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Constitutive modeling of cyclically loaded clays with entrapped gas bubbles under undrained and unexhausted conditions

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Abstract

Fine-grained gassy marine sediments are widely distributed around the world, and the cyclic behavior of this type of sediments has a great influence on the foundations of offshore structures. However, in previous investigations, constitutive models for repeated loading have been mainly focused on saturated soils, while existing constitutive relationships for gassy clays have been developed primarily for monotonic loading. In this study, a constitutive model is proposed for cyclically loaded clays with entrapped gas bubbles under undrained and unexhausted conditions. This soil model extends the bounding surface model of Huang et al. for fine-grained saturated soils (Huang et al. in Comput Geotech 38:341–353, 2011) and considers the gas effects via including soil volume change due to the compression of gas and a pore pressure-dependent plastic modulus. By comparing against test data, it is shown that the proposed model can reasonably represent the response of fine-grained gassy soils during undrained cyclic loading. In particular, the model can well replicate the beneficial and detrimental effects of gas depending on pore pressure levels. Under low pore pressure, the presence of gas suppresses pore pressure accumulation and promotes cyclic shakedown, while under high pore pressure gas bubbles accelerate the accumulation of pore pressure and promote cyclic ratcheting. The influence of soil structure on the cyclic responses of gassy clays is investigated, which shows that the presence of soil structure can promote the accumulations of excess pore pressure of gassy clays and turn cyclic shakedown into ratcheting.

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Anandarajah A, Kuganenthira N, Zhao D (1996) Variation of fabric anisotropy of Kaolinite in triaxial loading. J Geotech Eng 122(8):633–640

    Article  Google Scholar 

  2. Barden L (1965) Consolidation of compacted and unsaturated clays. Géotechnique 15(3):267–286

    Article  Google Scholar 

  3. Baudet B, Stallebrass S (2004) A constitutive model for structured clays. Géotechnique 54(4):269–278

    Article  Google Scholar 

  4. Burland JB (1990) On the compressibility and shear strength of natural clays. Géotechnique 40(3):329–378

    Article  Google Scholar 

  5. Cecconi M, DeSimone A, Tamagnini C, Viggiani GMB (2002) A constitutive model for granular materials with grain crushing and its application to a pyroclastic soil. Int J Numer Anal Methods Geomech 26(15):1531–1560

    Article  MATH  Google Scholar 

  6. Chen RP, Zhu S, Hong PY, Cheng W, Cui YJ (2019) A two-surface plasticity model for cyclic behavior of saturated clay. Acta Geotech 14(2):279–293

    Article  Google Scholar 

  7. Chen SP, Sun JZ, Shen CB, Ye Y (2004) Reservoir formation condition of shallow gas in the area of the Hangzhou Bay. Mar Geol Quat Geol 24(2):85–88 ((in Chinese))

    Google Scholar 

  8. Dafalias YF (1986) Bounding surface plasticity. I: mathematical foundation and hypoplasticity. J Eng Mech 112(9):966–987

    Google Scholar 

  9. Esrig MI, Kirby RC (1977) Implications of gas content for predicting stability of submarine slopes. Mar Geotechnol 2:81–100

    Article  Google Scholar 

  10. Finno RJ, Zhang Y, Buscarnera G (2017) Experimental validation of Terzaghi’s effective stress principle for gassy sand. J Geotech Geoenviron Eng 143(12):04017092

    Article  Google Scholar 

  11. Floodgate GD, Judd AG (1992) The origins of shallow gas. Cont Shelf Res 12(10):1145–1156

    Article  Google Scholar 

  12. Fredlund DG (1976) Density and compressibility characteristics of air-water mixtures. Can Geotech J 13(4):386–396

    Article  Google Scholar 

  13. Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New York

    Book  Google Scholar 

  14. Gao ZW, Hong Y, Wang LZ (2020) Constitutive modelling of fine-grained gassy soil: a composite approach. Int J Numer Anal Methods Geomech 44(9):1350–1368

    Article  Google Scholar 

  15. Grozic JLH, Nadim F, Kvalstad TJ (2005) On the undrained shear strength of gassy clays. Comput Geotech 32(7):483–490

    Article  Google Scholar 

  16. Hight DW, Hamza MM, El Sayed AS (2002) Engineering characterization of the Nile Delta clays. In: Nakase A, Tsuchida T (eds) Coastal geotechnical engineering in practice. Swets & Zeitlinger, Lisse, pp 149–162

    Google Scholar 

  17. Holocher J, Peeters F, Aeschbach-Hertig W, Kinzelbach W, Kipfer R (2003) Kinetic model of gas bubble dissolution in groundwater and its implications for the dissolved gas composition. Environ Sci Technol 37(7):1337–1343

    Article  Google Scholar 

  18. Hong Y, Chen XY, Wang LZ, Yang B, Sanchez M (2021) Distinct undrained cyclic behavior of fine-grained gassy soil at various initial pore water pressures. J Geotech Geoenviron Eng 147(2):06020027

    Article  Google Scholar 

  19. Hong Y, Wang LZ, Ng CWW, Yang B (2017) Effect of initial pore pressure on undrained shear behaviour of fine-grained gassy soil. Can Geotech J 54(11):1592–1600

    Article  Google Scholar 

  20. Hong Y, Wang LZ, Zhang JF, Gao ZW (2020) 3D elastoplastic model for fine-grained gassy soil considering the gas-dependent yield surface shape and stress-dilatancy. J Eng Mech 146(5):04020037

    Google Scholar 

  21. Hong Y, Zhang JF, Wang LZ, Liu T (2019) On evolving size and shape of gas bubble in marine clay under multi-stage loadings: microcomputed tomography (μCT) characterization and cavity contraction analysis. Can Geotech J 57(7):1072–1091

    Article  Google Scholar 

  22. Huang MS, Liu YH, Sheng DC (2011) Simulation of yielding and stress-strain behavior of shanghai soft clay. Comput Geotech 38(3):341–353

    Article  Google Scholar 

  23. Jones GB, Floodgate GD, Bennell JD (1986) Chemical and microbiological aspects of acoustically turbid sediments: preliminary investigations. Mar Geotechnol 6(3):315–332

    Article  Google Scholar 

  24. Kobayashi I, Soga K, Iizuka A, Ohta H (2003) Numerical interpretation of a shape of yield surface obtained from stress probe tests. Soils Found 43(3):95–103

    Article  Google Scholar 

  25. Li T, Meissner H (2002) Two-surface plasticity model for cyclic undrained behavior of clays. J Geotech Geoenviron Eng 128(7):613–626

    Article  Google Scholar 

  26. Mahmoodi B, Gallant AP (2021) Assessing persistence of entrapped gas for induced partial saturation. J Geotech Geoenviron Eng 147(3):04020184

    Article  Google Scholar 

  27. Mahmoodi B, Gallant AP, Mason B (2022) Influence of air entrainment and gas kinetics on liquefaction triggering during tsunami loading. Géotechnique. https://doi.org/10.1680/jgeot.21.00047

    Article  Google Scholar 

  28. Marinelli F, Buscarnera G (2018) Instability criteria for quasi-saturated viscous soils. Int J Numer Anal Methods Geomech 42(3):379–400

    Article  Google Scholar 

  29. Mróz Z, Norris VA, Zienkiewicz OC (1981) An anisotropic, critical state model for soils subject to cyclic loading. Géotechnique 31(4):451–469

    Article  Google Scholar 

  30. Nageswaran S (1983) Effect of gas bubbles on the sea bed behaviour. Dissertation, the University of Oxford

  31. Ng CWW, Zhan LT, Cui YJ (2002) A new simple system for measuring volume changes in unsaturated soils. Can Geotech J 39(3):757–764

    Article  Google Scholar 

  32. Okamura M, Soga Y (2006) Effects of pore fluid compressibility on liquefaction resistance of partially saturated sand. Soils Found 46(5):695–700

    Article  Google Scholar 

  33. Pietruszczak S, Pande GN (1996) Constitutive relations for partially saturated soils containing gas inclusions. J Geotech Eng 123(1):50–59

    Article  Google Scholar 

  34. Rocchi G, Fontana M, Da Prat M (2003) Modelling of natural soft clay destruction processes using viscoplasticity theory. Géotechnique 53(8):729–745

    Article  Google Scholar 

  35. Rouainia M, Muir Wood D (2000) A kinematic hardening constitutive model for natural clays with loss of structure. Géotechnique 50(2):153–164

    Article  Google Scholar 

  36. Seidalinov G, Taiebat M (2014) Bounding surface SANICLAY plasticity model for cyclic clay behavior. Int J Numer Anal Methods Geomech 38(7):702–724

    Article  Google Scholar 

  37. Shi ZH, Finno RJ, Buscarnera G (2018) A hybrid plastic flow rule for cyclically loaded clay. Comput Geotech 101:65–79

    Article  Google Scholar 

  38. Shi ZH, Tong SJ, Huang MS (2021) Evaluation of instability of quasi-saturated sand with entrapped gas due to decreasing total confining stress. Eng Geol 293:106296

    Article  Google Scholar 

  39. Sills GC, Wheeler SJ, Thomas SD, Gardner TN (1991) Behaviour of offshore soils containing gas bubbles. Géotechnique 41(2):227–241

    Article  Google Scholar 

  40. Sultan N, De Gennaro V, Puech A (2012) Mechanical behaviour of gas-charged marine plastic sediments. Géotechnique 65(9):751–766

    Article  Google Scholar 

  41. Sultan N, Garziglia S (2014) Mechanical behaviour of gas-charged fine sediments: model formulation and calibration. Géotechnique 64(11):851–864

    Article  Google Scholar 

  42. Wang JH, Yao ML (1996) Elastoplastic simulation of the cyclic undrained behaviour of soft clays. Chin J Geotech Eng 18(3):11–18 ((in Chinese))

    Google Scholar 

  43. Wheeler SJ (1988) A conceptual model for soils containing large gas bubbles. Géotechnique 38(3):389–397

    Article  Google Scholar 

  44. Wheeler SJ (1988) The undrained shear strength of soils containing large gas bubbles. Géotechnique 38(3):399–413

    Article  Google Scholar 

  45. Wheeler SJ, Sham WK, Thomas SD (1990) Gas pressure in unsaturated offshore soils. Can Geotech J 27(1):79–89

    Article  Google Scholar 

  46. Whittle AJ, Kavvadas MJ (1994) Formulation of MIT-E3 constitutive model for overconsolidated clays. J Geotech Eng 120(1):173–198

    Article  Google Scholar 

  47. Xu HF, **e KH (2011) Effective stress in soils under different saturation conditions. J Cent South Univ Technol 18(6):2137–2142

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge financial support from the National Natural Science Foundation of China (Nos. 11972260 and 41902278).

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Authors and Affiliations

  1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, 200092, China

    Maosong Huang, Shihuan Zou & Zhenhao Shi

  2. Department of Geotechnical Engineering, Tongji University, Shanghai, 200092, China

    Maosong Huang, Shihuan Zou & Zhenhao Shi

  3. Key Laboratory of Offshore Geotechnics and Material of Zhejiang Province, Zhejiang University, Hangzhou, 310058, Zhejiang, China

    Yi Hong

  4. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 310058, Zhejiang, China

    Yi Hong

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  1. Maosong Huang
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  2. Shihuan Zou
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Correspondence to Zhenhao Shi.

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Huang, M., Zou, S., Shi, Z. et al. Constitutive modeling of cyclically loaded clays with entrapped gas bubbles under undrained and unexhausted conditions. Acta Geotech. 18, 265–278 (2023). https://doi.org/10.1007/s11440-022-01581-x

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