Quantification of the influence of preferential flow on slope stability using a numerical modelling approach

The effect of preferential flow on the stability of landslides is studied through numerical simulation of two types of rainfall events on a hypothetical hillslope. A model is developed that consists of two parts. The first part is a model for combined saturated/unsaturated subsurface flow and is used to compute the spatial and temporal water pressure response to rainfall. Preferential flow is simulated with a dual-permeability continuum model consisting of a matrix domain coupled to a preferential flow domain. The second part is a soil mechanics model and is used to compute the spatial and temporal distribution of the local factor of safety based on the water pressure distribution computed with the subsurface flow model. Two types of rainfall events were considered: long-duration, low-intensity rainfall, and short-duration, high-intensity rainfall. The effect of preferential flow on slope stability is assessed through comparison of the failure area when subsurface flow is simulated with the dual-permeability model as compared to a single-permeability model (no preferential flow). For the low-intensity rainfall case, preferential flow has a positive effect on drainage of the hillslope resulting in a smaller failure area. For the high-intensity rainfall case, preferential flow has a negative effect on the slope stability as the majority of rainfall infiltrates into the preferential flow domain when rainfall intensity exceeds the infiltration capacity of the matrix domain, resulting in larger water pressure and a larger failure area.

[1]  K. Beven Kinematic subsurface stormflow , 1981 .

[2]  Jirka Šimůnek,et al.  Inverse Dual‐Permeability Modeling of Preferential Water Flow in a Soil Column and Implications for Field‐Scale Solute Transport , 2006 .

[3]  J. Malet,et al.  Hydrological and hydrochemical processes observed during a large‐scale infiltration experiment at the Super‐Sauze mudslide (France) , 2012 .

[4]  Per-Erik Jansson,et al.  Modelling water and solute transport in macroporous soil. I. Model description and sensitivity analysis , 1991 .

[5]  Peter Lehmann,et al.  Effects of rainfall spatial variability and intermittency on shallow landslide triggering patterns at a catchment scale , 2014 .

[6]  Hubert H. G. Savenije,et al.  Modelling subsurface storm flow with the Representative Elementary Watershed (REW) approach: application to the Alzette River Basin , 2006 .

[7]  D. V. Griffiths,et al.  Unsaturated slope stability analysis with steady infiltration or evaporation using elasto‐plastic finite elements , 2005 .

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

[9]  John L. Nieber,et al.  How do disconnected macropores in sloping soils facilitate preferential flow? , 2010 .

[10]  H. Gerke,et al.  Estimating hydraulic properties of soil aggregate skins from sorptivity and water retention , 2002 .

[11]  R. Soeters,et al.  Landslide hazard and risk zonation—why is it still so difficult? , 2006 .

[12]  Lorenzo Marchi,et al.  Assessment of shallow landsliding by using a physically based model of hillslope stability , 2002 .

[13]  Suzanne E. Allaire,et al.  Quantifying preferential flow in soils: A review of different techniques , 2009 .

[14]  H. Nakagawa,et al.  Numerical model and flume experiments of single- and two-layered hillslope flow related to slope failure , 2010 .

[15]  Erwin Zehe,et al.  Challenges in Understanding the Hydrologic Controls on the Mobility of Slow‐Moving Landslides , 2011 .

[16]  H. Gerke,et al.  Surface Boundary Conditions in Two‐Dimensional Dual‐Permeability Modeling of Tile Drain Bromide Leaching , 2008 .

[17]  Chittaranjan Ray,et al.  Modeling depth-variant and domain-specific sorption and biodegradation in dual-permeability media. , 2004, Journal of contaminant hydrology.

[18]  B. Mohanty,et al.  Water flow processes in a soil column with a cylindrical macropore: Experiment and hierarchical modeling , 2005 .

[19]  K. Beven,et al.  Macropores and water flow in soils , 1982 .

[20]  H. Laine-Kaulio Development and analysis of a dual-permeability model for subsurface stormflow and solute transport in a forested hillslope , 2011 .

[21]  Ali Asghar Talebi,et al.  A low‐dimensional physically based model of hydrologic control of shallow landsliding on complex hillslopes , 2008, Earth Surface Processes and Landforms.

[22]  Hannes Flühler,et al.  SUSCEPTIBILITY OF SOILS TO PREFERENTIAL FLOW OF WATER : A FIELD STUDY , 1994 .

[23]  J. Refsgaard,et al.  Modelling of macropore flow and transport processes at catchment scale , 2004 .

[24]  Marco Borga,et al.  Analysis of topographic and climatic control on rainfall-triggered shallow landsliding using a quasi-dynamic wetness index , 2002 .

[25]  M. V. Genuchten,et al.  A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media , 1993 .

[26]  Rodrigo Salgado,et al.  LIMIT ANALYSIS OF SOIL SLOPES SUBJECTED TO PORE-WATER PRESSURES , 1999 .

[27]  Maosong Huang,et al.  Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage , 2009 .

[28]  Marcel G. Schaap,et al.  Description of the unsaturated soil hydraulic database UNSODA version 2.0 , 2001 .

[29]  J. Ihringer,et al.  Modeling water flow and mass transport in a loess catchment , 2001 .

[30]  John Maximilian Köhne,et al.  A review of model applications for structured soils: a) Water flow and tracer transport. , 2009, Journal of contaminant hydrology.

[31]  J. McDonnell,et al.  The influence of macropores on debris flow initiation , 1990, Quarterly Journal of Engineering Geology.

[32]  Wesley W. Wallender,et al.  Inverse modeling of large-scale spatially distributed vadose zone properties using global optimization / W06503, doi:10.1029/2003WR002706 , 2004 .

[33]  M. Bakker,et al.  Characterization of groundwater dynamics in landslides in varved clays , 2013 .

[35]  Tao Yang,et al.  A new method to characterize the spatial structure of soil macropore networks in effects of cultivation using computed tomography , 2014 .

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

[37]  Bhavna Arora,et al.  Inverse estimation of parameters for multidomain flow models in soil columns with different macropore densities , 2011, Water resources research.

[38]  Baltasar Trancón y Widemann,et al.  Characterising flow patterns in soils by feature extraction and multiple consensus clustering , 2013, Ecol. Informatics.

[39]  Albert J. Valocchi,et al.  An improved dual porosity model for chemical transport in macroporous soils , 1997 .

[40]  Markus Weiler,et al.  An infiltration model based on flow variability in macropores: development, sensitivity analysis and applications , 2005 .

[41]  H. Schweiger,et al.  Slope Stability Analysis of Unsaturated Soil with Fully Coupled Flow-Deformation Analysis , 2011 .

[42]  Ning Lu,et al.  Analysis of rainfall‐induced slope instability using a field of local factor of safety , 2012 .

[43]  C. Lanni,et al.  Simulated effect of soil depth and bedrock topography on near‐surface hydrologic response and slope stability , 2013 .

[44]  R. H. Brooks,et al.  Hydraulic properties of porous media , 1963 .

[45]  Giovanni B. Crosta,et al.  Rainfall‐induced landslides and debris flows , 2008 .

[46]  Horst H. Gerke,et al.  Evaluation of a first-order water transfer term for variably saturated dual-porosity flow models , 1993 .

[47]  M. Ramondini,et al.  Softening and instability of natural slopes in highly fissured plastic clay shales , 2006 .

[48]  J. Huisman The Netherlands , 1996, The Lancet.

[49]  Robin Chowdhury,et al.  Landslide hazard assessment: summary review and new , 1999 .

[50]  Stefan Gottschalk,et al.  Slope Stability And Stabilization Methods , 2016 .

[51]  Takahisa Mizuyama,et al.  Effects of pipeflow on hydrological process and its relation to landslide: a review of pipeflow studies in forested headwater catchments , 2001 .

[52]  M. Fujita,et al.  Relative importance of slope material properties and timing of rainfall for the occurrence of landslides , 2008 .

[53]  M. Bakker,et al.  Quantification of the influence of preferential flow on slope stability using a numerical modeling approach (discussions) , 2014 .

[54]  G. Bodvarsson,et al.  A triple-continuum approach for modeling flow and transport processes in fractured rock. , 2001, Journal of contaminant hydrology.

[55]  L. J. Sluys,et al.  A continuous–discontinuous approach to simulate fracture processes in quasi-brittle materials , 2008 .

[56]  G. Ma,et al.  A combined continuous-discontinuous approach for failure process of quasi-brittle materials , 2014 .

[57]  P. B. Leeds-Harrison,et al.  CRACK-NP: a pesticide leaching model for cracking clay soils. , 2000 .

[58]  J. Godt,et al.  A closed‐form equation for effective stress in unsaturated soil , 2010 .

[59]  M. Niedda,et al.  Field monitoring and dual permeability modelling of water flow through unsaturated calcareous rocks. , 2010 .

[60]  S. R. Hencher,et al.  Preferential flow paths through soil and rock and their association with landslides , 2010 .

[61]  N. Caine,et al.  The Rainfall Intensity - Duration Control of Shallow Landslides and Debris Flows , 1980 .

[62]  Yutaka Ichikawa,et al.  A physically based distributed subsurface–surface flow dynamics model for forested mountainous catchments , 2005 .

[63]  Doug Stead,et al.  Advanced numerical techniques in rock slope stability analysis - applications and limitations , 2001 .

[64]  Cees J. van Westen,et al.  Comparing two methods to estimate lateral force acting on stabilizing piles for a landslide in the Three Gorges Reservoir, China , 2014 .

[65]  J. McDonnell,et al.  Role of upslope soil pore pressure on lateral subsurface storm flow dynamics , 2004 .

[66]  Rex L. Baum,et al.  Transient deterministic shallow landslide modeling: Requirements for susceptibility and hazard assessments in a GIS framework , 2008 .

[67]  H. Gerke,et al.  Estimating the hydraulic functions of dual‐permeability models from bulk soil data , 2002 .

[68]  Abdallah I. Husein Malkawi,et al.  Stability analysis of slopes using the finite element method and limiting equilibrium approach , 2008 .

[69]  Miroslav Šejna,et al.  Development and Applications of the HYDRUS and STANMOD Software Packages and Related Codes , 2008 .

[70]  Leonardo Noto,et al.  Physically-based and distributed approach to analyze rainfall-triggered landslides at watershed scale , 2009 .

[71]  Thom Bogaard,et al.  How to Use COMSOL Multiphysics for Coupled Dual-permeability Hydrological and Slope Stability Modeling , 2014 .

[72]  T. Vogela,et al.  Modeling flow and transport in a two-dimensional dual-permeability system with spatially variable hydraulic properties , 2003 .

[73]  Jeffrey J. McDonnell,et al.  Lateral subsurface stormflow and solute transport in a forested hillslope: A combined measurement and modeling approach , 2014 .

[74]  N. Hotta,et al.  Estimating the effects of heavy rainfall conditions on shallow landslides using a distributed landslide conceptual model , 2012 .

[75]  M. Rossi,et al.  Rainfall thresholds for the initiation of landslides in central and southern Europe , 2007 .

[76]  N. Jarvis A review of non‐equilibrium water flow and solute transport in soil macropores: principles, controlling factors and consequences for water quality , 2007 .

[77]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[78]  P. Aleotti,et al.  Landslide hazard assessment: summary review and new perspectives , 1999 .

[79]  Keith Beven,et al.  Macropores and water flow in soils revisited , 2013 .

[80]  Giacomo Bertoldi,et al.  Modelling the probability of occurrence of shallow landslides and channelized debris flows using GEOtop‐FS , 2008 .

[81]  Alessandro Simoni,et al.  Observation and analysis of near‐surface pore‐pressure measurements in clay‐shales slopes , 2012 .

[82]  Hydraulic Properties of Rocks , 2010 .

[83]  Lanru Jing,et al.  A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering , 2003 .

[84]  H. Gerke,et al.  Dual-permeability modeling of preferential bromide leaching from a tile-drained glacial till agricultural field , 2004 .

[85]  A. Matthewsa,et al.  CRACK-NP : a pesticide leaching model for cracking clay soils , 2000 .

[86]  R. Greco Preferential flow in macroporous swelling soil with internal catchment: model development and applications , 2002 .

[87]  T. Tsai,et al.  Modeling of rainfall-triggered shallow landslide , 2006 .

[88]  Horst H. Gerke,et al.  Preferential flow descriptions for structured soils , 2006 .

[89]  S. Roulier,et al.  Analysis of Inverse Procedures for Estimating Parameters Controlling Macropore Flow and Solute Transport in the Dual-Permeability Model MACRO , 2003 .

[90]  R. Greco,et al.  Hydrological modelling of a slope covered with shallow pyroclastic deposits from field monitoring data , 2013 .

[91]  Gordon A. Fenton,et al.  Probabilistic infinite slope analysis , 2011 .

[92]  M. Quecedo,et al.  Mathematical, Constitutive and Numerical Modelling of Catastrophic Landslides and Related Phenomena , 2008 .

[93]  Tetsuro Esaki,et al.  Spatio-temporal estimation of shallow landslide hazard triggered by rainfall using a three-dimensional model , 2007 .

[94]  Thom Bogaard,et al.  A conceptual model of the hydrological influence of fissures on landslide activity , 2011 .

[95]  M. Rossi,et al.  The rainfall intensity–duration control of shallow landslides and debris flows: an update , 2008 .

[96]  Muhammad Mukhlisin,et al.  Numerical analysis of effective soil porosity and soil thickness effects on slope stability at a hillslope of weathered granitic soil formation , 2008 .

[97]  M. V. Genuchten,et al.  Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone , 2003 .

[98]  P. Jardine,et al.  A multiple-pore-region concept to modeling mass transfer in subsurface media , 1995 .

[99]  Lorella Montrasio,et al.  A model for triggering mechanisms of shallow landslides , 2008 .

[100]  Fuchu Dai,et al.  Landslide risk assessment and management: an overview , 2002 .

[101]  J. Poesen,et al.  Spatial interaction between collapsed pipes and landslides in hilly regions with loess‐derived soils , 2013 .

[102]  Malcolm G. Anderson,et al.  An integrated hydrological model for rain‐induced landslide prediction , 2002 .

[103]  T. Bogaard Analysis of hydrological processes in unstable clayey slopes , 2001 .