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| ACOUSTIC AND ELASTIC WAVE FIELDS IN GEOPHYSICS, III , 39
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By
Alex Kaufman, Professor Emeritus, Colorado School of Mines, Golden, USA
A.L. Levshin, Department of Physics, University of Colorado, Boulder, CO 80390, USA
Included in series
Methods in Geochemistry and Geophysics, 39
Description
This monograph is the last volume in the series 'Acoustic and Elastic
Wave Fields in Geophysics'. The previous two volumes published
by Elsevier (2000, 2002) dealt mostly with wave propagation in liquid media.
The third volume is dedicated to propagation of plane,
spherical and cylindrical elastic waves in different media including isotropic and transversely isotropic solids, liquid-solid models,
and media with cylindrical inclusions (boreholes).
Audience
Exploration geophysicists, oil and gas industry
Contents
Introduction.
List of Symbols.
1. Hooke's law, Poisson's relation, and waves along thin bars.
1. Hooke's law and Poisson's relation.
2. Longitudinal waves in a thin bar.
3. Longitudinal sinusoidal waves in a bar.
4. Hooke's law for shear stresses and torsional waves
along a bar.
5. Torsional waves.
6. Bending of a bar at equilibrium and bending waves.
2. Basic equations of elastic waves.
1.
Equations of a motion of an elementary volume.
2. Kinetic and potential energy and its flux.
3. Strain, stress and Hooke's law in the
curvilinear orthogonal system of coordinates.
3. Elastic waves in a homogeneous medium.
1. Longitudinal spherical waves.
2. Spherical
shear wave in a homogeneous medium.
3. The displacement field s caused by the point force.
4. Propagation of waves caused by the point
force.
5. Longitudinal and shear plane waves.
4. Plane waves in a layered medium.
1. Strain and stress in plane waves.
2. Reflection
at the free surface, (normal incidence).
3. Reflection and transmission at the plane boundary of two elastic media, (normal incidence).
4. Reflection from the free surface (oblique incidence).
5. Reflection from the rigid surface (oblique incidence).
6. Reflection and
transmission at the boundary between fluid and elastic medium.
7. Reflection and transmission at the boundary of two elastic media.
8.
Ray tubes and flux of energy.
9. Reflection and transmission of plane waves in a multi-layered elastic medium.
5. Surface waves in
an elastic medium.
1. Rayleigh wave in a homogeneous half-space with a free boundary.
2. Stoneley wave.
3. Love waves.
4. Rayleigh
waves in two-layered medium.
6. Waves in a layered medium caused by linear and point sources.
1. Linear source of P and SV waves
in a homogeneous half-space with a free boundary.
2. Waves in a homogeneous medium caused by the force Fe, (two-dimensional case).
3.
Waves in a homogeneous half-space caused by force Fe.
4. Wavefields in the far zone (linear source at the free surface).
5. Buried linear
source.
6. Linear source in the presence of the boundary: elastic medium and fluid.
7. Point source of elastic waves in the presence
of the free boundary.
7. Propagation of elastic waves in a borehole containing a fluid.
1. Solution of the boundary value problem.
2. Waves in an acoustic medium.
3. Propagation of surface waves along a borehole.
4. Normal modes, head and transient waves.
8. Plane
waves in a transversely isotropic medium.
1. Stress-strain relations in a transversely isotropic medium.
2. Propagation of plane
waves in a transversely isotropic medium.
3. Rays and an energy flow.
4. Phase and ray surfaces.
Appendices.
Appendix A. Equations
of motion of a rigid body.
Appendix B. Matrix algebra and tensors.
Appendix C. Stress tensor.
Appendix D. Deformation and strain tensor.
Appendix E. Relationship between stress and strain.
References.
Index.
| Bibliographic details |
Hardbound, 652 pages, publication date: MAY-2005
ISBN-13: 978-0-444-51955-9
ISBN-10: 0-444-51955-6
Imprint: ELSEVIER
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| Price and Ordering |
Price:
EUR 144.90
USD 195
GBP 115
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Last update: 27 Sep 2008
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