Abstract
This paper presents an analytical solution for free strain consolidation of a stone column-stabilised soft soil under instantly applied loading and two-dimensional plane strain conditions. Both horizontal and vertical flows of water were integrated into the mathematical model of the problem, while the total vertical stresses induced by the external load were assumed to distribute uniformly within each column and soil region. By utilising the separation of variables method, an exact series solution was obtained to predict the variation of excess pore water pressure and settlement with time for any point in the model. The achieved solution can capture the drain resistance effect due to the inclusion of permeability and size of the stone column in the mathematical model. A worked example investigating the dissipation of excess pore water pressure was conducted to exhibit the capabilities of the obtained analytical solution. The correctness of the solution was verified against a finite element modelling with good agreements. Besides, a parametric study to inspect the influence of consolidation parameters of soil on performance objectives (e.g. average degree of consolidation and average differential settlement) was also reported in this study. The results from the parametric analysis show that an increase in permeability of soil sped up considerably the consolidation and differential settlement. Furthermore, an increase in soil stiffness accelerated the consolidation and reduced the average differential settlement between stone column and soft soil significantly. Eventually, the proposed analytical solution is also feasible to predict the consolidation of soft soil with the inclusion of prefabricated vertical drains or pervious columns by adopting appropriate consolidation parameters and stress concentration ratio.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Castro J, Karstunen M, Sivasithamparam N (2014) Influence of stone column installation on settlement reduction. Comput Geotech 59:87–97
Zhao L-S, Zhou W-H, Yuen K-V (2017) A simplified axisymmetric model for column supported embankment systems. Comput Geotech 92:96–107
Basack S, Siahaan F, Indraratna B, Rujikiatkamjorn C (2018) Stone column-stabilized soft-soil performance influenced by clogging and lateral deformation: laboratory and numerical evaluation. Int J Geomech 18:04018058
Doan S, Fatahi B (2020) Analytical solution for free strain consolidation of stone column-reinforced soft ground considering spatial variation of total stress and drain resistance. Comput Geotech 118:103291
Chai J-C, Shrestha S, Hino T, Ding W-Q, Kamo Y, Carter J (2015) 2D and 3D analyses of an embankment on clay improved by soil–cement columns. Comput Geotech 68:28–37
Indraratna B, Ngo NT, Rujikiatkamjorn C, Sloan SW (2015) Coupled discrete element–finite difference method for analysing the load-deformation behaviour of a single stone column in soft soil. Comput Geotech 63:267–278
Jamsawang P, Phongphinittana E, Voottipruex P, Bergado DT, Jongpradist P (2018) Comparative performances of two-and three-dimensional analyses of soil-cement mixing columns under an embankment load. Marine Georesour Geotechnol 1–18
Das AK, Deb K (2017) Response of cylindrical storage tank foundation resting on tensionless stone column-improved soil. Int J Geomech 17:04016035
Sexton BG, Sivakumar V, McCabe BA (2017) Creep improvement factors for vibro-replacement design. Proc Inst Civil Eng-Ground Improvement 170:35–56
Hird C, Pyrah I, Russel D (1992) Finite element modelling of vertical drains beneath embankments on soft ground. Geotechnique 42:499–511
Indraratna B, Redana I (1997) Plane-strain modeling of smear effects associated with vertical drains. J Geotech Geoenviron Eng 123:474–478
Tan SA, Tjahyono S, Oo K (2008) Simplified plane-strain modeling of stone-column reinforced ground. J Geotech Geoenviron Eng 134:185–194
Parsa-Pajouh A, Fatahi B, Khabbaz H (2015) Experimental and numerical investigations to evaluate two-dimensional modeling of vertical drain–assisted preloading. Int J Geomech 16:B4015003
Barron RA (1948) Consolidation of fine-grained soils by drain wells. Trans Am Soc Civil Eng 113:718–742
Aviles-Ramos C, Haji-Sheikh A, Beck J (1998) Exact solution of heat conduction in composite materials and application to inverse problems. J Heat Transf 120:592–599
Hahn DW, Özişik MN (2012) Heat conduction, 3rd edn. Wiley, Hoboken
PLAXIS BV. PLAXIS 2D, version 2017—two-dimensional finite element program, The Netherlands
Mitchell JK (1981) Soil improvement—state-of-the-art report. In: Proceedings of 11th international conference on SMFE1981, pp 509–565
Ho L, Fatahi B (2015) One-dimensional consolidation analysis of unsaturated soils subjected to time-dependent loading. Int J Geomech 16:04015052
Le TM, Fatahi B, Khabbaz H, Sun W (2017) Numerical optimization applying trust-region reflective least squares algorithm with constraints to optimize the non-linear creep parameters of soft soil. Appl Math Modelling 41:236–256
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Doan, S., Fatahi, B., Khabbaz, H., Rasekh, H. (2022). Analytical Solution for Plane Strain Consolidation of Soft Soil Stabilised by Stone Columns. In: Tutumluer, E., Nazarian, S., Al-Qadi, I., Qamhia, I.I. (eds) Advances in Transportation Geotechnics IV. Lecture Notes in Civil Engineering, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-030-77230-7_57
Download citation
DOI: https://doi.org/10.1007/978-3-030-77230-7_57
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-77229-1
Online ISBN: 978-3-030-77230-7
eBook Packages: EngineeringEngineering (R0)