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Kinematic Response of Pile Foundations in Liquefiable Soil of Indo-Gangetic Basin During Earthquake

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Abstract

Indo-Gangetic Basin (IGB) lying toward south of the Himalayas formed of deep alluvial layers is tectonically very active. It experienced some great earthquakes in past and signs of liquefaction had been reported by previous researchers. Understanding of deep alluvial deposit impact and liquefaction phenomena on response of pile foundations under seismic loading is of immense importance. This paper presents linear as well as nonlinear analyses of pile foundations of approach viaduct of a rail–road bridge near Patna situated in the liqueafiable soil of IGB. The above study was based on the parameters obtained from both field and laboratory tests. Six synthetic earthquakes of different magnitudes and peak ground acceleration were considered. A comprehensive state-of-the-art approach of determining kinematic response of pile foundation (considering liquefaction) using finite element method has been presented. A series of analyses were conducted such as free field ground response analysis, eigenvalue analysis for finding modes of vibration and dynamic linear and nonlinear time history analysis using HHT-α (Hilber, Hughes and Taylor) implicit direct method. Mohr–Coulomb criteria and UBCSAND model were used in this analysis. In linear analysis, liquefaction could not be simulated. However, in nonlinear analysis it could be done successfully, because the dynamic nonlinear analysis method has capability to perform investigation in the required strain range of liquefaction and lateral spreading.

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References

  1. Verma AK, Pati P, Sharma V (2017) Soft sediment deformation associated with the East Patna Fault south of the Ganga River, northern India: influence of the Himalayan tectonics on the southern Ganga plain. J Asian Earth Sci 143:109–121. https://doi.org/10.1016/j.jseaes.2017.04.016

    Article  Google Scholar 

  2. Kumar A, Anbazhagan P, Sitharam TG (2013) Seismic hazard analysis of Lucknow considering local and active seismic gaps. Nat Hazards 69(1):327–350. https://doi.org/10.1007/s11069-013-0712-0

    Article  Google Scholar 

  3. Escribano D, Bhattacharya S (2011) Performance of pile-supported bridges in liquefiable soils during major earthquakes. 5th International Conference on Earthquake Geotechnical Engineering, 10-13 January, 2011, Santiago, Chile. https://www.researchgate.net/publication/266897043_Performance_of_pile–supported_bridges_in_liquefiable_soils_during_major_earthquakes Accessed 27 August 2019

  4. Tokimatsu K, Seed HB (1987) Evaluation of settlements in sands due to earthquake shaking. J Geotech Geoenviron Eng. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:8(861)

    Article  Google Scholar 

  5. Abdoun T, Dobry R (2002) Evaluation of pile foundation response to lateral spreading. Soil Dyn Earthq Eng 22(9–12):1051–1058. https://doi.org/10.1016/s0267-7261(02)00130-6

    Article  Google Scholar 

  6. Finn WD, Fujita N (2002) Piles in liquefiable soils: seismic analysis and design issues. Soil Dyn Earthq Eng 22(9–12):731–742. https://doi.org/10.1016/s0267-7261(02)00094-5

    Article  Google Scholar 

  7. Boulanger RW, Chang D, Brandenberg SJ, Armstrong RJ, Kutter BL (2007) Seismic design of pile foundations for liquefaction effects. In: Pitilakis KD (ed) Earthquake geotechnical engineering. Springer, New York, pp 277–302

    Chapter  Google Scholar 

  8. Cubrinovski M, Haskell J, Bradley B (2010) Analysis and design of piles in liquefying soils. Report on Project BIE 08/545, New Zealand Earthquake Commission (EQC), Department of Civil and Natural Resources Engineering, University of Canterbury. https://www.eqc.govt.nz/sites/public_files/369-piles-liquefying-soils.pdf Accessed 30 Aug 2019

  9. Liu H, Zhai E (2013) Evaluation of pile foundations subjected to liquefaction induced lateral spreading. Second International Conference on Geotechnical and Earthquake Engineering, 25–27 October, 2013, Chendu, China https://doi.org/10.1061/9780784413128.085

  10. Dammala PK, Rouholamin M, Nikitas G, Bhattacharya S, Adapa MK, Mohanty P (2017) Bending response of pile foundations during partial liquefaction. Indian Geotechnical Conference, 14–16 December, 2017, IIT Guwahati, India. http://www.igs.org.in/portal/igc-proceedings/Theme12/Th12_589.pdf Accessed 27 Aug 2019

  11. Dammala PK, Rouholamin M, Nikitas G, Bhattacharya S, Adapa MK (2018) Lateral behavior of pile foundations during partial liquefaction. https://researchportal.port.ac.uk/portal/files/10348314/Lateral_behavior_of_pile_foundations_during_partial_liquefaction.pdf Accessed 27 Aug 2019

  12. Kardogan PSO, Isik NS, Onur MI, Bhattacharya S (2019) A study on the laterally loaded pile behaviour in liquefied soil using p-y method. https://www.researchgate.net/publication/331308554_A_Study_on_the_Laterally_Loaded_Pile_Behaviour_in_Liquefied_Soil_Using_P-Y_Method/link/5c73e44992851c69503f6ef7/download Accessed 27 Aug 2019

  13. Prevost JH (1985) A simple plasticity theory for frictional cohesionless soils. Int J Soil Dyn Earthq Eng 4(1):9–17. https://doi.org/10.1016/0261-7277(85)90030-0

    Article  Google Scholar 

  14. Muraleetharan KK, Mish KD, Arulanandan K (1994) A fully coupled non-linear dynamic analysis procedure and its verification using centrifuge test results. Int J Numer Anal Meth Geomech 18(5):305–325. https://doi.org/10.1002/nag.1610180503

    Article  MATH  Google Scholar 

  15. Manzari MT, Dafalias YF (1997) A critical state two-surface plasticity model for sands. Géotechnique 47(2):255–272. https://doi.org/10.1680/geot.1997.47.2.255

    Article  Google Scholar 

  16. Peng J, Lu J, Law KH, Elgamel A (2004) Paracyclic: Finite element modeling of earthquake liquefaction response on parallel computers. In: 13th world conference on earthquake engineering, 1–6 August, 2004, Vancouver, BC, Canada. http://www.iitk.ac.in/nicee/wcee/article/13_361.pdf Accessed 27 Aug 2019

  17. Elison KC, Andrade JC (2009) Liquefaction mapping in finite-element simulations. J Geotech Geoenviron Eng 135(11):1693–1701

    Article  Google Scholar 

  18. Galavi V, Petalas A, Brinkgreve RBJ (2013) Finite element modeling of seismic liquefaction in soils. Geotech Eng J SEAGS AGSSEA 44(3):55–64

    Google Scholar 

  19. Elgamal A, Yang Z, Parra E, Ragheb A (2003) Modeling of cyclic mobility in saturated cohesionless soils. Int J Plast 19(6):883–905. https://doi.org/10.1016/s0749-6419(02)00010-4

    Article  MATH  Google Scholar 

  20. Cubrinovski M, Bradley B (2009) Evaluation of seismic performance of geotechnical structures. https://core.ac.uk/download/pdf/35460726.pdf Accessed 27 Aug 2019

  21. Mohammadnejad T, Andrade JE (2014) Flow liquefaction instability prediction using finite element. Acta Geotech. https://doi.org/10.1007/s11440-014-0342-z

    Article  Google Scholar 

  22. Wobbes E, Beuth L, Vuik C, Stolle D (2017) Modeling liquefaction using dynamic two-phase FEM with UBC3D-PLM model. Procedia Eng 175:349–356

    Article  Google Scholar 

  23. Bhattacharya S, Madabhushi G (2008) A critical review of methods of pile design in seismically liquefiable soils. Bull Earthq Eng 6:407–446

    Article  Google Scholar 

  24. IRC:SP: 114 (2018) Guidelines for seismic design of road bridges. Indian Roads Congress (IRC), Ministry of Road Transport and Highways, Govt. of India, New Dehi

  25. Hilber HM, Hughes TJR, Taylor RL (1977) Improved numerical dissipation for time integration algorithms in structural dynamics. Earthq Eng Struct Dynm 5(3):283–292. https://doi.org/10.1002/eqe.4290050306

    Article  Google Scholar 

  26. IS 1893 (Part 1) (1893) Criteria for earthquake resistant design of structures. Bureau of Indian Standards, New Delhi

    Google Scholar 

  27. IRC-6 (2017) Standard specifications and code of practice for road bridges, Section: II—loads and load combinations. Indian Roads Congress, New Delhi

    Google Scholar 

  28. Rajendran CP, John B, Rajendran K, Sanwal J (2016) Liquefaction record of the great 1934 earthquake predecessors from the north Bihar alluvial plains of India. J Seismol 20(3):733–745. https://doi.org/10.1007/s10950-016-9554-z

    Article  Google Scholar 

  29. Shantharaju S, Venkataramana K (2016) Nepal earthquake 2015: a case study. In: Proceedings, 5th international engineering symposium, IES-2016, Kumamoto, Japan. https://www.researchgate.net/publication/323916732_Nepal_Earthquake_2015_A_case_study Accessed 9 Mar 2020

  30. Anbazhagan P, Bajaj K, Patel S (2015) Seismic hazard maps and spectrum for Patna considering region-specific seismotectonic parameters. Nat Hazards 78(2):1163–1195. https://doi.org/10.1007/s11069-015-1764-0

    Article  Google Scholar 

  31. Sitharam TG, Kolathayar S, James N (2015) Probabilistic assessment of surface level seismic hazard in India using topographic gradient as a proxy for site condition. Geosci Front 6:847–859

    Article  Google Scholar 

  32. Seed HB, Idriss IM (1971) Simplified procedure for evaluating soil liquefaction potential. J Soil Mech Found Div ASCE 97(9):1249–1273

    Article  Google Scholar 

  33. Seed HB, Idriss IM (1982) Ground motions and soil liquefaction during earthquakes. Earthquake Engineering Research Institute, Berkeley

    Google Scholar 

  34. Seed HB, Idriss IM, Arango I (1983) Evaluation of liquefaction potential using field performance data. J Geotech Eng 109(3):458–482. https://doi.org/10.1061/(asce)0733-9410(1983)109:3(458)

    Article  Google Scholar 

  35. Seed HB, Tokimatsu K, Harder LF, Chung RM (1985) Influence of SPT procedures in soil liquefaction resistance evaluations. J Geotech Eng 111(12):1425–1445

    Article  Google Scholar 

  36. Seed HB, Alba P De (1986) Use of SPT and CPT tests for evaluating the liquefaction resistance of sands. In: Clemence PJ (ed) Use of in situ tests in geotechnical engineering, GSP Geotechnical Special Publication (GSP) 6, ASCE, Speciality Conference, In Situ’86, 23–25 June, 1986, Blacksburg, Virginia, United States

  37. Youd TL et al (2001) Liquefaction resistance of soils: summary report from the 1996 NCEER and 1998 NCEER/NSF workshops on evaluation of liquefaction resistance of soils. J Geotech Eng 127(10):817–833

    Article  Google Scholar 

  38. Kavazanijan E, Matasovic N, Hadi-Hamou T, Sabatini PJ (1997) Geotechnical engineering circular No. 3: Design guidance: Geotechnical earthquake engineering for highways. Volume I—design principles. The National Academies of Sciences, Engineering, and Medicines, Washington, DC

    Google Scholar 

  39. Youd TL, Idriss IM (1997) Proceedings, NCEER workshop on evaluation of liquefaction resistance of soils. 31 December, 1997, Temple Square, Salt Lake City, Utah https://ubir.buffalo.edu/xmlui/bitstream/handle/10477/846/97-0022.pdf?sequence=3&isAllowed=y Accessed 3 Sept 2019

  40. Murthy VNS (2003) Geotechnical Engineering: principles and practices of soil mechanics and foundation engineering. Ebooks Corporation, Marcel Dekker Inc, New York, Basel

    Google Scholar 

  41. Mokwa RL (1999) Investigation of the resistance of pile cap to lateral loading. PhD dissertation, Virginia Polytechnic Institute and State University

  42. User Manual, MIDAS GTS NX, South Korea. http://manual.midasuser.com/en_common/GTS%20NX/150/GTX.htm Accessed 9 March 2020

  43. Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div ASCE 99(SM5):421–427

    Article  Google Scholar 

  44. Lysmer J, Udaka T, Tsai CF, Seed HB (1975) FLUSH: a computer program for approximate 3-D analysis of soil-structure interaction problems. Report EERC 75-30, Earthquake Engineering Research Center, University of Calfornia, Berkeley

  45. Cullum J, Donath WE (1974) A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace of large, sparse real symmetric matrices. In: 1974 IEEE conference on decision and control including the 13th symposium on adaptive processes, Phoenix, AZ, USA, 1974, pp 505–509 https://ieeexplore.ieee.org/document/4045283 Accessed 9 March 2020

  46. Sivakumar J (1985) Application of the boundary element method for soil structure interaction problems. PhD dissertation. Texas Tech University

  47. Wolf JP (1985) Dynamic soil-structure interaction. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  48. Lysmer J, Kuhlemeyer RL (1969) Finite dynamic model for infinite media. J Eng Mech Div ASCE 95(4):859–877

    Article  Google Scholar 

  49. Rayleigh L (1877) Theory of sound (two volumes). Dover Publications, New York

    Google Scholar 

  50. Love AEH (1944) A treatise on the mathematical theory of elasticity. Dover Publications, New York

    MATH  Google Scholar 

  51. Lysmer J, Waas G (1972) Shear waves in plane infinite structures. J Eng Mech Div ASCE 98(1):85–105

    Article  Google Scholar 

  52. Kramer SL (1996) Geotechnical earthquake engineering. Pearson Education, London

    Google Scholar 

  53. Amorosi A, Boldini D, Elia G (2010) Parametric study on seismic ground response by finite element modeling. Comput Geotech 37:515–528

    Article  Google Scholar 

  54. Badry RS, Ramancharla PK (2018) Local absorbing boundary conditions to simulate wave propagation in unbounded viscoelastic domains. Comput Struct 208:1–16. https://doi.org/10.1016/j.compstruc.2018.06.011

    Article  Google Scholar 

  55. Maheshwari BK, Truman KZ, El Naggar MH, Gould PL (2004) Three-dimensional non-linear analysis for seismic soil–pile-structure interaction. Soil Dyn Earthq Eng 24(4):343–356

    Article  Google Scholar 

  56. Maheshwari BK, Truman KZ, Gould PL, El Naggar MH (2005) Three-dimensional non-linear seismic analysis of single piles using finite element model: effects of plasticity of soil. Int J Geomech 5(1):35–44

    Article  Google Scholar 

  57. Beaty M, Byrne PM (1998) An effective stress model for predicting liquefaction behaviour of sand, Geotechnical Earthquake Engineering and soil dynamics III, ASCE. Geotech Spec Publ 75(1):766–777

    Google Scholar 

  58. Vandanapu R, Omer JR, Attom MF (2019) Three-dimensional finite element analyses of ground settlement and structural damage caused by irrigation of desert landscapes overlying collapsible soil strata. Int J Geotech Eng. https://doi.org/10.1080/19386362.2019.1573475

    Article  Google Scholar 

  59. Skempton AW (1954) The pore-pressure coefficient A and B. Geotechnique 4:143–147

    Article  Google Scholar 

  60. Puebla H (1999) A constitutive model for sand and the analysis of the CanLex Embankments. PhD Dissertation, University of British Columbia

  61. Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley, New York. https://doi.org/10.1002/9780470172858

    Book  Google Scholar 

  62. Wolf JP, Obernhuber P (1985) Non-linear soil–structure-interaction analysis using dynamic stiffness or flexibility of soil in the time domain. Earthq Eng Struct Dyn 13(2):195–212

    Article  Google Scholar 

  63. Newmark M (1959) A method of computation for structural dynamics. J Eng Mech Div ASCE 85(3):67–94. https://cedb.asce.org/CEDBsearch/record.jsp?dockey=0011858 Accessed 9 March 2020

  64. Jiménez GAL, Dias D, Jenck O (2019) Effect of the soil–pile–structure interaction in seismic analysis: case of liquefiable soils. Acta Geotech 14(5):1509–1525

    Article  Google Scholar 

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Acknowledgements

The authors are highly thankful to Sri Kamal Kishore Sone, Secretary, Road Construction Department, Government of Jharkhand, for his kind advices and encouragement; Bihar Rajya Pul Nirman Nigam Ltd (A Govt. of Bihar Undertaking), 7, Sardar Patel Marg, Patna, and their consultants; Cube Engitech Consultants Pvt. Ltd, Jeevan Lok Hospital Complex, Main Road, Hinoo, Ranchi-2, for sharing the design information of rail-cum-road Ganga bridge viaduct near Patna. Also, the cooperation extended by MIDAS Research and Development Centre India Pvt. Ltd, Navi Mumbai, in providing online free of cost licenses is gratefully acknowledged.

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Correspondence to Siddhartha Sengupta.

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Sahay, N., Sengupta, S., Kumar, A. et al. Kinematic Response of Pile Foundations in Liquefiable Soil of Indo-Gangetic Basin During Earthquake. Indian Geotech J 51, 286–314 (2021). https://doi.org/10.1007/s40098-020-00446-y

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