Rainfall Infiltration in Unsaturated Soil Slope Failure.
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Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Singapore :
Springer Singapore Pte. Limited,
2023.
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Edition: | 1st ed. |
Series: | SpringerBriefs in Applied Sciences and Technology Series
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Subjects: | |
Online Access: | Click to View |
Table of Contents:
- 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.