Abstract
The issue of slope instability is common in the South Gippsland area of Victoria, Australia. To improve the current slope instability circumstance, an integrated slope stabilization structure, which involves two methods, the geogrid-reinforced soil retaining wall with gabion basket facing and the laterally loaded embedded piles, has been adopted. The I-beam, which is embedded in the laterally loaded piles, is soldered to the horizontal rail to buttress the retaining structure. To evaluate the effectiveness of this integrated structure under seismic conditions, the two-dimensional finite element limit analysis approach is adopted for pseudo-static analysis of slope stability. The behavior of the gabion basket and soil is described by the Mohr-Coulomb yield criterion. With the assistance of upper and lower bounds theorems within the limit analysis method, the highest lower bound and the lowest upper bound can be obtained to narrow the range of slope stability subjected to seismic conditions. The parametric study related to geogrid embedment length and pile embedment length has been conducted to evaluate the seismic resistance of this integrated structure. The numerical result indicates that this integrated slope stabilization structure makes a considerable improvement to the seismic resistance of the slope.
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Abbreviations
- \(\:{c}^{{\prime\:}}\) :
-
Effective cohesion
- \(\:{c}_{int}^{{\prime\:}}\) :
-
Interface cohesion
- \(\:{c}_{red}\) :
-
Reduced cohesion
- \(\:{c}_{rf}\) :
-
Reduction factor
- \(\:{g}_{h}\) :
-
Horizontal seismic acceleration
- \(\:{g}_{v}\) :
-
Gravitational acceleration
- \(\:{k}_{c}\) :
-
Critical seismic coefficient
- \(\:{\left(\text{t}\text{a}\text{n}{\phi\:}^{{\prime\:}}\right)}_{red}\) :
-
Reduced friction angle
- \(\:{\sigma\:}_{1}\) :
-
Major principal stress
- \(\:{\sigma\:}_{3}\) :
-
Minor principal stress
- \(\:{\sigma\:}_{n}^{{\prime\:}}\) :
-
Effective normal stress
- \(\:{\phi\:}^{{\prime\:}}\) :
-
Effective friction angle
- \(\:{\phi\:}_{int}^{{\prime\:}}\) :
-
Interface friction angle
- \(\:{\phi\:}_{min}^{{\prime\:}}\) :
-
Minimum friction angle
References
Argyroudis, S. A., Mitoulis, S. Α., Winter, M. G. & Kaynia, A. M. Fragility of transport assets exposed to multiple hazards: State-of-the-art review toward infrastructural resilience. Reliab. Eng. Syst. Safe. 191, 106567. https://doi.org/10.1016/j.ress.2019.106567 (2019).
Dai, T., Shi, H. & Xiao, S. Analysis Method for Lateral Earth Pressure on Multi-row Long Piles in Soil Slopes Considering Depth of Rainfall Infiltration. Int. J. Civ. Eng. 3, 1–20. https://doi.org/10.1007/s40999-025-01186-x (2026).
Wang, Y., Smith, J. V. & Nazem, M. Optimisation of a slope-stabilisation system combining gabion-faced geogrid-reinforced retaining wall with embedded piles. KSCE J. Civ. Eng. 25 (12), 4535–4551. https://doi.org/10.1007/s12205-021-1300-6 (2021).
Anastasopoulos, I., Georgarakos, T., Georgiannou, V., Drosos, V. & Kourkoulis, R. Seismic performance of bar-mat reinforced-soil retaining wall: Shaking table testing versus numerical analysis with modified kinematic hardening constitutive model. Soil. Dyn. Earthq. Eng. 30 (10), 1089–1105. https://doi.org/10.1016/j.soildyn.2010.04.020 (2010).
Bathurst, R. J. & Hatami, K. Seismic response analysis of a geosynthetic-reinforced soil retaining wall. Geosynth Int. 5 (1–2), 127–166. https://doi.org/10.1680/gein.5.0117 (1998).
Ausilio, E., Conte, E. & Dente, G. Seismic stability analysis of reinforced slopes. Soil. Dyn. Earthq. Eng. 19 (3), 159–172. https://doi.org/10.1016/50267-7261(00)00005-1 (2000).
Lu, L., Chen, B., Liu, P., Wang, Z. & Arai, K. Seismic time-history analysis of block-faced reinforced-soil retaining wall based on pseudo-dynamic method. Geotext. Geomembranes. 52 (4), 494–510. https://doi.org/10.1016/j.geotexmem.2024.01.004 (2024).
Meng, X., Xiao, C., Gao, S., Ding, L. & Cao, Y. Experimental Study on Performance of Two-Tiered Geogrid-Reinforced Soil Retaining Walls with Different Wall Height Ratios Under Cyclic Loading. Int. J. Civ. Eng. 17, 1–8. https://doi.org/10.1007/s40999-025-01107-y (2025).
Fan, X. et al. Experimental and numerical study of braced retaining piles with asymmetrical excavation. Int. J. Civ. Eng. 22 (8), 1339–1356. https://doi.org/10.1007/s40999-024-00959-0 (2024).
Koseki, J. et al. Shaking and tilt table tests of geosynthetic-reinforced soil and conventional-type retaining walls. Geosynth Int. 5 (1–2), 73–96. https://doi.org/10.1680/gein.5.0115 (1998).
El-Emam, M. M. & Bathurst, R. J. Influence of reinforcement parameters on the seismic response of reduced-scale reinforced soil retaining walls. Geotext. Geomembranes. 25 (1), 33–49. https://doi.org/10.1016/j.geotexmem.2006.09.001 (2007).
Wang, L., Chen, G. & Chen, S. Experimental study on seismic response of geogrid reinforced rigid retaining walls with saturated backfill sand. Geotext. Geomembranes. 43 (1), 35–45. https://doi.org/10.1016/j.geotexmem.2014.11.006 (2015).
Ling, H. I., Yang, S., Leshchinsky, D., Liu, H. & Burke, C. Finite-element simulations of full-scale modular-block reinforced soil retaining walls under earthquake loading. J. Eng. Mech. 136 (5), 653–661. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000108 (2010).
Liu, H., Yang, G. & Ling, H. I. Seismic response of multi-tiered reinforced soil retaining walls. Soil. Dyn. Earthq. Eng. 61, 1–12. https://doi.org/10.1016/j.soildyn.2014.01.012 (2014).
Fathipour, H., Payan, M. & Chenari, R. J. Limit analysis of lateral earth pressure on geosynthetic-reinforced retaining structures using finite element and second-order cone programming. Comput. Geotech. 134, 104119. https://doi.org/10.1016/j.compgeo.2021.104119 (2021).
Cai, Z. & Bathurst, R. J. Seismic response analysis of geosynthetic reinforced soil segmental retaining walls by finite element method. Comput. Geotech. 17 (4), 523–546. https://doi.org/10.1016/0266-352X(95)94918-G (1995).
Fan, C., Liu, H., Cao, J. & Ling, H. I. Responses of reinforced soil retaining walls subjected to horizontal and vertical seismic loadings. Soil. Dyn. Earthq. Eng. 129, 105969. https://doi.org/10.1016/j.soildyn.2019.105969 (2020).
Tabesh, A. & Poulos, H. G. Pseudostatic approach for seismic analysis of single piles. J. Geotech. Geoenviron. 127 (9), 757–765. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:9(757) (2001).
Elahi, H., Poulos, H. G., Hajimollaali, H. & Elahi, A. Pseudostatic seismic response analysis of a pile group in a soil slope. Geotech. Geol. Eng. 36, 855–874. https://doi.org/10.1007/s10706-017-0360-3 (2018).
Huang, Y., Xu, X., Liu, J. & Mao, W. Centrifuge modeling of seismic response and failure mode of a slope reinforced by a pile-anchor structure. Soil. Dyn. Earthq. Eng. 131, 106037. https://doi.org/10.1016/j.soildyn.2020.106037 (2020).
Hu, H., Huang, Y., Xiong, M. & Zhao, L. Investigation of seismic behavior of slope reinforced by anchored pile structures using shaking table tests. Soil. Dyn. Earthq. Eng. 150, 106900. https://doi.org/10.1016/j.soildyn.2021.106900 (2021).
Bao, N., Chen, J., Sun, R., Yan, K. & Shi, Z. Seismic response of soil arching in pile-reinforced soil slopes: Insights from shaking table tests. Soil. Dyn. Earthq. Eng. 184, 108852. https://doi.org/10.1016/j.soildyn.2024.108852 (2024).
Adelana, S. M. et al. Controls on species distribution and biogeochemical cycling in nitrate-contaminated groundwater and surface water, southeastern Australia. Sci. Total Environ. 726, 138426. https://doi.org/10.1016/j.scitotenv.2020.138426 (2020).
Brown, A., Allen, T. & Gibson, G. Seismicity and earthquake hazard in Gippsland, Victoria. In: Proceedings of the Australian Earthquake Engineering Society. 1-538 (2001).
Wang, Y. J., Nazem, M. & Smith, J. V. Effect of Dimension Variables on the Behavior of Slopes Stabilized by an Integrated Method Combining Gabion-Faced Geogrid-Reinforced Retaining Wall with Embedded Piles. Int. J. Geosynth Groun. 8 (5), 65. https://doi.org/10.1007/s40891-022-00411-0 (2022).
Sloan, S. W. Lower bound limit analysis using finite elements and linear programming. Intl J. Numer. Anal. Met. 12 (1), 61–77. https://doi.org/10.1002/nag.1610130304 (1989).
Kim, J., Salgado, R. & Lee, J. Stability analysis of complex soil slopes using limit analysis. J. Geotech. Geoenviron. 128 (7), 546–557. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:7(546) (2002).
Griffiths, D. V. & Lane, P. A. Slope stability analysis by finite elements. Geotechnique 49 (3), 387–403. https://doi.org/10.1680/geot.1999.49.3.387 (1999).
Dawson, E. M., Roth, W. H. & Drescher, A. Slope stability analysis by strength reduction. Geotechnique 49 (6), 835–840 https://doi.org/10.1680/geot.1999.49.6.835 (1999).
Krabbenhoft, K., Lyamin, A. & Krabbenhoft, J. Optum computational engineering (OptumG2). Computer software. (2020). Retrieved from https://www.optumce.com
Brumley, J. Slope stability in the Strzelecki Ranges, Victoria. In: (eds Knight, M. J., Minty, E. J. & Smith, R. B.) Case studies in engineering geology, hydrogeology and environmental geology, Australia. Geological Society of Australia, Hornsby, Australia, 127–147. (1983).
Smith, J. Rapid and progressive deterioration of local road assets caused by slope instability in regional Victoria, Australia. 1st international conference on infrastructure failures and consequences, June 16–26, Melbourne, Australia. (2014).
Jiang, Y. & Wang, X. Stress-strain behaviour of gabion in compression test and direct shear test. In: Proceedings of the 3rd International Conference on Transportation Engineering, 1457–1462. (2011). https://doi.org/10.1061/41184(419)241
Jiang, Y. et al. Numerical analysis of field geosynthetic-reinforced retaining walls with secondary reinforcement. Geotechnique 69 (2), 122–132. https://doi.org/10.1680/jgeot.17.P.118 (2019).
Gu, M. et al. Numerical analysis of instrumented mechanically stabilized gabion walls with large vertical reinforcement spacing. Geotext. Geomembranes. 45 (4), 294–306. https://doi.org/10.1016/j.geotexmem.2017.04.002 (2017).
Loukidis, D., Bandini, P. & Salgado, R. Stability of seismically loaded slopes using limit analysis. Geotechnique 53 (5), 463–479. https://doi.org/10.1680/geot.2003.53.5.463 (2003).
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Wang, Y. Numerical evaluation on behavior of an integrated slope stabilization structure under seismic effect. Sci Rep (2026). https://doi.org/10.1038/s41598-026-47573-9
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DOI: https://doi.org/10.1038/s41598-026-47573-9


