Elastic Wave Field Extrapolation (eBook)

Redatuming of Single- and Multi-Component Seismic Data

C.P.A. Wapenaar (Autor)

A. J. Berkhout (Herausgeber)

eBook Download: PDF

2014 | 1. Auflage
485 Seiten
Elsevier Science (Verlag)
978-1-4832-9100-0 (ISBN)

Infos

Extrapolation of seismic waves from the earth's surface to any level in the subsurface plays an essential role in many advanced seismic processing schemes, such as migration, inverse scattering and redatuming. At present these schemes are based on the acoustic wave equation. This means not only that S-waves (shear waves) are ignored, but also that P-waves (compressional waves) are not handled correctly. In the seismic industry there is an important trend towards multi-component data acquisition. For processing of multi-component seismic data, ignoring S-waves can no longer be justified. Wave field extrapolation should therefore be based on the full elastic wave equation.
In this book the authors review acoustic one-way extrapolation of P-waves and introduce elastic one-way extrapolation of P- and S-waves. They demonstrate that elastic extrapolation of multi-component data, decomposed into P- and S-waves, is essentially equivalent to acoustic extrapolation of P-waves. This has the important practical consequence that elastic processing of multi-component seismic data need not be significantly more complicated than acoustic processing of single-component seismic data. This is demonstrated in the final chapters, which deal with the application of wave field extrapolation in the redatuming process of single- and multi-component seismic data.

Geophysicists, and anyone who is interested in a review of acoustic and elastic wave theory, will find this book useful. It is also a suitable textbook for graduate students and those following courses in elastic wave field extrapolation as each subject is introduced in a relatively simple manner using the scalar acoustic wave equation. In the chapters on elastic wave field extrapolation the formulation, whenever possible, is analogous to that used in the chapters on acoustic wave field extrapolation. The text is illustrated throughout and a bibliography and keyword index are provided.

Inhalt

Front Cover 1
Elastic Wave Field Extrapolation: Redatuming of Single-and Multi-Component Seismic Data 4
Copyright Page 5
Table of Contents 10
Dedication 6
Preface 8
Introduction 18
CHAPTER I. ACOUSTIC WAVES 24
1. Introduction 24
2. Acoustic wave equation 24
3. Spherical wave solutions of the acoustic two-way wave equation 30
4. Plane wave solutions of the acoustic two-way wave equation 35
5. References 50
CHAPTER II. ELASTIC WAVES 52
1. Introduction 52
2. Elastic wave equation 52
3. Spherical wave solutions of the elastic two-way wave equation 66
4. Plane wave solutions of the elastic two-way wave equation 71
5. References 89
CHAPTER III. ACOUSTIC TWO-WAY AND ONE-WAY WAVE EQUATIONS 92
1. Introduction 92
2. Acoustic wave equations for horizontally layeredmedia 92
3. Acoustic wave equations for arbitrarily inhomogeneous media 115
4. References 130
CHAPTER IV. ELASTIC TWO-WAY AND ONE-WAY WAVE EQUATIONS 132
1. Introduction 132
2. Elastic wave equations for horizontally layered media 132
3. Elastic wave equations for arbitrarily inhomogeneous media 160
4. References 173
CHAPTER V. ACOUSTIC FORWARD WAVE FIELD EXTRAPOLATION 176
1. Introduction 176
2. Acoustic reciprocity theorems 176
3. Acoustic representation theorems 183
4. Acoustic two-way and one-way Rayleigh integrals 191
5. Acoustic forward wave field extrapolation operators 202
6. References 216
CHAPTER VI. ELASTIC FORWARD WAVE FIELD EXTRAPOLATION 218
1. Introduction 218
2. Elastic reciprocity theorems 218
3. Elastic representation theorems 223
4. Elastic two-way and one-way Rayleigh integrals 245
5. Elastic forward wave field extrapolation operators 253
6. References 272
CHAPTER VII. ACOUSTIC INVERSE WAVE FIELD EXTRAPOLATION IN LOW CONTRAST MEDIA 274
1. Introduction 274
2. Acoustic inverse wave field extrapolation in laterally invariant media 276
3. Acoustic inverse wave field extrapolation in arbitrarily inhomogeneous media 294
4. References 318
CHAPTER VIII. ELASTIC INVERSE WAVE FIELD EXTRAPOLATION IN LOW CONTRAST MEDIA 322
1. Introduction 322
2. Elastic inverse wave field extrapolation in homogeneous isotropic media 322
3. Elastic inverse wave field extrapolation in arbitrarily inhomogeneous anisotropic media 327
4. References 351
CHAPTER IX. ACOUSTIC INVERSE WAVE FIELD EXTRAPOLATION IN HIGH CONTRAST MEDIA 352
1. Introduction 352
2. Recursive acoustic inverse wave field extrapolation... 354
3. Iterative acoustic inverse wave field extrapolation 362
CHAPTER X. ELASTIC INVERSE WAVE FIELD EXTRAPOLATION IN HIGH CONTRAST MEDIA 374
1. Introduction 374
2. Recursive elastic inverse wave field extrapolation 375
3. Iterative elastic inverse wave field extrapolation 378
CHAPTER XI. ACOUSTIC REDATUMING OF SINGLE-COMPONENT SEISMIC DATA 384
1. Introduction 384
2. Forward model for single-component seismic data 385
3. Surface related acoustic pre-processing 397
4. Acoustic redatuming 404
5. References 415
CHAPTER XII. ELASTIC REDATUMING OF MULTI-COMPONENTSEISMIC DATA 416
1. Introduction 416
2. Forward model for multi-component seismic data 416
3. Surface related elastic pre-processing 425
4. Elastic redatuming 435
5. References 440
APPENDIX A: MATRIX NOTATION 442
1. Introduction 442
2. Matrix notation for wave fields 443
3. Matrix notation for operators 445
4. References 448
APPENDIX B: INTERACTIONS OF ONE-WAY ACOUSTIC WAVEFIELDS 450
1. Introduction 450
2. Analysis for forward propagation 451
3. Analysis for backward propgation 459
4. References 464
APPENDIX C: INTERACTIONS OF ONE-WAY ELASTIC WAVEFIELDS 466
1. Introduction 466
2. Analysis for forward propagation 468
3. Analysis for backward propagation 476
4. Reference 479
INDEX 480

Produkt-Details

• Erscheint lt. Verlag: 14.4.2014
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geografie / Kartografie
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geologie
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• ISBN-10: 1-4832-9100-6 / 1483291006
• ISBN-13: 978-1-4832-9100-0 / 9781483291000