Seismic Inversion: Theory and Applications

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John Wiley & Sons, Sep 15, 2016 - Science - 256 pages

Seismic inversion aims to reconstruct a quantitative model of the Earth subsurface, by solving an inverse problem based on seismic measurements. There are at least three fundamental issues to be solved simultaneously: non-linearity, non-uniqueness, and instability. This book covers the basic theory and techniques used in seismic inversion, corresponding to these three issues, emphasising the physical interpretation of theoretical concepts and practical solutions.

This book is written for master and doctoral students who need to understand the mathematical tools and the engineering aspects of the inverse problem needed to obtain geophysically meaningful solutions. Building on the basic theory of linear inverse problems, the methodologies of seismic inversion are explained in detail, including ray-impedance inversion and waveform tomography etc. The application methodologies are categorised into convolutional and wave-equation based groups. This systematic presentation simplifies the subject and enables an in-depth understanding of seismic inversion.

This book also provides a practical guide to reservoir geophysicists who are attempting quantitative reservoir characterisation based on seismic data. Philosophically, the seismic inverse problem allows for a range of possible solutions, but the techniques described herein enable geophysicists to exclude models that cannot satisfy the available data. This book summarises the author’s extensive experience in both industry and academia and includes innovative techniques not previously published.

 

Contents

Chapter 1 Basics of seismic inversion
1
Chapter 2 Linear systems for inversion
11
Chapter 3 Leastsquares solutions
24
Chapter 4 Singular value analysis
42
Chapter 5 Gradientbased methods
53
Chapter 6 Regularisation
68
Chapter 7 Localised average solutions
84
Chapter 8 Seismic wavelet estimation
94
Chapter 12 Waveform tomography for the velocity model
156
Chapter 13 Waveform tomography with irregular topography
173
Chapter 14 Waveform tomography for seismic impedance
187
Appendices
202
Exercises and solutions
215
References
235
Author index
242
Subject index
244

Chapter 9 Seismic reflectivity inversion
112
Chapter 10 Seismic rayimpedance inversion
127
Chapter 11 Seismic tomography based on ray theory
139
EULA
247
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About the author (2016)

Yanghua Wang is a Professor at Imperial College London and has held the position of Director of the Centre for Reservoir Geophysics since 2004. He is a founding editor of the Journal of Geophysics and Engineering. He is also a Fellow of the Institute of Physics (FIntP) and a Fellow of the Royal Astronomical Society (FRAS).

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