The use of direct boundary element method for gaining insight into complex seismic site response

The boundary element method is specially well suited for the analysis of the seismic response of valleys of complicated topography and stratigraphy. In this paper the method's capabilities are illustrated using as an example an irregularity stratified (test site) sedimentary basin that has been modelled using 2D discretization and the Direct Boundary Element Method (DBEM). Site models displaying different levels of complexity are used in practice. The multi-layered model's seismic response shows generally good agreement with observed data amplification levels, fundamental frequencies and the high spatial variability. Still important features such as the location of high frequencies peaks are missing. Even 2D simplified models reveal important characteristics of the wave field that 1D modelling does not show up.

[1]  Kyriazis Pitilakis,et al.  Site effects at Euroseistest—I. Determination of the valley structure and confrontation of observations with 1D analysis , 2000 .

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

[3]  F. Chávez-García,et al.  Topographic site effects and HVSR. A comparison between observations and theory , 1996, Bulletin of the Seismological Society of America.

[4]  F. Chávez-García,et al.  Site Effects and Design Provisions: The Case of Euroseistest , 2001 .

[5]  E. Faccioli,et al.  Complex site effects in earthquake ground motion, including topography , 2003 .

[6]  J. Domínguez,et al.  Effects of Space Distribution of Excitation on Seismic Response of Arch Dams , 2002 .

[7]  Lothar Gaul,et al.  Boundary element methods for engineers and scientists , 2003 .

[8]  R. Madariaga,et al.  An approximate elastic two-dimensional Green's function for a constant-gradient medium , 2001 .

[9]  Carlos Alberto Brebbia,et al.  Progress in Boundary Element Methods , 1981 .

[10]  Michel Bouchon,et al.  Seismic response of a hill: The example of Tarzana, California , 1996 .

[11]  Roberto Paolucci,et al.  Amplification of earthquake ground motion by steep topographic irregularities , 2002 .

[12]  Martin Kögl,et al.  Boundary Element Methods for Engineers and Scientists: An Introductory Course With Advanced Topics , 2004 .

[13]  M. Campillo,et al.  Ground-motion amplitude across ridges , 1994, Bulletin of the Seismological Society of America.

[14]  Carlos Alberto Brebbia,et al.  Advances in boundary elements , 1989 .

[15]  Enrique Alarcón,et al.  The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology) , 2004 .

[16]  Margaret Hellweg,et al.  Directional topographic site response at Tarzana observed in aftershocks of the 1994 Northridge, California, earthquake: Implications for mainshock motions , 1996, Bulletin of the Seismological Society of America.

[17]  Ezio Faccioli,et al.  3D Response analysis of an instrumented hill at Matsuzaki, Japan, by a spectral method , 1999 .

[18]  J. Zahradník,et al.  About the Efficiency of Numerical 1-D and 2-D Modelling of Site Effects in Basin Structures , 2000 .

[19]  Edward H. Field,et al.  Topographic site effects. A comparison of two nonreference methods , 1997, Bulletin of the Seismological Society of America.

[20]  Kyriazis Pitilakis,et al.  EURO-SEISTEST: Determination of the geological structure of the Volvi basin and validation of the basin response , 1998, Bulletin of the Seismological Society of America.

[21]  Jim Mori,et al.  Evaluation of Methods for Estimating Linear Site-Response Amplifications in the Los Angeles Region , 2000 .

[22]  J. Martinod,et al.  Rapid N‐S extension in the Mygdonian Graben (northern Greece) deduced from repeated geodetic surveys , 1997 .

[23]  Pierre-Yves Bard,et al.  THE EFFECT OF TOPOGRAPHY ON EARTHQUAKE GROUND MOTION: A REVIEW AND NEW RESULTS , 1988 .

[24]  Ramón Abascal,et al.  SEISMIC RESPONSE OF STRIP FOOTINGS ON ZONED VISCOELASTIC SOILS , 1989 .

[25]  Gernot Beer,et al.  Programming the Boundary Element Method , 2001 .

[26]  P. Bard,et al.  Detailed evaluation of site-response estimation methods across and along the sedimentary valley of volvi (EURO-SEISTEST) , 1998, Bulletin of the Seismological Society of America.

[27]  Experimental study of the ground motion on a large scale topographic hill at Kitherion (Greece) , 1999 .