TECHNICAL NOTES
Mar 23, 2011

Finite-Element Modeling of Continuous Surface Waves Tests: Numerical Accuracy with respect to Domain Size

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 12

Abstract

Near-field effects are inherent in continuous surface wave (CSW) tests. Such effects on the dispersion curves can be studied using the finite-element (FE) method. However, near-field effects may be obscured by boundary effects in a FE model. Although the use of local nonreflecting boundary conditions (NRBCs) may alleviate the problem, these need to be placed sufficiently far away to be effective. Quantitative guidelines on domain size with NRBCs are still lacking. This paper provides specific guidelines to determine the domain size in terms of the wavelength-to-domain size ratio, λ*/l*. With local NRBCs, numerical errors were found to be negligible when the domain size (l*) was extended to twice the longest wavelength (λ*). However, in modeling soft soil deposits in which shear-wave velocity (Vs) is less than 100m/s, a smaller domain size (e.g., λ*/l*=2) is sufficient.

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Acknowledgments

The work described in this paper is supported by DSTA research project fund UNSPECIFIEDPTRC-CEE/DSTA/2010.01.

References

Aung, A. M. W., and Leong, E. C. (2010). “Discussion of ‘Near-field effects on array-based surface wave methods with active sources’ by S. Yoon and G. J. Rix.” J. Geotech. Geoenviron. Eng., 136(5), 773–775.
Chow, Y. K., and Smith, I. M. (1981). “Static and periodic infinite solid elements.” Int. J. Numer. Methods Eng., 17(4), 503–526.
Cohen, M., and Jennings, P. C. (1983). “Silent boundary methods for transient analysis.” Computational methods for transient analysis, T. Belytschko and T. J. R. Hughes, eds., Elsevier, Amsterdam, Netherlands.
Estorff, O. V. (1991). “Dynamic response of elastic blocks by time domain BEM and FEM.” Comput. Struct., 38(3), 289–300.
Estorff, O. V., Pais, A. L., and Kausel, E. (1990). “Some observations on time domain and frequency domain boundary elements.” Int. J. Numer. Methods Eng., 29(4), 785–800.
Ganji, V., Gucunski, N., and Nazarian, S. (1998). “Automated inversion procedure for spectral analysis of surface waves.” J. Geotech. Geoenviron. Eng., 124(8), 757–770.
Givoli, D. (1992). Numerical methods for problems in infinite domains, Elsevier, Amsterdam, Netherlands.
Gucunski, N., Ganji, V., and Maher, M. H. (1996). “Effects of obstacles on Rayleigh wave dispersion obtained from the SASW test.” Soil Dyn. Earthquake Eng., 15(4), 223–231.
Gucunski, N., and Woods, R. D. (1992). “Numerical simulation of the SASW test.” Soil Dyn. Earthquake Eng., 11(4), 213–227.
Kausel, E. (1981). “An explicit solution for the Green’s functions for dynamic loads in layered media.” Research Rep. No. R81-13, MA Institute of Technology, Cambridge, MA.
Kausel, E., and Peek, R. (1982). “Dynamic loads in the interior of a layered stratum: An explicit solution.” Bull. Seismol. Soc. Am., 72(5), 1459–1481.
LS-DYNA [Computer software]. Livermore Software Technology Corporation (LSTC), Livermore, CA.
Lysmer, J., and Kuhlemeyer, R. L. (1969). “Finite dynamic model for infinite media.” J. Eng. Mech. Div., 95(4), 859–877.
Lytton, R. L. (1989). “Backcalculation of pavement layer properties.” ASTM STP 1026: Nondestructive Testing of Pavements and Backcalculation of Moduli, A. J. Bush III, and G. Y. Baladi, eds., ASTM, Philadelphia, 7–38.
Matthews, M. C., Hope, V. S., and Clayton, C. R. I. (1996). “The use of surface waves in the determination of ground stiffness profiles.” Proc. ICE Geotech. Eng., 119(2), 84–95.
Medina, F., and Taylor, R. L. (1983). “Finite element techniques for problems of unbounded domains.” Int. J. Numer. Methods Eng., 19(8), 1209–1226.
Pais, A. L. (1985). “Dynamic coupling of multiple structures through soil.” Ph.D. thesis, MA Institute of Technology, Cambridge, MA.
Roberts, J., and Asten, M. (2008). “A study of near source effects in array-based (SPAC) microtremor surveys.” Geophys. J. Int., 174(1), 159–177.
Seale, S. H. (1985). “Dynamic loads in layered half-space.” Ph.D. thesis, MA Institute of Technology, Cambridge, MA.
Shridhar, D. S., and Chandrasekaran, V. S. (1995). “Use of transmitting boundary for loads having non-vanishing time average.” Comput. Struct., 54(3), 547–550.
Tallavo, F., Cascante, G., and Pandey, M. (2009). “Experimental and numerical analysis of MASW tests for detection of buried timber trestles.” Soil Dyn. Earthquake Eng., 29(1), 91–102.
Wolf, J. P. (1988). Soil-structure-interaction analysis in time domain, Prentice-Hall, Englewood Cliffs, NJ.
Wolf, J. P., and Song, C. (1996). Finite-element modelling of unbounded media, Wiley, Chichester, England.
Yazdchi, M., Khalili, N., and Valliappan, S. (1999). “Dynamic soil-structure interaction analysis via coupled finite-element-boundary-element method.” Soil Dyn. Earthquake Eng., 18(7), 499–517.
Yoon, S., and Rix, G. J. (2009). “Near-field effects on array-based surface wave methods with active sources.” J. Geotech. Geoenviron. Eng., 135(3), 399–406.
Zhao, C., and Valliappan, C. (1993). “A dynamic infinite element for three-dimensional infinite-domain wave problems.” Int. J. Numer. Methods Eng., 36(15), 2567–2580.
Zywicki, D. J., and Rix, G. J. (2005). “Mitigation of near-field effects for seismic surface wave velocity estimation with cylindrical beamformers.” J. Geotech. Geoenviron. Eng., 131(8), 970–977.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 137Issue 12December 2011
Pages: 1294 - 1298

History

Received: Oct 7, 2009
Accepted: Mar 21, 2011
Published online: Mar 23, 2011
Published in print: Dec 1, 2011

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A. M. W. Aung
Project Officer, School of Civil and Environmental Engineering, Nanyang Technological Univ., Blk N1, 50 Nanyang Ave., Singapore 639798.
E. C. Leong, M.ASCE [email protected]
Associate Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., Blk N1, 50 Nanyang Ave., Singapore 639798 (corresponding author). E-mail: [email protected]

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