Wave Fields in Real Media book cover

Wave Fields in Real Media

Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media

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 performed in order to understand the physics of wave propagation. The 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.

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

Hardbound, 538 Pages

Published: January 2007

Imprint: Elsevier

ISBN: 978-0-08-046408-4

Contents

  • Contents Preface. Acknowledgments. About the author. Basic notation. Glossary of main symbols. 1. Anisotropic elastic media. 2. Viscoelasticity and wave propagation. 3. Isotropic anelastic media. 4. Anisotropic anelastic media. 5. The reciprocity principle. 6. Reflection and transmission of plane waves. 7. Biot's theory for porous media. 8. Numerical methods.

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