Description
Efnisyfirlit
- Half-title page
- Endorsement page
- Title page
- Copyright page
- Brief Contents
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 1.1 A Brief History of Seismology
- 1.1.1 Recent Advances
- 1.2 Exercises
- 2 Stress and Strain
- 2.1 The Stress Tensor
- 2.1.1 Example: Computing the Traction Vector
- 2.1.2 Principal Axes of Stress
- 2.1.3 Example: Computing the Principal Axes
- 2.1.4 Deviatoric Stress
- 2.1.5 Values for Stress
- 2.2 The Strain Tensor
- 2.2.1 Values for Strain
- 2.2.2 Example: Computing Strain for a Seismic Wave
- 2.3 The Linear Stress–Strain Relationship
- 2.3.1 Units for Elastic Moduli
- 2.4 Exercises
- 3 The Seismic Wave Equation
- 3.1 Introduction: The Wave Equation
- 3.2 The Momentum Equation
- 3.3 The Seismic Wave Equation
- 3.3.1 Potentials
- 3.4 Plane Waves
- 3.4.1 Example: Harmonic Plane Wave Equation
- 3.5 Polarizations of P- and S-Waves
- 3.6 Spherical Waves
- 3.7 Methods for Computing Synthetic Seismograms[sup(†)]
- 3.7.1 Discrete Modeling Methods[sup(†)]
- 3.7.2 Equations for 2-D Isotropic Finite Differences[sup(†)]
- 3.8 Exercises
- 4 Ray Theory: Travel Times
- 4.1 Snell’s Law
- 4.2 Ray Paths for Laterally Homogeneous Models
- 4.2.1 Example: Computing X(p) and T(p)
- 4.2.2 Ray Tracing through Velocity Gradients
- 4.3 Travel Time Curves and Delay Times
- 4.3.1 Reduced Velocity
- 4.3.2 The τ(p) Function
- 4.3.3 Example: Computing τ(p)
- 4.3.4 Low-Velocity Zones
- 4.4 Summary of 1-D Ray Tracing Equations
- 4.5 Spherical Earth Ray Tracing
- 4.5.1 The Earth-Flattening Transformation
- 4.6 Three-Dimensional Ray Tracing[sup(†)]
- 4.7 Ray Nomenclature
- 4.7.1 Crustal Phases
- 4.7.2 Whole Earth Phases
- 4.7.3 PKJKP: The Holy Grail of Body Wave Seismology
- 4.8 Global Body Wave Observations
- 4.8.1 Uses of Global Body-Wave Phases
- 4.9 Exercises
- 5 Inversion of Travel Time Data
- 5.1 One-Dimensional Velocity Inversion Theory
- 5.2 Straight-Line Fitting
- 5.2.1 Example: Solving for a Layer Cake Model
- 5.2.2 Other Ways to Fit the T(X) Curve
- 5.3 τ(p) Inversion
- 5.3.1 Example: The Layer Cake Model Revisited
- 5.3.2 Resolving τ(p) and the Slant-Stack Method
- 5.3.3 Linear Programming and Regularization Methods
- 5.4 Summary: One-Dimensional Velocity Inversion
- 5.5 Three-Dimensional Velocity Inversion
- 5.5.1 Setting Up the Tomography Problem
- 5.5.2 Example: Toy Tomography Problem
- 5.5.3 Solving the Tomography Problem
- 5.5.4 Tomography Complications
- 5.5.5 Finite Frequency Tomography and Full Waveform Inversion
- 5.6 Earthquake Location
- 5.6.1 Iterative Location Methods
- 5.6.2 Relative Event Location Methods
- 5.7 Exercises
- 6 Ray Theory: Amplitude and Phase
- 6.1 Energy in Seismic Waves
- 6.2 Geometrical Spreading in 1-D Velocity Models
- 6.3 Reflection and Transmission Coefficients
- 6.3.1 SH-Wave Reflection and Transmission Coefficients
- 6.3.2 Example: Computing SH Coefficients
- 6.3.3 Vertical Incidence Coefficients
- 6.3.4 Energy-Normalized Coefficients
- 6.3.5 Dependence on Ray Angle
- 6.4 Turning Points and Hilbert Transforms
- 6.5 Propagator Matrix Methods for Modeling Plane Waves[sup(†)]
- 6.6 Attenuation
- 6.6.1 Example: Computing Intrinsic Attenuation
- 6.6.2 t* and Velocity Dispersion
- 6.6.3 The Absorption Band Model[sup(†)]
- 6.6.4 The Standard Linear Solid[sup(†)]
- 6.6.5 Earth’s Attenuation
- 6.6.6 Observing Q
- 6.6.7 Nonlinear Attenuation
- 6.6.8 Seismic Attenuation and Global Politics
- 6.7 Exercises
- 7 Reflection Seismology and Related Topics
- 7.1 Background
- 7.2 Zero-Offset Sections
- 7.3 Common Midpoint Stacking
- 7.3.1 Example: Computing Normal Moveout
- 7.4 Sources and Deconvolution
- 7.5 Migration
- 7.5.1 Huygens’s Principle
- 7.5.2 Diffraction Hyperbolas
- 7.5.3 Example: Computing Diffraction Hyperbolas
- 7.5.4 Migration Methods
- 7.6 Velocity Analysis
- 7.6.1 Example: Estimating Layer Velocity and Thickness
- 7.6.2 Statics Corrections
- 7.7 Back-projection
- 7.7.1 The Adjoint Operator as an Inversion Method[sup(†)]
- 7.8 Receiver Functions
- 7.9 The Language of Reflection Seismology
- 7.10 Exercises
- 8 Surface Waves and Normal Modes
- 8.1 Love Waves
- 8.1.1 Solution for a Single Layer
- 8.1.2 Example: Computing Love Wave Dispersion
- 8.2 Rayleigh Waves
- 8.3 Dispersion
- 8.4 Global Surface Waves
- 8.5 Observing Surface Waves
- 8.5.1 Example: Measuring Group and Phase Velocity
- 8.6 Normal Modes
- 8.7 Exercises
- 9 Earthquakes and Source Theory
- 9.1 Green’s Functions and the Moment Tensor
- 9.2 Earthquake Faults
- 9.2.1 Non-Double-Couple Sources
- 9.3 Radiation Patterns and Beach Balls
- 9.3.1 Example: Plotting a Focal Mechanism
- 9.4 Far-Field Pulse Shapes
- 9.4.1 Directivity
- 9.4.2 Example: 2004 Sumatra Earthquake Directivity
- 9.4.3 Source Spectra
- 9.4.4 Empirical Green’s Functions
- 9.5 Stress Drop
- 9.5.1 Example: Estimating Stress Drop
- 9.5.2 Self-Similar Earthquake Scaling
- 9.6 Radiated Seismic Energy
- 9.6.1 Earthquake Energy Partitioning[sup(†)]
- 9.7 Earthquake Magnitude
- 9.7.1 The b-Value
- 9.7.2 Example: Use of b-Value
- 9.7.3 The Intensity Scale
- 9.8 Finite Slip Modeling
- 9.9 The Heat Flow Paradox
- 9.9.1 Why Are Faults Weak?
- 9.10 Exercises
- 10 Earthquake Prediction
- 10.1 The Earthquake Cycle
- 10.2 Earthquake Triggering
- 10.3 Searching for Precursors
- 10.4 Are Earthquakes Unpredictable?
- 10.5 Exercises
- 11 Seismometers and Seismographs
- 11.1 Seismometer as Damped Harmonic Oscillator
- 11.2 Short-Period and Long-Period Seismograms
- 11.3 Modern Seismographs
- 11.4 Exercises
- 12 Earth Noise
- 12.1 Earth’s Background Noise
- 12.2 Cross-Correlation Analysis of Ambient Noise
- 12.3 Exercises
- 13 Anisotropy
- 13.1 Rays and Wavefronts for Anisotropy
- 13.2 Eigenvalue Equation for Anisotropic Media
- 13.2.1 Slowness Surfaces
- 13.2.2 Snell’s Law at an Interface
- 13.3 Weak Anisotropy
- 13.4 Hexagonal Anisotropy
- 13.5 Shear-Wave Splitting
- 13.5.1 Linear Polarization Analysis
- 13.5.2 Estimating Shear-Wave Splitting Parameters
- 13.5.3 Example: Shear-Wave Splitting Observed at RSON
- 13.5.4 SKS Splitting
- 13.5.5 Example: SKS Splitting Analysis for RSON
- 13.5.6 Shear-Wave Splitting Observations
- 13.6 Mechanisms for Anisotropy
- 13.7 Earth’s Anisotropy
- 13.8 Exercises
- Appendix A The PREM Model
- Appendix B Math Review
- B.1 Vector Calculus
- B.2 Complex Numbers
- Appendix C The Eikonal Equation
- Appendix D Python Functions
- Appendix E Time Series and Fourier Transforms
- E.1 Convolution
- E.2 Fourier Transform
- E.3 Hilbert Transform
- Appendix F Kirchhoff Theory
- F.1 Kirchhoff Applications
- F.2 How to Write a Kirchhoff Program
- F.3 Kirchhoff Migration
- Bibliography
- Index




