Cargando…
Foundations of anisotropy for exploration seismics /
Over the last few years, anisotropy has become a ""hot topic"" in seismic exploration and seismology. It is now recognised that geological media deviate more or less from isotropy. This has consequences for acquisition, processing and interpretation of seismic data and also helps...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford, England ; Tarrytown, N.Y., U.S.A. :
Pergamon,
1994.
|
| Edición: | 1st ed. |
| Colección: | Handbook of geophysical exploration. Seismic exploration ;
v. 22. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Foundations of Anisotropy for Exploration Seismics; Copyright Page; Preface; Table of Contents; Chapter 1. Fundamentals; 1.1 What is homogeneity? What is anisotropy? What is dispersion?; 1.2 A seismic example; 1.3 What does one gain by replacing an inhomogeneous isotropic medium with a homogeneous anisotropic medium?; 1.4 What causes anisotropy of wave propagation; 1.5 Why should exploration geophysicists care about anisotropy?; APPENDIX 1 A: Analytical derivation of the relation between anisotropy and dispersion.
- Chapter 2. Tools for the description of wave propagation under piecewise homogeneous anisotropic conditions2.1 Ray velocity and normal velocity; 2.2 Wave surface and normal surface; 2.3 Slowness; 2.4 The slowness surface as the inverse of the normal surface; 2.5 The ray-slowness surface; Slowness and wave surface as polar reciprocals; 2.6 A simple example of wave propagation in anisotropic conditions; 2.7 Analytic expressions for the characteristic surfaces; 2.8 Snell'sLaw; 2.9 Summary; APPENDIX 2A Formal description of the transformations used in this chapter
- 2A. 1 Analytic expression for inversion (reflection in a circle)2A.2 Analytic derivation of the tangent curve from the footpoint curve; 2A.3 Analytic derivation of the footpoint curve from the tangent curve; 2A.4 Analytic description of polar reciprocity; 2A.5 Non-trivial examples for the relations between the four surfaces; Chapter 3. Elasticity; 3.1 Tensors and vectors; 3.2 Infinitesimal strain; 3.3 Stress; 3.4 Stress-strain relations; 3.5 Basic symmetries of the elastic tensor and the contracted notation; 3.6 The elastic constants and material symmetry
- 3.7 Elastic constants for a medium not in its natural coordinate system3.8 Definition of an elastic medium; APPENDIX 3A: The relation between elastic constants and rotational symmetry; 3A. 1 Reduction of an arbitrary rotation to a sequence of rotations about one axis each; 3A.2 Vectors under rotation of the coordinate system; 3A.3 Tensors of rank two under rotation of the coordinate system; 3A.4 Tensors of rank two under rotation of the coordinate system; APPENDIX 3B: Invariants of the elastic tensor; 3B. 1 Contractions of tensors; 3B.2 Contraction of the elastic tensor on itself
- 3B.3 Representation of the elastic tensor by surfacesAPPENDIX 3C: FORTRAN subroutines for operations on elastic tensors in four- and two-subscript notation; Chapter 4. Elastic waves
- the dispersion relation and some generalities about slowness and wave surfaces; 4.1 The wave equation; 4.2 The 'dispersion relation' and the Kelvi��n-Christoffel matrix; 4.3 Velocity surface and slowness surface; 4.4 Elements of inflection of the slowness surface; 4.5 Convexity of the inner sheet of the slowness surface; 4.6 Slowness, polarization and symmetry; 4.7 Singular directions