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E-raamat: Seismic Imaging and Inversion: Volume 1: Application of Linear Inverse Theory

, (University of Houston)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 09-Feb-2012
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781139211642
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Seismic Imaging and Inversion: Volume 1: Application of Linear Inverse TheorySuurem pilt
  • Formaat: PDF+DRM
  • Ilmumisaeg: 09-Feb-2012
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781139211642
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"Extracting information from seismic data requires knowledge of seismic wave propagation and reflection. The commonly used method involves solving linearly for a reflectivity at every point within the Earth, but this book follows an alternative approach which invokes inverse scattering theory. By developing the theory of seismic imaging from basic principles, the authors relate the different models of seismic propagation, reflection and imaging - thus providing links to reflectivity-based imaging on the one hand and to nonlinear seismic inversion on the other. The comprehensive and physically complete linear imaging foundation developed presents new results at the leading edge of seismic processing for target location and identification. This book servesas a fundamental guide to seismic imaging principles and algorithms and their foundation in inverse scattering theory and is a valuable resource for working geoscientists, scientific programmers and theoretical physicists"--

"Extracting information from seismic data requires knowledge of seismic wave propagation and reflection. The commonly used method involves solving linearly for a reflectivity at every point within the Earth. The resulting reflectivity, however,is not an intrinsic Earth property, and cannot easily be extended to nonlinear processes which might provide a deeper understanding and a more accurate image of the subsurface"--

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' suitable for use as a textbook for a graduate-level geophysics course ' Michael McCormack, The Leading Edge

Muu info

Describes the use of inverse scattering theory in seismic imaging for seismic processing practitioners and theoretical geophysicists.
Preface and acknowledgments ix
1 Introduction - modeling, migration, imaging, and inversion
1(10)
1.1 Seismic data contains information
1(1)
1.2 Models for propagation and reflection
1(2)
1.3 Going forward to go back
3(1)
1.4 Seismic and non-seismic imaging
3(1)
1.5 Motivation for migration
4(2)
1.6 Time and depth migration
6(1)
1.7 Migration velocity
6(2)
1.8 Full-wave and asymptotic migration
8(1)
1.9 Seismic migration and inversion
9(1)
1.10 True amplitude migration
9(1)
1.11 Linear and nonlinear processes
10(1)
2 Basic migration concepts
11(51)
2.1 Migration as a map
11(5)
2.2 Ray-theoretical migration concepts
16(9)
2.3 Downward continuation
25(8)
2.4 Reverse time migration
33(4)
2.5 Claerbout one-way difference-equation migration
37(7)
2.6 Frequency-wavenumber migration methods
44(8)
2.7 Other methods
52(3)
2.8 Time migration
55(5)
2.9 Summary
60(2)
Exercises
60(2)
3 Prestack migration
62(28)
3.1 Prestack migration concepts
62(1)
3.2 Prestack f-k migration in two dimensions
63(10)
3.3 Prestack slant-stack migration in 2.5 dimensions
73(2)
3.4 Prestack ray-theoretical migration
75(5)
3.5 Prestack f-k migration in three dimensions
80(6)
3.6 Prestack reverse-time migration
86(4)
Exercises
89(1)
4 Migration limitations
90(32)
4.1 Perfect and imperfect migrations
90(1)
4.2 Effects of finite bandwidth
90(12)
4.3 Space-domain image amplitude renormalization
102(1)
4.4 Effects of spatial sampling
102(1)
4.5 Effects of maximum dip
103(1)
4.6 Effects of finite spatial aperture
103(10)
4.7 Extra and missing data
113(1)
4.8 Effects of a finite time window
114(4)
4.9 Undermigration and overmigration
118(4)
Exercises
121(1)
5 Models for wave propagation and reflection
122(13)
5.1 The need for models
122(1)
5.2 Wave equations
123(5)
5.3 Building reflections
128(3)
5.4 A scattering-theory model for reflection data
131(4)
Exercises
134(1)
6 Green's functions
135(20)
6.1 The general Green's function
135(2)
6.2 The scalar Green's function
137(3)
6.3 The acoustic Green's function
140(2)
6.4 The elastic Green's function
142(2)
6.5 Local wavenumbers
144(1)
6.6 Multipath Green's functions
145(1)
6.7 Green's functions in a layered medium
146(9)
Exercises
154(1)
7 The scattering potential
155(19)
7.1 The scattering potential as a function of angle
155(2)
7.2 The scalar scattering potential
157(1)
7.3 The acoustic scattering potential
158(1)
7.4 The elastic scattering potential
159(12)
7.5 Summary
171(3)
Exercises
172(2)
8 Reflectivity
174(16)
8.1 Point reflectivity
174(2)
8.2 A scalar reflectivity function
176(3)
8.3 An acoustic reflectivity function
179(2)
8.4 Elastic reflectivity functions
181(5)
8.5 A general formula relating scattering potential and reflectivity
186(1)
8.6 Summary of linearized reflectivity functions
187(3)
Exercises
189(1)
9 Synthesizing reflection data
190(33)
9.1 The Born model for seismic reflections
190(1)
9.2 A constant background
190(7)
9.3 Restricted data sets
197(10)
9.4 A depth-variable background
207(5)
9.5 A generally variable background
212(7)
9.6 Summary
219(4)
Exercises
222(1)
10 Frequency-wavenumber migration
223(26)
10.1 Full constant-velocity migration
223(6)
10.2 Partial f-k migration
229(4)
10.3 Residual f-k migration
233(3)
10.4 Migration in a depth-variable medium
236(13)
Exercises
248(1)
11 Asymptotic modeling and migration
249(22)
11.1 Migration and modeling as mapping
249(1)
11.2 Traveltime and depth functions
250(2)
11.3 Single-valued modeling and migration
252(3)
11.4 Relating the forward and inverse mappings
255(3)
11.5 Constant-angle migration
258(5)
11.6 Special cases
263(8)
Exercises
270(1)
12 Residual asymptotic migration
271(7)
12.1 Combining modeling and migration
271(5)
12.2 Transition zones
276(2)
Exercises
277(1)
13 Asymptotic data mapping and continuation
278(11)
13.1 Combining forward and inverse migration
278(2)
13.2 Constant-velocity depth extrapolation in 2-D
280(5)
13.3 MZO and DMO
285(4)
Exercises
287(2)
14 Least-squares asymptotic migration
289(17)
14.1 Direct versus least-squares inversion
289(1)
14.2 Multipathing
290(1)
14.3 The asymptotic modeling operator in three and two dimensions
291(1)
14.4 Least-squares migration in 2.5-D
292(5)
14.5 Three-dimensional common-angle least-squares migration
297(9)
Exercises
305(1)
Appendix A Conventions and glossary of terms 306(5)
Appendix B Coordinates, vectors, and identities 311(5)
Appendix C Fourier and Radon transforms 316(8)
Appendix D Surface and pointwise reflectivity 324(3)
Appendix E Useful filters 327(26)
Appendix F The phase integral and the stationary phase approximation 353(13)
Appendix G The diffraction integral 366(19)
Appendix H Wave-based, ray-based, and reflector-based coordinates 385(12)
References 397(4)
Index 401
Robert H. Stolt is currently a Geoscience Fellow at ConocoPhillips, Texas. He is an Honorary Member of the Society of Exploration Geophysicists (SEG) and of the Geophysical Society of Tulsa (GST). He obtained a Ph.D. in theoretical physics at the University of Colorado in 1970 and joined Conoco in 1971. He spent 1979 to 1980 at Stanford University, California as Consulting Professor and Acting Director of the Stanford Exploration Project. In 1980 he received the Reginald Fessenden Award for original contributions to geophysics and in 1998 the DuPont Lavoisier Medal for technical achievement. From 1979 to 1985 he was SEG Associate Editor for seismic imaging and inversion, was SEG editor from 1985 to 1987 and SEG Publications Committee Chairman from 1987 to 1989. In 1994 he served as Technical Program Chairman of the Sixty-Fourth Annual SEG Meeting in Los Angeles. Stolt has authored numerous scientific publications, including an earlier text on seismic migration. Arthur B. Weglein holds the Hugh Roy and Lillie Cranz Cullen Distinguished University Professorship in Physics at the University of Houston, with a joint professorship in the Department of Physics and the Department of Earth and Atmospheric Sciences. He is the founder and Director of the Mission-Oriented Seismic Research Program, which began in 2001 and is a consortium supported by the major oil and service companies in the world, as well as various US government programs. Before joining the University of Houston, he worked at Arco's Research Laboratory in Plano, Texas and at Schlumberger Cambridge Research Lab in the UK. Professor Weglein served as the Society of Exploration Geophysicists (SEG) Distinguished Lecturer in 2003 and was awarded the SEG's Reginald Fessenden Award in 2010. In 2008, he received the Distinguished Townsend Harris Medal from the City College of the City University of New York in recognition of his contributions to exploration seismology.
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