Wave Fields in Real Media

Wave Fields in Real Media

Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media

4th Edition - August 4, 2022

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  • Author: José Carcione
  • Paperback ISBN: 9780323983433
  • eBook ISBN: 9780323983594

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Description

Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant constitutive relations. The differential formulation can be written in terms of memory variables, and Biot theory is used to describe wave propagation in porous media. For each constitutive relation, a plane-wave analysis is performed to illustrate the physics of wave propagation. New topics are the S-wave amplification function, Fermat principle and its relation to Snell law, bounds and averages of seismic Q, seismic attenuation in partially molten rocks, and more. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics and material science - including many branches of acoustics of fluids and solids - may also find this text useful.

Key Features

  • Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media
  • Presents all equations and concepts necessary to understand the physics of wave propagation
  • Emphasizes geophysics, particularly seismic exploration for hydrocarbon reservoirs, which is essential for the exploration and production of oil

Readership

Researchers in earthquake seismology, rock acoustics and materials science; oil and mining companies dealing with hydrogeology and wave propagation

Table of Contents

  • Cover image
  • Title page
  • Table of Contents
  • Copyright
  • Quotes
  • About the author
  • Preface
  • Bibliography
  • Basic notation
  • Glossary of main symbols
  • Chapter 1: Anisotropic elastic media
  • Abstract
  • 1.1. Strain-energy density and stress-strain relations
  • 1.2. Dynamical equations
  • 1.3. Kelvin-Christoffel equation, phase velocity and slowness
  • 1.4. Energy balance and energy velocity
  • 1.5. Finely layered media
  • 1.6. Anomalous polarizations
  • 1.7. The best isotropic approximation
  • 1.8. Analytical solutions
  • 1.9. Reflection and transmission of plane waves
  • Bibliography
  • Chapter 2: Viscoelasticity and wave propagation
  • Abstract
  • 2.1. Energy densities and stress-strain relations
  • 2.2. Stress-strain relation for 1-D viscoelastic media
  • 2.3. Wave propagation in 1-D viscoelastic media
  • 2.4. Mechanical models and wave propagation
  • 2.5. Constant-Q model and wave equation
  • 2.6. The Cole-Cole model
  • 2.7. Equivalence between source and initial conditions
  • 2.8. Hysteresis cycles and fatigue
  • 2.9. Distributed-order fractional time derivatives
  • 2.10. The concept of centrovelocity
  • 2.11. Memory variables and equation of motion
  • 2.12. Instantaneous frequency and quality factor
  • Bibliography
  • Chapter 3: Isotropic anelastic media
  • Abstract
  • 3.1. Stress-strain relations
  • 3.2. Equations of motion and dispersion relations
  • 3.3. Vector plane waves
  • 3.4. Energy balance, velocity and quality factor
  • 3.5. Boundary conditions and Snell law
  • 3.6. The correspondence principle
  • 3.7. Rayleigh waves
  • 3.8. Reflection and transmission of SH waves
  • 3.9. Memory variables and equation of motion
  • 3.10. Analytical solutions
  • 3.11. Constant-Q P- and S-waves
  • 3.12. Wave equations based on the Burgers model
  • 3.13. P-SV wave equation based on the Cole-Cole model
  • 3.14. The elastodynamic of a non-ideal interface
  • 3.15. SH-wave transfer function
  • Bibliography
  • Chapter 4: Anisotropic anelastic media
  • Abstract
  • 4.1. Stress-strain relations
  • 4.2. Fracture-induced anisotropic attenuation
  • 4.3. Stiffness tensor from oscillatory experiments
  • 4.4. Wave velocities, slowness and attenuation vector
  • 4.5. Energy balance and fundamental relations
  • 4.6. Propagation of SH waves
  • 4.7. Wave propagation in symmetry planes
  • 4.8. Summary of plane-wave equations
  • 4.9. Memory variables and equation of motion
  • 4.10. Fermat principle and its relation to Snell law
  • 4.11. Analytical transient solution for SH waves
  • Bibliography
  • Chapter 5: The reciprocity principle
  • Abstract
  • 5.1. Sources, receivers and reciprocity
  • 5.2. The reciprocity principle
  • 5.3. Reciprocity of particle velocity. Monopoles
  • 5.4. Reciprocity of strain
  • 5.5. Reciprocity of stress
  • 5.6. Reciprocity principle for flexural waves
  • Bibliography
  • Chapter 6: Reflection and transmission coefficients
  • Abstract
  • 6.1. Reflection and transmission of SH waves
  • 6.2. Reflection and transmission of qP-qSV waves
  • 6.3. Interfaces separating a solid and a fluid
  • 6.4. Scattering coefficients of a set of layers
  • Bibliography
  • Chapter 7: Biot theory for porous media
  • Abstract
  • 7.1. Isotropic media. Stress-strain relations
  • 7.2. Gassmann equation and effective stress
  • 7.3. Pore-pressure build-up in source rocks
  • 7.4. The asperity-deformation model
  • 7.5. Anisotropic media. Stress-strain relations
  • 7.6. Kinetic energy
  • 7.7. Dissipation potential
  • 7.8. Lagrange equations and equation of motion
  • 7.9. Plane-wave analysis
  • 7.10. Strain energy for inhomogeneous porosity
  • 7.11. Boundary conditions
  • 7.12. Reflection and transmission coefficients
  • 7.13. Extension of Biot theory to a composite frame
  • 7.14. Extension of Biot theory to partial saturation
  • 7.15. Squirt-flow dissipation
  • 7.16. The mesoscopic-loss mechanism. White model
  • 7.17. The Biot-Gardner effect
  • 7.18. Green function for poro-viscoacoustic media
  • 7.19. Green function for a fluid/solid interface
  • 7.20. Poro-viscoelasticity
  • 7.21. Bounds and averages on velocity and quality factor
  • 7.22. Anelasticity models based on ellipsoidal pores
  • 7.23. Effect of melt on wave propagation
  • 7.24. Anisotropy and poro-viscoelasticity
  • 7.25. Gassmann equation for a solid pore infill
  • 7.26. Mesoscopic loss in layered and fractured media
  • 7.27. Fluid-pressure diffusion
  • 7.28. Thermo-poroelasticity
  • Bibliography
  • Chapter 8: The acoustic-electromagnetic analogy
  • Abstract
  • 8.1. Maxwell equations
  • 8.2. The acoustic-electromagnetic analogy
  • 8.3. A viscoelastic form of the electromagnetic energy
  • 8.4. The analogy for reflection and transmission
  • 8.5. The layer problem
  • 8.6. 3-D electromagnetic theory and the analogy
  • 8.7. Plane-wave theory
  • 8.8. Electromagnetic diffusion in anisotropic media
  • 8.9. Analytical solution for anisotropic media
  • 8.10. Elastic medium with Fresnel wave surface
  • 8.11. Finely layered media
  • 8.12. The time-average and CRIM equations
  • 8.13. Kramers-Kronig relations
  • 8.14. The reciprocity principle
  • 8.15. Babinet principle
  • 8.16. Alford rotation
  • 8.17. Cross-property relations
  • 8.18. Poroacoustic and electromagnetic diffusion
  • 8.19. Electro-seismic wave theory
  • 8.20. Gravitational waves
  • Bibliography
  • Chapter 9: Numerical methods
  • Abstract
  • 9.1. Equation of motion
  • 9.2. Time integration
  • 9.3. Calculation of spatial derivatives
  • 9.4. Source implementation
  • 9.5. Boundary conditions
  • 9.6. Absorbing boundaries
  • 9.7. Model and modeling design. Seismic modeling
  • 9.8. Concluding remarks
  • 9.9. Appendix
  • Bibliography
  • Examinations
  • Chronology of main discoveries
  • Bibliography
  • Leonardo's manuscripts
  • Bibliography
  • A list of scientists
  • Bibliography
  • Bibliography
  • Bibliography
  • Name index
  • Subject index

Product details

  • No. of pages: 826
  • Language: English
  • Copyright: © Elsevier Science 2022
  • Published: August 4, 2022
  • Imprint: Elsevier Science
  • Paperback ISBN: 9780323983433
  • eBook ISBN: 9780323983594

About the Author

José Carcione

José M. Carcione received the degree "Licenciado in Ciencias Físicas" from Buenos Aires University in 1978, the degree "Dottore in Fisica" from Milan University in 1984 and the PhD in Geophysics from Tel-Aviv University in 1987. He was awarded the Alexander von Humboldt scholarship for a position at the Geophysical Institute of Hamburg University, where he stayed from 1987 to 1989. Dr. Carcione received the 2007 Anstey award at the EAGE in London and the 2017 EAGE Conrad Schlumberger award in Paris. He has authored several books and has published more than 360 peer-reviewed articles.

Affiliations and Expertise

Hohai University, Nanjing, China and Istituto Nazionale di Oceanografia e di Geofisica Sperimentale (OGS), Trieste, Italy

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