Optimized Design of Foundations on Soft Soil Reinforced by Floating Granular Columns
Publication: International Journal of Geomechanics
Volume 24, Issue 5
Abstract
This paper studies the design of foundations built on thick compressible soft soil layers that are reinforced by floating columns. Based on a recent methodology, the suggested design combines the bearing capacity and settlement verifications to provide an optimized improvement area ratio (IAR). Then, an optimized length for the floating columns is obtained by introducing the admissible long-term settlement of the unreinforced compressible sublayers and assuming that the total short-term settlement vanishes at the end of project construction. This paper focuses on the variation in the consolidation settlement of the unreinforced compressible sublayer versus the length of the floating columns. The discussion of this design methodology highlights the feasibility of a potential reinforcement solution when producing a cost-effective design, which assures an optimized IAR within the reinforced upper layer and an optimized length for the floating columns. Using typical case history data, a parametric study showed that reinforcement with end-bearing columns is not required to control the admissible long-term settlement. Instead, the suggested design method enables the determination of the optimized length of the floating columns, which satisfies the admissible residual settlement and consolidation time. The comparison between the proposed results and numerical predictions by Plaxis 2D shows good agreement, which confirms the feasibility of an optimized length for floating columns and avoids the systematic adoption of end-bearing reinforcement in columns.
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Notation
The following symbols are used in this paper:
- B
- rigid raft width;
- c
- cohesion;
- Cc
- compression index;
- cv
- coefficient of vertical consolidation;
- Dc
- diameter of column;
- De
- diameter of influence area;
- E
- Young’s modulus;
- e0
- initial void ratio;
- H
- thickness of the soft deposit layers;
- Hc
- length of column;
- Hu
- thickness of the unreinforced sublayer;
- Nc
- number of columns;
- q
- uniform vertical load;
- rc
- radius of column;
- re
- radius of influence area;
- s
- consolidation settlement;
- Sc
- axis-to-axis spacing between columns;
- tc
- time of consolidation;
- Tv
- time factor;
- Uv
- degree of consolidation;
- z
- layer depth;
- α−β
- coefficient, depth ratio;
- γ
- unit weight;
- δLT
- long-term settlement;
- δres
- residual settlement;
- δST
- short-term settlement;
- δtot,adm
- allowable short-term settlement;
- η
- improvement area ratio;
- Δσ′
- excess of vertical stress;
- ηopt
- optimized improvement area ratio;
- effective overburden stress;
- ν
- Poisson’s ratio; and
- φ
- drained friction angle.
References
Abuelgasim, R., A. S. A. Rashid, M. Bouassida, K. N. Mat Said, and M. H. Abdullah. 2021. “Settlement of soft soil treated with group of floating bottom ash columns.” Desalin. Water Treat. 239: 270–277. https://doi.org/ 10.5004/dwt.2021.27581.
ASCRDO (Ariake Sea Costal Road development). 2009. Research report. Fukuoka, Japan: ASCRDO.
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.
Bergado, D. T., L. R. Anderson, N. Miura, and A. S. Balasubramaniuam. 1996. Soft ground improvement in lowland and other environments. New York: ASCE Press.
Bouassida, M. 2016. Design of column-reinforced foundations. Plantation, FL: J. Ross Publishing, September. 224 pages. ISBN: 978-1-60427-072-3.
Bouassida, M., and J. P. Carter. 2014. “Optimization of design of column-reinforced foundations.” Int. J. Geomech. 14 (6): 04014031. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000384.
Bouassida, M., Z. Guetif, P. de Buhan, and L. Dormieux. 2003. “Estimation par une approche variationnelle du tassement d’une fondation rigide sur sol renforcé par colonnes.” Revue Française de Géotechnique 102: 21–29. https://doi.org/10.1051/geotech/2003102021.
Bouassida, M., and L. Hazzar. 2008. “Comparison between stone columns and vertical geodrains with preloading embankment techniques.” In “Proc., 6th Int. Conf. On Case Histories in Geotechnical Engineering.” Rolla, MO: Missouri University of Science and Technology.
Bouassida, M., and L. Hazzar. 2012. “Novel tool for optimised design of reinforced soils by columns.” Proc. Inst. Civ. Eng. Ground Improv. 165 (1): 31–40. https://doi.org/10.1680/grim.2012.165.1.31.
Bouassida, M., and L. Hazzar. 2015. “Performance of soft clays reinforced by floating columns.” In Chap. 16 of Ground Improvement Cases Histories, Embankments with Special Reference to Consolidation and Other Physical Methods, edited by Indraratna et al., 433–449. Part Two: Sands and Gravel Piles, Stone Columns and Other Rigid Inclusions. Oxford, UK: Butterworth Heinemann Publications, Elsevier.
Bouassida, M., B. Jellali, and A. Porbaha. 2009. “Limit analysis of rigid foundations on floating columns.” Int. J. Geomech. 9 (3): 89–101. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:3(89).
Chai, J., and J. P. Carter. 2011. Deformation analysis in soft ground improvement. Dordrecht: Springer.
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.
Das, B. M. 2021. Principles of geotechnical engineering. Boston, MA: Cengage Learning.
Ellouze, S., M. Bouassida, Z. Bensalem, and M. N. Znaidi. 2017. “Numerical analysis of the installation effects on the behaviour of soft clay improved by stone columns.” Geomech. Geoeng. 12 (2): 73–78. https://doi.org/10.1080/17486025.2016.1164903.
Elshazly, H. A., D. H. Hafez, and M. E. Mossaad. 2008. “Reliability of conventional settlement evaluation for circular foundations on stone columns.” Geotech. Geol. Eng. 26 (3): 323–334. https://doi.org/10.1007/s10706-007-9169-9.
Fattah, M. Y., M. A. Al-Neami, and A. S. Al-Suhaily. 2017. “Estimation of bearing capacity of floating group of stone columns.” Eng. Sci. Technol. Int. J. 20 (3): 1166–1172. https://doi.org/10.1016/j.jestch.2017.03.005.
Frikha, W., M. Bouassida, and J. Canou. 2013. “Observed behaviour of laterally expanded stone column in soft soil.” Geotech. Geol. Eng. 31 (2): 739–752. https://doi.org/10.1007/s10706-013-9624-8.
Henkel, D. J. 1956. “The effect of overconsolidation on the behaviour of clays during shear.” Géotechnique 6 (4): 139–150. https://doi.org/10.1680/geot.1956.6.4.139.
Klai, M., M. Bouassida, and S. Tabchouche. 2015. “Numerical modelling of Tunis soft clay.” Geotech. Eng. J. SEAGS AGSSEA 46 (4): 87–95.
Lorenzo, G. A., and D. T. Bergado. 2003. “New consolidation equation for soil–cement pile improved ground.” Can. Geotech. J. 40 (2): 265–275. https://doi.org/10.1139/t02-114.
Mezni, N., and M. Bouassida. 2019. “Geotechnical characterization and behavior of Tunis soft clay.” Geotech. Eng. J. SEAGS AGSSEA 50 (4): 87–95.
Miao, L., X. Wang, and E. Kavazanjian. 2008. “Consolidation of a double-layered compressible foundation partially penetrated by deep mixed columns.” J. Geotech. Geoenviron. Eng. 134 (8): 1210–1214. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:8(1210).
Ng, K. S., and S. A. Tan. 2014. “Design and analyses of floating stone columns.” Soils Found. 54 (3): 478–487. https://doi.org/10.1016/j.sandf.2014.04.013.
Skempton, A. W. 1954. “The pore-pressure coefficients A and B.” Géotechnique 4 (4): 143–147. https://doi.org/10.1680/geot.1954.4.4.143.
Skempton, A. W., and L. Bjerrum. 1957. “A contribution to the settlement analysis of foundations on clay.” Géotechnique 7 (4): 168–178. https://doi.org/10.1680/geot.1957.7.4.168.
Tabchouche, S., M. Mellas, and M. Bouassida. 2017. “On settlement prediction of soft clay reinforced by a group of stone columns.” Innov. Infrastruct. Solut. 2: 1. https://doi.org/DOI 10.1007/s41062-016-0049-0.
U.S. NAVY. 1971. Soil mechanics, foundations and earth structures. NAVFAC Design Manual, DM-7. Washington, DC: U.S. NAVY.
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© 2024 American Society of Civil Engineers.
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Received: May 29, 2023
Accepted: Nov 21, 2023
Published online: Mar 12, 2024
Published in print: May 1, 2024
Discussion open until: Aug 12, 2024
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