Rainfall Infiltration in Unsaturated Soil Slope Failure

This is an open access book. The aim of this book is to provide a thorough grounding in rainfall-induced landslides from three aspects: the coupling effect of hydraulic and mechanic; the analytical, numerical, and physical simulation methods, and the controlling factors underlying the problem of rai...

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Hlavní autoři: Wu, Lizhou, Zhou, Jianting
Médium: E-kniha
Jazyk:angličtina
Vydáno: Singapore Springer Nature 2023
Springer
Vydání:1
Edice:SpringerBriefs in Applied Sciences and Technology
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ISBN:9789811997365, 9811997373, 9811997365, 9789811997372
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  • Intro -- Foreword by Jianbing Peng -- Foreword by Huiming Tang -- Foreword by Limin Zhang -- Preface -- Contents -- 1 Background -- 1.1 Rainfall Infiltration Equation -- 1.2 Infiltration Equation for Unsaturated Slopes -- 1.3 Linearized Richards' Equation -- 1.4 Unsaturated Soil Slope Stability Under Rainfall -- References -- 2 Analytical Solution to Unsaturated Infiltration -- 2.1 Introduction -- 2.2 1D Analytical Solutions for Unsaturated Seepage -- 2.2.1 No Coupling -- 2.2.2 Hydro-mechanical Coupling -- 2.3 2D Analytical Solutions of Rainfall Infiltration in Unsaturated Soils -- 2.4 Analytical Solution of Water Infiltration of Vegetated Slope Considering the Coupling Effects -- 2.4.1 Governing Equations of Rooted Unsaturated Soils -- 2.4.2 Analytical Solutions -- 2.4.3 Comparison of Analytical and Numerical Solutions -- 2.4.4 Parametric Analyses -- 2.5 Discussions and Conclusions -- 2.5.1 Discussions -- 2.5.2 Conclusions -- References -- 3 Numerical Solutions to Infiltration Equation -- 3.1 Introduction -- 3.2 Numerical Solutions -- 3.2.1 Finite Difference Method -- 3.2.2 Finite Volume Method -- 3.2.3 Finite Element Method -- 3.2.4 Numerical Approximation to the Fractional-Time Richards' Equation -- 3.3 An Improved Method for Non-uniform Spatial Grid -- 3.3.1 Validation Example -- 3.3.2 Unsaturated Infiltration in Layered Soils -- 3.4 Application of Chebyshev Spectral Method to Richards' Equation -- 3.4.1 Chebyshev Spectral Method -- 3.4.2 Validation Example -- 3.5 Conclusions -- References -- 4 Improved Linear and Nonlinear Iterative Methods for Rainfall Infiltration Simulation -- 4.1 Introduction -- 4.2 A Chebyshev Semi-iterative Method with Preconditioner -- 4.2.1 Numerical Tests -- 4.3 Improved Gauss-Seidel Method -- 4.3.1 Integral Correction Method -- 4.3.2 Multistep Preconditioner Method -- 4.3.3 Mixed Method -- 4.3.4 Numerical Tests
  • 4.4 Nonlinear Iterative Methods and Improvements -- 4.4.1 Newton and Picard Methods -- 4.4.2 Improved Picard Method -- 4.4.3 Numerical Tests-1D Transient Unsaturated Infiltration -- 4.5 Conclusions -- References -- 5 Slope Stability Analysis Based on Analytical and Numerical Solutions -- 5.1 Introduction -- 5.2 Application of Unsaturated Soil Slope Stability Under Rainfall -- 5.2.1 Application of Chebyshev Spectral Method in Slope Stability Analysis -- 5.2.2 Application of P-CSIM in the Stability Analysis of Shallow Rainfall Slope -- 5.2.3 Application of Improved Picard Method into Unsaturated Slopes -- 5.2.4 Parameter Sensitivity Analysis of Slope Stability Under Rainfall -- 5.3 Rainfall Landslide Case Study-Tung Chung Landslide -- 5.4 Conclusions -- References -- Correction to: Rainfall Infiltration in Unsaturated Soil Slope Failure -- Correction to: L. Wu and J. Zhou, Rainfall Infiltration in Unsaturated Soil Slope Failure, SpringerBriefs in Applied Sciences and Technology, https://doi.org/10.1007/978-981-19-9737-2