Acta Geotechnica

, Volume 14, Issue 1, pp 83–100 | Cite as

Seismic response of high concrete face rockfill dams subjected to non-uniform input motion

  • Yu Yao
  • Rui WangEmail author
  • Tianyun Liu
  • Jian-Min Zhang
Research Paper


Analysis of the seismic response of high CFRDs under non-uniform ground motion input is conducted using a novel non-uniform input motion calculation method combined with nonlinear FEM. The non-uniform input motion calculation method and its basic assumption are validated. The response of CFRDs under uniform and non-uniform input is compared to discuss the necessity of conducting seismic analysis of high CFRDs under realistic non-uniform ground motion input. When the acceleration at the surface of the free field for dynamic simulations with uniform and non-uniform input is kept consistent, the seismic response of CFRDs under non-uniform input is in general significantly smaller, while the dynamic tensile stress around the edges of the concrete face slab is greater. The simulation results suggest that non-uniformity of the ground motion input has important effects on the seismic response of high CFRDs and should be considered in the seismic design of CFRDs. The influence of the incident angle of seismic waves is also investigated, with results indicating that the influence is waveform dependent, while being frequency independent.


Angle of incidence High CFRD Non-uniform input Seismic response Wave theory 



The authors gratefully acknowledge the financial support by the National Key Research Program of China (Grant No. 2016YFC1402800), and the National Natural Science Foundation of China (Nos. 51708332 and No. 51678346).


  1. 1.
    Banerjee P, Mamoon S (1990) A fundamental solution due to a periodic point force in the interior of an elastic half-space. Earthq Eng Struct Dyn 19(1):91–105Google Scholar
  2. 2.
    Beck JL (1979) Determining models of structures from earthquake records. California Institute of Technology, CaliforniaGoogle Scholar
  3. 3.
    Chen H, Du X, Hou S (1998) Application of transmitting boundaries to non-linear dynamic analysis of an arch dam-foundation-reservoir system. Dynamic soil-structure interaction: current research in China and Switzerland, pp 115–124Google Scholar
  4. 4.
    Chen S, Li G, Fu Z (2013) Safety criteria and limit resistance capacity of high earth-rock dams subjected to earthquakes. Chin J Geotech Eng 35(1):59–65 (in Chinese) Google Scholar
  5. 5.
    Chen S, Wang T, Fu Z, Wei K (2015) Seismic damage mechanism of high concrete face rockfill dams. Chin J Geotech Eng 37(11):1937–1944 (in Chinese) Google Scholar
  6. 6.
    Dakoulas P (1993) Response of earth dams in semicylindrical canyons to oblique SH waves. J Eng Mech 119(1):74–90Google Scholar
  7. 7.
    Dakoulas P, Hashmi H (1992) Wave passage effects on the response of earth dams. Soils Found 32(2):97–110Google Scholar
  8. 8.
    De Alba PA, Seed HB, Retamal E et al (1988) Analyses of dam failures in 1985 Chilean earthquake. J Geotech Eng 114(12):1414–1434Google Scholar
  9. 9.
    Diao Z, Ma W, Liu L, Wang J (2013) 3-D finite element analysis on seismic response of Jinfo mountain concrete faced rockfill dam. J Chongqing Jiaotong University Nat Sci 32(2):285–289 (in Chinese) Google Scholar
  10. 10.
    Dibaj M, Penzien J (1969) Response of earth dams to traveling seismic waves. J Soil Mech Found Div 95(2):541–560Google Scholar
  11. 11.
    Ding X, Kong G, Li P et al (2012) Finite element analysis of dynamic response of Maoergai earth-rockfill dam in earthquake disaster. Disaster Adv 5(4):1004–1009Google Scholar
  12. 12.
    Ding X, Kong G, Liu H et al (2013) Numerical analysis on seismic response of Shiziping earth-rockfill dam. Disaster Adv 6:94–101Google Scholar
  13. 13.
    Ding X, Liu H, Yu T et al (2013) Nonlinear finite element analysis of effect of seismic waves on dynamic response of Shiziping dam. J Cent South Univ 20:2323–2332Google Scholar
  14. 14.
    Eurocode 8: Design of structures for earthquake resistance-Part 2: Bridges. 1998Google Scholar
  15. 15.
    Fei K, Liu H (2010) Secondary development of ABAQUS and its application to static and dynamic analyses of earth-rockfill dam. Rock Soil Mech 31(3):881–890 (in Chinese) Google Scholar
  16. 16.
    Haeri S, Karimi M (2004) Three-dimensional dynamic analysis of concrete faced rockfill dam with spatial variable ground motion. J Dam Eng 14(4):257–294Google Scholar
  17. 17.
    Hall WS (1994) Boundary element method//the boundary element method. Springer, Netherlands, pp 61–83zbMATHGoogle Scholar
  18. 18.
    Haroun M, Abdel-Hafiz E (1987) Seismic response analysis of earth dams under differential ground motion. Bull Seismol Soc Am 77(5):1514–1529Google Scholar
  19. 19.
    ICOLD Bulletin 120 (2001) Design features of dams to effectively resist seismic ground motion, Committee on Seismic Aspects of Dam Design. ICOLD, ParisGoogle Scholar
  20. 20.
    Lamb H (1904) On the propagation of tremors over the surface of an elastic solid. Philosophical Transactions of the Royal Society of London. Series A, containing papers of a mathematical or physical character, vol 203, pp 1–42Google Scholar
  21. 21.
    Li B, Cheng L, Deeks A et al (2005) A modified scaled boundary finite-element method for problems with parallel side-faces. Part I. Theoretical developments. Appl Ocean Res 27(4):216–223Google Scholar
  22. 22.
    Liao W, Teng T, Yeh C (2004) A series solution and numerical technique for wave diffraction by a three-dimensional canyon. Wave Motion 39(2):129–142MathSciNetzbMATHGoogle Scholar
  23. 23.
    McKenna F, Fenves GL (2001) OpenSees manual, PEER Center
  24. 24.
    National Research Institute for Earth Science and Disaster Prevention website. Retrieved 1 Jan 2015, from
  25. 25.
    Pao YH, Mow CC (1973) Diffraction of elastic waves and dynamic stress Concentrations. Crane, Russak, New YorkGoogle Scholar
  26. 26.
    Papalou A, Bielak J (2001) Seismic elastic response of earth dams with canyon interaction. J Geotech Geoenviron Eng 127(5):446–453Google Scholar
  27. 27.
    Qi L, Chen Q, Cai J (2015) Effect of seismic permanent deformation on safety and stability of earth-rock dam slope. Trans Tianjin Univ 21:167–171Google Scholar
  28. 28.
    Sanchez-Sesma FJ (1983) Diffraction of elastic waves by three-dimensional surface irregularities. Bull Seismol Soc Am 73(6):1621–1636Google Scholar
  29. 29.
    Sanchez-Sesma FJ, Miguel AB, Ismael H (1985) Surface motion of topographical irregularities for incident P, SV, and Rayleigh waves. Bull Seismol Soc Am 75(1):263–269Google Scholar
  30. 30.
    Seed HB, Lee KL, Idriss IM et al (1975) The slides in the San Fernando dams during the earthquake of February 9, 1971. Journal of Geotechnical and Geoenvironmental Engineering, 101(ASCE# 11449 Proceeding)Google Scholar
  31. 31.
    Seiphoori A, Haeri S, Karimi M (2011) Three-dimensional nonlinear seismic analysis of concrete faced rockfill dams subjected to scattered P, SV, and SH waves considering the dam–foundation interaction effects. Soil Dyn Earthq Eng 31(5):792–804Google Scholar
  32. 32.
    Shen Z, Xu Z (1983) Seismic response analysis of geotechnical structures considering the traveling wave. J Hydraul Eng 11:37–43 (in Chinese) Google Scholar
  33. 33.
    Shen Z, Xu G (1996) Deformation behavior of rock materials under cyclic loading. J Nanjing Hydraul Res Inst 2:143–150 (in Chinese) Google Scholar
  34. 34.
    Shi ZM, Wang YQ, Peng M et al (2015) Characteristics of the landslide dams induced by the 2008 Wenchuan earthquake and dynamic behavior analysis using large-scale shaking table tests. Eng Geol 194:25–37Google Scholar
  35. 35.
    Tian J (2003) Earth dam’s response to multi-point input seismic incitation and relative researching method. Hohai University, Nanjing (in Chinese) Google Scholar
  36. 36.
    Verdugo R, Sitar N, Frost JD et al (2012) Seismic performance of earth structures during the February 2010 Maule, Chile, earthquake: dams, levees, tailings dams, and retaining walls. Earthq Spectra 28(S1):S75–S96Google Scholar
  37. 37.
    Wang X, Kang F, Li J et al (2012) Inverse parametric analysis of seismic permanent deformation for earth-rockfill dams using artificial neural networks. Math Probl Eng 2012:383749MathSciNetzbMATHGoogle Scholar
  38. 38.
    Wang F, Yang Z, Zhou J et al (2014) Brief introduction of the safety and key technology research for 300 m high concrete face rockfill dam. In: Proceedings of the high concrete face rockfill dam safety research and progress on soft rock dam technology, Nanjing, pp 19–22 (in Chinese)Google Scholar
  39. 39.
    Wang X, Kang F, Li J (2014) Back analysis of earthquake-induced permanent deformation parameters of earth-rock dams. Rock Soil Mech 35(1):279–286 (in Chinese) Google Scholar
  40. 40.
    Wong H (1982) Effect of surface topography on the diffraction of P, SV and rayleigh waves. Bull Seismol Soc Am 72(4):1167–1183Google Scholar
  41. 41.
    Wu Z (2007) Study of the worst seismic motion input for earth-dam seismic stability under the oblique incidence condition. PhD dissertation, China Earthquake Administration, Harbin (in Chinese) Google Scholar
  42. 42.
    Yang G, Liu K, Liu Y (2013) Research on the maximum anti-seismic capability of high earth rock-fill dam under strong earthquake. Disaster Adv 6:9–15Google Scholar
  43. 43.
    Yang J, Li G, Shen T (2014) Dynamic response analysis of high CFRD under complex terrain conditions. Rock Soil Mech 35(11):3331–3337 (in Chinese) Google Scholar
  44. 44.
    Yao Y, Liu T, Zhang J (2016) A new series solution method for two-dimensional elastic scattering by a canyon in half-space. Soil Dyn Earthq Eng 89:128–135Google Scholar
  45. 45.
    Zemanian AH (1968) Generalized integral transformations. Interscience Publishers, New YorkzbMATHGoogle Scholar
  46. 46.
    Zerva A, Ang AHS, Wen YK (1986) Development of differential response spectra for lifeline seismic analysis. Probab Eng Mech 1(4):208–218Google Scholar
  47. 47.
    Zhang S (2014) Research on the effect of incident directions of seismic waves on the dynamic response of rock-fill dam. Dalian University of Technology, Dalian (in Chinese) Google Scholar
  48. 48.
    Zhang J (2015) Geotechnical aspects and seismic damage of the 156-m-high Zipingpu concrete-faced rockfill dam following the Ms 8.0 Wenchuan earthquake. Soil Dyn Earthq Eng 76:145–156Google Scholar
  49. 49.
    Zhang L, Chopra AK (1991) Three-dimensional analysis of spatially varying ground motions around a uniform canyon in a homogeneous half-space. Earthq Eng Struct Dyn 20(10):911–926Google Scholar
  50. 50.
    Zhang L, Chopra AK (1991) Impedance functions for three-dimensional foundations supported on an infinitely-long canyon of uniform cross-section in a homogeneous half-space. Earthq Eng Struct Dyn 20(11):1011–1027Google Scholar
  51. 51.
    Zhang G, Zhang J (2009) Numerical modeling of soil–structure interface of a concrete-faced rockfill dam. Comput Geotech 36(5):762–772Google Scholar
  52. 52.
    Zhang C, Pan J, Wang J (2009) Influence of seismic input mechanisms and radiation damping on arch dam response. Soil Dyn Earthq Eng 29(9):1282–1293Google Scholar
  53. 53.
    Zhou W, Hua J, Chang X et al (2011) Settlement analysis of the Shuibuya concrete-face rockfill dam. Comput Geotech 38(2):269–280Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.China Renewable Energy Engineering InstituteBeijingChina
  2. 2.Department of Hydraulic EngineeringTsinghua UniversityBeijingChina
  3. 3.National Engineering Laboratory for Green and Safe Construction Technology in Urban Rail TransitTsinghua UniversityBeijingChina
  4. 4.State Key Laboratory of Hydroscience and EngineeringTsinghua UniversityBeijingChina

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