Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Deflection and buckling of buried flexible pipe-soil system in a spatially variable soil profile

  • Srivastava, Amit (Department of Civil Engineering, Jaypee University of Engineering & Technology Guna) ;
  • Sivakumar Babu, G.L. (Department of Civil Engineering, Jaypee University of Engineering & Technology Guna)
  • Received : 2010.05.04
  • Accepted : 2011.07.26
  • Published : 2011.09.25
⟨ Previous Next ⟩

Abstract

Response of buried flexible pipe-soil system is studied, through numerical analysis, with respect to deflection and buckling in a spatially varying soil media. In numerical modeling procedure, soil parameters are modeled as two-dimensional non-Gaussian homogeneous random field using Cholesky decomposition technique. Numerical analysis is performed using random field theory combined with finite difference numerical code FLAC 5.0 (2D). Monte Carlo simulations are performed to obtain the statistics, i.e., mean and variance of deflection and circumferential (buckling) stresses of buried flexible pipe-soil system in a spatially varying soil media. Results are compared and discussed in the light of available analytical solutions as well as conventional numerical procedures in which soil parameters are considered as uniformly constant. The statistical information obtained from Monte Carlo simulations is further utilized for the reliability analysis of buried flexible pipe-soil system with respect to deflection and buckling. The results of the reliability analysis clearly demonstrate the influence of extent of variation and spatial correlation structure of soil parameters on the performance assessment of buried flexible pipe-soil systems, which is not well captured in conventional procedures.

Keywords

References

  1. American Association of State Highways and Transportation Officials (ASHTO), (2004), "LRFD bridge design specifications", Washington, DC.
  2. American Water Works Association (AWWA) (1996), "Fiberglass pipe design", Manual M45, Denver.
  3. American Water Works Association (AWWA) (1983), "Glass-fiberreinforced thermosetting-resin pressure pipe", C950-81, Approved January 25, 1981; Addendum C950a-83 Approved January 30, 1983, Denver.
  4. American Water Works Association (AWWA) (1989), "Steel pipe - a guide for design and installation", Manual M11, Denver.
  5. Baecher, G.B. and Christian, J.T. (2003), Reliability and statistics in geotechnical Engineering, John Wiley Publications.
  6. Baikie, L.D. and Meyerhof, G.G. (1982), "Buckling behavior of buried flexible structures", Proc., 4th International Conf. on Numerical Methods in Geomechanics, Edmonton, A. A. Balkema, Rotterdam, The Netherlands, 2, 875-882.
  7. Burns, J.Q. and Richard, R.M. (1964), "Attenuation of stress for buried cylinders", Proc. Symp. Soil Structure Interaction, Univ. of Ariz., Tuscon, Arizona, 378-392.
  8. Carrier, W.D. (2005), "Buckling versus deflection of buried flexible pipe", J. Geotech. Geoenviron. Eng. - ASCE, 131(6), 804-807. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:6(804)
  9. Degroot, D.J. (1996), "Analyzing spatial variability of in-situ soil properties in uncertainty in the geologic environment: from theory to practice", Proceedings of uncertainty, 96 ASCE, Geotechnical Special Publication, C.D. Shackelford, P.P. Nelson, and M.J.S. Roth, eds., 58, 210-238.
  10. Duncan, J.M. (2000), "Factors of safety and reliability in geotechnical engineering", J. Geotech. Geoenviron. Eng. - ASCE, 126(4), 307-316. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(307)
  11. Fenton, G.A. and Griffiths, D.V. (2003), "Bearing capacity prediction of spatially random c - $\phi$ soils", Can. Geotech. J., 40(1), 54-65. https://doi.org/10.1139/t02-086
  12. Fenton, G.A. and Griffiths, D.V. (1995), "Flow through earth dams with spatially random permeability", Proceedings of the 10th ASCE Engineering Mechanics Conference, Boulder, Colorado.
  13. Fenton, G.A. (1996), "Data analysis/geostatistics, chapter 4 of probabilistic methods in geotechnical engineering", Notes from workshop presented at ASCE uncertainty' 1996 conference, Madison, WI, July 31, 1996, sponsored by ASCE geotechnical safety and reliability committee, G. A. Fenton ed.
  14. Griffiths, D.V., Fenton, G.A. and Manoharan, N. (2002), "Bearing capacity of rough rigid strip footing on cohesive soil: probabilistic study", J. Geotech. Geoenviron. Eng. - ASCE, 128(9), 743-755. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:9(743)
  15. Griffiths, D.V. and Fenton, G.A. (2001), "Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited", Geotechnique, 54(4), 351-359. https://doi.org/10.1680/geot.2004.54.6.351
  16. Griffiths, D.V. and Fenton, G.A. (2007), Probabilistic method in geotechnical engineering, Springer.
  17. Griffiths, D.V. and Fenton, G.A. (2004), "Probabilistic slope stability analysis by finite elements", J. Geotech. Geoenviron. Eng. - ASCE, 130(5), 507-518. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
  18. Griffiths, D.V. and Fenton, G.A. (1993), "Seepage beneath water retaining structures founded on spatially random soil", Geotechnique, 43(6), 577-587. https://doi.org/10.1680/geot.1993.43.4.577
  19. Haldar, A. and Mahadevan, S. (2000), Probability, reliability and statistical methods in engineering design, NY: John Wiley & Sons.
  20. Itasca (2007), FLAC 5.0 reference manual, Itasca Consulting Group, Minneapolis.
  21. Kang, J., Parker, F. and Yoo, C.H. (2008), "Soil-structure interaction for deeply buried corrugated steel pipes, Part I: Embankment installation", Eng. Struct., 20, 384-392.
  22. Lacasse, S. and Nadim, F. (1996), "Uncertainties in characterizing soil properties", In Shackleford, C.D., Nelson, P.P., and Roth, M.J.S. (Eds.), Uncertainty in the Geologic Environment (GSP 58), ASCE, 49-75.
  23. Luscher, U. (1965), "Buckling of soil-surrounded tubes", J. Soil Mech. Found. Eng. Division - ASCE, 92(6), 211-228.
  24. Marston, A. and Anderson, A.O. (1913), "The theory of loads on pipes in ditches and test of cement and clay drain tile and sewer pipe", Iowa Eng. Experiment Station, Ames, Bulletin 31, Iowa, U.S.A.
  25. Marston, A. (1930), "The theory of external loads on closed conduits in the light of the latest experiments", Iowa Engineering Experiment Station, Ames, Bulletin 96, Iowa, U.S.A.
  26. McGrath, T.J. (1998), "Design method for flexible pipe", A report to the ASSHTO flexible culvert liaison committee, Arlington (MA): Simpson Gumpertz & Heger Inc.
  27. Moser, A.P. (1990), Buried pipe design, Mc. Graw Hill Inc. NY.
  28. Phoon, K.K. and Kulhawy, F.H. (1999a), "Characterization of geotechnical variability", Can. Geotech. J., 36, 612-624. https://doi.org/10.1139/t99-038
  29. Phoon, K.K. and Kulhawy, F.H. (1999b), "Evaluation of geotechnical property variability", Can. Geotech. J., 36, 625-639. https://doi.org/10.1139/t99-039
  30. Phoon, K.K. and Kulhawy, F.H. (1996), "On quantifying inherent soil variability, in uncertainty in the geologic environment: from theory to practice", Proceedings of uncertainty' 96 ASCE, Geotechnical Special Publication, C.D. Shackelford, P.P Nelson, and M.J.S. Roth, eds., 58, 326-340.
  31. Phoon, K.K. (2004), "Towards reliability-based design for geotechnical engineering", Special lecture for Korean Geotechnical Society, 2004, Seoul. The article is available at: http://www.eng.nus.edu.sg/civil/people/cvepkk/ Special_KGS_2004.pdf.
  32. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (2002), Numerical recipes in C++: the art of scientific computing, Second Edition, Cambridge University.
  33. Schweiger, H.F., Thurner, R. and Pottler, R. (2001), "Reliability analysis in geotechnics with deterministic finite elements", Int. J. Geomech. - ASCE, 1(4), 389-413. https://doi.org/10.1061/(ASCE)1532-3641(2001)1:4(389)
  34. Sivakumar Babu, G.L. and Rajaparthy, S.R. (2005), "Reliability measures for buried flexible pipes", Can. Geotech. J., 42, 541-549. https://doi.org/10.1139/t04-116
  35. Sivakumar Babu, G.L., Srinivasa Murthy, B.R. and Seshagiri Rao, R. (2006), "Reliability analysis of deflection of buried flexible pipes", J. Transp. Eng. - ASCE, 132(10), 829-836. https://doi.org/10.1061/(ASCE)0733-947X(2006)132:10(829)
  36. Spangler, M.G. (1941), "The structural design of flexible culverts", LOWA state college bulletin, 30(XI), Ames (IA).
  37. Stephenson, D. (1976), Pipeline design for water Engineers, Elsevier Scientific Publishing Company, New York.
  38. USACE (1997), Engineering and design: introduction to probability and reliability methods for use in geotechnical engineering, Department of the Army, Washington, D.C., Engineering Circular, No. 1110-2-547.
  39. Uzielli, M., Lacasse, S., Nadim, F. and Phoon, K.K. (2007), Soil variability analysis for geotechnical practice - Characterization and engineering properties of natural soils, Tan, Phoon, Hight & Lerouel (eds.), Taylor & Francis, ISBN 978-0-415-42691-6.
  40. Vanmarcke, E.H. (1977a), "Probabilistic modeling of soil profiles", J. Geotech. Eng. - ASCE, 103, 1227-1246.
  41. Vanmarcke, E.H. (1983), Random fields: analysis and synthesis, MIT Press, Cambridge.
  42. Watkins, R.K. and Spangler, M.G. (1958), "Some characteristics of the modulus of passive resistance of the soila study in similitude", Highway Res. Board, 37, 576-583.

Cited by

  1. Numerical Study on Buckling of End-Bearing Piles in Soft Soil Subjected to Axial Loads vol.36, pp.5, 2018, https://doi.org/10.1007/s10706-018-0529-4
  2. Pulsating fluid induced dynamic stability of embedded viscoelastic piezoelectric separators using different cylindrical shell theories vol.24, pp.4, 2011, https://doi.org/10.12989/scs.2017.24.4.499
  3. Evaluation of soil spatial variability by micro-structure simulation vol.17, pp.6, 2011, https://doi.org/10.12989/gae.2019.17.6.565
  4. Modeling Deformation of Corroded Buried Steel Pipes and Design of Protective Measure vol.142, pp.1, 2020, https://doi.org/10.1115/1.4045025
  5. Probabilistic bearing capacity of strip footing on reinforced anisotropic soil slope vol.23, pp.1, 2020, https://doi.org/10.12989/gae.2020.23.1.015
  6. Vertical load on a conduit buried under a sloping ground vol.24, pp.6, 2021, https://doi.org/10.12989/gae.2021.24.6.599