Uplift Resistance of Long Pipelines in the Presence of Seismic Forces
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 5, Issue 4
Abstract
The vertical uplift resistance of long pipes buried in sands and subjected to pseudostatic seismic forces has been computed by using the lower-bound theorem of the limit analysis in conjunction with finite elements and nonlinear optimization. The soil mass is assumed to follow the Mohr-Coulomb failure criterion and an associated flow rule. The failure load is expressed in the form of a nondimensional uplift factor . The variation of is plotted as a function of the embedment ratio of the pipe, horizontal seismic acceleration coefficient (), and soil friction angle (). The magnitude of is found to decrease continuously with an increase in the horizontal seismic acceleration coefficient. The reduction in the uplift resistance becomes quite significant, especially for greater values of embedment ratios and lower values of friction angle. The predicted uplift resistance was found to compare well with the existing results reported from the literature.
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References
Abbo, A. J., and Sloan, S. W. (1995). “A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion.” Comput. Struct., 54(3), 427–441.
Bolton, M. D. (1986). “The strength and dilatancy of sands.” Géotechnique, 36(1), 65–78.
Chakraborty, D., and Kumar, J. (2013). “Bearing capacity of foundations on slopes.” Geomech. Geoeng., 8(4), 274–285.
Chakraborty, D., and Kumar, J. (2014). “Vertical uplift resistance of pipes buried in sand.” J. Pipeline Syst. Eng. Pract., 04013009.
Cheuk, C. Y., White, D. J., and Bolton, M. D. (2008). “Uplift mechanisms of pipes buried in sand.” J. Geotech. Geoenviron. Eng., 154–163.
Dickin, E. A. (1994). “Uplift resistance of buried pipelines in sand.” Soils Found., 34(2), 41–48.
Drescher, A., and Detournay, E. (1993). “Limit load in translational failure mechanisms for associative and non-associative materials.” Géotechnique, 43(3), 443–456.
Fukushima, S., and Tatsuoka, F. (1984). “Strength and deformation characteristics of saturated sand at extremely low pressure.” Soils Found., 24(4), 30–48.
Gens, A., Hutchinson, J., and Cavounidis, S. (1988). “Three-dimensional analysis of slides in cohesive soils.” Géotechnique, 38(1), 1–23.
Hindy, A., and Novak, M. (1979). “Earthquake response of underground pipelines.” Earthquake Eng. Struct. Dynam., 7(5), 451–476.
Jung, J. K., O’Rourke, T. D., and Olson, N. A. (2013a) “Lateral soil-pipe interaction in dry and partially saturated sand.” J. Geotech. Geoenviron. Eng., 2028–2036.
Jung, J. K., O’Rourke, T. D., and Olson, N. A. (2013b). “Uplift soil-pipe interaction in granular soil.” Can. Geotech. J., 50(7), 744–753.
Khatri, V. N., and Kumar, J. (2011). “Effect of anchor width on pullout capacity of strip anchors in sand.” Can. Geotech. J., 48(3), 511–517.
Krabbenhoft, K., and Damkilde, L. (2003). “A general nonlinear optimization algorithm for lower bound limit analysis.” Int. J. Numer. Methods Eng., 56(2), 165–184.
Kumar, J. (2001). “Seismic vertical uplift capacity of strip anchors.” Géotechnique, 51(3), 275–279.
Kumar, J. (2002). “Uplift response of buried pipes in sands using FEM.” Ind. Geotech. J., 32(2), 146–160.
Lee, D. H., Kimb, B. H., Lee, H., and Kong, J. S. (2009). “Seismic behavior of a buried gas pipeline under earthquake excitations.” Eng. Struct., 31(5), 1011–1023.
Ling, H. I., Mohri, Y., Kawabata, T., Liu, H., Burke, C., and Sun, L. (2003). “Centrifugal modeling of seismic behavior of large-diameter pipeline in liquefiable soil.” J. Geotech. Geoenviron. Eng., 1092–1101.
Ling, H. I., Sun, L., Liu, H., Mohri, Y., and Kawabata, T. (2008). “Finite element analysis of pipe buried in saturated soil deposit subject to earthquake loading.” J. Earthquake Tsunami, 2(1), 1–17.
Lyamin, A. V., and Sloan, S. W. (2002). “Lower bound limit analysis using nonlinear programming.” Int. J. Numer. Methods Eng., 55(5), 573–611.
MATLAB 7.9 [Computer software]. Natick, MA, MathWorks.
Merifield, R. S., and Sloan, S. W. (2006). “The ultimate pullout capacity of anchors in frictional soils.” Can. Geotech. J., 43(8), 852–868.
Merifield, R. S., Sloan, S. W., and Yu, H. S. (2001). “Stability of plate anchors in undrained clay.” Géotechnique, 51(2), 141–153.
Meyerhof, G. G., and Adams, J. I. (1968). “The ultimate uplift capacity of foundations.” Can. Geotech. J., 5(4), 225–244.
Michalowski, R. L. (2010). “Limit analysis and stability charts for 3D slope failures.” J. Geotech. Geoenviron. Eng., 583–593.
Mohri, Y., Kawabata, T., and Ling, H. I. (1999). “Experimental study on the effects of vertical shaking on the behavior of underground pipelines.” Proc., 2nd Int. Conf. on Earthquake Geotechnical Engineering, Lisbon, Portugal, 489–494.
Murray, E. J., and Geddes, J. D. (1987). “Uplift of anchor plates in sand.” J. Geotech. Eng., 202–215.
Nelson, I., and Weidlinger, P. (1979). “Dynamic seismic analysis of long segmented lifelines.” J. Pressure Vessel Technol., 101(1), 10–20.
Newmark, N. M., and Hall, W. J. (1975). “Pipeline design to resist large fault displacement.” Proc., 1st US Conf. on Earthquake Engineering, Ann Arbor, MI, 416–425.
Newmark, N. M., and Rosenblueth, E. (1971). Fundamentals of earthquake engineering, Prentice-Hall, Englewood Cliffs, NJ.
Rowe, R. K., and Davis, E. H. (1982). “The behaviour of anchor plates in sand.” Géotechnique, 32(1), 25–41.
Saeedzadeh, R., and Hataf, N. (2011). “Uplift response of buried pipelines in saturated sand deposit under earthquake loading.” Soil Dynam. Earthquake Eng., 31(10), 1378–1384.
Shah, H. H., and Chu, S. C. (1974). “Seismic analysis of underground structural elements.” J. Power Div., 100(1), 53–62.
Sloan, S. W. (1988). “Lower bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Meth. Geomech., 12(1), 61–77.
Subba Rao, K. S., and Kumar, J. (1994). “Vertical uplift capacity of horizontal anchors.” J. Geotech. Eng., 1134–1147.
Trautmann, C. H., O’Rourke, T. D., and Kulhaway, F. H. (1985). “Uplift force-displacement response of buried pipe.” J. Geotech. Eng., 1061–1076.
Wang, L. R. L., O’Rourke, M. J., and Pikul, R. R. (1979). “Seismic response behavior of buried pipelines.” J. Pressure Vessel Technol., 101(1), 21–30.
Wang, L. R. L., Shim, J. S., Ishibashi, I., and Wang, Y. (1990). “Dynamic response of buried pipelines during a liquefaction process.” Soil Dynam. Earthquake Eng., 9(1), 44–50.
Wang, L. R. L., and Yeh, Y. H. (1985). “A refined seismic analysis and design of buried pipelines for fault movement.” Earthquake Eng. Struct. Dynam., 13(1), 75–96.
White, D. J., Barefoot, A. J., and Bolton, M. D. (2001). “Centrifuge modeling of upheaval buckling in sand.” Int. J. Phys. Model. Geotech., 1(2), 19–28.
White, D. J., Cheuk, C. Y., and Bolton, M. D. (2008). “The uplift resistance of pipes and plate anchors buried in sand.” Géotechnique, 58(10), 771–779.
Yimsiri, S., Soga, K., Yoshizaki, K., Dasari, G. R., and O’Rourke, T. D. (2004). “Lateral and upward soil-pipeline interactions in sand for deep embedment conditions.” J. Geotech. Geoenviron. Eng., 830–842.
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© 2014 American Society of Civil Engineers.
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Received: Oct 4, 2013
Accepted: Feb 28, 2014
Published online: May 6, 2014
Discussion open until: Oct 6, 2014
Published in print: Nov 1, 2014
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