Technical Papers
Oct 12, 2019

Bearing Capacity Analysis of Pile-Stabilized Slopes under Steady Unsaturated Flow Conditions

Publication: International Journal of Geomechanics
Volume 19, Issue 12

Abstract

When analyzing slopes stabilized by piles, the soil has been commonly considered dry or saturated, whereas soils are usually unsaturated in practice. Suction stress is caused by positive and negative pore water pressures, changing the strength properties of soils compared with soils without considering it and, consequently, leads to various stability conditions of a slope. In this study, a unified formula is presented for estimating soil-pile pressure in which the effect of suction stress is considered in variably saturated soils, which is an important extension of Ito and Matsui’s classical equation. Under such proposed formulation, an attempt has been made to develop a new method by means of the upper-bound limit analysis for analyzing the capacity of an unsaturated slope with vertical steady unsaturated flow reinforced by piles, and the most critical solutions for the optimal limiting surcharge are obtained by the optimization method. By comparing the results of the proposed method with other theoretical and experimental results in some examples, the method’s feasibility is verified. A numerical study for the parametric effects is also provided in this paper, which shows that the limiting surcharge is largely determined by soil properties, slope geometry, as well as seepage conditions. From an engineering application aspect, cost savings could be possible for the construction of slopes if a proper assessment of the effect of suction stress is completed.

Get full access to this article

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

Acknowledgments

The authors would like to acknowledge the financial support from the National Science Foundation of China under Contract No. 51678230.

References

Abramson, L. W., T. S. Lee, S. Sharma, and G. M. Boyce. 2002. Slope stability and stabilization methods. 2nd ed. New York: Wiley.
Ahmadi, H., and A. Bezuijen. 2018. “Full-scale mechanically stabilized earth (MSE) walls under strip footing load.” Geotext. Geomembr. 46 (3): 297–311. https://doi.org/10.1016/j.geotexmem.2017.12.002.
Alamshahi, S., and N. Hataf. 2009. “Bearing capacity of strip footings on sand slopes reinforced with geogrid and grid-anchor.” Geotext. Geomembr. 27 (3): 217–226. https://doi.org/10.1016/j.geotexmem.2008.11.011.
Bishop, A. W., and N. Morgenstern. 1960. “Stability coefficients for earth slopes.” Géotechnique 10 (4): 129–153. https://doi.org/10.1680/geot.1960.10.4.129.
Broms, B. B. 1964. “Lateral resistance of piles in cohesionless soils.” J. Soil Mech. Found. Div. 90 (3): 123–156.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Cheng, Y. M., and S. K. Au. 2005. “Solution of the bearing capacity problem by the slip line method.” Can. Geotech. J. 42 (4): 1232–1241. https://doi.org/10.1139/t05-037.
Deng, D. P., L. Li, and L. H. Zhao. 2017. “Limit-equilibrium method for reinforced slope stability and optimum design of antislide micropile parameters.” Int. J. Geomech. 17 (2): 06016019. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000722.
El Sawwaf, M. A. 2005. “Strip footing behavior on pile and sheet pile-stabilized sand slope.” J. Geotech. Geoenviron. Eng. 131 (6): 705–715. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:6(705).
Fredlund, D. G., and N. R. Morgenstern. 1977. “Stress state variables for unsaturated soils.” J. Geotech. Eng. Div. 103 (5): 447–466.
Fredlund, D. G., A. Xing, M. D. Fredlund, and S. L. Barbour. 1996. “The relationship of the unsaturated soil shear to the soil-water characteristic curve.” Can. Geotech. J. 33 (3): 440–448. https://doi.org/10.1139/t96-065.
Griffiths, D. V., and N. Lu. 2005. “Unsaturated slope stability analysis with steady infiltration or evaporation using elasto-plastic finite elements.” Int. J. Numer. Anal. Methods Geomech. 29 (3): 249–267. https://doi.org/10.1002/nag.413.
Hassiotis, S., J. L. Chameau, and M. Gunaratne. 1997. “Design method for stabilization of slopes with piles.” J. Geotech. Geoenviron. Eng. 123 (4): 314–323. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:4(314).
He, Y., H. Hazarika, N. Yasufuku, and Z. Han. 2015a. “Evaluating the effect of slope angle on the distribution of the soil–pile pressure acting on stabilizing piles in sandy slopes.” Comput. Geotech. 69 (Sep): 153–165. https://doi.org/10.1016/j.compgeo.2015.05.006.
He, Y., H. Hazarika, N. Yasufuku, Z. Han, and Y. Li. 2015b. “Three-dimensional limit analysis of seismic displacement of slope reinforced with piles.” Soil. Dyn. Earthquake Eng. 77 (Oct): 446–452. https://doi.org/10.1016/j.soildyn.2015.06.015.
Huang, W., 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.
Ito, T., and T. Matsui. 1975. “Methods to estimate lateral force acting on stabilizing piles.” Soils Found. 15 (4): 43–59. https://doi.org/10.3208/sandf1972.15.4_43.
Kourkoulis, R., F. Gelagoti, L. Anastasopoulos, and G. Gazetas. 2012. “Hybrid method for analysis and design of slope stabilizing piles.” J. Geotech. Geoenviron. Eng. 138 (1): 1–14. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000546.
Leshchinsky, B. 2015. “Bearing capacity of footings placed adjacent to cϕ slopes.” J. Geotech. Geoenviron. Eng. 141 (6): 04015022. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001306.
Li, N., and J. C. Xu. 2015. “Development and application of three-dimensional rainfall infiltration module based on ABAQUS.” [In Chinese.] Chin. J. Geotech. Eng. 37 (4): 667–674. https://doi.org/10.11779/CJGE201504012.
Li, X., S. He, and Y. Wu. 2010. “Seismic displacement of slopes reinforced with piles.” J. Geotech. Geoenviron. Eng. 136 (6): 880–884. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000296.
Li, Z. W., and X. L. Yang. 2018. “Stability of 3D slope under steady unsaturated flow condition.” Eng. Geol. 242 (Aug): 150–159. https://doi.org/10.1016/j.enggeo.2018.06.004.
Lu, N. 2008. “Is matric suction a stress variable?” J. Geotech. Geoenviron. Eng. 134 (7): 899–905. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:7(899).
Lu, N., and J. Godt. 2008. “Infinite slope stability under steady unsaturated seepage conditions.” Water Resour. Res. 44 (11): 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 (5): W05515. https://doi.org/10.1029/2009WR008646.
Lu, N., T.-H. Kim, S. Sture, and W. J. Likos. 2009. “Tensile strength of unsaturated sand.” J. Geotech. Geoenviron. Eng. 135 (12): 1410–1419. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000054.
Lu, N., and W. J. Likos. 2006. “Suction stress characteristic curve for unsaturated soil.” J. Geotech. Geoenviron. Eng. 132 (2): 131–142. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(131).
Michalowski, R. L. 2013. “Stability assessment of slopes with cracks using limit analysis.” Can. Geotech. J. 50 (10): 1011–1021. https://doi.org/10.1139/cgj-2012-0448.
Michalowski, R. L., and S. S. Nadukuru. 2013. “Three-dimensional limit analysis of slopes with pore pressure.” J. Geotech. Geoenviron. Eng. 139 (9): 1604–1610. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000867.
Nian, T. K., G. Q. Chen, M. T. Luan, Q. Yang, and D. F. Zheng. 2008. “Limit analysis of the stability of slopes reinforced with piles against landslide in nonhomogeneous and anisotropic soils.” Can. Geotech. J. 45 (8): 1092–1103. https://doi.org/10.1139/T08-042.
Pan, Q., and D. Dias. 2016. “Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach.” Int. J. Geomech. 16 (3): 04015076. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000569.
Qin, C. B., and S. C. Chian. 2018a. “Bearing capacity analysis of a saturated non-uniform soil slope with discretization-based kinematic analysis.” Comput. Geotech. 96 (Apr): 246–257. https://doi.org/10.1016/j.compgeo.2017.11.003.
Qin, C. B., and S. C. Chian. 2018b. “Seismic bearing capacity of non-uniform soil slopes using discretization-based kinematic analysis considering Rayleigh waves.” Soil. Dyn. Earthquake Eng. 109 (Jun): 23–32. https://doi.org/10.1016/j.soildyn.2018.02.017.
Qin, C., and S. C. Chian. 2018c. “Seismic ultimate bearing capacity of a Hoek-Brown rock slope using discretization-based kinematic analysis and pseudodynamic methods.” Int. J. Geomech. 18 (6): 04018054. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001147.
Sharafi, H., and Y. Sojoudi. 2016. “Experimental and numerical study of pile-stabilized slopes under surface load conditions.” Int. J. Civ. Eng. 14 (4): 221–232. https://doi.org/10.1007/s40999-016-0017-2.
Shiau, J. S., R. S. Merifield, A. V. Lyamin, and S. W. Sloan. 2011. “Undrained stability of footings on slopes.” Int. J. Geomech. 11 (5): 381–390. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000092.
Springman, S. M., C. Jommi, and P. Teysseire. 2003. “Instability on moraine slopes induced by loss of suction: A case history.” Geotechnique 53 (1): 3–10. https://doi.org/10.1680/geot.2003.53.1.3.
Turker, E., E. Sadoglu, E. Cure, and B. A. Uzuner. 2014. “Bearing capacity of eccentrically loaded strip footings close to geotextile-reinforced sand slope.” Can. Geotech. J. 51 (8): 884–895. https://doi.org/10.1139/cgj-2014-0055.
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.
Vahedifard, F., and J. D. Robinson. 2016. “Unified method for estimating the ultimate bearing capacity of shallow foundations in variably saturated soils under steady flow.” J. Geotech. Geoenviron. Eng. 142 (4): 04015095. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001445.
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.
Viratjandr, C., and R. L. Michalowski. 2006. “Limit analysis of submerged slopes subjected to water drawdown.” Can. Geotech. J. 43 (8): 802–814. https://doi.org/10.1139/t06-042.
Vo, T., and A. R. Russell. 2017. “Stability charts for curvilinear slopes in unsaturated soils.” Soils Found. 57 (4): 543–556. https://doi.org/10.1016/j.sandf.2017.06.005.
Wei, W. B., and Y. M. Cheng. 2009. “Strength reduction analysis for slope reinforced with one row of piles.” Comput. Geotech. 36 (7): 1176–1185. https://doi.org/10.1016/j.compgeo.2009.05.004.
Won, J., K. You, S. Jeong, and S. Kim. 2005. “Coupled effects in stability analysis of pile-slope systems.” Comput. Geotech. 32 (4): 304–315. https://doi.org/10.1016/j.compgeo.2005.02.006.
Xu, J., and F. Niu. 2014. “Safety factor calculation of soil slope reinforced with piles based on Hill’s model theory.” Environ. Earth Sci. 71 (8): 3423–3428. https://doi.org/10.1007/s12665-013-2730-3.
Xu, J. S., and X. L. Yang. 2018. “Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown.” Eng. Geol. 237 (Apr): 102–115. https://doi.org/10.1016/j.enggeo.2018.02.010.
Yuan, S., and J. Du. 2018. “Effective stress-based upper bound limit analysis of unsaturated soils using the weak form quadrature element method.” Comput. Geotech. 98 (Jun): 172–180. https://doi.org/10.1016/j.compgeo.2018.02.008.
Zhao, L. H., X. Cheng, Y. Zhang, L. Li, and D. J. Li. 2016. “Stability analysis of seismic slopes with cracks.” Comput. Geotech. 77 (Jul): 77–90. https://doi.org/10.1016/j.compgeo.2016.04.007.
Zheng, G., S. Y. Peng, C. W. W. Ng, and Y. Diao. 2012. “Excavation effects on pile behaviour and capacity.” Can. Geotech. J. 49 (12): 1347–1356. https://doi.org/10.1139/t2012-095.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 19Issue 12December 2019

History

Received: Dec 13, 2018
Accepted: Apr 16, 2019
Published online: Oct 12, 2019
Published in print: Dec 1, 2019
Discussion open until: Mar 12, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, College of Civil Engineering, Hunan Univ., Changsha, Hunan 410082, PR China. Email: [email protected]
Associate Professor, College of Civil Engineering, Hunan Univ., Changsha, Hunan 410082, PR China (corresponding author). ORCID: https://orcid.org/0000-0002-0773-4061. 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.

Cited by

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