Rainfall Infiltration in Unsaturated Soil Slope Failure.

Bibliographic Details
Main Author: Wu, Lizhou.
Other Authors: Zhou, Jianting.
Format: eBook
Language:English
Published: Singapore : Springer Singapore Pte. Limited, 2023.
Edition:1st ed.
Series:SpringerBriefs in Applied Sciences and Technology Series
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.