Acoustic And Elastic Wave Fields In Geophysics, Iii, Vol. 0 Book

	Introduction	ix
	List of Symbols	xiii
Chapter 1	Hooke's law, Poisson's relation, and waves along thin bars	1
1	Hooke's law and Poisson's relation	2
2	Longitudinal waves in a thin bar	15
3	Longitudinal sinusoidal waves in a bar	38
4	Hooke's law for shear stresses and torsional waves along a bar	42
5	Torsional waves	55
6	Bending of a bar at equilibrium and bending waves	60
Chapter 2	Basic equations of elastic waves	83
1	Equations of a motion of an elementary volume	83
2	Kinetic and potential energy and its flux	102
3	Strain, stress and Hooke's law in the curvilinear orthogonal system of coordinates	109
Chapter 3	Elastic waves in a homogeneous medium	121
1	Longitudinal spherical waves	121
2	Spherical shear wave in a homogeneous medium	134
3	The displacement field s caused by the point force	143
4	Propagation of waves caused by the point force	156
5	Longitudinal and shear plane waves	179
Chapter 4	Plane waves in a layered medium	187
1	Strain and stress in plane waves	187
2	Reflection at the free surface, (normal incidence)	190
3	Reflection and transmission at the plane boundary of two elastic media, (normal incidence)	196
4	Reflection from the free surface (oblique incidence)	201
5	Reflection from the rigid surface (oblique incidence)	215
6	Reflection and transmission at the boundary between fluid and elastic medium	217
7	Reflection and transmission at the boundary of two elastic media	226
8	Ray tubes and flux of energy	231
9	Reflection and transmission of plane waves in a multi-layered elastic medium	236
Chapter 5	Surface waves in an elastic medium	243
1	Rayleigh wave in a homogeneous half-space with a free boundary	244
2	Stoneley wave	252
3	Love waves	259
4	Rayleigh waves in two-layered medium	269
Chapter 6	Waves in a layered medium caused by linear and point sources	275
1	Linear source of P and SV waves in a homogeneous half-space with a free boundary	276
2	Waves in a homogeneous medium caused by the force F[superscript e], (two-dimensional case)	288
3	Waves in a homogeneous half-space caused by force F[superscript e]	294
4	Wavefields in the far zone (linear source at the free surface)	299
5	Buried linear source	332
6	Linear source in the presence of the boundary: elastic medium and fluid	352
7	Point source of elastic waves in the presence of the free boundary	382
Chapter 7	Propagation of elastic waves in a borehole containing a fluid	407
1	Solution of the boundary value problem	407
2	Waves in an acoustic medium	418
3	Propagation of surface waves along a borehole	449
4	Normal modes, head and transient waves	470
Chapter 8	Plane waves in a transversely isotropic medium	481
1	Stress-strain relations in a transversely isotropic medium	482
2	Propagation of plane waves in a transversely isotropic medium	489
3	Rays and an energy flow	498
4	Phase and ray surfaces	504
	Appendices	513
Appendix A	Equations of motion of a rigid body	513
Appendix B	Matrix algebra and tensors	531
B.1	Matrix algebra	531
B.2	Tensors	555
Appendix C	Stress tensor	563
Appendix D	Deformation and strain tensor	597
Appendix E	Relationship between stress and strain	619
	References	645
	Index	649