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研究生: 馬傑仁
Joram Joseph Wachira Mburu
論文名稱: 降雨入滲及參數選擇對非飽和邊坡穩定性影響的數值研究
Numerical Investigations of the Effects of Rainfall Infiltration and Parameter Selection on Unsaturated Silty Slopes
指導教授: 李安叡
An-Jui Li
口試委員: 張光宗
Kuang Tseng Chang
洪汶宜
Wen-Yi Hung
林宏達
Horn-Da Lin
楊國鑫
Kuo-Hsin Yang
鄧福宸
Fuchen Teng
學位類別: 博士
Doctor
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 英文
論文頁數: 316
外文關鍵詞: Unsaturated silty slopes
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  • Unsaturated soil slopes are often encountered in most of the Civil
    Engineering infrastructure such as retaining walls, dams, road
    embankments and mining pits. Rapid population and economic growth in
    hilly urban areas such as Hong Kong and Northern Taiwan and the
    recurrent rainfall-induced landslide problem have greatly increased the
    attention given to slope stability problems. Yet, unsaturated soil theory is
    not commonly used in geotechnical practice. Direct measurement of
    unsaturated soil parameters is time consuming and expensive, there is also
    a resistance to change established design methods and a lack of practical
    examples incorporating unsaturated soil theory in routine geotechnical
    practice. While it is acknowledged that numerous studies have been
    conducted on unsaturated slope stability, most of these studies have
    considered individual cases with a limited range of parameters.
    This study conducted a series of numerical parametric studies on
    unsaturated silty slopes based on regional slope and hydrological
    parameters considering no infiltration conditions, 1D long-term infiltration and 2D transient infiltration to narrow down on parameters of engineering
    importance and identify the parameter range where suction strength
    significantly affects ???. Given the design factor of safety of slopes under
    normal conditions in Taiwan is 1.5, slope cases of engineering interest
    were considered to have ??? between 1.0 and 1.5 after considering the
    effects of rainfall infiltration.
    Firstly, a numerical study on unsaturated silty slopes under no infiltration
    conditions was conducted. The numerical model was first validated using
    two cases, one was a hypothetical case, the other a small scale landslide
    case. In the latter, the use of pedo-transfer functions was demonstrated as
    an alternative to obtaining unsaturated soil parameters. For the parametric
    study, the water table was identified as the main controlling parameter of
    the effects of suction strength on slope stability. By comparing the ???
    between cases with suction and without suction, it was observed that the
    suction effects were most significant for slopes with ? ≤ 30 m and water
    table below the mid-slope range, ??⁄? ≤ 0.5, with a ??? % difference
    ≥ 5 %.
    Secondly, the effects of 1D steady rainfall infiltration on unsaturated silty
    slopes were examined to give insight on what slope conditions the matric
    suction can still exist in the long-term condition. Practical procedures were
    proposed on the slope conditions where the suction strength significantly
    influenced the slope long-term stability. The borderline silt/clay slopes
    possessed significant apparent cohesion for a broad variety of parameters
    including infiltration rate, ?⁄?? = 0 - 0.5, water table, ??⁄? ≤ 0.3, slope
    height, ? = 10 - 30 m. Borderline sand/silt slopes possessed significant
    apparent cohesion over a narrower parameter range, ?⁄?? = 0.3 - 0.6, water
    table, ??⁄? ≤ 0.0, slope height, ? = 10 m.
    Thirdly, a review of common geotechnical software on numerical analyses
    of unsaturated slope case studies under two-dimensional transient rainfall
    infiltration effects was carried out. The aim was to highlight the software
    capability to analyze typical rainfall-related slope problems and provide
    useful information to the users on important factors that may affect the
    software output. Distinct coupling approaches, failure modes and failure
    search criteria caused significant differences in the initial stages of rainfall
    infiltration. At critical conditions, most software programs yielded similar
    output having ??? differences ≤ 20 % . The ??
    largely determined the
    failure time and hydrological response of unsaturated slopes to rainfall
    infiltration.
    The final section consisted of a parametric study considering the effects of
    two-dimensional transient rainfall infiltration on unsaturated silty slopes
    based on regional slope and hydrological parameters. Generally, the main
    rainfall-induced failure mechanisms were observed to be wetting front
    advancement, loss in suction and a rise in the water table, which reconfirms
    previous findings in literature. This study went a step further to establish
    hydraulic parameter boundaries and link the slope parameter selection to
    the expected failure mechanism. Based on this study's findings, practical
    suggestions are given for slope design, monitoring and disaster mitigation
    in geotechnical practice.

    ACKNOWLEDGEMENTS . . . . . . . . . . . . . . . . . . . . . . i ABSTRACT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii TABLE OF CONTENTS . . . . . . . . . . . . . . . . . . . . . . . v LIST OF FIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . xii LIST OF TABLES . . . . . . . . . . . . . . . . . . . . . . . . . . xxx LIST OF SYMBOLS . . . . . . . . . . . . . . . . . . . . . . . . . xxxiv 1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Research Background . . . . . . . . . . . . . . . . . . . . 1 1.2 Research Objectives . . . . . . . . . . . . . . . . . . . . . 7 1.3 Dissertation Organization . . . . . . . . . . . . . . . . . . 9 2 LITERATURE REVIEW . . . . . . . . . . . . . . . . . . . . . 13 2.1 Unsaturated Soil Mechanics . . . . . . . . . . . . . . . . 13 2.1.1 Basic terminology in unsaturated soils . . . . . . . 13 2.1.2 Determination of Unsaturated Soil Properties . . . 24 2.1.3 SWCC Equations . . . . . . . . . . . . . . . . . . 32 2.1.4 Permeability Function Equations . . . . . . . . . . 41 2.1.5 Shear Strength of Unsaturated Soil . . . . . . . . . 45 2.2 Flow in Unsaturated Soil . . . . . . . . . . . . . . . . . . 60 2.2.1 Application of Richard’s Equation to Rainfall Seepage Analysis . . 63 2.2.2 FE seepage formulations in software programs . . 66 2.3 Contributing Factors to Rainfall-Induced Slope Failure . . 69 2.3.1 Slope Geometry . . . . . . . . . . . . . . . . . . 69 2.3.2 Soil Mechanical Properties . . . . . . . . . . . . . 70 2.3.3 Soil Hydraulic Properties . . . . . . . . . . . . . . 71 2.3.4 Rainfall Characteristics . . . . . . . . . . . . . . . 73 2.4 Rainfall-induced Slope Failure Mechanisms . . . . . . . . 76 2.5 Slope Stability Analysis Methods . . . . . . . . . . . . . . 79 2.5.1 Coupled and Uncoupled Analysis . . . . . . . . . 80 2.5.2 Limit Equilibrium Method (LEM) . . . . . . . . . 81 2.5.3 Finite Element Method (FEM) . . . . . . . . . . . 86 3 NUMERICAL STUDY ON UNSATURATED SILTY SLOPES UNDER NO INFILTRATION CONDITIONS . . . . . . . . . . 90 3.1 Problem Introduction . . . . . . . . . . . . . . . . . . . . 90 3.2 Numerical Modelling . . . . . . . . . . . . . . . . . . . . 92 3.2.1 Strength Reduction Finite Element Analysis (SRFEA) . . . . . . . 92 3.2.2 Finite Element Limit Analysis (FELA) . . . . . . 93 3.3 Slope Model Development . . . . . . . . . . . . . . . . . 94 3.3.1 Boundary conditions . . . . . . . . . . . . . . . . 94 3.3.2 Mesh and Discretization . . . . . . . . . . . . . . 95 3.4 Numerical Verification . . . . . . . . . . . . . . . . . . . 99 3.4.1 Case 1 - Hypothetical case (without suction) . . . 99 3.4.2 Case 2 - Small-scale landslide experiment (with suction) . . . . . 101 3.5 Slope Geometry and Soil Parameters . . . . . . . . . . . . 103 3.6 The Total Cohesion Method in Slope Stability Analysis . . 104 3.7 Results and Discussion . . . . . . . . . . . . . . . . . . . 105 3.7.1 Influence of Input Parameters on Slope Stability . 106 3.7.2 Stability Charts Validation - Case 1 . . . . . . . . 113 3.7.3 Stability Charts Validation - Case 2 . . . . . . . . 121 3.7.4 Shear Strain-based Failure Surfaces . . . . . . . . 124 3.7.5 Summary of Important Findings . . . . . . . . . . 128 4 NUMERICAL STUDY ON UNSATURATED SILTY SLOPES CONSIDERING 1D STEADY INFILTRATION EFFECTS . . . 130 4.1 Problem Introduction . . . . . . . . . . . . . . . . . . . . 130 4.2 Numerical Model and Slope Parameters . . . . . . . . . . 133 4.3 Examination of key parameters influencing the stability of unsaturated slopes . . . . . . . . . . . . . . . . . . . . . . 138 4.3.1 Sensitivity Analysis of Study Parameters . . . . . 139 4.3.2 Effect of hydraulic parameters on the apparent cohesion profile . . . . 140 4.3.3 Effect of q/ks on the apparent cohesion profile . . 142 4.3.4 Effect of the slope height on the contribution of capp and F oS . . . . . . . . . . . . . . . . . . . . . . 148 4.4 Identification of slope parameters for incorporation of apparent cohesion . . . . . . . . . . . . . . . . . . . . . . . 150 4.5 Summary of Important Findings . . . . . . . . . . . . . . 153 5 A SOFTWARE COMPARATIVE REVIEW ON NUMERICAL ANALYSIS OF UNSATURATED SLOPES UNDER 2D TRANSIENT INFILTRATION CONDITIONS . . . . . . . . . . 155 5.1 Problem Introduction . . . . . . . . . . . . . . . . . . . . 155 5.2 Case 1 - Hypothetical Slope Case . . . . . . . . . . . . . . 157 5.2.1 Seepage and Stability Modeling . . . . . . . . . . 159 5.2.2 Comparison of software output and case study results162 5.3 Case 2 - Full-Scale Landslide Flume Test . . . . . . . . . 176 5.3.1 Case Study Introduction . . . . . . . . . . . . . . 176 5.3.2 Development of the Numerical Model . . . . . . . 181 5.3.3 Comparison of Numerical Results with Experimental Results . . . . . 187 5.4 Software inconsistencies and limitations . . . . . . . . . . 200 5.4.1 Hydraulic parameters . . . . . . . . . . . . . . . . 200 5.4.2 Application of rainfall flux . . . . . . . . . . . . . 202 5.5 Summary of Important Findings . . . . . . . . . . . . . . 204 6 PARAMETER SELECTION AND THE FAILURE MECHANISM OF UNSATURATED SILTY SLOPES UNDER 2D TRANSIENT INFILTRATION CONDITIONS . . . . . . . . . . . . . . . . . 207 6.1 Problem Introduction . . . . . . . . . . . . . . . . . . . . 207 6.2 Numerical Model Development . . . . . . . . . . . . . . 210 6.2.1 Boundary conditions and Mesh details . . . . . . . 210 6.2.2 Seepage Analysis . . . . . . . . . . . . . . . . . . 211 6.2.3 Stability Analysis . . . . . . . . . . . . . . . . . . 212 6.3 Selection of input parameters . . . . . . . . . . . . . . . . 212 6.3.1 Rainfall data . . . . . . . . . . . . . . . . . . . . 212 6.3.2 Ground water level data . . . . . . . . . . . . . . 215 6.3.3 Soil mechanical and hydraulic parameters . . . . . 218 6.4 Results and Discussion . . . . . . . . . . . . . . . . . . . 224 6.4.1 Comparison of Geo-studio and PLAXIS 2D output 224 6.4.2 Influence of ks on the slope hydraulic response to rainfall infiltration . . . . . . . . . . . . . . . . . 230 6.4.3 Influence of effective water content (θs−θr) on the slope hydraulic response to rainfall infiltration . . 239 6.4.4 Influence of slope angle, β, on the slope hydraulic response to rainfall infiltration . . . . . . . . . . . 244 6.4.5 Influence of slope height, H on the slope hydraulic response to rainfall infiltration . . . . . . . . . . . 247 6.4.6 Linkage of parameter selection to slope failure mechanism . . 257 6.4.7 Summary of Important Findings . . . . . . . . . . 289 6.4.8 Relevance of Findings to Slope Stability Practice . 290 7 CONCLUSIONS AND FUTURE WORK . . . . . . . . . . . . 295 7.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . 295 7.2 Future Work . . . . . . . . . . . . . . . . . . . . . . . . . 298 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 LIST OF PUBLICATIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . 316

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