Wave fields in real media : wave propagation in anisotropic, anelastic, and porous media / by Jose M. Carcione.

Format:

Book

Author/Creator:

Carcione, José M.

Series:

Handbook of geophysical exploration. Seismic exploration ; Section I, v. 31.

Handbook of geophysical exploration. Seismic exploration, 0950-1401 ; v. 31

Language:

English

Subjects (All):

Seismic waves.

Wave-motion, Theory of.

Physical Description:

1 online resource (415 p.)

Edition:

1st ed.

Place of Publication:

Amsterdam ; New York : Pergamon, 2001.

Language Note:

English

Summary:

This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is per

Contents:

Front Cover; WAVE FIELDS IN REAL MEDIA: WAVE PROPAGATION IN ANISOTROPIC, ANELASTIC AND POROUS MEDIA; Copyright Page; Contents; Preface; Acknowledgments; About the author; Basic notation; Glossary of main symbols; Chapter 1. Anisotropic elastic media; 1.1 Strain-energy density and stress-strain relation; 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 Analytical solutions for transversely isotropic media; 1.8 Reflection and transmission of plane waves

Chapter 2. Viscoelasticity and wave propagation2.1 Energy densities and stress-strain relations; 2.2 Stress-strain relation for 1-D viscoelastic media; 2.3 Wave propagation concepts for 1-D viscoelastic media; 2.4 Mechanical models and wave propagation; 2.5 Constant-Q model and wave equation; 2.6 Memory variables and equation of motion; Chapter 3. Isotropic anelastic media; 3.1 Stress-strain relation; 3.2 Equations of motion and dispersion relations; 3.3 Vector plane waves; 3.4 Energy balance, energy velocity and quality factor; 3.5 Boundary conditions and Snell's law

3.6 The correspondence principle3.7 Rayleigh waves; 3.8 Reflection and transmission of cross-plane shear waves; 3.9 Memory variables and equation of motion; 3.10 Analytical solutions; 3.11 The elastodynamic of a non-ideal interface; Chapter 4. Anisotropic anelastic media; 4.1 Stress-strain relations; 4.2 Wave velocities, slowness and attenuation vector; 4.3 Energy balance and fundamental relations; 4.4 The physics of wave propagation for viscoelastic SH waves; 4.5 Memory variables and equation of motion in the time domain; 4.6 Analytical solution for SH waves in monoclinic media

Chapter 5. The reciprocity principle5.1 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; Chapter 6. Reflection and transmission of plane waves; 6.1 Reflection and transmission of SH waves; 6.2 Reflection and transmission of qP-qSV waves; 6.3 Reflection and transmission at fluid/solid interfaces; 6.4 Reflection and transmission coefficients of a set of layers; Chapter 7. Biot's theory for porous media; 7.1 Isotropic media. Strain energy and stress-strain relations

7.2 The concept of effective stress7.3 Anisotropic media. Strain energy and stress-strain relations; 7.4 Kinetic energy; 7.5 Dissipation potential; 7.6 Lagrange's equations and equation of motion; 7.7 Plane-wave analysis; 7.8 Strain energy for inhomogeneous porosity; 7.9 Boundary conditions; 7.10 Green's function for poro-viscoacoustic media; 7.11 Poro-viscoela sticity; 7.12 Anisotropic poro-viscoelasticity; Chapter 8. Numerical methods; 8.1 Equation of motion; 8.2 Time integration; 8.3 Calculation of spatial derivatives; 8.4 Source implementation; 8.5 Boundary conditions

8.6 Absorbing boundaries

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 345-370) and indexes.

ISBN:

9780323983433

9786611072230

9781281072238

1281072230

9780080543710

0080543715

OCLC:

476108985