Technical Papers
Jun 13, 2024

Active Earth Pressure on the Rigid Support Structures of Excavations Parallel to Tunnel Construction

Publication: International Journal of Geomechanics
Volume 24, Issue 8

Abstract

The failure mode of the soil behind the rigid support structure of excavations parallel to tunneling was simulated using the adaptive finite-element limit analysis method. This study showed the effects of tunnel diameter, tunnel construction clear spacing, excavation insertion ratio, and soil strength on the failure mode of the soil. Based on the simulated results obtained from finite-element software, a stress field was constructed for the portion above the horizontal plane at the bottom of the excavation support structure. Three types of boundary value problems were solved based on different regional divisions. Eventually, the stress state at any point within the plastic zone was calculated, providing the active earth pressure on the support structure adjacent to the tunnel during its construction. A comparison between the stress characteristic method calculation results and the finite-element simulation results showed consistency, confirming the efficiency and accuracy of the stress characteristic method in calculating the earth pressure on the support structure of excavations parallel to tunneling.

Get full access to this article

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

Data Availability Statement

All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors gratefully acknowledge financial support from the Fujian Transportation Science and Technology Project (Grant No. 202228).

Notation

The following symbols are used in this paper:
B
excavation width;
c
cohesion of the soil;
D
tunnel diameter;
d
tunnel burial depth;
H
excavation depth;
h
embedment depth of the support structure;
m
height of the support structure;
N
excavation insertion ratio;
q
distributed load;
S
tunnel construction clear spacing;
X
body force in the x-direction;
Z
body force in the z-direction;
α
angle between the coordinate x-axis of the soil element and the horizontal line;
γ
unit weight of the soil;
θ
angle made by major principal stress in a counterclockwise sense with the x-axis;
ζ
relaxation coefficient;
σ
distance on the Mohr stress diagram between the center of the Mohr circle and a point where Coulomb’s linear failure envelope intersects the σ-axis; and
φ
friction angle of the soil.

References

Chen, F. Q., H. B. Chen, Y. X. Wu, D. B. Zhang, and Y. J. Lin. 2022a. “Numerical and analytical study on active earth pressure against inverted T-type retaining walls rotating about the base.” Acta Geotech. 18: 2198–2216.
Chen, F.-Q., H.-B. Chen, L. Xu, and L.-B. Lin. 2022b. “Seismic pseudo-static active earth pressure of narrow granular backfill against an inverted T-type retaining wall under translational mode.” Soil Dyn. Earthquake Eng. 152: 107018. https://doi.org/10.1016/j.soildyn.2021.107018.
Chen, H.-B., F.-Q. Chen, and Y.-J. Lin. 2022c. “Slip-line solution to earth pressure of narrow backfill against retaining walls on yielding foundations.” Int. J. Geomech. 22 (5): 04022051. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002356.
Du, D., D. Dias, and X. L. Yang. 2018. “Analysis of earth pressure for shallow square tunnels in anisotropic and non-homogeneous soils.” Comput. Geotech. 104: 226–236. https://doi.org/10.1016/j.compgeo.2018.08.022.
Hu, X., W. Fu, S. Wu, Y. Fang, J. Wang, and C. He. 2021. “Numerical study on the tunnel stability in granular soil using DEM virtual air bag model.” Acta Geotech. 16 (10): 3285–3300. https://doi.org/10.1007/s11440-020-01130-4.
Huang, X., H. F. Schweiger, and H. Huang. 2013. “Influence of deep excavations on nearby existing tunnels.” Int. J. Geomech. 13 (2): 170–180. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000188.
Kotter, F. 1903. “Die bestimmung des drucks an gekrummten gleitflachen, eine aufgabe aus der Lehre vom Erddruck.” In Sitzungsberichte der akademie der wissenschaften, edited by Müller-Breslau, 229–233. Berlin: Königlich Preussische Akademie der Wissenschaften.
Li, M. G., H. B. Chen, J. J. Chen, and T. Lin. 2023a. “Discrete element analysis and analytical method on failure mechanism of retaining structures with narrow granular backfill.” Int. J. Numer. Anal. Methods Geomech. 48 (2): 629–652. https://doi.org/10.1002/nag.3655.
Li, M.-G., H.-B. Chen, J.-J. Chen, and T. Lin. 2023b. “Semianalytical solution for earth pressure of narrow granular backfill with a log-spiral failure surface behind retaining walls under translational mode.” Int. J. Geomech. 23 (9): 04023151. https://doi.org/10.1061/IJGNAI.GMENG-8335.
Li, X. X., Z. H. Yang, and H. Chen. 2014. “Influences of construction of side-crossing shield tunnel on adjacent pile foundation.” Tunneling Underground Constr. 242: 353–362. https://doi.org/10.1061/9780784413449.035.
Mabe Fogang, P., Y. Liu, J. Zhao, and K. I. Azeuda Ndonfack. 2022. “Soil deformation around a cylindrical cavity under drained conditions: Theoretical analysis.” Adv. Civ. Eng. 2022: 4127660. https://doi.org/10.1155/2022/4127660.
Mabe Fogang, P., Y. Liu, J.-L. Zhao, T. A. Ka, and S. Xu. 2023. “Analytical prediction of tunnel deformation beneath an inclined plane: Complex potential analysis.” Appl. Sci. 13 (5): 3252. https://doi.org/10.3390/app13053252.
Nandi, S., G. Santhoshkumar, and P. Ghosh. 2021. “Development of limiting soil slope profile under seismic condition using slip line theory.” Acta Geotech. 16 (11): 3517–3531. https://doi.org/10.1007/s11440-021-01251-4.
Patel, S., and K. Deb. 2020. “Study of active earth pressure behind a vertical retaining wall subjected to rotation about the base.” Int. J. Geomech. 20 (4): 04020028. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001639.
Peng, M. X. 2011. “Slip-line solution to passive earth pressure on retaining walls.” Chin. J. Geotech. Eng. 33 (3): 460.
Pham, V. V., N. A. Do, D. Dias, C. T. Nguyen, and V. K. Dang. 2023. “Sub-rectangular tunnel behaviour under static loading.” Transp. Infrastruct. Geotechnol. 10 (3): 488–503. https://doi.org/10.1007/s40515-022-00230-w.
Potts, D. M., L. Zdravković, T. I. Addenbrooke, K. G. Higgins, and N. Kovačević. 2001. Finite element analysis in geotechnical engineering: Application. London: Thomas Telford.
Santhoshkumar, G., and P. Ghosh. 2020. “Seismic stability of a broken-back retaining wall using adaptive collapse mechanism.” Int. J. Geomech. 20 (9): 04020154. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001786.
Santhoshkumar, G., P. Ghosh, and A. Murakami. 2019. “Seismic active resistance of a tilted cantilever retaining wall considering adaptive failure mechanism.” Int. J. Geomech. 19 (8): 04019086. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001470.
Sokolowski. 1956. Statics of loose media. Moscow: Geological Publishing House.
Vo, T., and A. R. Russell. 2017. “Interaction between retaining walls and unsaturated soils in experiments and using slip line theory.” J. Eng. Mech. 143 (4): 04016120. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001187.
Wan, T., P. Li, H. Zheng, and M. Zhang. 2019. “An analytical model of loosening earth pressure in front of tunnel face for deep-buried shield tunnels in sand.” Comput. Geotech. 115: 103170. https://doi.org/10.1016/j.compgeo.2019.103170.
Wang, Y., H.-B. Chen, G.-P. Jiang, and F.-Q. Chen. 2023. “Slip-line solution for the active earth pressure of narrow and layered backfills against inverted T-type retaining walls rotating about the base.” Int. J. Geomech. 23 (5): 04023044. https://doi.org/10.1061/IJGNAI.GMENG-7866.
Xu, L., H.-B. Chen, F.-Q. Chen, Y.-J. Lin, and C. Lin. 2022. “An experimental study of the active failure mechanism of narrow backfills installed behind rigid retaining walls conducted using Geo-PIV.” Acta Geotech. 17 (9): 4051–4068. https://doi.org/10.1007/s11440-021-01438-9.
Zhang, Y.-B., F.-Q. Chen, Y.-J. Lin, and H.-B. Chen. 2022. “Active earth pressure of narrow backfill against inverted T-type retaining walls rotating about the heel.” KSCE J. Civ. Eng. 26 (4): 1723–1739. https://doi.org/10.1007/s12205-022-1294-8.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 8August 2024

History

Received: Sep 15, 2023
Accepted: Feb 13, 2024
Published online: Jun 13, 2024
Published in print: Aug 1, 2024
Discussion open until: Nov 13, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

College of Civil Engineering, Fuzhou Univ., No. 2, Xueyuan Rd., Fuzhou 350116, China. ORCID: https://orcid.org/0009-0004-0981-2803. Email: [email protected]
Associate Professor, College of Civil Engineering, Fuzhou Univ., No. 2, Xueyuan Rd., Fuzhou 350116, China (corresponding author). ORCID: https://orcid.org/0000-0002-3119-6494. Email: [email protected]
College of Civil Engineering, Fuzhou Univ., No. 2, Xueyuan Rd., Fuzhou 350116, China. Email: [email protected]
Professor, College of Civil Engineering, Fuzhou Univ., No. 2, Xueyuan Rd., Fuzhou 350116, China. ORCID: https://orcid.org/0000-0002-5583-3734. 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