Probabilistic Risk Assessment of unsaturated Slope Failure Considering Spatial Variability of Hydraulic Parameters

Probabilistic risk assessment of slope failure evaluates the slope safety in a quantitative manner, which considers the failure probability and failure consequence simultaneously. However, risk assessment of unsaturated slope accounting for spatially variable soil-water characteristic curve (SWCC) model parameter and saturated hydraulic conductivity has been rarely reported. A probabilistic risk assessment approach is proposed in current study for rationally quantifying the unsaturated slope failure risk with the aid of Monte Carlo (MC) simulation. The SEEP/W and SLOPE/W modules contained in Geostudio software are applied to carry out deterministic analysis, where factor of safety (FS) of the unsaturated slope is calculated by Morgenstern–Price method. The spatially variable hydraulic parameters are characterized by their respective random fields that are transferred from the random void ratio field in this study, rather than generating them separately. The proposed approach is subsequently employed to an unsaturated slope example for exploring the influences of spatially variable void ratio. Results show that the unsaturated slope failure risk is considerably affected by the spatially variable void ratio, and the single exponential autocorrelation function (ACF) popularized in geotechnical engineering tends to underestimate the failure risk in the unsaturated slope risk assessment.

[1]  Li Peng,et al.  Research on progressive failure process of Baishuihe landslide based on Monte Carlo model , 2017, Stochastic Environmental Research and Risk Assessment.

[2]  Dian-Qing Li,et al.  Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method , 2014 .

[3]  Dian-Qing Li,et al.  Enhancement of random finite element method in reliability analysis and risk assessment of soil slopes using Subset Simulation , 2016, Landslides.

[4]  Lei-Lei Liu,et al.  System reliability analysis and risk assessment of a layered slope in spatially variable soils considering stratigraphic boundary uncertainty , 2017 .

[5]  Kok-Kwang Phoon,et al.  Risk and Reliability in Geotechnical Engineering , 2018 .

[6]  Ka-Veng Yuen,et al.  Reliability analysis of soil-water characteristics curve and its application to slope stability analysis , 2012 .

[7]  Yu Wang,et al.  Bayesian model comparison and selection of spatial correlation functions for soil parameters , 2014 .

[8]  D. V. Griffiths,et al.  Quantitative risk assessment of landslide by limit analysis and random fields , 2013 .

[9]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[10]  Renpeng Chen,et al.  Risk assessment of slope failure considering the variability in soil properties , 2018, Computers and Geotechnics.

[11]  Wengang Zhang,et al.  Bayesian Approach for Predicting Soil-Water Characteristic Curve from Particle-Size Distribution Data , 2019, Energies.

[12]  Siu-Kui Au,et al.  Determination of site-specific soil-water characteristic curve from a limited number of test data – A Bayesian perspective , 2017 .

[13]  Harianto Rahardjo,et al.  PERMEABILITY FUNCTIONS FOR UNSATURATED SOILS , 1997 .

[14]  Marcelo Sánchez,et al.  Rainfall-induced differential settlements of foundations on heterogeneous unsaturated soils , 2013 .

[15]  D. V. Griffiths,et al.  Simplified quantitative risk assessment of rainfall-induced landslides modelled by infinite slopes , 2014 .

[16]  Harianto Rahardjo,et al.  Unsaturated Soil Mechanics in Engineering Practice: Fredlund/Unsaturated Soil Mechanics , 2012 .

[17]  Filippo Catani,et al.  Displacement prediction of step-like landslide by applying a novel kernel extreme learning machine method , 2018, Landslides.

[18]  Jie Zhang,et al.  Geotechnical reliability analysis with limited data: Consideration of model selection uncertainty , 2014 .

[19]  K. Phoon,et al.  Comparison between Karhunen-Loève expansion and translation-based simulation of non-Gaussian processes , 2007 .

[20]  H. Rahardjo,et al.  Estimation of air permeability function from soil-water characteristic curve , 2015, Canadian Geotechnical Journal.

[21]  K. Phoon,et al.  Characterization of Geotechnical Variability , 1999 .

[22]  Kok-Kwang Phoon,et al.  Probabilistic Analysis of Soil-Water Characteristic Curves , 2010 .

[23]  Dianqing Li,et al.  Area failure probability method for slope system failure risk assessment , 2019, Computers and Geotechnics.

[24]  T. Le,et al.  Stability and failure mass of unsaturated heterogeneous slopes Thi Minh Hue Le, Domenico Gallipoli, Marcelo Sánchez, and Simon Wheeler , 2015 .

[25]  Anthony T. C. Goh,et al.  Multivariate adaptive regression splines for analysis of geotechnical engineering systems , 2013 .

[26]  Anthony T. C. Goh,et al.  Multivariate adaptive regression splines and neural network models for prediction of pile drivability , 2016 .

[27]  Liang Li,et al.  Risk assessment of slope failure by representative slip surfaces and response surface function , 2016 .

[28]  Wengang Zhang,et al.  Reliability assessment on stability of tunnelling perpendicularly beneath an existing tunnel considering spatial variabilities of rock mass properties , 2019, Tunnelling and Underground Space Technology.

[29]  J. Ching,et al.  Simulating Spatial Averages of Stationary Random Field Using the Fourier Series Method , 2013 .

[30]  Dian-Qing Li,et al.  A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties , 2015 .

[31]  Hongwei Huang,et al.  Risk assessment of slope failure considering multiple slip surfaces , 2016 .

[32]  Kok-Kwang Phoon,et al.  Effects of soil spatial variability on rainfall-induced landslides , 2011 .

[33]  Ning Lu,et al.  Unsaturated Soil Mechanics , 2004 .

[34]  Shuqi Ma,et al.  Comparison of two optimized machine learning models for predicting displacement of rainfall-induced landslide: A case study in Sichuan Province, China , 2017 .

[35]  R. Carsel,et al.  Developing joint probability distributions of soil water retention characteristics , 1988 .

[36]  Dianqing Li,et al.  Reliability analysis of unsaturated slope stability considering SWCC model selection and parameter uncertainties , 2019, Engineering Geology.

[37]  Bak Kong Low Reliability analysis of rock slopes involving correlated nonnormals , 2007 .

[38]  D. V. Griffiths,et al.  Risk Assessment in Geotechnical Engineering , 2008 .

[39]  Wengang Zhang,et al.  Reliability analysis of Unsaturated Slope Stability Considering Spatial Variability in Hydraulic Parameters , 2019, IOP Conference Series: Earth and Environmental Science.

[40]  Y. Mualem A New Model for Predicting the Hydraulic Conductivity , 1976 .

[41]  Delwyn G. Fredlund,et al.  Unsaturated Soil Mechanics in Engineering Practice , 2012 .

[42]  Yung-ming Cheng,et al.  Advanced reliability analysis of slopes in spatially variable soils using multivariate adaptive regression splines , 2019, Geoscience Frontiers.