TECHNICAL PAPERS
Jul 1, 2008

Modeling of Pipe–Soil Interaction and Its Application in Numerical Simulation

Publication: International Journal of Geomechanics
Volume 8, Issue 4

Abstract

This paper presents three plasticity models that can be applied to numerically simulate pipe–soil interaction. They can be applied individually to evaluate the force–displacement response of a small plane-strain pipe section or in combination to simulate a long pipeline system. In the latter, numerous pipe–soil elements are attached to structural finite elements, each simulating localized foundation restraint along the pipeline. The three models are increasing in sophistication, mainly due to the manner in which they account for the behavior within an allowable combined loading surface. The first is based on traditional strain-hardening plasticity theory and therefore assumes a purely elastic response inside a single expandable yield surface. The second allows some plasticity due to the use of a bounding surface, and the third accounts for kinematic hardening through the introduction of a second smaller surface. The models are detailed in this paper, allowing for simple numerical implementation. Importantly, they are incorporated within the structural analysis of a pipeline and their potential to investigate generic pipeline system behavior is demonstrated. The applicability of the three models is interpreted theoretically and their differences shown through application for (1) a one pipe–soil interaction element and along (2) a 100m segment of pipeline. The latter shows the practical application of these models to offshore pipeline engineering examples, with the influence of a free span behavior investigated. The ability to model complex cyclic loading is also shown.

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Acknowledgments

The UWAPIPE models are based on the Ph.D. thesis of Dr. Jianguo Zhang. His helpful discussions on the implementation of these are much appreciated. The valuable suggestions of Dr. Andrew Brennan (University of Dundee), Professor Mark Randolph (University of Western Australia), and Professor David Muir Wood (University of Bristol) during the course of this research are appreciated.

References

Al-Tabbaa, A., and Muir Wood, D. (1989). “An experimentally based ‘bubble’ model for clay.” Numerical models in geomechanics NUMOG III, S. Pietruszczak and G. N. Pande, eds., Elsevier Applied Science, London, 91–99.
Anfinsen, K. A. (1995). “Review of free spanning pipelines.” Proc., 5th Int. Symp. on Offshore and Polar Engineering (ISOPE), Vol. 2, 129–133.
Bienen, B., and Cassidy, M. J. (2006a). “Advances in the three-dimensional fluid-structure-soil interaction analysis of offshore jack-up structures.” Mar. Struct., 19(2-3), 110–140.
Bienen, B., and Cassidy, M. J. (2006b). “Three-dimensional analysis of jack-up structures.” Adv. Struct. Eng., 9(1), 19–37.
Bijker, R., Staub, C., Silvis, F., and Bruschi, R. (1991). “Scour induced free spans.” Offshore Technology Conference 23, Paper No. 6762.
Brennan, A. J., and Cassidy, M. J. (2005). “Centrifuge tests of on-bottom pipelines on silica sand.” Rep. No. Geo: 05365, Centre for Offshore Foundation Systems, Univ. of Western Australia, Perth, Australia.
Cassidy, M. J., Martin, C. M., and Houlsby, G. T. (2004). “Development and application of force resultant models describing jacking-up foundation behavior.” Mar. Struct., 17(3-4), 165–193.
Cathie, D. N., Jaeck, C., Ballard, J.-C., and Wintgens, J.-F. (2005). “Pipeline geotechnics—State-of-the-art.” Proc., Int. Symp. on the Frontiers in Offshore Geotechnics: ISFOG 2005, Taylor and Francis Group, London, 95–114.
Dafalias, Y. F. (1986). “Bounding surface plasticity. I: Mathematical foundation and hypoplasticity.” J. Eng. Mech., 112(9), 966–987.
Dafalias, Y. F., and Herrmann, L. R. (1980). “A bounding surface soil plasticity model.” Proc., Int. Symp. Soils under Cyclic Transient Loading, 335–345.
Dafalias, Y. F., and Popov, E. P. (1975). “A model of nonlinearly hardening materials for complex loading.” Acta Mech., 21(3), 173–192.
Dafalias, Y. F., and Popov, E. P. (1977). “Cyclic loading for material with a vanishing elastic region.” Nucl. Eng. Des., 41(2), 293–302.
Det Norske Veritas (DNV). (1998). “Free spanning pipelines.” Guidelines—No. 14, Oslo, Norway.
Gajo, A., and Muir Wood, D. (2001). “A new approach to anisotropic, bounding surface plasticity: General formulation and simulations of natural and reconstituted clay behavior.” Int. J. Numer. Analyt. Meth. Geomech., 25(3), 207–241.
Gottardi, G., Houlsby, G. T., and Butterfield, R. (1999). “Plastic response of circular footings on sand under general planar loading.” Geotechnique, 49(4), 453–469.
Hashiguchi, K. (1980). “Constitutive equations of elastoplastic materials with elastic-plastic transition.” J. Appl. Mech., 47(2), 266–272.
Hashiguchi, K. (1988). “A mathematical modification of two surface model formulation in plasticity.” Int. J. Solids Struct., 24(10), 987–1001.
Hashiguchi, K. (1993). “Mechanical requirements and structures of cyclic plasticity models.” Int. J. Plast., 9(6), 721–748.
Kershenbaum, N. Y., and Harrison, G. E. (1995). “Seabed irregularity in subsea pipeline spanning.” Proc., 5th Int. Symp. Offshore and Polar Engineering (ISOPE), Vol. 2, 8–14.
Klomp, W. H. G., Hansen, E. A., Chen, Z., Bijker, R., and Bryndum, M. B. (1995). “Pipeline seabed interaction, free span development.” Int. Symp. Offshore and Polar Engineering (ISOPE), Vol. 2, 117–122.
Krieg, R. D. (1975). “A practical two surface plasticity theory.” J. Appl. Mech., 42(3), 641–646.
Lieng, J. T., Sotberg, T., and Brennodden, H. (1988). “Energy based pipe-soil interaction model.” Rep. No. STF 69-F7024, SINTEF, Norway.
Martin, C. M. (1994). “Physical and numerical modeling of offshore foundations under combined loads.” Ph.D. thesis, Univ. of Oxford, Oxford, U.K.
Moshagen, H., and Kjeldsen, S. P. (1980). “Fishing gear loads and effects on submarine pipelines.” Offshore Technology Conference, Paper No. 3782, Houston.
Mroz, Z. (1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15(3), 163–175.
Mroz, Z., Norris, V. A., and Zienkiewicz, O. C. (1979). “Application of an anisotropic hardening model in the analysis of elastoplastic deformation of soils.” Geotechnique, 29(1), 1–34.
Mroz, Z., Norris, V. A., and Zienkiewicz, O. C. (1981). “An anisotropic, critical state model for soils subject to cyclic loading.” Geotechnique, 31(4), 451–469.
Muir Wood, D. (2004). Geotechnical modeling, Spon, Oxfordshire, U.K.
Nes, H., and Sortland, L. (2001). “Risk-based condition assessment and inspection planning for submarine pipeline systems.” Proc., 11th Int. Symp. Offshore and Polar Engineering (ISOPE), 47–54.
Nyman, K. J. (1984). “Soil response against oblique motion of pipes.” J. Transp. Eng., 110(2), 190–202.
Palmer, A. C., Steenfelt, J. S., Steensen-Bach, J. O., and Jacobsen, V. (1988). “Lateral resistance of marine pipelines on sand.” Offshore Technology Conference, Paper No. 5853. Houston.
Park, H. I., and Kim, C. H. (1997). “Analytical methods for the determination of allowable free span lengths of subsea pipelines.” Proc., 7th Int. Symp. Offshore and Polar Engineering (ISOPE), 337–342.
Rouainia, M., and Muir Wood, D. (2000). “A kinematic hardening constitutive model for natural clays with loss of structure.” Geotechnique, 50(2), 153–164.
Rouainia, M., and Muir Wood, D. (2001). “Implicit numerical integration for a kinematic hardening soil plasticity model.” Int. J. Numer. Analyt. Meth. Geomech., 25(13), 1305–1325.
Sawicki, A., Swidzinski, W., and Zadroga, B. (1998). “Settlement of shallow foundations due to cyclic vertical force.” Soils Found., 38(1), 35–43.
Søreide, T., Paulsen, G., and Nielsen, F. G. (2001). “Parameter study of long free span.” Proc., 11th Int. Symp. Offshore and Polar Engineering (ISOPE), 55–62.
Tan, F. S. C. (1990). “Centrifuge and theoretical modeling of conical footings on sand.” Ph.D. thesis, Cambridge Univ., Cambridge, Mass.
Verley, R., and Lund, K. M. (1995). “Soil resistance model for pipelines placed on clay soils.” 14th Int. Offshore Mechanics and Arctic Engineering (OMAE) Conf., Vol. 5, 225–232.
Verley, R. L. P., and Sotberg, T. (1992). “Soil resistance model for pipelines placed on sandy soils.” Proc., Offshore Mechanics and Arctic Engineering (OMAE), Vol. 5, Part A, Pipeline Technology, 123–131.
Vidich, S. D., Kulhawy, F. H., and Trautmann, C. H. (1998). “Laboratory modeling of inclined-loaded shafts in sand.” Geotech. Test. J., 21(3), 203–212.
Wagner, D. A., Murff, J. D., Brennodden, H., and Sveggen, O. (1987). “Pipe-soil interaction model.” Offshore Technology Conf., 5504.
White, C. S. (1996). “A two surface plasticity model with bounding surface softening.” J. Eng. Mater. Technol., 118(1), 37–42.
Zhang, J. (2000). “Centrifuge modeling of pipeline-soil interaction in calcareous sand.” 4th ANZ Young Geotechnical Professional Conf., A. House and P. Watson, eds., 251–256.
Zhang, J. (2001). “Geotechnical stability of offshore pipelines in calcareous sand.” Ph.D. thesis, Univ. of Western Australia, Perth, Australia.
Zhang, J., Randolph, M. F., and Stewart, D. P. (1999). “Elasto-plastic model for pipe-soil interaction of unburied pipelines.” Proc., 9th Int. Symp. Offshore and Polar Engineering (ISOPE), Vol. 2, 185–192.
Zhang, J., Stewart, D. P., and Randolph, M. F. (2001). “Centrifuge modeling of drained behavior for pipelines shallowly embedded in calcareous sand.” Int. J. Physical Modeling in Geotechnics, 1, 25–39.
Zhang, J., Stewart, D. P., and Randolph, M. F. (2002). “Modeling of shallowly embedded offshore pipelines in calcareous sand.” J. Geotech. Geoenviron. Eng., 128(5), 363–371.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 8Issue 4July 2008
Pages: 213 - 229

History

Received: Jan 17, 2007
Accepted: Nov 21, 2007
Published online: Jul 1, 2008
Published in print: Jul 2008

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Authors

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Yinghui Tian
Research Associate, COFS, Univ. of Western Australia, 35 Stirling Highway, Crawley WA 6009, Australia; formerly, Ph.D. Candidate, School of Civil Engineering, Tianjin Univ., 92 Weijin South Rd., Tianjin, China 300072.
Mark J. Cassidy
Professor, COFS, Univ. of Western Australia, 35 Stirling Highway, Crawley WA 6009, Australia. E-mail: [email protected]

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