Technical Papers
Nov 21, 2022

Analytical Stability Analysis of Rainfall-Infiltrated Slopes Based on the Green–Ampt Model

Publication: International Journal of Geomechanics
Volume 23, Issue 2

Abstract

Rainfall infiltration can alter the pore-water pressure and decrease matric suction, which can lead to slope instability and landslides. Most of the previous numerical studies conducted on rain infiltration have assumed a two-dimensional (2D) failure mechanism, which neglects the three-dimensional (3D) characteristics of slopes. An analytical assessment framework was developed using the upper-bound theorem of limit analysis to determine the factor of safety and failure pattern in the case of a 3D vertical cut slope under diverse rainfall situations combined with the unsaturated soil mechanics. The Green–Ampt model was adopted to depict the infiltration process and the progression of the wetting front into the soil. The slope factor of safety was determined using the energy balance equation by adopting the strength reduction approach. The validity of the framework was verified using the numerical simulation method. The effects of duration, intensity, and patterns of rainfall and the 3D traits of slope on the slope failure pattern and stability were determined. A set of design charts was included for the preliminary design. The present study quantitatively determines the stability of slopes susceptible to rainfall infiltration.

Get full access to this article

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

Acknowledgments

This work was supported by the National Key R&D Program of China (2022YFC3004304), the National Natural Science Foundation of China (52208327), and the General research projects of Beijing Municipal Education Commission (No. KM202010005030), the financial support are greatly appreciated.

References

Ali, A., J. S. Huang, A. V. Lyamin, S. W. Sloan, and M. J. Cassidy. 2014. “Boundary effects of rainfall-induced landslides.” Comput. Geotech. 61: 341–354. https://doi.org/10.1016/j.compgeo.2014.05.2019.
Bordoni, M., C. Meisina, R. Valentino, N. Lu, M. Bittelli, and S. Chersich. 2015. “Hydrological factors affecting rainfall-induced shallow landslides: From the field monitoring to a simplified slope stability analysis.” Eng. Geol. 193: 19–37. https://doi.org/10.1016/j.enggeo.2015.04.006.
Casini, F., V. Serri, and S. M. Springman. 2013. “Hydromechanical behaviour of a silty sand from a steep slope triggered by artificial rainfall: From unsaturated to saturated conditions.” Can. Geotech. J. 50 (1): 28–40. https://doi.org/10.1139/cgj-2012-0095.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Chinkulkijniwat, A., S. Yubonchit, S. Horpibulsuk, C. Jothityangkoon, C. Jeeptaku, and A. Arulrajah. 2016. “Hydrological responses and stability analysis of shallow slopes with cohesionless soil subjected to continuous rainfall.” Can. Geotech. J. 53 (12): 2001–2013. https://doi.org/10.1139/cgj-2016-0143.
Conte, E., and A. Troncone. 2012. “A method for the analysis of soil slips triggered by rainfall.” Géotechnique 62 (3): 187–192. https://doi.org/10.1680/geot.8.P.075.
Gao, Y. F., D. Zhu, F. Zhang, G. H. Lei, and H. Qin. 2014. “Stability analysis of three-dimensional slopes under water drawdown conditions.” Can. Geotech. J. 51 (11): 1355–1364. https://doi.org/10.1139/cgj-2013-0448.
Green, W. H., and C. A. Ampt. 1911. “Studies on soil physics: Flow of air and water through soils.” J. Agric. Sci. 4: 1–24. https://doi.org/10.1139/cgj-2013-0448.
Huang, W. G. 2017. “Stability of unsaturated soil slopes under rainfall and seismic loading.” Ph.D. thesis, School of Civil and Environmental Engineering, Nanyang Technological Univ.
Huang, W. G., E. C. Leong, and H. Rahardjo. 2018. “Upper-bound limit analysis of unsaturated soil slopes under rainfall.” J. Geotech. Geoenviron. Eng. 144 (9): 04018066. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001946.
Huang, R. Q., and L. Z. Wu. 2012. “Analytical solutions to 1-D horizontal and vertical water infiltration in saturated/unsaturated soils considering time-varying rainfall.” Comput. Geotech. 39: 66–72. https://doi.org/10.1016/j.compgeo.2011.08.008.
Lee, M. L., N. Gofar, and H. Rahardjo. 2009. “A simple model for preliminary evaluation of rainfall-induced slope instability.” Eng. Geol. 108 (3–4): 272–285. https://doi.org/10.1016/j.enggeo.2009.06.011.
Lu, N., and J. Godt. 2008. “Infinite slope stability under steady unsaturated seepage conditions.” Water Resour. Res. 44: W11404. https://doi.org/10.1029/2008WR006976.
Lu, N., J. W. Godt, and D. T. Wu. 2010. “A closed-form equation for effective stress in unsaturated soil.” Water Resour. Res. 46: W05515. https://doi.org/10.1029/2009WR008646.
Masoudian, M. S., M. A. H. Afrapolic, A. Tasallotid, and A. M. Marshall. 2019. “A general framework for coupled hydro-mechanical modelling of rainfall induced instability in unsaturated slopes with multivariate random fields.” Comput. Geotech. 115: 103162. https://doi.org/10.1016/j.compgeo.2019.103162.
Michalowski, R. L., and A. Drescher. 2009. “Three-dimensional stability of slopes and excavations.” Geotechnique 59 (10): 839–850. https://doi.org/10.1680/geot.8.P.136.
Oh, S., and N. Lu. 2015. “Slope stability analysis under unsaturated conditions: Case studies of rainfall-induced failure of cut slopes.” Eng. Geol. 184: 96–103. https://doi.org/10.1016/j.enggeo.2014.11.007.
Qin, C. B., Y. Y. Li, J. Yu, S. C. Chian, and H. L. Liu. 2022. “Closed-form solutions for collapse mechanisms of tunnel crown in saturated non-uniform rock surrounds.” Tunnelling Underground Space Technol. 126: 104529. https://doi.org/10.1016/j.tust.2022.104529.
Sung, E. C. 2016. “Stability analysis of unsaturated soil slopes considering water–air flow caused by rainfall infiltration.” Eng. Geol. 211: 184–197. https://doi.org/10.1016/j.enggeo.2016.07.008.
Tang, G. P., J. S. Huang, D. C. Sheng, and S. W. Sloan. 2018. “Stability analysis of unsaturated soil slopes under random rainfall patterns.” Eng. Geol. 245: 322–332. https://doi.org/10.1016/j.enggeo.2018.09.013.
Vahedifard, F., D. Leshchinsky, K. Mortezaei, and N. Lu. 2016. “Effective stress-based limit-equilibrium analysis for homogeneous unsaturated slopes.” Int. J. Geomech. 16 (6): D4016003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000554.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Xu, J. S., and X. L. Yang. 2018. “Seismic stability analysis and charts of a 3D rock slope in Hoek–Brown media.” Int. J. Rock Mech. Min. Sci. 112: 64–76. https://doi.org/10.1016/j.ijrmms.2018.10.005.
Yang, X. L., and F. Huang. 2011. “Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion.” Tunnelling Underground Space Technol. 26 (6): 686–691. https://doi.org/10.1016/j.tust.2011.05.008.
Yang, K. H., J. N. Thuo, V. D. A. Huynhc, T. H. Nguyend, and F. H. M. Portelinhaek. 2018. “Numerical evaluation of reinforced slopes with various backfill reinforcement-drainage systems subject to rainfall infiltration.” Comput. Geotech. 96: 25–39. https://doi.org/10.1016/j.compgeo.2017.10.012.
Yang, X. L., and J. M. Wang. 2011. “Ground movement prediction for tunnels using simplified procedure.” Tunnelling Underground Space Technol. 26 (3): 462–471. https://doi.org/10.1016/j.tust.2011.01.002.
Yang, X. L., and J. H. Yin. 2004. “Slope stability analysis with nonlinear failure criterion.” J. Eng. Mech. 130 (3): 267–273. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:3(267).
Zhang, J., H. W. Huang, L. M. Zhang, H. H. Zhu, and B. Shi. 2014. “Probabilistic prediction of rainfall-induced slope failure using a mechanics-based model.” Eng. Geol. 168: 129–140. https://doi.org/10.1016/j.enggeo.2013.11.005.
Zhang, L. L., J. H. Li, X. Li, J. Zhang, and H. Zhu. 2016. Rainfall-induced soil slope failure: Stability analysis and probabilistic assessment. Shanghai, China: Shanghai Jiaotong Univ. Press.

Information & Authors

Information

Published In

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

History

Received: Jul 26, 2021
Accepted: Aug 29, 2022
Published online: Nov 21, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 21, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Jingshu Xu
Faculty of Architecture, Civil and Transportation Engineering, Beijing Univ. of Technology, Beijing 100124, China.
Xiuli Du
Professor, Faculty of Architecture, Civil and Transportation Engineering, Beijing Univ. of Technology, Beijing 100124, China.
Xu Zhao
Professor, Faculty of Architecture, Civil and Transportation Engineering, Beijing Univ. of Technology, Beijing 100124, China.
Professor, Faculty of Architecture, Civil and Transportation Engineering, Beijing Univ. of Technology, Beijing 100124, China (corresponding author). ORCID: https://orcid.org/0000-0002-8400-2374. 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