Technical Papers
Nov 23, 2022

Iterative Horizontal Method of Slices for Global Stability of Slurry Trench in Layered Cohesive-Frictional Soils

Publication: International Journal of Geomechanics
Volume 23, Issue 2

Abstract

This paper presents an iterative horizontal method of slices (iterative HMS) for the global stability analysis of a slurry trench in layered cohesive-frictional soils. The iterative HMS differs from existing HMS models in terms of the assumptions on interslice forces. Preceding HMS techniques postulate that normal interslice forces can be evaluated from overburden pressures, which can lead to the violation of failure criteria along interslice boundaries. The iterative HMS ensures that a limit equilibrium system is established without violating the failure criterion throughout the entire soil mass. This is achieved by iteratively adjusting interslice forces by means of enforcing the failure criterion for the aforementioned problematic slice boundaries violating the failure conditions. The performance of the iterative HMS is evaluated in example problems of a slurry trench in uniform clayey soils and cohesive-frictional strata. The results are compared against solutions obtained using finite-element limit analysis (FELA) and a shear strength reduction FEM (SSRFEM). This comparative analysis shows that the adjustment in interslice forces is important for reasonably assessing trench stability conditions. A parametric analysis is performed by using the iterative HMS to show under what trench construction parameters the adjustment of interslice forces cannot be neglected in the stability analysis of a slurry trench.

Get full access to this article

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

Acknowledgments

This work was financially supported by the National Natural Science Foundation of China (Grant No. 51738010) and the National Key R&D Program of China (Grant No. 2016YFC0800200). These sources of support are acknowledged.

References

AREMA (American Railway Engineering and Maintenance-of-Way Association). 2018. Manual for railway engineering. Lanham, MD: AREMA.
Abramson, L. W., T. S. Lee, S. Sharma, and G. M. Boyce. 2002. Slope stability and stabilization methods. 2nd ed. New York: Wiley.
Babendererde, S., E. Hoek, P. Marinos, and A. S. Cardoso. 2005. “EPB-TBM face support control in the Metro do Porto project, Portugal.” In Proc., Rapid Excavation and Tunnelling Conf. Seattle, WA: Society for Mining, Metallurgy, and Exploration.
Baker, R., and M. Garber. 1978. “Theoretical analysis of the stability of slopes.” Géotechnique 28 (4): 395–411. https://doi.org/10.1680/geot.1978.28.4.395.
Castaldo, P., F. Jalayer, and B. Palazzo. 2018. “Probabilistic assessment of groundwater leakage in diaphragm wall joints for deep excavations.” Tunnelling Underground Space Technol. 71: 531–543. https://doi.org/10.1016/j.tust.2017.10.007.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Drucker, D. C., and W. Prager. 1952. “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math. 10 (2): 157–165. https://doi.org/10.1090/qam/48291.
Duguid, D. R., D. J. Forbes, J. L. Gordon, and O. K. Simmons. 1971. “The slurry trench cut-off for the Duncan Dam.” Can. Geotech. J. 8 (1): 94–108. https://doi.org/10.1139/t71-008.
Fattah, M. Y. 2002. “Stability analysis of slopes using a double sliding model.” J. Eng. Coll. Eng. Univ. Baghdad 8 (4): 265–275.
Fattah, M. Y., Y. J. Al-Shakarchi, and M. T. Al-Hadidi. 2012. “A procedure for analysing reinforced embankments.” Arab. J. Sci. Eng. 10 (4): 291–319.
Filz, G. M., T. Adams, and R. R. Davidson. 2004. “Stability of long trenches in sand supported by bentonite-water slurry.” J. Geotech. Geoenviron. Eng. 130 (9): 915–921. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:9(915).
Finno, R. J., L. G. Arboleda-Monsalve, and F. Sarabia. 2015. “Observed performance of the one museum park west excavation.” J. Geotech. Geoenviron. Eng. 141 (1): 04014078. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001187.
Fox, P. J. 2004. “Analytical solutions for stability of slurry trench.” J. Geotech. Geoenviron. Eng. 130 (7): 749–758. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:7(749).
German Institute for Standardisation. 2013. Nachweis der Standsicherheit von Schlitzwänden [Stability analysis of diaphragm walls]. DIN 4126. Berlin: German Institute for Standardisation.
Grandas-Tavera, C. E., and T. Triantafyllidis. 2012. “Simulation of a corner slurry trench failure in clay.” Comput. Geotech. 45: 107–117. https://doi.org/10.1016/j.compgeo.2012.05.007.
Griffiths, D. V., and P. A. Lane. 1999. “Slope stability analysis by finite elements.” Géotechnique 49 (3): 387–403. https://doi.org/10.1680/geot.1999.49.3.387.
Griffiths, D. V., and R. M. Marquez. 2007. “Three-dimensional slope stability analysis by elasto-plastic finite elements.” Géotechnique 57 (6): 537–546. https://doi.org/10.1680/geot.2007.57.6.537.
Hajnal, I., J. Marton, and Z. Regele. 1984. Construction of diaphragm walls. New York: Wiley.
Hambleton, J. P., and S. W. Sloan. 2013. “A perturbation method for optimization of rigid block mechanisms in the kinematic method of limit analysis.” Comput. Geotech. 48: 260–271. https://doi.org/10.1016/j.compgeo.2012.07.012.
Han, C.-y., J.-j. Chen, J.-h. Wang, and X.-h. Xia. 2013. “2D and 3D stability analysis of slurry trench in frictional/cohesive soil.” J. Zhejiang Univ. Sci. A 14 (2): 94–100. https://doi.org/10.1631/jzus.A1200257.
Han, C.-Y., J.-H. Wang, X.-H. Xia, and J.-J. Chen. 2015. “Limit analysis for local and overall stability of a slurry trench in cohesive soil.” Int. J. Geomech. 15 (5): 06014026. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000268.
Huang, M., and C.-Q. Jia. 2009. “Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage.” Comput. Geotech. 36: 93–101. https://doi.org/10.1016/j.compgeo.2008.03.006.
Huang, M., H. Wang, D. Sheng, and Y. Liu. 2013. “Rotational-translational mechanism for the upper bound stability analysis of slopes with weak interlayer.” Comput. Geotech. 53: 133–141. https://doi.org/10.1016/j.compgeo.2013.05.007.
Kolda, T. G., R. M. Lewis, and V. Torczon. 2003. “Optimization by direct search: New perspectives on some classical and modern methods.” SIAM Rev. 45 (3): 385–482. https://doi.org/10.1137/S003614450242889.
Li, A. J., R. S. Merifield, H. D. Lin, and A. V. Lyamin. 2014. “Trench stability under bentonite pressure in purely cohesive clay.” Int. J. Geomech. 14 (1): 151–157. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000292.
Li, Y.-C., Q. Pan, P. J. Cleall, Y.-M. Chen, and H. Ke. 2013. “Stability analysis of slurry trenches in similar layered soils.” J. Geotech. Geoenviron. Eng. 139 (12): 2104–2109. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000958.
Liu, B., D.-W. Zhang, C. Yang, and Q.-B. Zhang. 2020. “Long-term performance of metro tunnels induced by adjacent large deep excavation and protective measures in Nanjing silty clay.” Tunnelling Underground Space Technol. 95: 103147. https://doi.org/10.1016/j.tust.2019.103147.
Min, F., W. Zhu, and X. Han. 2013. “Filter cake formation for slurry shield tunneling in highly permeable sand.” Tunnelling Underground Space Technol. 38: 423–430. https://doi.org/10.1016/j.tust.2013.07.024.
Ni, J.-C., and W.-C. Cheng. 2012. “Characterising the failure pattern of a station box of Taipei Rapid Transit System (TRTS) and its rehabilitation.” Tunnelling Underground Space Technol. 32: 260–272. https://doi.org/10.1016/j.tust.2012.06.010.
Oblozinsky, P., K. Ugai, M. Katagiri, K. Saitoh, T. Ishii, T. Masuda, and K. Kuwabara. 2001. “A design method for slurry trench wall stability in sandy ground based on the elastoplastic FEM.” Comput. Geotech. 28 (2): 145–159. https://doi.org/10.1016/S0266-352X(00)00028-8.
Potts, D. M., and L. Zdravkovic. 2012. “Accounting for partial material factors in numerical analysis.” Géotechnique 62 (12): 1053–1065. https://doi.org/10.1680/geot.11.P.057.
Qin, C. 2019. “Determination of slurry density required for stability of slurry-supported trenches excavated in partially submerged soils.” Comput. Geotech. 116: 103212. https://doi.org/10.1016/j.compgeo.2019.103212.
Shahgholi, M., A. Fakher, and C. J. F. P. Jones. 2001. “Horizontal slice method of analysis.” Géotechnique 51 (10): 881–885. https://doi.org/10.1680/geot.2001.51.10.881.
Sloan, S. W. 2013. “Geotechnical stability analysis.” Géotechnique 63 (7): 531–571. https://doi.org/10.1680/geot.12.RL.001.
Tsai, J.-S., and J.-C. Chang. 1996. “Three-dimensional stability analysis for slurry-filled trench wall in cohesionless soil.” Can. Geotech. J. 33 (5): 798–808. https://doi.org/10.1139/t96-105-325.
Tsai, J.-S., L.-D. Jou, and H.-S. Hsieh. 2000. “A full-scale stability experiment on a diaphragm wall trench.” Can. Geotech. J. 37 (2): 379–392. https://doi.org/10.1139/t99-122.
Tschuchnigg, F., H. F. Schweiger, and S. W. Sloan. 2015. “Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part I: Numerical studies considering non-associated plasticity.” Comput. Geotech. 70: 169–177. https://doi.org/10.1016/j.compgeo.2015.06.018.
Venkataraman, P. 2009. Applied optimization with MATLAB programming. New York: Wiley.
Walz, B., and J. Prager. 1978. Der Nachweis der äußeren Standsicherheit flüssigkeitsgestützter Erdwände nach der Elementscheibentheorie. Vol. 4. [In German.] Berlin: Publication of the Grundbauinstitut of the Technical University of Berlin.
Wang, H., and M. Huang. 2020. “Upper bound stability analysis of slurry-supported trenches in layered soils.” Comput. Geotech. 122: 103554. https://doi.org/10.1016/j.compgeo.2020.103554.
Wu, Y.-X., H.-M. Lyu, J. Han, and S.-L. Shen. 2019. “Dewatering-induced building settlement around a deep excavation in soft deposit in Tianjin, China.” J. Geotech. Geoenviron. Eng. 145 (5): 05019003. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002045.
Yang, X., and G. Liu. 2017. “Performance of a large-scale metro interchange station excavation in Shanghai soft clay.” J. Geotech. Geoenviron. Eng. 143 (6): 05017003. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001681.
Zhang, J., Y. Gao, F. Zhang, Y. Wan, and M. Liu. 2018. “Influence of anisotropy and non-homogeneity on stability analysis of slurry-support trenches.” Int. J. Geomech. 18 (5): 04018028. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001151.
Zhang, Y.-Q., M.-G. Li, J.-H. Wang, J.-J. Chen, and Y.-F. Zhu. 2017. “Field tests of pumping-recharge technology for deep confined aquifers and its application to a deep excavation.” Eng. Geol. 228: 249–259. https://doi.org/10.1016/j.enggeo.2017.08.019.

Information & Authors

Information

Published In

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

History

Received: Apr 23, 2022
Accepted: Sep 6, 2022
Published online: Nov 23, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 23, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Maosong Huang
Professor, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China.
Ph.D. Candidate, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China. ORCID: https://orcid.org/0000-0001-9419-3138
Assistant Professor, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China (corresponding author). ORCID: https://orcid.org/0000-0002-7071-1567. 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