Technical Papers
Nov 18, 2022

Optimal Design of Rigid Inclusions and Stone Columns Using Multiobjective Optimization

Publication: International Journal of Geomechanics
Volume 23, Issue 2

Abstract

Ground improvement adopting stone columns or rigid inclusions has become popular in engineering practice as it can be more economical under certain design criteria. In typical designs of either stone columns or rigid inclusions, the column diameter, column length, and grid spacing are three main parameters that affect the costs and performance of the improved ground. This work is concerned with achieving an optimal design for these two ground improvement methods. The design of the three main design parameters is subject to optimization using a multiobjective optimization algorithm with respect to minimizing the construction cost of the soil improvement system. We explain how the semiautomated design optimization works in connection with the considered calculation method used for the design and how execution constraints, if required, can be incorporated in the design workflow. Through the use of Priebe’s method and (ASIRI) recommendations for the calculation of stone columns and rigid inclusions, respectively, the usefulness of the presented design optimization approach for each of the two ground improvement methods is demonstrated.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The author thanks Dr. Techn. Chien-Hsun Chen for his kind help in proofreading and giving valuable suggestions that improved the quality of this manuscript. Support in implementation and validation of the ASIRI recommendations and the Priebe method from Mr. Ragadeep Bojja, Mr. Pablo Forgoso, and Mr. Fadi Haddad is gratefully acknowledged.

References

Blanc, M., G. Rault, L. Thorel, and M. Almeida. 2013. “Centrifuge investigation of load transfer mechanisms in a granular mattress above a rigid inclusions network.” Geotext. Geomembr. 36: 92–105. https://doi.org/10.1016/j.geotexmem.2012.12.001.
Castro, J. 2017. “Modeling stone columns.” Materials 10 (7): 782. https://doi.org/10.3390/ma10070782.
Chan, C. M., L. Zhang, and J. T. Ng. 2009. “Optimization of pile groups using hybrid genetic algorithms.” J. Geotech. Geoenviron. Eng. 135 (4): 497–505. https://doi.org/10.1061/(ASCE)1090-0241(2009)135:4(497).
Chankong, V., and Y. Y Haimes. 2008. Multiobjective decision making: Theory and methodology. Mineola, NY: Courier Dover Publications.
Chen, C., F. Mao, G. Zhang, J. Huang, J. G. Zornberg, X. Liang, and J. Chen. 2021. “Settlement-based cost optimization of geogrid-reinforced pile-supported foundation.” Geosynth. Int. 28 (5): 541–557. https://doi.org/10.1680/jgein.21.00002.
Chevalier, B., P. Villard, and G. Combe. 2011. “Investigation of load-transfer mechanisms in geotechnical earth structures with thin fill platforms reinforced by rigid inclusions.” Int. J. Geomech. 11 (3): 239–250. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000083.
Cunha, R., H. Poulos, and J. Small. 2001. “Investigation of design alternatives for a piled raft case history.” J. Geotech. Geoenviron. Eng. 127 (8): 635–641. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:8(635).
Deb, K., and A. Dhar. 2011. “Optimum design of stone column-improved soft soil using multiobjective optimization technique.” Comput. Geotech. 38 (1): 50–57. https://doi.org/10.1016/j.compgeo.2010.10.005.
Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. 2002. “A fast and elitist multiobjective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput. 6 (2): 182–197. https://doi.org/10.1109/4235.996017.
Gu, M., J. Han, and M. Zhao. 2017. “Three-dimensional discrete-element method analysis of stresses and deformations of a single geogrid-encased stone column.” Int. J. Geomech. 17 (9): 04017070. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000952.
Indraratna, B., N. T. Ngo, C. Rujikiatkamjorn, and S. W. Sloan. 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. https://doi.org/10.1016/j.compgeo.2014.10.002.
IREX. 2012. “Recommendations for the design, construction and control of rigid inclusion ground improvements: ASIRI National Project.” Paris: Presses des Ponts.
Juang, C. H., and L. Wang. 2013. “Reliability-based robust geotechnical design of spread foundations using multi-objective genetic algorithm.” Comput. Geotech. 48: 96–106. https://doi.org/10.1016/j.compgeo.2012.10.003.
Kim, K. N., S. -H. Lee, K. -S. Kim, C. -K. Chung, M. M. Kim, and H. S. Lee. 2001. “Optimal pile arrangement for minimizing differential settlements in piled raft foundations.” Comput. Geotech. 28 (4): 235–253. https://doi.org/10.1016/S0266-352X(01)00002-7.
Kinzler, S., F. Konig, and J. Grabe. 2007. “Entwurf einer pfahlgrundung unter anwendung der mehrkriterien-optimierung.” Bauingenieur 82 (9): 367–379.
Klobe, B. 2020. “The design of plane earthwork structures on pile foundations.” Geotechnik 44 (1): 24–32. https://doi.org/10.1002/gete.v44.1.
Leung, Y. F., A. Klar, and K. Soga. 2010. “Theoretical study on pile length optimization of pile groups and piled rafts.” J. Geotech. Geoenviron. Eng. 136 (2): 319–330. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000206.
Leung, Y. F., A. Klar, K. Soga, and N. Hoult. 2017. “Superstructure-foundation interaction in multi-objective pile group optimization considerin settlement response.” Can. Geotech. J. 54 (10): 1408–1420. https://doi.org/10.1139/cgj-2016-0498.
Meier, J. 2019. “Automatisierte Optimierung von Baugrubensicherungen.” In Vorträge zum 26. Darmstädter Geotechnik-Kolloquium, 19–30. Darmstadt, Germany: Technische Universität Darmstadt.
Nakanishi, K., and I. Takewaki. 2013. “Optimum pile arrangement in piled raft foundation by using simplified settlement analysis and adaptive step-length algorithm.” Geomech. Eng. 5 (6): 519–540. https://doi.org/10.12989/gae.2013.5.6.519.
Pecker, A. 2004. “Design and construction of the Rion Antirion bridge.” In Geotechnical engineering for transportation projects, edited by Edward Kavazanjian and Mishac K. Yegian, 216–240. Reston, VA: ASCE.
Phutthananon, C., P. Jongpradist, D. Dias, P. Jamsawang, and D. T. Bergado. 2021. “Performance-based design optimization of embankments resting on soft soil improved with t-shaped and conventional dcm columns.” Acta Geotech. 16 (10): 3301–3326. https://doi.org/10.1007/s11440-021-01258-x.
Priebe, H. J. 1995. “The design of vibro replacement.” Ground Eng. 28 (10): 31.
Ravichandran, N., and S. Shrestha. 2020. “Performance-and cost-based robust design optimization procedure for typical foundations for wind turbine.” Int. J. Geotech. Eng. 14 (4): 395–408. https://doi.org/10.1080/19386362.2018.1428387.
Reul, O., and M. F. Randolph. 2004. “Design strategies for piled rafts subjected to nonuniform vertical loading.” J. Geotech. Geoenviron. Eng. 130 (1): 1–13. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:1(1).
Schaffer, J. D. 1985. Some experiments in machine learning using vector evaluated genetic algorithms. Rep. No. Nashville, TN: Vanderbilt Univ.
Seed, H. B., and J. R. Booker. 1977. “Stabilization of potentially liquefiable sand deposits using gravel drains.” J. Geotech. Eng. 103 (7): 757–768.
Seitz, K.-F., and J. Grabe. 2016. “Three-dimensional topology optimization for geotechnical foundations in granular soil.” Comput. Geotech. 80: 41–48. https://doi.org/10.1016/j.compgeo.2016.06.012.
Shen, Q., F. Vahdatikhaki, H. Voordijk, J. van der Gucht, and L. van der Meer. 2022. “Metamodel-based generative design of wind turbine foundations.” Autom. Constr. 138: 104233. https://doi.org/10.1016/j.autcon.2022.104233.
Simon, B. 2012. “General report S5 rigid inclusions and stone columns.” In Proc., Int. Symp. on Ground Improvement, 127–168. London: ISSMGE.
Srinivas, N., and K. Deb. 1994. “Muiltiobjective optimization using nondominated sorting in genetic algorithms.” Evol. Comput. 2 (3): 221–248. https://doi.org/10.1162/evco.1994.2.3.221.
Tan, X., L. Feng, Z. Hu, and M. Zhao. 2021. “Failure modes and ultimate bearing capacity of the isolated stone column in soft soil.” Bull. Eng. Geol. Environ. 80 (3): 2629–2642. https://doi.org/10.1007/s10064-020-02066-5.
Yoo, C., and S.-B. Kim. 2009. “Numerical modeling of geosynthetic-encased stone column-reinforced ground.” Geosynth. Int. 16 (3): 116–126. https://doi.org/10.1680/gein.2009.16.3.116.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 2February 2023

History

Received: Jan 22, 2022
Accepted: Jul 30, 2022
Published online: Nov 18, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 18, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

BAUER Spezialtiefbau GmbH, BAUER-St. 1, 86529 Schrobenhausen, Germany. ORCID: https://orcid.org/0000-0001-9005-0172. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share