Probabilistic calibration of a coupled hydro-mechanical slope stability model with integration of multiple observations

ABSTRACT Multiple types of responses, such as displacements, ground water level, pore water pressures, water contents, etc., are usually measured in comprehensive monitoring programmes for rainfall-induced landslide prevention. In this study, a probabilistic calibration method for coupled hydro-mechanical modelling of slope stability is presented with integration of multiple types of measurements. A numerical example of a soil slope under rainfall infiltration is illustrated to compare the effects of single and multiple types of responses on parameter estimation and model calibration. The results show that the soil parameters can be estimated with less uncertainty and total uncertainty bounds are narrower with multiple types of responses than with a single type of response. Model calibration based on multiple types of responses can compromise different responses and hence the means and standard deviations of model error are the smallest. A feasible correlation coefficient between soil modulus and permeability can be obtained from model calibration with multiple types of responses and single type of response as long as the responses include displacement data.

[1]  Atsushi Yashima,et al.  Numerical Analyses on Progressive Failure of Slope Due to Heavy Rain with 2D and 3D FEM , 2005 .

[2]  Li-jun Su,et al.  A back-propagation neural-network-based displacement back analysis for the identification of the geomechanical parameters of the Yonglang landslide in China , 2017, Journal of Mountain Science.

[3]  Dian-Qing Li,et al.  Slope stability analysis in the Three Gorges Reservoir Area considering effect of antecedent rainfall , 2017 .

[4]  D. E. Pufahl,et al.  Model for the prediction of shear strength with respect to soil suction , 1996 .

[5]  Jun-mo Kim A fully coupled finite element analysis of water-table fluctuation and land deformation in partially saturated soils due to surface loading , 2000 .

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

[7]  Nasser Khalili,et al.  Effective Stress in Unsaturated Soils: Review with New Evidence , 2004 .

[8]  W. Z. Savage,et al.  TRIGRS - A Fortran Program for Transient Rainfall Infiltration and Grid-Based Regional Slope-Stability Analysis, Version 2.0 , 2002 .

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

[10]  Displacement scenarios of a rainfall-controlled slow moving active slide in stiff clays , 2009 .

[11]  Rolando P. Orense,et al.  Back analyses of rainfall-induced slope failure in Northland Allochthon formation , 2012, Landslides.

[12]  Shui-Hua Jiang,et al.  Updating performance of high rock slopes by combining incremental time-series monitoring data and three-dimensional numerical analysis , 2016 .

[13]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[14]  Gordon A. Fenton,et al.  THREE-DIMENSIONAL SEEPAGE THROUGH SPATIALLY RANDOM SOIL , 1997 .

[15]  Delwyn G. Fredlund,et al.  The relationship of the unsaturated soil shear strength to the soil-water characteristic curve , 1996 .

[16]  Antonio Gens,et al.  Unsaturated soils: From constitutive modelling to numerical algorithms , 2008 .

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

[18]  D. V. Griffiths,et al.  One-dimensional consolidation theories for layered soil and coupled and uncoupled solutions by the finite-element method , 2010 .

[19]  Li Min Zhang,et al.  RAINFALL-INDUCED SLOPE FAILURE CONSIDERING VARIABILITY OF SOIL PROPERTIES , 2005 .

[20]  Ronaldo I. Borja,et al.  Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration , 2010 .

[21]  Enrico Conte,et al.  A simplified method for predicting rainfall-induced mobility of active landslides , 2017, Landslides.

[22]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[23]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[24]  Lulu Zhang,et al.  Probabilistic parameter estimation and predictive uncertainty based on field measurements for unsaturated soil slope , 2013 .

[25]  Leslie George Tham,et al.  Numerical modelling of soil nails in loose fill slope under surcharge loading , 2009 .

[26]  Jinsong Huang,et al.  Probabilistic analysis of soil-water characteristic curve with Bayesian approach and its application on slope stability under rainfall via a difference equations approach , 2017 .

[27]  Cajo J. F. ter Braak,et al.  Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation , 2008 .

[28]  G. L. Sivakumar Babu,et al.  Probabilistic back analysis of rainfall induced landslide‐ A case study of Malin landslide, India , 2016 .

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

[30]  Jie Zhang,et al.  Back analysis of slope failure with Markov chain Monte Carlo simulation , 2010 .

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

[32]  L. ZhangL.,et al.  Modeling the unsaturated soil zone in slope stability analysis1 , 2014 .

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

[34]  Ming Ye,et al.  Numerical Evaluation of Uncertainty in Water Retention Parameters and Effect on Predictive Uncertainty , 2009 .

[35]  Gordon A. Fenton,et al.  Probabilistic Analysis of Coupled Soil Consolidation , 2010 .

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

[37]  Martin Rutzinger,et al.  Sensitivity analysis and calibration of a dynamic physically based slope stability model , 2017 .

[38]  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.

[39]  Leonardo Cascini,et al.  Modeling of Rainfall-Induced Shallow Landslides of the Flow-Type , 2010 .

[40]  Li Min Zhang,et al.  Study of desiccation crack initiation and development at ground surface , 2011 .

[41]  Doreen Eichel,et al.  Unsaturated Soil Mechanics In Engineering Practice , 2016 .

[42]  George E. P. Box,et al.  Bayesian Inference in Statistical Analysis: Box/Bayesian , 1992 .

[43]  S. Olivella,et al.  Analysis of slope movement initiation induced by rainfall using the Elastoplastic Barcelona Basic Model , 2015 .

[44]  Feng Zhang,et al.  Soil–water–air fully coupling finite element analysis of slope failure in unsaturated ground , 2014 .

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

[46]  S. A. Anderson,et al.  Determination of shear strength of Hawaiian residual soil subjected to rainfall-induced landslides , 1998 .

[47]  J. Zhang,et al.  Stability analysis of rainfall-induced slope failure: a review , 2011 .

[48]  Toshitaka Kamai,et al.  Monitored and simulated variations in matric suction during rainfall in a residual soil slope , 2008 .

[49]  Shengyuan Song,et al.  Bayesian-based probabilistic kinematic analysis of discontinuity-controlled rock slope instabilities , 2017, Bulletin of Engineering Geology and the Environment.

[50]  Rex L. Baum,et al.  Estimating the timing and location of shallow rainfall‐induced landslides using a model for transient, unsaturated infiltration , 2010 .

[51]  Dian-Qing Li,et al.  Effect of spatially variable shear strength parameters with linearly increasing mean trend on reliability of infinite slopes , 2014 .

[52]  L. Tham,et al.  Mechanism of drying induced rebound movements in a soil slope in Sai Kung, Hong Kong , 2010 .

[53]  Li Min Zhang,et al.  Efficient Probabilistic Back-Analysis of Slope Stability Model Parameters , 2010 .

[54]  Dian-Qing Li,et al.  Assessment of Slope Stability in the Monitoring Parameter Space , 2016 .

[55]  Yu Wang,et al.  Efficient Monte Carlo Simulation of parameter sensitivity in probabilistic slope stability analysis , 2010 .

[56]  Laurence D. Wesley,et al.  Principle of Effective Stress , 2009 .

[57]  Dong Zheng,et al.  Embankment prediction using testing data and monitored behaviour: A Bayesian updating approach , 2018 .

[58]  Michael A. Hicks,et al.  Reduction of slope stability uncertainty based on hydraulic measurement via inverse analysis , 2016 .

[59]  L. A. Richards Capillary conduction of liquids through porous mediums , 1931 .

[60]  Cheng-Haw Lee,et al.  Instability of unsaturated soil slopes due to infiltration , 2007 .

[61]  Kai-heng Hu,et al.  Experimental and numerical analysis on the responses of slope under rainfall , 2012, Natural Hazards.

[62]  Lulu Zhang,et al.  Back-Analysis and Parameter Identification for Deep Excavation Based on Pareto Multiobjective Optimization , 2015 .

[63]  Richard A. Regueiro,et al.  Instability of partially saturated soil slopes due to alteration of rainfall pattern , 2012 .

[64]  Yvon Riou,et al.  Single‐and multi‐objective genetic algorithm optimization for identifying soil parameters , 2012 .

[65]  A. Gens,et al.  PARAMETER AND VARIANCE ESTIMATION IN GEOTECHNICAL BACKANALYSIS USING PRIOR INFORMATION , 1996 .

[66]  Andrew J. Pearce,et al.  Slope Stability Analysis , 2013 .

[67]  A. Brix Bayesian Data Analysis, 2nd edn , 2005 .

[68]  K. Sako,et al.  CONTRIBUTION OF "SOILS AND FOUNDATIONS" TO STUDIES ON RAINFALL-INDUCED SLOPE FAILURE , 2010 .

[69]  E. Vargas,et al.  On the evaluation of unsaturated flow in a natural slope in Rio de Janeiro, Brazil , 2006 .

[70]  Jinhui Li,et al.  Rainfall-Induced Soil Slope Failure , 2016 .

[71]  Qiang Yang,et al.  Stability analysis of earthquake-induced rock slope based on back analysis of shear strength parameters of rock mass , 2017 .

[72]  Jie Zhang,et al.  System reliability analysis of soil slopes stabilized with piles , 2017 .

[73]  Zhe Luo,et al.  Probabilistic back analysis of slope failure – A case study in Taiwan , 2013 .

[74]  Charles Wang Wai Ng,et al.  Numerical experiments of soil nails in loose fill slopes subjected to rainfall infiltration effects , 2005 .

[75]  C. F. Lee,et al.  Displacement back analysis for a steep slope at the Three Gorges Project site , 2001 .

[76]  Brian S. Bruckno,et al.  Engineering Geology , 1916, Nature.

[77]  Hongbo Zhao,et al.  Probabilistic back analysis based on Bayesian and multi-output support vector machine for a high cut rock slope , 2016 .

[78]  Richard Kelly,et al.  Bayesian updating for one-dimensional consolidation measurements , 2015 .

[79]  Michele Calvello,et al.  A numerical procedure for predicting rainfall‐induced movements of active landslides along pre‐existing slip surfaces , 2008 .

[80]  Li Min Zhang,et al.  Microporosity Structure of Coarse Granular Soils , 2010 .

[81]  Feng Zhang,et al.  A NEW MODEL FOR UNSATURATED SOIL USING SKELETON STRESS AND DEGREE OF SATURATION AS STATE VARIABLES , 2011 .

[82]  C. Y. Cheuk,et al.  Deformation and crack development of a nailed loose fill slope subjected to water infiltration , 2009 .

[83]  Yusuke Honjo,et al.  Inverse analysis of an embankment on soft clay by extended Bayesian method , 1994 .

[84]  Li Min Zhang,et al.  Probabilistic model calibration for soil slope under rainfall: effects of measurement duration and frequency in field monitoring , 2014 .

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