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Seismic Imaging
and Inversion
Application of Linear Inverse Theory
Robert H. Stolt and Arthur B. Weglein
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.
In this book, the authors follow an alternative
approach, which invokes inverse scattering theory.
By developing the theory of seismic imaging from
basic principles, they 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. Full, three-dimensional algorithms are
incorporated for scalar, acoustic, and elastic wave
equations.
The comprehensive and physically complete
linear imaging foundation developed in this volume
presents new results at the leading edge of seismic
processing for target location and identification.
The book serves as a fundamental guide to seismic
imaging principles and algorithms, and their
foundation in inverse scattering theory, for today’s
seismic processing practitioners and researchers.
It is a valuable resource for geoscientists wishing
to understand the basic principles of seismic
imaging, for scientific programmers with an interest
in imaging algorithms, and for theoretical physicists
and applied mathematicians seeking a deeper
understanding of the subject. It will also be of
interest to researchers in other related disciplines
such as remote sensing, non-destructive evaluation,
and medical imaging.
ROBERT H. 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 1979–80 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 1985–1987, and SEG
Publications Committee Chairman from 1987–1989. 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 Laboratory 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.
StoltandWegleinSeismicImagingandInversion
Cover design by Hart McLeod Ltd
STOLT &WEGLEIN: SEISMIC IMAGING AND INVERSION PPC CMYBLK

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Seismic Imaging and Inversion by Robert H. Stolt & Arthur b Weglein

  • 1. Seismic Imaging and Inversion Application of Linear Inverse Theory Robert H. Stolt and Arthur B. Weglein 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. In this book, the authors follow an alternative approach, which invokes inverse scattering theory. By developing the theory of seismic imaging from basic principles, they 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. Full, three-dimensional algorithms are incorporated for scalar, acoustic, and elastic wave equations. The comprehensive and physically complete linear imaging foundation developed in this volume presents new results at the leading edge of seismic processing for target location and identification. The book serves as a fundamental guide to seismic imaging principles and algorithms, and their foundation in inverse scattering theory, for today’s seismic processing practitioners and researchers. It is a valuable resource for geoscientists wishing to understand the basic principles of seismic imaging, for scientific programmers with an interest in imaging algorithms, and for theoretical physicists and applied mathematicians seeking a deeper understanding of the subject. It will also be of interest to researchers in other related disciplines such as remote sensing, non-destructive evaluation, and medical imaging. ROBERT H. 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 1979–80 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 1985–1987, and SEG Publications Committee Chairman from 1987–1989. 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 Laboratory 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. StoltandWegleinSeismicImagingandInversion Cover design by Hart McLeod Ltd STOLT &WEGLEIN: SEISMIC IMAGING AND INVERSION PPC CMYBLK