considering linear elastic soil behaviour over rigid bedrock. The input motions are wavelets of harmonic nature, modified by a Saragoni and Hart (1973) temporal filter. These wavelets with a characteristic. pulse period Tp in the range of 0.1 s to 2 s are analysed. This study confirms that the topographic amplification extrema are located between the natural periods of the corresponding one-dimensional free-field profile in agreement with recent previous studies. Furthermore, the amplitude of the topographic amplification peaks is shown to change for the different examined soil stiffness profiles.

References

Ambraseys, N.N. (1959). A note on the response of an elastic overburden of varying rigidity to an arbitrary ground motion. Bulletin of the Seismological Society of America 49(3), 211-220.

ASCE 7-02 (2005). Minimum design loads for buildings and other structures. American Society of Civil Engineers ASCE 7, ASCE Standard, SEI/ASCE 7-02, Reston, VA, USA.

Ashford, S.A., Sitar, N., Lysmer, J. and Deng, N. (1997). Topographic effects on the seismic response of steep slopes. Bulletin of the Seismological Society of America 87(3), 701-709.

Assimaki, D. and Mohammadi, K. (2017). On the complexity of seismic waves trapped in non-flat geologic features. 3rd International Conference on Performance Based Design in Earthquake Geotechnical Engineering PBD-III, Vancouver, Canada.

Assimaki, D. and Jeong, S. (2013). Ground-motion observations at hotel Montana during the M 7.0 2010 Haiti earthquake: Topography or soil amplification?. Bulletin of the Seismological Society of America 103(5), 2577–2590.

Assimaki, D., Gazetas, G. and Kausel, E. (2005). Effects of local soil conditions on the topographic aggravation of seismic motion: Parametric investigation and recorded field evidence from the 1999 Athens earthquake. Bulletin of the Seismological Society of America 95(3), 1059–1089.

Assimaki, D., Kausel, E. and Gazetas, G. (2005a). Soildependent topographic effects: A case study from the 1999 Athens earthquake. Earthquake Spectra 21(4), 929–966.

Assimaki, D. and Gazetas, G. (2004). Soil and topographic amplification on Canyon Banks and the 1999 Athens Earthquake. Journal of Earthquake Engineering 8(1), 1-43.

Bielak, J., Loukakis, K., Hisada, Y. and Yoshimura, C. (2003). Domain reduction method for three-dimensional earthquake modeling in localized regions, Part I: Theory. Bulletin of the Seismological Society of America 93(2), 817-824.

Boore, D.M. (1972). A note on the effect of simple topography on seismic SH waves. Bulletin of the Seismological Society of America 62(1), 275-284.

Bouchon, M. and Barker, J.S. (1996). Seismic response of a hill: the example of Tarzana, California. Bulletin of the Seismological Society of America 86(1A), 66-72.

Bouckovalas, G.D. and Papadimitriou, A.G. (2005). Numerical evaluation of slope topography effects on seismic ground motion. Soil Dynamics and Earthquake Engineering 25(7-10), 547-558.

Celebi, M. (1987). Topographical and geological amplifications determined from strong-motion and aftershock records of the 3 March 1985 Chile earthquake. Bulletin of the Seismological Society of America 77(4), 1147-1167.

Dobry, R., Oweis, I. and Urzua, A. (1976). Simplified procedures for estimating the fundamental period of soil profile. Bulletin of the Seismological Society of America 66(4), 1293-321.

Eurocode 8 (1998). Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings. European Standard EN 1998-1:2004, Brussels, Belgium.

Geli, L., Bard, P.Y. and Jullien, B. (1988). The effect of topography on earthquake ground motion: a review and new results. Bulletin of the Seismological Society of America 78(1), 42-63.

Hancox, G. and Perrin, N. (2011). Report on landslide reconnaissance flight on 24 February 2011 following the Mw 6.3 Christchurch earthquake of 22 February 2011. GNS Science immediate report, March 2011.

IBC (2003). International Building Code. International Code Council, Inc., Falls Church, VA, USA.

Kontoe, S., Zdravkovic, L. and Potts, D.M. (2009). An assessment of the domain reduction method as an advanced boundary condition and some pitfalls in the use of conventional absorbing boundaries. International Journal for Numerical and Analytical Methods in Geomechanics 33(3), 309-330.

Kottke, A. and Rathje, E. (2013). Technical manual for strata. Report No. 2008/10, Pacific Earthquake Engineering Research Center Berkeley, California.

Kuhlemeyer, R.L. and Lysmer, J. (1973). Finite element method accuracy for wave propagation problems. Journal of Soil Mechanics and Foundation Division 99(5), 421-427.

Pedersen, H., LeBrun, B., Hatzfield, D., Campillo, M. and Bard, P.Y. (1994). Ground motion amplitude across ridges. Bulletin of the Seismological Society of America 84(6), 1786-1800.

Potts, D.M. and Zdravković L.T. (1999). Finite element analysis in geotechnical engineering: theory. Thomas Telford, London.

Rathje, E.M., Bachhuber, J., Dulberg, R., Cox, B.R., Kottke, A., Wood, C., Green, R., Olson, S., Wells, D. and Rix, G. (2011). Damage patterns in Port-au-Prince during the 2010 Haiti Earthquake. Earthquake Spectra 27(S1), S117–S136.

Rizzitano, S., Cascone, E. and Biondi, G. (2014). Coupling of topographic and stratigraphic effects on seismic response of slopes through 2D linear and equivalent linear analyses. Soil Dynamics and Earthquake Engineering 67, 66-84.

Saragoni, G.R. and Hart, G.C. (1973). Simulation of artificial earthquakes. Earthquake Engineering and Structural Dynamics 2(3), 249-267.

Skiada, E., Kontoe, S., Stafford, P.J. and Potts D.M. (2018). Ground surface amplification for canyon topographies excited with bi-directional earthquake records. 16th European Conference on Earthquake Engineering, Thessaloniki, Greece.

Skiada, E., Kontoe, S., Stafford, P.J. and Potts, D.M. (2017). Canyon topography effects on ground motion. 16th World Conference on Earthquake 16WCEE, Santiago, Chile.

Skiada, E., Kontoe, S., Stafford, P.J. and Potts, D.M. (2017a). Ground motion amplification for canyon topographies with different input motions. 3rd International Conference on Performance Based Design in Earthquake Geotechnical Engineering PBD-III, Vancouver, BC, Canada.

Toro, G.R. (1995). Probabilistic models of site velocity profiles for generic and site-specific ground-motion amplification studies. Technical Report 779574. Upton, New York.

Tripe, R., Kontoe, S. and Wong, T.K.C. (2013). Slope topography effects on ground motion in the presence of deep soil layers. Soil Dynamics and Earthquake Engineering 50, 72-84.

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Published

2019-06-01

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How to Cite

Canyon topography effects on ground motion: Assessment of different soil stiffness profiles. (2019). Obras Y Proyectos, 25, 51-58. https://doi.org/10.4067/S0718-28132019000100051