Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration

Rainfall weakens an earth slope in a number of ways. It increases the degree of saturation of the soil, thereby breaking the bonds created by surface tension between the soil particles. When the volume of infiltrating water is large enough to mobilize fluid flow inside the soil matrix, the fluid exerts a downhill frictional drag on the slope, creating a destabilizing effect. When excess fluid can no longer infiltrate the slope due to increased saturation in the soil, it is discharged as a surface runoff and erodes the slope. In this paper, we present a physics-based framework for continuum modeling of a hydrologically driven slope failure similar to what occurred in a steep experimental catchment CB1 near Coos Bay, Oregon. We quantify the rainfall-induced slope deformation and assess the failure potential of the slope using finite element modeling that couples solid deformation with fluid pressure in an unsaturated soil. Results of the studies suggest that for a steep hillside slope underlain by a shallow bedrock similar to the CB1 site, failure would occur by multiple slide blocks with the failure surfaces emerging on the slope face. These results suggest that an infinite slope mechanism would be insufficient to represent the failure kinematics for a slope similar to CB1.

[1]  Jerome V. DeGraff,et al.  Catastrophic landslides : effects, occurrence, and mechanisms , 2002 .

[2]  J. Vanderkwaak Numerical simulation of flow and chemical transport in integrated surface-subsurface hydrologic systems , 1999 .

[3]  D. Heyer,et al.  Influence of the initial water content and dry density on the soil–water retention curve and the shrinkage behavior of a compacted clay , 2008 .

[4]  Atsushi Yashima,et al.  Estimating the impact force generated by granular flow on a rigid obstruction , 2009 .

[5]  Clark R. Dohrmann,et al.  Stabilization of Low-order Mixed Finite Elements for the Stokes Equations , 2004, SIAM J. Numer. Anal..

[6]  David G. Toll,et al.  The effect of antecedent rainfall on slope stability , 2001 .

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

[8]  A. Gens,et al.  An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour , 2003 .

[9]  Ronaldo I. Borja,et al.  On the mechanical energy and effective stress in saturated and unsaturated porous continua , 2006 .

[10]  Ronaldo I. Borja,et al.  Condition for liquefaction instability in fluid-saturated granular soils , 2006 .

[11]  David R. Owen,et al.  Transfer operators for evolving meshes in small strain elasto-placticity , 1996 .

[12]  New basis for the constitutive modelling of aggregated soils , 2008 .

[13]  Tien H. Wu,et al.  In‐Situ Shear Test of Soil‐Root Systems , 1988 .

[14]  S. P. Anderson,et al.  Unsaturated zone processes and the hydrologic response of a steep, unchanneled catchment , 1998 .

[15]  Yin Lu Young,et al.  Liquefaction potential of coastal slopes induced by solitary waves , 2009 .

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

[17]  Lyesse Laloui,et al.  Effective stress concept in unsaturated soils: Clarification and validation of a unified framework , 2008 .

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

[19]  Sang-Seom Jeong,et al.  Influence of rainfall-induced wetting on the stability of slopes in weathered soils , 2004 .

[20]  Kenneth Runesson,et al.  Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain , 1991 .

[21]  R. Harr,et al.  Influence of soil aggregation on slope stability in the Oregon Coast Ranges , 1977 .

[22]  José E. Andrade,et al.  Modeling deformation banding in dense and loose fluid-saturated sands , 2007 .

[23]  R. Schuster,et al.  Overview of catastrophic landslides of South America in the twentieth century , 2002 .

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

[25]  Bernhard A. Schrefler,et al.  On adaptive refinement techniques in multi-field problems including cohesive fracture , 2006 .

[26]  Alec Westley Skempton,et al.  EFFECTIVE STRESS IN SOILS, CONCRETE AND ROCKS , 1961 .

[27]  Guy T. Houlsby,et al.  The work input to an unsaturated granular material , 1997 .

[28]  Ronaldo I. Borja,et al.  Conditions for instabilities in collapsible solids including volume implosion and compaction banding , 2006 .

[29]  S. P. Anderson,et al.  Near-surface hydrologic response for a steep, unchanneled catchment near Coos Bay, Oregon: 1. sprinkling experiments , 2007, American Journal of Science.

[30]  Simon J. Wheeler,et al.  An elasto-plastic critical state framework for unsaturated soil , 1995 .

[31]  A. Lagmay,et al.  Scientists investigate recent Philippine landslide , 2006 .

[32]  Clark R. Dohrmann,et al.  A Computational Study of Stabilized, Low-order C0 Finite Element Approximations of Darcy Equations , 2006 .

[33]  Bijan Boroomand,et al.  Recovery Procedures in Error Estimation and Adaptivity , 1999 .

[34]  C. Dohrmann,et al.  A stabilized finite element method for the Stokes problem based on polynomial pressure projections , 2004 .

[35]  Wolfgang Ehlers,et al.  h‐Adaptive FE methods applied to single‐ and multiphase problems , 2002 .

[36]  José E. Andrade,et al.  Capturing strain localization in dense sands with random density , 2006 .

[37]  W. L. Schroeder,et al.  Soil Properties for Slope Stability Analysis; Oregon and Washington Coastal Mountains , 1983 .

[38]  Richard M. Iverson,et al.  Landslide triggering by rain infiltration , 2000 .

[39]  S. P. Anderson,et al.  Hydrologic response of a steep, unchanneled valley to natural and applied rainfall , 1997 .

[40]  José E. Andrade,et al.  Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials , 2006 .

[41]  Antonio Gens,et al.  A stress point algorithm for an elastoplastic model in unsaturated soils , 2000 .

[42]  Klaus-Jürgen Bathe,et al.  Error indicators and adaptive remeshing in large deformation finite element analysis , 1994 .

[43]  M. Anderson,et al.  Regolith stripping and the control of shallow translational hillslope failure: application of a two-dimensional coupled soil hydrology-slope stability model, Hawke's Bay, New Zealand , 2002 .

[44]  M. Schatzmann,et al.  Experimental study on rheologic behaviour of debris flow material , 2007 .

[45]  J. Rice,et al.  CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS , 1975 .

[46]  S. P. Anderson,et al.  Subsurface flow paths in a steep, unchanneled catchment , 1997 .

[47]  H. Ochiai,et al.  Landslide fluidization process by flume experiments , 2002 .

[48]  Ronaldo I. Borja,et al.  On the effective stress in unsaturated porous continua with double porosity , 2009 .

[49]  Amos Nur,et al.  An exact effective stress law for elastic deformation of rock with fluids , 1971 .

[50]  D. Varnes SLOPE MOVEMENT TYPES AND PROCESSES , 1978 .

[51]  Ning Lu,et al.  Suction Stress Characteristic Curve for Unsaturated Soil , 2006 .

[52]  Chapter 5: The Mameyes, Puerto Rico, landslide disaster of October 7, 1985 , 1992 .

[53]  D. Fredlund,et al.  STRESS STATE VARIABLES FOR UNSATURATED SOILS , 1977 .

[54]  Ronaldo I. Borja,et al.  Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media , 2004 .

[55]  K. Terzaghi Theoretical Soil Mechanics , 1943 .

[56]  R. Sidle A theoretical model of the effects of timber harvesting on slope stability , 1992 .

[57]  Torsten Schaub,et al.  The variability of root cohesion as an influence on shallow landslide susceptibility in the Oregon Coast Range , 2001 .

[58]  O. C. Zienkiewicz,et al.  Recovery procedures in error estimation and adaptivity. Part II: Adaptivity in nonlinear problems of elasto-plasticity behaviour , 1999 .

[59]  Ruben Juanes,et al.  A locally conservative finite element framework for the simulation of coupled flow and reservoir geomechanics , 2007 .

[60]  Minna Karstunen,et al.  Comments on use of the Barcelona Basic Model for unsaturated soils , 2002 .

[61]  G. Houlsby The work input to a granular material , 1979 .

[62]  Ronaldo I. Borja,et al.  Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients , 2008 .

[63]  T. Schanz,et al.  Osmotic suction of highly plastic clays , 2009 .

[64]  Antonio Gens,et al.  A constitutive model for partially saturated soils , 1990 .

[65]  S. P. Anderson,et al.  Near-surface hydrologic response for a steep, unchanneled catchment near Coos Bay, Oregon: 2. Physics-based simulations , 2007, American Journal of Science.