Skip to main content
Log in

Seismic settlement of a strip foundation resting on a dry sand

  • Original Paper
  • Published:
Natural Hazards Aims and scope Submit manuscript

Abstract

Seismic settlement of shallow foundations constructed in seismic active areas should be considered for a reasonable estimation of the total settlement. However, the trend of the seismic settlement of shallow foundation constructed on a sandy soil is not clearly understood and it is estimated by designer using simple analytical methods. These methods do not consider the effect of the soil–structure interaction. This research, therefore, reports the results of 105 robust finite element models developed to investigate the seismic settlement of a shallow foundation constructed on a dry sand. The influence of the load applied on the foundation, relative density of sand, foundation embedment, peak ground acceleration of the earthquake shake, thickness of the sandy soil, and the dominant frequency of the earthquake shake have been examined to provide a comprehensive understanding of the parameters influencing the seismic settlement. The results of the analyses showed that increasing the load applied on the foundation or the peak ground acceleration remarkably increases the seismic settlement, while increasing the embedment depth remarkably reduces the seismic settlement. In addition, the relationship between the thickness of the sandy layer and the seismic settlement is found to be very complex and noticeably influenced by the relative density of the sand. More importantly, it was found that the seismic settlement dramatically increases when the dominant frequency of the earthquake approaches the natural frequency of the system. Thus, all these parameters are important and should be considered by designers for a reasonable estimation of the seismic settlement. The conclusions drawn from this paper will aid the development of a good analytical method in future, and the results reported in this paper also provide useful and novel database to designers and practitioners.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  • Abuhajar O, El Naggar H, Newson T (2015a) Seismic soil–culvert interaction. Can Geotech J 52(11):1649–1667

    Google Scholar 

  • Abuhajar O, El Naggar H, Newson T (2015b) Experimental and numerical investigations of the effect of buried box culverts on earthquake excitation. Soil Dyn Earthq Eng 79:130–148

    Google Scholar 

  • Acharyya R, Dey A (2018) Assessment of failure mechanism of a strip footing on horizontal ground considering flow rules. Innov Infrastruct Solut 3(1):49

    Google Scholar 

  • Ahmadi H, Eslami A, Mahyar A (2017) Mitigating the seismic settlement of foundations on sand by ground improvement techniques. Proc Inst Civ Eng Ground Improv 170(2):72–80

    Google Scholar 

  • Al-Defae AH, Caucis K, Knappett JA (2013) Aftershocks and the whole-life seismic performance of granular slopes. Géotechnique 63(14):1230–1244

    Google Scholar 

  • Alzabeebee SI (2014) Dynamic response of shallow foundation on elastic–plastic clayey soil subjected to impact load. In: The proceeding of the 1st international conference on engineering, Al-Mustansiriya University, Iraq, pp 155–165

  • Alzabeebee S (2017) Enhanced design approached for rigid and flexible buried pipes using advanced numerical modelling. Ph.D. Thesis, The University of Birmingham, UK

  • Alzabeebee S (2019a) Response of buried uPVC pipes subjected to earthquake shake. Innov Infrastruct Solut 4(1):52

    Google Scholar 

  • Alzabeebee S (2019b) Seismic response and design of buried concrete pipes subjected to soil loads. Tunn Undergr Sp Technol 93:103084

    Google Scholar 

  • Alzabeebee S (2020a) Dynamic response and design of a skirted strip foundation subjected to vertical vibration. Geomech Eng 20(4):345–358

    Google Scholar 

  • Alzabeebee S (2020b) Numerical analysis of the interference of two active machine foundations. Geotech Geol Eng. https://doi.org/10.1007/s10706-020-01347-w

    Article  Google Scholar 

  • Alzabeebee S, Chapman D, Jefferson I, Faramarzi A (2017) The response of buried pipes to UK standard traffic loading. Proc Inst Civ Eng Geotech Eng 170(1):38–50

    Google Scholar 

  • Alzabeebee S, Chapman DN, Faramarzi A (2018a) A comparative study of the response of buried pipes under static and moving loads. Transp Geotech 15:39–46

    Google Scholar 

  • Alzabeebee S, Chapman DN, Faramarzi A (2018b) Development of a novel model to estimate bedding factors to ensure the economic and robust design of rigid pipes under soil loads. Tunn Undergr Sp Technol 71:567–578

    Google Scholar 

  • Alzabeebee S, Chapman DN, Faramarzi A (2018c) Innovative approach to determine the minimum wall thickness of flexible buried pipes. Geomech Eng 15(2):755–767

    Google Scholar 

  • Amorosi A, Boldini D, Falcone G (2014) Numerical prediction of tunnel performance during centrifuge dynamic tests. Acta Geotech 9(4):581–596

    Google Scholar 

  • Amorosi A, Boldini D, Lernia A (2017) Dynamic soil–structure interaction: a three-dimensional numerical approach and its application to the Lotung case study. Comput Geotechn. 90:34–54

    Google Scholar 

  • Azzam WR (2015) Finite element analysis of skirted foundation adjacent to sand slope under earthquake loading. HBRC J 11(2):231–239

    Google Scholar 

  • Azzam W, Ayeldeen M, El Siragy M (2018) Improving the structural stability during earthquakes using in-filled trench with EPS geofoam-numerical study. Arab J Geosci 11:395

    Google Scholar 

  • Bakr JA (2018) Displacement-based approach for seismic stability of retaining structures. Ph.D. thesis, The University of Manchester, UK

  • Bakr J, Ahmad SM (2018) A finite element performance-based approach to correlate movement of a rigid retaining wall with seismic earth pressure. Soil Dyn Earthq Eng 114:460–479

    Google Scholar 

  • Bakr J, Ahmad SM, Lombardi D (2019) Finite-element study for seismic structural and global stability of cantilever-type retaining walls. Int J Geomech 19(10):04019117

    Google Scholar 

  • Benmebarek S, Saifi I, Benmebarek N (2017) Depth factors for undrained bearing capacity of circular footing by numerical approach. J. Rock Mech Geotech Eng 9(4):761–766

    Google Scholar 

  • Benz T (2007) Small-strain stiffness of soils and its numerical consequences. Ph.D. Thesis, University of Stuttgart, Germany

  • Benz T, Schwab R, Vermeer P (2009) Small-strain stiffness in geotechnical analyses. Bautechnik 86(S1):16–27

    Google Scholar 

  • Bowles LE (1996) Foundation analysis and design. McGraw-Hill, New York

    Google Scholar 

  • Brinkgreve RBJ, Broere W, Waterman D (2006) Plaxis, Finite element code for soil and rock analyses users manual, The Netherlands

  • Brinkgreve RBJ, Kappert MH, Bonnier PG (2007) Hysteretic damping in a small-strain stiffness model. In: Proceeding of numerical models in geomechanics, NUMOG X, Rhodes, pp 737–742

  • Brinkgreve RBJ, Engin E, Engin HK (2010) Validation of empirical formulas to derive model parameters for sands. In: Benz T, Nordal S (eds) Numerical methods in geotechnical engineering. CRC Press, Rotterdam, pp 137–142

    Google Scholar 

  • Chaloulos YK, Giannakou A, Drosos V, Tasiopoulou P, Chacko J, De Wit S (2019) Liquefaction-induced settlements of residential buildings subjected to induced earthquakes. Soil Dyn Earthq Eng 129:105880

    Google Scholar 

  • Chavda JT, Dodagoudar GR (2018) Finite element evaluation of ultimate capacity of strip footing: assessment using various constitutive models and sensitivity analysis. Innov Infrastruct Solut 3(1):15

    Google Scholar 

  • Dimitriadi VE, Bouckovalas GD, Papadimitriou AG (2017) Seismic performance of strip foundations on liquefiable soils with a permeable crust. Soil Dyn Earthq Eng 100:396–409

    Google Scholar 

  • Dimitriadi VE, Bouckovalas GD, Chaloulos YK, Aggelis AS (2018) Seismic liquefaction performance of strip foundations: effect of ground improvement dimensions. Soil Dyn Earthq Eng 106:298–307

    Google Scholar 

  • Fabozzi S, Bilotta E (2016) Behaviour of a segmental tunnel lining under seismic actions. Procedia Eng 158:230–235

    Google Scholar 

  • Far H (2019) Dynamic behaviour of unbraced steel frames resting on soft ground. Steel Constr 12(2):135–140

    Google Scholar 

  • Fatahi B, Huang B, Yeganeh N, Terzaghi S, Banerjee S (2019) Three-dimensional simulation of seismic slope–foundation–structure interaction for buildings near shallow slopes. Int J Geomech 20(1):04019140

    Google Scholar 

  • Fattah M, Al-Neami M, Jajjawi N (2014) Prediction of liquefaction potential and pore water pressure beneath machine foundations. Open Eng 4(3):226–249

    Google Scholar 

  • Fattah MY, Hamoo MJ, Dawood SH (2015a) Dynamic response of a lined tunnel with transmitting boundaries. Earthq Struct 8(1):275–304

    Google Scholar 

  • Fattah MY, Salim NM, Al-Shammary WT (2015b) Effect of embedment depth on response of machine foundation on saturated sand. Arab J Sci Eng 40(11):3075–3098

    Google Scholar 

  • Forcellini D (2018) Seismic assessment of a benchmark based isolated ordinary building with soil structure interaction. Bull Earthq Eng 16(5):2021–2042

    Google Scholar 

  • Forcellini D (2019) Numerical simulations of liquefaction on an ordinary building during Italian (20 May 2012) earthquake. Bull Earthq Eng 17(9):4797–4823

    Google Scholar 

  • Gazetas G (1982) Vibrational characteristics of soil deposits with variable wave velocity. Int J Numer Anal Methods Geomech 6(1):1–20

    Google Scholar 

  • Ghalesari AT, Tabari MK, Choobbasti AJ, Shirvani NE (2019) Behavior of eccentrically loaded shallow foundations resting on composite soils. J Build Eng 22:220–230

    Google Scholar 

  • Ghayoomi M, Dashti S (2015) Effect of ground motion characteristics on seismic soil–foundation–structure interaction. Earthq Spectra 31(3):1789–1812

    Google Scholar 

  • Ghosh P (2011) Seismic interference effect of two nearby square footings. In: Geo-frontiers 2011: advances in geotechnical engineering, ASCE, Texas, USA, pp 352–361

  • Ghosh P, Kumar R (2017) Seismic interaction of two closely spaced horizontal square and rectangular ground anchors in layered soil. Int J Geotech Eng 11(1):80–89

    Google Scholar 

  • Griffiths DV (1982) Computation of bearing capacity factors using finite elements. Géotechnique 32(3):195–202

    Google Scholar 

  • Hakhamaneshi M, Kutter BL (2016) Effect of footing shape and embedment on the settlement, recentering, and energy dissipation of shallow footings subjected to rocking. J Geotech Geoenviron Eng 142(12):04016070

    Google Scholar 

  • Hardin B, Drnevich V (1972) Shear modulus and damping in soils: design equations and curves. J Soil Mech Found Div 98(sm7):667–692

    Google Scholar 

  • Kampas G, Knappett JA, Brown MJ, Anastasopoulos I, Nikitas N, Fuentes R (2019) The effect of tunnel lining modelling approaches on the seismic response of sprayed concrete tunnels in coarse-grained soils. Soil Dyn Earthq Eng 117:122–137

    Google Scholar 

  • Kampas G, Knappett JA, Brown MJ, Anastasopoulos I, Nikitas N, Fuentes R (2020) Implications of volume loss on the seismic response of tunnels in coarse-grained soils. Tunn Undergr Sp Technol 95:103127

    Google Scholar 

  • Karamitros DK, Bouckovalas GD, Chaloulos YK (2013a) Seismic settlements of shallow foundations on liquefiable soil with a clay crust. Soil Dyn Earthq Eng 46:64–76

    Google Scholar 

  • Karamitros DK, Bouckovalas GD, Chaloulos YK (2013b) Insight into the seismic liquefaction performance of shallow foundations. J Geotech Geoenviron Eng 139(4):599–607

    Google Scholar 

  • Karamitros DK, Bouckovalas GD, Chaloulos YK, Andrianopoulos KI (2013c) Numerical analysis of liquefaction-induced bearing capacity degradation of shallow foundations on a two-layered soil profile. Soil Dyn Earthq Eng 44:90–101

    Google Scholar 

  • Kholdebarin A, Massumi A, Davoodi M, Tabatabaiefar HR (2008) Comparing of normal stress distribution in static and dynamic soil–structure interaction analyses. In: AIP conference proceedings, pp 650–657

  • Kholdebarin A, Massumi A, Davoodi M (2016) Seismic bearing capacity of shallow footings on cement-improved soils. Earthq Struct 10(1):179–190

    Google Scholar 

  • Kim DK, Lee SH, Kim DS, Choo YW, Park HG (2015) Rocking effect of a mat foundation on the earthquake response of structures. J Geotech Geoenviron Eng 141(1):04014085

    Google Scholar 

  • Knappett JA, Madden P, Caucis K (2015) Seismic structure–soil–structure interaction between pairs of adjacent building structures. Géotechnique 65(5):429–441

    Google Scholar 

  • Ko KW, Ha JG, Park HJ, Kim DS (2018) Comparison between cyclic and dynamic rocking behavior for embedded shallow foundation using centrifuge tests. Bull Earthq Eng 16(11):5171–5193

    Google Scholar 

  • Kramer SL (1996) Geotechnical earthquake engineering. Prentice-Hall international series in civil engineering and engineering mechanics. Prentice-Hall, New Jersey

    Google Scholar 

  • Kumar MR, Ghosh P (2020) A novel vibration screening technique using bamboo: a numerical study. J Nat Fibers 17(2):258–270

    Google Scholar 

  • Kumar R, Mohanty S, Chethan K (2019) 3D seismic response analysis of shallow foundation resting on sandy soil. Int J Geotech Earthq Eng (IJGEE) 10(1):61–76

    Google Scholar 

  • Liang T, Knappett JA, Duckett N (2015) Modelling the seismic performance of rooted slopes from individual root–soil interaction to global slope behaviour. Géotechnique 65(12):995–1009

    Google Scholar 

  • Liang T, Knappett JA, Leung AK, Bengough AG (2019) Modelling the seismic performance of root-reinforced slopes using the finite element method. Géotechnique (in press)

  • Lysmer J, Kuhlemeyer RL (1969) Finite dynamic model for infinite media. J Eng Mech Div 95(4):859–878

    Google Scholar 

  • Majumder M, Ghosh P, Rajesh S (2017) Numerical study on intermittent geofoam in-filled trench as vibration barrier considering soil non-linearity and circular dynamic source. Int J Geotech Eng 11(3):278–288

    Google Scholar 

  • Mansour MF, Abdel-Motaal MA, Ali AM (2016) Seismic bearing capacity of shallow foundations on partially liquefiable saturated sand. Int J Geotech Eng 10(2):123–134

    Google Scholar 

  • Mbawala SJ, Heymann G, Roth CP, Heyns PS (2017) The effect of embedment on a foundation subjected to vertical vibration—a field study. J S Afr Inst Civ Eng 59(4):26–33

    Google Scholar 

  • Meena NK, Nimbalkar S (2019) Effect of water drawdown and dynamic loads on piled raft: two-dimensional finite element approach. Infrastructures 4(4):75

    Google Scholar 

  • Nasiri F, Javdanian H, Heidari A (2020) Seismic response analysis of embankment dams under decomposed earthquakes. Geomech Eng 21(1):35–51

    Google Scholar 

  • Nguyen VQ, Merifield RS (2012) Two-and three-dimensional undrained bearing capacity of embedded footings. Aust Geomech 47(2):25

    Google Scholar 

  • Nguyen QV, Fatahi B, Hokmabadi AS (2016) The effects of foundation size on the seismic performance of buildings considering the soil–foundation–structure interaction. Struct Eng Mech 58(6):1045–1075

    Google Scholar 

  • Pradel D (1998) Procedure to evaluate earthquake-induced settlements in dry sandy soils. J Geotech Geoenviron Eng 124(4):364–368

    Google Scholar 

  • Roesset JM (1977) Soil amplification of earthquakes. In: Desai CS, Christian JT (eds) Numerical methods in geotechnical engineering. McGraw-Hill, New York

    Google Scholar 

  • Saikia A (2014) Numerical study on screening of surface waves using a pair of softer backfilled trenches. Soil Dyn Earthq Eng 65:206–213

    Google Scholar 

  • Schanz T, Vermeer PA, Bonnier PG (1999) The hardening soil model: formulation and verification. Beyond 2000 in computational geotechnics. CRC Press, Rotterdam, Netherlands, pp 281–296

  • Sharma K, Deng L (2019) Field testing of rocking foundations in cohesive soil: cyclic performance and footing mechanical response. Can Geotech J. https://doi.org/10.1139/cgj-2018-0734

    Article  Google Scholar 

  • Singh M, Viladkar MN, Samadhiya NK (2017) Seismic response of metro underground tunnels. Int J Geotech Eng 11(2):175–185

    Google Scholar 

  • Terzaghi K (1943) Theoretical soil mechanics. Wiley

  • Tokimatsu K, Seed HB (1987) Evaluation of settlements in sands due to earthquake shaking. J Geotech Eng 113(8):861–878

    Google Scholar 

  • Tsinidis G (2018) Response of urban single and twin circular tunnels subjected to transversal ground seismic shaking. Tunn Undergr Sp Technol 76:177–193

    Google Scholar 

  • Tsinidis G, Pitilakis K, Madabhushi G (2016) On the dynamic response of square tunnels in sand. Eng Struct 125:419–437

    Google Scholar 

  • Ueng TS, Wu CW, Cheng HW, Chen CH (2010) Settlements of saturated clean sand deposits in shaking table tests. Soil Dyn Earthq Eng 30(1–2):50–60

    Google Scholar 

  • Vivek P (2011) Static and dynamic interference of strip footings in layered soil. M.Tech Thesis, Indian Institute of Technology Kanpur, India

  • Xu R, Fatahi B (2019) Novel application of geosynthetics to reduce residual drifts of mid-rise buildings after earthquakes. Soil Dyn Earthq Eng 116:331–344

    Google Scholar 

  • Zhang J, Chen Y (2018) Experimental study on mitigations of seismic settlement and tilting of structures by adopting improved soil slab and soil mixing walls. Sustainability 10(11):4069

    Google Scholar 

  • Zhang L, Liu Y (2018) Seismic responses of rectangular subway tunnels in a clayey ground. PLoS ONE 13(10):0204672

    Google Scholar 

  • Zhang L, Liu Y (2020) Numerical investigations on the seismic response of a subway tunnel embedded in spatially random clays. Undergr Sp 5(1):43–52

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Saif Alzabeebee.

Ethics declarations

Conflict of interest

The author declares no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alzabeebee, S. Seismic settlement of a strip foundation resting on a dry sand. Nat Hazards 103, 2395–2425 (2020). https://doi.org/10.1007/s11069-020-04090-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-020-04090-w

Keywords

Navigation