Wave fields in real media : wave propagation in anisotropic, anelastic, and porous 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 r...
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Main Authors: | |
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Corporate Authors: | |
Published: |
Pergamon,
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Publisher Address: | Amsterdam : |
Publication Dates: | 2001. |
Literature type: | eBook |
Language: | English |
Edition: | First edition. |
Series: |
Seismic exploration,
v. 31 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/handbooks/09501401/31 |
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 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. |
Carrier Form: | 1 online resource (xxiii, 390 pages) : illustrations. |
Bibliography: | Includes bibliographical references (pages 345-370) and indexes. |
ISBN: |
0080439292 9780080439297 9780080468907 008046890X 9780080543710 0080543715 |
Index Number: | QE538 |
CLC: | P315.3 |
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; Chapter 2. Viscoelasticity and wave propagation; Chapter 3. Isotropic anelastic media; Chapter 4. Anisotropic anelastic media; Chapter 5. The reciprocity principle; Chapter 6. Reflection and transmission of plane waves; Chapter 7. Biot's theory for porous media; Chapter 8. Numerical methods; Examinations; Chronology of main discoveries. |