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Discretization-based kinematic approach for three-dimensional trench stability under slurry support in multilayered ground

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Abstract

Focus of the existing studies on the stability analysis of slurry-supported trenches is primarily placed on uniform soils, despite the fact that soil stratification is often observed in the field. This paper investigates three-dimensional slurry trench stability in layered cohesive-frictional soils by using the kinematic approach of limit analysis. A discretization-based rigid rotational mechanism is formulated to address this issue and rigorous upper bounds on trench safety factor are obtained by adopting the shear strength reduction technique. The proposed method is verified by comparison with the shear strength reduction finite element method (SSRFEM) on the trench safety factor and the corresponding optimal failure profile. Parametric study is carried out to investigate the influence of slurry parameters and surcharge load on trench stability and the results are presented in the form of stability charts for the convenience of practical use. The applicability of the horizontal slice method (HSM) is also discussed in details by comparison with the present study through a classic reported case and a full-scale field test.

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Data will be made available from the corresponding author upon reasonable request.

References

  1. Chen J, Lei H, Wang J (2014) Numerical analysis of the installation effect of diaphragm walls in saturated soft clay. Acta Geotech 9:981–991. https://doi.org/10.1007/s11440-013-0284-x

    Article  Google Scholar 

  2. Conti R, de Sanctis L, Viggiani GMB (2012) Numerical modelling of installation effects for diaphragm walls in sand. Acta Geotech 7:219–237. https://doi.org/10.1007/s11440-011-0157-0

    Article  Google Scholar 

  3. Fei F, Costa A, Dolbow JE, Settgast RR, Cusini M (2023) A phase-field model for hydraulic fracture nucleation and propagation in porous media. Int J Numer Anal Methods Geomech 26:1–25. https://doi.org/10.1002/nag.3612

    Article  Google Scholar 

  4. Filz GM, Adams T, Davidson RR (2004) Stability of long trenches in sand supported by bentonite-water slurry. J Geotech Geoenviron Eng 130(9):915–921. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:9(915)

    Article  Google Scholar 

  5. Fox PJ (2004) Analytical solutions for stability of slurry trench. J Geotech Geoenviron Eng 130(7):749–758. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:7(749)

    Article  Google Scholar 

  6. Fox PJ (2006) Discussion of “Stability of long trenches in sand supported by bentonite-water slurry” by George M. Filz, Tiffany Adams, and Richard R Davidson. J Geotech Geoenviron Eng 132(5):666. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(666)

    Article  Google Scholar 

  7. Gao Y, Zhang F, Lei G, Li D (2013) An extended limit analysis of three-dimensional slope stability. Géotechnique 63(6):518–524. https://doi.org/10.1680/geot.12.T.004

    Article  Google Scholar 

  8. Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Géotechnique 49(3):387–403. https://doi.org/10.1680/geot.1999.49.3.387

    Article  Google Scholar 

  9. Han C, Chen J, Wang J, Xia X (2013) 2D and 3D stability analysis of slurry trench in frictional/cohesive soil. J Zhejiang Univ Sc A 14(2):94–100. https://doi.org/10.1631/jzus.A1200257

    Article  Google Scholar 

  10. Han C, Wang J, Xia X, Chen J (2015) Limit analysis for local and overall stability of a slurry trench in cohesive soil. Int J Geomech 15(5):06014026. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000268

    Article  Google Scholar 

  11. Huang F, Wang Y, Xu J, Pan Q, Wang D (2022) Three-dimensional stability analysis of slurry trench based on Mohr-Coulomb nonlinear failure criterion. KSCE J Civ Eng 26(12):5038–5048. https://doi.org/10.1007/s12205-022-2091-0

    Article  Google Scholar 

  12. Keawsawasvong S, Shiau J (2021) Instability of boreholes with slurry. Int J Geosynth Ground Eng 7:81. https://doi.org/10.1007/s40891-021-00326-2

    Article  Google Scholar 

  13. L’Amante D, Flora A, Russo G, Viggiani C (2012) Displacements induced by the installation of diaphragm panels. Acta Geotech 7:203–218. https://doi.org/10.1007/s11440-012-0164-9

    Article  Google Scholar 

  14. Li Y, Pan Q, Chen Y (2013) Stability of slurry trenches with inclined ground surface. J Geotech Geoenviron Eng 139(9):1617–1619. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000868

    Article  Google Scholar 

  15. Li Y, Pan Q, Cleall P, Chen Y, Ke H (2013) Stability analysis of slurry trenches in similar layered soils. J Geotech Geoenviron Eng 139(12):2104–2109. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000958

    Article  Google Scholar 

  16. Li AJ, Merifield RS, Lin HD, Lyamin AV (2014) Trench stability under bentonite pressure in purely cohesive clay. Int J Geomech 14(1):151–167. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000292

    Article  Google Scholar 

  17. Li T, Gong W, Tang H, Zhang L (2022) A meshed kinematical approach for 3D slope stability analysis. Int J Numer Anal Methods Geomech 46:2913–2930. https://doi.org/10.1002/nag.3433

    Article  Google Scholar 

  18. Lim A, Ou CY, Hsieh PG (2020) A novel strut-free retaining wall system for deep excavation in soft clay: numerical study. Acta Geotech 15:1557–1576. https://doi.org/10.1007/s11440-019-00851-5

    Article  Google Scholar 

  19. Lin Y, Fang Y, He C (2023) Investigations of filter-clog mechanism and prediction model of slurry penetration during slurry pressure transfer. Acta Geotech. https://doi.org/10.1007/s11440-023-01880-x

    Article  Google Scholar 

  20. Liu W, Shi P, Cai G, Gan P (2022) A three-dimensional mechanism for global stability of slurry trench in frictional soils. Eur J Environ Civ Eng 26(2):594–619. https://doi.org/10.1080/19648189.2019.1667876

    Article  Google Scholar 

  21. Mollon G, Dias D, Soubra A (2011) Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield. Int J Numer Anal Meth Geomech 35(12):1363–1388. https://doi.org/10.1002/nag.962

    Article  Google Scholar 

  22. Morgenstern N, Amir-Tahmasseb I (1965) The stability of a slurry trench in cohesionless soils. Géotechnique 15(4):387–395. https://doi.org/10.1680/geot.1965.15.4.387

    Article  Google Scholar 

  23. Nash KL, Jones GK (1963) The support of trenches using fluid mud. In Proceedings of grouts and drilling muds in engineering practice. Butterworths, London, pp. 177–180.

  24. Oblozinsky P, Ugai K, Katagiri M, Saitoh K, Ishii T, Masuda T, Kuwabara K (2001) A design method for slurry trench wall stability in sandy ground based on the elastoplastic FEM. Comput Geotech 28(2):145–159. https://doi.org/10.1016/S0266-352X(00)00028-8

    Article  Google Scholar 

  25. Qin C (2019) Determination of slurry density required for stability of slurry-supported trenches excavated in partially submerged soils. Comput Geotech 116:103212. https://doi.org/10.1016/j.compgeo.2019.103212

    Article  Google Scholar 

  26. Qin C, Zhou J (2023) On the seismic stability of soil slopes containing dual weak layers: true failure load assessment by finite-element limit-analysis. Acta Geotech 18:3153–3175. https://doi.org/10.1007/s11440-022-01730-2

    Article  Google Scholar 

  27. Sun Z, Zhao Y, Hu Y, Dias D, Ji J (2023) Probabilistic analysis of width-limited 3D slope in spatially variable soils: UBLA enhanced with efficiency-improved discretization of horn-like failure mechanism. Int J Numer Anal Methods Geomech 36:1–29. https://doi.org/10.1002/nag.3615

    Article  Google Scholar 

  28. Tan T, Huang M, Shi Z (2022) Analytical three-dimensional mechanism for stability of slurry trenches in cohesive soils. Int J Geomech 22(2):04021274. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002263

    Article  Google Scholar 

  29. Tsai JS, Chang JC (1996) Three-dimensional stability analysis for slurry-filled trench wall in cohesionless soil. Can Geotech J 33(5):798–808. https://doi.org/10.1139/t96-105-325

    Article  MathSciNet  Google Scholar 

  30. Tsai JS, Jou LD, Hsieh HS (2000) A full-scale stability experiment on a diaphragm wall trench. Can Geotech J 37(2):379–392. https://doi.org/10.1139/t99-122

    Article  Google Scholar 

  31. Wang H, Huang M (2020) Upper bound stability analysis of slurry-supported trenches in layered soils. Comput Geotech 122:103554. https://doi.org/10.1016/j.compgeo.2020.103554

    Article  Google Scholar 

  32. Wang H, Huang M, Chian SC (2021) Three-dimensional trench stability in non-uniform undrained clay with discretization-based kinematic analysis. Comput Geotech 135:104166. https://doi.org/10.1016/j.compgeo.2021.104166

    Article  Google Scholar 

  33. Wang L, Zhang X, Tinti S (2021) Large deformation dynamic analysis of progressive failure in layered clayey slopes under seismic loading using the particle finite element method. Acta Geotech 16:2435–2448. https://doi.org/10.1007/s11440-021-01142-8

    Article  Google Scholar 

  34. Yeh TY, Ou CY, Lim A (2022) A case study of strut-free excavation retaining system. Acta Geotech 17:5557–5571. https://doi.org/10.1007/s11440-022-01526-4

    Article  Google Scholar 

  35. Zhang F, Gao Y, Leshchinsky D, Zhu D, Lei G (2016) Three-dimensional stability of slurry-supported trenches: end effects. Comput Geotech 74:174–187. https://doi.org/10.1016/j.compgeo.2016.01.009

    Article  Google Scholar 

  36. Zhang J, Gao Y, Zhang F, Wan Y, Liu M (2018) Influence of anisotropy and nonhomogeneity on stability analysis of slurry-support trenches. Int J Geomech 18(5):04018028. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001151

    Article  Google Scholar 

  37. Zhang J, Li M, Yi J, Liu Z (2022) Determination of stabilizing forces acting on piles to reinforce slurry trench against globe collapse. Int J Geomech 22(6):06022009. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002387

    Article  Google Scholar 

  38. Zhao H, Liu W, Shi P, Du J, Chen X (2021) Spatiotemporal deep learning approach on estimation of diaphragm wall deformation induced by excavation. Acta Geotech 16(11):3631–3645. https://doi.org/10.1007/s11440-021-01264-z

    Article  Google Scholar 

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Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (Grant No. 51738010) and the National Key R&D Program of China (Grant No. 2016YFC0800202). These sources of support are acknowledged. The first author is also grateful for the financial support from China Scholarship Council (CSC) (Grant No. 201906260156) to conduct part of this study at the National University of Singapore.

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Authors and Affiliations

  1. College of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    Hongyu Wang

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

    Maosong Huang & Yihui Liu

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

    Maosong Huang & Yihui Liu

  4. Department of Civil and Environmental Engineering, National University of Singapore, Singapore, 117576, Singapore

    Siau Chen Chian

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  1. Hongyu Wang
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Correspondence to Maosong Huang.

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Wang, H., Huang, M., Liu, Y. et al. Discretization-based kinematic approach for three-dimensional trench stability under slurry support in multilayered ground. Acta Geotech. 18, 6395–6412 (2023). https://doi.org/10.1007/s11440-023-02099-6

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  • DOI: https://doi.org/10.1007/s11440-023-02099-6

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