Hybrid MS-BIEM for Seismic Site-Response Phenomena: A Case Study of Sofia

  • P. Dineva
  • I. Paskaleva
  • C. La Mura
  • G. Panza
Conference paper
Part of the NATO Science for Peace and Security Series C: Environmental Security book series (NAPSC)

The study presents and solves the 2-D elastodynamic model for seismic in-plane wave propagation in laterally inhomogeneous geological profiles imbedded in a vertically inhomogeneous half-space in which an earthquake source is buried. To this end, an efficient hybrid modal summation-boundary integral equation method (MSM-BIEM) is developed and applied. The MSM is used as a tool for simulating wave propagation from the source position to the multilayered laterally inhomogeneous geological profile where the BIEM is applied. The proposed model and the hybrid tool are used to investigate the phenomena of site effects. In fact, such a methodology has the potential to investigate the combined effects of different physical phenomena like surface topography, lateral inhomogeneity and the existence of water saturation in soils on the estimation of site effects. The model and hybrid computational tool developed are applied to contribute to the seismic risk analysis of the Bulgarian capital Sofia.


Lateral inhomogeneity saturated soils viscoelastic isomorphism hybrid technique site effects 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aznarez J.J., Maeso O., Dominguez J. (2006) BE analysis of bottom sediments in dynamic fluid-structure interaction problems, Eng. Anal. Bound. Elem., 30, 205–223CrossRefGoogle Scholar
  2. Bardet J.P. (1992) A viscoelastic model for the dynamic behaviour of saturated poroelastic soils, Trans. ASME, 59, 128–135Google Scholar
  3. Biot M.A. (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low frequency range, J. Acoust. Soc. Am., 28, 168–178CrossRefGoogle Scholar
  4. Degrande G., De Roeck G., Den Broeck V.P. (1998) Wave propagation in layered dry, saturated and unsaturated poroelastic media, Int. J. Solids Struct., 35(N34–35), 4753–4778CrossRefGoogle Scholar
  5. Dineva P., Vaccari F., Panza G.F. (2003) Hybrid modal summation — BIE method for site effect estimation of a seismic region in a laterally varying media, J. Theor. Appl. Mech. Bulg. Acad. Sci., 33(4), 55–88Google Scholar
  6. Dineva P., Datcheva M., Schanz T. (2006) BIEM for seismic wave propagation in fluid saturated multilayered media. In: Numerical Methods in Geotechnical Engineering (H.F. Schweiger, Ed.), Proc. 6th European Conference on Numerical Methods in Geotechnical Engineering, 6–8 September 2006-Graz, Austria, published by Taylor & Francis/Balkema, pp. 257–265Google Scholar
  7. Dominguez J. (1993) Boundary Elements in Dynamics, Computational Mechanics/ Elsevier, Southampton/AmsterdamGoogle Scholar
  8. Fah D., Suhadolc P., Panza G.F. (1993a) Variability of seismic ground motion in complex media: The Fruili area (Italy). In: Geophysical Exploration in Areas of Complex Geology, II (R. Cassinis, K. Helbig, G.F. Panza, Eds.), Journal of Applied Geophysics, 30, 131–148CrossRefGoogle Scholar
  9. Fah D., Iodice C., Suhadolc P., Panza G.F. (1993b) A new method for realistic estimation of seismic ground motion in mega cities: The case of Roma, Earthq. Spectra, 9, 643–668CrossRefGoogle Scholar
  10. Lin C.H., Lee V.W., Trifunac M.D. (2005) The reflection of plane waves in a poroelastic half-space saturated with inviscid fluid. Soil Dyn. Earthq. Eng., 25, 205–223CrossRefGoogle Scholar
  11. Morochnik V., Bardet J.P. (1996) Viscoelastic approximation of poroelastic media for wave scattering problems, Soil Dyn. Earthq. Eng., 15, 337–346CrossRefGoogle Scholar
  12. Panza G.F., Romanelli F., Vaccari F. (2001) Seismic wave propagation in laterally heterogeneous anelastic media: theory and application to seismic zonation. In: Advances in Geophysics (R. Dmowska, B. Saltzman, Eds.), Academic Press, San Diego, CA, Vol. 43, pp. 1–95Google Scholar
  13. Paskaleva I. (2002) A contribution to the seismic risk assessment of the Sofia City. Report on CNR-NATO program, 65, Annocement, 219.33, May–October 2002, 100pGoogle Scholar
  14. Paskaleva I., Panza G.F., Vaccari F., Rajgelj S., Ivanov P. (2003) Deterministic modelling for microzonation of Sofia: An expected earthquake scenario, Proceedings of the International Conference in Earthquake Engineering, SE 40EEE, 26–29 August, 2003, SkopjeGoogle Scholar
  15. Simon B.R., Zienkiewicz O.C., Paul D.K. (1984) An analytical solution for the transient response of saturated porous elastic solids, Int. J. Numer. Anal. Methods Geomech., 8, 381–398CrossRefGoogle Scholar
  16. Slavov S., Paskaleva I., Kouteva M., Vaccari F., Panza G.F. (2004) Deterministic earthquake scenarios for the City of Sofia, Pure Appl. Geophys. (PAGEOPH), Birkhauser Verlag, Basel, 161, 1221–1237CrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media B.V. 2008

Authors and Affiliations

  • P. Dineva
    • 1
  • I. Paskaleva
    • 2
  • C. La Mura
    • 3
  • G. Panza
    • 4
  1. 1.Institute of MechanicsBulgarian Academy of Sciences (BAS)SofiaBulgaria
  2. 2.Central Laboratory Seismic Mechanics and Earthquake Engineering (CLSMEE)Bulgarian Academy of Sciences (BAS)SofiaBulgaria
  3. 3.DST-University of TriesteTriesteItaly
  4. 4.The Abdus Salam ICTPTriesteItaly

Personalised recommendations