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Numerical analyses of fault–foundation interaction

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Abstract

Field evidence from recent earthquakes has shown that structures can be designed to survive major surface dislocations. This paper: (i) Describes three different finite element (FE) methods of analysis, that were developed to simulate dip slip fault rupture propagation through soil and its interaction with foundation–structure systems; (ii) Validates the developed FE methodologies against centrifuge model tests that were conducted at the University of Dundee, Scotland; and (iii) Utilises one of these analysis methods to conduct a short parametric study on the interaction of idealised 2- and 5-story residential structures lying on slab foundations subjected to normal fault rupture. The comparison between numerical and centrifuge model test results shows that reliable predictions can be achieved with reasonably sophisticated constitutive soil models that take account of soil softening after failure. A prerequisite is an adequately refined FE mesh, combined with interface elements with tension cut-off between the soil and the structure. The results of the parametric study reveal that the increase of the surcharge load q of the structure leads to larger fault rupture diversion and “smoothing” of the settlement profile, allowing reduction of its stressing. Soil compliance is shown to be beneficial to the stressing of a structure. For a given soil depth H and imposed dislocation h, the rotation Δθ of the structure is shown to be a function of: (a) its location relative to the fault rupture; (b) the surcharge load q; and (c) soil compliance.

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References

  • ABAQUS Inc. (2004) ABAQUS V.6.4 user’s manual. Providence, Rhode Island, USA

  • Anastasopoulos I (2005) Fault rupture–soil–foundation–structure interaction. Ph.D. Dissertation, School of Civil Engineering, National Technical University, Athens, 570 pp

  • Anastasopoulos I, Gazetas G (2007a) Foundation-structure systems over a rupturing normal fault: part I. Observations after the Kocaeli 1999 earthquake. Bull Earthq Eng 5(3): 253–275

    Google Scholar 

  • Anastasopoulos I, Gazetas G (2007b) Behaviour of structure–foundation systems over a rupturing normal fault: part II. Analysis of the Kocaeli case histories. Bull Earthq Eng 5(3): 277–301

    Article  Google Scholar 

  • Anastasopoulos I, Gazetas G, Bransby MF, Davies MCR, El Nahas A (2007) Fault rupture propagation through sand: finite element analysis and validation through centrifuge experiments. J Geotech Geoenviron Eng ASCE 133(8): 943–958

    Article  Google Scholar 

  • Anastasopoulos I, Gazetas G, Bransby MF, Davies MCR, El Nahas A (2008) Normal fault rupture interaction with strip foundations. J Geotech Geoenviron Eng ASCE 134 (in print)

  • Berill JB (1983) Two-dimensional analysis of the effect of fault rupture on buildings with shallow foundations. Soil Dyn Earthq Eng 2(3): 156–160

    Article  Google Scholar 

  • Bransby MF, Davies MCR, El Nahas A (2008a) Centrifuge modelling of normal fault-foundation interaction. Bull Earthq Eng, special issue: Integrated approach to fault rupture- and soil-foundation interaction. doi:10.1007/s10518-008-9079-0

  • Bransby MF, Davies MCR, El Nahas A (2008b) Centrifuge modelling of reverse fault-foundation interaction. Bull Earthq Eng, special issue: Integrated approach to fault rupture- and soil-foundation interaction. doi:10.1007/s10518-008-9080-7

  • Bray JD (1990) The effects of tectonic movements on stresses and deformations in earth embankments. Ph.D. Dissertation, University of California, Berkeley

  • Bray JD (2001) Developing mitigation measures for the hazards associated with earthquake surface fault rupture. In: Workshop on seismic fault-induced failures—possible remedies for damage to urban facilities. University of Tokyo Press, pp 55–79

  • Bray JD, Seed RB, Cluff LS, Seed HB (1994a) Earthquake fault rupture propagation through soil. J Geotech Eng ASCE 120(3): 543–561

    Article  Google Scholar 

  • Bray JD, Seed RB, Seed HB (1994b) Analysis of earthquake fault rupture propagation through cohesive soil. J Geotech Eng ASCE 120(3): 562–580

    Article  Google Scholar 

  • Cole DA Jr., Lade PV (1984) Influence zones in alluvium over dip-slip faults. J Geotech Eng ASCE 110(5): 599–615

    Google Scholar 

  • Duncan JM, Lefebvre G (1973) Earth pressure on structures due to fault movement. J Soil Mech Found Eng ASCE 99: 1153–1163

    Google Scholar 

  • Erdik M (2001) Report on 1999 Kocaeli and Düzce (Turkey) earthquakes. In: Casciati F, Magonette G (eds) Structural control for civil and infrastructure engineering. World Scientific

  • Erickson SG, Staryer LM, Suppe J (2001) Initiation and reactivation of faults during movement over a thrust-fault ramp: numerical mechanical models. J Struct Geol 23: 11–23

    Article  Google Scholar 

  • Faccioli E, Anastasopoulos I, Gazetas G, Callerio A, Paolucci R (2008) Fault rupture-foundation interaction: selected case histories. Bull Earthq Eng, special issue: Integrated approach to fault rupture- and soilfoundation interaction doi:10.1007/s10518-008-9089-y

  • Gaudin C (2002) Experimental and theoretical study of the behaviour of supporting walls: validation of design methods. Ph.D. Dissertation, Laboratoire Central des Ponts et Chaussées, Nantes, France

  • Gerolymos N, Vardoulakis I, Gazetas G (2007) A Thermo-poro–viscoplastic shear band model for seismic triggering and evolution of catastrophic landslides. Soils Found 47(1): 11–25

    Google Scholar 

  • Griffiths DV, Prévost JH (1990) Stress strain curve generation from simple triaxial parameters. Int J Numer Anal Methods Geomech 14(8): 587–594

    Article  Google Scholar 

  • Hayashi H, Honda M, Yamada T, Tatsuoka F (1992) Modeling of nonlinear stress strain relations of sands for dynamic response analysis. In: Proceedings, 10th WCEE, Madrid, Spain, vol 11, pp 6819–6825

  • Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech Trans ASME 34(E3): 612–617

    Google Scholar 

  • Jewell RA, Roth CP (1987) Direct shear tests on reinforced sand. Géotechnique 37(1): 53–68

    Google Scholar 

  • Lade PV (1987) Behaviour and plasticity theory for metals and frictional materials. In: Proceedings 2nd international conference on constitutive laws for engineering materials, Tuscon, Arizona, pp 327–334

  • Lade PV, Cole DA Jr., Cummings D (1984) Multiple failure surfaces over dip-slip faults. J Geotech Eng ASCE 110(5): 616–627

    Article  Google Scholar 

  • Loukidis D (1999) Active fault propagation through soil. Diploma Thesis, School of Civil Engineering, National Technical University, Athens

  • Loukidis D, Bouckovalas G (2001) Numerical simulation of active fault rupture propagation through dry soil. In: Proceedings 4th international conference on recent advances in geotechnical earthquake engineering and soil dynamics and symposium in honor of Professor W.D. Liam Finn, San Diego, CA, March, pp 26–31

  • Mróz A (1967) On the description of anisotropic work hardening. J Mech Phys Solids 15: 163–175

    Article  Google Scholar 

  • Muir Wood D (2002) Some observations of volumetric instabilities in soils. Int J Solids Struct 39: 3429–3449

    Article  Google Scholar 

  • Muir Wood D, Stone KJL (1994) Some observations of zones of localisation in model tests on dry sand. In: Chambon R, Desrues J, Vardoulakis I(eds) Localisation and bifurcation theory for soils and rocks. A.A. Balkema, Rotterdam, pp 155–164

    Google Scholar 

  • Niccum MR, Cluff LS, Chamoro F, Wylie L (1976) Banco Central de Nicaragua: a case history of a high-rise building that survived surface fault rupture. In: Humphrey CB (ed) Engineering geology and soils engineering symposium, no. 14. Idaho Transportation Department, Division of Highways, pp 133–144

  • Pamuk A, Kalkanb E, Linga HI (2005) Structural and geotechnical impacts of surface rupture on highway structures during recent earthquakes in Turkey. Soil Dyn Earthq Eng 25: 581–589

    Article  Google Scholar 

  • PLAXIS (2006) Finite element code for soil and rock analyses, users manual, by R.B.J. Brinkgreve, Rotterdam, Balkema, 2002

  • Popescu R (1995) Stochastic variability of soil properties: data analysis, digital simulation, effects on system behavior. Ph.D. Thesis, Princeton University

  • Popescu R, Prevost JH (1995) Comparison between VELACS numerical “Class A” predictions and centrifuge experimental soil test results. Int J Soil Dyn Earthq Eng 14: 76–92

    Google Scholar 

  • Potts DM, Dounias GT, Vaughan PR (1990) Finite element analysis of progressive failure of Carsington Embankment. Géotechnique 40(1): 79–101

    Google Scholar 

  • Potts DM, Kovacevic N, Vaughan PR (1997) Delayed collapse of cut slopes in stiff clay. Géotechnique 47(5): 953–982

    Article  Google Scholar 

  • Prevost JH (1977) Mathematical modeling of monotonic and cyclic undrained clay behavior. Int J Numer Methods Geomech 1(2): 195–216

    Article  Google Scholar 

  • Prevost JH (1981) DYNAFLOW: a nonlinear transient finite element analysis program. Technical report, Department of Civil Engineering and Operations Research, Princeton University

  • Prevost JH (1985) A simple plasticity theory for frictional cohesionless soils. Soil Dyn Earthq Eng 4: 9–17

    Article  Google Scholar 

  • Prevost JH (1989) DYNA1D a computer program for nonlinear seismic site response analysis. Technical Documentation NCEER-89-0025. Technical report, Department of Civil Engineering and Operations Research, Princeton University

  • Prevost JH (1993) Nonlinear dynamic response analysis of soil and soil-structure interacting systems. In: Proceedings seminar on soil dynamics and geotechnical earthquake engineering, Lisboa, Portugal, Balkema, Rotterdam, pp 49–126

  • Roth WH, Scott RF, Austin I (1981) Centrifuge modelling of fault propagation through alluvial soils. Geophys Res Lett 8(6): 561–564

    Article  Google Scholar 

  • Roth WH, Sweet J, Goodman RE (1982) Numerical and physical modelling of flexural Slip phenomena and potential for fault movement. Rock Mech 12: 27–46 (Suppl.)

    Google Scholar 

  • Shibuya S, Mitachi T, Tamate S (1997) Interpretation of direct shear box testing of sands as quasi-simple shear. Géotechnique 47(4): 769–790

    Article  Google Scholar 

  • Stone KJL, Muir Wood D (1992) Effects of dilatancy and particle size observed in model tests on sand. Soils Found 32(4): 43–57

    Google Scholar 

  • Ulusay R, Aydan O, Hamada M (2002) The behaviour of structures built on active fault zones: examples from the recent earthquakes of Turkey. Struct Eng Earthq Eng JSCE 19(2): 149–167

    Article  Google Scholar 

  • Ural D (2001) The 1999 Kocaeli and Duzce earthquakes: lessons learned and possible remedies to minimize future Losses. In: Konagai K (ed) Proceedings workshop on seismic Fault induced failures, Tokyo, Japan

  • White DJ, Take WA, Bolton MD (2003) Soil deformation measurement using particle image velocimetry (PIV) and photogrammetry. Géotechnique 53(7): 619–631

    Article  Google Scholar 

  • Youd TL (1989) Ground failure damage to buildings during earthquakes. In: Foundation engineering—current principles and practices, New York: ASCE 1:758–770

  • Youd TL, Bardet J-P, Bray JD (2000) Kocaeli, Turkey, earthquake of August 17, 1999 Reconnaissance Report, Earthquake Spectra, Suppl. A to vol 16, 456 pp

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Authors and Affiliations

  1. National Technical University, Athens, Greece

    I. Anastasopoulos & G. Gazetas

  2. Studio Geotecnico Italiano, Milan, Italy

    A. Callerio, E. Faccioli, A. Masella & R. Paolucci

  3. University of Auckland, Auckland, New Zealand

    M. F. Bransby

  4. University of Dundee, Dundee, UK

    M. C. R. Davies & A. El Nahas

  5. Geodynamique et Structure, Paris, France

    A. Pecker & E. Rossignol

Authors
  1. I. Anastasopoulos
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  2. A. Callerio
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  3. M. F. Bransby
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  4. M. C. R. Davies
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  5. A. El Nahas
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  6. E. Faccioli
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  7. G. Gazetas
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  8. A. Masella
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  9. R. Paolucci
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  10. A. Pecker
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  11. E. Rossignol
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Correspondence to I. Anastasopoulos.

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Anastasopoulos, I., Callerio, A., Bransby, M.F. et al. Numerical analyses of fault–foundation interaction. Bull Earthquake Eng 6, 645–675 (2008). https://doi.org/10.1007/s10518-008-9078-1

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  • DOI: https://doi.org/10.1007/s10518-008-9078-1

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