Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Author : J.H.M.T. van der Hijden
language : en
Publisher: Elsevier
Release Date : 2016-05-24
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media written by J.H.M.T. van der Hijden and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Science categories.
Seismic waves are one of the standard diagnostic tools used to determine the mechanical parameters (volume density of mass, compressibility, elastic stiffness) in the interior of the earth and the geometry of subsurface structures. There is increasing evidence that in the interpretation of seismic data - especially shear-wave data - the influence of anisotropy must be taken into account.This volume presents a method to compute the seismic waves that are generated by an impulsive source in a stratified anisotropic medium. Although written with the seismic applications in mind, the method that is developed is not limited to solid-earth geophysics. In fact, the methods discussed in this monograph are applicable wherever waves propagate in stratified, anisotropic media. The standard approach to this problem is to employ Fourier transformations with respect to time and with respect to the horizontal spatial coordinates. To obtain numerical results, the relevant inverse transformations then have to be evaluated numerically. In this monograph the problem is, in contrast to the standard approach, solved by applying the Cagniard-de Hoop method and by representing the wave field as a sum of generalized rays. With this method, the computational results can be obtained relatively easily with any degree of accuracy, and with considerably less computation time. For completeness, analysis of acoustic waves in stratified isotropic media is included. Furthermore, for large horizontal or vertical source-receiver separations very efficient approximations are derived. Several examples and applications are given.
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Author : Joseph H. M. T. van der Hijden
language : en
Publisher:
Release Date : 1987
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media written by Joseph H. M. T. van der Hijden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Author : Joseph Henricus Maria Titus van der Hijden
language : en
Publisher:
Release Date :
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media written by Joseph Henricus Maria Titus van der Hijden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Author : van der Hijden (Joseph H.M.T.)
language : en
Publisher:
Release Date : 1987
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media written by van der Hijden (Joseph H.M.T.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media
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Author : J. H. M. T. Vanderhijden
language : en
Publisher:
Release Date : 1987
Propagation Of Transient Elastic Waves In Stratified Anisotropic Media written by J. H. M. T. Vanderhijden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Elastic Waves In Anisotropic Laminates
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2001-11-13
Elastic Waves In Anisotropic Laminates written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-13 with Technology & Engineering categories.
Ultrasonic non-destructive evaluation (NDE) plays an increasingly important role in determining properties and detecting defects in composite materials, and the analysis of wave behavior is crucial to effectively using NDE techniques. The complexity of elastic wave propagation in anisotropic media has led to a reliance on numerical methods of analysis-methods that are often quite time-consuming and whose results yield even further difficulties in extracting explicit phenomena and characteristics. Innovative and insightful, Elastic Waves in Anisotropic Laminates establishes a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. The treatment furnishes a comprehensive introduction, sound theoretical development, and applications to smart materials, plates, and shells. The techniques, detailed in both the time and frequency domains, include methods that combine the finite element method (FEM) with the Fourier transform approach and the strip element method (SEM). These -methods can also be used for expediently finding the Green's function for anisotropic laminates useful for inverse problems related to wave propagation, and methods for inverse analyses, including conjugate gradient methods, and genetic algorithms are also introduced. The text is complemented by many examples generated using software codes based on the techniques developed. Filled with charts and illustrations, Elastic Waves in Anisotropic Laminates is accessible even to readers from non-engineering backgrounds and offers a unique opportunity to discover methods that can lead to an understanding of the dynamic characteristics and wave motion behaviors of advanced composite materials.
Wave Propagation In Layered Anisotropic Media
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Author : A.H. Nayfeh
language : en
Publisher: Elsevier
Release Date : 1995-09-27
Wave Propagation In Layered Anisotropic Media written by A.H. Nayfeh and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-27 with Technology & Engineering categories.
Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.
Introduction To Elastic Wave Propagation
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Author : Anthony Bedford
language : en
Publisher: Springer Nature
Release Date : 2023-10-04
Introduction To Elastic Wave Propagation written by Anthony Bedford and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Technology & Engineering categories.
This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.
Fundamentals Of Seismic Wave Propagation
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Author : Chris Chapman
language : en
Publisher: Cambridge University Press
Release Date : 2004-07-29
Fundamentals Of Seismic Wave Propagation written by Chris Chapman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-29 with Science categories.
Fundamentals of Seismic Wave Propagation, published in 2004, presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.
Elastic Wave Field Extrapolation
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Author : C.P.A. Wapenaar
language : en
Publisher: Elsevier
Release Date : 2014-04-14
Elastic Wave Field Extrapolation written by C.P.A. Wapenaar and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-14 with Science categories.
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.