1 Introduction
1.1 Introduction
1.2 Hot Research Topics
1.3 Outline of the Book
References
2 Recent Advances
2.1 Introduction
2.2 Waves Propagating over a Porous Seabed: Theoretical Models
(Transient Mechanism)
2.2.1 Un-coupled Models (or Drained Models)
2.2.2 Biot's Consolidation Model (Quasi-Static Model)
2.2.3 u-p Approximation
2.2.4 Dynamic Models
2.2.5 Poro-Elastoplastic Models
2.3 Waves Propagating over a Porous Seabed: Theoretical Model
(Residual Mechanism)
2.4 Waves Propagating over a Porous Seabed: Physical Modeling
2.4.1 Field Measurements
2.4.2 Laboratory Experiments
2.5 Waves Propagating over a Porous Seabed: Wave Damping
and Seepage Flux
2.5.1 Wave Damping in a Porous Seabed
2.5.2 Wave-Driven Seepage Flux in Sediments
2.6 Wave-Induced Seabed Instability
2.6.1 Shear Failure
2.6.2 Liquefaction
References
3 Wave-Induced Soil Response in an Isotropic Seabed
3.1 Introduction
3.2 A Short-Crested Wave System
3.3 Boundary Value Problem
3.3.1 Governing Equations
3.3.2 Boundary Conditions
3.4 General Solutions
3.4.1 Basic Theoretical Framework
3.4.2 Soil Response in a Seabed of Infinite Thickness
3.4.3 Soil Response in a Porous Seabed of Finite Thickness
3.4.4 Soil Response in a Layered Seabed
3.4.5 Limiting Two-Dimensional Conditions
3.4.6 A Special Case: Fully Saturated Isotropic Seabed
of Infinite Thickness
3.5 Verification
3.5.1 Comparison with Two-Dimensional Experimental Data
3.5.2 Comparison with Two-Dimensional Analytical Solutions
3.5.3 Comparison with Numerical Model [18, 40, 41]
3.6 Results and Discussion
3.6.1 Effect of Wave Characteristics
3.6.2 Effect of Soil Characteristics
3.6.3 Effect of a Combined Obliquity-Permeability Parameter
3.6.4 Effect of a Top Layer
3.7 Summary
3.8 List of Coefficients Bi and Ci
References
Wave-Induced Seabed Instability
4.1 Introduction
4.2 Shear Failure
4.2.1 Principal Stresses
4.2.2 Mohr-Coulomb's Criterion
4.3 Soil Liquefaction
4.3.1 Excess Pore Pressure
4.3.2 Criteria of Liquefaction
4.3.3 Seepage Force
4.4 Wave-Induced Seabed Instability
4.4.1 Effect of Wave Characteristics
4.4.2 Effect of Soil Characteristics
4.4.3 Effect of Combined Obliquity-Permeability Parameter
4.4.4 Temporal Variation in Wave-Induced Liquefaction
4.5 Seabed Protection
4.5.1 Effects of a Top Layer
4.5.2 Methodology of Seabed Protection
4.6 Summary
References
Wave-Induced Seabed Response in Non-homogeneous Anisotropic
Seabed
5.1 Introduction
5.2 Analytical Solution for a Seabed with Variable Permeability
5.2.1 Boundary Value Problem
5.2.2 General Solutions
5.2.3 Results and Discussion
5.2.4 Summary
5.3 Analytical Solution for a Cross-Anisotropic Seabed
5.3.1 Cross-Anisotropic Soil
5.3.2 Boundary Value Problem
5.3.3 General Solutions
5.3.4 Results and Discussion
5.3.5 Effect of Anisotropic Constant A
5.3.6 Effect of the Degree of Saturation
5.3.7 Summary
5.4 Numerical Model for Seabed Response in Anisotropic Seabed
with Variable Soil Characteristics
5.4.1 Boundary Value Problem
5.4.2 Wave-Induced Seabed Response
5.4.3 Wave-Induced Liquefaction
5.4.4 Summary
5.5 Appendix: Exact Solutions of Linear Variable Coefficient Equations
5.6 Appendix: Finite Element Formulations
References
Dynamic Analysis for Wave-seabed Interaction
6.1 Introduction
6.2 Boundary Value Problem
6.2.1 Basic Ocean Wave Theory
6.2.2 Governing Equations
6.2.3 Boundary Conditions
6.3 General Solutions
6.3.1 Basic Framework
6.3.2 A Seabed of Finite Thickness
6.3.3 A Seabed of Infinite Thickness
6.4 Simplified Solution
6.4.1 u-p Approximation
6.4.2 Quasi-Static Approximation
6.5 Numerical Results and Discussions
6.5.1 Effects of Dynamic Soil Behavior
6.5.2 Effects of Soil Characteristics
6.5.3 Effects of Wave Characteristics
6.6 When Should Dynamic Soil Behavior Be Considered?
References
Wave Propagation over Coulomb-Damped Seabed
7.1 Introduction
7.2 Coulomb-Damping Poro-Elastic Seabed
7.3 Boundary Value Problem
7.3.1 Governing Equations
7.3.2 Boundary Condition
7.4 General Solutions
7.4.1 Analytical Solution for a Seabed of Finite Thickness
7.4.2 Analytical Solution for an Infinite Seabed
7.4.3 Verification
7.5 Results and Discussions
7.5.1 Effects of Coulomb-Damping Friction and Fluid
Acceleration
7.5.2 Response of Seabed to Ocean Waves
7.6 Summary
7.7 Appendix: List of Coefficients a1-a6
References
8 Random Wave-Induced Seabed Response
8.1 Introduction
8.2 Random Waves
8.2.1 Random Wave Generation
8.2.2 Random Wave Simulation
8.2.3 Random Wave Validation
8.2.4 Statistic Features of the Simulated Random Waves
8.2.5 Representative Regular Wave
8.3 Wave-Induced Oscillatory Soil Response
8.3.1 Boundary Vale Problem
8.3.2 Analytical Solutions
8.4 Numerical Results
8.4.1 Comparison Between Regular and Random Wave-Induced
Soil Responses
8.4.2 Effect of Soil Parameters on Random Wave-Induced Soil
Response
8.4.3 Effect of Wave Characteristics on Random Wave-Induced
Soil Response
8.4.4 Effect of Seabed Thickness on Random Wave-Induced
Soil Response
8.5 Summary
References
9 Wave-Induced Pore Pressure Accumulation in Marine Sediments
9.1 Introduction
9.2 Boundary Value Problem
9.3 Source Term
9.3.1 Nonlinear Mechanism of Pore Pressure Generation
9.3.2 Linear Mechanism of Pore Pressure Generation
9.4 Theoretical Models
9.4.1 Analytical Approximation for Linear Mechanism
9.4.2 Numerical Scheme
9.4.3 Comparisons
9.5 Parametric Study
9.6 A Simplified Approximation for an Infinite Seabed
9.6.1 Scaling Analysis
9.6.2 A Simplified Approximation for Wave-Induced
Liquefaction
9.7 Summary
9.8 Appendix: Mathematical Derivation of Analytical Solutions
9.8.1 Finite Soil Model
9.8.2 Shallow Soil Model
9.8.3 Deep Soil Model
References
10 Wave-Induced Progressive Liquefaction in a Porous Seabed
10.1 Introduction
10.2 Two-Layered Fluid System
10.2.1 Two-Layered Inviscid Fluid Model
10.2.2 Two-Layered Viscid Fluid Model
10.3 Poro-Elastoplastic Soil Model
10.3.1 Boundary Value Problem
10.3.2 Cyclic Shear Stress in an Infinite Seabed
10.3.3 Cyclic Shear Stress in a Seabed of Finite Thickness
10.3.4 Numerical Scheme and Procedure
10.4 Results and Discussions
10.4.1 Comparison with Sassa's Model [6]
10.4.2 Viscous Effect and the Influence of Shear Stress
10.4.3 Effect of Parameters a，β and R in the Build-Up Pattern
10.4.4 Effect of Wave and Soil Characteristics
10.4.5 Pore Pressure History
10.5 Summary
References
Index
