An equation for estimating the maximum normal strain of buried steel pipes in bend area under propagating waves in sands

Document Type : Article

Authors

1 Freelance Structural Engineer, Shahrekord, Chaharmahal and Bakhtiari 8815968717, Iran

2 Department of Civil Engineering, Isfahan University of Technology, Isfahan 8415683111, Iran

Abstract

The possible vulnerability of pipelines under propagating waves especially at bend area emphasizes the need of studying in this context. In the presented studies in this field the beam and beam-shell hybrid models were usually used but in this study a continuum model is examined. For this purpose, the bent pipe is modeled by shell elements and suitable boundary conditions are considered to simulate the infinite length of the pipe away from the bend. The soil around the pipe is modeled by 3D elements obeying the Mohr-Coulomb rule of behavior. Also, equivalent boundary conditions are used at the boundaries of the soil domain where it is truncated. By varying the properties of the pipe-soil model, it is investigated under seven different ground motions and the maximum axial strain is calculated at the bend area. Effects of different parameters including incidence angle of seismic waves, bend angle, pipe diameter to wall thickness ratio, and physical properties of soil are investigated. Using the results of analysis and regression, an equation is proposed for estimating the maximum normal strain of buried pipes at the bend area with good accuracy.

Keywords


References:
[1] Newmark, N.M. “Problems in wave propagation in soil and rock”, International Symposium on Wave Propagation and Dynamic Properties of Earth Materials, Univ. of New Mexico, Albuquerque, pp. 7–26 (1968).
[2] Sakurai, A. and Takahashi, T. “Dynamic stresses of underground pipelines during earthquake”, Fourth World Conference on Earthquake Engineering, Santiago, Chile, pp. 81–95 (1969).
[3] O’Rourke, M.J. and El Hmadi, K. “Analysis of continuous buried pipelines for seismic wave effects”, Earthq. Eng. Struct. Dyn., 16, pp. 917–929 (1988).
[4] Takada, S. and Tanabe K. “Three dimensional seismic response analysis of buried continuous or jointed pipelines”, J. Press Vessel Technol., 109, pp. 80–87 (1987).
[5] Takada, S. and Higashi, S. “Seismic response analysis for jointed buried pipeline by using shell FEM model”, Tenth World Conference on Earthquake Engineering, pp. 5487–5492 (1992).
[6] Stamos, A.A. and Beskos D.E. “Dynamic analysis of large 3-D underground structures by the BEM”, Earthq. Eng. Struct. Dyn., 24, pp. 917–934 (1995).
[7] Datta, T.K. “Seismic response of buried pipelines: a state-of-the-art review”, Nucl. Eng. Des., 192, pp. 271–284 (1999).
[8] Takada, S. and Katagiri, S. “Shell model response analysis of buried pipelines”, Fourth U.S. Conference of Lifeline Earthquake Engineering, pp. 256–263 (1995).
[9] Kouretzis, G.P., Bouckovalas, G.D. and Gantes C.J. “3-D shell analysis of cylindrical underground structures under seismic shear wave action”, Soil Dyn. Earthq. Eng., 26, pp. 909–921 (2006).
[10] Azizkandi, A.S., Baziar M.H., Modarresi, M., Salehzadeh. H. and Rasouli, H. “Centrifuge modeling of pile-soil-pile interaction considering relative density and toe condition”, Scientia Iranica A, 21(4), pp. 1330-1339 (2014).
[11] Khaksar, R.Y., Moradi, M. and Ghalandarzadeh, A. “Response of buried oil and gas pipelines subjected to reverse faulting: A novel centrifuge-finite element approach”, Scientia Iranica A, 25(5), pp. 2501-2516 (2018).
[12] Zhou, X.P., Bi, J. and Qian, Q.H. “Numerical simulation of crack growth and coalescence in rock-like materials containing multiple pre-existing flaws”, Rock Mechanics and Rock Engineering, 48(3), pp. 1097-1114 (2015).
[13] Bi, J., Zhou X.P. and Qian, Q.H. “The 3D numerical simulation for the propagation process of multiple pre-existing flaws in rock-like materials subjected to biaxial compressive loads”, Rock Mechanics and Rock Engineering, 49(5), pp. 1611-1627 (2016).
[14] Zhou, X.P. and Yang, H.Q. “Multiscale numerical modeling of propagation and coalescence of multiple cracks in rock masses”, International Journal of Rock Mechanics and Mining Sciences, 55, pp. 15-27 (2012).
[15] Zhou, X.P., Chen, J.W. and Berto, F. “XFEM based node scheme for the frictional contact crack problem”, Computers and Structures, 231, 106221 (2020).
[16] Chen, J.W. and Zhou, X.P. “The enhanced extended finite element method for the propagation of complex branched cracks”, Engineering Analysis with Boundary Elements, 104, pp. 46-62 (2019).
[17] Wang, Y., Zhou, X. and Xu, X. “Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics”, Engineering Fracture Mechanics, 163, pp. 248-273 (2016).
[18] Wang, Y., Zhou, X., Wang, Y. and Shou, Y. “A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids”, International Journal of Solids and Structures, 134, pp. 89-115 (2018).
[19] Zhou, X., Wang, L. and Shou, Y. “Understanding the fracture mechanism of ring Brazilian disc specimens by the phase field method”, International Journal of Fracture, 226(1), pp. 17-43 (2020).
[20] Wang, L. and Zhou, X. “Phase field model for simulating the fracture behaviors of some disc-type specimens”, Engineering Fracture Mechanics, 226, 106870 (2020).
[21] Shah, H. and Chu, S. “Seismic analysis of underground structural element”, J. Power Div., 100, pp. 53–62 (1974).
[22] Ogawa, Y. and Koike, T. “Structural design of buried pipeline for sever earthquake”, Soil Dyn. Earthq. Eng., 21, pp. 199–209 (2001).
[23] Mclaughlin, P.M. and O’Rourke, M. “Strain in pipe elbows due to wave propagation hazard”, Lifeline Earthquake Engineering in a Multihazard Environment, ASCE (2009).
[24] Lee, D.H., Kim, B.H., Lee H. and Kong J.S. “Seismic behavior of a buried gas pipeline under earthquake excitations”, Eng. Struct., 3, pp. 1011–1023 (2009).
[25] Hatzigeorgiou, G.D. and Beskos, D.E. “Soil-structure interaction effects on seismic inelastic analysis of 3-D tunnels”, Soil Dynamics and Earthquake Engineering, 30, pp. 851–861 (2010).
[26] Saberi, M., Behnamfar, F. and Vafaeian, M. “A semi-analytical model for estimating seismic behavior of buried steel pipes at bend point under propagating waves”, Bull. Earthquake Eng., 11, pp. 1373-1402 (2013).
[27] American Petroleum Institute, “Specification for line pipe”, API specification 5L, Forty-Second Edition (2000).
[28] Bowles, J.E. “Foundation analysis and design”, The McGraw-Hill Companies, N.Y. (1996).
[29] Seed, H.B. and Idriss, I.M. “Soil moduli and damping factors for dynamic response analyses”, Report No. EERC 70-10, Earthquake Engineering Research Center, University of California, Berkeley, C.A. (1970).
[30] Jin, S., Li, Z., Dong, Z., Lan, T. and Gong, J. “A simplified fragility analysis methodology for containment structure subjected to overpressure condition”, International Journal of Pressure Vessels and Piping, 184, 104104 (2020).
[31] Wolf J.P. “Dynamic Soil-Structure Interaction”, The Prentice-Hall Company (1985).
[32] Liu, A.I., Hu, Y.X., Zhao, F.X., Li, X.J., Takada, S. and Zhao, L. “An equivalent-boundary method for the shell analysis of buried pipelines under fault movement”, Acta Seismol. Sinica, 17, pp. 150–156 (2004).
[33] PEER NGA, Pacific Earthquake Engineering Research Center, http://peer.berkeley.edu/, accessed July 2015.
[34] SHAKE2000, “A Computer Program for the 1-D Analysis of Geotechnical Earthquake Engineering Problems”, User’s Manual, Geo Motions, LLC, Lacey, Wash., 2000, 264 pp., available at: http://www.geomotions.com/, accessed July 2015.
[35] ASCE7-10, “Minimum Design Loads for Buildings and Other Structures”, American Society of Civil Engineers, (2010).
[36] American lifelines alliance (ALA), “Guidelines for the design of buried steel pipe”, American Society of Civil Engineers, (2001).
Volume 29, Issue 3
Transactions on Civil Engineering (A)
May and June 2022
Pages 973-989
  • Receive Date: 24 March 2020
  • Revise Date: 16 May 2021
  • Accept Date: 19 July 2021