Elastic Wave Field Extrapolation

Author : C.P.A. Wapenaar
Publisher : Elsevier
ISBN 13 : 1483291006
Total Pages : 485 pages
Book Rating : 4.00/5 ( download)

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Download or read book Elastic Wave Field Extrapolation written by C.P.A. Wapenaar and published by Elsevier. This book was released on 2014-04-14 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A. J. Berkhout
Publisher : Elsevier
ISBN 13 : 0444601589
Total Pages : 352 pages
Book Rating : 4.82/5 ( download)

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Download or read book Seismic Migration written by A. J. Berkhout and published by Elsevier. This book was released on 2012-12-02 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation derives the migration theory from first principles. This book also obtains a formulated forward modeling and migration theory by introducing the propagation matrices and the scattering matrix. The book starts by presenting the basic results from vector analysis, such as the scalar product, gradient, curl, and divergence. It also describes the theorem of Stokes, theorem of Gause and the Green’s theorem. The book also deals with discrete spectral analysis, two-dimensional Fourier theory and plane wave analysis. It also describes the wave theory, including the plane waves and k-f diagram, spherical waves, and cylindrical waves. This book explores the forward problem and the inward problem of the wave field extrapolation, as well as the modeling by wave field extrapolation. Furthermore, the book explains the migration in the wave number-frequency domain. It also includes the summation approach and finite-difference approach to migration, as well as a comparison between the different approaches to migration. Finally, the book offers the limits of lateral resolution as the last chapter.

Author : Alex Kaufman
Publisher : Elsevier
ISBN 13 : 0080457681
Total Pages : 669 pages
Book Rating : 4.80/5 ( download)

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Download or read book Acoustic and Elastic Wave Fields in Geophysics, III written by Alex Kaufman and published by Elsevier. This book was released on 2005-05-16 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the last volume in the series 'Acoustic and Elastic Wave Fields in Geophysics'. The previous two volumes published by Elsevier (2000, 2002) dealt mostly with wave propagation in liquid media. The third volume is dedicated to propagation of plane, spherical and cylindrical elastic waves in different media including isotropic and transversely isotropic solids, liquid-solid models, and media with cylindrical inclusions (boreholes). * Prevalence of physical reasoning on formal mathematical derivations * Readers do not need to have a strong background in mathematics and mathematical physics * Detailed analysis of wave phenomena in various types of elastic and liquid-elastic media

Author : A. J. Berkhout
Publisher : Elsevier
ISBN 13 : 0444602003
Total Pages : 366 pages
Book Rating : 4.08/5 ( download)

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Download or read book Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation.. written by A. J. Berkhout and published by Elsevier. This book was released on 2012-12-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation, Second Edition, Volume A: Theoretical Aspects covers the theoretical aspects of seismic migration techniques. This volume is divided into 11 chapters that consider the concept of propagation and scattering matrices. This book begins with a presentation of a selection of concepts and properties of seismic migration from vector analysis. These topics are followed by considerable chapters on the mathematical aspects of migration, including discrete spectral analysis, two-dimensional Fourier transforms, and wave theory. The subsequent chapters describe the derivation of the Kirchhoff integral for upward traveling wave field and wave field extrapolation for downward traveling source waves and upward traveling reflected waves. These chapters also propose a matrix formulation to represent single seismic record and multi-record data sets, along with different modeling algorithms. A chapter examines inverse wave field extrapolation, in which the medium must be horizontally layered, the layers being homogeneous. The book ends with a summary and comparison of different approaches to seismic migration.

Author : DANIEL ROYER
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659327
Total Pages : 394 pages
Book Rating : 4.23/5 ( download)

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Download or read book Elastic Waves in Solids I written by DANIEL ROYER and published by Springer Science & Business Media. This book was released on 1999-11-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves possess some remarkable properties and have become ever more important to applications in fields such as telecommunications (signal processing), medicine (echography), and metallurgy (non-destructive testing). These volumes serve as a bridge between basic books on wave phenomena and more technically oriented books on specific applications of wave phenomena. The first volume studies the different mechanisms of propagation in isotropic and anisotropic media. The second volume describes the generation and applications of free and guided waves.

Author : Andreas Fichtner
Publisher : Springer Science & Business Media
ISBN 13 : 3642158072
Total Pages : 352 pages
Book Rating : 4.70/5 ( download)

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Download or read book Full Seismic Waveform Modelling and Inversion written by Andreas Fichtner and published by Springer Science & Business Media. This book was released on 2010-11-16 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.

Author : DANIEL ROYER
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659310
Total Pages : 468 pages
Book Rating : 4.15/5 ( download)

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Download or read book Elastic Waves in Solids II written by DANIEL ROYER and published by Springer Science & Business Media. This book was released on 1999-11-30 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves possess some remarkable properties and have become ever more important to applications in fields such as telecommunications (signal processing), medicine (echography), and metallurgy (non-destructive testing). These volumes serve as a bridge between basic books on wave phenomena and more technically oriented books on specific applications of wave phenomena. The first volume studies the different mechanisms of propagation in isotropic and anisotropic media. The second volume describes the generation and applications of free and guided waves.

Author : Vassily Babich
Publisher : CRC Press
ISBN 13 : 1315314746
Total Pages : 182 pages
Book Rating : 4.47/5 ( download)

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Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

Author : Terumi Touhei
Publisher : CRC Press
ISBN 13 : 104001027X
Total Pages : 284 pages
Book Rating : 4.73/5 ( download)

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Download or read book Theory of Elastic Wave Propagation and its Application to Scattering Problems written by Terumi Touhei and published by CRC Press. This book was released on 2024-04-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic wave propagation applies to a wide variety of fields, including seismology, non-destructive testing, energy resource exploration, and site characterization. New applications for elastic waves are still being discovered. Theory of Elastic Wave Propagation and its Application to Scattering Problems starts from the standpoint of continuum mechanics, explaining stress and strain tensors in terms of mathematics and physics, and showing the derivation of equations for elastic wave motions, to give readers a stronger foundation. It emphasizes the importance of Green’s function for applications of the elastic wave equation to practical engineering problems and covers elastic wave propagation in a half-space, in addition to the spectral representation of Green’s function. Finally, the MUSIC algorithm is used to address inverse scattering problems. Offers comprehensive coverage of fundamental concepts through to contemporary applications of elastic wave propagation Bridges the gap between theoretical principles and practical engineering solutions The book’s website provides the author’s software for analyzing elastic wave propagations, along with detailed answers to the problems presented, to suit graduate students across engineering and applied mathematics.

Author : Daniel Royer
Publisher : John Wiley & Sons
ISBN 13 : 1786308142
Total Pages : 338 pages
Book Rating : 4.46/5 ( download)

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Download or read book Elastic Waves in Solids, Volume 1 written by Daniel Royer and published by John Wiley & Sons. This book was released on 2022-04-19 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 1 presents the different modes of propagation of elastic waves in increasingly complex media and structures. It first studies the propagation in an unlimited solid where only the material properties are taken into account. It then analyzes reflection and transmission phenomena at an interface with a fluid or a second solid. It explains the search for propagation modes on a free surface or at the interface between two media. Finally, it proposes a study of the dispersive propagation of elastic waves guided by a plate or a cylinder. This book is intended for students completing a master’s degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.