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Seismic Imaging and Inversion, Volume 1: Application of Linear Inverse Theory

Ties together different approaches to the seismic inverse problem by describing the various models of seismic propagation, reflection and imaging
The presentation enables a basic understanding of the imaging without being buried in mathematics, or a deeper understanding with the help of linearized inverse theory
Incorporates full three-dimensional algorithms

Series: Seismic Imaging and Inversion Volume: 1

By: Robert H Stolt (Author), Arthur B Weglein (Author)

468 pages, 119 b/w illustrations, 1 table

Cambridge University Press

Hardback | Feb 2012 | #191913 | ISBN-13: 9781107014909
Availability: Usually dispatched within 6 days Details
NHBS Price: £103.00 $126/€116 approx

About this book

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 Seismic Imaging and Inversion, Volume 1 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. Seismic Imaging and Inversion, Volume 1 serves as 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.

"[...] suitable for use as a textbook for a graduate-level geophysics course [...]"
- Michael McCormack, The Leading Edge


1. Introduction: modeling, migration, imaging, and inversion
2. Basic migration concepts
3. Prestack migration
4. Migration limitations
5. Models for wave propagation and reflection
6. Green's functions
7. The scattering potential
8. Reflectivity
9. Synthesizing reflection data
10. f-k migration
11. Asymptotic modeling and migration
12. Residual asymptotic migration
13. Asymptotic data mapping and continuation
14. Least-squares asymptotic migration

Appendix A. Conventions and glossary of terms
Appendix B. Coordinates, vectors, and identities
Appendix C. Fourier and radon transforms
Appendix D. Surface and pointwise reflectivity
Appendix E. Useful filters
Appendix F. The phase integral and the stationary phase approximation
Appendix G. The diffraction integral
Appendix H. Wave-based, ray-based and reflector-based coordinates

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Arthur 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 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.

Robert Stolt is currently a Geoscience Fellow at ConocoPhillips. He is an Honorary Member of the Society of Exploration Geophysicists (SEG) and of the Geophysical Society of Tulsa (GST). He obtained a PhD in theoretical physics at the University of Colorado in 1970 and joined Conoco in 1971. He spent 1979 to 1980 at Stanford University 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.

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