Risk Assessment of Footings on Slopes in Spatially Variable Soils Considering Random Field Rotation
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 3
Abstract
This paper presents the risk assessment of a footing-on-slope system that uses the random finite element method. The effect of a soil autocorrelation structure on the probability of failure and the associated risk is quantified. In this study, the anisotropic spatial variability of the soil is described with a major principal scale of fluctuation, a minor scale of fluctuation, and a rotation angle, and the spatial variability is modeled using the rotated random field. The generated random field is mapped onto a finite element model, which can quantify the bearing capacity of a footing on a slope. Further, the K-means cluster method is adopted to calculate the sliding area of the soil mass. Following Monte Carlo simulation, the probability of failure and the corresponding risk for footings on slopes are evaluated for various soil spatial variability scenarios. The results show the importance of considering the anisotropy of soils when attempting to identify the worst-case scenarios for risk.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
References
Chen, E. J., Y. Liu, and F. H. Lee. 2016. “A statistical model for the unconfined compressive strength of deep mixed columns.” Géotechnique 66 (5): 351–365. https://doi.org/10.1680/jgeot.14.P.162.
Chen, L. L., W. G. Zhang, F. Y. Chen, D. M. Gu, L. Wang, and Z. Y. Wang. 2022. “Probabilistic assessment of slope failure considering anisotropic spatial variability of soil properties.” Geosci. Front. 13 (3): 101371. https://doi.org/10.1016/j.gsf.2022.101371.
Cheng, H., J. Chen, R. Chen, G. Chen, and Y. Zhong. 2018. “Risk assessment of slope failure considering the variability in soil properties.” Comput. Geotech. 103 (Nov): 61–72. https://doi.org/10.1016/j.compgeo.2018.07.006.
Fenton, G. A., and D. V. Griffiths. 2008. Risk assessment in geotechnical engineering. New York: Wiley. https://doi.org/10.1002/9780470284704.
Fenton, G. A., D. V. Griffiths, and M. B. Williams. 2005. “Reliability of traditional retaining wall design.” Géotechnique 55 (1): 55–62. https://doi.org/10.1680/geot.2005.55.1.55.
Griffiths, D. V., and G. A. Fenton. 2001. “Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited.” Géotechnique 51 (4): 351–359. https://doi.org/10.1680/geot.2001.51.4.351.
Griffiths, D. V., R. P. Schiermeyer, J. Huang, and G. A. Fenton. 2009. “Influence of anisotropy and rotation on probabilistic slope stability analysis by RFEM.” In Proc., GeoHalifax, 542–546. Canada: Canadian Geotechnical Society.
Huang, J., A. V. Lyamin, D. V. Griffiths, K. Krabbenhoft, and S. W. Sloan. 2013. “Quantitative risk assessment of landslide by limit analysis and random fields.” Comput. Geotech. 53 (Sep): 60–67. https://doi.org/10.1016/j.compgeo.2013.04.009.
Huang, L., Y. M. Cheng, Y. F. Leung, and L. Li. 2019. “Influence of rotated anisotropy on slope reliability evaluation using conditional random field.” Comput. Geotech. 115 (Nov): 103133. https://doi.org/10.1016/j.compgeo.2019.103133.
Huang, L., Y. M. Cheng, L. Li, and S. Yu. 2021. “Reliability and failure mechanism of a slope with non-stationarity and rotated transverse anisotropy in undrained soil strength.” Comput. Geotech. 132 (Apr): 103970. https://doi.org/10.1016/j.compgeo.2020.103970.
Huang, L., and Y. F. Leung. 2020. “Reliability assessment of slopes with three-dimensional rotated transverse anisotropy in soil properties.” Can. Geotech. J. 58 (9): 1365–1378. https://doi.org/10.1139/cgj-2019-0611.
Li, D. Q., T. Xiao, and Z. J. Cao. 2016. “Enhancement of random finite element method in reliability analysis and risk assessment of soil slopes using subset simulation.” Landslides 13 (2): 293–303. https://doi.org/10.1007/s10346-015-0569-2.
Luo, N., and R. J. Bathurst. 2017. “Reliability bearing capacity analysis of footings on cohesive soil slopes using RFEM.” Comput. Geotech. 89 (Sep): 203–212. https://doi.org/10.1016/j.compgeo.2017.04.013.
Luo, N., and R. J. Bathurst. 2018. “Probabilistic analysis of reinforced slopes using RFEM and considering spatial variability of frictional soil properties due to compaction.” Georisk: Assess. Manage. Risk Eng. Syst. Geohazards 12 (2): 87–108. https://doi.org/10.1080/17499518.2017.1362443.
Luo, N., and Z. Luo. 2021. “Reliability analysis of embedded strip footings in rotated anisotropic random fields.” Comput. Geotech. 138 (Oct): 104338. https://doi.org/10.1016/j.compgeo.2021.104338.
Meyerhof, G. G. 1957. “The ultimate bearing capacity of foundations on slopes.” In Vol. 1 of Proc., 4th Int. Conf. on Soil Mechanics and Foundation Engineering, 384–386. London: Butterworths Scientific Publications.
Naghibi, F., G. A. Fenton, and D. V. Griffiths. 2014. “Serviceability limit state design of deep foundations.” Géotechnique 64 (10): 787–799. https://doi.org/10.1680/geot.14.P.40.
Ng, C. W. W., C. Qu, R. W. M. Cheung, H. Guo, J. Ni, Y. Chen, and S. Zhang. 2021. “Risk assessment of soil slope failure considering copula-based rotated anisotropy random fields.” Comput. Geotech. 136 (Aug): 104252. https://doi.org/10.1016/j.compgeo.2021.104252.
Ray, R., D. Kumar, P. Samui, L. B. Roy, A. T. C. Goh, and W. G. Zhang. 2021. “Application of soft computing techniques for shallow foundation reliability in geotechnical engineering.” Geosci. Front. 12 (1): 375–383. https://doi.org/10.1016/j.gsf.2020.05.003.
Silva, F., T. W. Lambe, and W. A. Marr. 2008. “Probability and risk of slope failure.” J. Geotech. Geoenviron. Eng. 134 (12): 1691–1699. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:12(1691).
Vanmarcke, E. H. 1983. Random fields: Analysis and synthesis. Cambridge, MA: MIT Press.
Viviescas, J. C., Á. J. Mattos, and J. P. Osorio. 2021. “Uncertainty quantification in the bearing capacity estimation for shallow foundations in sandy soils.” Georisk: Assess. Manage. Risk Eng. Syst. Geohazards 15 (3): 182–195. https://doi.org/10.1080/17499518.2020.1753782.
Zhu, H., and L. M. Zhang. 2013. “Characterizing geotechnical anisotropic spatial variations using random field theory.” Can. Geotech. J. 50 (7): 723–734. https://doi.org/10.1139/cgj-2012-0345.
Zhu, H., L. M. Zhang, and T. Xiao. 2019. “Evaluating stability of anisotropically deposited soil slopes.” Can. Geotech. J. 56 (5): 753–760. https://doi.org/10.1139/cgj-2018-0210.
Information & Authors
Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8 • Issue 3 • September 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jan 22, 2022
Accepted: Mar 25, 2022
Published online: May 17, 2022
Published in print: Sep 1, 2022
Discussion open until: Oct 17, 2022
ASCE Technical Topics:
- Anisotropy
- Continuum mechanics
- Deformation (mechanics)
- Disaster risk management
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Footings
- Foundations
- Geomechanics
- Geometry
- Geotechnical engineering
- Mathematics
- Methodology (by type)
- Motion (dynamics)
- Numerical methods
- Probability
- Risk management
- Rotation
- Shallow foundations
- Slopes
- Solid mechanics
- Spatial variability
- Structural mechanics
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