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Assessment of Foundation Mass and Earthquake Input Mechanism Effect on Dam–Reservoir–Foundation System Response


Concrete dams are one of the most important infrastructures in every country and the seismic safety assessment of them is a major task in dam engineering field. Dam–foundation–reservoir system analysis is a complex interaction problem because this system consists of three domains with different behaviors. For accurate analysis of this system, some important factors should be considered such as foundation mass and earthquake input mechanism. In this paper, the effect of foundation mass and earthquake input mechanism on seismic response of concrete gravity dam is investigated. For this purpose, two different methods are introduced for modeling of massed semi-infinite foundation in finite element method, namely free-field boundary condition and domain reduction method (DRM). To verify the feasibility of proposed methods for seismic analysis of dam–foundation–reservoir system, the displacement and stress outputs using proposed methods are compared with EAGD-84 results. The obtained results indicate that both methods are accurate enough for finite element modeling of massed foundation. Finally, Koyna concrete gravity dam is analyzed for rigid, massless and massed foundation cases using DRM and it is concluded that the foundation has significant effect on dam response and the common massless foundation approach overestimates the dam response.

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  1. 1.

    Ghaemian M, Ghobarah A (1998) Staggered solution schemes for dam-reservoir interaction. J Fluids Struct 12:933–948

    Article  Google Scholar 

  2. 2.

    Ghaemian M, Ghobarah A (1999) Nonlinear seismic response of concrete gravity dams with dam-reservoir interaction. Eng Struct 21:306–315

    Article  Google Scholar 

  3. 3.

    Chopra AK, Chakrabarti P (1981) Earthquake analysis of concrete gravity dams including dam-water-foundation rock interaction. Earthq Eng Struct Dyn 9:363–383

    Article  Google Scholar 

  4. 4.

    Fenves G, Chopra AK (1984) Earthquake analysis of concrete gravity dams including reservoir bottom absorption and dam-water-foundation rock interaction. Earthq Eng Struct Dyn 12:663–680

    Article  Google Scholar 

  5. 5.

    Bayraktar A, Hancer E, Akköse M (2005) Influence of base-rock characteristics on the stochastic dynamic response of dam–reservoir–foundation systems. Eng Struct 27:1498–1508

    Article  Google Scholar 

  6. 6.

    Léger P, Boughoufalah M (1989) Earthquake input mechanisms for time-domain analysis of dam-foundation systems. Eng Struct 11:37–46

    Article  Google Scholar 

  7. 7.

    Tan H, Chopra AK (1995) Earthquake analysis of arch dams including dam-water foundation rock interaction. Earthq Eng Struct Dyn 24:1453–1474

    Article  Google Scholar 

  8. 8.

    Tan H, Chopra AK (1995) Dam-foundation rock interaction effects in frequency-response functions of arch dams. Earthq Eng Struct Dyn 24:1475–1489

    Article  Google Scholar 

  9. 9.

    Chopra AK (2008) Earthquake analysis of arch dams: factors to be considered. In: Proceedings of the 14th World Conference on Earthquake Engineering. Beijing

  10. 10.

    Fenves G, Chopra AK (1984) EAGD-84: A computer program for earthquake response analysis of concrete gravity dams. Report No. UCB/EERC-84/11. Earthquake Engineering Research Center, University of California, Berkeley

    Google Scholar 

  11. 11.

    Zienkiewicz OC, Bicanic N, Shen FQ (1989) Earthquake input definition and the transmitting boundary conditions. Adv Comput Nonlinear Mech 300:109–138

    MathSciNet  Article  MATH  Google Scholar 

  12. 12.

    Wolf JP (1988), Soil-structure interaction analysis in time domain. Prentice Hall, Upper Saddle River

    Google Scholar 

  13. 13.

    Galavi V, Petalas A, Brinkgreve RBJ (2013) Finite element modelling of seismic liquefaction in soils. Geotech Eng J SEAGS GSSEA 44:55–64

    Google Scholar 

  14. 14.

    Itasca Consulting Group, Inc (2004) FLAC (Fast Lagrangian Analysis of Continua). Version 4. Minneapolis

  15. 15.

    Bielak J, Loukakis K, Hisada Y, Yoshimura C (2003) Domain reduction method for three-dimensional earthquake modeling in localized regions. Part I: theory. Bull Seismol Soc Am 93(2):817–824

    Article  Google Scholar 

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Correspondence to Mohsen Ghaemian.

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Ghaemian, M., Noorzad, A. & Mohammadnezhad, H. Assessment of Foundation Mass and Earthquake Input Mechanism Effect on Dam–Reservoir–Foundation System Response. Int J Civ Eng 17, 473–480 (2019).

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  • Soil–structure interaction
  • Free-field boundary condition
  • Domain reduction method
  • Massed foundation
  • Boundary condition
  • Seismic wave propagation
  • Radiation damping