DOI QR코드

DOI QR Code

On validation of fully coupled behavior of porous media using centrifuge test results

  • Tasiopoulou, Panagiota (National Technical University of Athens) ;
  • Taiebat, Mahdi (Department of Civil Engineering, The University of British Columbia) ;
  • Tafazzoli, Nima (Tetra Tech EBA) ;
  • Jeremic, Boris (Department of Civil and Environmental Engineering, University of California / Earth Science Division, Lawrence Berkeley National Laboratory)
  • Received : 2014.05.17
  • Accepted : 2014.11.27
  • Published : 2015.03.25

Abstract

Modeling and simulation of mechanical response of infrastructure object, solids and structures, relies on the use of computational models to foretell the state of a physical system under conditions for which such computational model has not been validated. Verification and Validation (V&V) procedures are the primary means of assessing accuracy, building confidence and credibility in modeling and computational simulations of behavior of those infrastructure objects. Validation is the process of determining a degree to which a model is an accurate representation of the real world from the perspective of the intended uses of the model. It is mainly a physics issue and provides evidence that the correct model is solved (Oberkampf et al. 2002). Our primary interest is in modeling and simulating behavior of porous particulate media that is fully saturated with pore fluid, including cyclic mobility and liquefaction. Fully saturated soils undergoing dynamic shaking fall in this category. Verification modeling and simulation of fully saturated porous soils is addressed in more detail by (Tasiopoulou et al. 2014), and in this paper we address validation. A set of centrifuge experiments is used for this purpose. Discussion is provided assessing the effects of scaling laws on centrifuge experiments and their influence on the validation. Available validation test are reviewed in view of first and second order phenomena and their importance to validation. For example, dynamics behavior of the system, following the dynamic time, and dissipation of the pore fluid pressures, following diffusion time, are not happening in the same time scale and those discrepancies are discussed. Laboratory tests, performed on soil that is used in centrifuge experiments, were used to calibrate material models that are then used in a validation process. Number of physical and numerical examples are used for validation and to illustrate presented discussion. In particular, it is shown that for the most part, numerical prediction of behavior, using laboratory test data to calibrate soil material model, prior to centrifuge experiments, can be validated using scaled tests. There are, of course, discrepancies, sources of which are analyzed and discussed.

Keywords

References

  1. Alshibli. K. and Sture, S. (2000), "Shear band formation in plane strain experiments of sand", J. Geotech. Geoenviron., 126(6), 495-503. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:6(495)
  2. Argyris, J. and Mlejnek, H.P. (1991), Dynamics of Structures, North Holland in USA Elsevier.
  3. Arulanandan, J. and Scott, R.F. (Eds) (1993), Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, A.A. Balkema.
  4. Arulmoli, K., Muraleetharan, K.K., Hossain, M.M. and Fruth, L.S. (1992), Velacs: Verification of liquefaction analyses by centrifuge studies - laboratory testing program, Technical report, Earth Technology Corporation.
  5. Babuska, I. and Oden, J.T. (2004), "Verification and validation in computational engineering and science: basic concepts", Comput. Meth. Appl. Mech. Eng., 193(36-38), 4057-4066. https://doi.org/10.1016/j.cma.2004.03.002
  6. Bielak, I., Graves, R.W., Olsen, K.B., Taborda, R., Ramirez-Guzman, R., Day, S.M., Ely, G.P., Roten, D., Jordan, T.H., Maechling, P.J., Urbanic, J., Cui, Y. and Juve, G. (2010), "The shakeout earthquake scenario: Verification of three simulation sets.", Geophys. J. Int., 180(1), 375-404. https://doi.org/10.1111/j.1365-246X.2009.04417.x
  7. Dafalias, Y.F. and Manzari, M.T. (2004), "Simple plasticity sand model accounting for fabric change effects", J. Eng. Mech. - ASCE, 130(6), 622-634. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(622)
  8. Dafalias, Y.F., Papadimitriou, A.G. and Li, X.S. (2004), "Sand plasticity model accounting for inherent fabric anisotropy", J. Eng. Mech. - ASCE, 130(11), 1319-1333. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:11(1319)
  9. Elgamal, A., Yang, Z. and Parra, E. (2002), "Computational modeling of cyclic mobility and post-liquefaction site response", Soil Dyn. Earthq. Eng., 22, 259-271. https://doi.org/10.1016/S0267-7261(02)00022-2
  10. Heisenberg, W. (1927), "Uber den anschaulichen inhalt der quantentheoretischen kinematik und mechanic", Zeitschrift fur Physik, 43, 172-198 (English translatation: J.A. Wheeler and H. Zurek, Quantum Theory and Measurement, Princeton Univ. Press, 1983, pp. 62-84). https://doi.org/10.1007/BF01397280
  11. Jeremic, B., Cheng, Z., Taiebat, M. and Dafalias, Y.F. (2008), "Numerical simulation of fully saturated porous materials", Int. J. Numer. Anal. Method. Geomech., 32(13), 1635-1660. https://doi.org/10.1002/nag.687
  12. Kulasingam, R., Malvick, E.J., Boulanger, R.W. and Kutter, B.L. (2004), "Strength loss and localization at silt interlayers in slopes of liquefied sand", J. Geotech. Geoenviron., 130(11), 1192-1202. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:11(1192)
  13. Manzari, M.T. and Dafalias, Y.F. (1997), "A critical state two-surface plasticity model for sands", Geotechnique, 47(2), 255-272. https://doi.org/10.1680/geot.1997.47.2.255
  14. Mroz, Z. (1988), "On proper selection of identification and verification tests", (Eds., A. Saada and G. Bianchini), Constitutive Equations for Granular Non-Cohesive Soils, A. A. Balkema.
  15. Oberkampf, W.L., and Roy, C. J. (2010), Verification and Validation in Scientific Computing, Cambridge University Press, ISBN 978-0-521-11360-1.
  16. Oberkampf, W.L., Trucano, T.G. and Hirsch, C. (2002),"Verification, validation and predictive capability in computational engineering and physics", Proceedings of the Foundations for Verification and Validation on the 21st Century Workshop, pages 1-74, Laurel, Maryland, October 22-23, Johns Hopkins University / Applied Physics Laboratory.
  17. Oden, J.T., Babuska, I., Nobile, F., Feng, Y. and Tempone, R. (2005), "Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty", Comput. Method. Appl. M., 194(2-5), 195-204. https://doi.org/10.1016/j.cma.2003.06.003
  18. Oden, T., Moser, R. and Ghattas, O. (2010a), "Computer predictions with quantified uncertainty, part I", SIAM News, 43(9).
  19. Oden, T., Moser, R. and Ghattas, O. (2010b), "Computer predictions with quantified uncertainty, part ii", SIAM News, 43(10).
  20. Roache, P.J. (1998), Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, New Mexico, ISBN 0-913478-08-3.
  21. Roy, C.J. and Oberkampf, W.L. (2011), "A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing", Comput. Method. Appl. M., 200 (25-28), 2131-2144. https://doi.org/10.1016/j.cma.2011.03.016
  22. Shahir, A., Pak, A., Taiebat, M. and Jeremic, B. (2012), "Evaluation of variation of permeability in liquefiable soil under earthquake loading", Comput. Geotechnics, 40, 74-88. https://doi.org/10.1016/j.compgeo.2011.10.003
  23. Taiebat, M, and Dafalias, Y.F. (2008), "SANISAND: simple anisotropic sand plasticity model", Int. J. Numer. Anal. Method. Geomech., 32(8), 915-948. https://doi.org/10.1002/nag.651
  24. Taboada, M. and Dobry, R. (1993), "Experimental results of model no. 1 at RPI", Verification of numerical procedures for the analysis of soil liquefaction problems, pages 3-18, Rotterdam: AA Balkema.
  25. Taiebat, M., Shahir, H. and Pak, A. (2007), "Study of pore pressure variation during liquefaction using two constitutive models for sand", Soil Dyn. Earthq. Eng., 27, 60-72. https://doi.org/10.1016/j.soildyn.2006.03.004
  26. Taiebat, M., Jeremic, B., Dafalias, Y.F., Kaynia, A.M. and Cheng, Z. (2010), "Propagation of seismic waves through liquefied soils", Soil Dyn. Earthq. Eng., 30(4), 236-257. https://doi.org/10.1016/j.soildyn.2009.11.003
  27. Tasiopoulou, P., Taiebat, M., Tafazzoli, N. and Jeremic, B. (2014), "Solution verification procedures for modeling and simulation of fully coupled porous media: Static and dynamic behavior", Coupled Syst. Mech., In Print.
  28. Wood, D.M. (2004), Geotechnical Modeling, Spoon Press, ISBN 0-415-34304.
  29. Zienkiewicz, O.C. and Shiomi, T. (1984), "Dynamic behaviour of saturated porous media; the generalized Biot formulation and its numerical solution", Int. J. Numer. Anal. Method. Geomech., 8, 71-96. https://doi.org/10.1002/nag.1610080106
  30. Zienkiewicz, O.C., Huang, M. and Pastor, M. (1994), "Numerical modelling of soil liquefaction and similar phenomena in earthquake engineering: State of the art", (Eds., K. Arulanandan and R.F. Scott), Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, volume 2.

Cited by

  1. On the Validation of a Numerical Model for the Analysis of Soil-Structure Interaction Problems vol.13, pp.8, 2016, https://doi.org/10.1590/1679-78252450
  2. Discretization effects in the finite element simulation of seismic waves in elastic and elastic-plastic media vol.33, pp.3, 2017, https://doi.org/10.1007/s00366-016-0488-4
  3. Numerical evaluation of dynamic levee performance due to induced seismicity pp.1573-1456, 2018, https://doi.org/10.1007/s10518-018-0426-5
  4. OCR evaluation of cohesionless soil in centrifuge model using shear wave velocity vol.15, pp.4, 2018, https://doi.org/10.12989/gae.2018.15.4.987
  5. Settlement prediction for footings based on stress history from VS measurements vol.20, pp.5, 2020, https://doi.org/10.12989/gae.2020.20.5.371
  6. Influence of Motion Energy and Soil Characteristics on Seismic Ground Response of Layered Soil vol.18, pp.7, 2015, https://doi.org/10.1007/s40999-020-00496-6