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Seismic response analysis of a hydraulic fill dam

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Abstract

The seismic response of a highly heterogeneous hydraulic fill dam was evaluated by studying the natural frequencies of the first and second modes of vibration and analyzing the crest accelerations of different two-dimensional or 2D sections of the dam when subjected to two different earthquake excitations. The existing methods for determination of the natural frequency of earthen embankment structures can only be used to analyze the structural response at small strain levels. However, during seismic events, the natural frequency of an earthen dam is significantly affected by the nonlinear material behavior exhibited by the geomaterials at high strain levels. Hence, a novel method was devised to evaluate the strain-dependent natural frequency for plane strain 2D dam sections, using a synthesized multi-sine base excitation. The degradation of first and second natural frequencies of transverse vibration for all the 2D sections followed a linear trend when plotted against the respective crest’s root mean square strain on a logarithmic scale. The slope of the degradation curve was found to depend on the constituent material properties prevalent in the individual sections. The observed variations in natural frequencies and crest accelerations of the 2D dam sections were also used to assess the suitability of using two-dimensional plane strain analyses for studying the response of a long earthen dam having variability in material properties. Results indicate that there is a considerable chance of erroneous estimation of the seismic response of such highly heterogeneous earthen dams that are conventionally analyzed using plane strain models. A 2D analysis was found to merely capture the seismic response of the individual sections of the dam as independent entities while ignoring the stiffening or weakening effect of the adjacent neighboring segments that may have different material properties.

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References

  1. Abdel-Ghaffar AM, Scott RF (1979) Analysis of earth dam response to earthquakes. J Geotech Eng Div 105:1379–1404

    Google Scholar 

  2. Abdel-Ghaffar AM, Scott RF, Craig MJ (1980) Full-scale experimental investigation of a modern earth dam. Report Number EERL-80-02, California

  3. Biswas N, Chakraborty S, Mosadegh L et al (2020) Influence of anisotropic permeability on slope stability analysis of an earthen dam during rapid drawdown. In: Geo-Congress 2020. American Society of Civil Engineers, Reston, VA, pp 29–39. https://doi.org/10.1061/9780784482797.004

  4. Bybordiani M, Arıcı Y (2017) The use of 3D modeling for the prediction of the seismic demands on the gravity dams. Earthq Eng Struct Dyn 46:1769–1789. https://doi.org/10.1002/eqe.2880

    Article  Google Scholar 

  5. Caballero SR (2017) A comprehensive resilience framework for the seismic evaluation of hydraulic fill dams in north Texas. The University of Texas at Arlington

  6. Cetin KO, Isik NS, Batmaz S, Karabiber S (2005) A comparative study on the actual and estimated seismic response of Kiralkizi Dam in Turkey. J Earthq Eng 9:445–460. https://doi.org/10.1080/13632460509350550

    Article  Google Scholar 

  7. Chakraborty S, Das JT, Banerjee A, Puppala AJ (2017) Effect of erroneous estimation of small strain shear moduli on seismic response of an earth dam. In: Indian geotechnical conference, Guwahati, India, pp 1–5

  8. Chakraborty S, Banerjee A, Das JT et al (2018) Impact of variation of small strain shear modulus on seismic slope stability analysis of a levee: a sensitivity analysis. In: IFCEE 2018. American Society of Civil Engineers, Reston, VA, pp 302–313. https://doi.org/10.1061/9780784481608.029

  9. Chakraborty S, Bheemasetti TV, Puppala AJ, Verreault L (2019) Use of constant energy source in SASW test and its influence on seismic response analysis. Geotech Test J 41:20170220. https://doi.org/10.1520/GTJ20170220

    Article  Google Scholar 

  10. Chakraborty S, Das JT, Puppala AJ, Banerjee A (2019) Natural frequency of earthen dams at different induced strain levels. Eng Geol 248:330–345. https://doi.org/10.1016/j.enggeo.2018.12.008

    Article  Google Scholar 

  11. Charatpangoon B, Kiyono J, Furukawa A, Hansapinyo C (2014) Dynamic analysis of earth dam damaged by the 2011 Off the Pacific Coast of Tohoku Earthquake. Soil Dyn Earthq Eng 64:50–62. https://doi.org/10.1016/j.soildyn.2014.05.002

    Article  Google Scholar 

  12. Chopra AK, Chakrabarti P (1972) The earthquake experience at koyna dam and stresses in concrete gravity dams. Earthq Eng Struct Dyn 1:151–164. https://doi.org/10.1002/eqe.4290010204

    Article  Google Scholar 

  13. Chopra AK, Chakrabarti P (1973) The Koyna earthquake and the damage to Koyna dam. Bull Seismol Soc Am 63:381–397

    Google Scholar 

  14. Choudhury D, Savoikar P (2009) Equivalent-linear seismic analyses of MSW landfills using DEEPSOIL. Eng Geol 107:98–108. https://doi.org/10.1016/j.enggeo.2009.05.004

    Article  Google Scholar 

  15. Clough RW, Chopra AK (1966) Earthquake stress analysis in earth dams. J Eng Mech Div 92:197–212

    Google Scholar 

  16. Dakoulas P, Gazetas G (1985) A class of inhomogeneous shear models for seismic response of dams and embankments. Int J Soil Dyn Earthq Eng 4:166–182. https://doi.org/10.1016/0261-7277(85)90037-3

    Article  Google Scholar 

  17. Dakoulas P, Gazetas G (1986) Seismic shear vibration of embankment dams in semi-cylindrical valleys. Earthq Eng Struct Dyn 14:19–40. https://doi.org/10.1002/eqe.4290140103

    Article  Google Scholar 

  18. Dakoulas P, Gazetas G (1987) Vibration characteristics of dams in narrow canyons. J Geotech Eng 113:899–904. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:8(899)

    Article  Google Scholar 

  19. Elgamal A-WM, Gunturi RV (1993) Dynamic behaviour and seismic response of El Infiernillo dam. Earthq Eng Struct Dyn 22:665–684. https://doi.org/10.1002/eqe.4290220803

    Article  Google Scholar 

  20. Gauron O, Boivin Y, Ambroise S et al (2018) Forced-vibration tests and numerical modeling of the Daniel–Johnson multiple-arch dam. J Perform Constr Facil 32:04017137. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001137

    Article  Google Scholar 

  21. Gazetas G (1987) Seismic response of earth dams: some recent developments. Soil Dyn Earthq Eng 6:2–47. https://doi.org/10.1016/0267-7261(87)90008-X

    Article  Google Scholar 

  22. Ike CCO (2008) Classical analysis of the shear vibration characteristics of an embankment dam. Niger J Technol 27:9–14

    Google Scholar 

  23. Ishibashi I, Zhang X (1993) Unified dynamic shear moduli and damping ratios of sand and clay. Soils Found 33:182–191. https://doi.org/10.3208/sandf1972.33.182

    Article  Google Scholar 

  24. Ishizaki H, Hatakeyama N (1962) Considerations on the vibrational behaviors of earth dams. Bull Disaster Prev Res Inst Kyoto Univ 52:1–23

    Google Scholar 

  25. Jafari MK, Davoodi M (2006) Dynamic characteristics evaluation of Masjed Soleiman Dam using in situ dynamic tests. Can Geotech J 43:997–1014. https://doi.org/10.1139/t06-059

    Article  Google Scholar 

  26. Keightley WO (1966) Vibrational characteristics of an earth dam. Bull Seism Soc Am 56:1207–1226

    Google Scholar 

  27. Kontoe S, Han B, Pelecanos L, Zdravkovic L (2019) Seismic response of earthfill and rockfill embankment dams. In: 3rd Meeting of EWG dams and earthquakes, LNEC, Lisbon, Portugal, pp 1–13

  28. Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div 99:421–427

    Google Scholar 

  29. Küpper AMAG (1991) Design of hydraulic fill. University of Alberta

  30. Mejia L, Dawson E (2010) 3D analysis of the seismic response of seven oaks dam. In: International conferences on recent advances in geotechnical earthquake engineering and soil dynamics, Missouri University of Science and Technology, San Diego, California, pp 1–13

  31. Mejia LH, Seed HB (1983) Comparison of 2D and 3D dynamic analyses of earth dams. J Geotech Eng 109:1383–1398. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:11(1383)

    Article  Google Scholar 

  32. Mejia LH, Seed HB, Lysmer J (1982) Dynamic analysis of earth dams in three dimensions. J Geotech Eng Div 108:1586–1604

    Google Scholar 

  33. Mononobe N, Takata A, Matumura M (1936) Seismic stability of the earth dam. In: Proceeding of the 2nd congress on large dams, Washington, DC, pp 435–442

  34. Montoya-Noguera S, Lopez-Caballero F (2016) Effect of coupling excess pore pressure and deformation on nonlinear seismic soil response. Acta Geotech 11:191–207. https://doi.org/10.1007/s11440-014-0355-7

    Article  Google Scholar 

  35. Mosadegh L, Chakraborty S, Biswas N et al (2020) Comparison of earthquake-induced pore water pressure and deformations in earthen dams using non-linear and equivalent linear analyses. In: Geo-Congress 2020, American Society of Civil Engineers, Reston, VA, pp 151–160

  36. Naeini M, Akhtarpour A (2018) Numerical analysis of seismic stability of a high centerline tailings dam. Soil Dyn Earthq Eng 107:179–194. https://doi.org/10.1016/j.soildyn.2018.01.019

    Article  Google Scholar 

  37. Okamoto S, Hakuno M, Kato K, Kawakami F (1969) On the dynamical behavior of an earth dam during earthquakes. In: Proceedings of the 4th world conference on earthquake engineering, Santiago, Chile, pp 443–457

  38. Parish Y, Sadek M, Shahrour I (2009) Review Article: numerical analysis of the seismic behaviour of earth dam. Nat Hazards Earth Syst Sci 9:451–458. https://doi.org/10.5194/nhess-9-451-2009

    Article  Google Scholar 

  39. Pelecanos L (2013) Seismic response and analysis of earth dams. Imperial College London, London

    Google Scholar 

  40. Pelecanos L, Kontoe S, Zdravkovic L (2019) Seismic response of earth dams in narrow canyons. In: 7th international conference on earthquake geotechnical engineering (7ICEGE), pp 17–20

  41. Petersen MD, Mueller CS, Moschetti MP et al (2016) 2016 one-year seismic hazard forecast for the Central and Eastern United States from induced and natural earthquakes. U.S. Geological Survey, Reston, VA

    Book  Google Scholar 

  42. Prevost JH, Abdel-Ghaffar AM, Lacy SJ (1985) Nonlinear dynamic analyses of an earth dam. J Geotech Eng 111:882–897. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:7(882)

    Article  Google Scholar 

  43. Puppala AJ, Congress SSC, Bheemasetti TV, Caballero SR (2018) Visualization of civil infrastructure emphasizing geomaterial characterization and performance. J Mater Civ Eng 30:04018236. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002434

    Article  Google Scholar 

  44. Rapti I, Lopez-Caballero F, Modaressi-Farahmand-Razavi A et al (2018) Liquefaction analysis and damage evaluation of embankment-type structures. Acta Geotech 13:1041–1059. https://doi.org/10.1007/s11440-018-0631-z

    Article  Google Scholar 

  45. Rathje EM, Bray JD (2000) Nonlinear coupled seismic sliding analysis of earth structures. J Geotech Geoenviron Eng 126:1002–1014. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:11(1002)

    Article  Google Scholar 

  46. Robertson PK, Cabal KL (2015) Guide to cone penetration testing for geotechnical engineering, 6th edn. Gregg Drilling and Testing Inc, California

    Google Scholar 

  47. Robertson PK, Campanella RG, Gillespie D, Greig J (1986) Use of piezometer cone data. In: Use of In Situ tests in geotechnical engineering, Specialty Publication, SM 92, pp 1263–1280

  48. TRWD (2016) TRWD History. http://www.trwd.com/about-trwd/history/. Accessed 18 May 2018

  49. Tsiapas YZ, Bouckovalas GD (2019) Equivalent linear computation of response spectra for liquefiable sites: the spectral interpolation method. Soil Dyn Earthq Eng 116:541–551. https://doi.org/10.1016/j.soildyn.2018.10.033

    Article  Google Scholar 

  50. USGS (2016) Induced earthquakes. https://earthquake.usgs.gov/research/induced/hazards.php. Accessed 12 May 2018

  51. Valenzuela L (2015) Tailings dams and hydraulic fills the 2015 Casagrande lecture. In: Geotechnical synergy in Buenos Aires 2015: Invited Lectures of the 15th Pan-American conference on soil mechanics and geotechnical engineering and the 8th south american congress on rock mechanics, 15–18 November 2015, Buenos Aires, Argentina, p 5

  52. Valenzuela L (2016) Design, construction, operation and the effect of fines content and permeability on the seismic performance of tailings sand dams in Chile. Obras y Proy. https://doi.org/10.4067/S0718-28132016000100001

    Article  Google Scholar 

  53. Vick SG (1996) Hydraulic tailings. In: Turner AK, Schuster RL, Schuster LR (eds) Landslides—investigation and mitigation. Special Report 247, Trans. Res. Board. National Academic Press, Washington, DC, pp 577–584

    Google Scholar 

  54. Wiltshire RL (2002) 100 Years of embankment dam design and construction in the US Bureau of Reclamation. In: Just Add Water Reclam Proj Dev Fantasies Up Basin Color River, vol 67

  55. Woodward PK, Griffiths DV (1993) Three-dimensional finite element analyses of the natural frequencies of non-homogeneous earth dams. Int J Rock Mech Min Sci Geomech Abstr 30:A199. https://doi.org/10.1016/0148-9062(93)93194-3

    Article  Google Scholar 

  56. Yao Y, Wang R, Liu T, Zhang J-M (2019) Seismic response of high concrete face rockfill dams subjected to non-uniform input motion. Acta Geotech 14:83–100. https://doi.org/10.1007/s11440-018-0632-y

    Article  Google Scholar 

  57. Zhu S, Zhou J (2010) Study on seismic-spectrum characteristics for 300 m-grade earth-rockfill dam. In: 2010 Asia-Pacific power and energy Engineering Conference, IEEE, pp 1–4

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Acknowledgements

This research was conducted as part of an ongoing research project (Grant ID: GCS # 2015-779) with the Tarrant Regional Water District (TRWD). The authors would like to acknowledge Mr. Louie Verreault, Mr. Jason Gehrig, Ms. Dorota Koterba and Mr. David Marshall of TRWD for their assistance with various research activities related to testing and for their assistance in coordinating various groups. The authors would like to acknowledge the NSF Industry-University Cooperative Research Center (I/UCRC) program funded ‘Center for Integration of Composites into Infrastructure (CICI)’ site at Texas A&M University, College Station (Award # 1464489).

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All the authors contributed toward this research study. Conceptualization, analysis and draft manuscript preparation were done by Sayantan Chakraborty. Tejo Bheemasetti and Jasaswee Das performed technical review of the previous draft versions of the manuscript and improved the quality of the manuscript. Anand Puppala was the primary investigator of the project; the research study was conducted under his supervision, and he reviewed and approved the final draft. All authors have read and approved the final manuscript.

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Correspondence to Anand J. Puppala.

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Sayantan Chakraborty, Tejo V. Bheemasetti, Jasaswee T. Das, Anand J. Puppala: Formerly affiliated with The University of Texas at Arlington, Arlington, Texas, USA

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Chakraborty, S., Bheemasetti, T.V., Das, J.T. et al. Seismic response analysis of a hydraulic fill dam. Acta Geotech. 15, 3095–3110 (2020). https://doi.org/10.1007/s11440-020-00978-w

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