Probabilistic parameter estimation and predictive uncertainty based on field measurements for unsaturated soil slope

A key issue in assessment of rainfall-induced slope failure is a reliable evaluation of pore water pressure distribution and its variations during rainstorm, which in turn requires accurate estimation of soil hydraulic parameters. In this study, the uncertainties of soil hydraulic parameters and their effects on slope stability prediction are evaluated, within the Bayesian framework, using the field measured temporal pore-water pressure data. The probabilistic back analysis and parameter uncertainty estimation is conducted using the Markov Chain Monte Carlo simulation. A case study of a natural terrain site is presented to illustrate the proposed method. The 95% total uncertainty bounds for the calibration period are relatively narrow, indicating an overall good performance of the infiltration model for the calibration period. The posterior uncertainty bounds of slope safety factors are much narrower than the prior ones, implying that the reduction of uncertainty in soil hydraulic parameters significantly reduces the uncertainty of slope stability.

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

[2]  C. F. Lee,et al.  Characterization of rainfall-induced landslides , 2003 .

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

[4]  Delwyn G. Fredlund,et al.  Statistical assessment of soil-water characteristic curve models for geotechnical engineering , 2001 .

[5]  Nicholas Sitar,et al.  Use of stochastic stability analysis for Bayesian back calculation of pore pressures acting in a cut slope at failure , 1987 .

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

[7]  Harry Vereecken,et al.  Bayesian inverse modelling of in situ soil water dynamics: using prior information about the soil hydraulic properties , 2011 .

[8]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[9]  Harianto Rahardjo,et al.  Effect of hydraulic properties of soil on rainfall-induced slope failure , 2010 .

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

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

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

[13]  Tien H. Wu,et al.  Embankment on sludge: predicted and observed performances , 2007 .

[14]  Chi Chung Chan.  Stochastic analysis of infiltration and slope stability considering uncertainties in soil-water retention and shear strength parameters , 2001 .

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

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

[17]  Kok-Kwang Phoon,et al.  Effect of 1D Infiltration Assumption on Stability of Spatially Variable Slope , 2011 .

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

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

[20]  Kenneth D. Walsh,et al.  Soil-water characteristic curve variability , 2000 .

[21]  Zhiming Lu,et al.  Analytical Solutions for Vertical Flow in Unsaturated, Rooted Soils with Variable Surface Fluxes , 2005 .

[22]  Wilson H. Tang,et al.  Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering , 2006 .

[23]  D. Fredlund,et al.  Soil Mechanics for Unsaturated Soils , 1993 .

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

[25]  Rajesh Srivastava,et al.  Analytical solutions for one-dimensional, transient infiltration towards the water table in homogeneous and layered soils , 1991 .

[26]  Seung-Rae Lee,et al.  Evaluation of Surficial Stability for Homogeneous Slopes Considering Rainfall Characteristics , 2002 .

[27]  Viliam Novák,et al.  Infiltration of water into soil with cracks. , 2000 .

[28]  Charles Wang Wai Ng,et al.  A numerical investigation of the stability of unsaturated soil slopes subjected to transient seepage , 1998 .

[29]  Agus Setyo Muntohar,et al.  Analysis of rainfall-induced infinite slope failure during typhoon using a hydrological–geotechnical model , 2009 .

[30]  Robert B. Gilbert,et al.  Uncertainty in back analysis of slopes: Kettleman Hills case history , 1998 .

[31]  Jasper A. Vrugt,et al.  Multiresponse multilayer vadose zone model calibration using Markov chain Monte Carlo simulation and field water retention data , 2011 .

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

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