Foreword |
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xiii | |
Foreword |
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xv | |
Preface |
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xvii | |
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xix | |
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PART I Stability analysis methods |
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1 | (226) |
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3 | (12) |
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1.1 Slope failures under rainfall and failure mechanisms |
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3 | (3) |
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1.2 Recent advances and hot research topics |
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6 | (2) |
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8 | (7) |
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8 | (7) |
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2 Infiltration and seepage analysis in soil slopes |
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15 | (50) |
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15 | (1) |
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2.2 Estimation of infiltration rate based on conceptual model |
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16 | (11) |
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2.2.1 Mechanism of infiltration in soils |
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16 | (1) |
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2.2.2 Green--Ampt model for infiltration of constant rainfall on a level ground |
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17 | (2) |
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2.2.3 Infiltration of constant rainfall on a sloping ground |
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19 | (3) |
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2.2.4 Infiltration of time-varied rainfall on a sloping ground |
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22 | (5) |
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2.3 Seepage analysis in unsaturated soil slopes based on physical governing equation |
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27 | (4) |
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2.3.1 Governing equation of water flow in unsaturated soil |
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27 | (1) |
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2.3.2 Hydraulic properties of unsaturated soils |
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28 | (1) |
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2.3.2.1 Soil--water characteristic curve |
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28 | (1) |
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2.3.2.2 Coefficient of permeability function |
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28 | (3) |
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2.4 Analytical solutions of the Richards equation |
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31 | (8) |
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2.4.1 Analytical solution of one-dimensional infiltration under constant rainfall |
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32 | (1) |
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2.4.2 Analytical solution of one-dimensional infiltration under time-varied rainfall |
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33 | (1) |
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2.4.3 Effect of soil properties, boundary conditions, and initial conditions |
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34 | (1) |
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2.4.3.1 Saturated permeability ks |
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34 | (2) |
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2.4.3.2 Desaturation coefficient αsy |
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36 | (1) |
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2.4.3.3 Effective water content θS -- θr |
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37 | (1) |
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2.4.3.4 Antecedent surface flux q0 |
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37 | (1) |
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2.4.3.5 Rainfall intensity q1 |
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37 | (2) |
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2.4.3.6 Thickness of soil layer L |
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39 | (1) |
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2.5 Numerical analysis of the Richards equation |
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39 | (7) |
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2.5.1 Standard formulations |
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39 | (1) |
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2.5.2 Spatial approximation and time discretization |
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40 | (1) |
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2.5.3 Nonlinear solution methods |
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41 | (1) |
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2.5.4 Numerical oscillation |
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41 | (4) |
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2.5.5 Rainfall infiltration boundary condition |
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45 | (1) |
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2.6 Typical pore-water pressure profiles under rainfall condition |
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46 | (2) |
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2.7 Soil conditions under which matric suction can be maintained |
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48 | (17) |
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2.7.1 Pore-water pressure profiles under steady-state conditions |
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50 | (4) |
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2.7.2 Pore-water pressure profiles under transient seepage conditions |
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54 | (1) |
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2.7.2.1 Effect of air-entry value on the wetting front |
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54 | (1) |
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2.7.2.2 Effect of the saturated coefficient of permeability |
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55 | (1) |
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2.7.2.3 Influence of water storage coefficient |
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56 | (2) |
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2.7.2.4 Effect of the groundwater boundary conditions |
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58 | (2) |
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2.7.3 Geotechnical engineering implications |
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60 | (1) |
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60 | (5) |
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3 Stability analysis of slope under rainfall infiltration based on limit equilibrium |
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65 | (36) |
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65 | (1) |
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3.2 Infinite-slope stability analysis based on one-dimensional infiltration profile |
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65 | (10) |
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3.2.1 General equation of factor of safety for infinite unsaturated slope |
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65 | (1) |
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3.2.2 Simplified scenarios of various seepage conditions |
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66 | (1) |
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3.2.2.1 Steady-state condition with seepage parallel slope surface |
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66 | (2) |
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3.2.2.2 Transient condition with different shapes of wetting front |
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68 | (1) |
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3.2.3 Slope stability based on estimated nonlinear unsaturated shear strength |
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68 | (1) |
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3.2.3.1 Fredlund et al. nonlinear shear strength equation |
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69 | (1) |
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3.2.3.2 Vanapalli et al. nonlinear shear strength equation |
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70 | (1) |
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3.2.3.3 Vilar nonlinear shear strength equation |
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70 | (1) |
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3.2.3.4 Khalili and Khabbaz nonlinear shear strength equation |
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71 | (1) |
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3.2.3.5 Bao et al. nonlinear shear strength equation |
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71 | (4) |
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3.3 Slope stability analysis based on limit equilibrium methods |
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75 | (4) |
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3.4 Controlling factors for rainfall-induced landslides |
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79 | (10) |
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3.4.1 Soil shear strength properties |
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79 | (2) |
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3.4.2 Soil hydraulic properties |
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81 | (4) |
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3.4.3 Rainfall characteristics |
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85 | (4) |
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3.5 Spatially distributed model of hazard assessment of rainfall-induced landslides |
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89 | (12) |
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3.5.1 General methodology |
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90 | (1) |
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91 | (3) |
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94 | (7) |
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4 Coupled hydro-mechanical analysis for unsaturated soil slope |
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101 | (72) |
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101 | (1) |
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4.2 Modeling of unsaturated soil based on continuity mechanics |
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101 | (24) |
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101 | (2) |
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4.2.2 Governing equations |
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103 | (1) |
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4.2.2.1 Force equilibrium |
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103 | (1) |
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4.2.2.2 Mass continuity of water phase |
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104 | (1) |
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4.2.3 Formulations based on elastic constitutive model |
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104 | (1) |
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4.2.3.1 Effective stress approach |
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104 | (3) |
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4.2.3.2 Two stress state variables approach |
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107 | (6) |
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4.2.4 Illustrative examples for elastic model |
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113 | (1) |
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4.2.4.1 Consolidation of unsaturated soil |
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113 | (3) |
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4.2.4.2 Heave of ground under evaporation |
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116 | (4) |
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4.2.5 Formulations based on plastic constitutive models |
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120 | (5) |
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4.3 Slope stability analysis based on coupled modeling |
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125 | (8) |
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125 | (1) |
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4.3.1.1 Simplified approach |
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125 | (3) |
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4.3.1.2 Fully coupled approach |
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128 | (1) |
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4.3.2 Estimation of factor of safety for slope stability |
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129 | (4) |
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4.4 Illustrative examples |
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133 | (40) |
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4.4.1 A simple slope example based on elastoplastic model and effective stress concept |
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133 | (8) |
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4.4.2 Case study of 1976 Sau Mau Ping landslide |
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141 | (1) |
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142 | (2) |
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144 | (5) |
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4.4.2.3 Results and discussion |
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149 | (4) |
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4.4.3 Case study of a field test of rainfall-induced landslide |
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153 | (1) |
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153 | (1) |
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4.4.3.2 Experiment procedure |
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154 | (1) |
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155 | (1) |
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156 | (4) |
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4.4.3.5 Results and discussion |
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160 | (6) |
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166 | (7) |
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5 Stability of soil slope with cracks |
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173 | (34) |
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173 | (1) |
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5.2 Prediction of unsaturated hydraulic functions of cracked soil |
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173 | (13) |
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5.2.1 Pore-size distribution of cracked soil |
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174 | (1) |
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5.2.2 Prediction of SWCC for desiccation crack networks |
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174 | (1) |
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5.2.2.1 A general method to estimate SWCC based on the capillary law |
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174 | (2) |
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5.2.2.2 SWCC for soil matrix with known pore-size distribution |
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176 | (1) |
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5.2.2.3 Water retention curve for cracks |
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177 | (1) |
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5.2.3 Prediction of SWCC for nondeformable cracked soil |
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178 | (1) |
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5.2.4 Prediction of tensorial permeability function for nondeformable cracked soil |
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179 | (1) |
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5.2.4.1 Saturated permeability of desiccation cracks |
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179 | (1) |
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5.2.4.2 Permeability function for desiccation cracks |
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179 | (2) |
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5.2.4.3 Prediction of permeability function for cracked soil |
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181 | (1) |
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5.2.5 Hysteresis models for SWCC and permeability function |
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182 | (2) |
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5.2.6 Prediction of SWCC and permeability function considering crack volume change |
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184 | (1) |
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5.2.6.1 Desiccation-induced crack volume change |
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184 | (1) |
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5.2.6.2 SWCC and permeability function for cracked soil considering crack volume change |
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185 | (1) |
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186 | (11) |
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5.3.1 Prediction of S WCC and permeability function for cracked soils considering crack volume change |
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186 | (9) |
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5.3.2 Parametric study and discussions |
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195 | (2) |
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5.4 Stability of soil slope with cracks |
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197 | (10) |
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197 | (2) |
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199 | (4) |
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203 | (4) |
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6 Stability analysis of colluvium slopes |
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207 | (20) |
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207 | (1) |
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6.2 Hydraulic properties of colluvial soils |
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207 | (4) |
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6.3 Shear strength of colluvial soils |
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211 | (1) |
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212 | (15) |
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212 | (1) |
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6.4.2 Seepage analysis results |
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213 | (1) |
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6.4.2.1 Slopes composed of soils with high fines fractions |
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214 | (5) |
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6.4.2.2 Slopes composed of colluvial soils with high coarse fractions |
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219 | (2) |
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6.4.3 Stability analysis results |
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221 | (3) |
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224 | (3) |
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PART II Probabilistic assessment |
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227 | (138) |
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7 Reliability analysis of slope under rainfall |
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229 | (70) |
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229 | (1) |
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7.2 Fundamental concept of reliability |
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230 | (3) |
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7.3 Reliability methods and applications on slope stability |
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233 | (26) |
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7.3.1 First-order reliability method |
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233 | (1) |
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7.3.1.1 Mean first-order second-moment method |
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233 | (4) |
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7.3.1.2 Advanced first-order second-moment method |
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237 | (5) |
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7.3.1.3 Spreadsheet method |
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242 | (4) |
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246 | (1) |
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7.3.2.1 Monte Carlo simulation |
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246 | (2) |
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7.3.2.2 Importance sampling |
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248 | (2) |
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7.3.2.3 Latin hypercube sampling |
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250 | (1) |
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7.3.2.4 Subset simulation |
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251 | (4) |
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7.3.3 Response surface method |
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255 | (4) |
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7.4 Uncertainties of soil properties |
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259 | (10) |
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7.4.1 Index, strength, and compressibility parameters |
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259 | (1) |
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7.4.2 Soil hydraulic properties |
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260 | (9) |
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7.5 Effects of uncertainty of hydraulic properties on infiltration and slope stability |
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269 | (8) |
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7.5.1 Uncertainty of hydraulic parameters of CDG and CDV soils |
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269 | (2) |
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7.5.2 Infiltration in CDG and CDV soil slopes |
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271 | (4) |
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7.5.3 Effects of correlation of hydraulic properties on slope reliability |
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275 | (2) |
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7.6 Reliability analysis of rainfall-induced slope failure: the Sau Mau Ping landslide |
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277 | (10) |
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7.6.1 Statistics of random variables |
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277 | (4) |
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7.6.2 Methodology of reliability analysis |
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281 | (1) |
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7.6.3 Results and discussion |
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281 | (1) |
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7.6.3.1 Uncertainty of pore-water pressure profiles and wetting fronts |
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281 | (1) |
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7.6.3.2 Uncertainty of safety factor |
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282 | (4) |
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7.6.3.3 Uncertainty analysis of horizontal displacement |
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286 | (1) |
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7.7 Quantitative risk assessment of landslide and risk acceptance criteria |
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287 | (12) |
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7.7.1 Concept of quantitative risk assessment |
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287 | (1) |
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7.7.2 Method for quantitative risk assessment |
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288 | (1) |
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7.7.2.1 Likelihood of landslide |
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288 | (1) |
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7.7.2.2 Vulnerability analysis |
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289 | (1) |
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289 | (1) |
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7.7.3 Risk acceptance criteria |
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290 | (3) |
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293 | (6) |
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8 Probabilistic assessment of randomly heterogeneous soil slopes |
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299 | (30) |
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8.1 Spatial variability of soils |
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299 | (1) |
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300 | (6) |
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8.2.1 Concept of random field |
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300 | (1) |
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8.2.2 Spatial-averaged soil properties |
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301 | (1) |
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8.2.3 Definitions in geostatistics |
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302 | (1) |
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8.2.4 Reported statistics of spatial variability |
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303 | (3) |
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8.3 Modeling of random field |
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306 | (5) |
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8.3.1 Covariance matrix decomposition method |
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306 | (1) |
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8.3.2 Fourier transformation methods |
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307 | (1) |
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8.3.3 Turning bands method |
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308 | (1) |
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8.3.4 Karhunen--Loeve expansion method |
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309 | (1) |
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309 | (1) |
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8.3.6 Sequential simulation method |
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310 | (1) |
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8.4 Seepage and stability of a randomly heterogeneous slope under rainfall infiltration |
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311 | (18) |
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8.4.1 Slope geometry and boundary conditions |
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311 | (1) |
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8.4.2 Soil properties and generation of random field |
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311 | (4) |
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8.4.3 Methodology of stochastic modeling |
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315 | (1) |
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8.4.3.1 Seepage and slope stability analysis |
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315 | (1) |
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8.4.3.2 Mapping of saturated permeability on finite element seepage analysis |
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315 | (1) |
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8.4.3.3 Stochastic analysis by Monte Carlo simulation technique |
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315 | (1) |
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8.4.4 Results and discussion |
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316 | (1) |
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8.4.4.1 Influence of soil spatial variability on pressure head profiles |
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316 | (4) |
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8.4.4.2 Influence of soil spatial variability on variations of groundwater table |
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320 | (1) |
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8.4.4.3 Effects of correlation length of ln ks on factor of safety |
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321 | (2) |
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8.4.4.4 Groundwater conditions corresponding to the maximum and minimum factors of safety |
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323 | (1) |
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323 | (6) |
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9 Probabilistic model calibration |
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329 | (36) |
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329 | (1) |
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9.2 Probabilistic model calibration within Bayesian framework |
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330 | (3) |
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9.2.1 Parameter estimation with known model error |
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330 | (1) |
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9.2.2 Simultaneous estimation of model error and input parameters |
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331 | (1) |
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9.2.3 Probabilistic parameter estimation based on time-varied measurement |
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332 | (1) |
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9.3 Markov chain Monte Carlo simulation method |
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333 | (3) |
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9.3.1 Metropolis algorithm |
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333 | (1) |
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9.3.2 Differential evolution adaptive metropolis algorithm |
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334 | (2) |
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9.4 Procedures for probabilistic model calibration and prediction |
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336 | (1) |
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9.4.1 Approximation of the implicit prediction model using response surface |
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336 | (1) |
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9.4.2 General procedures of probabilistic model calibration and prediction |
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337 | (1) |
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9.5 Example 1: A cut slope failure |
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337 | (9) |
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9.5.1 Model uncertainty and prior knowledge about uncertain parameters |
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338 | (1) |
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9.5.2 Construction of response surface |
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339 | (1) |
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9.5.3 Back analysis using the MCMC simulation |
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339 | (4) |
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9.5.4 Application in remediation design |
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343 | (2) |
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9.5.5 Effect of prior distribution |
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345 | (1) |
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9.5.6 Comparison with the method based on sensitivity analysis |
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345 | (1) |
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9.6 Example 2: 1997 Lai Ping Road landslide |
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346 | (4) |
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9.6.1 Introduction of the 1997 Lai Ping Road landslide |
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346 | (1) |
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9.6.2 Back analysis using the MCMC simulation |
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347 | (1) |
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9.6.3 Effect of uncertainty of model error |
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347 | (3) |
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350 | (1) |
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9.7 Example 3: An instrumented site of natural terrain in Hong Kong |
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350 | (15) |
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9.7.1 Introduction of the instrumented site |
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350 | (3) |
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9.7.2 Probabilistic parameter estimation |
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353 | (1) |
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9.7.3 Results and discussions |
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354 | (1) |
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9.7.3.1 Posterior distribution of input parameters |
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354 | (2) |
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9.7.3.2 Uncertainty in prediction for the calibration periods |
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356 | (1) |
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9.7.3.3 Uncertainty in prediction for the validation periods |
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357 | (2) |
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9.7.3.4 Uncertainty in predicted safety factor of the slope |
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359 | (1) |
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9.7.3.5 Predicted pore-water pressure at different locations |
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360 | (2) |
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9.7.4 Limitations and discussion |
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362 | (1) |
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362 | (3) |
Index |
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365 | |