Rainfall Infiltration in Unsaturated Soil Slope Failure

Authors: Lizhou Wu, Jianting Zhou

Publisher: Springer Nature Singapore

Book Series : SpringerBriefs in Applied Sciences and Technology

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

Table of Contents

About this book

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 rainfall-induced landslides. The improved numerical methods, nonlinear, and linear iterative methods which can be used to address the related unsaturated infiltration problems are also presented. This book is an essential reading for researchers and graduate students who are interested in rainfall infiltration, landslides, slope stability, and geohazards in fields of civil engineering, engineering geology, and earth science. The book is written to guide professional engineers and practitioners in slope engineering and geohazard management. This book can enhance their understanding of rainfall-induced landslides, help them analyze a specific problem, prevent landslides, and design engineering slopes according to the local soil and climate conditions.

Frontmatter

PDF

Open Access

Chapter 1. Background

Abstract

Heavy rainfall in extreme climates often causes natural disasters such as floods, landslides, and debris flows. Rainfall-induced slope instabilities are major geological natural disasters (Glade in Environ Geol 35:160–174, 1998; Dai et al. in Eng Geol 51:279–290, 1999; Iverson in Water Resour Res 36:1897–1910, 2000; Lee and Pradhan in Landslides 4:33–41, 2007; Li et al. in Landslides 13:1109–1123, 2016a; Li et al. in Ecol Eng 91:477–486, 2016b; Wu et al. in Hydro-mechanical analysis of rainfall-induced landslides. Springer, 2020) that can result in considerable loss of life and damage to infrastructure. Extreme events such as storms, which are becoming more severe because of climate change, can trigger fatal landslides.

Lizhou Wu, Jianting Zhou

PDF View full text

Open Access

Chapter 2. Analytical Solution to Unsaturated Infiltration

Abstract

Rainfall infiltration in unsaturated soil slopes is a classic issue in geotechnical engineering (Conte and Troncone in Géotechnique 62:87–91, 2012; Morbidelli et al. in J Hydrol 557:878–886, 2018). Factors influencing the soil slope stability due to rainwater infiltration comprise the rainfall characteristics, the saturated permeability coefficient, the geometry of the slope, and the boundary and initial soil moisture conditions (Ali et al. in Comput Geotech 61:341–354, 2014; Wu et al. in Hydro-mechanical analysis of rainfall-induced landslides. Springer, 2020).

Lizhou Wu, Jianting Zhou

PDF View full text

Open Access

Chapter 3. Numerical Solutions to Infiltration Equation

Abstract

Unsaturated infiltration issues occur in many fields, such as rainfall-induced soil slope failures (Wu et al. in Hydro-mechanical analysis of rainfall-induced landslides. Springer, 2020a; Wu et al. in Appl Math Model 80:408–425, 2020b; Jiang et al. in Eng Comput 38:1–14, 2022), solute migration simulation (Cross et al. in Adv Water Resour 136, 2020), and coal seam water injection and coalbed methane extraction (Liu et al. 2018; Wang et al. in J Comput Appl Math 367, 2020).

Lizhou Wu, Jianting Zhou

PDF View full text

Open Access

Chapter 4. Improved Linear and Nonlinear Iterative Methods for Rainfall Infiltration Simulation

Abstract

The linear infiltration equations obtained by discretizing Richards’ equation need to be solved iteratively, including two approaches of linear and nonlinear iterations. The first method is to use numerical methods to directly numerically discretize Richards’ equations to obtain nonlinear ordinary differential equations and then use nonlinear iterative methods to iteratively solve, such as Newton’s method (Radu et al. in On the convergence of the Newton method for the mixed finite element discretization of a class of degenerate parabolic equation. Numerical mathematics and advanced applications. Springer, pp 1194–1200, 2006), Picard method (Lehmann and Ackerer 1998), and the L-method (List and Radu 2016). The Picard method can be considered as a simplified Newton method, which linearly converges.

Lizhou Wu, Jianting Zhou

PDF View full text

Open Access

Chapter 5. Slope Stability Analysis Based on Analytical and Numerical Solutions

Abstract

Infiltration into soil slopes is a fundamental concern in civil engineering. Rainfall infiltration leads to changes in pore-water pressure and reduces matric suction in soils, making it one of the main triggers of slope failure (Ali et al. in Comput Geotech 61:341–354, 2014; Wu et al. in Hydro-mechanical analysis of rainfall-induced landslides. Springer, 2020). Slope instabilities caused by water infiltration are called rainfall-induced landslides (Xu and Zhang in Landslides 7:149–156, 2010; Wu et al. in Hydro-mechanical analysis of rainfall-induced landslides. Springer, 2020).

Lizhou Wu, Jianting Zhou

PDF View full text

Open Access

6. Correction to: Rainfall Infiltration in Unsaturated Soil Slope Failure

Lizhou Wu, Jianting Zhou

PDF View full text

Title: Rainfall Infiltration in Unsaturated Soil Slope Failure
Authors: Lizhou Wu
Jianting Zhou
Publisher: Springer Nature Singapore
Electronic ISBN: 978-981-19-9737-2
Print ISBN: 978-981-19-9736-5
DOI: https://doi.org/10.1007/978-981-19-9737-2