Technical Papers
Apr 12, 2023

A New Calculation Method for Life Cycle Settlement of Soft Ground with Creep Treated by Columns

Publication: International Journal of Geomechanics
Volume 23, Issue 6

Abstract

For soft soils, creep settlement plays an important role in the full life cycle performance of infrastructures, which is a serious concern for engineers and researchers. Columns such as deep cement mixed (DCM) soil columns are commonly adopted to treat soft grounds in order to reduce the life cycle settlement of the infrastructures. However, the creep behavior of soft grounds treated by DCM soil columns is often ignored, inducing underestimated total settlements or unexpected differential settlements. In this study, a new calculation method is developed for the life cycle settlement of column-improved soft grounds by considering the creep of soft soils and load transfer between the columns and the surrounding soils. A physical model test with double-layer soil improved by DCM soil columns is designed and performed to demonstrate the feasibility of the calculation method. It is found that the settlements calculated by the proposed method show good agreement with the measured data in the physical model. A parametric study is conducted, revealing that the calculated settlement of the double-layer soil improved by DCM columns can be largely influenced by the stress concentration ratio, the permeability of the DCM columns, and the area replacement ratio. Finally, the proposed method is applied to calculate the settlement in a real project.

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Data Availability Statement

All data that support the findings of this study are available from the corresponding author upon reasonable request.
We are thankful for the financial support provided by National Natural Science Foundation of China (52278356); National Natural Science Foundation of China (51878619, 52078465); Shenzhen Science and Technology Innovation Commission (JCYJ20210324105210028); and Natural Science Foundation of Guangdong Province, China (2022A1515010118). This work was also supported by the General Research Fund (GRF) (PolyU 152179/18E, PolyU 152130/19E, PolyU 15210020); a Research Impact Fund (R5037-18); a Theme-based Research Scheme project T22-502/18-R from the Research Grants Council of Hong Kong Special Administrative Region Government of China; and Grants (CD82 and CD7A) from the Research Institute of Land and Space, The Hong Kong Polytechnic University, China.

References

Adachi, T., and F. Oka. 1982. “Constitutive equations for normally consolidated clay based on elasto-viscoplasticity.” Soils Found. 22 (4): 57–70. https://doi.org/10.3208/sandf1972.22.4_57.
Balaam, N. P., and J. R. Booker. 1981. “Analysis of rigid rafts supported by granular piles.” Int. J. Numer. Anal. Methods Geomech. 5 (4): 379–403. https://doi.org/10.1002/nag.1610050405.
Barron, R. A. 1948. “Consolidation of fine-grained soils by drain wells by drain wells.” Trans. Am. Soc. Civ. Eng. 113 (1): 718–742. https://doi.org/10.1061/TACEAT.0006098.
Baumann, V., and G. E. A. Bauer. 1974. “The performance of foundations on various soils stabilized by the vibro-compaction method.” Can. Geotech. J. 11 (4): 509–530. https://doi.org/10.1139/t74-056.
Bjerrum, L. 1967. “Engineering geology of Norwegian normally-consolidated marine clays as related to settlements of buildings.” Geotechnique 17 (2): 83–118. https://doi.org/10.1680/geot.1967.17.2.83.
Chai, J. C., N. Miura, T. Kirekawa, and T. Hino. 2010. “Settlement prediction for soft ground improved by columns.” Proc. Inst. Civ. Eng. Ground Improv. 163 (2): 109–119. https://doi.org/10.1680/grim.2010.163.2.109.
Chai, J. C., S. Shrestha, T. Hino, W. Q. Ding, Y. Kamo, and J. Carter. 2015. “2D and 3D analyses of an embankment on clay improved by soil–cement columns.” Comput. Geotech. 68: 28–37. https://doi.org/10.1016/j.compgeo.2015.03.014.
Chen, R. P., Y. M. Chen, J. Han, and Z. Z. Xu. 2008. “A theoretical solution for pile-supported embankments on soft soils under one-dimensional compression.” Can. Geotech. J. 45 (5): 611–623. https://doi.org/10.1139/T08-003.
Chen, Z. J., W. Q. Feng, and J. H. Yin. 2021. “A new simplified method for calculating short-term and long-term consolidation settlements of multi-layered soils considering creep limit.” Comput. Geotech. 138: 104324. https://doi.org/10.1016/j.compgeo.2021.104324.
Degago, S. A., G. Grimstad, H. P. Jostad, and S. Nordal. 2013. “Misconceptions about experimental substantiation of creep hypothesis A.” In Proc., 18th Int. Conf. on Soil Mechanics and Geotechnical Engineering, 215–218. Paris: Presses des Ponts.
Fang, Z., and J. H. Yin. 2007. “Responses of excess pore water pressure in soft marine clay around a soil–cement column.” Int. J. Geomech. 7 (3): 167–175. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:3(167).
Feng, W. Q., D. Y. Tan, J. H. Yin, J. Q. Qin, and W. B. Chen. 2020a. “Experimental and numerical studies on the performances of stone column and sand compaction pile–reinforced Hong Kong marine clay.” Int. J. Geomech. 20 (8): 06020018. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001739.
Feng, W. Q., and J. H. Yin. 2017. “A new simplified hypothesis B method for calculating consolidation settlements of double soil layers exhibiting creep.” Int. J. Numer. Anal. Methods Geomech. 41 (6): 899–917. https://doi.org/10.1002/nag.2635.
Feng, W. Q., and J. H. Yin. 2018. “A new simplified hypothesis B method for calculating the consolidation settlement of ground improved by vertical drains.” Int. J. Numer. Anal. Methods Geomech. 42 (2): 295–311. https://doi.org/10.1002/nag.2743.
Feng, W. Q., J. H. Yin, W. B. Chen, D. Y. Tan, and P. C. Wu. 2020b. “A new simplified method for calculating consolidation settlement of multi-layer soft soils with creep under multi-stage ramp loading.” Eng. Geol. 264: 105322. https://doi.org/10.1016/j.enggeo.2019.105322.
Feng, W. Q., J. H. Yin, W. B. Chen, and P. C. Wu. 2021. “Development and performance of new simplified method for soft soil with creep under multi-staged loading.” Mar. Georesour. Geotechnol. 39 (4): 431–447. https://doi.org/10.1080/1064119X.2019.1711472.
Garlanger, J. E. 1972. “The consolidation of soils exhibiting creep under constant effective stress.” Geotechnique 22 (1): 71–78. https://doi.org/10.1680/geot.1972.22.1.71.
Han, J., and S. L. Ye. 2001. “Simplified method for consolidation rate of stone column reinforced foundations.” J. Geotech. Geoenviron. Eng. 127 (7): 597–603. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:7(597).
Han, J., and S. L. Ye. 2002. “A theoretical solution for consolidation rates of stone column-reinforced foundations accounting for smear and well resistance effects.” Int. J. Geomech. 2 (2): 135–151. https://doi.org/10.1061/(ASCE)1532-3641(2002)2:2(135).
Hansbo, S. 1979. “Consolidation of clay by bandshaped prefabricated drains.” Ground Eng. 12 (5): 16–25.
Ho, T. O., D. C. Tsang, W. B. Chen, and J. H. Yin. 2020. “Evaluating the environmental impact of contaminated sediment column stabilized by deep cement mixing.” Chemosphere 261: 127755. https://doi.org/10.1016/j.chemosphere.2020.127755.
Horpibulsuk, S., A. Chinkulkijniwat, A. Cholphatsorn, J. Suebsuk, and M. D. Liu. 2012. “Consolidation behavior of soil–cement column improved ground.” Comput. Geotech. 43: 37–50. https://doi.org/10.1016/j.compgeo.2012.02.003.
Hou, C., L. Han, and X. Zhao. 2013. “Concrete-filled circular steel tubes subjected to local bearing force: Experiments.” J. Constr. Steel Res. 83: 90–104. https://doi.org/10.1016/j.jcsr.2013.01.008.
Huang, J., and J. Han. 2009. “3D coupled mechanical and hydraulic modeling of a geosynthetic-reinforced deep mixed column-supported embankment.” Geotext. Geomembr. 27 (4): 272–280. https://doi.org/10.1016/j.geotexmem.2009.01.001.
Liu, S., D. Zhang, T. Song, G. Zhang, and L. Fan. 2022. “A method of settlement calculation of ground improved by floating deep mixed columns based on laboratory model tests and finite element analysis.” Int. J. Civ. Eng. 20 (2): 207–222. https://doi.org/10.1007/s40999-021-00662-4.
Long, R. P., and A. Covo. 1994. “Equivalent diameter of vertical drains with an oblong cross section.” J. Geotech. Eng. 120 (9): 1625–1630. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:9(1625).
Lu, M., D. Li, H. Jing, and Y. Deng. 2019. “Analytical solution for consolidation of band-shaped drain based on an equivalent annular drain.” Int. J. Geomech. 19 (6): 04019043. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001423.
Madhav, M., K. Suresh, and E. Peter. 2010. “Effect of creep on settlement of granular pile reinforced ground.” Int. J. Geotech. Eng. 4 (4): 495–505. https://doi.org/10.3328/IJGE.2010.04.04.495-505.
Mesri, G. R. E. S., E. Febres-Cordero, D. Shields, and A. Castro. 1981. “Shear stress-strain-time behaviour of clays.” Geotechnique 31 (4): 537–552. https://doi.org/10.1680/geot.1981.31.4.537.
Pongsivasathit, S., J. Chai, and W. Ding. 2013. “Consolidation settlement of floating-column-improved soft clayey deposit.” Proc. Inst. Civ. Eng. Ground Improv. 166 (1): 44–58. https://doi.org/10.1680/grim.11.00028.
Qin, J. Q., W. Q. Feng, P. C. Wu, and J. H. Yin. 2020. “Fabrication and performance evaluation of a novel FBG-based effective stress cell for directly measuring effective stress in saturated soils.” Measurement 155: 107491. https://doi.org/10.1016/j.measurement.2020.107491.
Sexton, B. G., B. A. McCabe, M. Karstunen, and N. Sivasithamparam. 2016. “Stone column settlement performance in structured anisotropic clays: The influence of creep.” J. Rock Mech. Geotech. Eng. 8 (5): 672–688. https://doi.org/10.1016/j.jrmge.2016.05.004.
Sexton, B. G., V. Sivakumar, and B. A. McCabe. 2017. “Creep improvement factors for vibro-replacement design.” Proc. Inst. Civ. Eng. Ground Improv. 170 (1): 35–56. https://doi.org/10.1680/jgrim.16.00029.
Shahu, J. T., M. R. Madhav, and S. Hayashi. 2000. “Analysis of soft ground-granular pile-granular mat system.” Comput. Geotech. 27 (1): 45–62. https://doi.org/10.1016/S0266-352X(00)00004-5.
Shepheard, C. J., and M. G. Williamson. 2018. “Thoughts on a simple means of estimating settlement in thick soil layers in accordance with hypothesis B.” In Proc., Int. Congress and Exhibition Sustainable Civil Infrastructures: Innovative Infrastructure Geotechnology, 54–63. Cham, Switzerland: Springer.
Sivakumar, V., M. C. Moorhead, S. Donohue, C. J. Serridge, S. Tripathy, J. Mckinley, and C. Doherty. 2021. “The initial, primary and secondary consolidation response of soft clay reinforced with a granular column under isolated loading.” Géotechnique 71 (6): 467–479. https://doi.org/10.1680/jgeot.17.P.178.
Sloan, J., G. M. Filz, and J. Collin. 2011. “A generalized formulation of the adapted terzaghi method of arching in column-supported embankments.” In Geo-Frontiers 2011: Advances in Geotechnical Engineering, Geotechnical Special Publication 211, edited by J. Han and D. E. Alzamora, 798–805. Reston, VA: ASCE.
Terzaghi, K. 1943. Theoretical Soil Mechanics, 11–53. New York: John Wiley & Sons.
Walker, R., and B. Indraratna. 2009. “Consolidation analysis of a stratified soil with vertical and horizontal drainage using the spectral method.” Géotechnique 59 (5): 439–449. https://doi.org/10.1680/geot.2007.00019.
Walker, R., B. Indraratna, and N. Sivakugan. 2009. “Vertical and radial consolidation analysis of multilayered soil using the spectral method.” J. Geotech. Geoenviron. Eng. 135 (5): 657–663. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000075.
Wu, P. C., W. Q. Feng, and J. H. Yin. 2020. “Numerical study of creep effects on settlements and load transfer mechanisms of soft soil improved by deep cement mixed soil columns under embankment load.” Geotext. Geomembr. 48 (3): 331–348. https://doi.org/10.1016/j.geotexmem.2019.12.005.
Wu, P. C., J. H. Yin, W. Q. Feng, and W. B. Chen. 2019. “Experimental study on geosynthetic-reinforced sand fill over marine clay with or without deep cement mixed soil columns under different loadings.” Underground Space 4 (4): 340–347. https://doi.org/10.1016/j.undsp.2019.03.001.
Yapage, N. N. S., D. S. Liyanapathirana, R. B. Kelly, H. G. Poulos, and C. J. Leo. 2014. “Numerical modeling of an embankment over soft ground improved with deep cement mixed columns: Case history.” J. Geotech. Geoenviron. Eng. 140 (11): 04014062. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001165.
Yin, J. H. 2011. “From constitutive modeling to development of laboratory testing and optical fiber sensor monitoring technologies.” Chin. J. Geotech. Eng. 33 (1): 1–15.
Yin, J. H. 2015. “Fundamental issues of elastic viscoplastic modeling of the time-dependent stress–strain behavior of geomaterials.” Int. J. Geomech. 15 (5): A4015002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000485.
Yin, J. H., Z. J. Chen, and W. Q. Feng. 2022. “A general simple method for calculating consolidation settlements of layered clayey soils with vertical drains under staged loadings.” Acta Geotech. 17: 3647–3674.
Yin, J. H., and Z. Fang. 2006. “Physical modelling of consolidation behaviour of a composite foundation consisting of a cement-mixed soil column and untreated soft marine clay.” Geotechnique 56 (1): 63–68. https://doi.org/10.1680/geot.2006.56.1.63.
Yin, J. H., and Z. Fang. 2010. “Physical modeling of a footing on soft soil ground with deep cement mixed soil columns under vertical loading.” Mar. Georesour. Geotechnol. 28 (2): 173–188. https://doi.org/10.1080/10641191003780872.
Yin, J. H., and W. Q. Feng. 2017. “A new simplified method and its verification for calculation of consolidation settlement of a clayey soil with creep.” Can. Geotech. J. 54 (3): 333–347. https://doi.org/10.1139/cgj-2015-0290.
Yin, J. H., and J. Graham. 1989. “Viscous–elastic–plastic modelling of one-dimensional time-dependent behaviour of clays.” Can. Geotech. J. 26 (2): 199–209. https://doi.org/10.1139/t89-029.
Yin, J. H., and J. Graham. 1994. “Equivalent times and one-dimensional elastic viscoplastic modelling of time-dependent stress–strain behaviour of clays.” Can. Geotech. J. 31 (1): 42–52. https://doi.org/10.1139/t94-005.
Yin, J. H., and J. Graham. 1996. “Elastic visco-plastic modelling of one-dimensional consolidation.” Geotechnique 46 (3): 515–527. https://doi.org/10.1680/geot.1996.46.3.515.
Yin, J. H., and J. G. Zhu. 1999. “Elastic viscoplastic consolidation modelling and interpretation of pore-water pressure responses in clay underneath Tarsiut Island.” Can. Geotech. J. 36 (4): 708–717. https://doi.org/10.1139/t99-041.
Yin, J. H., and G. Zhu. 2020. Consolidation analyses of soils. Boca Raton, FL: CRC Press.
Yin, Z. Y., M. Karstunen, and P. Y. Hicher. 2010. “Evaluation of the influence of elasto-viscoplastic scaling functions on modelling time-dependent behaviour of natural clays.” Soils Found. 50 (2): 203–214. https://doi.org/10.3208/sandf.50.203.
Yu, X. J., Z. Fang, J. H. Yin, S. Y. Wang, and Y. Yan. 2007. “Numerical modelling of soft soil installed by PVDs.” Key Eng. Mater. 340: 1249–1254.
Zaman, M., A. Gopalasingam, and J. G. Laguros. 1991. “Consolidation settlement of bridge approach foundation.” J. Geotech. Eng. 117 (2): 219–240. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:2(219).
Zhao, L. S., W. H. Zhou, and K. V. Yuen. 2017. “A simplified axisymmetric model for column supported embankment systems.” Comput. Geotech. 92: 96–107. https://doi.org/10.1016/j.compgeo.2017.07.027.
Zhou, W. H., T. M. H. Lok, L. S. Zhao, G. X. Mei, and X. B. Li. 2017. “Analytical solutions to the axisymmetric consolidation of a multi-layer soil system under surcharge combined with vacuum preloading.” Geotext. Geomembr. 45 (5): 487–498. https://doi.org/10.1016/j.geotexmem.2017.06.003.
Zhou, Y., G. Kong, L. Wen, and Q. Yang. 2021. “Evaluation of geosynthetic-encased column-supported embankments with emphasis on penetration of column toe.” Comput. Geotech. 132: 104039. https://doi.org/10.1016/j.compgeo.2021.104039.
Zhu, G., and J. H. Yin. 2000. “Elastic visco-plastic consolidation modelling of clay foundation at Berthierville test embankment.” Int. J. Numer. Anal. Methods Geomech. 24 (5): 491–508. https://doi.org/10.1002/(SICI)1096-9853(20000425)24:5%3C491::AID-NAG78%3E3.0.CO;2-V.
Zhu, G., and J. H. Yin. 2004. “Consolidation analysis of soil with vertical and horizontal drainage under ramp loading considering smear effects.” Geotext. Geomembr. 22 (1–2): 63–74. https://doi.org/10.1016/S0266-1144(03)00052-9.
Zhu, G., J. H. Yin, and J. Graham. 2001. “Consolidation modelling of soils under the test embankment at Chek Lap Kok International Airport in Hong Kong using a simplified finite element method.” Can. Geotech. J. 38 (2): 349–363. https://doi.org/10.1139/t00-103.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 6June 2023

History

Received: Apr 7, 2022
Accepted: Jan 3, 2023
Published online: Apr 12, 2023
Published in print: Jun 1, 2023
Discussion open until: Sep 12, 2023

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Pei-Chen Wu [email protected]
Research Assistant Professor, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ., Hong Kong, China. Email: [email protected]
Wei-Qiang Feng [email protected]
Assistant Professor, Dept. of Ocean Science and Engineering, Southern Univ. of Science and Technology, Shenzhen, China; Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou), Guangzhou, China (corresponding author). Email: [email protected]
Jie-Qiong Qin [email protected]
Lecturer, School of Civil Engineering, North China Univ. of Technology (NCUT), Beijing, China. Email: [email protected]
Professor, School of Civil Engineering and Architecture, Zhejiang Sci-Tech Univ., Hangzhou 310018, China. Email: [email protected]
Jian-Hua Yin [email protected]
Chair Professor, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ., Hong Kong, China. Email: [email protected]

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