A Simple Method for Calculating Consolidation Settlements of Clayey Soils and Settlement Prediction-Control

Authors

  • J. H. Yin The Hong Kong Polytechnic University, Hong Kong Author
  • Z. J. Chen The Hong Kong Polytechnic University, Hong Kong Author
  • P. C. Wu The Hong Kong Polytechnic University, Hong Kong Author
  • Z. Y. Yin The Hong Kong Polytechnic University, Hong Kong Author

DOI:

https://doi.org/10.21467/proceedings.8.2.28

Abstract

 

Large settlements of foundations or artificial islands on soft soil grounds such as the Tower of Pisa, Japan Kansai Airport Reclamations, and Hong Kong reclamations, are caused by viscous behaviour (creep) of clayey soil skeleton. The paper then presents (i) Hypothesis A and Hypothesis B methods for calculating consolidation settlements of clayey soils and (ii) the history and equations of the two methods, explaining the inherent logical mistakes of Hypothesis A method. A simplified Hypothesis B method, namely simple method, is presented for calculating consolidation settlements of one-layer and multi-layers of clayey soils with or without vertical drains. Verifications of the simple method by comparison with lab data and values from fully coupled numerical methods are presented. The fully coupled numerical methods and simple method presented in this paper have been adopted in the 5th edition of “Canadian Foundation Engineering Manual”. The control of post-construction settlement is important and can be achieved by over-surcharging soft soils beyond the designed vertical pressure and making the soft soils over-consolidated. The simple method can be used to predict and control the settlement of soils during and after construction.

References

Adachi, T., & Oka, F. (1982). Constitutive equations for normally consolidated clay based on elasto-viscoplasticity. Soils and Foundations, 22(4), 57–70.

Bjerrum, L. (1967). Engineering geology of Norwegian normally-consolidated marine clays as related to settlements of buildings. Géotechnique, (17), 81–118. https://doi.org/10.1680/geot.1967.17.2.83

Borja, R. I., & Choo, J. (2016). Cam-Clay plasticity, Part VIII: A constitutive framework for porous materials with evolving internal structure. Computer Methods in Applied Mechanics and Engineering, 309, 653–679. https://doi.org/10.1016/j.cma.2016.06.016

Burland, J. B., Jamiolkowski, M., & Viggiani, C. (2003). The stabilisation of the Leaning Tower of Pisa. Soils and Foundations, 43(5), 63–80.

CGS. (2023). Section 7.9.2. Methods for consolidation analyses of clayey soils exhibiting viscous compression. In Canadian Foundation Engineering Manual (CFEM) (5th ed., pp. 228–232). The Canadian Geotechnical Society (CGS).

Chen, Z. J., Feng, W. Q., & Yin, J. H. (2021). A new simplified method for calculating short-term and longterm consolidation settlements of multi-layered soils considering creep limit. Computers and Geotechnics, 138, 104324. https://doi.org/10.1016/j.compgeo.2021.104324

Chen, Z. J., Feng, W. Q., Yin, J. H. & Shi, X. S. (2023). Finite element model and simple method for predicting consolidation displacement of soft soils exhibiting creep underneath embankments in 2-D condition. Acta Geotechnica, 18, 2513–2528 (2023). https://doi.org/10.1007/s11440-022-01741-z

Chen, Z., Li, P., Wu, P., Yin, J., & Song, D. (2024). Study of the one-dimensional consolidation and creep of clays with different thicknesses using different hypotheses and three elastic visco-plastic models. Acta Geotechnica, 19(11), 7329–7347. https://doi.org/10.1007/s11440-024-02405-w

Degago, S. A., Grimstad, G., Jostad, H. P., Nordal, S., & Olsson, M. (2011). Use and misuse of the isotache concept with respect to creep hypotheses A and B. Geotechnique, 61(10), 897–908. https://doi.org/10.1680/geot.9.P.112

Feng, W., & Yin, J. (2018). A new simplified Hypothesis B method for calculating the consolidation settlement of ground improved by vertical drains. International Journal for Numerical and Analytical Methods in Geomechanics, 42(2), 295–311. https://doi.org/10.1002/nag.2743

Grimstad, G., Karstunen, M., Jostad, H. P., Sivasithamparam, N., Mehli, M., Zwanenburg, C., den Haan, E., Ghoreishian Amiri, S. A., Boumezerane, D., Kadivar, M., Ashrafi, M. A. H., & Rønningen, J. A. (2022). Creep of geomaterials – some finding from the EU project CREEP. European Journal of Environmental and Civil Engineering, 26(7), 2521–2536. https://doi.org/10.1080/19648189.2016.1271360

Hansbo, S. (1981). Consolidation of fine-grained soils by prefabricated drains. Proceedings of the International Conference on Soil Mechanics and Foundation Engineering.

Jamiolkowski, M., Ladd, C. C., Germaine, J. T., & Lancellotta, R. (1985). New development in field and laboratory testing of soils. Proceedings of the 11th International Conference on Soil Mechanics and Foundation Engineering, 1, 57–153.

Kavazanjian, E. (1988). Discussion: The occurrence of creep during consolidation. Proceedings of the 11th International Conference on Soil Mechanics and Foundation Engineering, 5, 2625.

Koutsoftas, D. C., Foott, R., & Handfelt, L. D. (1987). Geotechnical investigations offshore Hong Kong. Journal of Geotechnical Engineering, 113(2), 87–105. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:2(87)

Ladd, C., Foott, R., Ishihara, K., Schlosser, F., & Poulos, H. (1977). Stress-deformation and strength characteristics. State of the Art Report, Proceeding 9th of ISMFE, 2, 421–494.

Le, T. M., Fatahi, B., & Khabbaz, H. (2012). Viscous Behaviour of Soft Clay and Inducing Factors. Geotechnical and Geological Engineering, 30(5), 1069–1083. https://doi.org/10.1007/s10706-012-9535-0

Leroueil, S. (2006). The isotache approach. Where are we 50 years after its development by Professor Šuklje? (2006 Prof. Šuklje’s Memorial Lecture). Proceedings of the 13th Danube-European Conference on Geotechnical Engineering; Ljubljana, 2, 55–88.

Mesri, G., & Choi, Y. K. (1985). Settlement analysis of embankments on soft clays. Journal of Geotechnical Engineering, 113(9), 1076–1085. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:9(1076)

Mesri, G. & J. R. Funk. (2015). Settlement of the Kansai International Airport Islands. Journal of Geotechnical and Geoenvironmental Engineering, 141(2), 1–16. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001224

Mesri, G., & Vardhanabhuti, B. (2005). Secondary Compression. Journal of Geotechnical and Geoenvironmental Engineering, 131(3), 398–401. https://doi.org/10.1061/(asce)1090-0241(2005)131:3(398)

Mitchell, J. K., & Soga, K. (2005). Fundamentals of soil behavior. Wiley.

Rocchi, G., Vaciago, G., Fontana, M., & Plebani, F. (2006). Enhanced prediction of settlement in structured clays with examples from Osaka Bay. Geomechanics and Geoengineering, 1(3), 217–237. https://doi.org/10.1080/17486020600986793

Šuklje, L. (1957). The analysis of the consolidation process by the isotache method. Proceedings of the 4th International Conference on Soil Mechanics and Foundation Engineering, 1, 200–206.

Szavits-Nossan, V. (2015). Consolidation and creep: Hypotheses A and B revisited. Geotechnical Engineering for Infrastructure and Development, 3765–3770.

Taylor, D. W., & Merchant, Wilfred. (1940). A theory of clay consolidation accounting for secondary compression. Journal of Mathematics and Physics, 19(4), 167–185.

Vermeer, P. A., & Neher, H. P. (1999). A soft soil model that accounts for creep. Beyond 2000 in Computational Geotechnics. Ten Years of PLAXIS International. Proceedings of the International Symposium, Amsterdam, March 1999. https://doi.org/10.1201/9781315138206-24

Walker, R., & Indraratna, B. (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

Yin, J., & Graham, J. (1994). Equivalent times and one dimensional elastic viscoplastic modelling of time-dependent stress strain behaviour of clays. Canadian Geotechnical Journal, 31, 42–52. https://doi.org/10.1139/t94-005

Yin, J.-H. (2015). Fundamental Issues of Elastic Viscoplastic Modeling of the Time-Dependent Stress–Strain Behavior of Geomaterials. International Journal of Geomechanics, 15(5), 1–9. https://doi.org/10.1061/(asce)gm.1943-5622.0000485

Yin, J.-H., Chen, Z.-J., & Feng, W.-Q. (2022). A general simple method for calculating consolidation settlements of layered clayey soils with vertical drains under staged loadings. Acta Geotechnica, 17(8), 3647–3674. https://doi.org/10.1007/s11440-021-01318-2

Yin, J.-H., Chen, Z.-J., Wu, P.-C., & Liu, K. (2024). Fully Coupled Numerical Methods and a Simple Method for Calculating Settlements of Foundations and Reclamations on Clayey Soils. Proceedings of The HKIE Geotechnical Division 44th Annual Seminar - Elevating Geotechnical Excellence: Novel Practices & Innovative Solutions, Hong Kong, 2024

Yin, J.-H., & Feng, W.-Q. (2017). A new simplified method and its verification for calculation of consolidation settlement of a clayey soil with creep. Canadian Geotechnical Journal, 54(3), 333–347. https://doi.org/10.1139/cgj-2015-0290

Yin, J.-H., & Graham, J. (1989). Visco-elastic-plastic modelling of one-dimentional time-dependent behaviour of clays. Canadian Geotechnical Journal, 26(2), 199–208.

Yin, Z. Y., Chang, C. S., Karstunen, M., & Hicher, P. Y. (2010). An anisotropic elastic-viscoplastic model for soft clays. International Journal of Solids and Structures, 47(5), 665–677. https://doi.org/10.1016/j.ijsolstr.2009.11.004

Yuan, Y., & Whittle, A. J. (2018). A novel elasto-viscoplastic formulation for compression behaviour of clays. Géotechnique, 68(12), 1044–1055. https://doi.org/10.1680/jgeot.16.P.276

Zeevaert, L. (1986). Consolidation in the intergranular viscosity of highly compressible soils. In Consolidation of soils: Testing and evaluation. ASTM International.

Zhu, G., Yin, J.-H., & Graham, J. (2001). Consolidation modelling of soils under the test embankment at Chek Lap Kok International Airport in Hong Kong using a simplified finite element method. Canadian Geotechnical Journal, 38(2), 349–363. https://doi.org/10.1139/cgj-38-2-349

Downloads

Published

2026-09-17

How to Cite

[1]
J. H. Yin, Z. J. Chen, P. C. Wu, and Z. Y. Yin, “A Simple Method for Calculating Consolidation Settlements of Clayey Soils and Settlement Prediction-Control”, AIJR Proc., vol. 8, no. 2, pp. 313–324, Sep. 2026, doi: 10.21467/proceedings.8.2.28.