Skip to main content
SpringerLink
Log in

Dynamic Interaction of Concrete Dam-Reservoir-Foundation: Analytical and Numerical Solutions

  • Chapter
  • First Online:
Computational Methods in Earthquake Engineering

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 21))

Abstract

The majority of concrete dams worldwide have behaved relatively well during seismic events. However, there are several cases where global failure or substantial damages have occurred. The need for new dam construction and retrofitting of existing dams necessitates the use of advanced design approaches that can take realistically into account the potential dam-reservoir-foundation interaction. Seismic design of concrete dams is associated with difficulties to estimate the dynamic distress of the dam as well as the response of the dam-reservoir-foundation system and to assess the impact of the various parameters involved. In this chapter, after an extensive literature review on the dynamic interaction of concrete dams with retained water and underlying soil, results from numerical simulations are presented. Initially, analytical closed-form solutions that have been widely used for the calculation of dam distress are outlined. Subsequently, the numerical methods based on the finite element method (FEM) which is unavoidably used for complicated geometries of the reservoir and/or the dam, are reviewed. Emphasis is given on FEM-based procedures and the boundary conditions and interactions involved. Numerical results are presented to illustrate the impact of various key parameters on the distress and response of concrete dams considering dam-foundation interaction phenomena. It is shown that in general the water level and the thickness of the soil layer have a substantial impact on the dynamic characteristics of the dam-reservoir-foundation system in terms of its eigenfrequencies and damping. Moreover, simplified equivalent soil springs are calculated for the assessment of the additional dam dynamic distress due to the presence of the reservoir.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. ABAQUS (2008) User’s manual, Version 6.8. Dassault Systèmes Simulia Corporation, Providence RI, USA

    Google Scholar 

  2. Akköse M, Adanur S, Bayraktar A, Dumano\(\breve{\mathrm{g}}\)lu AA (2008) Elasto-plastic earthquake response of arch dams including fluid–structure interaction by the Lagrangian approach. Appl Math Model 32:2396–2412

    Google Scholar 

  3. Akköse M, Bayraktar A, Dumanoğlu AA (2008) Reservoir water level effects on nonlinear dynamic response of arch dams. J Fluids Struct 24:418–435

    Article  Google Scholar 

  4. Arabshahi H, Lotfi V (2008) Earthquake response of concrete gravity dams including dam–foundation interface nonlinearities. Eng Struct 30:3065–3073

    Article  Google Scholar 

  5. Aznárez JJ, Maeso O, Domínguez J (2006) BE analysis of bottom sediments in dynamic fluid-structure interaction problems. Eng Anal Boundary Elem 30:124–136

    Article  MATH  Google Scholar 

  6. Bayraktar A, Hançer 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 

  7. Bayraktar A, Hançer E, Dumanoğlu AA (2005) Comparison of stochastic and deterministic dynamic responses of gravity dam–reservoir systems using fluid finite elements. Finite Elem Anal Des 41:1365–1376

    Article  Google Scholar 

  8. Bilici Y, Bayraktar A, Soyluk K, Haciefendioğlu K, Ateş Ş, Adanur S (2009) Stochastic dynamic response of dam–reservoir–foundation systems to spatially varying earthquake ground motions. Soil Dyn Earthquake Eng 29:444–458

    Article  Google Scholar 

  9. Câmara RJ (2000) A method for coupled arch dam-foundation-reservoir seismic behaviour analysis. Earthquake Eng Struct Dyn 29:441–460

    Article  Google Scholar 

  10. Chavez JW, Fenves GL (1995) Earthquake response of concrete gravity dams including base sliding. ASCE J Struct Eng 121(5):865–875

    Article  Google Scholar 

  11. Cheng A (1986) Effect of sediment on earthquake induced reservoir hydrodynamic response. J Eng Mech 112:654–664

    Article  Google Scholar 

  12. Chopra AK (1967) Hydrodynamic pressures on dams during earthquakes. ASCE J Eng Mech 93:205–223

    Google Scholar 

  13. Chopra AK, Zhang L (1991) Earthquake-induced base sliding of concrete gravity dams. ASCE J Struct Eng 117(12):3698–3719

    Article  Google Scholar 

  14. Chopra AK (1968) Earthquake behavior of dam–reservoir systems ASCE J Eng Mech 94:1475–1499

    Google Scholar 

  15. Chwang AT (1978) Hydrodynamic pressures on sloping dams during earthquakes. Part 2. Exact theory. J Fluid Mech 87(2):343–348

    Google Scholar 

  16. Chwang AT, Housner GW (1978) Hydrodynamic pressures on sloping dams during earthquakes. Part 1. Momentum method. J Fluid Mech 87(2):335–341

    Google Scholar 

  17. Clough RW, Penzien J (1993) Dynamics of structures, 2nd edn. McGraw-Hill, Singapore

    Google Scholar 

  18. Danay A, Adeghe LN (1993) Seismic-induced slip of concrete gravity dams. ASCE J Struct Eng 119(1):108–129

    Article  Google Scholar 

  19. Donlon WP, Hall JF (1991) Shaking table study of concrete gravity dam monoliths. Earthquake Eng Struct Dyn 20:769–786

    Article  Google Scholar 

  20. Du X, Zhang Y, Zhang B (2007) Nonlinear seismic response analysis of arch dam-foundation systems- part I dam-foundation rock interaction. Bull Earthquake Eng 5:105–119

    Article  Google Scholar 

  21. EM-1110-2-6053 (2007) Earthquake design and evaluation of concrete hydraulic structures. US Army Corps of Engineers, Washington, DC

    Google Scholar 

  22. Fahjan YM, Börekçi OS, Erdik M (2003) Earthquake-induced hydrodynamic pressures on a 3D rigid dam–reservoir system using DRBEM and a radiation matrix. Int J Numerical Methods Eng 56:1511–1532

    Article  MATH  Google Scholar 

  23. Fan SC, Li SM (2008) Boundary finite-element method coupling finite-element method for steady-state analyses of dam-reservoir systems. ASCE J Eng Mech 134(2):133–142

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  27. Ghobarah A, El-Nady A, Aziz T (Sept 1994) Simplified dynamic analysis for gravity dams. ASCE J Struct Eng 120(9):2697–2716

    Google Scholar 

  28. Gogoi I, Maity D (2007) Influence of sediment layers on dynamic behavior of aged concrete dams. ASCE J Eng Mech 133(4):400–413

    Article  Google Scholar 

  29. Higdon RL (1994) Radiation boundary condition for dispersive waves. SIAM J Numerical Anal 31:64–100

    Article  MATH  MathSciNet  Google Scholar 

  30. Javanmardi F, Léger P, Tinawi R (2005) Seismic water pressure in cracked concrete gravity dams: experimental study and theoretical modeling. ASCE J Struct Eng 131(1):139–150

    Article  Google Scholar 

  31. Koh HM, Kim JK, Park JH (1998) Fluid-structure interaction analysis of 3-D rectangular tanks by a variationally coupled BEM-FEM and comparison with test results. Earthquake Eng Struct Dyn 27:109–124

    Article  Google Scholar 

  32. Küçükarslan S (2003) Dam-reservoir interaction for incompressible-unbounded fluid domains using an exact truncation boundary condition. In: Proceedings of 16th ASCE engineering mechanics conference, University of Washington, Seattle, 16–18 July 2003

    Google Scholar 

  33. Küçükarslan S (2005) An exact truncation boundary condition for incompressible–unbounded infinite fluid domains. Appl Math Comput 163:61–69

    Article  MATH  MathSciNet  Google Scholar 

  34. Küçükarslan S, Coşkun SB, Taşkın B (2005) Transient analysis of dam–reservoir interaction including the reservoir bottom effects. J Fluids Struct 20:1073–1084

    Google Scholar 

  35. Lee GC, Tsai CS (1991) Time-domain analyses of dam-reservoir system. I: exact solution. ASCE J Eng Mech 117(9):1990–2006

    Google Scholar 

  36. Lee J, Fenves GL (1998) A plastic-damage concrete model for earthquake analysis of dams. Earthquake Eng Struct Dyn 27:937–956

    Article  Google Scholar 

  37. Li X, Romo MPO, Aviles JL (1996) Finite element analysis of dam-reservoir systems using an exact far-boundary condition. Comput Struct 60(5):751–762

    Article  MATH  Google Scholar 

  38. Lin G, Du J-G, Hu Z-Q (2007) Dynamic dam-reservoir interaction analysis including effect of reservoir boundary absorption. Sci China Ser E Technol Sci 50(I):1–10

    Google Scholar 

  39. Liu PLF (1986) Hydrodynamic pressures on rigid dams during earthquakes. J Fluid Mech 165:131–145

    Article  MATH  MathSciNet  Google Scholar 

  40. Maity D (2005) A novel far-boundary condition for the finite element analysis of infinite reservoir. Appl Math Comput 170:1314–1328

    Article  MATH  MathSciNet  Google Scholar 

  41. Maity D, Bhattacharyya SK (1999) Time-domain analysis of infinite reservoir by finite element method using a novel far-boundary condition. Finite Elem Anal Des 32:85–96

    Article  MATH  Google Scholar 

  42. Maity D, Bhattacharyya SK (2003) A parametric study on fluid–structure interaction problems. J Sound Vib 263:917–935

    Article  Google Scholar 

  43. Mir RA, Taylor CA (1995) An experimental investigation into earthquake induced failure of medium to low height concrete gravity dams. Earthquake Eng Struct Dyn 24:373–393

    Article  Google Scholar 

  44. Mir RA, Taylor CA (1996) An investigation into the base sliding response of rigid concrete gravity dams to dynamic loading. Earthquake Eng Struct Dyn 25:79–98

    Article  Google Scholar 

  45. Papazafeiropoulos G, Tsompanakis Y, Psarropoulos PN (2009) Analytical and numerical modeling of hydrodynamic distress of rigid and flexible concrete dams. In: Papadrakakis M, Lagaros ND, Fragiadakis M (eds) Proceedings of COMPDYN-2009: 2nd international conference on computational methods in structural dynamics and earthquake engineering, Rhodes, Greece, 22–24 June 2009

    Google Scholar 

  46. Parrinello F, Borino G (2007) Lagrangian finite element modelling of dam–fluid interaction: accurate absorbing boundary conditions. Comput Struct 85:932–943

    Article  Google Scholar 

  47. Plizzari G, Waggoner F, Saouma VE (1991) Centrifuge modeling and analysis of concrete gravity dams. J Struct Eng 121(10):1471–1479

    Article  Google Scholar 

  48. Saini SS, Bettess P, Zienkiewicz OC (1978) Coupled hydrodynamic response of concrete gravity dams using finite and infinite elements. Earthquake Eng Struct Dyn 6:363–374

    Article  Google Scholar 

  49. Sharan SK (1985) Finite element analysis of unbounded and incompressible fluid domains. Int J Numerical Methods Eng 21:1659–1669

    Article  MATH  MathSciNet  Google Scholar 

  50. Taylor RE (1981) A review of hydrodynamic load analysis for submerged structures excited by earthquakes. Eng Struct 3:131–139

    Article  Google Scholar 

  51. Tinawi R, Guizani L (1994) Formulation of hydrodynamic pressures in cracks due to earthquakes in concrete dams. Earthquake Eng Struct Dyn 23:699–715

    Article  Google Scholar 

  52. Tsai CS, Lee GC (1991) Time-domain analyses of dam-reservoir system. II: substructure method. J Eng Mech 117(9):2007–2026

    Google Scholar 

  53. Usuki S (1977) The application of a variational finite element method to problems in fluid dynamics. Int J Numerical Methods Eng 11:563–577

    Article  MATH  MathSciNet  Google Scholar 

  54. Westergaard HM (1931) Water pressure on dams during earthquakes. ASCE Trans 98:418–433

    Google Scholar 

  55. Wilson EL, Khalvati M (1983) Finite elements for the dynamic analysis of fluid-solid systems. Int J Numerical Methods Eng 19:1657–1668

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mechanics, Technical University of Crete, Chania, Greece

    George Papazafeiropoulos & Yiannis Tsompanakis

  2. Department of Infrastructure Engineering, Hellenic Air-Force Academy, Cholargos, Greece

    Prodromos N. Psarropoulos

Authors
  1. George Papazafeiropoulos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yiannis Tsompanakis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Prodromos N. Psarropoulos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yiannis Tsompanakis .

Editor information

Editors and Affiliations

  1. Inst. Structural Analysis &, Seismic Research, National Technical Univ. Athen, Iroon Polytechniou Str. 9, Athens, 157 80, Greece

    Manolis Papadrakakis

  2. , Institute of Structural Analysis and Sei, National Technical University of Athens,, Iroon Polytechniou, Zagrafou Campus 9, Athens, 15780, Greece

    Michalis Fragiadakis

  3. National Technical University of Athens,, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Nikos D. Lagaros

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Papazafeiropoulos, G., Tsompanakis, Y., Psarropoulos, P.N. (2011). Dynamic Interaction of Concrete Dam-Reservoir-Foundation: Analytical and Numerical Solutions. In: Papadrakakis, M., Fragiadakis, M., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0053-6_20

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0053-6_20

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0052-9

  • Online ISBN: 978-94-007-0053-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation