This book is written by subject experts based on the latest research results on the characteristic line method of stress wave propagation in rock masses. It establishes a framework for stress wave propagation analysis methods under three levels of rocks, joints and rock masses. It introduces the two-characteristic line method for stress wave propagation in rocks, and further illustrates the modified characteristic line method for stress wave propagation in complex jointed rock masses. The split three- characteristic line method was proposed for stress wave propagation in rock masses with macro-joints and micro-defects. The book focuses on the basic theory, and highlights the ideas, methods and steps to solve the problem of stress wave propagation in rock masses. This book can be used as a reference book for researchers of research institutes engaged in analyzing, predicting and controlling dynamic stability in rock, geological, and mining engineering.
Table of Contents
1 Introduction
1.1 Background
1.2 Stare of the Art of Wave Propagation in the Rock Mass
1.2.1 Wave Propagation in the Micro-Defected Rock Mass
1.2.2 Wave Propagation in Jointed Rock Mass
1.2.3 Wave Propagation Through the Rock Mass with Double-Scale Discontinuities
References
2 Basic Theory of Stress Wave
2.1 Basic Concept of Stress Wave
2.2 Reflection and Transmission of Stress Wave
2.2.1 Reflection and Transmission of Stress Waves at Interfaces
2.2.2 Reflection of Stress Waves at the Fixed and Free Ends
3 Two-Characteristic Method for the Wave Propagation Through Intact Rock
3.1 Establishment of the Characteristic Method
3.1.1 Governing Equations for Stress Wave Propagation
3.1.2 Two-Characteristic Method and Compatibility Relationship of Two-Characteristic Method
3.2 Propagation of Stress Wave in Intact Rock
4 Two-Characteristic Method for the Wave Propagation Through Joint
4.1 Stress Wave Propagation Through Linearly Deformational
4.2 Stress Wave Propagation Through Nonlinearly Deformational
4.3 Stress Wave Propagation Through Joints with Different Loading/Unloading Deformation
4.3.1 Wave Propagation Equations
4,3.2 Comparison of Results with and Without Unloading
4.3.3 Stress Wave Propagation Properties
4.4 Stress Wave Propagation Through Joints Under In Situ Stress
4.4.1 A Displacement Discontinuity Method for Considering In Situ Stress
4.4.2 Amplitude-Dependence of Seismic Wave Propagation
4.4.3 Frequency-Dependence of Seismic Wave Propagation
4.4.4 Effect of In Situ Stress on Wave Attenuation
References
5 Two-Characteristic Method for the Wave Propagation Through Complex Stratus Rock Mass
5.1 Stress Wave Propagation Through Complex Rock Mass with Linearly Deformational Joints
5.1.1 A Modified Characteristic Method
5.1.2 Wave Propagation Through Complex Rock Mass
5.1.3 Wave Transmission and Effective Velocity
5.2 Stress Wave Propagation Through Complex Rock Mass with Nonlinearly Deformational Joints
5.2.2 Stress Wave Transmission in a Nonlinearly Jointed
5.3 Reflection of Stress Wave Through Complex Jointed Rock
5.3.1 Theoretical Study of Reflected Wave in Jointed Rock
References
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6 Two-Characteristic Method for the Wave Propagation Through Complex Stratus Rock Mass with Parallel Joints
7 Three-Characteristic Method for the Wave Propagation Through Micro-Defected Rock Mass
8 A Split Three-Characteristic Method for Stress Wave Propagation Through Rock Mass with Double-Scale Discontinuities
9 Dual-Mesh Three-Characteristic Method for Stress Wave Propagation Through the Micro-Defected Rock Mass with a Thin Layer-Filled Macro-Joint
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The Method of Characteristics for Stress Wave Propagation in the Rock Mass
