Modified Topographic Amplification Factors for a Single-Faced Slope due to Kinematic Soil-Structure Interaction
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 133, Issue 11
Abstract
In this paper, we evaluate the additive effects of topography, soil nonlinearity, and soil-structure interaction (SSI) along the crest of an idealized high cliff-type topographic feature with slope inclination , where excessive damage was observed during the Athens 1999 earthquake. The objective of this paper is to investigate the relative contribution of topographic amplification, and kinematic SSI as a function of the incident motion frequency content and geotechnical site conditions for a surface and an embedded structure located at the cliff crest. For this purpose, we perform elastic parametric and nonlinear site-specific two-dimensional finite element simulations using three profiles and six input motions. We illustrate the role of SSI in altering the response at the location of peak topographic amplification potential behind the crest, the effects of incident motion incoherency on the transient structural response, and the beneficial contribution of structural embedment. We finally suggest that empirical models for base-slab averaging of shallow foundations, developed as a function of site conditions, structural dimensions and center line location, could be combined with topographic amplification factors to predict realistic design spectra for structures located on irregular topographic features.
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References
Ashford, S. A., Sitar, N., Lysmer, J., and Deng, N. (1997). “Topographic effects on the seismic response of steep slopes.” Bull. Seismol. Soc. Am., 87(3), 701–709.
Assimaki, D. (2004). “Topography effects in the 1999 Athens earthquake: Engineering issues in seismology.” Sc.D. thesis, Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering. Cambridge, Mass.
Assimaki, D., and Gazetas, G. (2004b). “Soil and topographic amplification on canyon banks and the Athens 1999 earthquake.” J. Earthquake Eng., 8(1), 1–44.
Assimaki, D., Gazetas, G., and Kausel, E. (2005a). “Effects of local soil conditions on the topographic aggravation of seismic motion: Parametric investigation and recorded field evidence from the 1999 Athens earthquake.” Bull. Seismol. Soc. Am., 95(3), 1059–1089.
Assimaki, D., Kausel, E., and Gazetas, G. (2005b). “Soil-dependent topographic effects: A case study from the 1999, Athens earthquake.” Earthquake Spectra, 21(4), 929–966.
Assimaki, D. Kausel, E., and Gazetas, G. (2005c). “Wave propagation and soil-structure interaction on a cliff crest during the 1999 Athens earthquake.” Soil Dyn. Earthquake Eng., 25(7–10), 513–527.
Bard, P. Y. (1982). “Diffracted waves and displacement field over two dimensional elevated topographies.” Geophys. J. R. Astron. Soc., 71, 731–760.
Bard, P. Y., and Tucker, B. E. (1985). “Ridge and tunnel effects: Comparing observations with theory.” Bull. Seismol. Soc. Am., 75, 905–922.
Boore, D. M. (1972). “Note on the effect of topography on seismic SH waves.” Bull. Seismol. Soc. Am., 62, 275–284.
Borja, R. I., Wu, W.-H., Amies, A. P., and Smith, H. A. (1994). “Nonlinear lateral, rocking, and torsional vibration of rigid foundations.” J. Geotech. Engrg., 120(3), 491–513.
Borja, R. I., Wu, W.-H., and Smith, H. A. (1993). “Nonlinear response of vertically oscillating rigid foundations.” J. Geotech. Engrg., 119(5), 893–911.
Bouchon, M. (1973). “Effect of topography on surface motion.” Bull. Seismol. Soc. Am., 63, 615–632.
Bouchon, M., Schultz, C. A., and Toksoz, M. N. (1995). “Effect of 3D topography on seismic motion.” J. Geophys. Res., 10(B3), 5835–5846.
Celebi, M. (1987). “Topographical and geological amplifications determined from strong-motion and aftershock records of the 3 March 1985 Chile earthquake.” Bull. Seismol. Soc. Am., 77, 1147–1157.
Deng. (1991). “Two-dimensional site response analyses.” Ph.D. thesis, Univ. of California at Berkeley, Berkeley, Calif.
Elsabee, F., and Morray, J. P. (1977). “Dynamic response of arbitrary shaped foundations.” Rep. No. R77-33, Dept. of Civil Engineering, MIT, Cambridge, Mass.
European seismic code (EC8). (2000). “Design provisions for earthquake resistance of structures. Part 1—1: General rules—Seismic actions and general requirements for structures.” prEN. 1998–5, European Committee for Standardization, Brussels.
Fu, L.-Y. (2005). “Rough surface scattering: Comparison of various approximation theories for 2D SH waves.” Bull. Seismol. Soc. Am., 95, 646–663.
Gazetas, G., Kallou, P. V., and Psarropoulos, P. N. (2002). “Topography and soil effects in the MS 5.9 Parnitha (Athens) earthquake: The case of Adàmes.” Natural Hazards, 27(1–2), 133–169.
Geli, L., Bard, P.-Y., and Jullien, B. (1988). “The effect of topography on earthquake ground motion: A review and new results.” Bull. Seismol. Soc. Am., 78, 42–63.
Hayashi, H., Honda, M., and Yamada, T. (1992). “Modeling of nonlinear stress strain relations of sands for dynamic response analysis.” Proc., World Conf. on Earthquake Engineering, Vol. 11, Balkema, Rotterdam, The Netherlands, 6819–6825.
Hayashi, K., Burns, D. R., and Toksöz, M. N. (2001). “Discontinuous-grid finite-difference seismic modeling including surface topography.” Bull. Seismol. Soc. Am., 91, 1750–1764.
Iwan, W. D. (1967). “On a class of models for the yielding behavior of continuous and composite systems.” ASME J. Appl. Mech., 34, 612–617.
Kausel, E., and Roesset, J. M. (1975). “Dynamic stiffness of circular foundations.” J. Engrg. Mech. Div., 101(6), 771–785.
Kim, S., and Stewart, J. P. (2003). “Kinematic soil-structure interaction from strong motion recordings.” J. Geotech. Geoenviron. Eng., 129(4), 323–335.
Mroz, Z. (1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15, 163–175.
Ortiz-Alemán, C., Sánchez-Sesma, F. J., Rodríguez-Zúñiga, J. L., and Luzón, F. (1998). “Computing topographical 3D site effects using a fast IBEM/conjugate gradient approach.” Bull. Seismol. Soc. Am., 88, 393–399.
Paolucci, R. (1999). “Numerical evaluation of the effect of cross-coupling of different components of ground motion in site response analyses.” Bull. Seismol. Soc. Am., 89, 877–887.
Pedersen, H., LeBrun, B., Hatzfeld, D., Campillo, M., and Bard, P.-Y. (1994). “Ground motion amplitude across ridges.” Bull. Seismol. Soc. Am., 85, 1786–1800.
Popescu, R. (1995). “Stochastic variability of soil properties: Data analysis, digital simulation, effects on system behavior.” Ph.D. thesis, Princeton Univ., Princeton, N.J.
Prévost, J. H. (1980). “Mechanics of continuous porous media.” Int. J. Eng. Sci., 18(5), 787–800.
Prévost, J. H. (1982). “Two-surface vs. multi-surface plasticity theories.” Int. J. Num. Anal. Meth. Geomech., (6):323–338.
Prévost, J. H. (1985). “A simple plasticity theory for frictional cohesionless soils.” Soil Dynamics and Earthquake Eng., 4:9–17.
Prévost, J. H. (1995). “DYNAFLOW: A nonlinear transient finite-element analysis program.” Technical Rep., Dept. of Civil Eng., and Op. Research, Princeton Univ. Princeton, N.J.
Ricker, N. (1960). “The form and laws of propagation of seismic wavelets.” Geophysics, 18, 40.
Sanchez-Sésma, F. J. (1983). “Diffraction of elastic waves by three-dimensional surface irregularities.” Bull. Seismol. Soc. Am., 73, 1621–1636.
Sanchez-Sésma, F. J., and Campillo, M. (1991). “Diffraction of P, SV, and Rayleigh waves by topographic features. A boundary integral formulation.” Bull. Seismol. Soc. Am., 81(6), 2234–2253.
Savage, W. Z. (2004). “An exact solution for effects of topography on free Rayleigh waves.” Bull. Seismol. Soc. Am., 94, 1706–1727.
Smith, W. D. (1975). “The application of finite element analysis to body wave propagation problems.” Geophys. J., 42, 747–768.
Stewart, J. P., and Sholtis, S. E. (2005). “Kinematic soil-structure interaction from strong motion recordings.” J. Geotech. Geoenviron. Eng., 129(4), 323–335.
Vucetic, M., and Dobry, R. (1991). “Kinematic soil-structure interaction from strong motion recordings.” J. Geotech. Engrg., 117(1), 89–107.
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Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 133 • Issue 11 • November 2007
Pages: 1414 - 1431
Copyright
© 2007 ASCE.
History
Received: Oct 7, 2005
Accepted: Jan 18, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007
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